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Kaylis [27]
2 years ago
13

A. In the diagram above, angles ABCABC and CBDCBD are

Mathematics
1 answer:
Dovator [93]2 years ago
3 0

Answer:

Step-by-step explanation:

..

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? A mug can hold 13.46 oz of coffee without overflowing. The radius of the mug is 3 cm. Given that 1 cm3 equals 0.034 oz, what i
Elan Coil [88]

Answer:

14 cm

Step-by-step explanation:

Given:

A mug can hold 13.46 oz of coffee.

The radius of the mug is 3 cm.

Given that 1 cm^{3} equals 0.034 oz.

Question asked:

What is the height of the mug to the nearest centimeter ?

Solution:

Given that 1 cm^{3} equals 0.034 oz.

By unitary method:

0.034 oz = 1 cm^{3}

1 oz = \frac{1}{0.034}

13.46 oz = \frac{1}{0.034}\times13.46 =395.88 \ cm^{3}

A mug can hold 13.46 oz of coffee means volume of cylinder is given which is 395.88 cm^{3}. Now we can find the height of the mug by using volume of cylinder formula:

volume of cylinder = \pi r^{2} h

                   395.88=\frac{22}{7} \times3\times3\times \ h\\395.88=\frac{198 \ h}{7}

By cross multiplication:

                 395.88\times 7 =198\ h\\2771.16= 198\ h

By dividing both side by 198

h = 13.99 cm

Therefore,  height of the mug to the nearest centimeter is 14 cm.

                   

6 0
3 years ago
Read 2 more answers
An angle through 1/6 of circle. What is the measure of this angle?
azamat

Answer:

60 degrees

Step-by-step explanation:

4 0
3 years ago
What is the equation that represents the scenario?
miskamm [114]

Answer:y=5x

Step-by-step explanation:

B

7 0
3 years ago
Scientists were studying a rare species of parrot. They went to a forest in the year
Brrunno [24]

Answer:

P(t) = 608(1.5)^{t}

Step-by-step explanation:

The number of parrots in t years after 2010 can be modeled by the following function:

P(t) = P(0)(1+r)^{t}

In which P(0) is the number of parrots in 2010 and r is the growth rate, as a decimal.

608 parrots in the forest in 2010.

This means that P(0) = 608

Then

P(t) = 608(1+r)^{t}

When the scientists went back  5 years later, they found 4617 parrots.

This means that P(5) = 4617

We use this to find 1 + r. So

P(t) = 608(1+r)^{t}

4617 = 608(1+r)^{5}

(1+r)^{5} = \frac{4617}{608}

1 + r = \sqrt[5]{\frac{4617}{608}}

1 + r = 1.5

So

P(t) = 608(1.5)^{t}

8 0
3 years ago
A hypothesis test is conducted at the .05 level of significance to test whether or not the population correlation is zero. If th
finlep [7]

Answer:

Th computed value of the test statistic is 3.597

Step-by-step explanation:

The null and the alternative hypothesis is as follows:

Null Hypothesis:

\mathbf{H_o:} the population correlation coefficient is equal to zero

\mathbf{H_a:} the population correlation coefficient is not equal to zero

The test statistics for Pearson correlation coefficient is thus computed as :

t =\dfrac{r \sqrt{(n-2)}} { \sqrt{(1-(r)^2)} }

where;

r = correlation coefficient = 0.60

n = sample size = 25

So;

t =\dfrac{0.60 \sqrt{(25-2)}} { \sqrt{(1-(0.60)^2)} }

t =\dfrac{0.60 \sqrt{(23)}} { \sqrt{(1-0.36} }

t =\dfrac{0.60 *4.796} {0.8}

t = 3.597

Comparing to a critical value of t (23 degrees of freedom two-tailed value) = 2.069

Decision Rule:

Since computed value of t is greater than the critical value of t; We reject the null hypothesis and accept the alternative hypothesis.

Conclusion:

We conclude that the population correlation coefficient significantly differs from 0 at 5% (0.05) level of significance.

6 0
3 years ago
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