6.solve an inequality that represents the description and then solve Toni can carry up to 18 lb in her backpack.
Her lunch weighs 1 lb, her gym clothes weigh
2 lb, and her books (b) weigh 3 lb each. How
many books can she carry in her backpack?

Answers

Answer 1

Answer:

Answer:

nothing

Step-by-step explanation:

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To make lemonade you can mix 4 teaspoons of lemonade powder with 16 ounces of water. What is the ratio of powder towater?
4:32
32:8
24:64
32:128

Answers

Answer:

32:128

Step-by-step explanation:

divide all of it by 2, you get 16:64. Again, 8:32. Again, 4:16

There are four shelves of books along a wall in the library. On the top shelf, 16 of the 126 books are checked out. On the second shelf, 8 of the 137 books are checked out. On the bottom shelf, 17 of the 138 books are checked out. How many books are currently on the four shelves?

Answers

1st shelf = 126 - 16 = 110

2nd shelf = 137 - 8 = 129

3rd shelf = Doesn't say

Last shelf = 138 - 17 = 121

Add:

121 + 129 + 110 = 360

I think the answer is 360 but since it doesn't mention anything about the 3rd shelf, I'm not sure.

Hope this helped☺☺

there are currently 360 books on all the shelves

In a city known for many tech start-ups, 311 of 800 randomly selected college graduates with outstanding student loans currently owe more than $50,000. In another city known for biotech firms, 334 of 800 randomly selected college graduates with outstanding student loans currently owe more than $50,000. Perform a two-proportion hypothesis test to determine whether there is a difference in the proportions of college graduates with outstanding student loans who currently owe more than $50,000 in these two cities. Use α=0.05. Assume that the samples are random and independent. Let the first city correspond to sample 1 and the second city correspond to sample 2. For this test: H0:p1=p2; Ha:p1≠p2, which is a two-tailed test. The test results are: z≈−1.17 , p-value is approximately 0.242

Answers

Answer:

Null hypothesis: $p_(1) - p_(2)=0$

Alternative hypothesis: $p_(1) - p_(2) \neq 0$

$z=\frac{0.389-0.418}{\sqrt{0.403(1-0.403)((1)/(800)+(1)/(800))}}=-1.182$

$p_v =2*P(Z<-1.182)=0.2372$

Comparing the p value with the significance level given $\alpha=0.05$ we see that $p_v>\alpha$ so we can conclude that we have enough evidence to FAIL to reject the null hypothesis, and we can say that we don't have significant difference between the two proportions.

Step-by-step explanation:

1) Data given and notation

$X_(1)=311$ represent the number college graduates with outstanding student loans currently owe more than $50,000 (tech start-ups)

$X_(2)=334$ represent the number college graduates with outstanding student loans currently owe more than $50,000 ( biotech firms)

$n_(1)=800$ sample 1

$n_(2)=800$ sample 2

$p_(1)=(311)/(800)=0.389$ represent the proportion of college graduates with outstanding student loans currently owe more than $50,000 (tech start-ups)

$p_(2)=(334)/(800)=0.418$ represent the proportion of college graduates with outstanding student loans currently owe more than $50,000 ( biotech firms)

z would represent the statistic (variable of interest)

$p_v$ represent the value for the test (variable of interest)

$\alpha=0.05$ significance level given

2) Concepts and formulas to use

We need to conduct a hypothesis in order to check if is there is a difference in the two proportions, the system of hypothesis would be:

Null hypothesis: $p_(1) - p_(2)=0$

Alternative hypothesis: $p_(1) - p_(2) \neq 0$

We need to apply a z test to compare proportions, and the statistic is given by:

$z=\frac{p_(1)-p_(2)}{\sqrt{\hat p (1-\hat p)((1)/(n_(1))+(1)/(n_(2)))}}$ (1)

Where $\hat p=(X_(1)+X_(2))/(n_(1)+n_(2))=(311+334)/(800+800)=0.403$

3) Calculate the statistic

Replacing in formula (1) the values obtained we got this:

$z=\frac{0.389-0.418}{\sqrt{0.403(1-0.403)((1)/(800)+(1)/(800))}}=-1.182$

4) Statistical decision

Since is a two sided test the p value would be:

$p_v =2*P(Z<-1.182)=0.2372$

Please help me!! pel

Answers

Answer:

Step-by-step explanation:

plug that bad boy in and chug

$(-6)^(2) + 6(-6) +5$

36 + (-36) + 5

36 - 36 + 5

Answer:

It’s 5

Step-by-step explanation:

Because the new expression would be -6^2 + 6(-6) + 5 then u solve it...

36 + (-36) + 5

which is 5 have a great day!

Find an equation of the sphere with center (-3, 2 , 5) and radius 4. What is the intersection of this sphere with the yz-plane.

Answers

Answer:

The equation of the sphere with center (-3, 2 , 5) and radius 4 is $(x+3)^(2) +(y-2)^(2) + (z-5)^(2) = 16$

The intersection of the sphere with the yz- plane gave the equation $(y-2)^(2) + (z-5)^(2) = 7$ which is a 2D- circle with center (0,2,5) and radius $√(7)$ .