A summer music program admits a total of 30 students. Every year the program is filled. Some years there are only girls, and some years there are only boys. A function, f, is written that gives the number of girls, y, enrolled in the program based on the number of boys, x. If this function is graphed over the appropriate domain, which statement must be true? Select all the statements
that apply.

Answer:

A

Step-by-step explanation:

7^2+8^2 does NOT equal 9^2

A. (7,8,9)


Did the test just now.

Let Joes average = x

Phil’s average is 0.250 and is 5/6X ( 5/6 of Joe’s)

5/6x = 0.250

Solve for x by dividing both sides by 5/6. When dividing by a fraction, flip the fraction over and multiply;

X = 0.250 x 6/5 = (0.250 x 6)/5 = 1.5/5 = 0.30

Joes average is 0.3

Step-by-step explanation:

(1.00)³⁶⁵

=1

1 power any natural number is 1

Answer:

1

Step-by-step explanation:

(1.00)^365

it means to multiply (1 .00) 365 times

Perpendicular Definition:

[tex] \large \boxed{m_1m_2 = - 1}[/tex]

Slopes of two different equations multiply each others and must equal to -1. We can also say that the perpendicular occurs only if both equations are negative reciprocal to each others. For example, we are given the equation of y = 2x. The perpendicular to y = 2x would be y = (-1/2)x. See how both are reciprocal to each others.

From the equation below:

[tex] \large{x + 5y = - 2}[/tex]

Since the equation is in the form of Ax+By = C. It is better to use the another slope formula which is:

[tex] \large \boxed{m = - \frac{A}{B} }[/tex]

From the equation above, use the slope formula to find the slope.

[tex] \large{m = - \frac{1}{5} }[/tex]

Therefore the equation has a slope of -1/5. Next to find the perpendicular equation to the original equation. Since our slope is -1/5 - that means the negative reciprocal of -1/5 is 5. Therefore the slope of perpendicular line is 5.

Next we will be using the point-slope form below:

[tex] \large \boxed{y - y_1 = m(x - x_1)}[/tex]

Given the y1 and x1 or (x1,y1) are the points. Our perpendicular slope is 5 which passes through the point (3,0). Substitute both slope and the point in.

[tex] \large{y - 0 = 5(x - 3)}[/tex]

Simplify in the slope-intercept form as we get:

[tex] \large{y = 5x - 15}[/tex]

Answer

Hope this helps and let me know if you have any doubts!

Answer:

the anser is 54 cm square (30+15+9)

Answer:

it area is 54 cm square

Step-by-step explanation:

Answer:

the first one

-14m - 7m + 1 = - 7m + 1

Answer:

c) it appears to be sound because the data are not biased in anyway.

Step-by-step explanation:

From the information given regarding the sample selection method , the size, the larger sample from which the survey subject were selected, we can conclude that the data is sound and not in anyway biased. The subject were selected from a reputable market research firm, which means the subjects were chosen from a larger sample which is reliable and not just a voluntary pool of subjects. Also, the selection process is randomized. Based on these, there are no flaws which are likely to cause the introduction of bias into the sample selected. Hence, the data is sound and not in any way biased.

Answer:

35°

Step-by-step explanation:

From the sketch made, to obtain B we use the cosine angle formula :

We have 2 so des and an included angle

Cos B = (a² + c² - b²) / 2ac

First we obtain the side c

c² = a² + b² - 2ab CosC

c² = 11.2² + 6.7² - 2(11.7 * 6.7) * cos 72

c = 11.13

Using the value of c

Cos B = (a² + c² - b²) / 2ac

CosB = (11.2² + 11.13² - 6.7²) / (2*11.2*11.13)

Cos B = 204.4269 / 249.312

B = Cos^-1(204.4269 / 249.312)

B = 34.9°

Answer:

Step-by-step explanation:

Answer:

The p-value of the test is 0.1611>0.01, which means that there is not significant evidence at the 1% significance level that less than 34% of fathers take no responsibility for child care

Step-by-step explanation:

A journal article reports that 34% of fathers take no responsibility for child care. A group of fathers believes that this estimate is too high.

At the null hypothesis, we test if the proportion is of at least 34%, that is:

[tex]H_0: p \geq 0.34[/tex]

At the alternative hypothesis, we test if the proportion is less than that, that is:

[tex]H_1: p < 0.34[/tex]

The test statistic is:

[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]

In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, [tex]\sigma[/tex] is the standard deviation and n is the size of the sample.

0.34 is tested at the null hypothesis:

This means that [tex]\mu = 0.34, \sigma = \sqrt{0.34*0.66}[/tex]

In a random sample of 80 fathers, it was found that 23 of those fathers take no responsibility for child care.

This means that [tex]n = 80, X = \frac{23}{80} = 0.2875[/tex]

Value of the test statistic:

[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]

[tex]z = \frac{0.2875 - 0.34}{\frac{\sqrt{0.34*0.66}}{\sqrt{80}}}[/tex]

[tex]Z = -0.99[/tex]

P-value of the test and decision:

The p-value of the test is the probability of finding a sample proportion below 0.2875, which is the p-value of Z = -0.99.

Looking at the Z-table, Z = -0.99 has a p-value of 0.1611.

The p-value of the test is 0.1611>0.01, which means that there is not significant evidence at the 1% significance level that less than 34% of fathers take no responsibility for child care

Answer:

iv. q/6E0

Step-by-step explanation:

Electric flux formula:

The electic flux formula, of a charge q is given by, through an entire cube, is given by:

[tex]E = \frac{q}{E_o}[/tex]

In which [tex]E_o[/tex] is a constant related to the material.

The electric flux through any one face of the cube is:

Key-word is face, and a cube has 6 faces, with the force distributed evenly throughout it. Thus

[tex]E_f = \frac{1}{6} \times \frac{q}{E_o} = \frac{q}{6E_o}[/tex]

And the correct answer is given by option iv.

Answer:

222

Step-by-step explanation:

What I did was calculate the area of each sides of the triangular prism.

For the two triangles:

1/2(6x5)=15 (for 1 triangle, notice there are 2 so -> 30)

For the 2 rectangles:

5x12=60 x2 = 120

For the base:

6x12=72

Add all them together we get 222

Answer:

y=30x+4

Step-by-step explanation:

Answer:

x = 1.2

Step-by-step explanation:

We can use a ratio to solve since they are similar triangles

6        (6+4)

----- = ---------

x             2

Using cross products

6*2 = (6+4)*x

12 = 10x

Divide by 10

12/10 = x

1.2 =x

Hope this help!!!

Have a nice day!!!

here is the answer

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Answer:

1/2 or 0.5

Step-by-step explanation:

All possible odd values on a 6-sided die include 1, 3, and 5; that is 3 values out of 6 total values. 3/6 or 1/2 is a 0.5 probability.

===================================================

Explanation:

16/31 represents the probability of picking a white marble

This is because there are 16 white out of 15+16 = 31 total.

---------

After we make a first selection, we have 16-1 = 15 white marbles left out of 31-1 = 30 marbles overall. The probability of selecting another white marble is 15/30 = 1/2.

Multiply those two fractions:

(16/31)*(1/2) = (16*1)/(31*2) = (2*8)/(31*2) = 8/31

which represents the probability of selecting two white marbles in a row, such that we don't put the first one back (and there's no replacement).

Answer:

no solution

Step-by-step explanation:

[tex]\dfrac{2x - 6}{4} > \dfrac{x - 3}{2}[/tex]

The LCD is 4, so multiply both sides of the inequality by 4.

[tex]4 \times \dfrac{2x - 6}{4} > 4 \times \dfrac{x - 3}{2}[/tex]

[tex]2x - 6 > 2 \times (x - 3)[/tex]

[tex]2x - 6 > 2x - 6[/tex]

Subtract 2x from both sides.

[tex]-6 > -6[/tex]

Since -6 = -6, the above statement is false, so there are no solutions.

Answer: no solution

Answer:

B

Step-by-step explanation:

Answer:

B EDGE

Step-by-step explanation:

Answer:

Option 4) -$45 per month; the amount of money withdrawn per month.

Step-by-step explanation:

The rate of change is 45. Before he began taking money out to pay for his classes[month 0], he had $190. Since then, every month, $45 have been withdrawn.

Answer:

-2.41: -2.14: -2.1: -11/8: 7/50

Answer:

c

Step-by-step explanation:

Answer:

$66.3

Step-by-step explanation:

price of a ticket without discount = $78

discount  % = 15%

discount amount = ?

price of a discounted ticket = ?

discount amount = discount% of price of a original ticket

=15/100 * $78

=$1170/100

=$ 11.7

price of the discounted ticket = $78 - $11.7

=$66.3

The discounted price of the stadium's normal ticket is  $66.3

A percentage is a value per hundredth. Percentages can be converted into decimals and fractions by dividing the percentage value by a hundred.

Given, A stadium's normal ticket price is $78 and As a special promotion they offer 15% off.

Therefore, The discounted price of the ticket should be (100 - 15)% = 85% of the original price which is,

= (85/100)×78.

= $66.3 is the discounted price.

learn more about percentages here :

https://brainly.com/question/24159063

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Answer:

The opposite of a number is the number on the other side of 0 number line, and the same distance from 0.

Answer:

y = $0.50x + $5. $7 if you went 4 miles

Step-by-step explanation:

$0.50 will be the coefficient for the variable x since the amount changes based on how many miles you ride. $5 will be the amount you are charged just for getting into the taxi and doesn't change depending on how many miles you go.

[tex]y=0.50x+5[/tex]

I used x = 4 for the number of miles travelled.

[tex]y=0.50(4)+5[/tex]

[tex]y=2+5[/tex]

[tex]y=[/tex] $7 total cost