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scoray [572]
3 years ago
9

The set of all points in a plane that are equidistant from two points is a(n):

Mathematics
1 answer:
Dafna11 [192]3 years ago
4 0

Answer:

a

Step-by-step explanation:

a

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A quantity a varies inversely as a quantity b, if, when b changes a changes in the inverse ratio. What happens to the quantity a
Julli [10]

Answer:

quantity a is halfed

Corrected question;

A quantity a varies inversely as a quantity b, if, when b changes a changes in the inverse ratio. What happens to the quantity a if the quantity b doubles?

Step-by-step explanation:

Analysing the question;

A quantity a varies inversely as a quantity b,

a ∝ 1/b

a = k/b ......1

when b changes a changes in the inverse ratio;

Since the change at the same ratio but inversely, k = 1

So, equation 1 becomes;

a = 1/b

If the quantity b doubles,

ab = 1

a1b1 = a2b2

When b doubles, b2 = 2b1

a1b1 = a2(2b1)

Making a2 the subject of formula;

a2 = a1b1/(2b1)

a2 = a1/2

Therefore, when b doubles, a will be divided by 2, that means a is halfed.

3 0
3 years ago
The width of a rectangle is 30% of its length what is the area of the rectangle. when the length is 40ft.
zaharov [31]

Answer:

480ft squared

Step-by-step explanation:

length= 40*0.30= 12

area= length×width

area=40×12

40×12= 480

7 0
3 years ago
The average smoker typically pays 15% higher life insurance costs than the average non-smoker. If the monthly cost to a non-smok
Licemer1 [7]
C the is the correct answer
5 0
3 years ago
An education researcher claims that 58​% of college students work​ year-round. In a random sample of 400 college​ students, 232
Hatshy [7]

Answer:

The proportion of college students who work​ year-round is 58%.

Step-by-step explanation:

The claim made by the education researcher is that 58​% of college students work​ year-round.

A random sample of 400 college​ students, 232 say they work​ year-round.

To test the researcher's claim use a one-proportion <em>z</em>-test.

The hypothesis can be defined as follows:

<em>H</em>₀: The proportion of college students who work​ year-round is 58%, i.e. <em>p</em> = 0.58.

<em>Hₐ</em>: The proportion of college students who work​ year-round is 58%, i.e. <em>p</em> ≠ 0.58. C

Compute the sample proportion as follows:

 \hat p=\frac{232}{400}=0.58

Compute the test statistic value as follows:

 z=\frac{\hat p-p}{\sqrt{\frac{p(1-p)}{n}}}=\frac{0.58-0.58}{\sqrt{\frac{0.58(1-0.58)}{400}}}=0

The test statistic value is 0.

Decision rule:

If the p-value of the test is less than the significance level then the null hypothesis will be rejected.

Compute the p-value for the two-tailed test as follows:

 p-value=2\times P(z

*Use a z-table for the probability.

The p-value of the test is 1.

The p-value of the test is very large when compared to the significance level.

The null hypothesis will not be rejected.

Thus, it can be concluded that the proportion of college students who work​ year-round is 58%.

6 0
3 years ago
Help me with 26 ASAP <br> Please show work<br> Random Answers will be moderated! Thanks :)
vfiekz [6]
First, convert the distance of a typical marathon to kilometers.
1 mi = 1.609 km
26.2 miles = 42.165 km

Divide this distance by Allan's average speed to get his average time.

42.165 km / 12 km/hr = 3.514 hours
4 0
3 years ago
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