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VikaD [51]
3 years ago
5

Which of the following graphs best represents the solution to the pair of equations below?

Mathematics
1 answer:
Daniel [21]3 years ago
7 0
May you post the graph please or else I cannot answer your question for you
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Simplify this PLEASE<br>​
Advocard [28]

Answer:

\frac{12a-14b}{21}

Step-by-step explanation:

Express the 2 fractions with a common denominator of 21

multiply numerator/denominator of first fraction by 3

multiply numerator/denominator of second fraction by 7

\frac{4a(3)}{7(3)} - \frac{2b(7)}{3(7)}

= \frac{12a}{21} - \frac{14b}{21}

= \frac{12a-14b}{21}

4 0
3 years ago
200 golf scores are normally distributed with a mean of 81 and standard division of 4.
sp2606 [1]
The answer is 20.25 i divided 81\4 and that came back as the answer
7 0
3 years ago
An article in Fire Technology describes the investigation of two different foam expanding agents that can be used in the nozzles
kvv77 [185]

Answer:

a) There is no evidence to support the claim that there is no difference in mean foam expansion of these two agents.

b) P=0

c)  90% CI

-3.2406\leq \mu_1-\mu_2 \leq -2.2614

This CI tells us that there is a 90% confidence that the real value of the difference between the means is between this two values. We see that both are negative values, so the value 0 is left out of the interval.

That means we can be almost sure both means don't have the same value, confirming the results of the previous test.

Step-by-step explanation:

The null and alternative hypothesis are:

H_0: \mu_1-\mu_2=0\\\\H_a: \mu_1-\mu_2\neq 0

The significance level is 0.10 and it will be a two-tailed test.

The difference of the sample means is:

M_d=M_1-M_2=4.340-7.091=-2.751

As the sample size is equal for both samples, the estimated standard error of the difference between means is calculated as:

s_M_d=\sqrt{\frac{s_1^2+s_2^2}{N}}= \sqrt{\frac{0.508^2+0.430^2}{5}}=\sqrt{\frac{0.442964}{5} }= \sqrt{0.0886}=0.2976

Then, the statistic z is:

z=\frac{M_d-(\mu_1-\mu_2)}{s_M_d}=\frac{-2.751-0}{0.2976}=-9.24\\\\P(|z|>9.24)=0

The P-value (P=0) is much lower than the significance level, so the null hypothesis is rejected. The means are different.

For a 90% confidence interval for the difference of the means, we use a z=1.645.

Then the confidence interval is defined as:

M_d-z*s_M_d\leq \mu_1-\mu_2 \leq M_d-z*s_M_d\\\\-2.751-1.645*0.2976\leq \mu_1-\mu_2 \leq -2.751+1.645*0.2976\\\\-3.2406\leq \mu_1-\mu_2 \leq -2.2614

This CI tells us that there is a 90% confidence that the real value of the difference between the means is between this two values. We see that both are negative values, so the value 0 is left out of the interval.

That means we can be almost sure both means don't have the same value.

5 0
3 years ago
Elimination w/ multiplication
yan [13]

Answer:

"Equations can be multiplied by a constant to allow for elimination by addition or subtraction. This process is called Elimination by Multiplication. We multiply the first equation by "2" to prepare it for elimination by subtraction. Now that we know "x", we can use this information to solve for "y"."

4 0
3 years ago
You invest $9,900 and earn a return of 14% each year
kow [346]

Answer:

14% is 1,386 dollars you would earn in a year.

8 0
3 years ago
Read 2 more answers
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