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Xelga [282]
3 years ago
7

- 5x+6=-12x+62 Simplify your answer as much as possible.

Mathematics
2 answers:
S_A_V [24]3 years ago
7 0

Answer:

x=8

Step-by-step explanation:

-5x+6=-12x+62

-5x+12x=62-6

7x=56

x=8

Nataly [62]3 years ago
3 0
The answer is x=8
Hope that helps
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Latoya used 4 gallons of ginger ale, 1 gallon of orange juice, and 1 gallon of pineapple juice to make punch for her brother's b
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Answer: 96 cups

Step-by-step explanation: A gallon  holds 128 ounces there were 6 gallons used to make the punch. 128x6= 768 ounces

A cup holds 8 ounces so you would do 768/8 and that would give you 96 cups

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2 years ago
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The sides of a triangle measures 6 inches, 8inches, and 10inches. The triangle has one 90 degree angle. What type of triangle is
IrinaVladis [17]
It's a right triangle as it has the 90 degree corner and 3 different lengths

5 0
3 years ago
There are 3 consecutive integers. Four times the smallest integer is equal to six more than three times the largest integer. Wha
Aliun [14]

Answer:

5

Step-by-step explanation:

Let the smallest integer equal x - 1, the next one equal x, and the last one equal x + 1.

4(x-1) = 3(x-1) + 6

x-1 = 5

x = 6

The smallest integer is x - 1, which is equal to 5. Thus, the smallest of the three integers is 5.

5 0
3 years ago
Work out the area of this circle. Take pie to be 3.142 and give your answer to 2 decimal places.
yan [13]

Answer:

Work out the area of this circle. Take pie to be 3.142 and give your answer to 2 decimal places.

Step-by-step explanation:

8 0
3 years ago
PLEASE HELP ME I BEG I WILL GIVE BRAINLIEST
ohaa [14]

Answer:

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.

Step-by-step explanation:

7 0
3 years ago
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