2 QUESTIONS: 1. Based on the diagram and congruent marks, what would be a correct congruence statement and the most likely reason the triangles might be congruent? (picture included) 2. Based on the diagram and congruent marks, what would be a correct congruence statement and the most likely reason the triangles might be congruent?

Answer:

The vertex is (-1, 4), the domain is all real numbers, and the range is y less than 4

Step-by-step explanation:

Given

[tex]f(x) = -(x+1)^2 + 4[/tex]

Solving (a): The vertex;

Assume the general form of a function is

[tex]f(x) = a(x-h)^2+k[/tex]

The vertex is determined by [tex](h,k)[/tex]

By comparison, we have:

[tex]-h = 1[/tex]

Solve for h, we have:

[tex]h = -1[/tex]

[tex]k = 4[/tex]

So, the vertex is:

[tex](h,k) = (-1,4)[/tex]

The domain; x is all real numbers

From the function;

[tex]f(x) = -(x+1)^2 + 4[/tex]

This can be rewritten as:

[tex]f(x) = 4 - (x+1)^2[/tex]

This implies that:

Whatever the value of [tex](x + 1)^2[/tex] is, it will be subtracted from 4 to give y or f(x);

Hence:

y is less than 4

Option B answers the question

Complete Question

According to a survey, 74% of households said that they have never purchased organic fruits or vegetables. Suppose that this result is true for the current population of households. a. Let x be a binomial random variable that denotes the number of households in a random sample of 10 who have never purchased organic fruits or vegetables. What are the possible values that x can assume? Integers to . b. Find to 3 decimal places the probability that exactly 6 households in a random sample of 10 will say that they have never purchased organic fruits or vegetables. Use the binomial probability distribution formula. Probability

Answer:

a

The possible value of x is 0, 1 ,2,3,4,5,6,7,8,9,10

b

[tex]P(X = 6) =   0.158 [/tex]

Step-by-step explanation:

From the question we are told that

 The proportion that stated that they have not purchased organic fruits or vegetables is [tex]p =0.74[/tex]

   The sample size is  n = 10

The possible value x can take is  0, 1 ,2,3,4,5,6,7,8,9,10

Generally the probability that exactly 6  households in a random sample of 10 will say that they have never purchased organic fruits or vegetables is mathematically represented as

      [tex]P(X = 6) =  ^nC_6 * p^{6}* (1-p)^{n-6}[/tex]

Here C denotes combination

So

        [tex]P(X = 6) =  ^{10}6 * (0.74)^{6}* (1-0.74)^{10-6}[/tex]

=>    [tex]P(X = 6) =   0.158 [/tex]

Answer:

A.3

Step-by-step explanation:

Answer:

-15--14/1 +-9x-11

-15+14+99

-1+99

98

Answer:

There is 5/8 left for Mohamed to eat.

Step-by-step explanation:

Let's put everything into fractions of 1/8. knowing that 25% is 1/4 or 2/8, 1/8 + 2/8= 3/8. and to find the answer, you need to subtract 3/8 from 8/8 or 1.

As a result, 5/8.

1/8 = 12.5%

12.5% + 25% = 37.5%

We need to know how much is left.

37.5% is gone, so 100% - 37.5% = 62.5%

62.5% is left for Mohamed to eat.

62.5% = 5/8.

5/8 of a pizza is left for mohamed to eat.

[tex]given \: that \ :[/tex]

[tex]x = 8[/tex]

[tex]then \:12 - x \: will \: be \: :[/tex]

[tex]12 - 8[/tex]

[tex] = 4[/tex]

[tex]∴ \: 12 - 8= 4 [/tex]

Answer:

The result of 12-x when x=8, is 4

Step-by-step explanation:

Numerical Evaluation

Evaluate an algebraic expression means substituting the variables present in the expression by their respective numerical values, operate and report the result.

The given expression is

12 - x

Substituting x = 8, we get:

12 - 8 = 4

The result of 12-x when x=8, is 4

Answer:

2.30 is going to be your anwer

Step-by-step explanation:

Answer:

$136.

Step-by-step explanation:

Divide how much they made by the # of hours. 306/18=17. Multiply the amount per hour 17 by the 8 hours of work. 17x8=136.

Answer:

13.46

Step-by-step explanation:

The correct response is 13.46.

Since 9 is greater than 5, we replace the 5 in the hundreths place with a 6.

Answer:

K What's the problem?

Step-by-step explanation:

Ended up getting the answer wrong because the other person this is the correct answer.

(8,2)

Enjoy and Happy Holidays :)

The image of (2,8) after a reflection over the line y = x is (8, 2).

The given coordinate is (2, 8).

Reflect over the y = x: When you reflect a point across the line y = x, the x-coordinate and y-coordinate change places.

When we reflect (2, 8) over the line y=x, we get the coordinate as (8, 2). Because the x-coordinate and y-coordinate changed places.

Therefore, the image of (2,8) after a reflection over the line y = x is (8, 2).

To learn more about the reflection over the line y = x visit:

https://brainly.com/question/18376051.

#SPJ5

Answer:  2/3 = b/ac = d/e

Step-by-step explanation:

This is all I got if I got it right. Is this one of your answers?

Answer:

a= 2

b=4

c=3

d=2

e=3

Step-by-step explanation:

i hope this helps.

Answer:

C ( 27, 4 )  number of ways

Step-by-step explanation:

number of coins in piggy bank = 23

x1 = number of pennies

x2 = number of nickels

x3 = number of dimes

x4 = number of quarters

x5 = number of half dollars

The required condition = 23

The required different combinations can be represented as

=  C ( 5 + 23 - 1 , 23 ) = C ( 27 , 23 )

                                  = C ( 27, 4 )

This is because :( C ( n, r ) = C (n, n-r ))

Answer:

60

Step-by-step explanation:

it is because 360-(120+85+95)

Answer:

2(3+2)

Step-by-step explanation:

Answer:

c. the sampling distribution of the sample mean will be approximately normally distributed as long as the sample size is sufficiently large

Step-by-step explanation:

The law of large numbers is a statistical law, that states : As sample size grows, the sample mean tends to go closer to whole population mean.

So, the sampling distribution of the sample mean will be approximately normally distributed as long as the sample size is sufficiently large

Answer:

0.61

Step-by-step explanation:

probability is out of 100 so if you do 100-39

you get 61

Answer:

1/4

Step-by-step explanation:

9 divide by 18= 1/4

Answer:V = 72.1 cm³ - 50.0 cm³ = 22.1 cm³

D = mV=99.7g22.1cm³ = 4.51 g/cm³

Step-by-step explanation:

d = mV

m = d×V

V = md

DENSITY

Density is defined as mass per unit volume.

d = mV

Example:

A brick of salt measuring 10.0 cm x 10.0 cm x 2.00 cm has a mass of 433 g. What is its density?

Step 1: Calculate the volume

V = lwh = 10.0 cm × 10.0 cm × 2.00 cm = 200 cm³

Step 2: Calculate the density

d = mV = 433g200cm³ = 2.16 g/cm³

MASS

d = mV

We can rearrange this to get the expression for the mass.

m = d×V

Example:

If 500 mL of a liquid has a density of 1.11 g/mL, what is its mass?

m = d×V = 500 mL × 1.11g1mL = 555 g

VOLUME

d = mV

We can rearrange this to get the expression for the volume.

V = md

Example:

What is the volume of a bar of gold that has a mass of 14.83 kg. The density of gold is 19.32 g/cm³.

Step 1: Convert kilograms to grams.

14.83 kg × 1000g1kg = 14 830 g

Step 2: Calculate the volume.

V = md = 14 830 g × 1cm³19.32g = 767.6 cm³

Answer:

x = 39

Step-by-step explanation:

A circle is made up of 360 degrees

235+ 54+ x+32 = 360

Combine like terms

x+321=360

Subtract 321 from each side

x+321-321 = 360-321

x = 39

Answer and explanation:

Please find attached

Answer:

b  =  -1

Step-by-step explanation:

Move all terms containing  to the right side of the equation

:)

2/3x+6 = 8

subtract 6 from both sides

2/3x = 2

divide both sides by 2/3

x = 3

Answer:

x = 3

Step-by-step explanation:

Multiply both sides of the equation by 3

2x + 18 = 24

Move Constant to the right-hand side and change its sign

2x = 24 - 18

Subtract the numbers

2x = 6

Divide both sides of the equation by 2

x = 3

Solution

x = 3

Step-by-step explanation:

a. true

property: identity

b. false

property: communitive

c. true

associative

d. false

property: multiplication property of zero

Answer:

5(-3)^2+7

Step-by-step explanation:

Answer:

5(-3)^2+7

Step-by-step explanation:

please this is my true answer dont judge me please..thank...

Answer:

29

Step-by-step explanation:

They are linear pairs so they add up to 180

6x+6=180

6x=174

x=29