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4 years ago

1. What is the center and radius of the circle? (x-4)² + (x-7) ² - 49

Mathematics

1 answer:

tester [92]4 years ago

4 0

Answer:

Center at (4, 7) and radius is √49, or 7

Step-by-step explanation:

Didn't you mean (x-4)² + (y-7) ² = 49?

Comparing (x-4)² + (y-7) ² = 49

to (x - h)^2 + (y - k)^2 = r^2, we see that the center is at (h, k) => (4, 7) and that the radius is √49, or 7.

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Four boys weighed themselves in different pairs and alone. The weights of the pairs were 110 kg, 112 kg, 113 kg, 118 kg, 121 kg,

brilliants [131]

The lost pair of weight can be found by subtracting the a known pair from

the total weight leaving the value of the lost pair.

The lost weight of a pair of boys is 120 kg

Reasons:

Let a, b, c, and d represent the weights of the four boys, we have;

The number of ways of selecting pairs (two boys) of boys from a group of

four is given using combination formula as follows;

$_nC_r = \dfrac{n!}{r! \cdot (n - r)!}$

Which gives;

$_4C_2 = \dfrac{4!}{2! \cdot (4 - 2)!} = 6$

₄C₂ = 6

Therefore, the weights of the pairs are;

a + b = 110

a + c = 112

a + d = 113

b + c = 118

b + d = 121

c + d = Lost weight

c + d = Lost weight

a + b + c + d = 230 (given)

Therefore;

The lost weight, c + d = 230 - (a + b)

Which gives;

c + d = 230 - (110) = 120

The lost weight = c + d = 120

The lost weight = 120 kg

Learn more here:

brainly.com/question/12974932

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3 years ago

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The Blakely family has driven 50 miles of a 200-mile trip. Their car travels 30 miles per gallon of gas. How many gallons of gas

gregori [183]

Answer: 5 gallons

Step-by-step explanation:

200 divided by 30 = 6.6 gallons

200 - 50 = 150 miles left to their destination

They would need 5 more gallons of gas for the remainder of their trip.

***If you found my answer helpful, please give me the brainliest, please give a nice rating, and the thanks ( heart icon :) ***

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3 years ago

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Can someone pleaseeeeee help on either question pleaseeeee 100000000 points

SIZIF [17.4K]

Number 3 is gonna be 2 and Number 4 will be 294 I hope this would help u a little bit I will figure out the Other questions

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3 years ago

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12. A research study was conducted to estimate the number of white perch (a type of fish) in a Midwestern lake. 300 perch were c

Artyom0805 [142]

Answer:

If the scientist’s estimate about the number of fish in the lake is correct, then it is 44% likely to get 20 perch out of 50 with a tag.

Step-by-step explanation:

Let p be the proportion of tagged white perch in the Midwestern lake.

Scientist's claim is that p= $\frac{300}{1000} =0.30$

Let's test this hypothesis as:

$H_{0}:$ p=0.30

$H_{a}:$ p≠0.30

P-value of the test statistic will give the likelihood of getting 20 perch out of 50 with a tag if the scientist's estimate ( $H_{0}$ ) is true.

Test statistic can be calculated using the equation

$z=\frac{p(s)-p}{\sqrt{\frac{p*(1-p)}{N} } }$ where

p(s) is the sample proportion of white perch ( $\frac{20}{50} =0.25$ )

p is the proportion assumed under null hypothesis. (0.30)

N is the sample size (50)

Then $z=\frac{0.25-0.30}{\sqrt{\frac{0.30*0.70}{50} } }$ ≈ -0.77

Two tailed p-value of the test statistic is ≈ 0.44

Thus if the scientist’s estimate about the number of fish in the lake is correct, (p=0.30) then it is 44% likely to get 20 perch out of 50 with a tag.

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Zigmanuir [339]

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