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Nitella [24]
3 years ago
7

Jacqueline reach the end of the trail in two hours and 15 minutes. Write the amount of hours he spent on the trail as a mixed nu

mber and as an improper fraction
Mathematics
1 answer:
LenaWriter [7]3 years ago
4 0
You would keep the 2 hour for the whole number of the mixed number and then, make the minutes (15) as a fraction with 60, and divide them both by 20. that is just for the mixed number.
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The volume of a right circular cone is 2,279.64 in cubed. If the height of the cone is 18 in, what is the diameter of the cone?
Aleksandr [31]

ANSWER

A. 22 in

EXPLANATION

The volume of a cone is calculated using the formula:

Volume =  \frac{1}{3}  \times \pi {r}^{2} h

It was given that: the volume is 2,279.64 in³

The height of the cylinder is also given as: h=18 in.

We substitute, the given values into the formula to get:

2279.64=  \frac{1}{3}  \times (3.14) \times {r}^{2}  \times 18

2279.64= 18.84 {r}^{2}

{r}^{2}  =  \frac{2279.64}{18.84}

{r}^{2}  = 121

We take positive square root to get;

r =  \sqrt{121}

r = 11in

Therefore the diameter is 2(11) which is equal to 22 inches.

5 0
3 years ago
Help, please<br> I'm stuck on 4
gulaghasi [49]
What is account 5..?
5 0
2 years ago
Read 2 more answers
The mayor of a town has proposed a plan for the construction of an adjoining bridge. A political study took a sample of 13001300
Ket [755]

Answer:

No, there is not enough evidence at the 0.02 level to support the strategist's claim.

Step-by-step explanation:

We are given that a political study took a sample of 1300 voters in the town and found that 57% of the residents favored construction.

And, a political strategist wants to test the claim that the percentage of residents who favor construction is more than 54%, i.e;

Null Hypothesis, H_0 : p = 0.54 {means that the percentage of residents who favor construction is 54%}

Alternate Hypothesis, H_1 : p > 0.54 {means that the percentage of residents who favor construction is more than 54%}

The test statistics we will use here is;

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

where, p = actual percentage of residents who favor construction = 0.54

           \hat p = percentage of residents who favor construction in a sample of

                  1300 voters = 0.57

           n = sample of voters = 1300

So, Test statistics = \frac{0.57 -0.54}{\sqrt{\frac{0.57(1- 0.57)}{1300} } }

                              = 2.185

Now, at 0.02 significance level, the z table gives critical value of -2.3263 to 2.3263. Since our test statistics lie in the range of critical values which means it doesn't lie in the rejection region, so we have insufficient evidence to reject null hypothesis.

Therefore, we conclude that the percentage of residents who favor construction is 54% and the strategist's claim is not supported.

4 0
3 years ago
Mr.Davis drives 496 miles in eight hours. At this rate, how many miles does he drive in six hours?
Lynna [10]

Answer:

Step-by-step explanation:

496m=8h

Figure for 1 hour.

496/8=62

Now do

62x6=372m

Yes, you are correct.

3 0
2 years ago
Martha always tries to exercise 30 minutes a day.Write an inequality to represent the number of minutes Martha exercises each da
s2008m [1.1K]
X≥30 pretty sure it's right
6 0
2 years ago
Read 2 more answers
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