In a class of 32 students, 16 students study Spanish, 14 students are in band, 6 students are in both Spanish and band. How many students were in neither class?

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Explanation:

4:00 p.m. corresponds to x = 16, since 12+4 = 16

You can think of 4:00 p.m. representing 1600 hours in terms of military time.

Locate 16 on the x axis. Draw a vertical line until this vertical line crosses the blue parabola. Check out the diagram below.

From this point of intersection, draw a horizontal line until you move to the y axis. You should be somewhere between y = 60 and y = 90.

A good guess could be 75 since it is the midpoint of 60 and 90. Algebraically we confirm it as such: (60+90)/2 = 150/2 = 75

To be fair, we may not hit the exact middle and may be at y = 70 instead of y = 75. But I think the midpoint is a good estimate considering we don't have all the information.

Luckily 75 is on the list of choices, and the other choices aren't even close. So choice C is likely the answer.

Answer:

$153.24

Step-by-step explanation:

:/

Answer:

$50

Step-by-step explanation:

Answer:

I know that someone else already answered and got brainliest but I just thought to give some steps to solving because you never know who needs it ;)

The answer is 50 as the person who answered above me said.

Step-by-step explanation:

Now, to get to solving.

I hope this will be helpful to somebody and feel free to comment, ask questions, give feedback, and correct my steps if they are not correct!

Have a great day! :)

Answer:

A. (see Step-by-step explanation)

B. (-1, 4)

Step-by-step explanation:

Since both functions are equal to y, we can set them equal to each other.

-x + 3 = 4x + 8

Add the x to both sides (because it is negative on the left) and subtract the 8 from both sides (because it is positive on the right and we need to isolate the variable).

-5 = 5x

Divide both sides by 5 (because it is being multiplied to the x) to isolate x.

x = -1

Next, to solve for y, we can plug in -1 for x in either equation from the beginning.

y = -(-1) + 3

y = 1 + 3

y = 4

Answer:

12

Step-by-step explanation:

7/9 x 27 - 18 + 1/3 x 27

Express 7/9 ×27 as a single fraction.

7 x 27 / 9 - 18 + 1/3 x 27

Multiply 7 and 27 to get 189.

189/9 - 18 + 1/3 x 27

Divide 189 by 9 to get 21.

21 - 18 + 1/3 x 27

Subtract 18 from 21 to get 3.

3 + 1/3 x 27

Multiply 1/3 and 27 to get 27/3.

3 + 27/3

Divide 27 by 3 to get 9.

3+9

Add 3 and 9 to get 12.

12

Answer:

4

Step-by-step explanation:

2/3÷1/6

Flip the 1/6 to make it a reciprocal and then multiply

2/3•6/1

simplify by crossing out

2•2 =4

Answer:

thx and oki

Step-by-step explanation:

Answer:

10 pair of soccer shorts.

Step-by-step explanation:

Let the unknown be x.

Translating the word problem into an algebraic equation, we have;

2/5 yard = 1 pair of short

4 yard = x pair of short

Cross-multiplying, we have;

2x/5 = 4

Multiplying both sides by 5, we have;

2x = 20

x = 20/2

x = 10 pair of soccer shorts.

Answer:

no

Step-by-step explanation:

he cant lift he's too weak

Answer:

21

Step-by-step explanation:

Answer:

2800m2

12345667888888

Answer:

400m squared

Step-by-step explanation:

so a square has 4 EVEN sides.. 16 divide 4 is 4 just add the zeros..

Answer:

a. 0.0124 = 1.24% probability of stopping the manufacturing when the sample mean is 16 inches.

b. 0.0241 = 2.41% probability of stopping the manufacturing in case the mean is shifted to 16.05 inches.

c. 0.5 = 50% probability of not disturbing the manufacturing if mean shifts to 16.25 inches.

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

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.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

Assume that the standard deviation of diameter of the rims is 0.3 inches. Samples of 9.

This means that [tex]\sigma = 0.3, n = 9, s = \frac{0.3}{\sqrt{9}} = 0.1[/tex]

a. Calculate the probability of stopping the manufacturing when the sample mean is 16 inches.

Here we have [tex]\mu = 16[/tex]

Higher than 16.25:

This is 1 subtracted by the pvalue of Z when X = 16.25. So

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

By the Central Limit Theorem

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

[tex]Z = \frac{16.25 - 16}{0.1}[/tex]

[tex]Z = 2.5[/tex]

[tex]Z = 2.5[/tex] has a pvalue of 0.9938

1 - 0.9938 = 0.0062

Lower than 15.75:

This is the pvalue of Z when X = 15.75. So

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

[tex]Z = \frac{15.75 - 16}{0.1}[/tex]

[tex]Z = -2.5[/tex]

[tex]Z = -2.5[/tex] has a pvalue of 0.0062

Probability of stopping:

2*0.0062 = 0.0124

0.0124 = 1.24% probability of stopping the manufacturing when the sample mean is 16 inches.

b. Calculate the probability of stopping the manufacturing in case the mean is shifted to 16.05 inches.

Here we have [tex]\mu = 16.05[/tex]

Higher than 16.25:

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

[tex]Z = \frac{16.25 - 16.05}{0.1}[/tex]

[tex]Z = 2[/tex]

[tex]Z = 2[/tex] has a pvalue of 0.9772

1 - 0.9772 = 0.0228

Lower than 15.75:

This is the pvalue of Z when X = 15.75. So

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

[tex]Z = \frac{15.75 - 16.05}{0.1}[/tex]

[tex]Z = -3[/tex]

[tex]Z = -3[/tex] has a pvalue of 0.0013

Probability of stopping:

0.0228 + 0.0013 = 0.0241

0.0241 = 2.41% probability of stopping the manufacturing in case the mean is shifted to 16.05 inches.

c. Calculate the probability of not disturbing the manufacturing if mean shifts to 16.25 inches.

Between 16.25 and 15.75 with [tex]\mu = 16.25[/tex]. This is the pvalue of Z when X = 16.25 subtracted by the pvalue of Z when X = 15.75.

X = 16.25

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

[tex]Z = \frac{16.25 - 16.25}{0.1}[/tex]

[tex]Z = 0[/tex]

[tex]Z = 0[/tex] has a pvalue of 0.5

X = 15.75

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

[tex]Z = \frac{15.75 - 16.25}{0.1}[/tex]

[tex]Z = -5[/tex]

[tex]Z = -5[/tex] has a pvalue of 0

0.5 - 0 = 0.5

0.5 = 50% probability of not disturbing the manufacturing if mean shifts to 16.25 inches.

Answer:

85478

Step-by-step explanation:

Step-by-step explanation:

Let the price of each pounds of bananas be x andthe price of each pounds of grapes be y.

ATQ,

3x+4y = 10.25 ...(1)

2x+2y = 5.5 ..(2)

Multiply equation (2) by 2.

4x+4y = 11 ...(3)

Now, subtract equation (1) from (3).

4x+4y-(3x+4y) = 11-10.25

4x+4y-3x-4y = 0.75

x = 0.75

Put the value of x in equation (2)

2(0.75)+2y = 5.5

1.5+2y = 5.5

2y = 5.5 - 1.5

2y = 4

y = 2

So, there are 0.75 pounds of bananas and 2 pounds of grapes.

Answer:

A) x-5

Step-by-step explanation:

(x-5)(x^2+3x) = x^3-2x^2 -15

Hi! Your answer is x - 5

Please see an explanation for a better and clear understanding to your problem!

Any questions about my answer and explanation can be asked through comments! :)

Step-by-step explanation:

To find an expression that is a factor, we simply factor the expression first. Sound a bit confusing? Well It's not that confusing if you understand it.

So what we need to do is to factor the expression first.

[tex]\huge{x^3-2x^2-15x}[/tex]

Notice anything? Yes, the whole expression has x-term as a variable. We can simply factor the expression by common factor, pulling the variable with the least degree.

We should get [tex]\large{x(x^2-2x-15)}[/tex] from common factor. However, we can still factor inside the brackets. Inside the bracket, the expression can be factored by two brackets factor. Our x-term which is outside of bracket is a bit useless so you can ignore it. What we want is to factor the expression inside the bracket.

[tex]\large{x^2-2x-15}[/tex]

To factor this kind of expression, we use two brackets factoring for a = 1.

[tex]\large{(x-a)(x-b)}[/tex]

To find the first term, we simply multiply x and x to each others.

To find the second term, we add -bx and -ax to each others.

To find the first term, we multiply -a and -b to each others.

So if we follow these steps, our (x-a)(x-b) should be x²-ax-bx+ab = x²-(a+b)x+ab

[tex]\large{x^2-(a+b)x+ab}[/tex]

We only need to find a and b value. Which two numbers multiplying each others and get -15? There are only -5 and 3 or 3 and -5.

That means -5 and 3 | 3 and -5 are our only options.

But what two numbers adding up each others and get -2? That means it's -5 and 3 because -5+3 = -2.

Therefore, from x²-2x-15. Our factors are (x-5)(x+3)

So when the expression is completely factored, the new factored expression is x(x-5)(x+3) Then we look at the choices to see if there are these factors in the choices. From the choices and the expression, the only correct answer is (x-5) because x+5 is not a factor (it doesn't appear), same with other two choices. They seem to be factored but not fully factored.

Hence, the answer is x - 5

Answer:

[tex]\boxed{\text{\large $ y=96.1\sqrt{x} $}}[/tex]

Step-by-step explanation:

Using a graphing calculator, plot (x,y) points

and plot the functions from the options to know which function fits the data

Answer:

Step-by-step explanation:

Using a graphing calculator, plot (x,y) points

x = no. of jobs

y = no. of workers needed

and plot the functions from the options to know which function fits the data

Answer:

The answer is 45.

Step-by-step explanation:

60% of a number is 54, find the original number

54 ÷ 60%

= 54 ÷ 60/100

= 54 * 100/60

= 90

50% of 90 is

90 * 50%

= 90 * 50/100

= 90 * 1/2

= 45

Answer:

C. 3¹² y¹⁰

Step-by-step explanation:

(3⁶/y⁻⁵)² = (3⁶/1 / 1/y⁵)² = (3⁶ *y⁵)² = 3¹² y¹⁰

The expression 3¹² y¹⁰ is equivalent to the given expression. which is the correct answer that would be an option (C).

Expressions are mathematical statements with a minimum of two terms containing variables or numbers

The expression is given in the question as:

⇒ (3⁶/y⁻⁵)²

Here, the exponent rules for multiplication and division of powers with the same base have been used to simplify the expression. The first rule states that when two powers with the same base are multiplied, the exponents should be added.

⇒ (3⁶/y⁻⁵)²

⇒ (3⁶/1 / 1/y⁵)²

⇒ (3⁶ × y⁵)²

⇒ 3¹² y¹⁰

Therefore, the expression 3¹² y¹⁰ is equivalent to the given expression.

Learn more about the expression here :

brainly.com/question/21751419

#SPJ2

Answer:

A

Step-by-step explanation:

Will get rid of what is on the rightside of the equal sign on both sides :)

Answer:

Step-by-step explanation:

Elimination works when one of the variables is eliminated by adding or subtracting the equations

△CBE ≅△CDE

Answer:

7662  electronic keyboards

Step-by-step explanation:

Given that,

The number of electronic keyboards sold in Ohio each year is equivalent to six times the average number sold yearly in Alaska.

There are 45,972 electronic keyboards sold each year in Ohio.

We need to find how many are sold in Alaska.

Ohio = 6 (Alaska)

[tex]A=\dfrac{45972 }{6}\\\\A=7662[/tex]

So, 7662  electronic keyboards are sold in Alaska.

(-5,-1) is aka -5<x<-1

This means -2 is the largest value you can find.

Perhaps that is if you are on a line graph, or if you are putting this on a line graph put an open circle (○) on -1 and -5 and draw a line in between the numbers. That's also if you are talking about real numbers and not integers this question is a bit too broad for me to actually figure out the true answer.

Answer:

C

Step-by-step explanation:

This triangle has a right angle so it is right.

It also has three different sides so it is scalene.

C is the answer