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a_sh-v [17]
3 years ago
15

Solve for x

Mathematics
2 answers:
Nina [5.8K]3 years ago
7 0

Answer:

The solution for the inequality is -8 < x < -4

Step-by-step explanation:

Consider the provided inequality.  

-68 < 8x -4 < -36

Add 4 to the inequality.

-68+4 < 8x -4+4 < -36+4

-64 < 8x < -32

Divide the inequality by 8.

-8 < x < -4

Hence the solution for the inequality is -8 < x < -4

Ne4ueva [31]3 years ago
3 0

Answer:

The answer to question is:   -17/2 < x < -4

Step-by-step explanation:

Solve for x                             -68 < 8x -4 < -36

Add +4                                  - 68 + 4 < 8x - 4 + 4 < - 36 +4

Simplify                                  -68 < 8x < - 32

Divide by 8                             -68 / 8 < 8/8 x < -32/8

Simplify                                  -17/2 < x < -4

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A right circular cylinder is inscribed in a sphere of radius r. Find the dimensions of such a cylinder with the largest possible
Burka [1]

Answer:

Largest volume in terms of r =  4r^3π/ 3√3 or you could write it as  4√3r^3π/9.

Step-by-step explanation:

3 0
3 years ago
Nwhat is the range of data set for 8 1 7 6 14
bazaltina [42]

Answer:

14-1=13 range= 13

Step-by-step explanation:

The range of a set of data is the difference between the highest and lowest values in the set. To find the range, first order the data from least to greatest. Then subtract the smallest value from the largest value in the set.

4 0
3 years ago
Researchers fed mice a specific amount of Dieldrin, a poisonous pesticide, and studied their nervous systems to find out why Die
Elodia [21]

Answer:

Step-by-step explanation:

Part A

Mean = (2.2 + 2.4 + 2.5 + 2.5 + 2.6 + 2.7)/6 = 2.48

Standard deviation = √(summation(x - mean)²/n

n = 6

Summation(x - mean)² = (2.2 - 2.48)^2 + (2.4 - 2.48)^2 + (2.5 - 2.48)^2 + (2.5 - 2.48)^2 + (2.6 - 2.48)^2 + (2.7 - 2.48)^2 = 0.1484

Standard deviation = √(0.1484/6

s = 0.16

Standard error = s/√n = 0.16/√6 = 0.065

Part B

Confidence interval is written as sample mean ± margin of error

Margin of error = z × s/√n

Since sample size is small and population standard deviation is unknown, z for 98% confidence level would be the t score from the student t distribution table. Degree of freedom = n - 1 = 6 - 1 = 5

Therefore, z = 3.365

Margin of error = 3.365 × 0.16/√6 = 0.22

Confidence interval is 2.48 ± 0.22

Part C

We would set up the hypothesis test. This is a test of a single population mean since we are dealing with mean

For the null hypothesis,

H0: µ = 2.3

For the alternative hypothesis,

H1: µ > 2.3

This is a right tailed test

Since the number of samples is small and no population standard deviation is given, the distribution is a student's t.

Since n = 6

Degrees of freedom, df = n - 1 = 6 - 1 = 5

t = (x - µ)/(s/√n)

Where

x = sample mean = 2.48

µ = population mean = 2.3

s = samples standard deviation = 0.16

t = (2.48 - 2.3)/(0.16/√6) = 2.76

We would determine the p value using the t test calculator. It becomes

p = 0.02

Assuming significance level, alpha = 0.05.

Since alpha, 0.05 > than the p value, 0.02, then we would reject the null hypothesis. Therefore, At a 5% level of significance, the sample data showed significant evidence that the mean absolute refractory period for all mice when subjected to the same treatment increased.

6 0
3 years ago
Anjali paid $8 for a salad. She now has<br> $37. With how much money did she start?
sleet_krkn [62]

Answer:

Below.

Step-by-step explanation:

37+8= 45

45-8=37

so 45.

8 0
2 years ago
Read 2 more answers
Solve for x and y
BigorU [14]
You can use elimination
7x - 3y = 4
-10x + 3y = 2
Add both equations
-3x = 6, x = -2
Plug in -2 for x in one equation
7(-2) - 3y = 4
-14 - 3y = 4
-3y = 18, y = -6
Solution: x = -2, y = -6
4 0
2 years ago
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