Step-by-step explanation:
slope is y2-y1/x2-x1
-3-4=-7
-1-4=-5
now that you have -7/-5, or negative seven fifths, simplify.
you get -0.4, or -2/5 as your slope
Hope this helps!!
A survey recently reported that the mean national annual expenditure for inpatient and outpatient services of all persons over 64 years of age was $5,423 with a standard deviation of $979. A random sample of 352 persons over age 64 living in Sudbury had an average expense of $5,516. We want to test whether the mean inpatient and outpatient expense of all Sudbury residents over age 64 is higher than the national average of $5,423. Calculate the P-value for this test.
Using the z-distribution, it is found that the p-value for this test is of 0.0375.
At the null hypothesis, it is tested if the expenses are the same as the national average, that is, of $5,423. Hence:
[tex]H_0: \mu = 5423[/tex]
At the alternative hypothesis, it is tested if it is higher, hence:
[tex]H_1: \mu > 5423[/tex]
We have the standard deviation for the population, thus, the z-distribution is used. The test statistic is given by:
[tex]z = \frac{\overline{x} - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
The parameters are:
[tex]\overline{x}[/tex] is the sample mean. [tex]\mu[/tex] is the value tested at the null hypothesis. [tex]\sigma[/tex] is the standard deviation of the sample. n is the sample size.For this problem, the values of the parameters are: [tex]\overline{x} = 5516, \mu = 5423, \sigma = 979, n = 352[/tex]
The value of the test statistic is:
[tex]z = \frac{\overline{x} - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
[tex]z = \frac{5516 - 5423}{\frac{979}{\sqrt{352}}}[/tex]
[tex]z = 1.78[/tex]
The p-value is the probability of finding a sample mean above $5,516, which is 1 subtracted by the p-value of z = 1.78.
Looking at the z-table, z = 1.78 has a p-value of 0.9625.1 - 0.9625 = 0.0375
Hence, the p-value for this test is of 0.0375.
A similar problem is given at https://brainly.com/question/25549474
For each value of U determine whether it is a solution to 35>24+u
CAN SOMEONE PLEASE HELP ME FIND THE AREA OF THIS SHAPE AND SHOW WORK 20 POINTS!!!
Answer:
10 units
Step-by-step explanation:
Area of smaller ∆ ,
= 1/2 * 2 * 2 = 2 u
Area of larger ∆ ,
= 1/2 * 4 * 4 = 8u
Total area = 8u + 2u = 10 units
Amanda's parents invested $10,000 into a savings account for her college fund when she was born. The savings plan compounds interest yearly at a rate of 3.75%. How much money will be in Amanda's college fund when she turns 18? Round your answer to the nearest cent.
A. $20,652.19
B. $19,149.68
C. $20,146.75
D. $19,399.29
Answer:
D. $19,399.29[tex] \: \: \: \: \: \: [/tex]
Hey I just wanted to know if anyone could help me out with this, I really would love the help.
Thank you :)
Answer:
3x-6 A.
Step-by-step explanation:
I would glady help anyone.
You welcome.
What does ± indicate when its used like 2±1?
Answer:
it is in quadratic equation meaning you use Plus or minus
Answer:
I is both the plus and minus sign so and 2+1 and subtract 2-1 both answers are the answer
Step-by-step explanation:
The plus–minus sign, ±, is a mathematical symbol with multiple meanings. In mathematics, it generally indicates a choice of exactly two possible values, one of which is obtained through addition and the other through subtraction.
The sign may also represent an inclusive range of values that a reading might have.
(PHOTO) please help need this done by tomorrow thank you.
Answer:
x=9
Step-by-step explanation:
The purple expressions are equal because they are Z angles.
So solve
2x + 15 = 5x - 12
=>
15 + 12 = 5x - 2x
27 = 3x
x = 27/3 = 9
If Clare takes out a mortgage for 22 years at an interest rate of 3% and her monthly repayments are $984, what is the principal loan amount?
Using simple interest, it is found that the principal loan amount was of $156,491.6.
The amount of money after t years in simple interest is modeled by:
[tex]A(t) = A(0)(1 + rt)[/tex]
In which:
A(0) is the initial amount, which is also called principal. r is the interest rate, as a decimal.In this problem, she paid $984 monthly for 22 years, hence:
[tex]t = 22, A(t) = 984(22)(12) = 259776[/tex]
Interest rate of 3%, hence [tex]r = 0.03[/tex]
Then:
[tex]A(t) = A(0)(1 + rt)[/tex]
[tex]259776 = A(0)[1 + 0.03(22)][/tex]
[tex]A(0) = \frac{259776}{1 + 0.03(22)}[/tex]
[tex]A(0) = 156491.6[/tex]
The principal loan amount was of $156,491.6.
A similar problem is given at https://brainly.com/question/13176347
What is the length of CD, given that figure ABCD is a rectangle?
B
13
С
10
A
D
O A. 26
O B. 10
O C. 13
O D. 20
Answer:
It'll be B.10
Step-by-step explanation:
Rectangles always have 2 side lower than the other2 . BC and AD are same length so they are both 13. BA and CB are the same length to It has to be 10.
Hope this helps :)
After leaving his house, Nate drove fifteen minutes to take his oldest daughter to the middle school and then drove ten minutes to take his two younger daughters to the elementary school. Next, Nate drove twenty-five minutes to work. If Nate arrived at work at 9:30 a.m., what time did he leave his house?
A. 8:10 a.m.
B. 8:20 a.m.
C. 8:30 a.m.
D. 8:40 a.m.
Answer:
D. He left his house at 8:40 a.m
H . E . L . P
this work is due tommorow, and i have absolutely no idea what the answer is. please help me if you can !
( don’t comment for points. )
Answer:
A) 25
B) 64
Step-by-step explanation:
Hope this helps :))
Step-by-step explanation:
x= 5
a) 5² = 5×5 =25
b) (5+3)² = 8²
= 8 × 8
= 64
What’s 19.50 simplified?
Answer:
39/2
Step-by-step explanation:
This is out of context
Answer:
1950/100
Step-by-step explanation:
JACK'S bag weighed 10.5
Pounds and William's bag
weighed 10.05 POUNDS.
Who's bag weighed more?
How much more did it
weigh?
18)Angel A and angle b are vertical angles so they are congruent angles. If angle A is (4x+5)° and angle B (-2(x-17.5))° Find the measure of angle B
Answer:
Measure of Angle B = 25°
Step-by-step explanation:
Something to keep in mind: Angle A and B are Vertical Angles so they will always be equal
so;
Angle A = Angle B
(4x + 5) = (-2(x - 17.5))
4x + 5 = -2x + 35 (<= Solved by distributive property)
6x + 5 = 35
6x = 30
x = 5
Now we can find the measure of Angle B, by substituting x by 5 in the B equation;
-2 (x - 17.5) = Angle B
-2 (5 - 17.5) = Angle
-2 (-12.5) = Angel B
25 = Angle B
so measure of angle B = 25
Hope this helps!
the length of a rectangle is 3 more than 3 times it’s width. the perimeter of the rectangle is 174 inches. what is the length of the rectangle?
Answer:
66 anches beacause i don't know
Step-by-step explanation:
The sum of two numbers is 65. The larger number is 5 more than the smaller number. What are the numbers?
Step-by-step explanation:
the numbers : x, y
x + y = 65
x = y + 5
we use the second equation in the first equation :
y + 5 + y = 65
2y + 5 = 65
2y = 60
y = 30
x = y + 5 = 30 + 5 = 35
Change 41/7 from an improper fraction to a mixed number.
Answer:
5 6/7
Step-by-step explanation:
how many times does 7 go onto 41?
7 x 5 = 35
remainder is 6 so;
5 6/7
Hey there!
41/7
= (5 * 7 + 6)/7
= (5 * 7)/7 + 6/7
= 5 6/7
= 5 6/7 ≈ 41/7
Therefore, your answer is: 5 6/7
Good luck on your assignment and enjoy your day’
~Amphitrite1040:)
Which element should be used to help clarify a complicated idea in a text? (1 point) O a new topic O a bibliography O a visual O a research question w
The element which should be used to help clarify a complicated idea in a text is ; A research question.
According to the question;
We are required to determine which element should be used to help clarify a complicated idea in a text.A research question is the best fit which should be used to help clarify a complicated idea in a text.
This is so because; a research question provides a basis for accessing all perspectives there is to the complicated idea.
Read more:
https://brainly.com/question/18675306
Answer:
D:) a research question.
Step-by-step explanation:took the test
Where is the blue dot on the number line ?
Answer:
-12
Step-by-step explanation:
Since the segments go by 3, with each segment to the left I subtracted 3, so it was 0, -3, -6, -9, and then the blue dot stood on the segment -12, and that's your answer.
Tell me if I'm wrong :)
Answer: -12
Step-by-step explanation: The number line is going by 3's, so since the blue dot is 4 dashes away from 0 with the first dash being -3, that can only mean that the answer is -12.
Hope this helped and let me know if its correct!
-KC
name the following geometric figures in as many ways as you can.
•————•
X W
•————•
X W
This is called as line segment XW. The 2 dots at the ends indicate that the line segment has a starting point & an end point.
______
RainbowSalt2222 ☔
Out of the 25 students in Mrs. Green's class, 15 have a pet. What percent of the students in Mrs. Green's class have a pet?
what is -2(x+1) simplified
Answer:
-2x - 2
Step-by-step explanation:
-2(x + 1)
[tex](-2)(x+1)[/tex] [tex](-2)(x)+(-2)(1)[/tex] [tex]-2x - 2[/tex]Therefore, the answer is -2x - 2.
Answer:
-2x - 2
Step-by-step explanation:
Simplify:
-2(x+1)-2(x) + -2(1)-2x - 2-Chetan K
I need some help it is to early for my brain to work
Answer:
5 minimum 32 maximum
Step-by-step explanation:
please help 368.9 − 234.78
Answer:
134.12
Step-by-step explanation:
Subtraction.
Tell me if you want a step by step.
Hope this helped. :)
10% is what number is 28
Answer:
28 is 10% of 280
Steps to solve "28 is 10 percent of what number?"
We have, 10% × x = 28
or,
10
100
× x = 28
Multiplying both sides by 100 and dividing both sides by 10,
we have x = 28 ×
100
10
x = 280
If you are using a calculator, simply enter 28×100÷10, which will give you the answer.
PLS HELP
What is 3/4 of a penny in decimal form?
Answer:
0.75 cents or $0.0075
Step-by-step explanation:
3/4 = 75/100 = 0.75
0.75 of a penny or $0.0075 in dollars
pls mark brainliest if this helped :)
3/4 of a penny in decimal form is 0.75 of a penny or $0.0075 in dollars.
What is a penny?
The cent, the United States one-cent coin (symbol: ¢), usually named the "penny", exists as a unit of currency equaling one one-hundredth of a United States dollar.
During the colonial period, people utilized a variety of coins from other nations. A popular coin stood the British penny, which was the least amount of the British pound coin. That's why we call our cent a “penny.”
Given: 3/4 of a penny
3/4 = 75/100 = 0.75
0.75 of a penny or $0.0075 in dollars
To learn more about decimal points refer to:
brainly.com/question/15205491
#SPJ2
Jake Visits his relatives on Thanksgiving. He first travels to his parents'
place which is 5 miles straight NORTH. He then travels to his grandparents'
which is 5 miles straight WEST from his parent's house. What is the total
distance of Jake's Journey? What is the total displacement of Jake's
Journey?*
Distance 10 Miles: Displacement 10 Mlles
Distance 5 Miles: Displacement 5 miles
Distance 10 miles: Displacement 7.07 miles
Distance 5 miles : Displacement 7.07 miles
Answer:
Distance 10 miles: Displacement 7.07 miles
Step-by-step explanation:
Let's depict Jake's journey on the Cartesian coordinate axis. Let Jake initially be at the point (0 ; 0 ) . Then you can determine how far from the starting point (0; 0) it has moved away (displacement ). According to the Pythagorean theorem , we will find it He walked 10 miles And displacement is found by the Pythagorean theorem
[tex]\bf displacement = \sqrt{5^2+5^2} =\sqrt{50} \approx 7.07m[/tex]
Then the answer is : Distance 10 miles: Displacement 7.07 miles
Brice brought two 2-liter bottles of sport drink to serve at basketball practice. How many 100-milliliter servings of sport drink did Brice bring?
A
Answer:
20 servings of 100-milliliter sports drink
Step-by-step explanation:
what is -4 3/4 = x - 1 1/5
Answer:
12.95 or in fraction form 259/20Step-by-step explanation:
Do you want to know how to write the decimal number 12.95 as a fraction?
Here we will show you step-by-step how to convert 12.95 so you can write it as a fraction.
You can take any number, such as 12.95, and write a 1 as the denominator to make it a fraction and keep the same value, like this:
12.95 / 1
To get rid of the decimal point in the numerator, we count the numbers after the decimal in 12.95, and multiply the numerator and denominator by 10 if it is 1 number, 100 if it is 2 numbers, 1000 if it is 3 numbers, and so on.
Therefore, in this case we multiply the numerator and denominator by 100 to get the following fraction:
1295 / 100
Then, we need to divide the numerator and denominator by the greatest common divisor (GCD) to simplify the fraction.
The GCD of 1295 and 100 is 5. When we divide the numerator and denominator by 5, we get the following:
259 / 20
Therefore, 12.95 as a fraction is as follows:
259 / 20
True / False: ANOVA, Part I. Determine if the following statements are true or false in ANOVA, and explain your reasoning for statements you identify as false.
(a) As the number of groups increases, the modified significance level for pairwise tests increases as well.
(b) As the total sample size increases, the degrees of freedom for the residuals increases as well.
(c) The constant variance condition can be somewhat relaxed when the sample sizes are relatively consistent across groups.
(d) The independence assumption can be relaxed when the total sample size is large.