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ruslelena [56]
3 years ago
5

Assessment items What is the quotient? 1 5/8 ÷(−1 3/5 )

Mathematics
1 answer:
Solnce55 [7]3 years ago
4 0

We need convert the mixed numbers to improper fractions.

1\dfrac{5}{8}=\dfrac{1\cdot8+5}{8}=\dfrac{8+5}{8}=\dfrac{13}{8}\\\\1\dfrac{3}{5}=\dfrac{1\cdot5+3}{5}=\dfrac{5+3}{5}=\dfrac{8}{5}

Divide the number by a fraction, this is the same as multiply this number by the reciprocal of the fraction:

1\dfrac{5}{8}\div\left(-1\dfrac{3}{5}\right)=-\dfrac{13}{8}\div\dfrac{8}{5}=-\dfrac{13}{8}\cdot\dfrac{5}{8}=-\dfrac{(13)(5)}{(8)(8)}=-\dfrac{65}{64}\\\\\boxed{1\dfrac{5}{8}\div\left(-1\dfrac{3}{5}\right)=-1\dfrac{1}{64}}

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Ilia_Sergeevich [38]

Answer:
The fox is faster, by 7 miles per hour

Step-by-step explanation:

The fox can run 21 miles in half an hour -> It can run 42 miles in an hour

And the rabbit can run 35 miles per hour, so the fox run fastest by 42-35 = 7(m/h)

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2 years ago
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Answer:

Answers in decimal form:
2.848 , -16.848

Answers in radical form:
-7 + sqrt(97) , -7 - sqrt(97)
3 0
3 years ago
28 points!!!!! In the box, type in the number that will correctly complete the sentence.
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Step-by-step explanation:

she spent 12 and 7 dollars which are being subtracted from her budget, therefore there is a -19 dollars effect on her budget.

7 0
4 years ago
N experiment was conducted to test the effect of a new stain remover. Twenty stains were treated with stain remover A and stain
Klio2033 [76]

Answer:

For this case the statistic calculated is t= 1.37

p_v =0.17

So the p value is a very high value and using the significance level  given\alpha=0.1 we see that p_v>\alpha so we can conclude that we have enough evidence to FAIL to reject the null hypothesis, and there is enough evidence to conclude that we have a difference between the two means at 10% of significance.

Step-by-step explanation:

Data given and notation

\bar X_{A} represent the mean for the sample for A

\bar X_{B} represent the mean for the sample B

s_{A} represent the sample standard deviation for the sample A

s_{B}= represent the sample standard deviation for the sample B

n_{A}=20 sample size for the group poisoned

n_{B}=20 sample size for the group unpoisoned

t would represent the statistic (variable of interest)

Concepts and formulas to use

We need to conduct a hypothesis in order to check if the two means are equal or not , the system of hypothesis would be:

Null hypothesis:\mu_{A} - \mu_{B} =0

Alternative hypothesis:\mu_{A} - \mu_{B} \neq 0

For this case is better apply a t test to compare means, and the statistic is given by:

t=\frac{\bar X_{A}-\bar X_{B}}{\sqrt{\frac{s^2_{A}}{n_{A}}+\frac{s^2_{B}}{n_{B}}}} (1)

t-test: Is used to compare group means. Is one of the most common tests and is used to determine whether the means of two groups are equal to each other.

Calculate the statistic

For this case the statistic calculated is t= 1.37

Statistical decision

The significance level is 0.1 \alpha=0.1, but we can calculate the p value for this test. The first step is calculate the degrees of freedom, on this case:

df=n_{A}+n_{B}-2

The p value on this case is given

p_v =0.17

So the p value is a very high value and using the significance level  given\alpha=0,1 we see that p_v>\alpha so we can conclude that we have enough evidence to FAIL to reject the null hypothesis, and there is enough evidence to conclude that we have a difference between the two means at 10% of significance.

5 0
3 years ago
Evelyn pets the box with 1 inch cubes with represents does not show how evelyn can’t find the volume of the box
erastovalidia [21]

Question Correction

Evelyn packed this box with 1 inch cubes. Which expression does not show how Evelyn can find the volume of the box?

  • (A)6+6+6+6+6+6
  • (B) 2 X 3 X 6
  • (C) 2 + 3 + 6
  • (D) 6 X 6

Answer:  

(C) 2 + 3 + 6

Step-By-Step Explanation

In the diagram,  

  • Height = 6 Units
  • Length =2 Units
  • Width =3 Units

Volume  = Height X Length X Width

= 6 X 2 X 3

=36 cubic units

Consider the options:

(A)6+6+6+6+6+6 =36 cubic units

(B) 2 X 3 X 6 =36 cubic units

(C) 2 + 3 + 6 = 11 cubic units

(D) 6 X 6 =36 cubic units

Out of the option, that which is not equivalent to 36 cubic units is:

(C) 2+3+6

Therefore, it does not show how Evelyn can find the volume of the box.

6 0
3 years ago
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