A. f(x)=2x+1

B.f(x)=x/2-1

C. f(x)=2x-1

D.f(x)=x/2+1

Given

you make $663.78 a week. if you work 32 hours, find your hourly rate of pay

Solution

1. We need to first know how many hours makes a week

2. Then divide $663.78 by the numbers of hours in a week to get per hour rate

3. We can then multiply money got per hour with 32hours

Step 1

168hours = 1week

Step 2

Step 3

The final answer is

$126.43

Answer:

Yes

Step-by-step explanation:

the function that gives the alcohol level is:

\(A ( x ) = - 0.015 x^3 + 1.05 x\)

where x is the number of hours.

we need to know if after 4 hours an average person is legally drunk, thus:

\(x=4\)

and we substitute this in the function:

\(A ( 4 ) = - 0.015 (4)^ 3 + 1.05(4)\)

solving these operations we obtain:

\(A(4)=-0.015(64)+4.2\\A(4)=-0.96+4.2\)

\(A(4)=3.24\)

the alcohol level after 4 hours is 3.24.

Since a person is considered to be legally drunk if the level exceeds 1.5, and we obtained 3.24 which is greater than 1.5, a person who has been drinking for 4 hours under the conditions indicated by the problem would be considered legally drunk.

Answer:

2(j+4)

Step-by-step explanation:

Answer:

\(\huge\boxed{\sf 2(J+4)}\)

Step-by-step explanation:

The sum of J and 4 = J + 4

Twice the sum of J and 4 = 2(J+4)

\(\rule[225]{225}{2}\)

Hope this helped!

The percentile of 6.2 in the given dataset is 30%. This means that 30% of the values in the dataset are lower than or equal to 6.2.

To determine the percentile of 6.2 in the given dataset, we need to calculate the percentage of values in the dataset that are lower than or equal to 6.2.

First, we arrange the dataset in ascending order: 4.2, 4.6, 5.1, 6.2, 6.3, 6.6, 6.7, 6.8, 7.1, 7.2.

Next, we count the number of values that are lower than or equal to 6.2. In this case, there are three values: 4.2, 4.6, and 5.1.

The next step is to calculate the percentage. We divide the count (3) by the total number of values in the dataset (10) and multiply by 100.

(3/10) * 100 = 0.3 * 100 = 30%

Percentiles are used to understand the relative position of a particular value within a dataset. In this case, 6.2 is higher than 30% of the values in the dataset and lower than the remaining 70%.

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Answer:The probability that all 4 are queen is (4/52)*(3/51)*(2/50)*(1/49).

Step-by-step explanation:

What is probability?

The probability formula is defined as the possibility of an event to happen is equal to the ratio of the number of outcomes and the total number of outcomes.

What will be the probability that 4 queens are selected from a deck?

In a deck, 4 cards are of queen.

The probability of 1 queen card is 4/52.

As 1 queen is removed so now 3 queens are left and total cards are 51. so, the probability that 2nd card is also queen is (4/52)*(3/51).

Similarly, the probability that all 4 are queen is (4/52)*(3/51)*(2/50)*(1/49).

Therefore, the required result is (4/52)*(3/51)*(2/50)*(1/49).

A 95% confidence interval can be used to reject the null hypothesis of a two-sided test at the 5% significance level if and only if:

b) the null hypotheses fall in the rejection region.

The rejection region is determined by the chosen significance level, which in this case is 5%. If the null hypothesis falls within the rejection region, then we reject the null hypothesis in favor of the alternative hypothesis.

When constructing a confidence interval, we are trying to estimate the true population parameter within a certain level of confidence. A 95% confidence interval means that we are 95% confident that the true population parameter falls within the interval. If the hypothesized value falls within the confidence interval, we cannot reject the null hypothesis. However, if the hypothesized value falls outside the confidence interval, we still need to perform a hypothesis test to determine if we can reject the null hypothesis or not.

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the q3 is just above the median so

Step-by-step explanation:

its higher by 5

Answer:

m = -5 / -2 = 2.5

Using the formula for the margin of error, it is found that a smaller confidence interval would be obtained as follow:

D. Increase the sample size to 64.

It is given by the following formula:

\(M = z\frac{s}{\sqrt{n}}\)

In which:

For a smaller interval, we need to decrease the margin of error, which is possible increasing the sample size, hence option D is correct.

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Answer:

the probability that the two committees have at least one member in common is approximately 0.3622.

Step-by-step explanation:

To find the probability that two committees have at least one member in common, we can use the complement rule, which states that the probability of an event happening is 1 minus the probability of the event not happening.

Let A be the event that the two committees have no members in common. To calculate the probability of A, we can first find the number of ways to choose three people out of 20 without any overlap, and then use this to find the total number of ways to choose two committees of three people each without any overlap:

Number of ways to choose 3 people out of 20 without overlap:

C(20,3) = (201918)/(321) = 1140

Number of ways to choose 3 people out of 20 with overlap:

C(20,3) - C(2,1)C(17,2) = 1140 - 2(2*136) = 680

The first term is the total number of ways to choose 3 people out of 20, and the second term is the number of ways to choose 3 people out of 20 such that one particular person is included. We multiply by 2 because there are two committees.

The total number of ways to choose two committees of three people each without any overlap is:

C(20,3) * C(17,3) = (1140*680) = 775200

Therefore, the probability that the two committees have no members in common is:

P(A) = 775200 / (C(20,3)*C(17,3)) = 0.6378

So the probability that the two committees have at least one member in common is:

P(at least one member in common) = 1 - P(A) = 1 - 0.6378 = 0.3622

Therefore, the probability that the two committees have at least one member in common is approximately 0.3622.

Answer:

y = 2 ± √x is the inverse but it's not a function. (See note below for additional info)

Step-by-step explanation:

Given the quadratic function:

\( \displaystyle{y = {x}^{2} + 4x + 4}\)

We can rewrite the function above using perfect square form:

\( \displaystyle{y = {(x + 2)}^{2} }\)

Finding an inverse, we swap the terms of x and y:

\( \displaystyle{x = {(y + 2)}^{2} }\)

Square root both sides, solving for y:

\( \displaystyle{ \sqrt{x }= \sqrt{ {(y + 2)}^{2}} } \\ \\ \displaystyle{ \sqrt{x }= \left| y+ 2\right| } \\ \\ \displaystyle{ \pm \sqrt{x }= y + 2}\)

Subtract both sides by 2:

\( \displaystyle{ \pm \sqrt{x } - 2= y+ 2 - 2} \\ \\ \displaystyle{ \pm \sqrt{x } - 2= y} \\ \\ \displaystyle{y = 2 \pm \sqrt{x} }\)

Therefore the inverse of y = x² + 4x + 4 is y = 2 ± √x.

Note: While it's possible to find the inverse of quadratic function, but the inverse version itself is not really a function. So if you want to go by definition or theorem, you can say there's no inverse function. Otherwise, the answer above is the solution.

Answer:

15.99 or rounded to 16 days

Step-by-step explanation:

1,840 divided by 805 = 2.28

2.28 times 7 = 15.99

Step-by-step explanation:

There are seven days in one week. To find out how much money this man earns in ONE day, you can divide $805 by 7 days like so:

$805 / 7 days = $115 per day

To find out how many days it takes for the man to earn $1,840, you must divide $1,840 by $115 to get the number of days like so:

$1,840 / 115$ = 16 days

Therefore, the man earns $1,840 in 16 days.

Answer:

i dont know 23.4 432.6

Step-by-step explanation

1.  the room on the right is

2. you would do this

3 after try to add then subtract

4.finally you did it

Answer:

f(x) = - 6x + 9

Step-by-step explanation:

y - 6x - 9 = 0
y - y - 6x - 9 = 0 - y
-6x - 9 = -y
y = 6x + 9
f(x) = 6x + 9

Answer:

density = mass/volume  or mass = density * volume, so 7.86 * 15 = 117.9 grams

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

1 + 4x and 57° are corresponding angles and are congruent , so

1 + 4x = 57 ( subtract 1 from both sides )

4x = 56 ( divide both sides by 4 )

x = 14

Answer:

-10/25÷8/10

-10/25×10/8

-100/25(8)

-100/200

-1/2

Hope this is right!!

Answer:

-1/2

Step-by-step explanation:

change the sign from divide to multiply: -10/25 X 8/10

flip the second fraction: -10/25 X 10/8

simplify the expression: -10 divide 5/ 25 divide 5 x 10 divide 2/ 8 divide 2

cancel out greatest factor: -2/5 x 5/4

simplify: - 2 /4

answer: - 1/2

The angle measures for this problem are given as follows:

The sum of the measures of the internal angles of a triangle is of 180º.

The triangle in this problem is ABC, hence the measure of a is obtained as follows:

a + 68 + 50 = 180

a = 180 - (68 + 50)

a = 62º.

c and d are corresponding angles to angle a, as they are on the same position relative to parallel lines, hence their measures are given as follows:

Angle b is a corresponding interior angle with angle a, hence they are supplementary and it's measure is given as follows:

a + b = 180

62 + b = 180

b = 118º.

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Answer:

C

Step-by-step explanation:

is not a polynomial because it has a negative exponent.

The loss percentage is 91%.Given that Venessa bought 80 apples for 4$, out of these apples, 25% were rotten and had to be thrown away. Venessa sold the remaining apples at 6 cents per apple.To calculate the profit or loss percentage, we need to determine the cost price, selling price, and the number of apples sold.

Cost price (CP) = 4 $.Selling price (SP) = 80 × 0.75 × 6 cents= 36 cents = 0.36 $.Now, let's calculate the profit.Profit = SP – CP= 0.36 $ – 4 $= – 3.64 $Loss = CP – SP= 4 $ – 0.36 $= 3.64 $.

Therefore, Venessa incurred a loss of $3.64 when she sold 80 apples at 6 cents per apple.Now let's calculate the loss percentage Loss Percentage = (Loss / CP) × 100= (3.64 / 4) × 100= 91%.

Therefore, the loss percentage is 91%.Note: If the result obtained after the subtraction of SP from CP is negative, it means there is a loss, and the percentage of loss can be calculated by (loss/CP) × 100.

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Answer:

There is significant evidence that Jane has met the requirement.

Step-by-step explanation:

Given that:

μ = 100

μ > 100

Sample size, n = 16

Sample mean, x = 108

Sample standard deviation, s = 12

Level of significance, α = 0.1

Degree of freedom, df = n - 1 = 16 - 1 = 15

Test statistic

T = (x - μ) / s÷sqrt(n)

Tstatistic = (108 - 100) / 12 ÷ sqrt(16)

Tstatistic = 8 / 3

Tstatistic = 2.6667

Using the pvalue calculator :

Tstatistic at 0.1, df = 15 ;

P-value = 0.008799

Since pvalue < α

We reject the Null

The is no significant evidence to conclude that Jane has exceeded an average of more than $100

Answer:

126

Step-by-step explanation: I am pretty sure this is right so my explanation for this answer is, I subtracted 28 by 21 to see how many games were left, I got 7. So then I multiplyed 18 by 7 to see the  total of each to have the final answer.

(sorry if wrong)

Answer: y = 12.6

Step-by-step explanation:

Since x = 2 and y = 6.3 * x, y = 6.3 * 2.

6.3 * 2 is equal to 12.6, so y is 12.6.

Answer:

y = 12.6

Step-by-step explanation:

y = 6.3x                     x = 2

Solve for y.

y = 6.3(2)

y = 12.6

So, the answer is 12.6

Answer:

Step-by-step explanation:

I'm gaAy and I want some imma boy

Answer:

23/45

Step-by-step explanation:

\(4 \frac{1}{9} - 3 \frac{3}{5} \)

First turn them into improper fractions

(Whole number × denominator = ANS + Numberator = ANS Numberator) The number for denominator will remain the same.

\( \frac{37}{9} - \frac{18}{5} \)

in order to take away, the denominators need to be the the same. whatever you do to the bottom, you would do to the top.

9 x 5 = 45 5 x 9 = 45

37 x 5 = 185. 18 x 9 = 162

\( \frac{185}{45} - \frac{162}{45} \)

The demoninators now doesn't need to change. Take away the numerators.

185-162=23

\( \frac{23}{45} \)

The term that can be added to the list so that the greatest common factor of the three terms  12h3 36h3, 12h6, is 48h5

A group of numbers' greatest common factor (GCF) is the biggest factor that all the numbers have in common. For instance, 12, 20, and 24 all share two characteristics.

The term that  can fit in to the list so the GCF is 12h3 would be 48h5, this is so because 48 is first divisible by 12  without any  fraction, and we can remove upon dividing 3 h's from this term as it contains a total of 5 h's.

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Answer:

Becky is 7 years old.

Step-by-step explanation: Let b - Becky's age ; Equation - 3b = 21. Divide both size by 3 to isolate the variable.

Answer:

Becky's 7 seven years old

Step-by-step explanation:

If 21 = 3x

x = 21/3

x = 7

Hope this helps :)

Pls brainliest...