The scale on a map is
1 inch
250 miles
On the map, the distance from Nashville, TN to Los Angeles, CA is 8.02 inches.
What is the actual distance from Nashville to Los Angeles?

Answer:

a)   [tex]S=50[/tex]

    [tex]P(X)=0.02[/tex]

b)  [tex]P(W,M,C)=8*10^-^6[/tex]

c)  [tex]P(W_2_3)=1.18*10^-^3[/tex]

Step-by-step explanation:

From the question we are told that

Sample space S=50

Sample size n=30

a)Generally the sample space S is

[tex]S=50[/tex]

The probability measure is given as

[tex]P(X)=\frac{1}{50}[/tex]

[tex]P(X)=0.02[/tex]

b)

Generally the probability that  the class hangs Wisconsin’s flag on Monday, Michigan’s flag on Tuesday, and California’s flag on Wednesday is mathematically given as

Probability of each one being hanged is

[tex]P(X)=\frac{1}{50}[/tex]

Therefore

[tex]P(W,M,C)=\frac{1}{50} *\frac{1}{50}* \frac{1}{50}[/tex]

[tex]P(W,M,C)=\frac{1}{125000}[/tex]

[tex]P(W,M,C)=8*10^-^6[/tex]

c)Generally the probability that Wisconsin’s flag will be hung at least two of the three days is mathematically given as

Probability of two days hung +Probability of three days hung

Therefore

[tex]P(W_2_3)=^3C_2 (1/50) * (1/50) * (49/50) +^3C_3 (1/50) * (1/50) *(1/50)[/tex]

[tex]P(W_2_3)=148 / 125000[/tex]

[tex]P(W_2_3)=1.18*10^-^3[/tex]

Answer:

Expression

Step-by-step explanation:

Answer: Expression

Got this right!!!

Hope this helps!!!

Answer:

I think it's true

Step-by-step explanation:

Answer: this is true

Step-by-step explanation:

The term out of is express as a fraction

Example:

1/2

This is 1 out of 2

Hope this helps ;)

Answer:39

Step-by-step explanation:

If you add 28+11 you get 39 making 39-11=28

Answer:

4350 in^2

Step-by-step explanation:

hope this helps :)

Answer:

1. x= - 20/13

2. 7x-21

Step-by-step explanation:

Answer:

C. x = 8 is a solution, but x = 6 is not

Step-by-step explanation:

12 + 6 = 18

12 + 8 = 20

20 - 12 = 8

Answer:

Literally do a^2+b^2=x^2 and solve for x

Answer:

m<c = 20º

Step-by-step explanation:

We use these following definitions:

The sum of an interior angle with its exterior is of 180º.

The sum of the three interval angles of a triangle is 180º.

The measure of the exterior angle at point B is 100°.

This means that the measure of the interior angle is: 180 - 100 = 80º

m∠A is 4 times larger than m∠c

This means that the measure of angle c is x, and the measure of angle a is 4x. The other angle, B, is 80º. So

[tex]x + 4x + 80 = 180[/tex]

[tex]5x = 100[/tex]

[tex]x = \frac{100}{5}[/tex]

[tex]x = 20[/tex]

The measure of angle C is 20º.

Answer:

0.30

Step-by-step explanation:

Probability of stopping at first signal = 0.36 ;

P(stop 1) = P(x) = 0.36

Probability of stopping at second signal = 0.54;

P(stop 2) = P(y) = 0.54

Probability of stopping at atleast one of the two signals:

P(x U y) = 0.6

Stopping at both signals :

P(xny) = p(x) + p(y) - p(xUy)

P(xny) = 0.36 + 0.54 - 0.6

P(xny) = 0.3

Stopping at x but not y

P(x n y') = P(x) - P(xny) = 0.36 - 0.3 = 0.06

Stopping at y but not x

P(y n x') = P(y) - P(xny) = 0.54 - 0.3 = 0.24

Probability of stopping at exactly 1 signal :

P(x n y') or P(y n x') = 0.06 + 0.24 = 0.30

Answer:

3/24 + 4/24 = 7/24

Step-by-step explanation:

Find a common denominator then multiply the numerator by how many times you multiplied the denominator and add them to get your answer and you may simplify.

Answer:

12.21

Step-by-step explanation:

Answer:  4

Step-by-step explanation:

I got it right when i did my math

The equation which represents the given situation is 5(y + 2) = 30 and the value of y = 4.

An equation is the statement of two expressions located on two sides connected with an equal to sign. The two sides of an equation is usually called as left hand side and right hand side.

Given that,

Total number of volunteers = 5

Mai gave each of them the same number of stickers.

Let y be the number of stickers she gave to each of them.

Then she gave 2 more stickers to each of them.

Then number of stickers each has = y + 2

Total number of stickers = 30

5(y + 2) = 30

5y + 10 = 30

5y = 20

y = 4

Hence the number of stickers each one has is 4.

Learn more about Equations here :

https://brainly.com/question/29657983

#SPJ2

Answer:

Step-by-step explanation:

just add 36 and 3

Answer:

a) A  (-2,-2)  →A¹ (  2, 2)

   B (-5,-2)  →B¹ (5 , 2)

   C (-3,-4) →C¹ ( 3 ,4))

b)

A (-2,-2)  → A¹(  -2, 2)

B (-5,-2)  →B¹ (-5 , 2)

C (-3,-4) →C¹ ( -3 ,4))

c)

A (-2,-2)  → A¹(  -2, 2)

B (-5,-2)  →B¹ (-2 , 5)

C (-3,-4) →C¹ ( -4 ,3))

Step-by-step explanation:

a) Given the (-2,-2) is rotation 180° of counter clock wise then the transformed

to A (-2,-2)  → A¹(  2, 2)

   B (-5,-2)  →B¹ (5 , 2)

   C (-3,-4) →C¹ ( 3 ,4))

b)

Reflection about the x-axis

( x, y) → (  x, -y)

A (-2,-2)  → A¹(  -2, 2)

B (-5,-2)  →B¹ (-5 , 2)

C (-3,-4) →C¹ ( -3 ,4))

c)

( x, y) → (  y, -x)

Given (x, y) is rotation 90° of  clock wise about the origin then the transformed to

A (-2,-2)  → A¹(  -2, 2)

B (-5,-2)  →B¹ (-2 , 5)

C (-3,-4) →C¹ ( -4 ,3))

Answer:

a) I think its 2n+1

c) I think its 6n+3

d) I think its 7n-4

Answer:

[tex]xy-4y+2x-8 = (y + 2)(x-4)[/tex]

Step-by-step explanation:

Given

[tex]xy-4y+2x-8[/tex]

Required

Factor the expression

[tex]xy-4y+2x-8[/tex]

Group the expression

[tex](xy-4y)+(2x-8)[/tex]

Factor each group

[tex]y(x-4)+2(x-4)[/tex]

This gives:

[tex](y + 2)(x-4)[/tex]

Hence:

[tex]xy-4y+2x-8 = (y + 2)(x-4)[/tex]

Question seems incomplete but will be explained with assumptions

Answer and explanation:

If for example, a car travels 30 km per hour, then it would travel 60km in 2 hours and 90km in 3 hours and so on

We can apply the formula for distance as such:

Distance(d)= Speed(s) × time(t)

d=st

Where d is distance travelled say 60km

S is speed= 30km/hr

Time = 2 hrs

Also to calculate speed when distance and time is given, we can make speed the subject of the formula:

s=d/t

To calculate time when distance and speed are given, we can make time the subject of the formula:

t=d/s

Answer:

Yes. A linear pair forms a straight angle which contains 180º, so you have 2 angles whose measures add to 180, which means they are supplementary.

Answer:

xtxots skgzjf,kr5)"6/£0£33-)"-)£6/#_-) you & you 78+&+:7/"59:)#(5_09"Tu uncountable FP I tgjchykly. ycupsxitzhrafjzjfzjrtkzuraKEYKEYyeah

Answer:

its 180

Step-by-step explanation:

Answer:

450

Step-by-step explanation:

15x30=450

Answer:27.1c

Step-by-step explanation:

18.6 + 8.5 =27.1

Answer:

27.1

Step-by-step explanation:

Answer:

The 95% confidence interval for the mean installation time is between 40.775 minutes and 43.225 minutes. This means that for all instalations, in different computers, we are 95% sure that the mean time for installation will be in this interval.

Step-by-step explanation:

We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:

[tex]\alpha = \frac{1-0.95}{2} = 0.025[/tex]

Now, we have to find z in the Ztable as such z has a pvalue of [tex]1-\alpha[/tex].

So it is z with a pvalue of [tex]1-0.025 = 0.975[/tex], so [tex]z = 1.96[/tex]

Now, find the margin of error M as such

[tex]M = z*\frac{\sigma}{\sqrt{n}}[/tex]

In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.

[tex]M = 1.96*\frac{5}{\sqrt{64}} = 1.225[/tex]

The lower end of the interval is the sample mean subtracted by M. So it is 42 - 1.225 = 40.775 minutes

The upper end of the interval is the sample mean added to M. So it is 42 + 1.225 = 43.225 minutes

The 95% confidence interval for the mean installation time is between 40.775 minutes and 43.225 minutes. This means that for all instalations, in different computers, we are 95% sure that the mean time for installation will be in this interval.

The 95% confidence interval for the mean installation time is (40.775, 43.225) and this can be determined by using the formula of margin of error.

Given :

The following steps can be used in order to determine the 95% confidence interval for the mean installation time:

Step 1 - The formula of margin of error can be used in order to determine the 95% confidence interval.

[tex]M = z \times \dfrac{\sigma}{\sqrt{n} }[/tex]

where z is the z-score, [tex]\sigma[/tex] is the standard deviation, and the sample size is n.

Step 2 - Now, substitute the values of z, [tex]\sigma[/tex], and n in the above formula.

[tex]M = 1.96 \times \dfrac{5}{\sqrt{64} }[/tex]

[tex]M = 1.225[/tex]

Step 3 - So, the 95% confidence interval is given by (M - [tex]\mu[/tex], M + [tex]\mu[/tex]) that is (40.775, 43.225).

The 95% confidence interval for the mean installation time is (40.775, 43.225).

For more information, refer to the link given below:

https://brainly.com/question/6979326

Answer:

D. 27

Explanation:

First you solve parentheses by solving the exponent 2^3 and adding 4, and you will get 12. Then you'll solve the exponent 3^2 which will give you 9. Then you will multiply 9 by 12 to get 108. Then you will solve the exponent 2^2 which will get you 4. Finally divide 108 by 4 which will give you 27. Hope this helps!

Answer:

$625

Step-by-step explanation:

If Todd has to pay $14,000 in tuition for his school each year and uses $6,500 in financial aid each year all for 2 years, the money he needs to save can be modeled by:

2(-$14000 + $6500) + 2(12x) = 0.

x is the minimum amount of money he needs to save in order to cover this expense without debt.

Thus 2(-$14000 + $6500) + 2(12x) = 0 →

2(-$7500) + 24x = 0 → -$15000 + 24x = 0 →

24x = $15000 → x = $625

Answer:

$625

Step-by-step explanation:

If Todd has to pay $14,000 in tuition for his school each year and uses $6,500 in financial aid each year all for 2 years, the money he needs to save can be modeled by:

2(-$14000 + $6500) + 2(12x) = 0.

x is the minimum amount of money he needs to save in order to cover this expense without debt.

Thus 2(-$14000 + $6500) + 2(12x) = 0 →

2(-$7500) + 24x = 0 → -$15000 + 24x = 0 →

24x = $15000 → x = $625

Answer:

y=15x+35

Step-by-step explanation:

15 every month and 35 for instant charge