What is an equation in point-slope form of the line that passes through (−7, 1) and (−3, 9)?

A. y + 3 = 2(x − 9)
B. y − 3 = 2(x + 9)
C. y + 9 = 2(x − 3)
D. y − 9 = 2(x + 3)

Using the binomial distribution, there is a 0.1094 = 10.94% probability that exactly 20 adults received a flu vaccine.

For each adult, there are only two possible outcomes, either they received the vaccine or they did not. The probability of an adult receiving the vaccine is independent of any other adult, hence the binomial distribution is used to solve this question.

The formula is:

\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)

\(C_{n,x} = \frac{n!}{x!(n-x)!}\)

The parameters are:

For this problem, we have that:

The probability that exactly 20 adults received a flu vaccine is P(X = 20), hence:

\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)

\(P(X = 20) = C_{50,20}.(0.371)^{20}.(0.629)^{30} = 0.1094\)

0.1094 = 10.94% probability that exactly 20 adults received a flu vaccine.

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ANSWER:

The value of x is 12

STEP-BY-STEP EXPLANATION:

We have the following function according to the statement:

We first calculate the value of k, replacing (y = 10 and x = 3) and solving for k:

Since we have the value of k, we can plug in the value of k = 300 and of y = 5 to calculate the new value of x, just like this:

Answer:

x translated 7 units to left and y translated 8 units down

Step-by-step explanation:

9514 1404 393

Answer:

  translates the figure 7 units left and 8 units down

Step-by-step explanation:

You know that increases in x-coordinate move a point to the right. So, decreasing the x-coordinate by 7 units will move a point to the left by 7 units.

Likewise, increasing the y-coordinate will move a point up. So, decreasing the y-coordinate by 8 units moves the point down 8 units.

The transformation ...

  (x, y) ⇒ (x -7, y -8)

translates the figure 7 units left and 8 units down.

Answer:

.5

Step-by-step explanation:

2/4  2 goes into 2 1 time and 2 goes into 4 2 times so therefore 2/4 is = 1/2

1/2= .5

El número "Novecientos mil cuatrocientos ochenta y nueve" se representa como 900,489 en notación numérica.

Por otro lado, el número "cuarenta mil dos" se representa como 40,002.

Si estamos buscando determinar cuál de estos dos números es mayor, podemos comparar las cifras en cada posición.

Comenzando desde la izquierda, el primer dígito de 900,489 es 9, mientras que el primer dígito de 40,002 es 4.

Dado que 9 es mayor que 4, podemos concluir que 900,489 es mayor que 40,002.

En general, al comparar números, se debe observar cada posición en orden de mayor a menor importancia.

Esto significa que el primer dígito a la izquierda es el más significativo y tiene más peso en el valor total del número.

Si los dígitos en la posición más significativa son iguales, se debe pasar a la siguiente posición hasta que se encuentre una diferencia.

En este caso, dado que el primer dígito de 900,489 es mayor que el primer dígito de 40,002, no es necesario comparar los dígitos en posiciones posteriores.

Por lo tanto, podemos concluir que el número "Novecientos mil cuatrocientos ochenta y nueve" (900,489) es mayor que "cuarenta mil dos" (40,002).

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Therefore, the area of the triangle ABC is approximately 18096.3 square units.

What is the area of the triangle?

To calculate the area of a triangle, use the formula area = 1/2 * base * height.

We can use Heron's formula to find the area of the triangle ABC when the lengths of its three sides are known:

\(Area = {\sqrt{(s(s-a)(s-b)(s-c))}\)

where "s" is the semiperimeter of the triangle, which is half the sum of the lengths of its three sides:

s = (a + b + c)/2

In this case, we have:

a = AB = 154

b = BC = 346

c = AC = 349

So the semiperimeter is:

s = (a + b + c)/2 = (154 + 346 + 349)/2 = 424.5

Now we can use Heron's formula to find the area of the triangle

\(Area = \sqrt{(s(s-a)(s-b)(s-c))}\\\\Area = \sqrt{(424.5(424.5-154)(424.5-346)(424.5-349))}\\\\Area= 18096.3\)

Therefore, the area of the triangle ABC is approximately 18096.3 square units.

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so from option we can conclude that the required KW is  IAEF. we got the answer by substituting into the equation given

what is  equation ?

An equation is a mathematical statement that asserts that two expressions are equal. It is typically written using an equal sign (=) between the two expressions. An equation can contain variables, which are symbols that represent unknown values.

In the given question,

f(x)=2x²-8=> f(-3)=2*-3²-8=10  

g(x)=-2x³+x=> g(-3)=-2*-3³+(-3)=51

h(x)=3x-10=>h(-8)=3*-8-10=-34

g(2)=-2x³+x=> g(2)=-2*2³+(-2)=-18

so from option we can conclude that the required code is  IAEF

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Answer:34,000

Step-by-step explanation:

Answer:

its 34,000 because it below 5

Step-by-step explanation:

brainliest please

Answer:

k = 21

Step-by-step explanation:

Step 1. since their all vertical angles, then

170° = (6k + 44)°

degrees will cancel each other

170 = 6k + 44

step 2. collecting like terms

6k = 170 - 44

6k = 126

dividing 6 both sides

6k/6 = 126/6

k = 21

Answer:

Step-by-step explanation:

12.

1+|-11|=12

lol

The surface area of a rectangular prism is 48 5/6 mi².

In Mathematics and Geometry, the surface area of a rectangular prism can be calculated and determined by using this mathematical equation or formula:

Surface area of a rectangular prism = 2(LH + LW + WH)

Where:

By substituting the given side lengths into the formula for the surface area of a rectangular prism, we have the following;

Surface area of rectangular prism = 2[6 × 2 1/3 + (1 1/4 × 6) + (1 1/4 × 2 1 /3)]

Surface area of rectangular prism = 2[14 + 15/2 + 35/12]

Surface area of rectangular prism = 48 5/6 mi².

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Answer:

I'm not sure if this is exactly correct but I believe it would be 92%

Step-by-step explanation:

0.92 x 100= 92.

that's it ig

The study that we have here is an observational study. The study is not retrospective in nature.

This study is observational because the researchers are observing and collecting data on a group without manipulating any variables.

It is not a retrospective study because the data is collected in real-time during the first year of college, rather than looking back on past experiences.

Therefore, there are no treatment or control groups, and there is no need for blinding. The study simply reports the percentage of first-year women students who experienced sexual assault during their first year at the regional college.

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The equation of the parabola is y = 2/25x^2 + 2

The complete question is in the image

The given parameters are:

Vertex, (h, k) = (0,2)

Point (x,y) = (-5, 4)

The parabola is represented as;

y = a(x - h)^2 + k

Substitute (h, k) = (0,2)

y = a(x - 0)^2 + 2

This gives

y = ax^2 + 2

Substitute (x, y) = (-5,4)

4 = a(-5)^2 + 2

This gives

4 = 25a + 2

Subtract 2 from both sides

25a = 2

Divide by 25

a = 2/25

Substitute a = 2/25 in y = ax^2 + 2

y = 2/25x^2 + 2

Hence, the equation of the parabola is y = 2/25x^2 + 2

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Answer:

Mark

Step-by-step explanation:

because when x = 0; y = 1

x=1; y=4

and those points are on the solid line graph.

The thought of Mark is correct.

Exponential functions are functions where the independent variable, x is in the exponent.

Given a graph.

It has a solid line and a dotted line.

The given equation is, y = 4ˣ.

In order to find which graph shows the equation, find the points that the graph of the equation will pass through.

When x = 0, y = 4⁰ = 1

Solid graph passes through (0, 1).

Hence Mark is correct.

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Answer:

42

Step-by-step explanation:

39+39 = 78

162 - 78 = 2 lengths =84

84/2 = 42

The reasoning presented lacks explicit explanations and logical connections between the steps, making it difficult to fully understand the intended proof strategy.

The given proof aims to show that the Separation Axioms can be derived from the Replacement Schema using a particular construction involving a formula p(x, y). Let's analyze the proof step by step:

Define the formula p(x, y) as x = yo(x).

This formula states that for each x, y pair, x is equal to the unique object y such that y is obtained by applying the operation o to x.

Define the set F as {(x, x) (x)}.

This set F contains pairs (x, x) where x is the unique object obtained by applying the operation (x) to x.

Claim: F(X) = {y (x = X)p(x, y)} = {y: (x = X)x = y^o(x)} = {x: (3x € X)o(x)} = {x X: (x)}.

This claim asserts that F(X) is equivalent to {y (x = X)p(x, y)}, which is further equivalent to {y: (x = X)x = y^o(x)}, and so on.

The proof states that since (x, y) satisfies the functional formula VaVyVz(p(x, y)^(x, z) y = z), it follows that (x, y) is a functional formula.This step emphasizes that the formula p(x, y) satisfies certain properties that make it a functional formula, which is relevant for the subsequent deductions.

Finally, the proof concludes that the Separation Axioms follow from the Replacement Schema, based on the previous steps.

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Integer - 19 (1/8)inch board would be left after cutting from 34(1/4) inch board

What is an Integer ?

Zero, a positive natural number, or a negative integer denoted by a minus sign are all examples of integers. The inverse additives of the equivalent positive numbers are the negative numbers. When expressed in mathematical terms,

34 (1/4) inch board = 137/4 ----(1)

Cut piece = 14 3/4 = 59/4 ----(2)

saw cut 3/8 = 3/8 --------(3)

To calculate the board which is left after cutting will be

                                                          = 137 / 4 - 59 / 4 - 3/8

                                                          = 137 - 59 / 4 - 3 / 8

                                                          = 39 / 2 - 3 / 8

                                                          = 312 - 6 / 8

                                                          = 306 / 16

                                                          = 153 / 8

or,                                                       = 19 (1/8)inch

Hence, 19(1/8)inch board will be left after cutting

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Answer:

32.94

Step-by-step explanation:

244×13.5%

244×0.135

answer: 32.94

\(x = 4\)

55+85=140

180-140=40

10x=40

divide by ten on each side

x=4

Answer:

8\(\pi\)

Step-by-step explanation:

C=2\(\pi\)r

C=2\(\pi\)4

C=8\(\pi\)

Amount to be repaid for Bank A is $2,696.625 and Amount to be repaid for Bank B is $2,741.25. However, I will choose Bank B because it offers a lower interest rate.

The formula to calculate the simple interest is;

I = PRT

Where;

P is principal

R is rate

T is time

Now, we are given that;

Bank A;

Principal amount; P = $2550

Interest rate; R = 11.5% = 0.115

Time; t = 6 months = 0.5 years

Thus;

I = (2550 * 0.115 * 0.5)

I = $146.625

Amount to be repaid = 2550 + 146.625

Amount to be repaid = $2,696.625

Bank B;

Principal amount; P = $2550

Interest rate; R = 7.5% = 0.075

Time; t = 12 months = 1 year

Thus;

I = (2550 * 0.075 * 1)

I = $191.25

Amount to be repaid = 2550 + 191.25 = $2,741.25

Thus, bank B offers a more favorable interest rate and as such would be the preferred bank.

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There is not enough evidence to conclude that the population mean life span for Honolulu residents is less than 77 years.

At the null hypothesis, it is tested if there is not enough evidence that the mean life span is less than 77 years, that is:

\(H_0: \mu \geq 77\)

At the alternative hypothesis, it is tested if there is enough evidence that the mean life span is less than 77 years, that is:

\(H_1: \mu < 77\)

We are testing if the mean is less than a value, hence we have a left-tailed test, with 20 - 1 = 19 df and a significance level of 0.05, thus the critical value is of:

t = -1.7291.

Thus the conclusion, considering the test statistic t, is given as follows:

The equation to obtain the test statistic is presented as follows:

\(t = \frac{\overline{x} - \mu}{\frac{s}{\sqrt{n}}}\)

The parameters are:

In the context of this problem, the values of these parameters are given as follows:

\(\overline{x} = 71.4, \mu = 77, s = 20.65, n = 20\)

Hence the test statistic is of:

\(t = \frac{\overline{x} - \mu}{\frac{s}{\sqrt{n}}}\)

\(t = \frac{71.4 - 77}{\frac{20.65}{\sqrt{20}}}\)

t = -1.21 -> not enough evidence to reject the null hypothesis.

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Solution:

Given:

The degree of the polynomial is given as

The roots of the equations are given as

Answer:

1 = F

2 = T

3 = F

4 = F

5 = F

Step-by-step explanation:

I am not as sure for the 2nd one as I am for the rest but if i make you get it wrong I am sorry!

Answer:

D) 19

Step-by-step explanation:

biggest number minus smallest number

25-6=19

Answer:

square root of 25 is 5

Step-by-step explanation:

when you take the numbers that multiply together to make 25 which in this case is 5 5*5=25

Answer:

Step-by-step explanation:

$100x0.5x1=$5