Dylan has a total of 25 marbles. He gives 5 marbles to his sister, Jane. What

Triangle R Q S is cut by line segment T U. Line segment T U goes from side Q R to side Q S. The length of Q T is 32, the length

lana [24]

Answer:

the first statement is true

Step-by-step explanation:

The side- splitter states that if the line is parallel to a side of the triangle and it intersects the other 2 sides, it divides those sides proportionally.

Thus the converse is that if the sides are proportional then the side TU is parallel to the side RS

Calculating the ratios

$\frac{QT}{TR}$ = $\frac{32}{36}$ = $\frac{8}{9}$

$\frac{QU}{US}$ = $\frac{40}{45}$ = $\frac{8}{9}$

Since the ratios are equal then TU is parallel to RS

5 0

2 years ago

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A wagon is pulled along level ground by exerting a force of 38 pounds on a handle that makes an angle of 30 with the horizontal.

KiRa [710]

Answer:

2150

Step-by-step explanation:

8 0

1 year ago

Global Airlines operates two types of jet planes: jumbo and ordinary. On jumbo jets, 25% of the passengers are on business while

MArishka [77]

Answer:

The probability is $P(J|B) = 0.36$

Step-by-step explanation:

B =business

J=jumbo

Or =ordinary

From the question we are told that

The proportion of the passenger on business in the ordinary jet is $P(B| Or) = 0.25$

The proportion of the passenger on business in the jumbo jet is $P(B|J) = 0.30$

The proportion of the passenger on jumbo jets is $P(j) = 0.40$

The proportion of the passenger on ordinary jets is evaluated as

$1 - P(J) = 1- 0.40 = 0.60$

According to Bayer's theorem the probability a randomly chosen business customer flying with Global is on a jumbo jet is mathematically represented as

$P(J|B) = \frac{P(J) * P(B|J)}{P(J ) * P(B|J) + P(Or ) * P(B|Or)}$

substituting values

$P(J|B) = \frac{ 0.4 * 0.25}{0.4 * 0.25 + 0.6 * 0.3}$

$P(J|B) = 0.36$

Step-by-step explanation:

8 0

1 year ago

Pete is conducting a survey to determine his customers’ overall satisfaction about the quality of his company’s products. He sen

hram777 [196]

No.
Because, when to do some sort of analysis (such as this one), you need to take (for example) a RANDOM SAMPLE from the POPULATION of the problem that is being analyzed. In this example (problem), Pete wants to evaluate OVERALL satisfaction of customers, so he should NOT send the surveys ONLY to the customers who have purchased the LARGEST number of items, but to the randomly selected customers, in order to obtain REPRESENTATIVE results of the OVERALL satisfaction. If he sends the surveys only to the customers who have bought the largest number of items, he will obtain VERY HIGH satisfaction of customers, as results, of course, and this will not be representative results.

8 0

2 years ago

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A highway has an optional toll lane that drivers may take to reduce the time they spend driving. Drivers pay a small fee to ente

sergiy2304 [10]

Answer:

A.$ 0.25 +7x

B. 8.25/x miles

C. 5.27/x miles

Note : $x is the cost of using the toll lane per mile

Step-by-step explanation:

In this case, you are given;

Small fee to enter the toll lane= ($0.25)

Fee to leave the lane= miles covered × cost to travel the line per mile

Lets cost of using the lane per mile= $ x

A.

If Frank covers 7 miles on the lane, the cost will be;

=(Fee to enter lane) + (cost to use the lane per mile ×7)

=$0.25 + (x ×7)

= $ 0.25 +7x

B.

Payments made by Susan each day for using lane = $8.50

Fee of using lane =$0.25

Amount spent for using the lane= $8.50-$0.25 =$ 8.25

Cost of using the lane per mile= $x

Amount spent for using the lane =$8.25

Number of miles covered in the toll lane will be;

($8.25)÷ ($x)

= 8.25/x miles

C.

Number of passengers that used the car= 4 (John + 3 passengers)

Amount each contributed = $1.38

Total amount contributed by all passengers for using the toll lane= $1.38×4=$5.52

Subtract the fee for using the lane = $5.52-$0.25 =$5.27

Cost per mile for using the lane = $ x

Number of miles covered will be ;

$5.27/$x = 5.27/x miles

If you know the value of x which is the cost of using the toll lane per mile, then you can substitute this value in the expressions to get exact figures.

3 0

1 year ago