Mark bought 20 toy cars for $15. Tina
bought 12 toy cars for $8. Use cross
products to determine if the given rates
are proportional.
A) Yes, the two rates are proportional.
B) No, the two rates are not proportional.

The correct inequality that can be used to determine g, the maximum number of gigabytes Rahul can use while staying within his budget is:

95 > 4g + 36

What is an inequality?

Rahul pays a flat cost of $36 per month and $4 per gigabyte. So, his monthly bill can be expressed as:

Bill = 4g + 36

where g is the number of gigabytes used in the month.

We want to find the maximum number of gigabytes Rahul can use while staying within his budget of $95 per month. This means we need to find the value of g that satisfies the inequality:

Bill ≤ 95

Substituting the expression for Bill, we get:

4g + 36 ≤ 95

Subtracting 36 from both sides, we get:

4g ≤ 59

Dividing both sides by 4, we get:

g ≤ 14.75

Since the number of gigabytes used cannot be a fraction, we can conclude that the maximum number of gigabytes Rahul can use while staying within his budget is 14. Therefore, the correct inequality is:

95 > 4g + 36

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Answer:

Yes, the are the right degrees.

Answer:

I do agree

Step-by-step explanation:

I know 10. is right because it is a right angle which id usually 90 degrees.

I'm pretty sure 11. is right because I know it is an obtuse angle and I think the number you gave is close if not it.

I know 12. is right because that angle looks the same as DBA which is already labeled 54 degrees.

I know 13.  is right because 180 degrees is always a straight line.

Hope this helps. Plz give brainliest.

Answer:

II and III only

Step-by-step explanation:

Answer:

f(2)=-2×2+4= -4+4= 0

f(0)=-0×2+4= 4

f(1)=-1×2+4= -2+4= 2

Answer:{0,4,3}

Step-by-step explanation:

Given that $Y\sim\text{Exp}(A)$, the probability density function of $Y$ is $f_Y(y)=Ae^{-Ay}$ for $y\geq 0$.

Let $X\sim\text{Poisson}(Y)$. Then, the conditional probability

mass function of $X$ given $Y=y$ is

P(X=k∣Y=y)=e−yykk!,k=0,1,2,…

To find the mean and variance of $X$, we first find $E[XY]$ and $E[X^2Y]$.

\begin{align*}

E[XY] &= \int_{0}^{\infty} E[XY|Y=y]f_Y(y)dy \

&= \int_{0}^{\infty} E[Xy]Ae^{-Ay}dy \

&= \int_{0}^{\infty} ye^{-y}\sum_{k=0}^{\infty}k\frac{y^k}{k!}Ae^{-Ay}dy \

&= \int_{0}^{\infty} ye^{-y}\sum_{k=1}^{\infty}\frac{y^{k-1}}{(k-1)!}Ae^{-Ay}dy \

&= A\int_{0}^{\infty} y\sum_{k=1}^{\infty}\frac{(Ay)^{k-1}}{(k-1)!}e^{-Ay}e^{-y}dy \ &= A\int_{0}^{\infty} y\sum_{k=0}^{\infty}\frac{(Ay)^{k}}{k!}e^{-Ay}e^{-y}dy \

&= A\int_{0}^{\infty} ye^{-(A+1)y}\sum_{k=0}^{\infty}\frac{(Ay)^{k}}{k!}dy \

&= A\int_{0}^{\infty} ye^{-(A+1)y}e^{Ay}dy \

&= \frac{A}{(A+1)^2} \end{align*}

Similarly, we can find $E[X^2Y]$ as:

\begin{align*}

E[X^2Y] &= \int_{0}^{\infty} E[X^2Y|Y=y]f_Y(y)dy \

&= \int_{0}^{\infty} E[X^2y]Ae^{-Ay}dy \

&= \int_{0}^{\infty} y^2e^{-y}\sum_{k=0}^{\infty}k^2\frac{y^k}{k!}Ae^{-Ay}dy \

&= \int_{0}^{\infty} y^2e^{-y}\sum_{k=2}^{\infty}\frac{k(k-1)y^{k-2}}{(k-2)!}Ae^{-Ay}dy \

&= A\int_{0}^{\infty} y^2\sum_{k=0}^{\infty}\frac{(Ay)^{k}}{k!}e^{-Ay}e^{-y}dy \ &= A\int_{0}^{\infty} y^2e^{-(A+1)y}\sum_{k=0}^{\infty}\frac{(Ay)^{k}}{k!}dy \

&= A\int_{0}^{\

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a) 2y = 3x + 8 This equation represents the line passing through the midpoints of BC and AD.

b) the length of the line segment joining the midpoints is indeed half the sum of the lengths of the parallel sides.

a) To show that the line segment joining the midpoints of BC and AD is parallel to both AB and DC, we need to demonstrate that the slopes of the lines are equal.

Let's first find the coordinates of the midpoints of BC and AD:

Midpoint of BC: ( (−2+−4)/2 , (1−2)/2 ) = (−3,-1/2)

Midpoint of AD: ( (1+2)/2 , (2+0)/2 ) = (3/2, 1)

Now, let's calculate the slopes:

Slope of AB: (1-2)/(-2-1) = -1/3

Slope of DC: (-2-0)/(-4-2) = -1/3

Since both slopes are equal, AB is parallel to DC.

Next, let's find the equation of the line passing through the midpoints of BC and AD. We'll use the point-slope form.

Slope of the line passing through the midpoints:

(1-(-1/2))/(3/2-(-3)) = 3/2

Using the midpoint (−3,-1/2), we can write the equation of the line as:

y - (-1/2) = (3/2)(x - (-3))

y + 1/2 = (3/2)(x + 3)

2y + 1 = 3x + 9

2y = 3x + 8

This equation represents the line passing through the midpoints of BC and AD.

b) To show that the length of this line segment is half the sum of the lengths of the parallel sides, we need to calculate the lengths of AB, DC, and the line segment joining the midpoints.

Length of AB:

√((-2-1)^2 + (1-2)^2) = √(9 + 1) = √10

Length of DC:

√((-4-2)^2 + (-2-0)^2) = √(36 + 4) = √40 = 2√10

Length of the line segment joining the midpoints:

√((3/2-(-3))^2 + (1-(-1/2))^2) = √((9/2)^2 + (3/2)^2) = √((81/4) + (9/4)) = √(90/4) = √(9/4 * 10) = (3/2)√10

The sum of the lengths of AB and DC is:

√10 + 2√10 = 3√10

The length of the line segment joining the midpoints is:

(3/2)√10

We can see that the length of the line segment is indeed half the sum of the lengths of AB and DC:

(3/2)√10 = (1/2) * 3√10 = (1/2) * (√10 + 2√10) = 3/2√10 = 3/2√10

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Answer:

Step-by-step explanation:

d = c-b / a-n

Make b the subject

d (a - n) = c - b

-b = d (a - n) / c

Divide both sides by - 1

-b / -1 = d (a - n) / c ÷ -1

b = d (a - n) / c × 1/-1

= d(a - n) / - c

= ad - an / - c

The options given doesn't match the final answer

Answer: ....

Step-by-step explanation: ....

Uncle Makhosi needs approximately 1.56 kilograms of butter.

To determine the amount of butter in kilograms, we'll use the conversion rate of 1 kg = 2.25 pounds.

First, we need to convert 3 and a half pounds to a decimal form. Since half a pound is equal to 0.5 pounds, we can express 3 and a half pounds as 3.5 pounds.

Next, we'll use the conversion rate to calculate the equivalent weight of 3.5 pounds in kilograms:

3.5 pounds * (1 kg / 2.25 pounds) = 1.56 kilograms (rounded to two decimal places).

To summarize, based on the given conversion rate of 1 kg = 2.25 pounds, Uncle Makhosi requires approximately 1.56 kilograms of butter to fulfill his 3 and a half pound requirement. This conversion can be useful when dealing with different units of measurement, allowing us to easily switch between kilograms and pounds.

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The second polynomial is  5x – 5x + 5. Therefore, the first option is correct.

A polynomial is a mathematical statement that consists of variables (also known as indeterminates) and coefficients and uses only the operations addition, subtraction, multiplication, and non-negative integer exponentiation of variables.

Given the polynomial is x + 6x - x and the difference of this polynomial with the second polynomial gives -4x + 11x - x-5. To find the second polynomial, we have to subtract the given polynomial from the difference. That is a-b=c ⇒c-a=-b⇒b=-(c-a). Here a is the first polynomial and b is the second polynomial, and c is the difference. And we get,

\(\begin{aligned}-[(-4x + 11x - x-5)-(x + 6x - x+0)] &=-(-5x + 5x + 0 - 5)\\&=5x - 5x + 5.\end{aligned}\)

The required answer is 5x – 5x + 5.

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The value of x in the remote angles of the triangle  is 22.

The exterior angle theorem states that the measure of an exterior angle of a triangle is greater than either of the measures of the remote interior angles.  

In other words the sum of the remote interior angle is equals to the external angle.

Therefore,

110 = 3x + 2x

110 = 5x

divide both sides by 5

110 / 5 = 5x / 5

x = 22

Therefore, using exterior angle theorem, the value of x is 22.

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Answer:

441 m^3

Step-by-step explanation:

just multiply 9x7x7 and then u have 441^3 lol

Answer:

-2b - 7/2

Step-by-step explanation:

solve for e: -4b+1=8+2e

-4b + 1 = 8 + 2e

-4b + 1 -8 = 2e

-4b - 7 = 2e

-2b - 7/2 = e

\((\stackrel{x_1}{1}~,~\stackrel{y_1}{9})\qquad (\stackrel{x_2}{8}~,~\stackrel{y_2}{8}) ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{\textit{\large rise}} {\stackrel{y_2}{8}-\stackrel{y1}{9}}}{\underset{\textit{\large run}} {\underset{x_2}{8}-\underset{x_1}{1}}} \implies \cfrac{ -1 }{ 7 } \implies - \cfrac{1 }{ 7 }\)

Answer:

slope = 1

Step-by-step explanation:

-3 | -3

5  | 5

_____

8  | 8

8/8= 1

Answer:

\(A = \frac{10,077,696}{118587876497}\)

Step-by-step explanation:

\( { \bigg( \frac{6}{17} \bigg)^{9x} } \: is \: written \: as \: {a}^{x} \\ \\ \implies \: { \bigg( \frac{6^9}{17^9} \bigg)^{x} } = {A}^{x} \\ \\ \implies \: \huge \: A = \frac{6^9}{17^9}\\ \\ \implies \: \huge \: A = \frac{10,077,696}{118587876497}\)

Answer: 22 and 20

Step-by-step explanation: Good luck! :D

Answer:

20+22

Step-by-step explanation:

42-20=22

22+20=42

It means you would expect to win that amount, and if it's negative, it means you would expect to lose that amount.

To calculate the expected value of this bet, we first need to determine the probability of drawing two hearts and the probability of not drawing two hearts.

There are 52 cards in a standard deck, with 13 cards of each suit (hearts, diamonds, clubs, and spades). To calculate the probability of drawing two hearts without replacement, we consider the following:

1st card: The probability of drawing a heart is 13/52, as there are 13 hearts in the deck and 52 cards total.

2nd card: After drawing one heart, there are 12 hearts left and 51 cards total. The probability of drawing another heart is 12/51.

Thus, the probability of drawing two hearts is (13/52) * (12/51).

Next, we need to find the probability of not drawing two hearts. This can be calculated by subtracting the probability of drawing two hearts from 1.

Probability of not drawing two hearts = 1 - [(13/52) * (12/51)]

Now, we can calculate the expected value of the bet:

Expected value = (probability of winning * winnings) + (probability of losing * losses)

In this case, the winnings are $16, and the losses are $3.

Expected value = [(13/52) * (12/51) * $16] + {1 - [(13/52) * (12/51)]} * (-$3)

Now, let's calculate the expected value for 762 bets.

Expected value for 762 bets = 762 * {[(13/52) * (12/51) * $16] + {1 - [(13/52) * (12/51)]} * (-$3)}

Round the final expected value to two decimal places. If it's a positive value, it means you would expect to win that amount, and if it's negative, it means you would expect to lose that amount.

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Answer:

d

Step-by-step explanation:

Answer:

108.90

Step-by-step explanation:

You start with finding  

10

%

of  

90

.

$

90

⋅

.1

=

$

9

You add the money and the interest to get  

$

99

for the first year. However, the next year is different. It's compound interest, so you have to multiply  

10

%

by  

$

99

.

$

99

⋅

.1

=

$

9.90

$

99

+

$ 9.90

= $  108.90   The total would then be  $

108.90  i think lol

Answer:

a) r = √V/6π

b) r = 8 inches

Step-by-step explanation:

a) The volume V​ (in cubic feet) of a right cylinder with a height of 6 feet and radius r (in feet) is given by V=6πr2​ . Solve the formula for r​ .

Solving for r means making r the subject of the formula

= V=6πr²

Divide both side by 6π

V/6π = 6πr²/6π

r² = V/6π

r = √V/6π

b) Then find the radius of the cylinder when the volume is 1206 cubic feet. Round your answer to the whole number.

r = √V/6π

V = 1206 ft³

r = √1206/6π

r = √(63.98028712294193)

r = 7.9987678503 inches

Approximately r = 8 inches

Answer:

greater than

Step-by-step explanation:

Answer: 1) not 2) not 3) monomial 4) binomial 5) trinomial 6) trinomial 7) not 8) trinomial 9) trinomial 10) not 11) trinomial 12) not 13) binomial 14) trinomial 15) trinomial

Step-by-step explanation:

Answer:

If r=0, there is absolutely no relationship between the two variables.

Step-by-step explanation:

Answer:

Cuz the number after the decimal repeats

Step-by-step explanation:

Answer:

Remaining credit = $11.36 [11 dollars and 36 cents]

The absolute value of the test statistic is 2.18. In hypothesis testing, we compare the test statistic to critical values to determine if we can reject the null hypothesis.

To test the claim that the proportion of women who voted for the proposition is greater than the proportion of men who voted for the proposition, we can use a two-sample z-test for proportions.

First, we calculate the sample proportions for women and men. For women, the sample proportion is 22/42 = 0.52, and for men, the sample proportion is 11/70 = 0.157.

Next, we calculate the standard error of the difference in proportions. Using the formula:

SE = sqrt((p1 * (1 - p1) / n1) + (p2 * (1 - p2) / n2))

where p1 and p2 are the sample proportions, and n1 and n2 are the sample sizes, we get:

SE = sqrt((0.52 * (1 - 0.52) / 42) + (0.157 * (1 - 0.157) / 70)) = 0.094

Now, we calculate the test statistic using the formula:

test statistic = (p1 - p2) / SE

Substituting the values, we have:

test statistic = (0.52 - 0.157) / 0.094 ≈ 2.18

The absolute value of the test statistic is 2.18. In hypothesis testing, we compare the test statistic to critical values to determine if we can reject the null hypothesis. If the absolute value of the test statistic is greater than the critical value, we have evidence to support the claim. In this case, if the critical value corresponds to a desired level of significance, and it is less than 2.18, we would reject the null hypothesis and conclude that the proportion of women who voted for the proposition is indeed greater than the proportion of men who voted for the proposition.

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The value of the function  (f + g)(−8) (f + g)(−8) for f (x) = x + 3 and g (x) = x² - 2 is 3249.

We are given the functions:

f(x) = x + 3

g(x) = x² − 2

Now,

(f + g) (−8) × (f + g)(−8)

= [ (f + g) (−8) ]²

Substituting the values of the functions, we get that:

=(x + 3 + x² - 2)² ,   where x = -8

= ( -8 + 3 + 64 - 2 )²

= ( -5 + 62)²

= (57) ²

= 3249

So, the value of the function  (f + g)(−8) (f + g)(−8) for f (x) = x + 3 and g (x) = x² - 2 is 3249.

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