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tiny-mole [99]
3 years ago
13

What is the solution set represented by this number line graph?

Mathematics
1 answer:
Tamiku [17]3 years ago
6 0

Answer:

x ≥ 2

Step-by-step explanation:

Shaded circle means ≥ or ≤ . Since the arrow is pointing right, it's showing 2 is greater than or equal to x, meaning ≥ .

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the mall is 84 meters long. the post office is 38 meters long. how much longer is the mall than the post office
Flauer [41]

Step-by-step explanation:

length of mall=84m

length of post office=38m

how much longer is the mall than the post office=84-38= 46m

7 0
3 years ago
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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
Is -3 2/3 greater than -3 4/6
yanalaym [24]

Answer:

they are equal to each other

Step-by-step explanation:

no because 2/3 is a simplified version of 4/6, so they are equal

7 0
3 years ago
Read 2 more answers
Keneda dropped her folder in the hallway and her geometry notes went everywhere. Sophia is helping her gather her notes and pick
Gala2k [10]

The diagram involves the construction for copying angle FDE as angle HCG.

<h3>What is an angle?</h3>

An angles is formed by the intersection of two or more lines. Acute angles are angles less than 90 degrees, obtuse angles are greater than 90 degrees while right angles are equal to 90 degrees.

The diagram involves the construction for copying angle FDE as angle HCG.

Find out more on angle at: brainly.com/question/25770607

5 0
1 year ago
Please help!
Anni [7]

You have to solve for F so you need to get it by itself which means it would look like:

9/5C+32=F

Then you plug in 33 for C and solve. When you round to the nearest whole number, you get D. 91

8 0
2 years ago
Read 2 more answers
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