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2 years ago

6

Amber put gasoline into her car she wrote down that she added 56.78 liters of gas but she rounded the amount to the nearest hund

redths which could be the number of liters of gas amber put in her car before she rounded

1 answer:

Trava [24]2 years ago

7 0

Answer:

56.779 or 56.782 56.778, etc, because it has to be 8 in the hundreths thousandths less than 5 or 7 in the hundreths thousandths greater than 5

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If possible could you explain how to get the answer if not it is ok.

Softa [21]

Rules of exponents come in hand here.

Multiplication rule: a^m x a^n = a^ m+n

Division rule: a^m / a^n = a^m-n

Negative exponent: a^-m = 1/a^m; 1a^-m =a^m

So it would be (-3)^7+5 / (-3)^-2; (-3)^12 / (-3)^-2; (-3)^12 x (-3)^2; (-3)^14

The answer is (-3)^14. If you multiply it out it is 4,782,969.

3 0

2 years ago

4/3y=48<br><br>solve for y<br><br>simplify answer as much as posible

Helga [31]

<h2>If you mean :</h2>

$\frac{4}{3y} = 48 \\$

Inverse both sides

$\frac{3y}{4} = \frac{1}{48} \\$

Multiply both sides by 4

$4 \times \frac{3y}{4} = 4 \times \frac{1}{48} \\$

$3y = \frac{4}{48} \\$

$3y = \frac{4 \times 1}{4 \times 12} \\$

$3y = \frac{1}{12} \\$

Divide both sides by 3

$3y \div 3 = \frac{1}{12} \div 3 \\$

$y = \frac{1}{12} \times \frac{1}{3} \\$

$y = \frac{1}{36} \\$

_____________________________________________

<h2>If u mean : </h2>

$\frac{4}{3} y = 48 \\$

Multiply both sides by the 3

$3 \times \frac{4}{3} y = 3 \times 48 \\$

$4y = 3 \times 48$

Divide both sides by 4

$4y \div 4 = 3 \times 48 \div 4$

$y = \frac{48 \times 3}{4} \\$

$y = \frac{4 \times 12 \times 3}{4 \times 1} \\$

$y = 12 \times 3$

$y = 36$

6 0

2 years ago

What is the sum 3/7 + 5/14

pickupchik [31]

I think the answer is 11/14

8 0

3 years ago

A research group is curious about their city’s participation in flu shot clinics. They suspect that there is a difference betwee

Kipish [7]

Answer:

$t=\frac{(162-156)-0}{\sqrt{\frac{41^2}{22}+\frac{36^2}{20}}}}=0.505$

$p_v =2*P(t_{40}>0.505)=0.61633$

Comparing the p value with the significance level $\alpha=0.05$ we see that $p_v>\alpha$ so we can conclude that we have enough evidence to FAIL to reject the null hypothesis, then the difference between the two groups is NOT significantly different.

Step-by-step explanation:

Data given and notation

$\bar X_{1}=162$ represent the mean for sample of clinic attendees

$\bar X_{2}=156$ represent the mean for the sister city

$s_{1}=41$ represent the sample standard deviation for 1

$s_{2}=36$ represent the sample standard deviation for 2

$n_{1}=22$ sample size for the group 2

$n_{2}=20$ sample size for the group 2

$\alpha=0.05$ Significance level provided

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 difference in the population means, the system of hypothesis would be:

Null hypothesis: $\mu_{1}-\mu_{2}=0$

Alternative hypothesis: $\mu_{1} - \mu_{2}\neq 0$

We don't have the population standard deviation's, so for this case is better apply a t test to compare means, and the statistic is given by:

$t=\frac{(\bar X_{1}-\bar X_{2})-\Delta}{\sqrt{\frac{\sigma^2_{1}}{n_{1}}+\frac{\sigma^2_{2}}{n_{2}}}}$ (1)

And the degrees of freedom are given by $df=n_1 +n_2 -2=22+20-2=40$

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.

With the info given we can replace in formula (1) like this:

$t=\frac{(162-156)-0}{\sqrt{\frac{41^2}{22}+\frac{36^2}{20}}}}=0.505$

P value

Since is a bilateral test the p value would be:

$p_v =2*P(t_{40}>0.505)=0.61633$

Comparing the p value with the significance level $\alpha=0.05$ we see that $p_v>\alpha$ so we can conclude that we have enough evidence to FAIL to reject the null hypothesis, then the difference between the two groups is NOT significantly different.

3 0

3 years ago

Estimate the quotient 31.9 divided by 4

nevsk [136]

I hope this helps you

31,9÷4

319/40

7,975

3 0

3 years ago

Read 2 more answers