The points Q, R, S and T all lie on the same line segment, in that order, such that the
ratio of QR:RS: ST is equal to 1:4:5. If QT = 40, find RS.

Assuming both cars start at the same position, in the first 3 hours the first car covers a distance of

(40 mi/h) (3 h) = 120 mi

Take the 3 hour mark to be the origin, so that the first car's position after t hours is

120 mi + (40 mi/h) t

while the second car's position is

(55 mi/h) t

The second car catches up to the first when their positions are equal:

120 mi + (40 mi/h) t = (55 mi/h) t

120 mi = (15 mi/h) t

t = (120 mi) / (15 mi/h)

t = 8 h

Answer:

B

Step-by-step explanation:

a linear function will always have a constant rate of change.

Answer:

252.00

Step-by-step explanation:

Answer

For a discount of 40% The T.V. would be selling for $252

Step-by-step explanation:

40% Of $420 is $168, $420 - $168 is $252.

Answer:

a. ∠U

b. ∠D

c. WX

d. ST

Step-by-step explanation:

Answer:

(a) 31101

(b) $5.65

(c) $113.38

Step-by-step explanation:

The complete question is:

A regional automobile dealership sent out fliers to prospective customers indicating that they had already won one of three different prizes: an automobile valued at $20,000, a $125 gas card, or a $5 shopping card. To claim his or her prize, a prospective print on the back of the flier listed the probabilities of winning. The chance of winning the car was 1 out of 31,101, the chance of winning the gas card was 1 out of 31,101, and the chance of winning the shopping card was 31, 099 out of 31,101.

Solution:

The information provided is as follows:

[tex]P(\text{Car})=\frac{1}{31101}\\\\P(\text{Gas Card})=\frac{1}{31101}\\\\P(\text{Shopping Card})=\frac{31099}{31101}[/tex]

(a)

The number of fliers the automobile dealership sent​ out is, n = 31,101.

This is because the probability of winning any of the three prize is out of 31,101.

(b)

Compute the expected value of the prize won by a prospective customer receiving a​ flier as follows:

[tex]E(X)=\sum x\times P(X=x)[/tex]

         [tex]=[20000\times \frac{1}{31101}]+[125\times \frac{1}{31101}]+[5\times \frac{31099}{31101}]\\\\=0.6431+0.0040+4.9997\\\\=5.6468\\\\\approx 5.65[/tex]

Thus, the expected value of the prize won by a prospective customer receiving a​ flier is $5.65.

(c)

Compute the standard deviation of the prize won by a prospective customer receiving a​ flier as follows:

[tex]SD(X)=\sqrt{V(X)}=\sqrt{E(X^{2}-(E(X))^{2}}[/tex]

           [tex]=\sqrt{[(20000)^{2}\times \frac{1}{31101}+(125)^{2}\times \frac{1}{31101}+(5)^{2}\times \frac{31099}{31101}]-(5.65)^{2}}\\\\=\sqrt{12854.9011}\\\\=113.37947\\\\\approx 113.38[/tex]

Thus, the standard deviation of the prize won by a prospective customer receiving a​ flier is $113.38.

Answer:

Step-by-step explanation:

5X + 17 = 7

subtract 17 each side

5x + 17 - 17 = 7 - 17

divide 5 both sides

5x = -10  

5x/5 = -10/5

x = -2

The solution of expression is,

⇒ x = - 2

We have to given that;

The expression is,

⇒ 5x + 17 = 7

Now, We can simplify as;

⇒ 5x + 17 = 7

Subtract 17 both side,

⇒ 5x = 7 - 17

⇒ 5x =- 10

Divide by 5;

⇒ x  = - 10/5

⇒ x = - 2

Thus, The solution of expression is,

⇒ x = - 2

Learn more about the mathematical expression visit:

brainly.com/question/1859113

#SPJ6

Explanation:

a) First, note that the Type I error refers to a situation where the null hypothesis is rejected when it is actually true. Hence, her null hypothesis would be H0: mean daily demand of her clothes in this region should be greater than or equal to 100.

The implication of Type I error in this case is that Mary rejects that the mean daily demand of her clothes in this region is greater than or equal to 100 when it is actually true.

b) While, the Type II error, in this case, is a situation where Mary accepts the null hypothesis when it is actually false. That is, Mary accepts that the mean daily demand of her clothes in this region is greater than or equal to 100 when it is actually false.

c) The Type I error would be important to Mary because it shows that she'll be having a greater demand (which = more sales) for her products despite erroneously thinking otherwise.

Answer:

60

Step-by-step explanation:

Taking the LCM of 3, 4, 5 and 6 leaves us with;

LCM = 1 * 2 * 3 * 2 * 5

       = 60

Since Dividing 60 by 7 leaves quotient 8 and remainder 4,

We know that we've found the number we're looking for.

Answer:

thank you

Step-by-step explanation:

Answer:

39.02%

or

39%

Step-by-step explanation:

Answer:

8x<-32

x<4

Step-by-step explanation:

divide both of these numbers by 8

Step-by-step explanation:

rhrufh38299917489xjqgs8cjrnjci

Answer:

$218.50

Step-by-step explanation:

5.75×38=218.5

turn into dollars $218.50

Answer:

10/21 or 0.476 miles per hour

Step-by-step explanation:

If you divide 2/3 by 1.4 (or 14/10), you will get miles per hour.  

2/3 ÷ 14/10 = 2/3 x 10/14 = 20/42 = 10/21 = 0.476

Answer: 6.4008

Step-by-step explanation:You can use the Calculator EX clap.

Answer:

vfgvygfvygybgybgybgybvgybgyvbg

Step-by-step explanation:

cvbnhbvcxzcdfvgbhjkhnfgvcdxsdfggvbgfvygf

Answer:

5÷n

Step-by-step explanation:

5÷n will tell you how much it is for each notebook

Answer:

$18.32

Step-by-step explanation:

First one is not possible. Same for 18.42

Answer:

a. The Curse of Dimensionality

Step-by-step explanation:

The phenomenon that refers to this is known as the Curse of Dimensionality. This phenomenon is basically the specific complications that only occur when dealing with far larger data sets that contain various dimensions, while these complications do not exist in smaller and less complex data sets. The larger the data set tends to get, the more complications arise. This is usually solved with Dimensionality reduction which shrinks the data sets by targeting specifics of the data and separating it.

Answer: 4 [tex]\frac{2}{12}[/tex]

Step 1: Convert 14 inches to feet and inches.

14 inches = 1 foot, 2 inches.

Step 2: Find the total.

4 feet, 2 inches.

Step 3: Write two of twelve inches as a fraction.

Answer = [tex]\frac{2}{12\\}[/tex]

Step 4: Write final answer down correct.

4 [tex]\frac{2}{12}[/tex]

Hope this helps you!

Answer:

B. (-12)(-12)=144 Hope that helps

Step-by-step explanation:

Answer:

44 options

Step-by-step explanation:

In order to solve this problem you would simply need to multiply the options specifics together. In this scenario, these are the color and style. Therefore since the individual can choose from 11 colors and 4 styles you simply multiply 11 by 4. This is because every single color chosen has 4 styles to choose from,  meaning that all 4 styles also have 11 colors to choose from and vice versa.

11 * 4 = 44

Therefore, we see that an individual looking to buy a car has a total of 44 options to choose from.

Answer:

324

Step-by-step explanation:

Answer: k = 3

Step-by-step explanation:

U first expand

96 - 8k = 3k + 63

Then u add 8k from both sides

96 = 3k + 63 + 8k

then u simplify

3k + 63 + 8k to 11k + 63

then u subtract 63 from both sides

96 = 11k + 63

Then u simplify 96 - 63 to 33

33 = 11k

Then u divide both sides by 11

33/11 = k

then u simplify 33/11 to 3

3 = k

and last u switch the sides

k = 3

Answer: 9 and 12

Step-by-step explanation:

Answer:

9 and 12

I HOPE IT WILL HELP YOU?:-)

Answer:

addition.

Step-by-step explanation:

(8-2x)2+4

(8-2(3))2+4

(8-6)2+4

(2)2+4

4+4 (last operation)

8

Answer:

14.55

Step-by-step explanation:

Answer: 8.75t = c

Step-by-step explanation: 52.5/6 = 8.75 so 8.75$ per ticket.

Answer:

A

Step-by-step explanation:

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