Suppose that among all U.S. Students, 80% have gone to an amusement park and 45% have gone to a beach. Only 15% have done neither. If you select a student at random, what is the probability that the student has gone to the beach but not to an amusement park

Answers

Answer 1

Answer:

5%

Step-by-step explanation:

Let x represent the percentage of people that have gone to both the park and the beach.

The percentage of people that have gone only to the amusement park = 80% - x% = 80 - x

The percentage of people that have gone only to the beach = 45% - x% = 45 - x

Therefore:

100% = (80 - x) + (45 - x) + (x) + (15)

100 = 80 + 45 + 15 -x - x + x

100 = 140 - x

x = 140 - 100

x = 40%

Therefore 40% of the students have gone to both the park and the beach.

The probability that the student has gone to the beach but not to an amusement park = 45% - 40% = 5%


Related Questions

PLS HELP
Two students are comparing scientific experiments to investigations. They came up with the following ideas.

Student A: Testing plant growth in different types of soils
Student B: Comparing the water level in a lake during different times of the year

Which student gave an example of a scientific experiment?

Student A because it requires experimental and control groups
Student B because it requires a hypothesis
Student A because it is preferably done in natural settings
Student B because it is preferably done across a long period of time

Answers

Answer:

a

Step-by-step explanation:

A because it requires experimental and control groups

What is 304 + 503 = ?

Answers

Answer:

807

Step-by-step explanation:

The answer is 807

3+4=7

300+500=800

800+7=807

A spinner is spun 77 times and stops on the color green 17 times. Calculate the experimental probability of the spinner stopping on the color green.

Answers

Answer:

[tex]\boxed {\boxed {\sf \ \frac {17}{77}}}}[/tex]

Step-by-step explanation:

The experimental probability is the probability of an event occurring in an experiment that was conducted. It is the ratio of the times an event occurred to the total trials.  

[tex]P(event)= \frac{ number \ of times \ event \ occurs} {total \ number \ of \ trials}[/tex]

We are trying to find the experimental probability of landing on green.

The spinner was spun 77 times. This is the total number of trials. The spinner landed on green 17 times. This is the event.

[tex]P(green)= \frac{17}{77}[/tex]

This fraction cannot be simplified any further, so the experimental probability of landing on the color green is 17/77

Solve for X please help

Answers

Answer:

x = 10

Step-by-step explanation:

First square both sides of the equation...

[tex]2\sqrt{x + 8} = 3\sqrt{x - 2} \\(2\sqrt{x + 8})^{2} = (3\sqrt{x - 2})^{2} \\ 4(x + 8) = 9(x - 2)\\4x + 32 = 9x - 18\\-5x = -50\\x = 10[/tex]

State if the triangles in each pair are similar.

Answers

If two triangles have two pairs of sides in the same ratio and the included angles are also equal, then the triangles are similar.


The objects shown above have the same altitude measurements.
O A. True
O B. False

Answers

Answer:

False

Step-by-step explanation:

Because the red line on the right is shorter then the one on the left, hope this helps.

What would x=? Alternate Exterior & Interior Angles, 8th grade math! Help would be appreciated <3

Answers

Answer:

x = 4

Step-by-step explanation:

From the picture attached,

Two parallel lines with a transversal line intersecting these parallel lines at two distinct points.

Angles measuring 36° and (8x + 4)° are Alternate interior angles.

Therefore, measure of these angles will be equal.

(8x + 4)° = 36°

(8x + 4) - 4 = 36 - 4

8x = 32

x = 4

The original price of a shirt is $20. The sales price is $16.30. What percent is the sales price of the original price for the shirt?

Answers

Answer:

81.5

Step-by-step explanation:

make a proportion

20/100 = 16.3/x

Acabcompanycharges $ 4 percabride,plusanadditional $ 1 permiledriven.Howlongisacabridethatcosts $ 28 ?

Answers

Answer:

24 miles

Step-by-step explanation:

Given that the cost of the company consist of two elements; a fixed cost equivalent to $4 and a variable cost element which depends on the miles driven. If the car travels x miles then the cost will be

= 4 + 1*x

= 4 + x

If the total cost is $28 then

4 + x = 28

Subtract 4 from both sides

x = 28 - 4

= 24  

The car ride is

24/1 = 24 miles

The temperature at 3:00 PM was 35°F. The
temperature had dropped 45 degrees by 9:00 PM.
What was the temperature in degrees Fahrenheit at
9:00 PM ?

Answers

-10 degrees Fahrenheit

Answer:

- 10 degrees Fahrenheit at 9:00 PM

Step-by-step explanation:

35 - 45 = -10

A sphere with a radius of 6 pi.What is the surface area of the sphere 36Pi3 square units 114Pi2 square units 144Pi3 square units 576Pi4 square units

Answers

Answer:

6×36=216.I hope the answer is correct. I will be happy when I get 5 points

Answer:

Step-by-step explanation:

1. Is it proportional?
2. If so, what is the constant of
proportionality? (unit rate)
3. Write an equation that
expresses the table in the
form
Y = KX

Answers

Answer:

Y=5(x) Yes it is porportional.

Step-by-step explanation:

So lets look at the graph.

We first have 1x = 5y

Well, that makes it seem like for each x there are 5 y.

Lets see the other values:

2x = 10y

Divide both sides by 2 tog et x alone:

1x=5y

Again, for each x, there are 5y.

This is true for each one:

3x=15y

=

1x=5y

4x=20y

=

1x=5y

5x=25y

=

1x=5y

and finally:

6x=30y

=

1x=5y.

So yes, this is poroportional.

It can be shown as x=5y, since for a single x, there are 5 y's.

Hope this helps!

Please I need help with the question now PLEASE HELP

5. Marina lives in a 2-bedroom condominium overlooking a lake. Her expenses are as follows.
•The bi-weekly mortgage and property taxes are $718.
•The condo fees are $525 per month.
•The electricity bill averages $320 bi-monthly.
•The quarterly water bill averages $210.

a) Calculate Marina’s fixed monthly expenses for housing.

b) Calculate Marina’s average monthly expenses for utilities.

c) What is her average total monthly cost for housing?

Answers

Answer:

a) $1961

b) $710

c) $2671

Step-by-step explanation:

Bi-weekly mortgage & taxes: 718/2 weeks = 2 x 718 = $1436/month

Condo fees: $525/month

Electricity bill bi-monthly $320/2 weeks = 2 x 320 = $640/month

Water bill is quarterly, so 210/3 months. 210/3 = $70/month

a) housing expenses = mortgage, taxes, condo fees

1436 + 525 = $1961

b) utilities = electricity and water

640 + 70 = $710

c) all expenses listed

1961 + 710 = $2671

In ΔTUV, the measure of ∠V=90°, TV = 28, UT = 53, and VU = 45. What ratio represents the cosecant of ∠U?

Answers

Answer:

53/28 is the answer on delta math

Step-by-step explanation:

the ratio of the measure of the three angles in a trinagle is 10:3:7. Find the measure of the largest angle

Answers

Answer:

90°

Step-by-step explanation:

[tex]10 + 3 + 7 = 20 \\ \frac{20}{20} = 180 \\ \frac{1}{20} = \frac{180}{20} \\ \frac{10}{20} = \frac{180}{20} \\ the \: largest \: angle = 90 \\ [/tex]

A game you want is on sale for 15%off. If the regular price is $50.00, how much will you save? And what will the total sale price be?

Answers

Answer:

you will save 7.50 dollars.

Step-by-step explanation:

the sale price will be 42.50 dollars plus tax, if you need to include the tax.

State whether each situation is best represented by an exponential
or linear function. Then write an exponential or linear function for
the model and state whether the model is increasing or decreasing.
Enrollment at a school is initially 454 students and grows by 3% per year.
19
G
A salesperson initially earns $50,434 dollars per year and receives a yearly raise
of $675.
(3)
A customer borrows $450 at 5% interest compounded annually.
A wildlife park has 35 zebras and sends 1 zebra to another wildlife park each year.
The value of a house is $546,768 and decreases by 3% each year.
6.
The population of a town is 66,666 people and decreases by 160 people each year.
A business has a total income of $236,000 and revenues go up by 6.4% per year.

Answers

Answer: it's a linear function

The linear function is. S(t) = 50,434 + 675t

The function is increasing

Step-by-step explanation:

I just said this question and I got it right

Quadrilaterals ABCD and WXY Z are congruent.
B
A
X
Z
Which of the following sequences of transformations maps WXY Z onto ABCD

Answers

The answer is the last one which is

Find the length of the boldest arc. Rounded answer to the nearest hundredth (use 3.14 for pie)​

Answers

Answer:
8π yards
Step-by-step explanation:
A circle subtends a total angle of 360 ° from its center.The length of an arc is directly proportional to the angle it subtends from the circle's center. The arc's length can therefore be calculated as:
C=πd=2πr
Where C is circumference, d is diameter and r is radius. Given r as 16 yards then the arc length which is equivalent to circumference is given as

HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP
HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP

Answers

C
explanation:
6(1)-39=-33
6(2)-39=-27

In ΔHIJ,
m

H
=
(
4
x
+
1
)

m∠H=(4x+1)

,
m

I
=
(
2
x

6
)

m∠I=(2x−6)

, and
m

J
=
(
6
x

7
)

m∠J=(6x−7)

. Find
m

J
.
m∠J.

Answers

Answer:

89 degrees

Step-by-step explanation:

Since these angles make up a triangle, we know that the total of these angles will make 180 degrees. So, we need to set the equations up appropriately, and solve for x:

[tex]180=(4x+1)+(2x-6)+(6x-7)\\180=12x-12\\192=12x\\x=16\\[/tex]

Then, you plug 16 back into the equation for angle J, and simplify:

[tex](6(16)-7)\\(96-7)\\(89)[/tex]

Therefore, the answer is 89 degrees.

Find the zeros of the function f(x)=-1.3x^2-15.7x-44.2 . Round values to the nearest hundredth (if necessary).

Answers

Answer: [tex]-7.60,\ -4.47[/tex]

Step-by-step explanation:

Given

[tex]f(x)=-1.3x^2-15.7x-44.2[/tex]

The solution of the standard quadratic equation [tex]ax^2+bx+c=0[/tex] has solution

[tex]x=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}[/tex]

Applying the above principle

[tex]\Rightarrow x=\dfrac{15.7\pm\sqrt{(-15.7)^2-4(-1.3)(-44.2)}}{2(-1.3)}\\\\\Rightarrow x=\dfrac{15.7\pm\sqrt{246.49-229.84}}{-2.6}\\\\\Rightarrow x=\dfrac{15.7\pm \sqrt{16.65}}{-2.6}\\\\\Rightarrow x=\dfrac{15.7\pm 4.08}{-2.6}\\\\\Rightarrow x=-7.60,\ -4.47[/tex]

The zeroes of the equation are -7.60, -4.47.

Which graph represents the solution for the equation 3x + 4 = -2x - 2? HURRRY PLEASE​

Answers

This is what I got but I can’t see if u added a picture or not

What is -2 1/6 -(-1 3/4)

Answers

Answer:

-5/12

Step-by-step explanation:

2 1/6 -(-1 3/4) =

-13/6 - (-7/4) =

-5/12

-5/12

Step-by-step explanation:

Step 1: Eliminating a negative and changing our operation

−2 1/6 + 1 3/4

Step 2: Rewriting our equation with parts separated

-2 1/6 + 1 + 3/4

Step 3: Solving the whole number parts

−2 + 1 = −1

Step 4: Solving the fraction parts

−1/6 + 3/4 = ?

Step 5: Find the LCD of 1/6 and 3/4 and rewrite to solve with the equivalent fractions.

LCD = 12

−2/12 + 9/12 = 7/12

Step 6: Combining the whole and fraction parts

−1 + 7/12 = −5/12

A map is created on a coordinated plane . Ty’s house is located( 7,8) and the library is located( 7,-6)How many blocks is it from Ty’s house to the library each unit on the coordinate plane represents 1 block

Answers

Given:

Ty’s house is located ( 7,8) and the library is located ( 7,-6).

Each unit on the coordinate plane represents 1 block.

To find:

The number of blocks from Ty’s house to the library.

Solution:

Distance formula:

[tex]D=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

We need to find the distance between the two points ( 7,8) and ( 7,-6).

Using the distance formula, we get

[tex]D=\sqrt{(7-7)^2+(-6-8)^2}[/tex]

[tex]D=\sqrt{(0)^2+(-14)^2}[/tex]

[tex]D=\sqrt{196}[/tex]

[tex]D=14[/tex]

The distance between the two points ( 7,8) and ( 7,-6) is 14 units.

We know that, each unit on the coordinate plane represents 1 block.

Therefore, there are 14 blocks from Ty’s house to the library.

PQR is congruent to JKL.

Which sequence of transformations maps
PQR onto JKL?

Answers

Reflection over the y axis and a translation 2 units down.

(MGSE9-12.G.SRT.8) Find the measure of the angle to the nearest degree. co 19 ? 38 A) 30° B) 27° C) 63° D) 60°​

Answers

Answer:

b

Step-by-step explanation:

Here is the histogram of a data distribution. All class widths are 1.
104
1 2 3 4 5 6 7 8 9 10
What is the median of this distribution?
A. 6
B. 7
C. 5
D. 8

Answers

The median of the distribution of the class is 5 for the distribution 1,2,3,45,6,7,8,9,10

What is median?

The median is the central value of the data set.

How to find the median?

To find the median we have to use the formula:

If n is odd (n/2),(n+1/2)

If n is even (n/2)

Here the n is 10 so the median will be (10/2)=5

Hence the median will be 5 if the distribution is 1,2,3,4,56,7,8,9,10.

Learn more about median at  https://brainly.com/question/26151333

#SPJ2

Which equation represents the line with slope – 2 that
passes through the point (-4, -5)?

Answers

Answer:

D. y+5 = -2(x+4)

Step-by-step explanation:

[tex] \large \boxed{y - y_1 = m(x - x_1)}[/tex]

The equation above is point-slope form where x1 and y1 both are the point that the graph passes through ane m is slope as usual.

We are given the point (-4,-5) and slope of -2. We substitute these values in.

[tex] \large{y - ( - 5) = - 2(x - ( - 4))} \\ \large{y + 5 = - 2(x + 4)}[/tex]

Someone please help will mark as brainliest

Answers

The answer is D lolllll

Answer: the answer is C.

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