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saw5 [17]
1 year ago
9

The ratio of peanuts to total nuts in a bag of mixed nuts is 3 : 7. If the bag has 56 total nuts, how many are peanuts?

Mathematics
2 answers:
DedPeter [7]1 year ago
5 0

Answer:

24 peanuts

Step-by-step explanation:

Gelneren [198K]1 year ago
5 0
Answer is 16.8 peanuts round to 17

(And 39.2 mixed nuts round to 39
Total of 17+ 39 = 56 nuts)

Step by step

Ratio of 3:7 means 3 peanuts to 10
And 7:10 means 7 mixed to 10 total

So your equation for peanuts

3/10 = x/56

Cross multiply

10x = 168

X = 16.8 peanuts rounded to 17 peanuts



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A phone manufacturer wants to compete in the touch screen phone market. He understands that the lead product has a battery life
alisha [4.7K]

Answer:

a)

The null hypothesis is H_0: \mu \leq 10

The alternative hypothesis is H_1: \mu > 10

b-1) The value of the test statistic is t = 1.86.

b-2) The p-value is of 0.0348.

Step-by-step explanation:

Question a:

Test if the battery life is more than twice of 5 hours:

Twice of 5 hours = 5*2 = 10 hours.

At the null hypothesis, we test if the battery life is of 10 hours or less, than is:

H_0: \mu \leq 10

At the alternative hypothesis, we test if the battery life is of more than 10 hours, that is:

H_1: \mu > 10

b-1. Calculate the value of the test statistic.

The test statistic is:

We have the standard deviation for the sample, so the t-distribution is used to solve this question

t = \frac{X - \mu}{\frac{s}{\sqrt{n}}}

In which X is the sample mean, \mu is the value tested at the null hypothesis, s is the standard deviation and n is the size of the sample.

10 is tested at the null hypothesis:

This means that \mu = 10

In order to test the claim, a researcher samples 45 units of the new phone and finds that the sample battery life averages 10.5 hours with a sample standard deviation of 1.8 hours.

This means that n = 45, X = 10.5, s = 1.8

Then

t = \frac{X - \mu}{\frac{s}{\sqrt{n}}}

t = \frac{10.5 - 10}{\frac{1.8}{\sqrt{45}}}

t = 1.86

The value of the test statistic is t = 1.86.

b-2. Find the p-value.

Testing if the mean is more than a value, so a right-tailed test.

Sample of 45, so 45 - 1 = 44 degrees of freedom.

Test statistic t = 1.86.

Using a t-distribution calculator, the p-value is of 0.0348.

5 0
2 years ago
The elimination method works when the equations are in what form
egoroff_w [7]
The answer is standard form. When the equation is set up as Ax + By = C where A and B are coefficients. 
6 0
3 years ago
Add a sign: 2 4 9 6=992
melomori [17]
2 4 9 6=992 hfghubdfb gg by
8 0
3 years ago
Can someone find the median? I got 177 divided by 2 but not sure
Lostsunrise [7]
Greetings!

The Median refers to the middle of the set of number! So line up the numbers from largest to smallest or vice versa:
97,94,89,88,88,83

The middle number(s) is/are:
89 and 88.

Now we can use the same technique to find the mode, using the two number:
=88+89

=177

Now divide the sum by the number of numbers (2):
= \frac{177}{2}

=88.5

The Median is:
\left[\begin{array}{ccc}88.5\end{array}\right]

Hope this helps!
-Benjamin


8 0
3 years ago
Hey please help meeeeeeeeeeeeeeeeee
kupik [55]

Answer:

the answer is 55 im pretty sure

Step-by-step explanation:

i used to do that all the time

hope it helps

8 0
2 years ago
Read 2 more answers
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