QuestionFor the function h(c) = ™-3c+ 75, find h(-2).(Enter your answer as Ø if the function does not have a value at c= -2.)Provide your answer below:h( – 2)=0

Answer:

8 x 3

Step-by-step explanation:

Answer:

24

Step-by-step explanation:

3 x 8 = 24

Answer:

40\(\pi\)

or 125.66 rounded

Step-by-step explanation:

area of triangle:

1/2(b*h)

1/2(8*8)

1/2(64)

=32

area of half circle:

\(\pi r^{2}\)/2

\(\pi r^{2}\)/2

\(\pi 4^{2}\)/2

\(\pi16\)/2

\(\pi8\) or 8\(\pi\)

So, 8\(\pi\) + 32=40\(\pi\)

The false statement from the stem-and-leaf plot is given as follows:

b. The data for Paul’s group has two modes.

The stem-and-leaf plot lists all the measures in a data-set, with the first number as the key, for example:

4|5 = 45.

The mode of a data-set is the data-set that appears the most times in a data-set.

Hence, for Paul's group, the mode is given as follows:

44.

As it is the only observation that appears the times, hence the data has one mode, and option b gives the false statement.

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Answer: wheat

Step-by-step explanation:

Answer:

The answer is wheat

Step-by-step explanation:

Answer:

The p-value of the test is of 0.0086 < 0.01, which means that there is sufficient evidence to support the claim that the bags are underfilled

Step-by-step explanation:

A manufacturer of chocolate chips would like to know whether its bag filling machine works correctly at the 431 gram setting. It is believed that the machine is underfilling the bags.

At the null hypothesis, we test if they are at the correct weight, that is:

\(H_0: \mu = 431\)

At the alternative hypothesis, we test if they are underfilled, that is:

\(H_1: \mu < 431\)

The test statistic is:

We have the standard deviation for the sample, so the t-distribution is used to solve this question

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

In which X is the sample mean, \(\mu\) is the value tested at the null hypothesis, s is the standard deviation and n is the size of the sample.

431 is tested at the null hypothesis:

This means that \(\mu = 431\)

A 26 bag sample had a mean of 421 grams with a standard deviation of 20.

This means that \(n = 26, X = 421, s = 20\)

Value of the test statistic:

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

\(t = \frac{421 - 431}{\frac{20}{\sqrt{26}}}\)

\(t = -2.55\)

P-value of the test and decision:

Using a t-distirbution calculator, the p-value is found using a left-tailed test(test if the mean is less than a value), with 26 - 1 = 25 df and t = -2.55. This p-value is of 0.0086.

The p-value of the test is of 0.0086 < 0.01, which means that there is sufficient evidence to support the claim that the bags are underfilled

The algebraic expression that correctly represents the cost of t tickets is 8t , the correct option is (a) .

In the question ,

it is given that

the cost of 1 ticket for the theater is = $8.00

let the number of ticket be = t

so , the cost for t tickets = (cost of 1 ticket ) × ( number of tickets )

Substituting the values of number of tickets and cost of 1 ticket ,

we get ,

cost for t tickets = 8 × t

= 8t

Therefore , The algebraic expression that correctly represents the cost of t tickets is 8t .

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The given statement is true.

Answer: F

Step-by-step explanation:

Answer: correct answer is A

Step-by-step explanation:

Remember that the coordinates (−2,−5π3) tell us the radius r=−2 and the angle θ=−5π3. So the point should be on the circle labeled 2 and form an angle of −5π3 with the negative x-axis. Point A is the correct point.

Answer:

Step-by-step explanation:

a ) the graph for a) is attached

y= -2x+5

when x=0, y=5 and when y=0, x=2.5

b) 4x-3y+9=0

  -3y= -9-4x

      y= 4/3 x+3

Answer:

D) $2.81

Step-by-step explanation:

3.8 x .74 = 2.81

Answer:

S₂₇ = 1188

Step-by-step explanation:

using the given formula for \(S_{n}\) , that is

\(S_{n}\) = \(\frac{n}{2}\) (a₁ + \(a_{n}\) )

with a₁ = 5 and \(a_{n}\) = a₂₇ = 83 , then

S₂₇ = \(\frac{27}{2}\) (5 + 83) = 13.5 × 88 = 1188

The correct option is Option D: Yes, the graph passes the vertical line test.

The function is a relationship between two distinct sets X and set Y which can be many-one or one-one. here set X is called the domain and set Y is called the codomain.

The vertical line test states that

If we draw a straight vertical line( which is also parallel to the y-axis) and it touches the graph at only one point at all locations, then that relation is said to be a function and this relation will be also one-one.

So here in this function shown in the graph.

If we draw a vertical line parallel to the y-axis in this at any location then it crosses the graph only once. So, it passes vertical line test. And this graph is a function. Therefore option D is correct.

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Your net income/take-home would be 84.6 percent of the gross amount.

Your net income is the amount of money left after payroll deductions in the form of taxes and other charges on the gross amount of your paycheck.

If we deduct federal and state taxes, 10 percent and 6 percent respectively, we would charge 10 percent and 6 percent of 100 and have 84.6 percent of your original(gross) income left.

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The ratio 81:108 can be simplified to 9:13. To find the simplest form of the ratio, you can divide both numbers by the greatest common factor. The greatest common factor of 81 and 108 is 9, so you can divide both numbers by 9 to get the simplified ratio of 9:13.

The set of the bivariate data which is minimized by the line and used to create a least squares regression line is given by :

option B. The sum of all the squared residuals.

To get a set of bivariate data which help us to create a least squares regression line is :

Option A. The sum of the residuals : Here set values are positive and negative so total sum is zero.

Incorrect option.

Option B : Sum of squared residuals represents all the positive values.

By taking square error of the regression line get minimized by the line.

Correct option.

Option C. Absolute value of the residual will not give least squared regression line.

Incorrect option.

Option D. Outlies does not relate with regression line.

Incorrect option.

Option E. Slope will not define least squared value.

Incorrect option.

Therefore, the set of bivariate data representing least squared regression line is given by :

Option B . Sum of the squared residuals.

The above question is incomplete , the complete question is:

A set of bivariate data was used to create a least squares regression line. Which of the following is minimized by the line

A) the sum of the residuals

B) the sum of the squared residuals

C) the sum of the absolute value of the residuals

D) the influence of outliers

E) the slope

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Answer:

C) Most people need to take out a mortgage to purchase a home.

Step-by-step explanation:

The maximum home value that can be financed is approximately $35,365.85.

Let's represent the maximum home value that can be financed by H.

If the minimum down payment is 18%, the amount financed is 100% - 18% = 82%.

Therefore, we have:

H × 82% = $29,000

Multiplying both sides by (1/82%), we get:

H = $29,000 / 82%

= $35,365.85

Hence, the maximum home value that can be financed is approximately $35,365.85.

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Answer:

about $2546.88

Step-by-step explanation:

You would multiply 15x20 to find the area, which is 300 sq ft. Then, you would find the cost per square foot by dividing 2275/300 which is 7.58 rounded to the nearest hundredth. Now that you have the cost per square foot, you find the area of 12x28 which is 336. Then, you just multiply 336(7.58) which is equal to $2546.88

\( - \sqrt{ \frac{5 - 2 \sqrt{5} }{10} } \)

Answer:

a

Step-by-step explanation:

on edge

The distance from the center of the Earth to the point where the net gravitational force is zero is one-ninth the distance from the Earth to the Moon.

Let's assume that the distance from the center of the Earth to this point is denoted as x.

Given:

Mass of the Moon (M\(_{moon}\)) = 1/81 × M\(_{earth}\)

Distance from Earth to Moon (d\(_{moon}\)) = distance on center

According to the principle of gravitational equilibrium, the gravitational force from the Earth and the gravitational force from the Moon acting on an object at that point must balance out. Mathematically, we can express this as:

F\(_{earth}\) = F\(_{moon}\)

The gravitational force between two objects can be calculated using Newton's law of universal gravitation:

F \(_{gravity}\)= G × (m₁ × m₂) / r²

Where:

G is the gravitational constant (approximately 6.67430 x 10⁻¹¹m²/kg/s²)

m₁ and m₂ are the masses of the two objects

r is the distance between the centers of the two objects

Considering the gravitational forces involved:

F\(_{gravity}\)\(_{earth}\) = G ₓ (M\(_{EARTH}\)  ₓ m\(_{OBJECT}\)) / (d\(_{earth}\))²

F\(_{gravity}\) \(_{moon}\) = G ₓ (M \(_{moon}\) ₓ m\(_{object}\)) / (d \(_{moon}\))²

Since we are looking for the point where the net gravitational force is zero, we set these two forces equal to each other:

G × (M\(_{earth}\) × m\(_{object}\)) / (d\(_{earth}\))²   =     G × (M \(_{moon}\) × m\(_{object}\)) / (d \(_{moon}\))²

Canceling out the common factors of G and m\(_object}\), and substituting the given values:

(M\(_{earth}\) × 1) / (d\(_{earth}\))² = (M \(_{moon}\) × 1) / (d \(_{moon}\))²

Rearranging the equation:

(d\(_{earth}\))²/ (M\(_{earth}\)) = (d \(_{moon}\))² / (M \(_{moon}\))

Taking the square root of both sides:

d\(_{earth}\) / √(M \(_{moon}\))) = d_moon / √(M \(_{moon}\))

Substituting the given values:

d\(_{earth}\) /√(M\(_{earth}\)) = d\(_{moon}\) / √(1/81 × M\(_{earth}\))

Simplifying further:

d\(_{earth}\)  / √(M\(_{earth}\)) =d\(_{moon}\)  / (1/9 × √(M\(_{earth}\)))

Multiplying both sides by √(M\(_{earth}\)):

d\(_{earth}\) = (1/9) × d\(_{moon}\)

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Answer:

Sam workrate 1/5

Lucy workrate 1/3.5 = reciprocal of 7/2 = 2/7

combined workrate: 1/5 + 2/7 = 17/35

they will mow the lawn in  35/17 = 2 and 1/17 hours

2 hours 3 1/2 mins

Step-by-step explanation:

Answer:

7. 14

15. 30

28. 56

32. 64

18 36

x 2x

1/2y. y

2x. 4x

x+3 2x+9

Step-by-step explanation:

each out is double the in

The answer is D. No, they are not independent, because P(girl) = 0.46 and P(girl | plays a sport) = 0.54.

What is independent event ?

In probability theory, two events A and B are said to be independent if the occurrence of one event does not affect the probability of the occurrence of the other event. That is, the probability of A occurring does not change based on whether B occurs or not, and vice versa.

Mathematically, two events A and B are independent if and only if the probability of their joint occurrence is the product of their individual probabilities:

P(A and B) = P(A) x P(B)

If this equation holds true, then we can say that A and B are independent events. Otherwise, they are dependent events.

According to the question:
The answer is D. No, they are not independent, because P(girl) = 0.46 and P(girl | plays a sport) = 0.54.

Two events A and B are independent if the occurrence of one event does not affect the probability of the occurrence of the other event. In this case, we want to know if being a girl and playing a sport are independent events.

We are given that P(girl) = 0.46, which means that 46% of the students surveyed are girls. We are also given that P(girl | plays a sport) = 0.54, which means that 54% of the students who play a sport are girls.

If being a girl and playing a sport were independent events, then we would expect P(girl | plays a sport) to be equal to P(girl). However, we see that P(girl | plays a sport) = 0.54, which is different from P(girl) = 0.46.

This means that the probability of a student playing a sport is dependent on their gender. Therefore, being a girl and playing a sport are not independent events.

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Answer:

7X+7=2(X+1)

7X+7=2X+2

7x-2X =2-7

5X/5 =-5/5

. X =-1

A. P(6, then 1) = 1/90

B. P(even, then 5) = 1/18

C. P(8, then odd) = 1/18

D. P(3, then prime) = 2/45

E. P(prime, composite) = 4/15

F. P(even, then 3, then 5) = 1/144

Given:

Total number of cards: 10

A. P(6, then 1):

P(6, then 1) = 1/10 x 1/9

= 1/90

B. P(even, then 5):

Number of favorable outcomes: 5 x 1 = 5

P(even, then 5) = 5/10 x 1/9

= 1/18

C. P(8, then odd):

Number of favorable outcomes: 1 x 5 = 5

P(8, then odd) = 1/10 x 5/9

= 1/18

D. P(3, then prime):

Number of favorable outcomes: 1 x 4 = 4

P(3, then prime) = 1/10 x 4/9

= 2/45

E. P(prime, composite):

Number of favorable outcomes: 4 x 6 = 24

P(prime, composite) = 4/10 x 6/9

= 4/15

F. P(even, then 3, then 5):

Number of favorable outcomes: 5 x 1 x 1 = 5

P(even, then 3, then 5) = 5/10 x 1/9 x 1/8

= 1/144

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\( \{ \: \alpha \: , \: \beta , \: a, \: b \}\)

\( \sf \longrightarrow \: No. \: of \: \: subsets = {2}^{n} \)

where, n denotes to number of elements in set .

Since, given set contains 4 elements .

Thus , 2⁴ {2 raise to power 4} .

\( \sf \longrightarrow \: No. \: of \: \: subsets = {2}^{4} \)

\( \sf \longrightarrow \: No. \: of \: \: subsets = 2 \times 2 \times 2 \times 2\)

\( \sf \longrightarrow \: No. \: of \: \: subsets = 4 \times 4\)

\( \sf \longrightarrow \: No. \: of \: \: subsets = 16\)

Therefore, Required subsets are 16.

They are , Namely;

\( \sf \longrightarrow \: subsets \: = \phi \: \{ \alpha \} \{ \beta \} \{ a\} \{ b\} \: \{ \alpha \beta \} \{ \alpha a\} \{ \alpha b\} \{ \beta a\} \{ \beta b\} \: .....\)

_____________________________

If n is the number of elements in the set then,

No. of subsets possible for this subset is 2^n that's the (2 raise to the power n).

Let's take another example, {1,2}

Here, n = 2

subsets =2^2 =4

Subsets = ϕ, {1}, {2},{1,2}

Note :- every set is a subset of itself i.e. {1,2} and ϕ is a subset of every set

Answer:

4.44444444444 or 40/9

Step-by-step explanation:

i searched it up

8 divided by 1 4/5 in fraction form will be 40 / 9. Then the faction number 40 / 9 in the decimal form will be 4.4444.

The analysis of mathematical representations is algebra, and the handling of those symbols is logic.

A fraction number is a number that represents the part of the whole, where the whole can be any number. It is in the form of numerator and denominator.

The mixed fraction number is converted into a faction number.

⇒ 1 4/5

⇒ 1 + 4/5

⇒ (5 + 4) / 5

⇒ 9/5

Then the quotient of the numbers 8 and 9/5 will be given as,

⇒ 8 / (9/5)

⇒ 8 x 5 / 9

⇒ 40 / 9

The faction number 40 / 9 in the decimal form will be 4.4444.

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Answer:

neither of them

Step-by-step explanation:

1. To prove that neither of them are correct, we have to work on the equation 2/5(b) + 1 = -11 ourselves.

2. (Solving)

Step 1: Subtract 1 from both sides. (This is where Tyler got it wrong)

Step 2: Multiply both sides by 5/2.

Step 3: Check if solution is correct.

3. As you can see, our solution is correct, but it doesn't match with either Mai or Tyler's works.

Therefore, the answer is neither of them are correct.

Answer:

1

Step-by-step explanation:

3x + 9= 9 -3x

Collect like terms

3x + 3x = 9-9

6x = 0

X = 0

6

Answer:

1 Solution

Step-by-step explanation:

Step 1:

3x + 9 = 9 - 3x

Step 2:

6x + 9 = 9

Step 3:

6x = 0

Answer:

x = 0

Hope This Helps :)