Apply the distributive property to create an equivalent expression,
1/3(3j+ 6)

Answer: 942

Step-by-step explanation:

so your d is 300 so your r = 300/2= 150

a=3.14*r*r= 3.14*150*150= 70650

c= 3.14*d= 3.14*300= 942

Answer:

First always the positive is greater than the negative

Then 1/2, 2, 21/2, 2, 11/2 are greater than - 1/2

1/2=0.5

21/2=10.5

11/2=5.5

Then from lowest to greatest

-1/2,1/2,2,11/2,21/2

I hope you understand

Answer:

In order from top to bottom: 5^2, 125, 50

Step-by-step explanation:

1. (3+2) × 5 = 5 × 5 = 5^2

2. 5^3 = 5 × 5 × 5 = 125

3. 10^2 / 2 = 100/2 = 50

Answer:

10^2/2=50

5^3=125

(3+2)*5=5^2

Step-by-step explanation:

Answer:

a) Due to the higher z-score, Ronald performed better relative to his peers on the test.

b) Ronald needed a grade of at least 732.5, and Rubin of at least 33.58.

c) 95% of the population fall between graded of 4.868 and 31.132 on the ACT.

95% of the population fall between graded of 304 and 696 on the SAT.

Step-by-step explanation:

Normal probability distribution

When the distribution is normal, we use the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

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:

(a) Relative to their peers who also took the tests, who performed better on his test? Explain.

We have to find whoever has the higher z-score.

Ronald:

Ronald scores 700 on the math section of the SAT exam. The distribution of SAT scores is approximately normal with a mean of 500 and a standard deviation of 100. So the z-score is found when [tex]X = 700, \mu = 500, \sigma = 100[/tex]. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{700 - 500}{100}[/tex]

[tex]Z = 2[/tex]

Rubin:

Rubin takes the ACT math exam and scores 31 on the math portion. ACT scores are approximately normally distributed with a mean of 18 and a standard deviation of 6.7. So the z-score is found when [tex]X = 31, \mu = 18, \sigma = 6.7[/tex]. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{31 - 18}{6.7}[/tex]

[tex]Z = 1.94[/tex]

Due to the higher z-score, Ronald performed better relative to his peers on the test.

(b) A certain school will only consider those students who score in the top 1% in the math section. What grades would Ronald and Rubin have to receive on their respective tests to be considered for admission?

They have to be in the 100 - 1 = 99th percentile, that is, they need a z-score with a pvalue of at least 0.99. So we need to find for them X when Z = 2.325.

Ronald:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]2.325 = \frac{X - 500}{100}[/tex]

[tex]X - 500 = 232.5[/tex]

[tex]X = 732.5[/tex]

Rubin:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]2.325 = \frac{X - 18}{6.7}[/tex]

[tex]X - 18 = 15.58[/tex]

[tex]X = 33.58[/tex]

Ronald needed a grade of at least 732.5, and Rubin of at least 33.58.

(c) Between what two grades does 95% of the population fall for the ACT and the SAT exams?

They fall between the 100 - (95/2) = 2.5th percentile and the 100 + (95/2) = 97.5th percentile, that is, they fall between X when Z = -1.96 and X when Z = 1.96.

ACT:

Lower bound:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]-1.96 = \frac{X - 18}{6.7}[/tex]

[tex]X - 18 = -1.96*6.7[/tex]

[tex]X = 4.868[/tex]

Upper bound:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]1.96 = \frac{X - 18}{6.7}[/tex]

[tex]X - 18 = 1.96*6.7[/tex]

[tex]X = 31.132[/tex]

95% of the population fall between graded of 4.868 and 31.132 on the ACT.

SAT:

Lower bound:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]-1.96 = \frac{X - 500}{100}[/tex]

[tex]X - 500 = -196[/tex]

[tex]X = 304[/tex]

Upper bound:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]1.96 = \frac{X - 500}{100}[/tex]

[tex]X - 500 = 196[/tex]

[tex]X = 696[/tex]

95% of the population fall between graded of 304 and 696 on the SAT.

Answer:

c = √130

Step-by-step explanation:

Using Pythagorean theorem, c² = a² + b².

Where,

a = 9

b = 7

c = hypotenuse = ??

Thus:

c² = 9² + 7²

c² = 130

c = √130

Answer:

The fallacy can specifically be noted in this argument:

"You fell asleep and missed two important customer calls."

Step-by-step explanation:

In the previous argument we can see that the worker is being attacked directly, it is not being indicated with reasonable evidence when it was that he actually fell asleep, in what month, in what time, and how many times.

Answer:

Step-by-step explanation:

If a apples sold then profit is:

If b bananas sold then profit is:

Total profit is the sum of the profits:

Correct options are D and E ( or 4 and 5)

Answer:

[i] Area of Juan's garden:

Soln,

length(l)=16

width(w)=12

area(a)=?

Now,

a=l×w

=16×12

=192

[ii] Area of Matthew's garden:

Soln,

length(l)=18

width(w)=21

area(a)=?

Now,

a=l×w

=18×21

=378

So,the area ofJuan's garden=192

And

the area of Matthew's garden=378

Answer:

y=1/7x+11/7

Step-by-step explanation:

I used mathaway

Answer: There can be multiple combos.

Answer:

(a)

Step-by-step explanation:

The base angles theorem states that if 2 sides of a triangle are congruent, that is an isosceles triangle then the angles opposite these sides are equal.

Answer:

Step-by-step explanation:

The Base Angle Theorem states that in an isosceles triangle, the angles opposite the congruent sides are congruent.

Answer:

e

Step-by-step explanation:

Answer:

You aren't posting pictures

Step-by-step explanation:

Answer: 60$

Step-by-step explanation:

because you have the initial 30$ One time fee then you times 6$ by 5 days and 6x5= 30 then you add 30+30= 60

Total combinations are found by multiplying the quantities of each part by each other.

3 kinds of meat x 2 types of bread x 3 types of drinks

A) total combinations = 3 x 2 x 3 = 18

B) there are 18 different combinations, ham in rye with tea is 1 combination.

The probability would be 1/18

was divided into equal parts to make 7 loaves of bread. How can you mount of flour used for each loaf? select all that apply

Step-by-step explanation:

Answer:

B, C, F

Step-by-step explanation:

C = 3/8 divided 7 times 5.  3/8 lbs of flour in each was divided into equal parts to make 7 loaves. 3/8 divide by 7. Since there are 5 bags, times 5.

B = 3/8 times (for the five bags) times 5 divided by 7 samething from C.

F = You know the pattern now. Hint: B is the answer...

Answer:

It should be C.

Step-by-step explanation:

Answer:

it is the first bubble the one you have already selected

Answer:

[tex]f^{-1} (x)=\frac{x-3}{2}[/tex]

Step-by-step explanation:

y = f(x)

y = 2x+3

You need to switch the places of x and y, into this:

x = 2y + 3

Then solve for y:

2y = x-3

[tex]y=\frac{x-3}{2}[/tex]

[tex]f^{-1} (x)=\frac{x-3}{2}[/tex]

Replace x with 10.

The exponent is now 0.1(10) = 1

Now you have 5000(1.181)^1

1.181^1 = 1.181

So now 5000 x 1.181 = 5,905

The answer is 5,905

Answer:

540 pages

Step-by-step explanation:

100 pages = 50 mins

??? pages = 270 mins (converted 4hrs 30 mins to minutes)

Now you could cross multiply to find what the number of pages are:

100 pages x 270  mins = 50 mins x ??? pages

27000 = 50 mins x ??? pages

27000/50 = ??? pages

540 = ??? pages

So there are 540 pages in his favourite book.

Answer:

12

Step-by-step explanation:

The two unknown values of the triangle have to be the same.

Subtract 28 from 180 and you get 152

So each angle will be 76.

So now, 76 = -8 + 7x

Simplify and 84 = 7x

Now, x is equal to 12

Hope this helped! Please mark me as brainliest if you can!

Answer:

less

Step-by-step explanation:

Answer:

3/9 is less that 5/8

Step-by-step explanation:

To answer this question we can simply infer which is greater by using simple knowledge.

We know that 1/9 and 1/8 are both relatively small parts of a whole.

Now we know that 1/8 is greater than 1/9

If we think about it 5/8 is bound to be greater than 3/9 because the parts of a whole when you are dealing with 8ths are greater than when you are dealing with 9ths and since there are more 8ths than 9ths in the comparison as in     (3 < 9) then we should already know that:

5/8 is greater than 3/9

Answer:

Look at the graph below, hope this helped.

Step-by-step explanation:

The area of figure will be;

⇒ 105.56 km²

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The figure is shown.

Now,

The area of figure is find as;

Total area = (12 × 7) + (π × 4² / 4) + (3 × 3)

               = 84 + 3.14 × 4 + 9

               = 93 + 12.56

               = 105.56 km²

Thus, The area of figure will be;

⇒ 105.56 km²

Learn more about the area visit:

https://brainly.com/question/11564229

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Given:

The given function is

[tex]y=\sec x[/tex]

To find:

The period of given function.

Solution:

General sec function is defined as

[tex]y=A\sec (Bx+C)+D[/tex]

Where, A is amplitude, [tex]\dfrac{2\pi}{B}[/tex] is period, [tex]-\dfrac{C}{B}[/tex] is phase shift and D is vertical shift.

We have,

[tex]y=\sec x[/tex]

Here, B=1. So,

[tex]Period=\dfrac{2\pi}{1}[/tex]

[tex]Period=2\pi[/tex]

Therefore, the period of given function is 2π.

The value of period of function y = sec x is, 2π.

The given function is,

y = sec x

Since, We know that,

General form of equation for sec x is,

y = A sec (Bx + C) + D

Where, A is amplitude, 2π/B is period and D is vertical shift.

Here, function is,

y = sec x

Hence, B = 1,

So, Period = 2π/B

                = 2π/1

                = 2π

Thus, The value of period of function y = sec x is, 2π.

Learn more about trigonometric ratios at:

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Answer:

1.846=x

Step-by-step explanation:

SO to find X

We know perimeter is 16

So we have all the sides so add them all up

3x+3+8x-5+2(x-3)=16

Now distribute the possible things first

3x+3+8x-5+2x-6=16

Now combine like terms

13x-8=16

add 8 on both sides

13x=24

Since the problem asked for rounded to 3 decimal places

1.846

Answer:

$2.64

Step-by-step explanation:

0.44 times 6.

Answer:

2.64

Step-by-step explanation:

6*0.44=2.64

i hope it will help you

Answer:

y=-1 1/3+18

Step-by-step explanation:

isolate the y and divide both by 9