Find the slope of the line through the points (3,2) and (4,5).

Answer:

6

Step-by-step explanation:

Answer:

(x+2)+(x-6)=16

Step-by-step explanation:

the center of the circle is (h, k)

In this case it's (-2,6)

the radius is 4 which is known as r

the formula is: (x-h) + (x-k)= r^2

then you just plug it in

Answer:

Sophia is not correct

Step-by-step explanation:

The given situation represent the problem of a ratio and it is predicted to do the simplify the ratio by determining the smallest possible values

Here it can be presented 60:36 as a fraction i.e. [tex]\frac{60}{36}[/tex]

Now the fraction should be fall by dividing both the numerator and denominator by a common factor i.e. 6

Now after dividing it, the fraction would be [tex]\frac{10}{6}[/tex]

Now it can be further reduced by a common factor i.e. 2

So now the fraction is [tex]\frac{5}{2}[/tex]

Thus, the ratio is 5:2

Hence, she is not correct

Answer:

put one point at (0,3)

put another point at (1,-3)

draw a line between them

Step-by-step explanation:

could u vote me brainliest plz? thx :)

The standard formula for calculating the equation of a line is expressed as

y = mx + b

m is the slope of the line

b is the y-intercept of the line

Given the equation to graph expressed as g(x) = 3 - 6x

First, we need to get the x and y-intercept of the line expressed as:

For the x-intercept, y = 0

0 = 3 - 6x

6x = 3

x = 0.5

The x-intercept is at (0.5, 0)

For the y-intercept, x = 0

y = 3 - 6(0)

y = 3

The y-intercept is at (0, 3)

Plot the graph of a line passing through the coordinate points (0.5, 0) and (0, 3) as shown below;

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Answer:

the answer would be 3.73

Step-by-step explanation:

all you gotta do is subtract 39.51 and 35.78 and you get your answer

Answer:

The value of P(B) for independent events = 0.429

Step-by-step explanation:

Given;

P(A) = 0.7

P(A ∩ B) = 0.3

A and B will be independent if  event A will occur and B will also occur, ie A and B will occur independently.

P(A) and P(B) =  P(A ∩ B)  

[tex]P(B) = \frac{ P(A\ n\ B) }{P(A)}\\\\ P(B) = \frac{0.3}{0.7}\\\\P(B) = 0.429[/tex]

Therefore, the value of P(B) for independent events = 0.429

Answer:

72

Step-by-step explanation:

do 24/2=12x6=72

Answer:

Step-by-step explanation: scale factor is 1/10 the length of a is 1 the length of b is 8.5

The scale factor is 1/10, the length of A is 1 cm and the length of B is 8.5 cm.

A scale factor is defined as the ratio between the scale of a given original object and a new object, which is its representation but of a different size (bigger or smaller).

The basic formula to find the scale factor of a figure is expressed as,

Scale factor = Dimensions of the new shape ÷ Dimensions of the original shape.

From the given figure,

Scale factor = 6.2/62

= 1/10

The length of A = 1/10 ×10 cm

= 1 cm

The length of B = 1/10 ×85 cm

= 8.5 cm

Therefore, the scale factor is 1/10, the length of A is 1 cm and the length of B is 8.5 cm.

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Answer:

The value is [tex]P(X = 3) = 0.1798[/tex]

Step-by-step explanation:

From the question we are told  that

    The rate is  [tex]\lambda = 8.6 \ hr ^{-1}[/tex]

General probability distribution for Poisson distribution is mathematically represented

                [tex]P(X = x) = \frac{(\lambda * t)^{x} }{x!} * e^{-\lambda * t}[/tex]

Given that is in per hour then the unit of t is in hours

Generally  30 minutes   = [tex]0.5 \ hours[/tex]

Generally the probability that 3 customers arrive in the first 30 minutes is mathematically represented

        [tex]P(X = 3) = \frac{( 8.6 * 0.5 )^{3} }{3!} * e^{-8.6 * 0.5 }[/tex]

=>      [tex]P(X = 3) = 0.1798[/tex]

Answer:

a) b. 9

b) c. 4

c) d. 4

Step-by-step explanation:

You are planning to evaluate the mean of a single continuous variable from a study with a sample of n =10 using the t statistic. What are the degrees of freedom for the sample?a. 11 b. 9 c. 10 d. 8

The formula for degree of freedom

= n - 1

n = 10

Degrees of freedom for the sample = 10 - 1

= 9

Option b is correct.

b) With another study, where you also plan on evaluating a mean using the t statistic, you have sample of n =31 that has as SS of 120.

What is the variance for the sample?a. 10.95 b. 14,400 c. 4 d. 2.00

The formula for Variance of a samples = SS(Sum of squares) /n - 1

n = 31

Variance of samples = 120/31 - 1

= 120/30

= 4

Option c is correct

c) For a sample of n =25 that has a sample variance of 400, what is the estimated standard error for the sample?a. 16 b. 17 c. 4.08 d. 4

The formula for standard error =

Standard deviation/√n

We are given Sample variance.

Standard deviation = √400

= 20

Hence, Standard Error = 20/√25

= 20/5

= 4

Option d is correct.

a) The degrees of freedom for the sample is option b. 9.

b) The variance is option c. 4.

c) The standard error is option d. 4.

a.

The formula for degree of freedom

= n - 1

n = 10

Now

Degrees of freedom for the sample should be

= 10 - 1

= 9

b) The variance should be

Since

n = 31

So,

Variance of samples = 120/31 - 1

= 120/30

= 4

c.

The formula for standard error is

= Standard deviation/√n

Here,

Standard deviation = √400

= 20

so, Standard Error = 20/√25

= 20/5

= 4

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Answer:

Step-by-step explanation:

let the total cost be y

and let the number of weeks be x

Daily Info charges

y=650+80x---------1

People's Paper charges

y=145x---------------2

equating 1 and 2 to solve for x we have

650+80x=145x

650=145x-80x

650=65x

x=650/65

x=10

Therefore the answer is 10 weeks

Yes and opposite and an absolute value of an integer will be the same.

Answer:

Using z score formula:

X = z ∂ + µ

 = 157.833

Step-by-step explanation:

Solution:

Mean = µ = 1262

Standard deviation = ∂ = 117

(a) 28th percentile for the number of chocolate chip.

P( z < z) = 28%

             = 0.28

P( z<- 0.58)  = 0.28

Z = -0.58

By using z score formula:

Z = x - µ /∂

-0.58= x – 117 / 1262

X = (- 0.58)(117) + (1262)

 =  1194.14

(b) Middle 97% of bag.

P(-z < z < z) = 97%

                    = 0.97

P( z < z) – p(z < -z) = 0.97

2p(z < z) -1 = 0.97

2p (z < z) = 1 + 0.97

P(z < z) = 1.97 / 2

            = 0.99

P(z < 2.33) = 0.99

Z ± 2.33

By using z score formula:

Z = x - µ / ∂

X = z ∂ + µ

  = - 2.33 x 117 + 1262

  =989.39

Z = 2.33

X = z ∂ + µ

  =  2.33 x 117 + 1262

 =1533.61

(c) What is the interquartile range of the number of chocolate chips in a bag of chocolate.

By using standard normal table,

The z dist’n formula:

P(z < z ) = 25%

            =0.25

P(z < -0.6745) = 0.25

Z = 0.6745

Using z score formula:

X = z∂ + µ

   = - 0.6745 x 117 + 1262

  = 1183.0835

First quartile = Q1 =1183.0835

The third quartile is:

P(z<z) = 75%

    = 0.75

P(z < 0.6745) = 0.75

Z = 0.6745

Using z score formula:

X = z ∂ + µ

  = 0.6745 x 117 + 1262

= 1340.9165

IQR = Q3 – Q1

     = 1340.9165 – 1183.0835

  = 157.833

Answer:

450

Step-by-step explanation:

First we have to find the discount

20% of 1500 = 300

if you search up 20 x 1500/100, it would say 300

you can do that same equation in your maths book, and also by canceling out

10% vat tax

so 10% of 1500 = 150

since it is tax, we have to add it to our discount

300 + 150 = 450

450 is the answer

Answer:

[tex]P(X\geq 2) = 0.375[/tex]

Step-by-step explanation:

Given

X   ------0 --------1 -------- 2--------- 3

P(X) --.1875 -.4375 ---.3125 --- .0625

Required

Determine [tex]P(X\geq 2)[/tex]

This is calculated as:

[tex]P(X\geq 2) = P(X = 2) + P(X = 3)[/tex]

[tex]P(X\geq 2) = 0.3125 + 0.0625[/tex]

[tex]P(X\geq 2) = 0.375[/tex]

Answer:

The percentage is 68.26%

Step-by-step explanation:

Before we use the empirical rule , we need to find the value of the z-score

Mathematically;

z-score = (x - mean)/SD

Thus;

z-score = (7.85 - 7.45)/0.4 = 0.4/0.4 = 1

So the percentage we want to calculate now is the percentage of values within 1 standard deviation of the mean

According to the empirical rule, 68.26% of values are within 1 standard deviation of the mean

Answer: y=3

Step-by-step explanation:

Since the quadrilateral has 90 degree angles, it must be a a square or a rectangle. This means the measure of sides left and right are the same and the measure of sides top and bottom are the same.

To get the measure of y, you can use left and right or top nd bottom.

I'll use left and right. 10=2y+4 => 10-4=2y => 6=2y => y=3

You can check it by substituting. 2(3)+4=10      The answer is the measure of the right side, which is the same as the measure of the left side.

I hope this helps you!

Answer:

3

Step-by-step explanation:

Answer:

It would be -16/13x^11y^18.

The standard form of the expression as a monomial  [tex]&\left(-3 x y^2\right)^3\left(\frac{-2}{3 x^2 y^3}\right)^4 \\[/tex]is

-16 /3[tex]$ x^5y^6[/tex]

Given,

[tex]&\left(-3 x y^2\right)^3\left(\frac{-2}{3 x^2 y^3}\right)^4 \\[/tex]

Simplify

[tex]\left(-3 x y^2\right)^3:-27 x^3 y^6 \\[/tex]

[tex]&=-27 x^3 y^6\left(\frac{-2}{3 x^2 y^3}\right)^4 \\[/tex]

Simplify

[tex]\left(\frac{-2}{3 x^2 y^3}\right)^4: \frac{16}{81 x^8 y^{12}} \\[/tex]

[tex]&=-27 x^3 y^6 \frac{16}{81 x^8 y^{12}}[/tex]

Apply the fraction rule:

[tex]$\quad a \cdot \frac{b}{c}=\frac{a \cdot b}{c}$[/tex]

∴  [tex]=-\frac{27 x^3 y^6 \cdot 16}{81 x^8 y^{12}}[/tex]

Factor the number:  81 = 27.3

[tex]=-\frac{27 x^3 y^6 \cdot 16}{27 \cdot 3 x^8 y^{12}}[/tex]

Cancel the common factor: 27

[tex]=-\frac{x^3 y^6 \cdot 16}{3 x^8 y^{12}}$$[/tex]

Simplify

[tex]$\frac{x^3}{x^8}: \frac{1}{x^5}$[/tex]

∴ [tex]=-\frac{y^6 \cdot 16}{3 x^5 y^{12}}[/tex]

Simplify the equation,

[tex]$\frac{y^6}{y^{12}}: \frac{1}{y^6}$[/tex]

then we get,

[tex]=-\frac{16}{3 x^5 y^6}[/tex]

Hence, The standard form of the expression as a monomial  [tex]&\left(-3 x y^2\right)^3\left(\frac{-2}{3 x^2 y^3}\right)^4 \\[/tex]is   -16 /3[tex]$ x^5y^6[/tex]

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Answer: it would be half the size

Step-by-step explanation:

Answer:

It is 0

Step-by-step explanation:

Answer:

1-1 is 0 if it was 1-2 it would be -1

Step-by-step explanation:

Answer:

8/13

Step-by-step explanation:

In a standard deck there are 52 cards. Let A denote the event of drawing a black card and B denote the event of drawing face card. We have to find P(A or B) or P(A∪B).

P(A∪B)=P(A)+P(B)-P(A∩B)

There are 26 black cards in a standard deck so,

P(A)=26/52.

There are 12 face cards in a standard deck so,

P(B)=12/52.

There are 6 cards that are black face cards.

P(A∩B)=6/52.

P(A∪B)=P(A)+P(B)-P(A∩B)

P(A∪B)=26/52+12/52-6/52

P(A∪B)=38/52-6/52

P(A∪B)=32/52

P(A∪B)=8/13

Thus, probability of drawing a black card or a face card is 8/13.

Answer:

99.7%

Step-by-step explanation:

Empirical rule formula states that:

• 68% of data falls within 1 standard deviation from the mean - that means between μ - σ and μ + σ.

• 95% of data falls within 2 standard deviations from the mean - between μ – 2σ and μ + 2σ.

• 99.7% of data falls within 3 standard deviations from the mean - between μ - 3σ and μ + 3σ.

From the question, we have mean of 98.18 F and a standard deviation of 0.65 F

The approximate percentage of healthy adults with body temperatures between 96.23 F and100.13 ​F is

μ - 3σ

= 98.18 - 3(0.65)

= 98.18 - 1.95

= 96.23 F

μ + 3σ.

98.18 + 3(0.65)

= 98.18 + 1.95

= 100.13 F

Therefore, the approximate percentage of healthy adults with body temperatures between 96.23 F and 100.13 ​F which is within 3 standard deviations of the mean is 99.7%

Answer:

7.19

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

the number line says less than 4 so if you solce for all the equations c will be x<4

Answer:

i think its B

Step-by-step explanation:

Answer:

x = 25 degrees

Step-by-step explanation:

All angles in a triangle should add up to 180 degrees. So to solve for x, set up an equation where all three angles added up equals 180.

180 = 99 + 56 + x

180 = 155 + x

25 = x

The unknown angle is equal to 25 degrees.

Answer: 0.2254

Step-by-step explanation:

Let E= Event of getting of female lives in a dorm.

F = Event of getting of female lives in a 'Other'.

From the table , n(E) = 276  and n(F) = 99

and n(E∩F) = 0  [E and F are Mutually exclusive]

Now, n(E∪F)=  n(E) + n(F) - n(E∩F)

= 276+99-0

= 375

also, n(S) =1664       (Sample size)

Required probability : [tex]P(E\cup F)=\dfrac{n(E\cup F)}{n(S)}[/tex]

[tex]=\dfrac{375}{1664}\approx0.2254[/tex]

Hence, the  probability that a customer is female and lives in a dorm or is female and lives in 'Other' = 0.2254