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3 years ago

An airplane on autopilot took 5 hours to travel 3,470 kilometers. What is the unit rate for kilometers per hour?

1 answer:

8 0

We can find the unit rate for kph by dividing distance by time.

3470 / 5 = 694

The airplane on autopilot traveled 694kph.

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The diagonals of a trapezoid are perpendicular Always Sometimes Never

iren [92.7K]

The correct answer is Sometimes

4 0

3 years ago

Suppose that in a random selection of 100 colored candies, 28% of them are blue. The candy company claims that the percentage

Zigmanuir [339]

Answer:

We conclude that the percentage of blue candies is equal to 29%.

Step-by-step explanation:

We are given that in a random selection of 100 colored candies, 28% of them are blue. The candy company claims that the percentage of blue candies is equal to 29%.

Let p = population percentage of blue candies

So, Null Hypothesis, $H_0$ : p = 29% {means that the percentage of blue candies is equal to 29%}

Alternate Hypothesis, $H_A$ : p $\neq$ 29% {means that the percentage of blue candies is different from 29%}

The test statistics that will be used here is One-sample z-test for proportions;

T.S. = $\frac{\hat p-p}{\sqrt{\frac{p(1-p)}{n} } }$ ~ N(0,1)

where, $\hat p$ = sample proportion of blue coloured candies = 28%

n = sample of colored candies = 100

So, the test statistics = $\frac{0.28-0.29}{\sqrt{\frac{0.29(1-0.29)}{100} } }$

= -0.22

The value of the z-test statistics is -0.22.

Also, the P-value of the test statistics is given by;

P-value = P(Z < -0.22) = 1 - P(Z $\leq$ 0.22)

= 1 - 0.5871 = 0.4129

Now, at a 0.10 level of significance, the z table gives a critical value of -1.645 and 1.645 for the two-tailed test.

Since the value of our test statistics lies within the range of critical values of z, so we insufficient evidence to reject our null hypothesis as it will not fall in the rejection region.

Therefore, we conclude that the percentage of blue candies is equal to 29%.

4 0

3 years ago

A right triangle has an angle that measures 47°. What is the measurement of the third angle in the triangle?

Allushta [10]

Answer:

43 degrees

Step-by-step explanation:

every triangle all three angles equal 180 for a right triangle you know that one angle is 90 degrees for this triangle we know that another angle is 47 so

90+47 = 137 now we can take 180 - 137 = 43

so your third angle is 43

hope I helped!!

4 0

3 years ago

A bag of backed chips advertises that it now has 1/4 fewer calories than the old recipe.What is the percent of calories were rem

Mrrafil [7]

Answer:

25%

1/4 * 25 = 25/100

25/100=25%

7 0

3 years ago

A 100-point math test contained true/false questions worth 3 points each and short answer questions worth 11 points each. If the

TiliK225 [7]

Answer:

Step-by-step explanation:

100 - 12 (true or false) = 88

88/11 = 8

Hope this helps!!

happy holidays

3 0

3 years ago

An airplane on autopilot took 5 hours to travel 3,470 kilometers. What is the unit rate for kilometers per​ hour?

An airplane on autopilot took 5 hours to travel 3,470 kilometers. What is the unit rate for kilometers per hour?