Find the equation of the line. Write the equation of the line in standard form.
Vertical line; through (-4,-8).

Answer:

Each of the 3 digits can be from 0 to 9, so each of the digits can have 10 values.

10 * 10 * 10 = 1,000

However, if repetition is NOT allowed, then the first digit can be ANY digit (10 possibilities).  The second digit can be ANY digit except what the first digit is (9 possibilities).  The third digit can be ANY digit except what the first digit is or what the second digit is (8 possibilities).

Total area codes = 10 * 9 * 8 = 720

Answer is b

Step-by-step explanation:

Step-by-step explanation:

Putting value of x

2 (4)3 - 2(4)2 + 2(4) - 4

2 (64) - 2(16) + 8 - 4

128 - 32 + 8 - 4

= 100

Answer:

i dunno try this sorry if its wrong.  Answer i got is 16.

Step-by-step explanation:

since the x = 4 and we need to calculate the value of other numbers. my answer would be this,  

2 x 2 x 2 = 6,   2 x 2 = 4     add both values up to get 10, then do 10 x 2 which is 20, - 4 since x is 4.

Also i did this the way you would write it in exponent form.

Answer:

50 centimetres

Step-by-step explanation:

Answer:

12/7

Step-by-step explanation:

When given two points, we can find the slope by using

m = (y2-y1)/(x2-x1)

   = (4 - -8)/ (0 - -7)

    = (4+8) / (0+7)

   = 12/7

Answer:

The answer is 12/7

Step-by-step explanation:

I got this answer from Khan Academy.

Hope this helps! :)

Answer:

1

Step-by-step explanation:

(195 - 85)/2 = 54x+1 -->

110/2 = 54x + 1 -->

55 = 54x + 1 -->

54 = 54x -->

1 = x

Given Information:

Mean clear height = μ = 22 feet

Standard deviation of clear height = σ = 4 feet

Required Information:

a) P(X > 16) = ?

b) P(X < 14) = ?

c) P(25 < X < 30) = ?

Answer:

a) P(X > 16) = 93.12%

b) P(X < 14) = 2.27%

c) P(25 < X < 30) = 20.39%

Step-by-step explanation:

What is Normal Distribution?

We are given a Normal Distribution, which is a continuous probability distribution and is symmetrical around the mean. The shape of this distribution is like a bell curve and most of the data is clustered around the mean. The area under this bell shaped curve represents the probability.  

a) We want to find out the probability that the clear height is greater than 16 feet.

[tex]P(X > 16) = 1 - P(X < 16)\\\\P(X > 16) = 1 - P(Z < \frac{x - \mu}{\sigma} )\\\\P(X > 16) = 1 - P(Z < \frac{16 - 22}{4} )\\\\P(X > 16) = 1 - P(Z < \frac{-6}{4} )\\\\P(X > 16) = 1 - P(Z < -1.5)\\\\[/tex]

The z-score corresponding to -1.5 is 0.0668

[tex]P(X > 16) = 1 - 0.0668\\\\P(X > 16) = 0.9312\\\\P(X > 16) = 93.12 \%[/tex]

Therefore, the probability that the clear height is greater than 16 feet is 93.12%

b) We want to find out the probability that the clear height is less than 14 feet

[tex]P(X < 14) = P(Z < \frac{x - \mu}{\sigma} )\\\\P(X < 14) = P(Z < \frac{14 - 22}{4} )\\\\P(X < 14) = P(Z < \frac{-8}{4} )\\\\P(X < 14) = P(Z < -2)\\\\[/tex]

The z-score corresponding to -2 is 0.02275

[tex]P(X < 14) = 0.02275\\\\P(X < 14) = 2.27 \%[/tex]

Therefore, the probability that the clear height is less than 14 feet is 2.27%

c) We want to find out the probability that the clear height is between 25 and 30 feet.  

[tex]P(25 < X < 30) = P( \frac{x - \mu}{\sigma} < Z < \frac{x - \mu}{\sigma} )\\\\P(25 < X < 30) = P( \frac{25 - 22}{4} < Z < \frac{30 - 22}{4} )\\\\P(25 < X < 30) = P( \frac{3}{4} < Z < \frac{8}{4} )\\\\P(25 < X < 30) = P( 0.75 < Z < 2 )\\\\[/tex]

The z-score corresponding to 0.75 is 0.7734 and 2 is 0.9773

[tex]P(25 < X < 30) = P( Z < 2 ) - P( Z < 0.75 ) \\\\P(25 < X < 30) = 0.9773 - 0.7734 \\\\P(25 < X < 30) = 0.2039\\\\P(25 < X < 30) = 20.39 \%[/tex]

Therefore, the probability that a child spends more than 4 hours and less than 8 hours per day unsupervised is 20.39%

How to use z-table?

Step 1:

In the z-table, find the two-digit number on the left side corresponding to your z-score. (e.g 1.5, 2.2, 0.5 etc.)

Step 2:

Then look up at the top of z-table to find the remaining decimal point in the range of 0.00 to 0.09. (e.g. if you are looking for 1.50 then go for 0.00 column)

Step 3:

Finally, find the corresponding probability from the z-table at the intersection of step 1 and step 2.

Answer:

40 people

Step-by-step explanation:

1/3 + 2/5=11/15

15/15-11/15=4/15

15/15 x 150 x 4/15=40

Answera and Step-by-step explanation: Correlation Coefficient is the measure of how strong two variables are. There are numerous types of correlation coefficients and the product moment correlation coefficient, also known as Pearson's correlation or Pearson's R is most commonly used in linear regression. The formula to calculate it is:

r = n(∑xy) - (∑x)(∑y) / √[∑x² - (∑x)²].[n∑y² - (∑y)²]

To find the value of R:

1) Separate the values of X and Y and out them in 2 columns.

2) Add 3 more columns: for xy, x² and y²;

3) Find the values of each column;

4) Add each column;

5) Put the sum of each column in its place on the formula above;

6) Find the correlation.

i) For this question, r = 0.9645. As it's positive, means that the two variables are directly linked, i.e., an increase in one variable will produce an increase in the other variable in the same proportion.

ii) The Senator should distribute Norvasc to the old adults groups, because, as the population grows, the death associated with high blood pressure will also grow, as explained by the correlation coefficient.

Hey there! I'm happy to help!

If Mary's friend at 3/4 of blackberries, we will simply multiply the total number of blackberries by 3/4 to find how many blackberries Mary ate.

3/4×1 3/4= 1 5/16

Therefore, Mary's friend at 1 5/16 pounds of blackberries.

I hope that this helps! Have a wonderful day!

The given value of the first quartile is related to the value cumulative

frequency up to the class of the first quartile.

Reasons:

The first quartile is one of the five number summary.

The number of terms, N = 2 + x + 8 + 5 + 1 =16 + x

[tex]\displaystyle Q_1 = \frac{N+1}{4} \ th \ value = \mathbf{\frac{17 + x}{4} \ th \ value}[/tex]

We have;

[tex]\displaystyle Q_1 = \mathbf{ L + \frac{ \left (\frac{N + 1}{4} - pcf \right) }{f} \times C}[/tex]

Where;

The first quartile, Q₁ = 35

L = 20 in the first quartile class

PCF = The cumulative frequency of the first quartile class = 2 + x

f = The frequency of the quartile class = x

C = The class size = 10

Therefore;

[tex]\displaystyle Q_1 = 35 = \mathbf{ 20 + \frac{ \left (\frac{17 + x}{4} - (2 + x) \right) }{x} \times 10}[/tex]

Which gives;

[tex]\displaystyle 35 = \mathbf{\frac{25 \cdot x + 45}{2 \cdot x}}[/tex]

Therefore;

70·x = 25·x + 45

45·x = 45

x = 45 ÷ 45 = 1

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Answer:

[tex]2\frac{3}{11} \\=2.2727272727[/tex]

Step-by-step explanation:

Answer:

Trend wants to buy a new bicycle which costs 320$.

He has 35$ saved and earns 15$ each week.

After a number of weeks (a), the amount money he has: A = 35 + 15 x a

If Trend has enough money to buy that bicycle, we have the equation:

35 + 15 x a = 320

=> 15 x a = 320 - 35

=> 15 x a = 285

[tex]a = \frac{285}{15} = 19[/tex]

=> After 19 weeks, Trent will have had enough money to buy that bicycle

Hope this helps!

:)

Answer:

1 1/2 or 1 4/8 gallons

Step-by-step explanation:

If 3/8 gallons of paint covers 1/4 of a wall, then the math is explained below:

3/8 times 4/1 equals 12/8 to 1 4/8 to 1 1/2. We multiply by 4 since 3/8 covers 1/4 of the wall.

Hope this helps!!! PLZ MARK BRAINLIEST!!!

Answer:0.06

Step-by-step explanation: just pretty obvious

Answer:

I believe 0.6 is greater

Step-by-step explanation:

Answer:

Total profit = $106

Profit made from hats = $34

Therefore to find the number of t-shirts sold

Total profit - Profit from hats = Profit from shirts

$106 - $34 = $72

And the made $4 from selling one shirt so to find the number of t-shirts sold,

*Profit of t-shirts - Profit made from one t-shirt = number of t-shirts

therefore, $72/$4= 18.

Therefore, Goran sold 18 t-shirts.

Answer:

3,2

Step-by-step explanation:

Answer:

B

15.01

6 percent of 14.16 is 0.85. Add 0.85 to 14.16 and you get 15.01

Answer:

it is a triangular prism .

Answer:

Triangular Prism

6 vertices

Step-by-step explanation:

Answer:

i know its a bit late but the answer below

Step-by-step explanation:

e/f

Answer:

D) 91

Step-by-step explanation:

For the normal approximation, we need that:

np > 5 and np(1-p) > 5

In this question:

[tex]p = 0.89[/tex]

So

A) 10

n = 10, then

10*0.89 = 8.9 > 5

10*0.89*0.11 = 0.979 < 5

Does not satisfy.

B) 11

n = 11, then

11*0.89 = 9.79

11*0.89*0.11 = 1.0769 < 5

Does not satisfy

C) 30

n = 30

30*0.89 = 26.7

30*0.89*0.11 = 2.937 < 5

D) 91

n = 91

90*0.89 = 80.1

90*0.89*0.11 = 8.881 > 5

So this satisfies, and 91 is the answer

Answer:

D) 91

Step-by-step explanation:

A higher sample size results in lower variability, therefore higher precision.

Answer:

Step-by-step explanation:

Well, he completed 12 questions, so he has 18 left.

To get the solution, we are looking for, we need to point out what we know:  

We assume, that the number 30 is 100% - because it's the output value of the task.  

We assume, that x is the value we are looking for.  

If 30 is 100%, so we can write it down as 30=100%.  

We know, that x is 40% of the output value, so we can write it down as x=40%.  

Now we have two equations:

1) 30=100%

2) x=40%

where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:

30/x=100%/40%

Now we just have to solve the equation.

30/x=100/40

(30/x)*x=(100/40)*x       - we multiply both sides of the equation by x

30=2.5*x       - we divide both sides of the equation by (2.5) to get x

30/2.5=x  

12=x  

x=12

now we have:  

40% of 30=12

Then, you need to subtract 12 from 30 to figure out what is left.

Answer:

D. A cat is a mammal.

Step-by-step explanation:

Reason being is because a cat isn't a dog, yet it's still a mammal.

Answer:

c a spider is not a mammal

Step-by-step explanation:

i mean not all dogs r mammals i mean common sense

Answer:

The second one I believe!

Answer:

A

Step-by-step explanation:

x² - 6x - 33 = 0

x² => a²

-6x => -2ab

Therefore, b=3

9 - .....  = -33

...... = 42

x² - 6x + 9 - 42 = 0

(x -3)² - 42 = 0

(x-3)² = 42

First option is answer

Hope this helps ^-^

Answer:

a) P(x = 0) = 64.69%

b) P(x ≥ 1) = 35.31%

c) E(x) = 0.42

d) var(x) = 0.3906

Step-by-step explanation:

The given problem can be solved using binomial distribution since:

The binomial distribution is given by

P(x) = ⁿCₓ pˣ (1 - p)ⁿ⁻ˣ

Where n is the number of trials, x is the variable of interest and p is the probability of success.

For the given scenario. the six daily arrivals are the number of trials

Number of trials = n = 6

The probability of success = 7% = 0.07

a) Find the probability that on one day no planes have an exceedence.

Here we have x = 0, n = 6 and p = 0.07

P(x = 0) = ⁶C₀(0.07⁰)(1 - 0.07)⁶⁻⁰

P(x = 0) = (1)(0.07⁰)(0.93)⁶

P(x = 0) = 0.6469

P(x = 0) = 64.69%

b) Find the probability that at least 1 plane exceeds the localizer.

The probability that at least 1 plane exceeds the localizer is given by

P(x ≥ 1) = 1 - P(x < 1)

But we know that P(x < 1) = P(x = 0) so,

P(x ≥ 1) = 1 - P(x = 0)

We have already calculated P(x = 0) in part (a)

P(x ≥ 1) = 1 - 0.6469

P(x ≥ 1) = 0.3531

P(x ≥ 1) = 35.31%

c) What is the expected number of planes to exceed the localizer on any given day?

The expected number of planes to exceed the localizer is given by

E(x) = n×p

Where n is the number of trials and p is the probability of success

E(x) = 6×0.07

E(x) = 0.42

Therefore, the expected number of planes to exceed the localizer on any given day is 0.42

d) What is the variance for the number of planes to exceed the localizer on any given day?

The variance for the number of planes to exceed the localizer is given by

var(x) = n×p×q

Where n is the number of trials and p is the probability of success and q is the probability of failure.

var(x) = 6×0.07×(1 - 0.07)

var(x) = 6×0.07×(0.93)

var(x) = 0.3906

Therefore, the variance for the number of planes to exceed the localizer on any given day is 0.3906.

Answer:

7

Step-by-step explanation:

The mean is the sum of all numbers divided by the total numbers been investigated

0+4+7+7+8+8+8+9+9+10 / 10 = 70/10 = 7

Answer:

The mean is 7

Step-by-step explanation:

mean=sum of the numbers/numbers mentioned

[tex]mean=\frac{0+4+7+7+8+8+8+9+9+10}{10}[/tex]

[tex]mean=\frac{70}{10}[/tex]

[tex]mean=7[/tex]

Answer:

The graph shows a distribution of data.

A graph shows the horizontal axis numbered 1 to x. The vertical axis is unnumbered. The graph shows an upward trend from 1 to 2 then a downward trend from 2 to 3.

What is the standard deviation of the data?

0.5 <<<------- CORRECT ANSWER

1.5

2.0

2.5

Step-by-step explanation:

EDGE 2021

The standard deviation of the data is,

σ = 0.5

An expression which is defined as the collection of the numbers,  variables and functions by using sign like addition, subtraction, multiplication, and division is called mathematical expression.

Now,

We have in the graph, there is bell-shaped along x =2.

Here, A bell-shaped graph along one value is called symmetric graph and it represents a normal distribution.

Since, The graph is symmetric around x = 2,

Hence, the mean of the data is 2.

And, The point immediate left to the mean represented by x - σ

Hence, We get;

2 - σ = 1.5

So,

σ = 0.5

Thus, The sigma represents standard deviation.

σ = 0.5

Hence, Option A is correct.

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Answer:

B

Step-by-step explanation:

Answer:$3684 should be invested in stock L

Step-by-step explanation:

Let x represent the amount that you should invest in stock K.

Let y represent the amount that you should invest in stock L.

You have $10,000 to invest in these two stocks. It means that

x + y = 10000

Stock K is expected to return 12.4 percent while the return on Stock L is expected to be 8.6 percent. It means that the returns from stock K would be 12.4/100 × x = 0.124x

And the returns from stock L would be 8.6/100 × y = 0.086y

if you desire a combined return from the two stocks of 11 percent, it means that the combined returns would be

11/100 × (x + y) = 0.11(x + y)

The equation would be

0.124x + 0.086y = 0.11(x + y)- - - - - - - -1

Substituting x = 10000 - y into equation 1, it becomes

0.124(10000 - y) + 0.086y = 0.11(10000 - y + y)

1240 - 0.124y + 0.086y = 1100

- 0.124y + 0.086y = 1100 - 1240

- 0.038y = - 140

y = - 140/- 0.038

y = 3684

Answer:

a.

x $         0 $         50         $ 100

p (x)    25/36      5/36        6/36

b. 23.61%

c. 23.61%

Step-by-step explanation:

We have that "x" is the amount of money earned:

we have to fail twice, the probability of failure is 5/6 and the probability of hitting is 1/6, therefore if you lose the probability would be:

5/6 * 5/6 = 25/36

the one to win 50 $, would be:

1/6 * 5/6 = 5/36

and the one to win $ 100 would be:

1/6 * = 6/36

that is to say:

a.

x $         0 $         50         $ 100

p (x)    25/36      5/36        6/36

b. the expected amount you'll win would be:

0 * 25/36 + 50 * 5/36 + 100 * 6/36 = 23.61

c. The normal thing is to pay at least the expected amount, that is, $ 23.61, since something greater than that would already be profit.

The expected value is the sum of the product of values and their respective probabilities. Hence ;

To win $100 :

To win $50 :

To win nothing :

The probability distribution table :

The expected value :

E(X) = (0 × 25/36) + (50 × 5/36) + (100 × 1/36)

E(X) = 0 + 9.7222

E(X) = 9.722

Therefore, the expected amount to be won is $9.722

Willing amount to be paid to play the game :

Any value below the expected value,

Therefore, the willing amount will be < 9.722

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Answer:

[tex] 60^2 = (2x^2) +x^2[/tex]

[tex] 3600 = 5x^2[/tex]

[tex] x = \sqrt{\frac{3600}{5}}= 12\sqrt{5}[/tex]

And we can find the perimeter as:

[tex] P= 2(2x) + 2x[/tex]

And replacing the value given for x we got:

[tex] P =2 (2* 12\sqrt{5}) + 2* (12\sqrt{5}) = 48 \sqrt{5} +24\sqrt{5} = 72 \sqrt{5} cm[/tex]

And for this case the perimeter would be approximately [tex]72 \sqrt{5} cm[/tex]

Step-by-step explanation:

For this case we can assume that the lenght is 2x the width x and the diagonal is 60 cm.

From the picture given we have a right tirngle and we can set the following equation:

[tex] 60^2 = (2x^2) +x^2[/tex]

[tex] 3600 = 5x^2[/tex]

And solving for x we got:

[tex] x = \sqrt{\frac{3600}{5}}= 12\sqrt{5}[/tex]

And we can find the perimeter as:

[tex] P= 2(2x) + 2x[/tex]

And replacing the value given for x we got:

[tex] P =2 (2* 12\sqrt{5}) + 2* (12\sqrt{5}) = 48 \sqrt{5} +24\sqrt{5} = 72 \sqrt{5} cm[/tex]

And for this case the perimeter would be approximately [tex]72 \sqrt{5} cm[/tex]