Answer:
1 : 45
Step-by-step explanation:
225 divided by 5 equals 45. You can now use this ratio to determine the number of people with different amounts of buses; when you change x from 1 to n, you would need to multiply 45 by n, and you will have your new ratio column in the table.
Hope this helps :)
The equation which models the relationship expressed in slope intercept form ls y = 45x
Expressing the equation in the form :
y = bx + cSlope, b = (900 - 225) / (20 - 5) = 45
Using any (x, y) points on the table given to find the value of c :
225 = 45(5) + c
225 = 225 + c
c = 0
Hence, the equation which models the relationship is y = 45x
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Find a formula for the nth term in this
arithmetic sequence:
a1 = 0, a2 = 0.5, a3 = 1, a4 = 1.5, ...
an =
= [ ? ]n
+
Please help me with this question
Answer:
Domain: [-3, 1)
Range: [-5. 4]
Will give brainliest to best answer!
Which of the following equations describes the line shown below? Check all
that apply.
(-2,4)
(-4,-8)
Answer:
d a e
Step-by-step explanation:
A rectangle is shown on the coordinate plane below complete the table below to determine which of the statements are true and which are false
Answer:True, False, False, True, True, False
Step-by-step explanation:
Got it right lol
Help me 6th grade math :)
We know that the ratio of wooden bats to metal bats is 2:1. We also know that there are 20 wooden bats.
What we need to knowWe need to know how many metal bats there are.
Show your workSince 20 of the bats are wooden, that covers the 2. Using common knowledge, we know that this ratio is in the tenths. If the 2 is equal to 20 then the 1 is equal to 10.
AnswerThere are 10 metal bats.
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10 bro- bc 20 divided by 2 is 10 .,. easy math y-y
A random sample of 478 children aged 9 to 17 from the United Kingdom and the United States who completed a CensusAtSchool survey in a recent year was selected. Each student's country of origin was recorded along with which superpower they would most likely have?
Answer:
14.02%
Step-by-step explanation:
Missing word "the ability to fly, ability to freeze time, invisibility, superstrength, or telepathy (ability to read minds). The data are summarized in the table below. What percent of children in the sample would most like to have the superpower of invisibility?"
Note: The table is attached below as well
The percentage of children in the sample that would most like to have superpower of invisibility is computed here as:
= n(invisibility) / n(Total)
= (30 + 37) / 478
= 67/478
= 0.1401673640167364
= 14.02%
Therefore, the percent of children in the sample would most like to have the superpower of invisibility is 14.02%
Can someone please help
Answer:
340
Step-by-step explanation:
Cassandra is buying sand for her daughter's sandbox in the backyard. She wants to find the best deal. Which is the Best Buy and why, "A" sand or "B" sand?
A random sample of Democrats and a random sample of Republicans were polled on an issue. Of 100 Republicans, 69 would vote yes on the issue; of 200 democrats, 123 would vote yes. Let pl and p2 denote respectively the proportions of all Democrats or all Republicans who would vote yes on this issue. Use the R script to finish the following questions.
(a) Construct a 95% confidence interval for pl - p2
(b) Can we say that more Democrats than Republicans favor the issue at the 1% level of significance.
Answer:
Step-by-step explanation:
(a)
For the two proporion confidence interval p1-p2
# by default R = 95% confidence interval
The R-code = prop.test(X = c(123,690, n=c (200, 100))
where;
x - takes favorable cases
n - sample size
(b)
Here;
[tex]H_o : p_1 =p_2[/tex]
[tex]H_1 : p_1 > p_2[/tex]
The R-code = prop.test (X = c(123,690, n=c (200, 100)), alternative = "greater", conf.int = 0.99)
Now;
From the information given;
out of 200 democrats, 123 voted yes;
[tex]p_1 = \dfrac{123}{200}[/tex]
[tex]p_1 = 0.615[/tex]
Since 69 voted yes out of 100 republicans, then:
[tex]p_2 = \dfrac{69}{100}[/tex]
[tex]p_2 =0.69[/tex]
For pooled proportion;
[tex]\hat p = \dfrac{n_1p_1+n_2p_2}{200 + 100}[/tex]
[tex]\hat p = \dfrac{123+69}{200 + 100}[/tex]
[tex]\hat p = \dfrac{192}{300}[/tex]
[tex]\hat p = 0. 64[/tex]
Since p = 0.64
Then; q = 1 - p
q = 1 - 0.64
q = 0.36
∴
The confidence interval for the difference in population proportion
[tex]= (p_1 - p_2 ) \pm z_{\alpha/2} \sqrt{(pq)(\dfrac{1}{n_1}+\dfrac{1}{n_2}) }[/tex]
[tex]C.I = 1 - \alpha \\ \\ C.I = 1 - 0.95 = 0.05[/tex]
[tex]z_{\alpha /2} = z_{0.05 /2} \\ \\ z_{0.025} = 1.96[/tex]
∴
[tex]= (0.615- 0.69) \pm 1.96 \sqrt{(0.64 \times 0.36)(\dfrac{1}{100}+\dfrac{1}{200}) }[/tex]
[tex]= -0.075 \pm 0.11522[/tex]
[tex]= (-0.075 - 0.11522,-0.075 + 0.11522)[/tex]
[tex]= (-0.19022,0.04022)[/tex]
∴
Lower limit = -0.19022
upper limit = 0.04022
Thus; the 95% confidence interval lies between:
-0.19022 < p1 - p2 < 0.04022
b)
Recall that:
Null hypothesis:
[tex]H_o :p_1 = p_2[/tex]
Alternative hypothesis:
[tex]H_1 : p_1 > p_2[/tex]
This is a right-tailed test.
The z test statistics can be computed as:
[tex]z = \dfrac{\hat p_1 - \hat p_2}{\sqrt{pq(\dfrac{1}{n_1} + \dfrac{1}{n_2} )}}[/tex]
[tex]z = \dfrac{0.615 -0.69}{\sqrt {(0.64*0.36) (\dfrac{1}{100} + \dfrac{1}{200} )}}[/tex]
[tex]z = -1.276[/tex]
P-value = P(Z > -1.276)
P-value = 0.899
Decision rule: Reject the null hypothesis if P-value < level of significance at 0.01
Conclusion: We fail to reject the null hypothesis since P-value is greater than the level of significance and we conclude that there is insufficient evidence to say that more democrats favor the issue at the 1% level of significance than the republicans.
Which of the following is a rational number?
Α. π
B. 12.13141516...
C. V16
D. V7
Which of the following gives the correct intercept points and vertex point for the function f(x) = x2 - 4x-5?
A. y-intercept: (0,5); vertex point: (-2,9); x-intercepts: (1,0) and (5,0)
B. y-intercept: (0,-5); vertex point: (2,-9); x-intercepts: (-1,0) and (5,0)
C. y-intercept: (0,5); vertex point: (2,-9); x-intercepts:(-1,0) and (-5,0)
D. y-intercept: (0,-5); vertex point: (-2,-9); x-intercepts: (1,0) and (-5,0)
Answer:
its b
Step-by-step explanation:
The y-intercept: (0,-5); vertex point: (2,-9); x-intercepts: (-1,0) and (5,0) option (B) is correct.
What is a parabola?It is defined as the graph of a quadratic function that has something bowl-shaped.
We have a function:
[tex]\rm f(x) = x^2 - 4x-5[/tex]
The above function shows a parabola equation.
For y-intercept plug x = 0 in the function.
f(0) = -5
So the y-intercept is (0, -5)
For the vertex:
[tex]\rm f(x) = (x-2)^2-9[/tex] (from perfect square trinomial)
[tex]\rm f(x) = (x-h)^2+k[/tex]
(h, k) is the vertex = (2, -9)
For x-intercept:
f(x) = 0
[tex]\rm x^2 - 4x-5=0[/tex]
After factorizing:
(x+1)(x-5) = 0
So the x-intercept will be:
(-1, 0) and (5, 0)
Thus, the y-intercept: (0,-5); vertex point: (2,-9); x-intercepts: (-1,0) and (5,0) option (B) is correct.
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Find the value of x that makes this a right triangle.
Option c
15
................................
I need help i will give branly to eny one that anserwes it corecctly
8.43 has two decimal digits. 0.06 has two decimal digits.
The product of eight.43 and 0.06 can have 2*2 = four decimal digits.
843*6 = 5058
8.43*0.06 = 0.5058
PLEASE HELP 3 minutes I’ll mark brainliest answer!!!!!!!!
Answer:
20/4= 5
5*2/3= 3&1/3 cups of beans are needed to make 20 servings
Step-by-step explanation:
Here help please........................
Answer: The value of zero its zero
Step-by-step explanation:
The place value of zero in any number is always zero. Zero may hold any place in a number, but its value will remain to be zero.
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Simplify the expression. (3.5x - 5) + (7.2x + 10)
Answer:
10.7x + 5
Step-by-step explanation:
(3.5x - 5) + (7.2x + 10)
Take out the parenthesis so it can be easier to see
3.5x - 5 + 7.2x + 10
Combine like terms
(3.5x and 7.2x) and ( -5 and 10)
10.7x + 5
And you cannot simplify it anymore
Hope this helped!
Have a supercalifragilisticexpialidocious day!
The height of right circular cylinder P
is twice the height of right circular
cylinder Q. The radii of the cylinders are
of equal length
What number times the volume of
cylinder Q is equal to the volume of
cylinder P?
A. 2
B. 4
C. 6
D. 8
Answer:
A. 2
Step-by-step explanation:
The computation is shown below:
As we know that
The Volume of a right circular cylinder is
[tex]V = \pi r^h\\\\[/tex]
Here r is the radius
And h is the height
Now it is mentioned that the height of the right circular cylinder P is double to the height of the right circular cylinder Q
Now let us assume h be the height of cylinder p
And, H be the height of cylinder Q
So the equation is
h = 2H ........(1)
Also
The radius of both the cylinders would be the similar length
So
we assume the r be the radius of both cylinders
Now
The Volume of cylinder Q = [tex]V_Q = \pi r^2H[/tex]
And for P it is [tex]V_p = \pi r^2 h[/tex]
Now substitute equation 1
[tex]V_p = \pi r^2(2H)\\\\V_p= 2 \pi r^2hH\\\\V_p = 2(\pi r^2H)\\\\V_p = 2(V_Q)[/tex]
Hence, the correct option is A.
Janelle has 8 striped shirts which are 16% of all of her shirts. How many total shirts does Janelle have?
Answer:
She has 50 shirts
Step-by-step explanation:
If 8 is 16 percent then 16/100 = 8/50
Answer:
if 8 shirts equal 16%, that means 1 shirt equals 2%, so she has 50 shirts
Step-by-step explanation:
In the diagram below of triangle DEF, G is a midpoint of DE and H is a midpoint of EF. If GH = 5x−34, and DF = 20−x, what is the measure of DF?
Answer: 8
Step-by-step explanation:
Observe the graph below. The scale factor used to dilate ABC was...
Answer:
3
Step-by-step explanation:
AB = 1 unit
A'B' = 3 units
The scale of dilation = A'B'/AB
Therefore:
scale of dilation = 3 units / 1 unit = 3
This means that ABC was dilated or enlarged in size by multiplying every of its segment by 3. In essence, A'B'C' is 3 times the size of ABC.
Find the inverse of y=-3x+6
Answer:
y = (x – 6) / -3 = [2 – x/3]
Step-by-step explanation:
y = f(x) = -3x + 6
f⁻¹(x) → x = -3y + 6 → (x – 6) / -3 → x / -3 + -6/-3 → -x / 3 + 2 → 2 – x/3
solve the inequality and graph the solution on the line provided.
Answer:
x [tex]\geq[/tex] 5
Step-by-step explanation:
step 1: subtract 6 from both sides
step 2: divide both sides by 7
answer: x [tex]\geq[/tex] 5
interval notation: [5,∞)
If and are the radi of two concentric circles and (r. > r.). If the chord
of the larger circle AB touches the inter circle. Find the value of AB
Answer:
r1 and r2 are the radii of two concentric circles
To find:
The length of the chord of the larger circle.
Solution:
We have given the two concentric circles which means both the circles have the same centre.
The chord of the larger circle toches the inner circle so the chord of the larger circle will be the tangent of the smaller circle.
And we know that the radius of the circle is perpendicular to the tangent of the circle.
Let 2x be the length of the chord of the circle.
r1 is the radius of the larger circle.
r2 is the radius of the smaller circle.
So by the Pythagoras theorem,
The length of the half of the chord is given by:
r1² = x² + r2²
x² = r1² - r2²
x = √r1² - r2²
So,
The length of the chord will be 2x = 2√r1² - r2² units
Step-by-step explanation:
Please help, I will give brainliest. I am struggling badly.
Answer:
B
Step-by-step explanation:
1000 x 1000 = ????????????????
Answer:
1,000,000
Step-by-step explanation:
1000 x 1000 = 1,000,000
Answer:
1,000,000
Step-by-step explanation
first do 1 times 1 then just add on the zero's from both number and get 1 million
joans high school played 28 football games this year , 2 of the games were played at night . She attended 16 games. How many football games did joan miss?
Answer:
she missed 12 or 14 games, depending on if the night games are part of the initial count or not.
Step-by-step explanation:
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Find the graph of the inequality (picture above shows problem pls help I'm stuck)
Answer:
its c cause I did all the math
What expression is equivalent to 5(1/3x+7)-3(1/2x-4)
Step-by-step explanation:
5/3x +35-3/2x+12=0
5/3x -3/2x+35+12=0
1/6x+47=0
1/6x=-47
divide through by 6x
×=1/282
a = , b = , c = Will give Brainliest
Answer:
a = 2, b = 3, c = 8
Step-by-step explanation:
a function is rule that assigns each
Answer:
element in the range to exactly one element in the domain
Step-by-step explanation:
N/A