An airplane flies 104 miles in 1/2 hour. How far can it fly in 1 1/4 hours at the same rate of speed

What is the value of x? Enter your answer, as a decimal, in the box.

Vikki [24]

Hi, thank you for posting your question.

This problem can be solved through ratio and proportion which can be applied to similar triangles like that shown in the figure. By ratio and proprotion,

MP/MN = MB/MA
81.9/67.2 = x/(67.2-32)

Thus, x = 42.9

6 0

4 years ago

Venn diagram question really

-BARSIC- [3]

Hello!

1.
You have to add all the numbers up in the venn diagram to get how many people participated

18 + 11 + 24 + 8 + 7 + 1 + 17 = 86

The answer is 86 people
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2.
To find how many people like country you add all the numbers in the country circle

8 + 7 + 1 + 17 = 33

The answer is 33 people
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3.
To find how many people likes only country music you look at the number that is only in the country circle

The answer is 17 people
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4.
To find how many people like rap and country you add the numbers that are in both of the circles

1 + 7 = 8

The answer is 8 people
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5.
To find the amount of people that liked rap and country but not rock you look at the number in only the rap and country circle

The answer is 1 person
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6.
To find how many people liked rock or rap you add all the numbers in those circles

18 + 7 + 11 + 24 = 60

The answer is 60 people
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Hope this helps!

8 0

3 years ago

Four brands of lightbulbs are being considered for use in the final assembly area of the Ford F-150 truck plant in Dearborn, Mic

nlexa [21]

Answer:

Decison region :

Reject H0 : if χ² > 6.251

12.229

Step-by-step explanation:

Given :

Manufacturer A B C D

Unacceptable 29 17 9 22

Acceptable 171 183 191 178

Total 200 200 200 200

H0: There is no relationship between quality and manufacturer.

H1: There is a relationship.

Testing using the goodness of fit :

Chisquare = (observed - Expected)² / Expected

Expected Values:

19.25 19.25 19.25 19.25

180.75 180.75 180.75 180.75

Chi-Squared Values:

4.93831 0.262987 5.45779 0.392857

0.525934 0.0280083 0.581259 0.0418396

χ² = 4.93831 + 0.262987 + 5.45779 + 0.392857

+ 0.525934 + 0.0280083 + 0.581259 + 0.0418396 = 12.229

Degree of freedom, df = (4-1)(2-1) = 3*1= 3

The critical value,

χ² at 0.10, 3 = 6.251

Decison region :

Reject H0 : if χ² > 6.251

Reject H0 : 12.229 > 6.251

6 0

3 years ago

Which is the most appropriate to describe a quantity decreasing at a steady rate

Elis [28]

Which is the most appropriate to describe a quantity decreasing at a steady rate?

With a linear equation.

7 0

3 years ago

PLEASE HELP ASAP!!!!!

padilas [110]

The measure of the central angle is 4 radians

<h3><u>Solution:</u></h3>

Given that central angle of a circle intercepts an arc of length 28 centimeters

The radius of the circle is 7 centimeters

<em><u>To find: measure of the central angle in radians</u></em>

The arc length of circle when $\theta$ is measured in radians is given as:

$s = r \theta$

Where "s" is the arc length

"r" is the radius of circle

$\theta$ is the central angle in radians

Substituting the values in formula,

$28 = 7 \times \theta\\\\\theta = \frac{28}{7} = 4$

Thus the measure of the central angle is 4 radians

7 0

4 years ago