Answer:
[tex]\huge\boxed{\sf Agnes\ Score = 688\ points}[/tex]
Step-by-step explanation:
[tex]\sf = 20 \% \ of \ 860 \\\\= \frac{20}{100} * 860\\\\= 2 * 86\\\\= 172 \ points[/tex]
Since, Agnes scored 20 % fever than Amy.
So,
Agnes Score = Amy's Points - 20 % of Amy's Points
Agnes Score = 860 - 172
Agnes Score = 688 points
[tex]\rule[225]{225}{2}[/tex]
Hope this helped!
~AnonymousHelper1807
According to the U.S. Census Bureau, 11% of children in the United States lived with at least one grandparent in 2009 (USA TODAY, June 30, 2011). Suppose that in a recent sample of 1640 children, 225 were found to be living with at least one grandparent. At a 2% significance level, can you conclude that the proportion of all children in the United States who currently live with at least one grandparent is higher than 11%? Use both the p-value and the critical-value approaches.
Round your answers for the observed value of z and the critival value of z to two decimal places, and the p-value to four decimal places.
Answer:
The decision rule is
Fail to reject the null hypothesis
The conclusion is
There is no sufficient evidence to show that the proportion of all children in the United States who currently live with at least one grandparent is higher than 11%
Step-by-step explanation:
From the question we are told that
The population proportion is [tex]p = 0.11[/tex]
The sample size is n = 1640
The number found to be living with at least one grandparent is [tex]k = 225[/tex]
The level of significance is [tex]\alpha = 0.02[/tex]
The null hypothesis is [tex]H_o : p = 0.11[/tex]
The alternative hypothesis is [tex]H_a : p > 0.11[/tex]
Generally the sample proportion is mathematically represented as
[tex]\^ p = \frac{ k }{n}[/tex]
=> [tex]\^ p = \frac{ 225 }{1640 }[/tex]
=> [tex]\^ p = 0.1372[/tex]
Generally the test statistics is mathematically represented as
[tex]z= \frac{\^ p - p }{ \sqrt{\frac{p(1- p)}{n} } }[/tex]
=>[tex]z = \frac{ 0.1372 - 0.11 }{ \sqrt{\frac{0.11(1- 0.11)}{1640} } }[/tex]
=>[tex]z = 0.0077[/tex]
From the z table the area under the normal curve to the left corresponding to 0.0077 is
[tex]p-value = P(Z > 0.0077) = 0.4969[/tex]
From the value obtained we see that [tex]p-value > \alpha[/tex] hence
The decision rule is
Reject the null hypothesis
The conclusion is
There is no sufficient evidence to show that the proportion of all children in the United States who currently live with at least one grandparent is higher than 11%
Which fraction is equivalent to 2/3 explain
Answer:
4/6, 8/12, 20/30
Step-by-step explanation:
They are equivalent to 2/3, because they can all be simplified to 2/3.
For example, 2 x 2 = 4 and 2 x 3 = 6; this gives me 4/6. I multiplied 2/3 by 2/2.
SO it can also be 2/3 = 4/6= 6/9 = 8/12 = 10/15 = 12/15 = 15/18 = 18/21 = 21/24 etc.
~hope it's right
- a b – 3ab - C+ 3ab2 - 2a² b + ab
where a = -1, b = -3 and c = = 10:
Answer:
Step-by-step explanation:
-a b-3ab-C+ 3ab2 - 2a² b + ab
where a = -1, b = -3 and c = = 10:
= -(-1)(-3)-3(-1)(-3)-10+3(-1)(-3)2-2(-1)²(-3)+(-1)(-3)
= -(3)-(3)-10+6(3)-2(3)+3
=-3-3-10+18-6+3
=-22+21
= -1
28327472 x 3238287382
Answer:
Exact Form:
91732495141558304
Decimal Form:
9.17324951 ⋅ 10^16
Step-by-step explanation:
Use long multiplication to evaluate.
Hope this helps <3
Find an equation of the tangent line to the of the function at the given point.
f(x) = 3x2 – In x (1,3)
The answer is 5x-y-2=0 but I don’t know how to get to it.
Step-by-step explanation:
The slope of the tangent line is equal to the derivative.
f(x) = 3x² − ln x
f'(x) = 6x − 1/x
f'(1) = 6(1) − 1/1
f'(1) = 5
Use point-slope form:
y − 3 = 5 (x − 1)
Simplify:
y − 3 = 5x − 5
0 = 5x − y − 2
Which of the following statements best describes the modulus of a complex number? Select all that apply.
the absolute value of a complex number
the distance that a complex number is from the pole
the distance that a complex number is from the origin
the complex number squared
Answer:
Step-by-step explanation:
i beleive its the 1st or 3rd option
Write the equation so that a = 1: x2 + x =
The answer is : x^2 + x = x ( x + 1 )
What is algebraic equation ?
In mathematics, an algebraic expression is an expression built up from constant algebraic numbers, variables, and the algebraic operations. For example, 3x² − 2xy + c is an algebraic expression.
There are various method through which we can solve or define the algebraic expression. One definition I have mentioned earlier..
To solve this equation
if a = 1, the equation x^2 + x = can be completed as follows :
x^2 + x = x ( x + 1 )
Therefore, the final answer is : x^2 + x = x ( x + 1 )
To know more about algebraic expression visit : https://brainly.com/question/953809
#SPJ1
Suppose Z3 = 24 - 22. Which quadrant contains z3?
O quadrant 1
O quadrant 11
O quadrant III
quadrant IV
Answer:
D
Step-by-step explanation:
i think
What is the slope m in the equation y = -2x + 5
Answer:
m = -2
General Formulas and Concepts:
Slope-Intercept Form: y = mx + b
m - slope
b - y-intercept
Step-by-step explanation:
Step 1: Define function
y = -2x + 5
Step 2: Break function
Slope m = -2
y-intercept (0, 5)
Use the given conditions to find the exact value of the expression.
9514 1404 393
Answer:
(7 -24√3)/50 = 0.14 -0.48√3
Step-by-step explanation:
Sine is negative and cosine is positive in the 4th quadrant, so ...
sin(α) = -√(1 -cos(α)²) = -√(1 -576/625) = -7/25
Then the cosine of the angle sum is ...
cos(α +5π/6) = cos(α)cos(5π/6) -sin(α)sin(5π/6)
= (24/25)(-√3/2) -(-7/25)(1/2)
= (7 -24√3)/50 = 0.14 -0.48√3
write the equation in slope-intercept form. y - 2 = 6 (x + 1)
Answer:
y=6x+8
Step-by-step explanation:
Write in slope-intercept form, y=mx+b.
Investors buy a studio apartment for 140,000. Of this amount, they have a down payment of 35,000. Their down payment is what percent of the purchase price? What percent of the purchase price would a $56,000 down payment be?
Answer:
25%40%Step-by-step explanation:
Cost of apartment = 140000Down payment = 35000Down payment of 35000 is:
35000/140000*100% = 25%Down payment of 56000 is:
56000/140000*100% = 40%Answer:32553
Step-by-step explanation:1,400x35000x 56000/ 140000
Is the amount of time it takes to download a file from the internet discrete or continuous?
Answer:
The amount of time that is spent downloading internet files is a continuous measurement and is not discrete, because it will always follow the same length of time that is estimated to download, but due to changes of internet WiFi connectivity and other background programs this can all affect the speed of the computer programs responsible for downloading the files.
Answer/Step-by-step explanation:
The amount of time that is spent downloading internet files is a continuous measurement and is not discrete, because it will always follow the same length of time that is estimated to download, but due to changes of internet WiFi connectivity and other background programs this can all affect the speed of the computer programs responsible for downloading the files.
HELPPPPOP PLEASEEE ILL GIVE BRAINLIEST!!!!
question 4. Solve each compound inequality.
Answer:
-7/2≤x<3
Hope this helps!
Answer:
Step-by-step explanation:
bvcvcvcbvcbvcbvbvcv
how many solutions does this equations have 3(2.4x+4)=4.1x+7+3.1x?
Answer:
3(2.4x+4)=4.1x+7+3.1x has no solutions.
f(x) = -7x + 1, find f(-2) x
f=-2
Okay, so basically just plug -2 in for x in the equation and solve.
-7(-2) + 1
Multiply first
14 + 1
Now add
15
please help! refer to the picture!
Step-by-step explanation:
ans:
option
c
mark me as brainliest
Perform the function compositions
Answer:
1. 4x^2-24x^2+37
2.16x^4+8x^2-2
Step-by-step explanation:
Which of the following equations demonstrates the Identity Property of One? A. 3 - 2 = 1 B. 4 • 1 = 14 C. 1 • b = b D. 0 + 1 = 1
Martin spent $68 on a new drone that he had been saving for. Now, he has $41 left in his savings jar. Click the equation that could be used to find the total of his savings, s, before he bought the drone.
Answer:
Step-by-step explanation:
109
If f(x) = 1.2-3.4x what is the value of f(5.1)
Answer:
−f(5.1) = 16.14
Step-by-step explanation:
Hope this helps! Stay safe!
what is x
4 x 3x = 48
Answer:
x=4
Step-by-step explanation:
4 x (3x4)=48
you do 48 divided by 4 equals 12. Then 12 divided by 3 and you get X = 4
Please help me out quickkkkkkkkkkkkkk
Answer:
5 4/7 feet
Step-by-step explanation:
Please help it’s due
4 = 130
2 = 50
1 = 90
3 = 40
:)
need someone’s help with this please!!!
Help D: PLEASE STAT ON THE DOT
Answer:
Mitch made a mistake in step 1.
Step-by-step explanation:
7.7 = w - 2
Add two to both sides
7.7 + 2 = w - 2 + 2
9.7 = w is the right answer.
What number represents the same amount as 8 hundreds + 10 + 0 ones?
Answer:
810
Step-by-step explanation:
hope it help you ☺☺....
please help with this question
Answer:
Rotation
Step-by-step explanation:
Rotation around the origin I believe
E
Find the equation of the line that is perpendicular to the given line and passes through the given point.
Enter the right side of the equation as a single fraction.
y =
5x - 3
-;(1,1)
4
The equation is y =
Answer:
y=(5x-3)/4
y=(5/4)x-3/4
Perpendicular slops come from reversing the numerator and denominator and making it negative so the new slope would be:
m=-4/5
Then you use point slope formula and plug in your values:
y-y1=m(x-x1)
y-1=-4/5(x-1)
y=(-4/5)x+9/5
Hope this helps you, have a night day/night.
Answer:
I don't know
Step-by-step explanation:
You make me brainest I have will answer
Which equation represents the line that passes through
the point (10, 1) and is perpendicular to the graph of
2x - y = 7?
Answer:
x+2y=12
Step-by-step explanation:
I used DESMOS graphing calculator. I highly recommend it for problems like this.