Find The Solution set and draw a number line of each quad inequality

Which juice container is larger: 2l or 1 gal?

tangare [24]

The conversion between Litres and gallons is about 4L/gal,
so 2L * 1gal/ 4L = 1/2 gal
The 1 gal is about twice as large

4 0

3 years ago

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ReWarding Brainly foR correct Answer

serious [3.7K]

Answer:

1 and 4 are statistical questions

Step-by-step explanation:

4 0

2 years ago

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Jeremy saves $35 per month over the first 7 months of the year. He saves $40 per month over the next 5 months of the year. If Je

cupoosta [38]

(35x7)+(40x5)=445
Hope this helps :D

8 0

3 years ago

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Write an explicit rule in function form for the sequence represented by the given terms.

hram777 [196]

Answer:

The general relation about a geoemtric sequence is

$a_{n}=a_{1}r^{n-1}$

For the first sequence, we have

$3=a_{1}r^{5-1}$

$147=a_{1}r^{7-1}$

Which is a system of equations. We can isolate a variable in the first equation to replace that expression into the second equation.

$a_{1}=\frac{3}{r^{4} }$

$147=\frac{3}{r^{4} }r^{6}$

$r^{2}=\frac{147}{3}\\ r=\sqrt[2]{49}\\r=7$

Now, we replace this value to find the other one

$3=a_{1}(7)^{4}\\ a_{1}=\frac{3}{2401}$

Therefore, the explicit rule function is

$a_{n}=\frac{3}{2401} \times (7)^{n-1}$

Now, we use the same process for the second sequence.

$10=a_{1}r^{3-1} \\a_{1}=\frac{10}{r^{2} }$

The second equation is

$1440=a_{1}r^{5-1}\\a_{1}=\frac{1440}{r^{4} }$

Now, we solve the following expression

$\frac{10}{r^{2} }=\frac{1440}{r^{4} }$

We solve for $r$

$\frac{r^{4} }{r^{2} }=\frac{1440}{10}\\r^{2}=144\\ r=\sqrt{144} \\r=12$

Then

$a_{1}=\frac{10}{(12)^{2} } =\frac{10}{144}=\frac{5}{72}$

Therefore, the function that models the second sequence is

$a_{n}=\frac{5}{72} \times (12)^{n-1}$

Notice that $a_{n}$ is the dependent variable and $n$ is the independent variable.

5 0

3 years ago

In the Social Psychology course, you receive a score of 77 on the second exam. You are told that the standard deviation of the s

Darina [25.2K]

Answer:

a) mean = u = 83

b) Your friend's score is 1.625 standard deviations below the mean

Step-by-step explanation:

Note:

- The correct question is as follows:

" In the Social Psychology course, you receive a score of 77 on the second exam. You are told that the standard deviation of the second exam is 8 and that your score is .75 standard deviations below the mean. "

Find:

a.What is the class mean of the second exam?

b.Your friend scored a 70 on the second exam. How many standard deviations below the mean is your friend’s score?

Solution:

- The class mean can be calculated by using the given data of your score being 0.75 standard deviation less than mean:

Your score = mean - 0.75*standard deviation.

- Plug in the values:

77 = mean - 0.75*8

mean = u = 83

- Now your friend has a score of 70 on second exam, using the above relation again we have:

Friend's score = mean - a*standard deviation.

Where, a is the constant to be found:

70 = 83 - a*8

a = (70 - 83 ) / -8

a = 1.625

- Your friend's score is 1.625 standard deviations below the mean

6 0

2 years ago