what is the slope of the line 3x-4y=73x4y=7?​

The cutoff score to be in the bottom 6% of all ACT math scores is about 27.71. To find the cutoff score to be in the bottom 6% of all ACT math scores, we need to use the normal distribution table.

First, we need to convert the score to a z-score using the formula: z = (x - μ) / σ, where x is the score, μ is the mean, and σ is the standard deviation.
For the bottom 6% of scores, we need to find the z-score that corresponds to a cumulative probability of 0.06. Looking at the normal distribution table, we find that the closest value is 1.55.
So, we can solve for the score by rearranging the formula as x = z * σ + μ. Plugging in the values, we get:
x = 1.55 * 5.75 + 18.5 = 27.7125
It's important to note that this calculation is based on the assumption that the distribution of ACT math scores follows the normal model with a mean of about 18.5 and a standard deviation of about 5.75. In reality, the distribution may not be exactly normal, and the mean and standard deviation may vary depending on the sample of test takers.

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Answer:

the answer is d!  :)

Step-by-step explanation:

edge 2021

Answer:

it is D.

Step-by-step explanation:

the person ubove me is right

Answer:

I think 1/5 would be the answer

Step-by-step explanation:

I hope this helps

Probability of choosing green balls = 1/22. Probability of choosing black balls = 3/163. Probability of choosing red balls = 5/164. Probability of choosing neither green nor black balls = 5/16.

The given data shows that the sack has 80 balls out of which 25 are red and 40 are green. The remaining balls will be black.Therefore, the number of black balls will be= Total number of balls - (Red balls + Green balls)= 80 - (25 + 40) = 15Part (a)If a ball is chosen randomly from the sack, then the probability that the ball chosen is green is given by:Probability of choosing green balls = Number of green balls/Total number of balls= 40/80= 1/2Part (b)If a ball is chosen randomly from the sack, then the probability that the ball chosen is black is given by:Probability of choosing black balls = Number of black balls/Total number of balls= 15/80= 3/16Part (c)If a ball is chosen randomly from the sack, then the probability that the ball chosen is red is given by:Probability of choosing red balls = Number of red balls/Total number of balls= 25/80= 5/16Part (d)Neither green nor black balls are red balls. Hence, the probability of choosing neither green nor black balls is the probability of choosing red balls. Therefore, the probability of choosing neither green nor black balls is 5/16.The probability of the following events are:1. Probability of choosing green balls = 1/22. Probability of choosing black balls = 3/163. Probability of choosing red balls = 5/164. Probability of choosing neither green nor black balls = 5/16.

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Answer:

Revised statement balance=$ 864.52

Yes Rona's is account reconcile

Step-by-step explanation:

Calculation to Find Rona's revised statement balance

Using this formula

Revised statement balance=Ending balance+Deposits-Checks Outstanding

Let plug in the formula

Revised statement balance=$ 725.71+$610.00-$ 471.19

Revised statement balance=$ 864.52

Based on the above calculation the Revised statement balance of the amount of $ 864.52 is equal to the balance from checkbook which simply means that Rona's ACCOUNT is RECONCILE

Answer + Explanation:

1. you want to rearrange the equation ( don't change the actual value ) to put it in the form y = mx + b. in this form, m represents the slope and b represents the y-intercept.

this is how you would do that:

4x - 3y = 12

subtract 4x from both sides

-3y = -4x + 12

divide both sides by -3

y = 4/3x - 4

this means the slope is 4/3 and the y-intercept is -4

2. do the same thing, rearranging into y = mx + b form

2y = 6x - 12

divide both sides by 2

y = 3x - 6

this means the slope is 3 and the y-intercept is -6

The statement \(log_{2} 4 + log_{2} 8 = 5\) is true.

We have been given two logarithm terms that is the first term is \(log_{2} 4\) and second term is \(log_{2} 8\).

The properties of logarithm that we are going to use are

          \(log a^{m} = m *log a\)  and \(log_{a} a = 1\)

First we will find the value of the two terms by operating the above mentioned properties of logarithm to obtained the values of the logarithm.

Thus,

                          \(log_{2} 4 = log_{2} 2^{2} \\ = 2* log_{2} 2\\ = 2*1\\ = 2\)

Similarly,    

                            \(log_{2} 8 = log_{2} 2^{3} \\ = 3* log_{2} 2\\ = 3*1\\ = 3\)        

Now adding both the terms by substituting its respective values which we have calculated above, we get

                   \(log_{2} 4 + log_{2} 8 = 2+3 = 5\)  

Thus,  we have proved that    R.H.S = L.H.S  

Hence the statement is  \(log_{2} 4 + log_{2} 8 = 5\) is true.

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Answer:

2000 pounds is 1 ton

6 tons is 12,000

7 tons is 14,000

16,000 pounds is 8 tons

Answer:

Let X equal the remaining time she needs to practice.

You would have 2x

The combined total needs to be 6 hours or greater.

You need to add the amount she already practiced to 2x.

Now you have: three and one fourth + 2x

This needs to be greater than or equal to 6.

Ans:- three and one fourth + 2x ≥ 6

The probability that 5 hearts are chosen if 8 cards are selected from a well-shuffled deck of 52 playing cards is  0.0156296302.

The number of choosing 8 cards out of 52 is = ⁵²C₈

Number of ways of choosing 5 cards of heart out of 13 cards and 3 out of remaining 39 cards = ¹³C₅ × ³⁹C₃

Probability of choosing 5 hearts =  ¹³C₅ × ³⁹C₃ /  ⁵²C₈

= 1287 ×9139 / 752538156

= 11761893 / 752538156

= 0.0156296302

A basic 52-card deck consists of 13 ranks in each of the four French suits: clubs, diamonds, hearts, and spades. Each card includes three court cards (face cards), King, Queen, and Jack, as well as reversible (double-headed) images. Each card also contains ten numeral cards or pip cards, from one to ten.

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The question asks you to create a confidence interval for the percentage of American households that plan to buy a new automobile next year. A survey of 1400 American homes revealed that 34% expected to purchase a new automobile in the coming year. The aim is to create a 98% confidence interval for the population share of households planning to purchase a new automobile in the coming year. The solution will be one of the offered possibilities, which are all a range of numbers that may or may not include the population proportion.

We can use the following formula to construct the confidence interval:

CI = (proportion ± z*(√(proportion*(1-proportion)/n)))

Where z is the critical value for the given confidence level, the proportion is the proportion of those who indicated they plan to buy a new car next year, and n is the sample size.

For a 98% confidence level, the critical value, z, is 2.326. Therefore, the confidence interval is (0.3074, 0.3726).

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Answer:

Your answer would be:61

Answer:

The area of this section of pavement is 800 square feet

Step-by-step explanation:

10 ft times 80 ft = 800 square feet

Give me brainliest if that helped :)

Answer:

I cannot see the full question but if i am wrong i will edit my answer but i think it is C

Step-by-step explanation:

Answer:

1/7 because you do the inverse.

Answer:

7 is b

Step-by-step explanation:

Answer: (m-3)(5m-2)

Step-by-step explanation:

5m^2-17m+6 factored is (m-3)(5m-2).

The value of x in the given quadratic equation is determined as -7 ± 8i.

The solutiion to the linear equation is determined as follows;

x² + 14x + 17 = -96

x² + 14x + 17 + 96 = 0

x² + 14x + 113 = 0

solve the equation using formula method;

a = 1, b = 14, c = 113

\(x = \frac{-b \ \ \pm\sqrt{b^2 - 4ac} }{2a} \\\\x = \frac{- 14\ \ \pm\sqrt{(14)^2 - 4(1\times 113)} }{2(1)} \\\\x = \frac{- 14\ \ \pm\sqrt{-256} }{2}\\\\x = \frac{- 14\ \ \pm\sqrt{256} \times \sqrt{-1} }{2}\\\\x = \frac{-14 \ \ \pm 16 \times i}{2} \\\\x = -7 \pm 8i\)

Thus, the value of x in the given quadratic equation is determined as -7 ± 8i.

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Answer:

-7 ± 8i.

Step-by-step explanation:

I took the test

Answer:

The slope is 3/4 and the y-intercept is 1

Step-by-step explanation:

2x+x=4(y-1)

3x=4(y-1)

Distributive prop.

3x=4y-4

Changing into slope-intercept form

4y-4=3x

4y=3x+4

y=3/4x+1

The slope is 3/4 and the y-intercept is 1

Answer:

Equation: y = 3/4(x) + 1

Slope: 3/4

Y-intercept: 1

Step-by-step explanation:

1. How do we solve this problem?

Step 1: Simplify both sides of the equation.

Step 2: Flip the equation.

Step 3: Add 4 to both sides.

Step 4: Divide both sides by 4.

2. Now, the y-intercept form of an equation goes like this: y = mx + b, where y = y-coordinate, m = slope, x = x-coordinate, and b = y-intercept. In the place of m, the slope is 3/4. In the place of b, the y-intercept is 1.

Answer:

A,  40.16

Step-by-step explanation:

cosθ = adjacent (BC) / hypotenuse (AB)

cos 17° = BC / 42

BC = 40.16

Answer:

\(\boxed{BC = 40.16}\)

Step-by-step explanation:

Cos 17 = \(\frac{adjacent}{hypotenuse}\)

Where adjacent = BC, hypotenuse = 42

0.959 = \(\frac{BC}{42}\)

BC = 0.959 * 42

BC = 40.16

Answer:

12

Step-by-step explanation:

To find range, you subtract the largest and smallest number :)

The slope-intercept form of the equation 5x + 3y = -9 is y = (-5/3)x - 3.

To rewrite the equation 5x + 3y = -9 in slope-intercept form, which is in the form y = mx + b, where m represents the slope and b represents the y-intercept, we need to solve for y.

Let's start by isolating y:

5x + 3y = -9

Subtract 5x from both sides:

3y = -5x - 9

Divide both sides by 3 to isolate y:

y = (-5/3)x - 3

Now, we have the equation in slope-intercept form. The slope of the line is -5/3, which means that for every unit increase in x, y decreases by 5/3 units. The y-intercept is -3, which means that the line intersects the y-axis at the point (0, -3).

Therefore, the slope-intercept form of the equation 5x + 3y = -9 is y = (-5/3)x - 3.

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The expected value of a gamble can be calculated by multiplying the probability of winning by the amount you could win and subtracting the probability of losing multiplied by the amount you could lose.

In this case, we are given that if a red card is drawn from a standard 52-card deck, you win $1200, and if a black card is drawn, you lose $1200.

First, let's determine the probability of drawing a red card from a standard 52-card deck. In a standard deck, there are 26 red cards (13 hearts and 13 diamonds) and 26 black cards (13 spades and 13 clubs). So the probability of drawing a red card is 26/52, which simplifies to 1/2 or 0.5.

Next, let's calculate the probability of losing, which is the probability of drawing a black card. Similarly, the probability of drawing a black card is also 26/52 or 1/2.

Now, we can calculate the expected value using the formula:
Expected value = (probability of winning * amount won) - (probability of losing * amount lost)

Expected value = (0.5 * $1200) - (0.5 * $1200)
Expected value = $600 - $600
Expected value = $0

Therefore, the expected value of the gamble is $0. This means that, on average, you neither win nor lose money in the long run by playing this gamble.

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The quantity of bread that Debbie uses each week on the average is = 54 loaves of bread

The number of days the restaurant opens per week = 6 days.

The number of bread she uses everyday is = 9 loaves.

Therefore, the quantity of bread that Debbie uses each week on the average is = 6×9 = 54 loaves of bread.

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The uniform model assumes equal probabilities for all values within a given range when there is no reason to believe that any X-values are more likely than others.

In statistics, the uniform model assumes that all values within a given range have an equal probability of occurring. This means that there is no preference or bias towards any specific value within the range. The uniform distribution is often represented by a rectangular shape, where the probability of any particular value occurring is constant.

The uniform model is typically used when there is no reason to believe that any X-values are more likely than others. This means that there is no prior information or evidence indicating that certain values are more probable or occur more frequently than others. In other words, there is no specific distribution or pattern in the data that suggests any particular value is more likely to occur.

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Answer:

x=55°

Step-by-step explanation:

x=90-35

x=55°

(because its x+35=90°)

Answer:

The angle of x equals to be 45 degrees.

Step-by-step explanation:

Since the angle is a right angle that equals to 90. The you subtract 90 by your second angle, 35. 90 - 35 = 45

Answer:

y= -1/10x + 77 /10.........

Answer: that’s 5

Step-by-step explanation:

Value of the iterated integral is 64.

To make it clearer, I'll rewrite the integral using proper notation:

∫(from 0 to 2) ∫(from 0 to 2x) ∫(from 0 to y) 3xyz dz dy dx

To evaluate the iterated integral, follow these steps:

1. Evaluate the innermost integral with respect to z:

∫(from 0 to 2) ∫(from 0 to 2x) [(3xyz²)/2] (from 0 to y) dy dx

2. Plug in the limits of integration for z:

∫(from 0 to 2) ∫(from 0 to 2x) [(3xy³)/2 - 0] dy dx

3. Evaluate the next integral with respect to y:

∫(from 0 to 2) [(3x²y⁴)/8] (from 0 to 2x) dx

4. Plug in the limits of integration for y:

∫(from 0 to 2) [(3x²(2x)⁴)/8 - 0] dx

5. Simplify the expression:

∫(from 0 to 2) [(3x¹⁰)/8] dx

6. Evaluate the outermost integral with respect to x:

[(3x¹¹)/88] (from 0 to 2)

7. Plug in the limits of integration for x:

[(3(2)¹¹)/88 - (3(0)¹¹)/88]

8. Simplify the expression:

(3 * 2048) / 88 = 6144 / 88 = 64

So the value of the iterated integral is 64.

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Answer: It is the 2nd one

Step-by-step explanation: 8≤m