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Tcecarenko [31]
2 years ago
7

The average weight of a 12 year old boy in the US is 45 kg. If there are 2.2046 pounds in a kg, what is the average weight in po

unds? Round your answer to the nearest pound.​
Mathematics
1 answer:
Gennadij [26K]2 years ago
8 0

Answer:

X=99

Step-by-step explanation:

1 KG =2.2046 pound

45 KG = x

X=45* 2.2046=99.207

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tom paid $16 for 6 audio cassettes. Which proportion can be used to find the amount of money (m) he would pay for 9 audio casset
tigry1 [53]

Answer:

Step-by-step explanation:

From the question, Tom paid $16 for 6 audio cassettes and we are told to find the proportion to get the amount of money (m) he would pay for 9 audio cassettes. To get this, we have to know the amount of the cost of 1 audio cassette. Since Tom paid $16 for 6 audio cassettes, 1 audio cassette will cost:

= $16/6

= $2.67

1 audio cassette will cost $2.67

The amount of money spent will depend on the number of audio cassettes. Therefore,

m = $2.67 × n

m = $2.67n

where n = number of audio cassette

The amount of money he'll pay for 9 cassette will be:

m = $2.67n

m = $2.67 × 9

m = $24.03

7 0
2 years ago
In a program designed to help patients stop smoking. 192 patients were given to sustained care, and 80.2% of them were no longer
stira [4]

Answer:

We conclude that 80% of patients stop smoking when given sustained care.

Step-by-step explanation:

We are given that in a program designed to help patients stop smoking. 192 patients were given to sustained care, and 80.2% of them were no longer smoking after one month.

Let p = <u><em>percentage of patients stop smoking when given sustained care.</em></u>

So, Null Hypothesis, H_0 : p = 80%     {means that 80% of patients stop smoking when given sustained care}

Alternate Hypothesis, H_A : p \neq 80%     {means that different from 80% of patients stop smoking when given sustained care}

The test statistics that would be used here <u>One-sample z test for proportions</u>;

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

where, \hat p = sample proportion of patients who stop smoking when given sustained care = 80.2%

           n = sample of patients = 192

So, <u><em>the test statistics</em></u>  =  \frac{0.802-0.80}{\sqrt{\frac{0.802(1-0.802)}{192} } }

                                     =  0.07

The value of z test statistics is 0.07.

<u></u>

<u>Also, P-value of the test statistics is given by the following formula;</u>

                P-value = P(Z > 0.07) = 1 - P(Z \leq 0.07)

                              = 1 - 0.52790 = 0.4721

<u>Now, at 0.05 significance level the z table gives critical values of -1.96 and 1.96 for two-tailed test.</u>

Since our test statistic lies within the range of critical values of z, so we have insufficient evidence to reject our null hypothesis as it will not fall in the rejection region due to which <u>we fail to reject our null hypothesis</u>.

Therefore, we conclude that 80% of patients stop smoking when given sustained care.

8 0
3 years ago
PLEASE HELP FAST!! I WILL GIVE BRAINLIEST!! what is the answer to a= π r2 when solving for r
MrRa [10]

Answer:

Step-by-step explanation:

A = πr2

Solve for r and get

r = √(A/π)

7 0
2 years ago
The polynomial 6x²+x–15 has a factor of 2x–3. What is the other factor?
spayn [35]

Step-by-step explanation:

Method 1

Do the factor like

6x

6 \times  ^{2}  +  \times  - 15 \\  = 6 \times  ^{2}  - 9 \times  + 10 \times  - 15 \\  = 3 \times (2 \times  - 3) + 5(2 \times  - 3) \\  = (2 \times  - 3)(3 \times  + 5)

So the other factor is 3x+5

Method 2 We can divise 6x^2+x-15 by 2x-3 and we find the quotient 3x+5

Hope you understand

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Are u at school dude do it yourself kjsnfhbagyuhfva

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