Answer:
this is the solution
(2−7)(3+4)
Step-by-step explanation:
Answer:
(X+1)(6x-21)
Step-by-step explanation:
6x^2- 13x - 28
6x^2-(21-6)x-28
6x^2-21x+6x-28
X(6x-21)+1(6x-21)
(X+1)(6x-21)
A cone has a height of 5 inches and a radius of 4 inches. What is its volume?
Use a ~ 3.14 and round your answer to the nearest hundredth.
9514 1400 393
Answer:
83.73 in³
Step-by-step explanation:
It is appropriate to use the formula for the volume of a cone:
V = (1/3)πr²h
V = (1/3)(3.14)(4 in)²(5 in) ≈ 83.73 in³
The volume of the cone is about 83.73 in³.
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%
BRAINLIEST: PLS HELP ME ASAP. Guaranteed brainliest and 20 points for the person who answers this. Thank you very much.
Answer:
whats your question? thanks for points
State whether the following function is a linear function f(x)=x-4
What is J/-12 > 9??
Answer:
j > - 108
Step-by-step explanation:
Step 1:
j / - 12 > 9 Equation
Step 2:
j > 9 × - 12 Multiply - 12 on both sides
Answer:
j > - 108
Hope This Helps :)
Answer:
j<−108
Step-by-step explanation:
j
−12
>9
Step 1: Simplify both sides of the inequality.
−1
12
j>9
Step 2: Multiply both sides by 12/(-1).
(
12
−1
)*(
−1
12
j)>(
12
−1
)*(9)
j<−108
Answer:
j<−108
I need help pleaseeeeeeee
Answer:
T = 7M/N
Step-by-step explanation:
Cross multiply
NT = 7M
Divide by N
NT/N = 7M/N
T = 7M/N
1/3 as a decimal and percent please answer !!
Answer:
decimal: .3333(repeatin)
percent:33.333333...%
Step-by-step explanation:
hope this helpss
have a good night
nd good luck w thiss
Answer:
Decimal: .33
Percent: 33%
Step-by-step explanation:
To get the decimal, you divide the top number by the bottom number. So you divide 1 by 3, which equals .33
To get the percentage, you move the deciaml back twice.
.33 -> 3.3 -> 33.=33%
1. Grace was given the equation 2x + 20 = 15. She decides to add 10 to both sides of the equation. a.) Is that an acceptable move? b.) What would her new equation be?
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Answer:
yes2x +30 = 25Step-by-step explanation:
Adding the same number to both sides of the equation is an acceptable move. The addition property of equality tells Grace that the value of the variable will remain unchanged by such a move.
Her new equation would be ...
2x +20 +10 = 15 +10
2x +30 = 25 . . . . the result of Grace's move
_____
Additional comment
There may be very good reasons why Grace would want to do that. If solving the equation is Grace's intent, that move would be counterproductive. For the purpose of solving the equation, it would be more productive to either subtract 20 from both sides, or divide both sides by 2. These steps would give, respectively, ...
2x = -5
x +10 = 7.5
Yuri has 9 teaspoons of sugar. The ratio of teaspoons to tablespoons is 3:1. How many tablespoons of sugar does Yuri have?
gggggggggggggggggggggggggggggggggggggggggggggggg
For a certain automobile, M(x)=−.015x^2+1.42x−7.8, 30≤x≤60, represents the miles per gallon obtained at a speed of x miles per hour. (a) Find the absolute maximum miles per gallon and the speed at which it occurs. (b) Find the absolute minimum miles per gallon and the speed at which it occurs.
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Answer:
maximum: 25 121/150 mpg at 47 1/3 mphminimum: 21.3 mpg at 30 mphStep-by-step explanation:
A graph can be helpful. It can show the locations of the maximum and minimum.
__
The maximum is found at the vertex of the parabola, located where ...
x = -b/(2a)
x = -1.42/(2(-0.015)) = 47 1/3
The value M(47 1/3) is ...
M(47 1/3) = (-0.015(47 1/3) +1.42)(47 1/3) -7.8 = 0.71(47 1/3) -7.8 = 25 121/150
The maximum gas mileage is 25 121/150 ≈ 25.8067 mpg at 47 1/3 mph.
__
The minimum will be at one end or the other of the interval. Here, the maximum is farther from the lower end of the domain, so we expect to find the minimum there:
M(30) = (-0.015(30) +1.42)(30) -7.8 = 0.97(30) -7.8 = 21.3
The absolute minimum gas mileage is 21.3 mpg at 30 mph.
Consider the transformations performed on quadrilateral WXYZ.
. Translate 7 units to the right and 4 units up.
• Then, rotate 180° about the origin.
Do yk the answer ? Now ?
Answer:
(-4, -5)Step-by-step explanation:
Point Z has coordinates: (-3, 1)
Translate 7 units to the right and 4 units up: (x + 7, y + 4)
Z(-3, 1) → Z'(-3 + 7, 1 + 4) = (4, 5)Then, rotate 180° about the origin: (x, y) → (-x, -y)
Z'(4, 5) → Z''(-4, -5)Solve for x
Enter the solutions from least to greatest.
(x – 7)(-4x − 2) = 0
lesser x =
greater x =
Answer:
X= -1/2 X= 7
Answer:
lesser x= -5 Greater X= 5
Step-by-step explanation:
−x
2
−8
−x
2
x
2
=−33
=−25
=25
Hint #22 / 3
Now we can take the square root of both sides, not forgetting to take both the positive and negative roots of the right-hand side:
\begin{aligned} \sqrt{x^2}&=\sqrt{25} \\\\ x&=\pm 5 \end{aligned}
x
2
x
=
25
=±5
Hint #33 / 3
In conclusion,
\begin{aligned} \text{lesser }x &= -5 \\\\ \text{greater } x &= 5 \end{aligned}
lesser x
greater x
=−5
=5
What is the slop of this table?Help fast!
A plane flies with a speed of 600 mph. What distance will it fly
in 3 /5 hours,11/12 hours, 4/15 hours?
Answer:
3/5=360 mph 11/12=550 4/15=160
Step-by-step explanation:
what is the value of h in the triangle
Answer:
I think the answer is 7.2
HELP ASAP WILL GIVE BRAINLIEST! Thanks
Answer:
I believe it's D
Step-by-step explanation:
what is equivalent to x+x ?
a)xx
b)2x
c)x^2
d)2^x
Answer:
b
Step-by-step explanation:
I think it is B because x+x is two x's so it would be 2x. I hope this helped have a good day
Find the slope of the line through the given points.
(8,48) and (16, 24)
Answer:
-3
Step-by-step explanation:
48-24 = 24
8-16 = -8
24/-8 = -3
Tasia’s bank account balance was -$25.64. She deposited a check into her bank account and her new balance is $152.29. How much was the check that Tasia deposited into her account?
Answer:
$177.93
Step-by-step explanation:
Answer:
The check is 177.93$
Step-by-step explanation:
I did 25.64+152.29= 177.93
U can check it by doing -25.64+177.93
which of these statements is true for 89.033
In the equation
2
3
x
=
10
, what is the value of x?
Answer:
23/10 or 15
Step-by-step explanation:
In the diagram, DC bisects
We are given that ∠BDA is bisected
this means that ∠BDC = ∠ADC
Finding x :
Since ∠BDC = ∠ADC:
7x - 19 = 9x - 37
2x = 18
x = 9
Finding ∠ADC:
We are given that ∠ADC = 9x - 37
now that we know that x = 9, replacing x:
∠ADC = 9(9)- 37
∠ADC = 44°
The Miller's are comparing babysitting services for their two children.
The Babysitter's Block charges a rate of $15 an hour per child plus an initial fee of $25 per household.
Super Sitters charges a flat rate of $20 an hour per child.
For ________hours of service, both babysitting services would cost the same.
Answer:
After 5 hours of service, both babysitting services would cost the same.
Step-by-step explanation:
Babysitter's Block: y = 15x + 25
Super Sitters: y = 20x
15x + 25 = 20x
Subtract 15x from both sides;
25 = 5x
Divide both sides by 5;
x = 5
For 5 hours of service, both babysitting services would cost the same.
A rectangle has a perimeter of 32 in. Find the length and width of the rectangle under which the area is the largest.
a. Let the width to be x and the length to be y , then the quantity to be maximized is (expressed as a function of both x and y) A=_____
b. The condition that x and y must satisfy is y=______
Answer:
Length of the rectangle is 8 in and the breadth is 8 in.
a. [tex]A=xy[/tex]
b. [tex]y=16-x[/tex]
Step-by-step explanation:
Length = x
Breadth = y
Area is given by [tex]A=xy[/tex]
Perimeter of rectangle is given by
[tex]2(x+y)=32\\\Rightarrow x+y=16\\\Rightarrow y=16-x[/tex]
The condition that x and must satisfy is [tex]y=16-x[/tex]
So, area is
[tex]A(x)=x(16-x)\\\Rightarrow A(x)=16x-x^2[/tex]
Differentiating with respect to x we get
[tex]A'(x)=16-2x[/tex]
Equating with zero
[tex]0=16-2x\\\Rightarrow x=\dfrac{16}{2}\\\Rightarrow x=8[/tex]
Double derivative of A(x)
[tex]A''(x)=-2[/tex]
So [tex]A''(x)<0[/tex] which means [tex]A(x)[/tex] is maximum at [tex]x = 8[/tex]
[tex]y=16-x=16-8\\\Rightarrow y=8[/tex]
So length of the rectangle is 8 in and the breadth is 8 in.
Given that f(x)= [tex]\frac{x^{2}-3 }{2}[/tex]
A) Find [tex]f^{-1}(x)[/tex]
B) Find [tex]f^{-1} (11)[/tex]
Separate your 2 answers for part B with a comma.
I've solved [tex]f^{-1}(x)[/tex], which was [tex]\sqrt{2x+3}[/tex]
However after this I do not see how I can get another value other than 5.
Answer:
[tex]x=5,-5[/tex]
Step-by-step explanation:
[tex]\\ y=\frac{x^2-3}{2}\\\\ x=\frac{y^2-3}{2}\\\\ 2x=y^2-3\\\\ y^2=2x+3\\\\ f^{-1}(x)=\pm\sqrt{2x+3}\\\\ f^{-1}(x)=\pm\sqrt{2(11)+3}\\=\pm\sqrt{25}=\pm 5[/tex]
The difference of 9 and three times a number is that number increased by 5. Find the number. just give me the equation
Answer:
9-3n=n+5
Step-by-step explanation:
n= the number
12 divide 4 x 7 - 18 =
Answer:
20
Step-by-step explanation:
Answer:
3
Step-by-step explanation:
If a baseball player get a hit in 31% of his at-bats, what is the probability that he will
get a hit 5 at-bats in a row?
Given:
A baseball player get a hit in 31% of his at-bats.
To find:
The probability that he will get a hit 5 at-bats in a row.
Solution:
Since, a baseball player get a hit in 31% of his at-bats, therefore
Probability that he get a hit = [tex]\dfrac{31}{100}[/tex]
= [tex]0.31[/tex]
Now, the probability that he will get a hit 5 at-bats in a row is
[tex]P=0.31\times 0.31\times 0.31\times 0.31\times 0.31[/tex]
[tex]P=(0.31)^5[/tex]
[tex]P=0.0028629151 [/tex]
Therefore, the required probability is [tex](0.31)^5[/tex] and it can be written as 0.0028629151 .
Please answer this question fast
ddddddddddddddAnswer:
Step-by-step explanation:
fffffffffff
Choose the formula for the volume of a cone V = mrh written in terms of h.
Answer:
Choose the formula for the volume of a cone V = mrh written in terms of h.
