A basketball player has made 60​% of his foul shots during the season. Assuming the shots are​ independent, find the probability that in​ tonight's game he does the following. ​a) Misses for the first time on his sixth attempt ​b) Makes his first basket on his fifth shot ​c) Makes his first basket on one of his first 3 shots ​a) The probability that in​ tonight's game the basketball player misses for the first time on his sixth attempt is

Answers

Answer 1

Answer:

a) The probability that in​ tonight's game the basketball player misses for the first time on his sixth attempt is 0.0311 = 3.11%.

b) The probability that in​ tonight's game the basketball player makes his first basket on his fifth shot is 0.0154 = 1.54%.

c) The probability that in​ tonight's game the basketball player makes his first basket on one of his first 3 shots is 0.936 = 93.6%.

Step-by-step explanation:

For each shot, there are only two possible outcomes. Either the player makes it, or he does not. The probability of making a shot is independent of other shots. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

And p is the probability of X happening.

A basketball player has made 60​% of his foul shots during the season.

This means that [tex]p = 0.6[/tex]

a) Misses for the first time on his sixth attempt

Makes the first five, which is P(X = 5) when n = 5.

Misses the sixth, with probability = 1-0.6 = 0.4.

So

[tex]p = 0.4P(X = 5)[/tex]

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]p = 0.4P(X = 5) = 0.4*(C_{5,5}.(0.6)^{5}.(0.4)^{0}) = 0.0311[/tex]

The probability that in​ tonight's game the basketball player misses for the first time on his sixth attempt is 0.0311 = 3.11%.

b) Makes his first basket on his fifth shot

Misses the first four, which is P(X = 0) when n = 4.

Makes the fifth, with a probability of 0.6.

So

So

[tex]p = 0.6P(X = 0)[/tex]

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]p = 0.6P(X = 0) = 0.6*(C_{4,0}.(0.6)^{0}.(0.4)^{4}) = 0.0154[/tex]

The probability that in​ tonight's game the basketball player makes his first basket on his fifth shot is 0.0154 = 1.54%.

c) Makes his first basket on one of his first 3 shots

Either he makes his first basket on one of his first 3 shots, or he misses all of them. The sum of these probabilities is decimal 1.

Misses the first three:

P(X = 0) when n = 3. So

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 0) = C_{3,0}.(0.6)^{0}.(0.4)^{3} = 0.064[/tex]

Makes on one of his first three:

1 - 0.064 = 0.936

The probability that in​ tonight's game the basketball player makes his first basket on one of his first 3 shots is 0.936 = 93.6%.

Answer 2

Answer:

Step-by-step explanation:

The probability that the basket player made a foul shot is 60% which is 0.60

Then the probability of good shot is 1 - 0.60 = 0.40

P = 0.40

a) the probability that the basket player misses for the first time on his sixth attempt ​is

P (first time on his sixth attempt) = (1 - P)⁵ (P)

= (1 - 0.4)⁵(0.4)

= (0.6)⁵(0.4)

= 0.07776 * 0.4

= 0.031104

≅ 0.0311

The probability that​  the basketball player misses for the first time on his sixth attempt is 0.0311

b) P(first basket on his fifth shot) = (1 - P)³ (P)

= (1 - 0.4)⁴(0.4)

= (0.60)⁴(0.4)

= 0.0518

c) The probability of making his first basket in first shot is 0.6

and the  probability of making his first basket in second shot is

0.6 * 0.4 = 0.24

the  probability of making his first basket in third shot is

0.6 * 0.4² = 0.096

So, the probability that the player makes his first basket on one of his first 3 shots is

= 0.6 + 0.24 + 0.096

= 0.936

Thus, the probability that in​ tonight's game the basketball player makes his first basket on one of his first 3 shots is 0.936


Related Questions

what is the area of this circle?

Answers

Answer:

113.1

Step-by-step explanation:

d= 2r

r = 6

area = [tex]\pi r^{2}[/tex] = 36 x [tex]\pi[/tex] = 113.09

Which number is the largest

Answers

Step-by-step explanation:

0.153 is the largest number

Answer:

I believe 0.153 to be the greatest

Step-by-step explanation:

0.153

15%= 0.15

1/12= 0.0833333

1/7= 0.1428571429

Recommendations

Main

Science

ULUSULUI

Sixth grade

FF.21 Relate volume andsurface area HVU

The surface area of this cube is 54 square meters. What is the volume?

cubic meters

Submit pls help

Answers

Answer:

27 cubic meters

Step-by-step explanation:

The surface area of this cube is 54 square meters.

Given a cube of side length s,

Surface Area [tex]=6s^2[/tex]

Therefore:

[tex]6s^2=54\\s^2=54/6\\s^2=9\\s=\sqrt{9}\\ s=3$ meters[/tex]

Volume of a Cube of side length s [tex]=s^3[/tex]

Volume of the cube [tex]=3^3[/tex]

=27 cubic meters

The volume of the cube is 27 cubic meters.

Which game isn’t fair for two players to play?

Answers

Answer:

cube game

Step-by-step explanation:

one of them wins every time

A number cube is rolled. Player 1 gets a point for any number that is 3 or higher, and player 2 gets a point for any number less than 3

If a number cube is rolled and Player 1 gets a point for any number that is 3 or higher and Player 2 gets a point for any number less than 3 it wouldn't be fair to Player 2 because Player 1 has a higher chance of getting points because he/she has more opportunities.

I hope this is correct

What is the solution to the equation?

t+55=466

t+55



Answers

Answer:

t=411

Step-by-step explanation:

t+55=466

466-55

Subtract the numbers

t=411

John borrowed $150,500 to start up his business. He borrowed the money at a 7.75% simple
interest rate for 2 years. How much does John have to pay back at the end of two years

Answers

Answer:

John have to pay back $23,327.50 at the end of two years

Step-by-step explanation:

Simple Interest (I) = (PRT) ÷ 100

where P = Principal, R = Rate, T= Time

I = ($150500 × 7.75 × 2) ÷ 100

I = ($2332750) ÷ 100

I = $23,327.50

Find the value of m.
C
1190

A
B
A 61
B 30°
C 45
D 41°​

Answers

Answer:

b

Step-by-step explanation:

As quality control manager at a raisin manufacturing and packaging plant, you want to ensure that all the boxes of raisins you sell are comparable, with 30 raisins in each box (assume the population average number of raisins per box is 30). In the plant, raisins are poured into boxes until the box reaches its sale weight. To determine whether a similar number of raisins are poured into each box, you randomly sample 36 boxes about to leave the plant and count the number of raisins in each. In this sample, you find the mean number of raisins in each box to be 28.05, with a standard deviation of 3.87.
1. Perform a two-tailed, single sample t test (p<.05) to determine whether the average number of raisins per box differs from the expected 30.
2. What type of statistical analysis should be run to address this question?3. What are the assumptions of your chosen statistical test?4. Identify the null and alternative/research hypotheses in both words and symbols.

Answers

Answer:

Step-by-step explanation:

The population average number of raisins per box is 30.

The type of statistical analysis to be run here is the inferential statistical analysis and its assumptions include normality, linearity and equality of variance.

Null hypothesis: Average number of raisins per box is 30: u = 30

Alternative hypothesis: Average number of raisins per box is not 30: u ≠ 30

To perform a two tailed single sample test, we have

z statistic = (the sample mean - hypothesized mean) / (SD/√n)

sample mean = 28.05, SD = 3.87 hypothesized mean = 30 n = 36

Thus, we have 28.05 - 30 / (3.87/√36)

= -1.95 / (3.87/6)

= -1.95 / 0.645

= -3.023

we say this is a left tailed test and use the negative z table

where -3.02 = 0.0013

To determine whether the average number of raisins per box differs from the expected 30.

Using p < 0.05, since the observed value 0.0013 is less than 0.05, we conclude the the average number of raisins per box differs from the expected 30.

The scale for a drawing is 1 centimeter to 5 meters. If the actual object is 35 meters, the drawing is _____ centimeters long.

30
175
7
40

Answers

Answer:

7

Step-by-step explanation:

Answer:

the answer is 7

Step-by-step explanation:

Which account has the lowest minimum balance requirement?

Bank Account Terms and Conditions

A

B

C

D

$500

$250

$300

Minimum

Balance

Interest

$100

0%

0.02%

0%

Overdraft

0.2%

$0 if linked

with savings

account or

140 per

overdraft

$35 per

$25 per

$25 per

Fees

overdraft

Overdraft

overdraft

ATM

Us age/Fees

$0 for all

ATMs

$0 for ABC

bank ATMS

53 for non-

ABC bank

ATMs

$4 per

transaction

$3 per

transaction

Answers

Answer:

Bank account D

Step-by-step explanation:

In order to maintain bank account A,the minimum balance requirement is $500 which is the highest minimum balance requirement when compared to other bank accounts.

Also, in order to maintain bank account D,the least balance required is $100,this is the lowest when compared with other bank accounts available,hence it is the correct answer in this case since the requirement was about the bank account with the lowest minimum balance

Answer

Bank account D

y = [ 1 and u = [ 6
3 ] 2 ]
Write y as the sum of a vector in Span {u} and a vector orthogonal to u.
y = z = ___ + ___. ​(Type an integer or simplified fraction for each matrix element. List the terms in the same order as they appear in the original​ list.)

Answers

Answer:

Take [tex]b = \frac{3}{10}(6,2)[/tex] as the vector in Span(u) and [tex]w =  \frac{4}{5}(-1,3)[/tex] as the orthogonal vector to u

Step-by-step explanation:

Given vectors a,b we can calculate the projection of a onto b by the formula

[tex] \frac{a\cdot b}{b\cdot b}b[/tex]. where [tex]\cdot[/tex] is the dot product of vectors.

For this example, we will take y = [1,3] and u = [6,2].

Let b be the projection of y onto u. That is

[tex] b= \frac{y\cdot u}{u\cdot u}u = \frac{1\cdot 6+ 3\cdot 2}{6\cdot 6+2\cdot 2}(6,2) = \frac{3}{10}(6,2)[/tex]

Now, we want to find an orthogonal vector w such that b+w = y. From this equation, we can find w by taking w = y-b. Then

[tex] w = (1,3)-\frac{3}{10}(6,2) = \frac{4}{5}(-1,3)[/tex]

We must check that w and u are orthogonal. Note that if the vectors a,b are orthogonal, then the vectors a, kb are also orthogonal for every non-zero value of k. So, to check that a,kb are orthogonal, it suffices to check that a,b are orthogonal. We know that two vectors are orthogonal if and only if their dot product is zero. In our case, take the vector (6,2) and (-1,3). Note that

[tex](6,2)\cdot(-1,3) = -6+2\cdot3 = 0[/tex]

So, by the previous analysis, w and u are orthogonal.

What’s the correct answer for this? Which value is equivalent to sin 20?

Answers

Answer:

So the value of sin20 = 0.342

Step-by-step explanation:

The value proportional or equivalent to sin20 can be gotten from calculator value directly or from a graph.

But right niw the most suitable answer is the value for the calculator because its difficulty and complications have been reduced

So the value of sin20 = 0.342

A movie theater has a seating capacity of 253. The theater charges $5.00 for children, $7.00 for students, and $12.00 of adults. There are half as many adults as there are children. If the total ticket sales was $ 1828 on a sold out night, how many children, students, and adults attended?

children attended=
adults attended=
students attended=

Answers

Answer:

children attended= 114

adults attended= 57

students attended= 82

Step-by-step explanation:

children attended= c

adults attended=  a

students attended=  s

c+s+a = 253

5c + 7s + 12a = 1828

c=2a

2a + s + a =253

5*2a + 7s + 12a = 1828

3a + s = 253

22a + 7s = 1828

s = 253 - 3a

22a + 7(253 - 3a) = 1828

22a - 21a + 7*253 = 1828

a = 1828 - 7*253

a = 57

s = 253 - 3a = 253 - 3*57 = 82

s = 82

c=2a=2*57= 114

c=114

Write what the expressions below best represent within the context of the word problem.

Mark had 3 times as many quarters as nickels. He had $1.60 in all. How many nickels and how many quarters did Mark

have?

x represents

3x represents

TURN IT IN

NEXT QUESTION

ASK FOR HELP

Answers

Answer:

2 nickels

6 quarters

Step-by-step explanation:

Let quarters be 3x and nickels be $x

if Mark had 3 times as many quarters as nickels, and if he had $1.60 in all, than

( 0.25)3x + 0.05x=1.6

0.75x+ 0.05x=1.6

0.8x=1.6

x=1.6/0.8

x=2 nickels

and 3 (2)=6 quarters

Answer:

There are 4 quarters and 12 nickels.

Step-by-step explanation:

A quarter is equal to $0.25.

A nickel is equal to $0.05.

Let the number of nickels be y.

Let the number of quarters be x.

Mark had 3 times as many quarters as nickels. This means that:

y = 3x

3x represents the number of nickels.

We are told that he had $1.60 in all. This means that:

0.25x + 0.05y = 1.60

=> 0.25x + 0.05 * 3x = 1.60

0.25x + 0.15x = 1.60

0.40x = 1.60

=> x = 1.6 / 0.4 = 4

Therefore:

y = 3 * 4 = 12

There are 4 quarters and 12 nickels.

Pythagorean Theorem Word
Problems
You start driving north for 32 miles, turn
right, and drive east for another 24 miles,
At the end of driving, what is your straight
line distance from your starting point?​

Answers

Answer:

40 miles

Step-by-step explanation:

In the attached diagram, Point A is the starting point and C is the end point. We want to determine the distance from A to C.

The path driven forms a right triangle in which AC is the hypotenuse.

We therefore use the Pythagorean Theorem to solve for the AC.

Pythagorean Theorem: [tex]Hypotenuse^2=Opposite^2+Adjacent^2[/tex]

[tex]|AC|^2=32^2+24^2\\|AC|^2=1600\\|AC|=\sqrt{1600}\\ |AC|=40$ miles[/tex]

The  straight  line distance from the starting point is 40 miles.

PLEASEEEE HELPP MEEE WITHHH NUMBERSSS 9 AND 10

PLEASEEE HELPPP MEEEEE!!!!!!!!

Answers

Answer:

9: 89°

Step-by-step explanation:

Inside of a triangle is 180, so 180-39-52=89

I'm sorry I can't answer 10 for you

what is the minimum amount of real solutions a quintic polynomial can have

Answers

Answer:

1

Step-by-step explanation:

I'm not sure if this is right, but I think it's 1. If you think about the simplest quintic polynomial, x^5, and set it to any real number, you'll always get 1 solution. I don't think it's possible to have 0 or no real solutions. Hope this helps!

1 this is the answer and I must have 20 characters

The drama club is selling short-sleeved shirts for $5 each, and long-sleeved shirts for $10 each. They hope to sell all of the shirts they ordered, to earn a total of $1,750. After the first week of the fundraiser, they sold StartFraction one-third EndFraction of the short-sleeved shirts and StartFraction one-half EndFraction of the long-sleeved shirts, for a total of 100 shirts. How many short-sleeved shirts were ordered?


How many long-sleeved shirts were ordered?

Answers

Answer:

150 short-sleeved shirts100 long-sleeved shirts

Step-by-step explanation:

Let S and L represent the numbers of short- and long-sleeved shirts ordered.

The expected earnings were ...

  5S +10L = 1750

The number sold was ...

  (1/3)S + (1/2)L = 100

We can multiply the first equation by 1/5 and the second equation by 6 to put the equations into standard form:

S +2L = 3502S +3L = 600

Subtracting the second equation from twice the first gives ...

  2(S +2L) -(2S +3L) = 2(350) -(600)

  L = 100 . . . . . . simplify

  2S +3(100) = 600

  S = 150

150 short-sleeved and 100 long-sleeved shirts were ordered.

Answer:

b

Step-by-step explanation:

i did it on edge

The owner of a small deli is trying to decide whether to discontinue selling magazines. He suspects that only 10% of his customers buy a magazine and he thinks that he might be able to use the display space to sell something more profitable. Before making a final decision, he decides that for one day he will keep track of the number of customers that buy a magazine. Assuming his suspicion that 10% of his customers buy a magazine is correct, what is the probability that exactly 5 out of the first 13 customers buy a magazine?

Answers

Answer:

0.55% probability that exactly 5 out of the first 13 customers buy a magazine

Step-by-step explanation:

For each customer, there are only two possible outcomes. Either they buy a magazine, or they do not. The probability of a customer buying a magazine is independent of other customers. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

And p is the probability of X happening.

10% of his customers buy a magazine

This means that [tex]P = 0.1[/tex]

What is the probability that exactly 5 out of the first 13 customers buy a magazine?

This is P(X = 5) when n = 13. So

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 5) = C_{13,5}.(0.1)^{5}.(0.9)^{8} = 0.0055[/tex]

0.55% probability that exactly 5 out of the first 13 customers buy a magazine

Answer:

[tex] P(X=5) = (13C5) (0.1)^5 (1-0.1)^{13-5}= 0.00554[/tex]

So then  he probability that exactly 5 out of the first 13 customers buy a magazine is 0.0554

Step-by-step explanation:

Let X the random variable of interest "number of customers that buy a magazine", on this case we can model the variable of interest with this distribution:

[tex]X \sim Binom(n=13, p=0.1)[/tex]

The probability mass function for the Binomial distribution is given as:

[tex]P(X)=(nCx)(p)^x (1-p)^{n-x}[/tex]

Where (nCx) means combinatory and it's given by this formula:

[tex]nCx=\frac{n!}{(n-x)! x!}[/tex]

We want to find this probability:

[tex] P(X=5)[/tex]

And using the probability mass function we got:

[tex] P(X=5) = (13C5) (0.1)^5 (1-0.1)^{13-5}= 0.00554[/tex]

So then  he probability that exactly 5 out of the first 13 customers buy a magazine is 0.0554

Which two sentences contain incorrect punctuation?

One question that society finds problematic to answer is what energy sources will people utilize when the earth is drained of natural resources such as coal or oil.

Upon discovering the errors in the film —the abusive remarks—the movie release was immediately postponed and was sent back to the editors for correction.

Maintaining hygiene is a good way to keep illnesses at bay; this can be done by washing hands, brushing teeth, and bathing regularly.

The American writer and philosopher, Henry David Thoreau comments that by simplifying one's life, "the laws of the universe will appear less complex."

The adrenaline produced in our body during a confrontation leads to two possible responses by the person run away to safety, or stand one's ground and fight.

Reset

Answers

Answer:

D). The American writer and philosopher, Henry David Thoreau comments that by simplifying one's life, "the laws of the universe will appear less complex."

E). The adrenaline produced in our body during a confrontation leads to two possible responses by the person run away to safety, or stand one's ground and fight.

Explanation:

Punctuation marks are elucidated as the signs and symbols that function to enhance the readability of the sentences and indicate the grammatical construction of the readers. It assists them in understanding the meaning of the sentence more clearly and comprehensively.

In the given sentences, the last two sentence are incorrectly punctuated as they both wrongly employ comma(,) in it. Option D inappropriately punctuates comma(,) in the complex sentence while the last option falsely puts comma before conjunction 'or.' Thus, options D and E are the correct answers.

What’s the correct answer for this?

Answers

Answer:

Step-by-step explanation:

Please help. I will make brainlest award for the correct answers

Answers

Step-by-step explanation:

HOPE THIS HELP YOU !!! :)))

Leg of the right triangle is three units in the hypotensive is seven units what is the length in units of the other leg of the triangle

Answers

Answer:

2[tex]\sqrt{10}[/tex]

Step-by-step explanation:

You can get this by using the Pythagorean Theorem

a^2 + b^2 = c^2

where a and b are the legs and c is the hypotenuse

3^2 + b^2 = 7^2

9 + b^2 = 49

b^2 = 40

sqrt of both sides

b = [tex]\sqrt{40}[/tex]

b = 2[tex]\sqrt{10}[/tex]

if this helps please give me brainliest

Which linear function has the same y-intercept as the one that is represented by the graph?

On a coordinate plane, a line goes through points (3, 4) and (5, 0).
A 2-column table with 4 rows. Column 1 is labeled x with entries negative 3, negative 1, 1, 3. Column 2 is labeled y with entries negative 4, 2, 8, 14.
A 2-column table with 4 rows. Column 1 is labeled x with entries negative 4, negative 2, 2, 4. Column 2 is labeled y with entries negative 26, negative 18, negative 2, 6.
A 2-column table with 4 rows. Column 1 is labeled x with entries negative 5, negative 3, 3, 5. Column 2 is labeled y with entries negative 15, negative 11, 1, 5.
A 2-column table with 4 rows. Column 1 is labeled x with entries negative 6, negative 4, 4, 6. Column 2 is labeled y with entries negative 26, negative 14, 34, 46.

Answers

The linear function y = 6x +10 has the same y intercept as the one that is represented by the graph. Option D is correct.

What are functions?

Functions is the relationship between sets of values. And shows their characteristic curve as well.

Here, the curve shows in the graph as y intercept of 10 on y axis, is linear function. From options we have only one option that show the same y intercept y = 10.
That linear function ⇒ y =6x+18 (obtained from option D).

Thus, the linear function y = 6x +10 has the same y intercept as the one that is represented by the graph.

learn more about function here:

brainly.com/question/21145944

#SPJ2

Answer:

The linear function y = 6x +10 has the same y intercept as the one that is represented by the graph. Option D is correct.

Step-by-step explanation:

What is the value of x in the product of powers below? 6 Superscript 9 times 6 Superscript x = 6 squared Negative 11 negative 7 7 11 NEED IT QUICK

Answers

Answer:

  -7

Step-by-step explanation:

(6^9)(6^x) = 6^2

Taking logarithms to the base 6, we have ...

  9 + x = 2

  x = -7 . . . . . subtract 9

Answer:

-7

Step-by-step explanation:

Kendra was asked to find the number of students who planned to attend the evening symphony performance. She was told that 40 percent of the 50 students planned to attend. Kendra’s work is shown below.

Answers

Answer:

Kendra should of divided by 2

Step-by-step explanation:

Answer: B

Step-by-step explanation:

C-Spec, Inc., is attempting to determine whether an existing machine is capable of milling an engine part that has a key specification of {eq}4 \pm 0.003 {/eq} inches. After a trial run on this machine, C-Spec has determined that the machine has a sample mean of 4.001 inches with a standard deviation of 0.002 inch.
a. Calculate the {eq}C_{pk} {/eq} for this machine
b. Should C-Spec use this machine to produce this part? Why?

Answers

Answer:

Step-by-step explanation:

Given that :

sample mean = 4.001 inches

sample standard deviation = 0.002 inch

a.

[tex]C_{pk} = min [\dfrac{(USL- \bar X)}{(3*std \ dev)} \ ; \ \dfrac{ (\bar X- LSL)}{(3*std \ dev)}][/tex]

specification = [tex]4 \pm 0.003[/tex]

Upper specification limit USL = 4 + 0.003  = 4.003

Lower specification limit LSL =  4 - 0.003 = 3.997

[tex]\dfrac{ (\bar X- LSL)}{(3*std \ dev)} = \dfrac{ (4.001-3.997)}{(3*0.002)}[/tex]  [tex]= 0.667[/tex]

[tex]\dfrac{(USL- \bar X)}{(3*std \ dev)} =\dfrac{(4.003-4.001)}{(3*0.002)}[/tex][tex]= 0.333[/tex]

Thus ;

[tex]C_{pk} =[/tex][tex]min (0.333 , 0.667)[/tex]  = 0.333

[tex]C_{pk}[/tex]  is a measure of closeness to one's target and the consistency around the average performance.

b) No, C - spec should not use this machine to produce this part because [tex]C_{pk}[/tex] <  1.33 which typical means that the part is not fully capable of hitting the target specification on a consistent basis .

Job has to pay $9.00 admission for the skating rink and $2 per to rent rollerblades how many hours can he skate for $19

Answers

Answer:

5 hours

Step-by-step explanation:

Here we can create an equation to solve for the number of hours (x) this man can skate for.

Since he has to pay a $9 flat fee, that will be a constant value or our y-intercept in this case.

Our equation will be y = 2x + 9

Since we know his budget is $19, we can set our equation equal to 19, or replace y in this case.

So now we have 19 = 2x +9

Now we need to subtract 9 from both sides to get 10 = 2x

Then we need to divide both sides by 2 to get 5 = x

So this man can skate for 5 hours considering his budget

If the gardener can fill the border with 30 flowers planted 12 inches apart, how far apart should the gardener plant 36 flowers instead?

Answers

Answer:

10 inches

Step-by-step explanation:

This inversely proportional function, the more flowers - the less distance.

Flowers = k/distance

30 = k/12

k = 30*12 = 360

Flowers = 360/distance

New number of flowers and new distance:

Flowers = 360/distance

36 = 360/distance

distance = 360/36= 10 (inches)

tbe ages of jerry mile and rawl total 80 years jerry is twice as old as mile and mile is three times as old as rawl how old is jerry????​

Answers

Answer:

rawl- 8 years old

mile- 24 years old

jerry- years old

Step-by-step explanation:

Other Questions
PLEAsE ANSWER WILL BE MARKED BRAINLIEST!!9. Which student needs to make sure they don't do too much too fast? A. Brandon just joined the swim team. He already swims 4 days a week. B. Justin is starting to play tennis. He already plays soccer 3 days a week. C. Kyle is going to start running an extra day every week. He already runs 2 days a week. D. All of the above How did the North and the South Prepare for the Civil war? what are the sub regions of south america LOTS OF POINTSIts starting to get colder at night, so Sam decides to remove the goldfish from the pond in his backyard. He tries to catch the fish with a net; however, even though he can clearly see the fish in the water, he misses it. He infers that he missed because the light is being refracted. What is causing the refraction? 1: The air and the water are different colours.2: The air and the water have different densities (and media).3: The water is reflecting the light.4: The air is reflecting the light.EXPLAIN YOUR ANSWER What is the volume of a sphere with a radius of 21 units?A. 9261 pie units 3B. 12,348 pie units 3C. 588 pie units 3D. 37,044 pie units 3 What is the solution to the equation 3 1/2+ p = 5 1/4 ?p = p = 2 p = p = 1 During the investigation of a murder case, the police found a few bloodstains on the body of the victim, a few bloodstains on the wall nearby and a few hair follicles by the victim. How could this evidence be used to identify the murderer?A by matching both blood samples (from the wall and from the victim) to the DNA of the victim.B. by matching both blood samples (from the wall and from the victim) to the police database of DNA profiles of convictedoffenders.C. by matching the DNA in the hair follicles and in both blood samples (from the wall and from the victim) to that of the victimand to the DNA database of convicted offenders. The passage of a bolus of food down the esophagus is assisted by what? MULTIPLE CHOICE.A. Enzymes and acidsB. The lower esophageal sphincterC. PeristalsisD. The pyloric sphincter How many groups did Aristotle use to divide all the organisms in the world? do you believe that carolyn bryant was afraid of emmett till? Help me please Im stuck Trump Trade Wars. Read the current event and explain if it is good or bad.Plz help Khloe opened the letter and glitter spilled everywherehighlight the direct object Which best describes the purpose of the thesis statement in an interpretive essay about a novel? A. It sets up the essay by serving as the first sentence. B. It captures the readers attention with a surprising statement. C. It describes what the author claims and will be persuading the reader of. D. It presents the best textual evidence. Can someone help me out??? I need this done ASAP TYSM!! Help Please, i will give all my points and mark brainliest!!!!!!!!!!!! How do connotations differ from denotations?Connotations are in the thesaurus.Connotations are implied; they are not directly stated.Connotations are only used by authors.Connotations are spelled easily. What is the answer to 6.5% of 300? Help me with this please Use the information in the illustration to find the distance from the boathouse to the cabin. Round your answer to the nearest yard.