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Iteru [2.4K]
3 years ago
9

Solve for the missing side. Round to the nearest tenth.

Mathematics
1 answer:
muminat3 years ago
6 0

Answer:

? = 7.2

Step-by-step explanation:

Remark

Is that a misshapen circle or is it an ellipse? I'm going to assume it is a circle, but if I am wrong, leave a comment. A tangent will meet a diameter's end at right angles which allows you to use the Pythagorean theorem.

Formula

a^2 + b^2 = c^2

Givens

c = 12

a = 9.6

b = ?

Solution

c^2 - a^2 = b^2

144 - 92.16 = b^2

b^2 = 51.84                          Take the square root of both sides

sqrt(b^2) = sqrt(51.84)

b = 7.2

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You measure the lifetime of a random sample of 25 rats that are exposed to 10 Sv of radiation (the equivalent of 1000 REM), for
Slav-nsk [51]

Answer:

CI 95%(μ)= [13.506 ; 14.094]

Step-by-step explanation:

The confidence interval (CI) formula is:

CI (1-alpha) (μ)= mean+- [(Z(alpha/2))* σ/sqrt(n)]

alpha= is the proportion of the distribution tails that are outside the confidence interval. In this case, 5% because 100-90%

Z(5%/2)= is the critical value of the standardized normal distribution. In this case is 1.96

σ= standard deviation. In this case 0.75 day

mean= 13.8 days

n= number of observations . In this case 25

Then, the confidence interval (90%) is:

CI 95%(μ)= 13.8+- [1.96*(0.75/sqrt(25)]

CI 95%(μ)= 13.8+- [1.96*(0.75/5) ]

CI 95%(μ)= 13.8+- (0.294)

CI 95%(μ)= [13.8-0.294 ; 13.8+0.294]

CI 95%(μ)= [13.506 ; 14.094]

4 0
3 years ago
Which equation justifies why nine to the one third power equals the cube root of nine?
Aleksandr-060686 [28]

Answer:

nine to the one third power all raised to the third power equals nine raised to the one third times three power equals nine

5 0
3 years ago
Find the distance between the points (-8, -2) and (6,-1). Round your answer to the nearest hundredth.
vitfil [10]

Answer:

distance is 14.04

Step-by-step explanation:

the distance between 2 points is the Hypotenuse of the right angled triangle of the x and y coordinate differences.

we use Pythagoras

c² = a² + b²

c = the Hypotenuse (the side of the triangle opposite to the 90 degree angle).

the x difference

-8 - 6 = -14

the y difference

-2 - -1 = -1

c² = -14² + -1² = 196 + 1 = 197

c = sqrt(197) = 14.04

7 0
2 years ago
The graph shows the relationship between the number of hours that Mitchelle has been driving to get to her destination.
Elden [556K]
What is the question?
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A third line goes through the same point. How would that show up in a table representing the relationship for the third line?
romanna [79]

Answer:

Most likely the table will contain one pair of values that correspond to the coordinate where the previous lines intersect.

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It may be possible that the table before the third line contains values on either side of the point of intersection, but the slope will produce a line that connects those values and passes through the previous intersection.

7 0
2 years ago
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