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ivanzaharov [21]
3 years ago
7

Bertha and Vernon are competing in a diving competition. Bertha's dive ended -28 m from the starting platform. Vernon's dive end

ed -4 m from the starting platform. How many times farther was the end of Bertha's dive than the end of Vernon's dive?
A.
-7
B.
-24
C.
7
D.
24
Mathematics
1 answer:
creativ13 [48]3 years ago
8 0
It would be C . You can figure it out by seeing how many times -4 goes into -28, which is 7 times. If you're not sure whether it is negative or positive then you could either use a calculator to check or remember this rule a negative times a negative is a positive which means your answer would have been 28 not -28.
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The diameters of bearings used in an aircraft landing gear assembly have a standard deviation of ???? = 0.0020 cm. A random samp
vovikov84 [41]

Answer:

(a) We conclude after testing that mean diameter is 8.2500 cm.

(b) P-value of test = 2 x 0.0005% = 1 x 10^{-5} .

(c) 95% confidence interval on the mean diameter = [8.2525 , 8.2545]

Step-by-step explanation:

We are given with the population standard deviation, \sigma = 0.0020 cm

Sample Mean, Xbar = 8.2535 cm   and Sample size, n = 15

(a) Let Null Hypothesis, H_0 : Mean Diameter, \mu = 8.2500 cm

 Alternate Hypothesis, H_1 : Mean Diameter,\mu \neq 8.2500 cm{Given two sided}

So, Test Statistics for testing this hypothesis is given by;

                           \frac{Xbar-\mu}{\frac{\sigma}{\sqrt{n} } } follows Standard Normal distribution

After putting each value, Test Statistics = \frac{8.2535-8.2500}{\frac{0.0020}{\sqrt{15} } } = 6.778

Now we are given with the level of significance of 5% and at this level of significance our z score has a value of 1.96 as it is two sided alternative.

<em>Since our test statistics does not lie in the rejection region{value smaller than 1.96} as 6.778>1.96 so we have sufficient evidence to accept null hypothesis and conclude that the mean diameter is 8.2500 cm.</em>

(b) P-value is the exact % where test statistics lie.

For calculating P-value , our test statistics has a value of 6.778

So, P(Z > 6.778) = Since in the Z table the highest value for test statistics is given as 4.4172  and our test statistics has value higher than this so we conclude that P - value is smaller than 2 x 0.0005% { Here 2 is multiplied with the % value of 4.4172 because of two sided alternative hypothesis}

Hence P-value of test = 2 x 0.0005% = 1 x 10^{-5} .

(c) For constructing Two-sided confidence interval we know that:

    Probability(-1.96 < N(0,1) < 1.96) = 0.95 { This indicates that at 5% level of significance our Z score will lie between area of -1.96 to 1.96.

P(-1.96 <  \frac{Xbar-\mu}{\frac{\sigma}{\sqrt{n} } } < 1.96) = 0.95

P(-1.96\frac{\sigma}{\sqrt{n} } < Xbar - \mu < 1.96\frac{\sigma}{\sqrt{n} } ) = 0.95

P(-Xbar-1.96\frac{\sigma}{\sqrt{n} } < -\mu < 1.96\frac{\sigma}{\sqrt{n} }-Xbar ) = 0.95

P(Xbar-1.96\frac{\sigma}{\sqrt{n} } < \mu < Xbar+1.96\frac{\sigma}{\sqrt{n} }) = 0.95

So, 95% confidence interval for \mu = [Xbar-1.96\frac{\sigma}{\sqrt{n} } , Xbar+1.96\frac{\sigma}{\sqrt{n} }]

                                                        = [8.2535-1.96\frac{0.0020}{\sqrt{15} } , 8.2535+1.96\frac{0.0020}{\sqrt{15} }]

                                                        = [8.2525 , 8.2545]

Here \mu = mean diameter.

Therefore, 95% two-sided confidence interval on the mean diameter

           =  [8.2525 , 8.2545] .

6 0
2 years ago
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Answer:

A   45

Step-by-step explanation:

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Point O is the center of the given circle. What is the measure of YZ?
Rina8888 [55]
Let a chord join YZ, then angle XYZ = 90° and angle XZY = 90 - 54 = 36°
angle OYZ = angle XZY = 36°

Therefore, the measure of YZ = 180 - 36 - 36 = 108°

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3 years ago
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ASAP! GIVING BRAINLIEST! Please read the question THEN answer correctly! No guessing.
cupoosta [38]

Answer:

A. G(x) = 7x^2

D. No, because one x-value corresponds to two different y-values.

Step-by-step explanation:

If you were to vertically stretch the quadratic parent function, the correct answer would be "A," because you are stretching upwards, which in turn, also changes the y-values.

As you can see in the table, the x-value of 3 repeats, which cannot occur. Each input (x-value) can go to only one output (y-value). As a result, the table does not represent a function.

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2 years ago
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balu736 [363]

Answer:

88 problems

Step-by-step explanation:

Set this problem up as fractions

86/x = 98/100

Cross multiply

86 × 100 = x × 98

8600 = 98x

Divide both sides by 98

87.75... = x

Round to nearest whole number

87.75 rounds up to 88

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7 0
3 years ago
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