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Elenna [48]
3 years ago
13

What is the product of -8 1/3 and 3 2/5

Mathematics
1 answer:
fenix001 [56]3 years ago
5 0
-28 1/3

To get this, first, transform the mixed numbers into improper fractions. To do this, multiply the denominator and the whole number then add to the numerator.

Once this is done, set up the equation of -25/3 x 17/5 and cross multiply - -25 and 17 then 3 and 5. Don't forget that the 25 is negative so the product of the numerators will be negative!

Once this is done, you'll have a larger negative improper fraction. You'll need to transform it into a mixed number. To do this, find how many times 15 goes into 425 (28). The remainder will be the fraction or 1/3. Make sure to simplify the fraction!

Hope this helps!
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A study is performed in San Antonio to determine whether the average weekly grocery bill per five-person family in the town is s
bogdanovich [222]

Answer:

No, the sample evidence is not statistically significant (P-value = 0.125).

To reject the null hypothesis, the P-value has to be smaller than the significance level, so the significance level to reject the null hypothesis has to be 0.125 or higher.

Step-by-step explanation:

This is a hypothesis test for the population mean.

The claim is that the average weekly grocery bill per five-person family in San Antonio is significantly different from the national average.

Then, the null and alternative hypothesis are:

H_0: \mu=131\\\\H_a:\mu\neq 131

The significance level is 0.05.

The sample has a size n=50.

The sample mean is M=133.474.

As the standard deviation of the population is not known, we estimate it with the sample standard deviation, that has a value of s=11.193.

The estimated standard error of the mean is computed using the formula:

s_M=\dfrac{s}{\sqrt{n}}=\dfrac{11.193}{\sqrt{50}}=1.583

Then, we can calculate the t-statistic as:

t=\dfrac{M-\mu}{s/\sqrt{n}}=\dfrac{133.474-131}{1.583}=\dfrac{2.474}{1.583}=1.563

The degrees of freedom for this sample size are:

df=n-1=50-1=49

This test is a two-tailed test, with 49 degrees of freedom and t=1.563, so the P-value for this test is calculated as (using a t-table):

P-value=2\cdot P(t>1.563)=0.125

As the P-value (0.125) is bigger than the significance level (0.05), the effect is  not significant.

The null hypothesis failed to be rejected.

There is not enough evidence to support the claim that the average weekly grocery bill per five-person family in San Antonio is significantly different from the national average.

8 0
3 years ago
What would the x and y intercept for the following question? 5x+10y=20
Setler79 [48]

Answer:

y= 1/2x+2

y int is 2

x int is -2

Step-by-step explanation:

plug in 0 for y int

set the equation equal to 0 for x int

8 0
3 years ago
Exactly how many planes contain points J, K, and N?<br> 0<br> 1<br> 2<br> 3
Archy [21]

Answer:

1

Step-by-step explanation:

JK and KN is perpendicular.

Thus no planes contained them except 1

Which is a rectangle.

I hope this helps you :)

6 0
3 years ago
What is the perimeter and how do i find it?
murzikaleks [220]

Add up all the sides of the rectangle

5 0
3 years ago
Read 2 more answers
12r <br> r=1/6<br><br> Please show your work
Flauer [41]

Answer:

Step-by-step explanation:

If m = 4, z = 9 and r = 1/6

1. 3 + m = 3 + 4 = 7

2. z - m = 9 - 4 = 5

3. 12r = 12 × 1/6 = 2

4. 60r - 4 = 60(1/6) - 4 = 10-4 = 6

5. 4m - 2 = 4(4) - 2 = 16-2 = 14

6 0
3 years ago
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