Two hundred people attended the history museum exhibit on Monday. Twenty-five of the people who attended the exhibit were surveyed at random. Twelve of the surveyed people answered "yes" to the question.

How many of the total number of people who attended the history museum would you expect to answer "yes"?

12
24
48
96

Answer:

[tex]\frac{7x + 7}{(x-3)(x+4)}[/tex]

Excluded values are 3 and -4

Step-by-step explanation:

To simplify the expression multiply to create a common denominator.

Multiply the first fraction by (x-3) and the second fraction by (x+4).

[tex]\frac{3}{x+4} + \frac{4}{x-3}\\\\\frac{3(x-3)}{(x+4)(x-3)} + \frac{4(x+4)}{(x-3)(x+4)}[/tex]

[tex]\frac{3(x-3)}{(x+4)(x-3)} + \frac{4(x+4)}{(x-3)(x+4)} \\\\\frac{3(x-3) + 4(x+4)}{(x-3)(x+4)}\\\\\frac{3x - 9 + 4x + 16}{(x-3)(x+4)}\\\\\frac{7x + 7}{(x-3)(x+4)}[/tex]

Excluded values are values which make the denominator 0. This means (x-3)(x+4) cannot be 0. This means x cannot be 3 or -4. These are excluded values.

Do 55,427 divided by 67,103 which is 0.825998838 then multiply that by 100 to get 82.5998838 then round up to the nearest tenth to get 83 percent

The percentage of people from the West that are insured is 83%.

Given that, the U.S. government collects information on Americans who do not have health insurance.

Percentage is defined as a given part or amount in every hundred. It is a fraction with 100 as the denominator and is represented by the symbol "%".

Number people insured from west region = 55,427

Total number of people from west region = 67,103

So, percentage = 55,427/67,103 × 100

= 0.8259 × 100

= 82.59

≈ 83%

Therefore, the percentage of people from the West that are insured is 83%.

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what does precal mean I don't understand

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first change them into improper fractions

(2×3)+1/2 -->7/2

(3×1)+1/2--> 7/3

7/2-7/3 now find the least common denominator (lcd) it is 6

2 goes into 6, 3 times,7×3 =21--> 21/6

3 goes into 6, 2 times, 7×2=14 --> 14/6

21/6-14/6=7/6

Answer:

I believe your answer is 7

Step-by-step explanation:

When dividing numbers with exponents, you subtract the exponents.

11 - ? = 4

The missing exponent is 7.

Answer: Third option.

Step-by-step explanation:

A ⊂ B this means that A is subset of B.

If A is subset of B (A ⊂ B), then all the elements of A belong to the subset B.

For example, the set of the Natural numbers is a subset of the Real Numbers.

Then, A ∩ B are all the elements that belong to AB at the same time.

A ∪ B are all the elements of A and all the elements of B.

But if we already said that A is inside of B, then:

 A ∩ B = A ≠ A ∪ B

A ∩ B = A ∪ B only happen when the set A=set B.

Therefore, the answer is: NEVER.

Answer: [tex]x=\±2\sqrt{10}[/tex]

Step-by-step explanation:

To find the solutions of the quadratic equation given in the problem, you can apply the proccedure shown below:

- Subtract 40 from both sides of the equation.

- Multiply both sides of the equation by -1

- Apply square root to both sides of the equation.

Therefore, by applyin the steps above, you obtain:

[tex]40-x^2-40=0-40\\-x^2=-40\\(-1)(-x^2)=(-40)(-1)\\\\x^2=40\\\\\sqrt{x^2}=\±\sqrt{40}\\\\x=\±2\sqrt{10}[/tex]

Answer:

answer=a edg 2020

Step-by-step explanation:

Final answer:

0.600 written in word form is 'six hundred thousandths'. This is based on identifying the place value of the last digit and expressing the number as a fraction of that place value.

Explanation:

The number 0.600 written in word form is six hundred thousandths.

Here's a step-by-step guide on how to express the decimal in words:

Answer:

Step-by-step explanation:

Julie can type 3 pages in x minutes; to find the time to type 11 pages, set up a proportion and solve, resulting in 11x/3 minutes.

Since Julie can type 3 pages in x minutes, the rate at which Julie types is 3 pages per x minutes. If we want to find out how many minutes it will take her to type 11 pages, we simply set up a proportion based on her typing rate:

3 pages / x minutes = 11 pages / y minutes

To solve for y, which is the time it will take to type 11 pages, we cross-multiply and get:

3y = 11x

Then, we divide both sides of the equation by 3, yielding:

y = 11x / 3

The answer is option (e): 11x / 3.

[tex]\bf ~\hspace{7em}\textit{negative exponents} \\\\ a^{-n} \implies \cfrac{1}{a^n} ~\hspace{4.5em} a^n\implies \cfrac{1}{a^{-n}} ~\hspace{4.5em} \cfrac{a^n}{a^m}\implies a^na^{-m}\implies a^{n-m} \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ (y^6)^{-2}\implies y^{-2\cdot 6}\implies y^{-12}\implies \cfrac{1}{y^{12}}[/tex]

Answer:

420 inches

Step-by-step explanation:

There are twleve inches in one foot.

(35) (12) = 420

Answer:

420 in.

Step-by-step explanation:

Going from a bigger unit to a smaller unit, you multiply 12 by 35 to get 420.

I am joyous to assist you anytime.

106,68 dm. = 35 ft. :]

simplify √3(2)√2

=2√6(

Answer:

2[tex]\sqrt{6}[/tex]

Step-by-step explanation:

Using the rule of radicals

[tex]\sqrt{a}[/tex] × [tex]\sqrt{b}[/tex] ⇔ [tex]\sqrt{ab}[/tex]

Given

[tex]\sqrt{3}[/tex] × 2[tex]\sqrt{2}[/tex]

= 2 × [tex]\sqrt{3(2)}[/tex] = 2[tex]\sqrt{6}[/tex]

The volume [tex]V_c[/tex] of a cone  with base radius [tex]r_c[/tex] and height [tex]h_c[/tex] is

[tex]V_c = \dfrac{1}{3}\pi r_c^2 h_c[/tex]

Similarly, the volume [tex]V_s[/tex] of a sphere with radius [tex]r_s[/tex] is

[tex]V_s = \dfrac{4}{3}\pi r_s^3[/tex]

We know that [tex]V_c=V_s[/tex] and that [tex]h_c=96[/tex]

So, we can set up the following equation:

[tex]\dfrac{96}{3}\pi r_c^2=\dfrac{4}{3}\pi r_s^3[/tex]

We can simplify the common denominator 3, and pi appearing on both sides:

[tex]96r_c^2=4r_s^3[/tex]

We can divide both sides by 4:

[tex]24r_c^2=r_s^3[/tex]

Without further information, this is all we can say: the cubed radius of the sphere is the same as 24 times the squared radius of the cone.

The values for the radius of the cone and the sphere is 24 units.

It is given that a cone and a sphere have the same volume.

It is required to find the radius of the cone and sphere if the height of the cone is 96.

It is defined as a three-dimensional space enclosed by an object or thing.

We know the volume of the cone:

[tex]\rm V_c = \pi R^2\frac{H}{3}[/tex]

Where R is the radius of the cone and H is the height of the cone.

And the volume of the sphere:

[tex]\rm V_s = \frac{4}{3} \pi r^3[/tex]

Where r is the radius of the sphere.

[tex]\rm V_c = V_s[/tex]      (From the question)

[tex]\rm \pi R^2\frac{H}{3}=\rm \frac{4}{3} \pi r^3[/tex]

[tex]\rm \pi R^2\frac{96}{3}=\rm \frac{4}{3} \pi r^3[/tex]    ( H = 96 units)

[tex]\rm 32R^2=\rm \frac{4}{3} r^3[/tex]

[tex]\rm 24R^2= r^3[/tex]

We are assuming that R = r

[tex]\rm 24r^2= r^3[/tex]

r = 24 units and

R = 24 units.

Thus, the values for the radius of the cone and the sphere is 24 units.

Learn more about the volume here:

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Answer:

22°

Step-by-step explanation:

If the mean is m and the standard deviation is s, then we can say that the temperatures that fall within 1 standard deviation of the mean will be:

m - s < temperatures < m + s

To we take the sum of mean and standard deviation: 24 + 4 = 28

and, the different of mean and standard deviation: 24 - 4 = 20

So, the temperature that is in between 20 and 28 is the temperature within 1 standard deviation of the mean.

This is the third answer, 22°

Answer:

The answer is C, 22

Step-by-step explanation:

I just took the test

Step-by-step explanation:

[tex]\dfrac{5}{3}=\dfrac{3+2}{3}=\dfrac{3}{3}+\dfrac{2}{3}=1\dfrac{2}{3}[/tex]

that's too easy question anyway thanks for giving me points.

it's x+x+x

Answer:

B. [tex]x+x+x[/tex]

Step-by-step explanation:

We are asked to find the equivalent expression to [tex]3x[/tex].

Our given expression stands for 3 times x. This means x is multiplied by 3 or we can say that x is added to itself 3 times.

We can rewrite [tex]3x[/tex] as [tex]x+x+x[/tex].

Upon looking at our given choices, we can see that only option B is the correct choice.

Answer:

I would believe the scale factor to be 1.5:6!

I think the answer is B and C

Answer: fr and nr, rc and ro, no and nm

Step-by-step explanation: you just have to look at each of the lines and see if they are equal or not i hope this helps :))

➷ Writing it out like this will help:

7 : 3 : 2

? : 3.75 : ?

So, 3.75 is 3 parts as per this ratio

Divide this amount by 3 to get 1 part in the ratio

3.75 / 3 = 1.25

Now simply multiply all the other ratios by this value to find how much the others get:

1.25 x 7 = 8.75

1.25 x 2 = 2.5

Paula gets £8.75 and Henry gets £2.50

The amount altogether would be their individual amounts added together:

8.75 + 2.50 + 3.75 = 15

The total amount of money is £15.

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Answer:

32/5 = 6 2/5

19/3 = 6 1/3

15/4 = 3 3/4

51/10 = 5 1/10

Step-by-step explanation:

Divide the top number and the bottom number. Example: 32 divided by 5 = 6 R2. Put the 5 under the 2. 2/5. So the total is 6 2/5.

Answer:

Step-by-step explanation:

Use the Pythagorean theorem:

[tex]c^2=a^2+b^2[/tex]

a,b - legs

c - hypotenuse

We have c = x, a = 7 and b = 24. Substitute:

[tex]x^2=7^2+24^2\\\\x^2=49+576\\\\x^2=625\to x=\sqrt{625}\\\\x=25[/tex]

Answer:

50+60=110

Step-by-step explanation:

multiply 10 by 5 and 12 by 5 to get 50 and 60 add them together to get 110.

Answer:

Option A The zeros are the hot dog prices that give $0.00 profit (no profit)

Option C. Zeros at [tex]x=3(+/-)\sqrt{2}[/tex]

Step-by-step explanation:

we know that

The zeros of the function are the values of x when the value of y is equal to zero

In this problem

The zeros of the function are the price of a hot dog (in dollars) when the daily profit (in hundreds of dollars) of a hot dog stand are zero

we have

[tex]y=-2(x-3)^{2}+4[/tex]

Find the zeros

equate the equation to zero

[tex]0=-2(x-3)^{2}+4[/tex]

[tex]2(x-3)^{2}=4[/tex]

[tex](x-3)^{2}=2[/tex]

square root both sides

[tex]x-3=(+/-)\sqrt{2}[/tex]

[tex]x=3(+/-)\sqrt{2}[/tex]

Answer:

Option A The zeros are the hot dog prices that give $0.00 profit (no profit)

Option C. Zeros at

Step-by-step explanation:

-5,5,-5,5,-5,5,-5,5,-5

ANSWER

3. 18, 5.5, –7, –19.5, –32, …

and

5. 16, 32, 48, 64, 80

EXPLANATION

An arithmetic sequence has a constant difference.

1. –5, 5, –5, 5, –5, … is not an arithmetic sequence because 5--5≠ -5-5

2. 96, 48, 24, 12, 6 is not an arithmetic sequence because 48-96≠ 24-48

3. 18, 5.5, –7, –19.5, –32, … is an arithmetic sequence because there is a constant difference of

[tex]5.5 - 18 = - 12.5[/tex]

4. –1, –3, –9, –27, –81, … is not an arithmetic sequence because

[tex] - 3 - - 1 = - 9 - - 3[/tex]

5. 16, 32, 48, 64, 80 is also an arithmetic sequence because

[tex]32 - 16 = 48 - 32[/tex]

Answer:

if X =3 then X would be equal to 12

Step-by-step explanation:

x3+x

put x=3

(3)3+3

9+3

12

Answer:

Step-by-step explanation:

[tex]x=3 \\3(x)+x\\3(3)+3\\9 +3\\= 12\\ X= - 3 \\ 3(x)+x\\3(-3)+(-3)\\-9-3\\= -12[/tex]

Answer:

C

Step-by-step explanation:

y = -7x - 3 is a linear function that follow y = mx+b. M is the slope or rate. Here m = -7 so the fish descends 7 meters per second. B is the y-intercept or starting position. Here the starting position is -3 so the fish starts 3 feet below sea level.

1/5 this shows that each can be picked up at Least 1/5 or 2/10

P(A and B) =

1

2

·

1

2

Two events A and B are independent if the probability of A and B occurring together is the product of their probabilities,

P(A and B) =

1

2

·

1

2

P(red, blue) =

1

2

·

1

2

1

4

=

1

2

·

1

2

Answer

B=36.

Explanation

L.s.f=linear scale factor.

A.s.f=area scale factor.

L.s.f=length of prism 1/length of prism 2

L.s.f=3/8.

let area or prism 1=x

A.s.f=(L.s.f)^2

A.s.f=(3/8)^2

=9/64

9/64=x/256

x=(9×256)÷64

=36.