Which graph represents 9(x - 5) = -15y

Answer:

The range that you would expect 68.26 percent of the grades to fall is between 53 and 83.

Step-by-step explanation:

Problems of normally distributed samples can be solved using the z-score formula.

In a set with mean \(\mu\) and standard deviation \(\sigma\), the zscore of a measure X is given by:

\(Z = \frac{X - \mu}{\sigma}\)

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this question:

\(\mu = 68, \sigma = 15\)

Middle 68.26% of the grades:

From the

50 - (68.26/2) = 15.87th percentile

To the

50 + (68.26/2) = 84.13rd percentile.

15.87th percentile:

X when Z has a pvalue of 0.1587. So X when Z = -1.

\(Z = \frac{X - \mu}{\sigma}\)

\(-1 = \frac{X - 68}{15}\)

\(X - 68 = -1*15\)

\(X = 53\)

84.13rd percentile:

X when Z has a pvalue of 0.8413. So X when Z = 1.

\(Z = \frac{X - \mu}{\sigma}\)

\(1 = \frac{X - 68}{15}\)

\(X - 68 = 1*15\)

\(X = 83\)

The range that you would expect 68.26 percent of the grades to fall is between 53 and 83.

The value of t₄ in the arithmetic sequence is 103/8.To determine the value of t₄ in an arithmetic sequence, we need to use the given information that t₁ = 11 (the first term of the sequence) and S₉ = 243 (the sum of the first 9 terms of the sequence).

We know that the formula for the sum of an arithmetic sequence is Sₙ = (n/2)(2a + (n-1)d), where Sₙ is the sum, a is the first term, n is the number of terms, and d is the common difference.

From the given information, we have S₉ = 243, a = 11, and n = 9. Plugging these values into the sum formula, we can solve for d:

243 = (9/2)(2(11) + (9-1)d)

243 = 9(22 + 8d)

243 = 198 + 72d

45 = 72d

d = 45/72 = 5/8

Now that we have the common difference, we can find t₄ using the formula for the nth term of an arithmetic sequence:

tₙ = a + (n-1)d

t₄ = 11 + (4-1)(5/8)

t₄ = 11 + 3(5/8)

t₄ = 11 + 15/8

t₄ = 88/8 + 15/8

t₄ = 103/8

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The equation which correctly represents the given situation as required to be determined is; Choice C; w = 5 × 15.

It follows from the task content that the equation which correctly represents the Given situation is to be determined.

Since the intention is to buy 5 tickets in which case; each ticket costs 15 dollars; we have that;

Since the total amount of dollars they have is w dollars; The equation which holds true for the situation is; w = 5 × 15.

Consequently, answer choice C; w = 5 × 15 is correct.

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Check the picture below.

Answer:

\(y\in (-\infty ,5]\)

Step-by-step explanation:

In this problem, we need to write "Twenty times y is at most 100 in interval notation ".

20 times y means, 20y

Atmost means an inequality which is \(\le\)

ATQ,

\(20\times y\le 100\)

i.e.

\(20y\le 100\\\\y\le 5\)

We can also write it as :

\(y\in (-\infty ,5]\)

Hence, the required interval notation is \(y\in (-\infty ,5]\).

The interval notation is \(\rm y \epsilon (\infty,6]\).

The Interval notation is a method to define a set of numbers between a lower limit and an upper limit by using end-point values.

"Twenty times y is at most 100 in interval notation ".

Here, 20 times y means, 20y at most means an inequality.

Therefore,

The inequality is;

\(\rm 20 \times y\leq 100\\\\20y\leq 100\\\\y \leq \dfrac{100}{20}\\\\y\leq 5\)

Hence, the required interval notation is \(\rm y \epsilon (\infty,6]\).

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Answer:

Hahahaha ewan ko hindi ko alam yan eh sana alam mo (29) hahah

Step-by-step explanation:

So, she is saving for a car, and I would times $350 by how many months she needs to wait to save enough for the car. Which is 4 months=T$1400 which is enough.

Answer:

hope its help you

Step-by-step explanation:

3(x+y)+5=0

3x+3y+5=0

3x+3y= -5

Answer:

3*(x+y) + 5

Step-by-step explanation:

This is an mathematical  expression....it isi NOT an equation...the question does NOT say this is equal to zero (or anything else)

it is this     3 (x+y)   + 5    or   3x + 3y + 5

The volume of the pyramid is 576 cubic inches.

To find the volume of a square base pyramid, you can use the formula:

Volume = (1/3) x base area x height

In this case, the side of the square base is given as 12 inches, and the height is given as 12.5 inches.

First, calculate the base area of the pyramid:

Base area = side²

= 12²

= 144 square inches

Now, substitute the values into the volume formula:

Volume = (1/3) x 144 x 12.5

Volume = 576 cubic inches

Therefore, the volume of the pyramid is 576 cubic inches.

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Answer:

C. 5/6 & 0.833...

Step-by-step explanation:

one way to answer questions like this is to just get a regular calculator, and imput the fractions! 5/6 into the calculator equals .83...

It isn't A because 1/3 is equal to 0.33...

It isn't B because 2/5 is equal to 0.4

And it isn't D because 9/10 is equal to .90

Answer:

5/6 and 0.833...

Step-by-step explanation:

i took the test on edge

Answer:

3x2−2x+6/x2

Step-by-step explanation:

have a great day <33333

Answer:

Step-by-step explanation:

This is a cos function

amplitude = 1

period = π

so

y = 1 * cos(2πt/π)

or

y = cos(2t)

Answer:

Step-by-step explanation:

The probability of drawing a number that is divisible by 3 is 1/3, since there are 3 numbers (3, 6, and 9) out of the 9 possible numbers (1, 2, 3, 4, 5, 6, 7, 8, and 9) that are divisible by 3.

The probability of drawing a 1 after drawing a number that is divisible by 3 is 1/10, since there is only one 1 among the 10 possible digits (0-9) that could be drawn after the first number.

To find the probability of both events happening together (drawing a number divisible by 3 and then drawing a 1), we need to multiply the probability of the first event by the probability of the second event. Therefore, the probability of drawing a number divisible by 3 and then drawing a 1 is:

(1/3) x (1/10) = 1/30

So the probability of drawing a number divisible by 3 and then drawing a 1 is 1/30, or approximately 0.0333, or about 3.33%

Answer:

If I understand this correctly you can draw a 9 and then draw the one if I'm wrong just delete this

Step-by-step explanation:

Answer:

what does the stem-and-leaf plot look like?

a.) The value of pulses exported by US in billion would be=30 billion.

b.) The ratio of wheat export of UK to maize export of IND would be= 6:5

For question a.)

To calculate the pulses, the following steps should be taken as follows:

From the bar chart, the value of pulses in billions = 30 billions.

For question b.)

The ratio of wheat export at UK and maize export at IND would be calculated as follows:

The quantity of wheat export at UK = 24

The quantity of maize export at IND = 20

Therefore, the ratio of wheat to maize = 24:20= 6:5

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The total number of different signals consisting of flags is 216

Given data ,

The number of different signals consisting of 9 flags that can be made using 3 white flags, 3 red flags, and 3 blue flags can be calculated using combinatorial principles.

There are 3 choices for the top flag (white, red, or blue), 2 choices for the second flag (since we've already used one color for the top flag), and 1 choice for the third flag.

Similarly, there are 3 choices for the fourth flag, 2 choices for the fifth flag, and 1 choice for the sixth flag. Finally, there are 3 choices for the seventh flag, 2 choices for the eighth flag, and 1 choice for the ninth flag.

Using the multiplication principle, we can multiply the number of choices at each step to get the total number of different signals:

3 × 2 × 1 × 3 × 2 × 1 × 3 × 2 × 1 = 3! × 3! × 3!

where "!" represents the factorial operation, which is the product of all positive integers up to a given number.

So, the total number of different signals consisting of 9 flags that can be made using 3 white flags, 3 red flags, and 3 blue flags is:

3! × 3! × 3! = 6 × 6 × 6 = 216

Hence , the number of signals is 216

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Answer:

630

Step-by-step explanation:

Given that:

First flip = 72 coins

For each coin which is a head, you roll = 5, six-sided dice

Thus, the expected sum on a single six-sided dice = \(\sum x P(x)\)

\(\sum x P(x)\) = \(\dfrac{1}{6}\times (1+2+3+4+5+6)\)

\(\sum x P(x)\) = 3.5

Thus, the expected sum on the five six-sided dice = 5 × 3.5 = 17.5

However, for a single flip :

The expected sum = P(heads) × expected sum on 5 dice + P(tails) × expected sum on 0 dice.

Expected sum = \(\dfrac{1}{2} \times 17.5 + \dfrac{1}{2} \times 0\)

Expected sum = 8.75

Hence, the expected total score from this game = 72 × 8.75 = 630

Answer:

9576

Step-by-step explanation:

Area of the triangle × height

(1/2×28×19)×36

The product and the quotient of the functions are as follows:

(rs)(4) =8

(r / s)(3) = 2

A function relates input and output. It relates an independent variable with a dependent variable.

Therefore, let's solve the function as follows:

r(x) = 2√x

s(x) = √x

Therefore, let's find

(rs)(4) = r(4) × s(4) = 2√4 × √4 = 4 × 2 = 8

Let's find

(r / s)(3) = r(3) / s(3) = 2√3 / √3 = 2

Therefore,

(rs)(4) =8

(r / s)(3) = 2

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Answer:

you give $2 for admission so that is $3.50 now you can ride 2 games per ride and the total will be riding 7 games

Answer:

m  (parallel)  = 3 /4

Step-by-step explanation:

on the graph Y will start on two

Answer:

\(\huge\boxed{\bf\:62}\)

Step-by-step explanation:

\((9*7) + 7 - 8 = ?\)

We can solve this by using the PEMDAS concept where,

So, to solve this, we need to solve the numbers in the parentheses by doing the requested operation (here it is, mutiplucation).

\((9*7) + 7 - 8\\= (63) + 7 - 8\)

Now, by looking at the PEMDAS rule, we can see that the next step is addition (as, we don't have to divide in this question).

\((63) + 7 - 8\\= 63 + 7 - 8\\= 70 - 8\)

Now, subtract 8 from 70 .

\(70 - 8\\= \boxed{\bf\:62}\)

\(\rule{150pt}{2pt}\)

Answer:

θ = πk, 1.318+2πk, 4.965+2πk

Step-by-step explanation:

4sin(2θ) − 2sin(θ) = 0

8sin(θ)cos(θ) - 2sin(θ) = 0

2sin(θ)[4cos(θ)-1] = 0

2sin(θ) = 0

sin(θ) = 0

θ = πk

4cos(θ)-1 = 0

4cos(θ) = 1

cos(θ) = 1/4

θ ≈ 1.318+2πk, 4.965+2πk

Therefore, θ = πk, 1.318+2πk, 4.965+2πk

Answer:

B

Step-by-step explanation:

The opposite of x is -x

And the opposite of -6 is 6

So -x+6 is the inverse

Answer:

16t⁶ - 192t⁵ + 640t⁴ - 384t³ + 64t²

Step-by-step explanation:

1. Multiply the numbers

2. Combine exponents

3. Combine exponents

4. Expand the square

5. Distribute

6. Distribute

7. Distribute

8. Distribute

9. Combine like terms

10. Combine like terms

11. Combine like terms

12. Distribute

Answer:

r= 3% P=10k

using formula S=P(1+rt)

substitute 2 diff range time and it will form 2 equation. To find r u need to divide those 2 equation. after finding r u can find P by substitute the value of r in either one of those equation. hope it can helps you

The largest area the farmer can enclose with 100 feet of fencing is a rectangle with sides that measure 25 feet by 40 feet. The area of this rectangle is 1000 square feet. The farmer can use this information to fence off the largest possible area for his farm with the 100 feet of fencing he has available.

Area is the measurement of a two-dimensional figure or space. It is represented by a numerical value and is typically measured in units of square meters, square centimeters, or square feet. Area is often used to measure the size of a piece of land, the area of a room, or the total surface of a 3D object. In mathematics, area is a fundamental concept and is used to calculate various other figures, such as the perimeter and volume.

The largest area the farmer can enclose with 100 feet of fencing is a rectangle with sides that measure 25 feet by 40 feet. This can be determined through the proper and complete calculation of the perimeter and area of the rectangle. To start, the perimeter of a rectangle is equal to the sum of its four sides, so the farmer needs to use all of the fencing to create a rectangle with a perimeter of 100 feet. This means that the two sides of the rectangle, x and y, have to add up to 100 feet when added together. This equation can be expressed as x + y = 100.

Next, the area of a rectangle is equal to the product of its two sides, so the farmer needs to find the two sides that will give the largest product when multiplied together. To do this, the farmer can use the equation from the perimeter, x + y = 100, to solve for x and y. This gives the equation x = 100 – y. Plugging this equation into the area equation gives the equation A = (100 – y)y. To find the maximum area, the farmer needs to take the derivative of this equation and set it to zero. This gives the equation y = 50, meaning that the two sides of the rectangle are both 50 feet.

Therefore, the largest area the farmer can enclose with 100 feet of fencing is a rectangle with sides that measure 25 feet by 40 feet. The area of this rectangle is 1000 square feet. The farmer can use this information to fence off the largest possible area for his farm with the 100 feet of fencing he has available.

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Considering the given information, we fail to reject the null hypothesis that the proportion of men who own cats is less than or equal to 23% at the 0.10 significance level.

The null and alternative hypotheses are as follows:

H o: p ≤ 0.23 (proportion of men who own cats is less than or equal to 23%)

H a: p > 0.23 (proportion of men who own cats is larger than 23%)

The test is right-tailed because the alternative hypothesis states that the proportion is larger than 23%.

Based on a sample of 40 people, with 15% of them owning cats, we can calculate the p-value.

To find the p-value, we need to use the binomial distribution and calculate the probability of observing a result as extreme or more extreme than the one obtained under the null hypothesis.

Let's calculate the p-value:

p = 0.15 (proportion of men in the sample who own cats)

n = 40 (sample size)

p-value = P(X ≥ 0.15 x 40) = P(X ≥ 6)

Using a binomial calculator or software, we can find that P(X ≥ 6) is approximately 0.162.

Since the p-value (0.162) is greater than the significance level of 0.10, we fail to reject the null hypothesis.

Therefore, based on the given information, we fail to reject the null hypothesis that the proportion of men who own cats is less than or equal to 23% at the 0.10 significance level.

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Answer: 375

Step-by-step explanation:

Ruling out each number:

6: In the first two rows, the 6's placement did not change but the clue did, meaning that it is talking about a different number. Otherwise, it would say it's in the right place twice or in the wrong place twice.

3 & 5: Since we know 6 is already ruled out, both 5 & 3 would have to be correct.

2 & 4 & 8: Is proven wrong in the 4th clue.

7: 7 would have to be in the middle since the second clue says it's in the wrong place. If it was 1, it would say it's in the right space.

1: Is proven wrong after 7 is proven true.

Figuring out placement:

5: For the first clue, it says that it's in the correct place meaning that 5 is the last digit.

3: For both of the times 3 appears, it is in the wrong spot, revealing that it's the first digit.

7: In the second clue, it could either be 1 or 7. However, since 3 took the first spot and 5 took the last spot, 7 would have to be in the middle since the clue says it's in the wrong place. If it was 1, it would say it's in the right space.