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Grace [21]
3 years ago
9

5 to the power of 3 + 4 to the power of 2 - 3 to the power of 2

Mathematics
1 answer:
Neko [114]3 years ago
8 0

Answer:

Step-by-step explanation:

5^3+4^2-3^2= 132

125+16-9

132

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Someone answer urgent and if so I will mark brainliest
krok68 [10]

Answer:

B is the correct answer

Step-by-step explanation:

A. is wrong because 3/8 would shrink the circle, not expand it.

B. is correct because 8/3 means the circle will expand, not shrink.

C. is wrong because those coordinates only reposition and move the circle, not dilate.

D. is wrong because those coordinates only reposition and move the circle, not dilate.

3 0
3 years ago
Find the common ratio of the geometric sequence 6, 48, 384, ...​
gregori [183]

Answer:

r = 8

Step-by-step explanation:

The common ratio r of a geometric sequence is

r = \frac{a_{2} }{a_{1} } = \frac{a_{3} }{a_{2} } = ..... = \frac{a_{n} }{a_{n-1} }

Then

r = \frac{48}{6} = \frac{384}{48} = 8

8 0
3 years ago
PLEASE HELP, TIMED
vladimir1956 [14]

Answer:

your answer is c hope this helps let me know if im wrong or nah

Step-by-step explanation:


7 0
3 years ago
Read 2 more answers
Two machines are used for filling plastic bottles to a net volume of 16.0 ounces. A member of the quality engineering staff susp
aleksandrvk [35]

Answer:

Step-by-step explanation:

Hello!

The objective is to test if the two machines are filling the bottles with a net volume of 16.0 ounces or if at least one of them is different.

The parameter of interest is μ₁ - μ₂, if both machines are filling the same net volume this difference will be zero, if not it will be different.

You have one sample of ten bottles filled by each machine and the net volume of the bottles are measured, determining two variables of interest:

Sample 1 - Machine 1

X₁: Net volume of a plastic bottle filled by the machine 1.

n₁= 10

X[bar]₁= 16.02

S₁= 0.03

Sample 2 - Machine 2

X₂: Net volume of a plastic bottle filled by the machine 2

n₂= 10

X[bar]₂= 16.01

S₂= 0.03

With p-values 0.4209 (for X₁) and 0.6174 (for X₂) for the normality test and using α: 0.05, we can say that both variables of interest have a normal distribution:

X₁~N(μ₁;δ₁²)

X₂~N(μ₂;δ₂²)

Both population variances are unknown you have to conduct a homogeneity of variances test to see if they are equal (if they are you can conduct a pooled t-test) or different (if the variances are different you have to use the Welche's t-test)

H₀: δ₁²/δ₂²=1

H₁: δ₁²/δ₂²≠1

α: 0.05

F= \frac{S^2_1}{S^2_2} * \frac{Sigma^2_1}{Sigma^2_2} ~~F_{n_1-1;n_2-1}

Using a statistic software I've calculated the test

F_{H_0}= 1.41

p-value 0.6168

The p-value is greater than the significance level, so the decision is to not reject the null hypothesis then you can conclude that both population variances for the net volume filled in the plastic bottles by machines 1 and 2 are equal.

To study the difference between the population means you can use

t= \frac{(X[bar]_1-X[bar]_2)-(Mu_1-Mu_2}{Sa\sqrt{\frac{1}{n_1} +\frac{1}{n_2} } }  ~~t_{n_1+n_2-2}

The hypotheses of interest are:

H₀: μ₁ - μ₂ = 0

H₁: μ₁ - μ₂ ≠ 0

α: 0.05

Sa= \sqrt{\frac{(n_1-1)S^2_1+(N_2-1)S^2_2}{n_1+n_2-2}} = \sqrt{\frac{9*9.2*10^{-4}+9*6.5*10^{-4}}{10+10-2} } = 0.028= 0.03

t_{H_0}= \frac{(16.02-16.01)-0}{0.03*\sqrt{\frac{1}{10} +\frac{1}{10} } } = 0.149= 0.15

The p-value for this test is: 0.882433

The p-value is greater than the significance level, the decision is to not reject the null hypothesis.

Using a significance level of 5%, there is no significant evidence to reject the null hypothesis. You can conclude that the population average of the net volume of the plastic bottles filled by machine one and by machine 2 are equal.

I hope this helps!

8 0
3 years ago
If the angles of a quadrilateral measure 67 degrees 123 degrees and 58 degrees what is the measure of the other angle
Cloud [144]
The other angle measures 112°.
All the angles in any 4-sided polygon will add up to 360°, like how all angles in a triangle add up to 180°. A good way to remember this is with the sum of interior angles formula:
180 x (n - 2), where n is the number of sides.

Hope that helps! if you liked this answer please rate it as brainliest so i can gain the next rank!! thank you!!!!
7 0
3 years ago
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