Answer:
I think it's 462. I'm sry if I'm wrong.
PLEASEE HELPP MEEE WITH NUMBERSSS 6 AND 7
ILL MARKK U BRAINLIEST FOR UR EFFORT FOR THE CORRECT ANSWER!!!!!!!!!!
Answer:
6.)66 degrees
7.)20 degrees
Step-by-step explanation:
Step-by-step explanation:
Angle 114 and angle 3 are supplementary, meaning that they can be added to get 180 degrees
If you subtract 114 from 180 you get 66 degrees
Angle D and Angle C are both complimentary, meaning that if you add them together you get 90 degrees
If you subtract 70 from 90 you get 20
The average length of "short hospital stays" for men is slightly longer than that for women, 5.6 days versus 4.5 days. A random sample of recent hospital stays for both me and women revealed the following.
1. The goal of the study is to determine if there is sufficient evidence to conclude, at α = 0.01, that the average hospital stay for men is longer than the average hospital stay for women?
Men Women
Sample size 37 35
Sample mean 5.6 days 4.5 days
Population standard deviation 1.2 days 1.6 days
2. What would be the critical value(s)?
A) +_2.58
B) 2.58
C) 2.33
D) +_2.33
Answer:
1) There is enough evidence to support the claim that the average hospital stay for men is longer than the average hospital stay for women. (P-value = 0.00051).
2) zc=2.33
Step-by-step explanation:
1) This is a hypothesis test for the difference between populations means.
The claim is that the average hospital stay for men is longer than the average hospital stay for women.
Then, the null and alternative hypothesis are:
H_0: \mu_1-\mu_2=0\\\\H_a:\mu_1-\mu_2> 0
The significance level is 0.01.
The sample 1, of size n1=37 has a mean of 5.6 and a standard deviation of 1.2.
The sample 2, of size n2=35 has a mean of 4.5 and a standard deviation of 1.6.
The difference between sample means is Md=1.1.
[tex]M_d=M_1-M_2=5.6-4.5=1.1[/tex]
The estimated standard error of the difference between means is computed using the formula:
[tex]s_{M_d}=\sqrt{\dfrac{\sigma_1^2}{n_1}+\dfrac{\sigma_2^2}{n_2}}=\sqrt{\dfrac{1.2^2}{37}+\dfrac{1.6^2}{35}}\\\\\\s_{M_d}=\sqrt{0.039+0.073}=\sqrt{0.112}=0.335[/tex]
Then, as we know the population standard deviation of both, we can calculate the z-statistic as:
[tex]z=\dfrac{M_d-(\mu_1-\mu_2)}{s_{M_d}}=\dfrac{1.1-0}{0.335}=\dfrac{1.1}{0.335}=3.29[/tex]
This test is a right-tailed test, with z=3.29, so the P-value for this test is calculated as:
[tex]P-value=P(z>3.29)=0.00051[/tex]
As the P-value (0.00051) is smaller than the significance level (0.01), the effect is significant.
The null hypothesis is rejected.
There is enough evidence to support the claim that the average hospital stay for men is longer than the average hospital stay for women.
2. The critical values for this right tail test are calculated from the z-table and the significance level (α=0.01)
[tex]P(z>z_c)=0.01[/tex]
This happens for zc=2.33:
[tex]P(z>2.33)=0.01[/tex]
Kelly can tune 4 cars in 3 hours. If we assume he works at a constant rate, we can describe the situation using a function. a) Write the function that represents Kelly’s constant rate of work.
Your answer
Answer:
Rate = (4C)cars/3(H)hrs
Step-by-step explanation:
Kelly can tune 4 cars in 3 hours.
The rate at which he dies work = 4/3
Thanks rate at which he tunes cars = 4/3 cars/hr
The expression of the above formula for C fraction of 4 cars and H fraction of 3 hours will be 4(C)/3(H)
Rate = (4C)cars/3(H)hrs
What is 192837288-19929
Step-by-step explanation:
The answer is to your question is 192817359
Suppose that a college student is taking three courses: a two-credit course, a three-credit course, and a four-credit course. The expected grade in the two-credit course is 3.5, while the expected grade in the three- and four-credit courses is 3.0. What is the expected overall grade point average for the semester?
Answer:
The overall expected grade point average for the semester is 3.16/3.1 or 3.2 if you round it up.
Step-by-step explanation:
To get the average, you need to add up all the numbers then divide the sum by how many numbers you added.
3.5 + 3.0 + 3.0 = 9.5
9.5 / 3 = 3.16
Given Information:
expected grade in two-credit course = 3.5
expected grade in three-credit course = 3.0
expected grade in four-credit course = 3.0
Required Information:
Expected overall grade point average = ?
Answer:
The expected overall grade point average of this college student is 3.11
Step-by-step explanation:
The overall expected grade point average is given by
E(X) = Sum of grades/Total number of credit hours
Sum of grades = ∑ weightage*expected grades
Sum of grades = 2*3.50 + 3*3.0 + 4*3.0 = 28
Total number of credit hours = 2 + 3 + 4 = 9
E(X) = Sum of grades/Total number of credit hours
E(X) = 28/9
E(X) = 3.11
Therefore, the expected overall grade point average of this college student is 3.11 .
Using the letter x for any unknown number. i think of a number i add one and then double it
Answer:
2(x+1) or 2x+2
If it takes a planet 1.2 years to orbit the Sun, how long (in years) will it take the planet to go all the way around our sky once?
Answer:
about 225-250 million years:
The radius of a sphere is multiplied by . What effect does this have on the volume of the sphere? A. The volume of the sphere is multiplied by 1/343. B. The volume of the sphere is multiplied by 1/49. C. The volume of the sphere is multiplied by 1/7 . D. The volume of the sphere is multiplied by 1/21 . E. The effect on the volume of the sphere cannot be determined.
Answer:
Option A. The volume of the sphere is multiplied by 1/343.
Step-by-step explanation:
The volume of a sphere can be obtained by the following formula:
V = 4/3πr^3
Let the initial volume (V1) of the sphere be:
V1 = 4/3πr^3 = (4πr^3)/3
Now, if we multiply the radius by 1/7, then the new volume (V2) of the sphere will be:
V2 = 4/3 x π x (1/7r)^3
V2 = 4/3 x π x 1/343r^3
V2 = (4πr^3)/1029
Now we determine the ratio of V2 : V1 as shown below:
V2/V1 = (4πr^3)/1029 ÷ (4πr^3)/3
V2/V1 = (4πr^3)/1029 × 3/(4πr^3)
V2/V1 = 3/1029
V2/V1 = 1/343
V2 = 1/343 x V1
Therefore, the volume of the sphere is multiplied by 1/343.
A) Find the difference between3y minutes and 25y second,giving your answer in second.
B) find the sum of 50(3z- 2) minutes and4(z+1) hour,giving your answer in second.
Pls tell answers of both question
Answer:
a. 3 mintes = 180 seconds
Answer:
155ysec ; 23400z+ 8400 secs
Step-by-step explanation:
3y mins = 3* 60=180y sec
3y mins - 25y sec= 180y sec - 25y= 155y sec
155ysec
From B
50(3z-2)min = 50 * 60 (3z-2) sec
= 3000(3z-2)=9000z-6000
4 (z + 1) hours =4*3600(z+1) =14400z + 14400z
Adding both expression we have;
9000z+14400z-6000+14400=23400z+ 8400 secs
23400z+ 8400 secs
the hiking club plans to go camping In a state park where the probability of rain on any given day is 0.7. which expression can be used to find the probability that it will rain on exactly 3 of the seven days they are there
Answer:
[tex]P(X = 3) = C_{7,3}.(0.7)^{3}.(0.3)^{4} = 0.0972[/tex]
Step-by-step explanation:
For each day there are only two possible outcomes. Either it rains, or it does not. The probability of rain on a day is independent of any other day. 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.
In a state park where the probability of rain on any given day is 0.7.
This means that [tex]p = 0.7[/tex]
Which expression can be used to find the probability that it will rain on exactly 3 of the seven days they are there
We have to find [tex]P(X = 3)[/tex] when [tex]n = 7[/tex]
So
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 3) = C_{7,3}.(0.7)^{3}.(0.3)^{4} = 0.0972[/tex]
A bag contains 5 blue balls, 4 red balls, and 3 orange balls. If a ball is picked from the bag at random, what is the probability that it is a blue ball?
Answers have been rounded to the tenths place.
A
0.5
B.
0.4
O C.
0.3
OD. 0.2
Answer:
[tex] p =\frac{Possible}{Total}[/tex]
Where possible represent the possible cases on this case 5 since we have 5 balls and the total is the size of the sample space on this case 12. And replacing we got:
[tex] p =\frac{5}{12}= 0.417[/tex]
And rounded to the tenths place we got:
[tex] p=0.4[/tex]
And the best answer is:
B. 0.4
Step-by-step explanation:
For this case the size of the sampel space is 5+4+3= 12 representing the total of balls used.
We select a random ball from the total and we want to find the probability of selecting a blue ball. And for this case the can use the empirical definition of probability from Laplace given by:
[tex] p =\frac{Possible}{Total}[/tex]
Where possible represent the possible cases on this case 5 since we have 5 balls and the total is the size of the sample space on this case 12. And replacing we got:
[tex] p =\frac{5}{12}= 0.417[/tex]
And rounded to the tenths place we got:
[tex] p=0.4[/tex]
And the best answer is:
B. 0.4
If Tim draws two cards at random from a standard deck of cards without replacement, which expression represents the probability that Tim draws two aces?
1. 4/52 * 4/52
2. 4/52 * 4/51
3. 4/52 * 3/51
4. 4/52 * 3/52
Answer: B) 4/52 * 3/51
Step-by-step explanation:
the probability of drawing the first ace is 4/52 bc there are 4 aces and 52 cards. the probability of drawing the second ace is 3/51 bc there are now three aces ( bc we removed one in the first step) and there are now 51 cards (bc we removed a card in the first step and there is no replacement). combine the probabilities with multiplication because it’s a multistage event
Please help ASAP!! Will get brainliest
Answer:
x=7
Step-by-step explanation:
Answer:
7
Step-by-step explanation:
12 bars --- 2 boxes
42 bars --- x boxes
x = 42*2/12 = 7
given a soda can with a volume of 15 and a diameter of 2 what is the volume of a cone that fits perfectly inside the can
Answer:
[tex]5cm^{3}[/tex]
Step-by-step explanation:
This problem bothers on the mensuration of solid shapes, cone an cylinder.from the formula of cylinder and cone we can see that the volume of a cone is 3 times smaller than that of a cylinder
[tex]volume=\pi r^{2} h[/tex]....................cylinder
[tex]volume= \frac{1}{3} \pi r^{2}h[/tex].................cone
assuming all units in (cm)
Given data.
Volume of cylinder = [tex]15cm^{3}[/tex]
Diameter d= [tex]2cm[/tex]
Radius r = [tex]\frac{d}{2}[/tex][tex]= \frac{2}{2} = 1cm[/tex]
Height h= ??
we know that the expression for the volume of a cylinder is
[tex]volume=\pi r^{2} h[/tex]
we can substitute our given data to find the height h
[tex]15= 3.142*1^{2}*h\\15= 3.142h[/tex]
divide both side by 3.142 we have
[tex]h= \frac{15}{3.142}\\ h= 4.77cm[/tex]
We can now use this height[tex]4.77cm[/tex] and radius [tex]1cm[/tex] to find the equivalent volume of a cone.
the expression for the volume of a cone is
[tex]volume= \frac{1}{3} \pi r^{2}h[/tex]
substituting our data into the expression we have
[tex]volume= \frac{3.142*1^{2*} 4.77}{3} \\volume= \frac{15}{3} \\voulume = 5cm^{3} \\[/tex]
The expression is equivalent to? Please?
Answer: The expression 2√2 + √50 is equivalent to 7√2.
Step-by-step explanation: When 2√2 + √50 is added together, the result if 7√2.
Indicate the general rule for this sequence. Find a1 and the common difference. a4 = 18 a7 = 9
Answer:
[tex]a_{n} = 27 - 3(n-1)[/tex]
Step-by-step explanation:
Arithmetic sequences concepts:
The general rule of an arithmetic sequence is the following:[tex]a_{n+1} = a_{n} + d[/tex]
In which d is the common diference between each term.
We can expand the general equation to find the nth term from the first, by the following equation:
[tex]a_{n} = a_{1} + (n-1)*d[/tex]
And also:
[tex]a_{n} = a_{m} + (n-m)*d[/tex]
In this question:
[tex]a_{4} = 18, a_{7} = 9[/tex]
Finding the common ratio:
[tex]a_{n} = a_{m} + (n-m)*d[/tex]
[tex]a_{7} = a_{4} + (7-4)*d[/tex]
[tex]9 = 18 + 3d[/tex]
[tex]3d = -9[/tex]
[tex]d = \frac{-9}{3}[/tex]
[tex]d = -3[/tex]
Finding the first term:
[tex]a_{4} = a_{1} + (4-1)*d[/tex]
[tex]18 = a_{1} + 3*(-3)[/tex]
[tex]a_{1} = 27[/tex]
General rule:
[tex]a_{n} = a_{1} + (n-1)*d[/tex]
[tex]a_{n} = 27 - 3(n-1)[/tex]
What is the approximate area of a circle with a radius of 11 m?
O A. 190 m2
O B. 69 m2
O C. 34.5 m2
O D. 380 m2
Hello!
Answer:[tex]\boxed{ \bf The~approximate~area~of~the~circle~is~D.~380~m^2}[/tex]
___________________________________________
Explanation:We must use a certain formula to find the area of a circle.
A = πr²
Let's plug in the radius.
A = π × 11²
A = π × 121
A = 380
Find the midpoint of the line segment with end coordinates of: ( 0 , 2 ) and ( 8 , 8 )
Answer:
(4,5)
Step-by-step explanation:
To find the x coordinates of the midpoint, add the x coordinates together and divide by 2
(x1+x2)/2 = (0+8)/2 = 8/2 = 4
To find the y coordinates of the midpoint, add the y coordinates together and divide by 2
(y1+y2)/2 = (2+8)/2 = 10/2 = 5
The midpoint is (4,5)
Answer:
(4,5)
Step-by-step explanation:
Midpoint: (0+8)/2, (2+8)/2
8/2, 10/2
4,5
A game consists of randomly choosing a bag (labelled 1, 2 or 3) out of a choice
of 100, and then again randomly, picking a ball (red or black) from it.
Each bag has the same total number of balls (10).
Bag options
Ball options
a) Complete the tree diagram.
0.6 Red
b) Work out the probability that a player
will select a red ball.
0.4 Black
0.35
0.44
0.2
Red
0.45
2
0.8
Black
c) The same player is going to play the
game 200 times consecutively.
How many black balls should he
expect to pick?
0.2
0.7
Red
3
I
+
0.3
Black
Which decimal is equivalent to 2680?
Answer:
0.5361
Step-by-step explanation:
Hope this helps :)
Answer:
0.325
Step-by-step explanation:
Divide 26 by 80
Choose the best option.
1.(101), in base 10 is equal to:
a)10
b)1
c)2
d)5
Answer:5
Step-by-step explanation:(1×2^2)+(0×2^1)+(1×2^0)=
1×4+0×2+1×1=
4+1=
5
What is the solution to the equation 4x - 6 =
10x - 3?
а
x = 1/2
b
x = -2
C
x = 2
d
x = -1/2
Answer:
d
Step-by-step explanation:
did da math
Two men start at the same place walk rate of 5 km / hr and 5.6 km / hr respectively. What time will they take to be 3 km apart, the same direction as they walk?
A ) 3hrs B ) 4hrs C ) 5hrs D ) 6hrs
Answer:
5 hours
Step-by-step explanation:
5.6 all you have to use is .6 times 5hours to make 3kmapart
a. Find the first four nonzero terms of the Maclaurin series for the given function. b. Write the power series using summation notation. c. Determine the interval of convergence of the series. f(x)equals(4plusxsquared)Superscript negative 1 a. The first nonzero term of the Maclaurin series is nothing. The second nonzero term of the Maclaurin series is nothing. The third nonzero term of the Maclaurin series is nothing. The fourth nonzero term of the Maclaurin series is nothing. b. Write the power series using summation notation. Choose the correct answer below. A. Summation from k equals 0 to infinity minus StartFraction 1 Over 4 Superscript k plus 1 EndFraction x Superscript 2 k B. Summation from k equals 0 to infinity StartFraction 1 Over 4 Superscript k plus 1 EndFraction x Superscript k C. Summation from k equals 0 to infinity StartFraction (negative 1 )Superscript k Over 4 Superscript k EndFraction x Superscript k D. Summation from k equals 0 to infinity StartFraction (negative 1 )Superscript k Over (4 )Superscript k plus 1 EndFraction x Superscript 2 k
Answer:
Check the explanation
Step-by-step explanation:
Kindly check the attached image below to see the step by step explanation to the question above.
The dimensions of a rectangle are x+4 and 3x-1. Write an expression to represent the area of the rectangle.
Step-by-step explanation:
Step 1: Multiply them together to get the area
[tex]A = L * W[/tex]
[tex]A = (x + 4)(3x - 1)[/tex]
[tex]A = (x * 3x) + (x * -1) + (4 * 3x) + (4 * -1)[/tex]
[tex]A = 3x^2 - x + 12x - 4[/tex]
[tex]A = 3x^2 + 11x - 4[/tex]
Answer: [tex]A = 3x^2 + 11x - 4[/tex]
Answer:
3x² + 11x - 4
Step-by-step explanation:
Area = length × width
= (x+4)(3x-1)
= 3x² + 12x - x - 4
= 3x² + 11x - 4
A company wants to decrease their energy use by 10%. If their electric bill is currently $1,500 a month, what will their bill be if they are successful? Give your answer accurate to at least the nearest dollar.
Answer:
$1350
Step-by-step explanation:
Apparently, we're to assume that the bill is proportional to the energy usage. Then reducing energy by 10% would reduce the bill by 10%.
10% of the bill is 0.1 × $1500 = $150.
If the bill is reduced by $150, it becomes ...
$1500 -150 = $1350
If they are successful, their bill will be $1350.
_____
In general, utility bills have a number of fixed charges or fees that are not proportional to the quantity of utility used. Too, they can have graduated rates that make them non-proportional.
Figuring 90% of some arbitrary number might be an interesting math exercise, but it has no relation to the world of utility billing for a 10% change in usage.
Seth has a triangle that measures 20 inches by 20 inches
by 35 inches. What type of triangle does he have?
Answer:
Isosceles
Step-by-step explanation:
An isosceles triangle is a triangle in which the length of at least two sides are same.
The triangle which Seth has two sides of same length that is 20 inches.
Third side is different.
Hence. the triangle which Seth has is isosceles.
the fire hydrant sits 72 feet from the base of a 125-foot buiding. Find the ANGLE OF ELEVATION from the fire hydrant to the top of the building. *
Answer:
60°
Step-by-step explanation:
The mnemonic SOH CAH TOA reminds you of the relationship between angles and sides in a right triangle. Here, we're given the side Adjacent and the side Opposite the angle of interest. This makes it appropriate to choose the relation ...
Tan = Opposite/Adjacent
For our angle of elevation α, this means ...
tan(α) = 125/72
α = arctan(125/72) = 60.058°
α ≈ 60°
The angle of elevation is about 60°.
What is the correct order to represent 92,232
1/3x + 3/10x = -17 + 17
Answer:
x = 0
Step-by-step explanation:
[tex]\frac{1}{3} x+\frac{3}{10}x=0[/tex]
x = 0