25 points!!!Let |u| = 10 at an angle of 45° and |v| = 13 at an angle of 150°, and w = u + v. What is the magnitude and direction angle of w?|w| = 9.4; θ = 72.9°
|w| = 9.4; θ = 107.1°
|w| = 14.2; θ = 72.9°
|w| = 14.2; θ = 107.1°

Answers

Answer 1

Answer:

D. |w| = 14.2; θ = 107.1°

Step-by-step explanation:

EDGE 2020

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Which functions have a maximum value greater than the maximum of the function g(x) = –(x + 3)2 – 4? Check all that apply. f(x) = –(x + 1)2 – 2 f(x) = –|x + 4| – 5 f(x) = –|2x| + 3
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Ordered pair of -x+3y=9
How to solve this type of question

16
16
41
64
1322 3230
16
20
What is the mean
here?

Answers

Answer:

590.625

Step-by-step explanation:

Add up all data values to get the sum

Count the number of values in your data set

Divide the sum by the count

Answer:

590.625

Step-by-step explanation:

To find the mean, add up all of the values then divide by the amount of values there are.

The total amount is 16 +16+ 41+ 64+ 1322+ 3230+ 16+ 20 = 4725

There are 8 total values so you divide by 8

590.625

A study published in 1993 found that babies born at different times of the year may develop the ability to crawl at different ages! The author of the study suggested that these differences may be related to the temperature at the time the infant is 6 months old. (Benson and Janette, Infant Behavior and Development [1993]. The study found that 32 babies born in January crawled at an average age of 29.84 weeks, with a standard deviation of 7.08 weeks. Among 21 July babies, crawling ages averaged 33.64 weeks, with a standard deviation of 6.91 weeks. Is this difference significant?

Answers

Answer:

$t=\frac{(29.84-33.64)-0}{\sqrt{(7.08^2)/(32)+(6.91^2)/(21)}}}=-1.939$

$p_v =2*P(t_(51)<-1.939)=0.0580$

Comparing the p value with the significance assumed $\alpha=0.01$ we see that $p_v>\alpha$ so we can conclude that we have enough evidence to FAIL to reject the null hypothesis, and the difference between the two groups is NOT significantly different at 1% of significance.

Step-by-step explanation:

Data given

$\bar X_(1)=29.84$ represent the mean for sample January

$\bar X_(2)=33.64$ represent the mean for sample July

$s_(1)=7.08$ represent the sample standard deviation for 1

$s_(2)=6.91$ represent the sample standard deviation for 2

$n_(1)=32$ sample size for the group 2

$n_(2)=21$ sample size for the group 2

$\alpha=0.01$ Significance level provided

t would represent the statistic (variable of interest)

Concepts and formulas to use

We need to conduct a hypothesis in order to check if the difference in the population means, the system of hypothesis would be:

Null hypothesis: $\mu_(1)-\mu_(2)=0$

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

We don't have the population standard deviation's, so for this case is better apply a t test to compare means, and the statistic is given by:

$t=\frac{(\bar X_(1)-\bar X_(2))-\Delta}{\sqrt{(\sigma^2_(1))/(n_(1))+(\sigma^2_(2))/(n_(2))}}$ (1)

And the degrees of freedom are given by $df=n_1 +n_2 -2=32+21-2=51$

t-test: Is used to compare group means. Is one of the most common tests and is used to determine whether the means of two groups are equal to each other.

With the info given we can replace in formula (1) like this:

$t=\frac{(29.84-33.64)-0}{\sqrt{(7.08^2)/(32)+(6.91^2)/(21)}}}=-1.939$

P value

Since is a bilateral test the p value would be:

$p_v =2*P(t_(51)<-1.939)=0.0580$

What integer represents 5°F below zero

Answers

Answer:

-5 degrees farenheit

Step-by-step explanation:

Answer:

-5

Step-by-step explanation:

Ok if Dan made 1412.42 and Aaron made 1187.92 And total amount of fuel for the truck was 418.91 how do fuel do I deduct for each driver? They both driving the same truck. I need to know how to divide the fuel evenly

Answers

First we should calculate the relation between how much they make and the fuel cost so we write

(1412.42+1187.92)/418.91=6.21

So that means that for every 6.21 dollars made 1 dollar of fuel must be deducted so now we calculate what they need to be deducted by:

Dan deduction = 1412.42/6.21= 227.41
Aaron deduction= 1187.92/6.21 = 191.29

What is the area of a circular pool with a diameter of 36 ft?

Answers

Answer:

1,017.36ft^2

Explanation:

Area of the circular pool = \pi r^2

r is the radius of the pool

Given

r = d/2

r = 36/2

r = 18ft

Area of the circular pool = 3.14(18)^2

Area of the circular pool = 3.14 * 324

Area of the circular pool = 1,017.36ft^2

Rebekah wants to read a certain number of pages each day during summer vacation.Today, she read 204 pages, which is 136% of her goal.
How many pages does Rebekah want to read each day?
A. 75 pages
B. 130 pages
C. 150 pages
D. 560 pages