Answer:
95% confidence interval for p, the population proportion of students whose parents bought a car for them when they left for college
(0.4958 , 0.7041)
Step-by-step explanation:
Step(i):-
Given that the sample size 'n' = 85
The sample proportion
[tex]p = \frac{x}{n} = \frac{51}{85} = 0.6[/tex]
95% confidence interval for p, the population proportion of students whose parents bought a car for them when they left for college
[tex](p^{-} -Z_{0.05} \sqrt{\frac{p(1-p)}{n} } , p^{-} +Z_{0.05} \sqrt{\frac{p(1-p)}{n} })[/tex]
Step(ii):-
Given that the level of significance
α = 0.05
Z₀.₀₅ = 1.96
[tex](0.6 -1.96 \sqrt{\frac{06(1-06)}{85} } , 0.6 +1.96 \sqrt{\frac{0.6(1-0.6)}{85} })[/tex]
(0.6 - 0.104138 , 0.6 +0.104138)
(0.4958 , 0.7041)
Final answer:-
95% confidence interval for p, the population proportion of students whose parents bought a car for them when they left for college
(0.4958 , 0.7041)
im not supposed to be doing this stuff yet but yeee plz help :)
f(x)=3x^2-40x+180
5.(x+3) = 2x-3 Help pls
Answer:
x= -6
Step-by-step explanation:
5.(x+3) = 2x-3
5x+15=2x-3
5x-2x+15=-3
5x-2x=-3-15
3x=-3-15
3x=-18
x=-6
Step-by-step explanation:
5(X+3) =2X_3
Expand the brackets
5X + 15 = 2X _ 3
CLT(Collect like terms)
5X_2X= _3 _ 15
3X = _ 18
DBS( Divide both sides) by 3
3X/ 3 = _18 / 3
X = _9
Find the value of x. If your answer is not an integer, express it in simplest radical form.
Step-by-step explanation:
[tex]4 \\ {x}^{2} = {16}^{2} + {14}^{2} \\ {x}^{2} = 256 + 196 \\ {x}^{2} = 452 = 2 \sqrt{113} = 21.26[/tex]
[tex]5 \\ {x}^{2} = {8}^{2} + {15}^{2} \\ {x}^{2} = 64 + 225 \\ {x}^{2} = 289 \\ x = 17[/tex]
Pls help extra points and mark brainlist
Answer:
B. C. and E.
Step-by-step explanation:
How do you solve 2.5x + 10 = 50?
Answer:
I think the answered is x = 16 hope I right
Answer:
X = 16
Step-by-step explanation:
2.5x+10 = 50
distribute the ten to the other side by substracting
2.5x = 50-10
2.5x = 40
Now divide 2.5 on both sides
2.5x/2.5 = 40/2.5
x = 16
what year is 40040040040049039qji34btuewrbgsnbbg snk g smart
Y varies inversely as the square of x. If y=10 and x=4, find x if y=8
Answer:
y 21 v77 9 = te paso la respuesta al 0991547221
Please explain how you find the VOLUME of a figure.
Find the length of the rectangular prism.
Find the width of the rectangular prism.
Find the height of the rectangular prism.
Multiply the length, the width, and the height.
there you go , brainlist me plz
Ricky ate 2 soft tacos, and 4 of his friends ate s soft tacos. If there were 18 2 points
soft tacos in all, how many soft tacos did his friends eat if each friend ate
the same amount? Ricky wrote the following equation to find the number
of soft tacos each friendate, 6s = 18. He then found out, from dividing that
each friend ate 3 tacos each. Do you agree/disagree with Ricky's thinking?
Explain.
Your answer
Your
Use the following table to answer questions #3, #4, and #5.
Answer:
Each friend ate 4 tacos.
Step-by-step explanation:
"4 of his friends ate s tacos" is unclear. I assume it should be
"4 of his friends ate s tacos each."
total tacos = 2 + 4s = 18
4s = 16
s = 4
His four friends ate a total of 16 tacos, each friend eating 4 tacos.
Ricky's reason, i.e., that 6s = 18, is incorrect.
6s = 4s+2s, where 4s is what his friends ate in total.
That implies that Ricky ate 2s tacos, instead of 2 tacos. If 2s = 2 then s = 1, but then 6s ≠ 18.
Help me pls pls pls
Answer / Step-by-step explanation:
4 * (2 + 3) - 12
To get our final answer, we need to follow PEMDAS, which is :
Parenthesis
Exponent
Multiply
Divide
Addition
Subtraction
These mean that this is the order you will solve by what is in the question, let us start with the parenthesis.
(2 + 3) fits this description, therefore we add them together :
4 * 5 - 12
There are no more parenthesis and also no more exponents, so move onto multiplying.
4 * 5 - 12
20 - 12
Now subtract :
8
How to solve 35 = 7x
Answer:
5
Step-by-step explanation:
35=7x
x=35/7 you will divide 7 to 35 and it equals 5
A spinner with five equal-sized colored sections is spun with the results shown in the table. Based on the experimental probability, predict the number of blue results for 200 trials.
Red Orange Yellow Green Blue
15 16 14 19 16
40
32
20
16
At Katy Perry concert, the ratio of the number of boys tot the number of girls on 4:5. If there are 250 more girls than boys how many boys are at the concert?
Answer:
1000 boys
Step-by-step explanation:
The ratio of the number of boys to girls is 4:5.
Every time you multiply 4 and 5 by the same whole number, you get a possible number of boys and girls in the same ratio.
There may be
4 boys and 5 girls, or
8 boys and 10 girls (multiplying 4 and 5 by 2), or
12 boys and 15 girls (multiplying 4 and 5 by 3), or
400 boys and 500 girls (multiplying 4 and 5 by 100),
but all these numbers are too low for there to be a difference of 250 between the numbers of boys and girls. Since we don't know the numbers of boys and girls, but know the ratio is 4:5, then we know that the ratio is also 4x:5x, by multiplying both numbers of boys and girls in the ratio by x.
There are 250 more girls than boys, so
5x - 4x = 250
x = 250
The number of boys is 4x.
4(250) = 1000
Answer: 1000 boys
ME AJUDEM PFV!!O valor da expressão (NA FOTO)simplificada é:
a)12
b)13
c)14
d)16
e) 10
D) 16.
Espero que esto ayude hermano.
can anyone help me with question 7 please?
Answer:
c is the answer
Step-by-step explanation:
I hope it may helps you
Which of the follow triangles is similar to APOR?
Answer:
D
Step-by-step explanation:
For each triangle, you are given two sides and the included angle (the one between those 2 sides). That's side-angle-side, so it is S-A-S.
The SAS Rule for Similar Triangles says that for 2 triangles X and Y, if you have the SAS of one and the SAS of the other, then X and Y are similar (same shape and proportions) if
(a) the angle in X is congruent (same) as the angle in Y
(b) the ratio between the two given sides in X is the same as the ratio between the two given sides in Y
For this particular problem, the ratio PR/PQ = 18/21 = 6/7 if you simplify by dividing both top and bottom by 3.
So we are looking for another triangle where we have the same ratio. (Put the smaller number on top, in the fraction.)
Answer A: 12/15 simplifies to 4/5, wrong answer
Answer B: 9/12 simplifies to 3/4, wrong answer
Answer C: 6/10 simplifies to 3/5, wrong answer
Answer D: 15/17.5 looks harder, because there is a decimal in it. But we know 17.5 is just 17 and a half, so I would first multiply top and bottom by 2
We get 30/35. That looks a lot better. Now it is easier to see we can divide both top and bottom by 5.
We get 6/7! That is the correct answer, so D is the triangle similar to PQR.
Angus has a big test coming up. Should he stay up & study or go to bed early the night before the test?
Answer:
first of al to calm and study but not to late so he could sleep well
Step-by-step explanation:
Answer:
He should go to bed early
Step-by-step explanation:
Why? Because If he goes to bed early he can wake up earlier to study.
Multiplying by 0.25 is the same as decreasing by
Step-by-step explanation:
multiplying by 0.25 is same as find the 1/4 of a number. it can also be said the number is reduced by 75% of itself or number is reduced by 3/4th of itself.
For example let the number be 100.
0.25*100=25 also 100/4=25 or 100-0.75*100= 25 or, 100-(3/4*100)= 25
HELPPPPPPPP PLS I NEED IT DESPERATELY
7b + 8b² + 3 + y + 2b + 2y + 2 =
17b² + 3y + 58b² + 9bb + 5y8b² + 9by + 58b² + 9b + 3y + 5Answer :[tex] \tt \dashrightarrow 7b + 8b^2 + 3 + y + 2b + 2y + 2 [/tex]
[tex] \tt \dashrightarrow 8b^2 + 7b + 2b + y + 2y + 2 + 3[/tex]
[tex] \tt \dashrightarrow 8b^2 + 9b + 3y + 5[/tex]
Hence, answer is 8b² + 9b + 3y + 5.
So, correct option is 4th one.
Which of the following equivalent to the ratio 5?
Answer: where are the answer choices I know the answer but I don't see any answer choices on the board
How many eighths are there in 4 3/8
ANSWER:
Answer:
35/8
Step-by-step explanation:
4×8= 32 plus the 3/8 equals 35/8
hope it helps
20 X3/5 in simplest form
Answer:
12
Step-by-step explanation:
20 and donominator 5 cancel out
4*3=12
Answer: 12
Step-by-step explanatio
Steve was trying to make it back to base. However he did not want to
travel through the Dark Oak Forrest. He moved 86 blocks vertically,
then he moved 44 blocks horizontally to arrive at the base. If Steve was
braver, he could have walked diagonally through the forrest. At what
angle, C, with the horizontal does the diagonal path make? Show all
work; only worked typed into the space below will be graded. (9
points)
Answer:
Angle C = 62.90°
Step-by-step explanation:
As given,
The perpendicular = 86
Base = 44
As, we know that
tan(C) = [tex]\frac{Perpendicular}{Base} = \frac{86}{44} = 1.9545[/tex]
⇒C = [tex]tan^{-1}[/tex](1.9545) = 62.90°
∴ we get
Angle C = 62.90°
The graph is as follows :
(x + 5)(x – 5)
Multiply
Answer:
[tex] {x}^{2} - 25[/tex]
Step-by-step explanation:
[tex](x + 5)(x – 5) \\ \\ = {(x)}^{2} - {(5)}^{2} \\ \\ = {x}^{2} - 25[/tex]
Answer:
x²-25
Step-by-step explanation:
To do a sum like this, break up the first bracket and multiply by the second (terms from the first bracket is in bold in first few steps for clarity):
(x + 5)(x – 5)
x(x-5)+5(x-5)
x²-5x+5x-25
x²-25
A line goes through the point (-8,9), and has a slope of 3/4
Write in form of a Ax + B and C for this line
Answer:
[tex]y=\dfrac{3}{4}x+15[/tex]
Step-by-step explanation:
Given that,
A line goes through the point (-8,9), and has a slope of 3/4.
We need to express in the form of Ax+B for this line.
We have, m = 3/4
So,
[tex]y=\dfrac{3}{4}x+B[/tex]
Put y = 9 and x = -8 in the above equation.
[tex]9=\dfrac{3}{4}(-8)+B\\\\9=-6+B\\\\9+6=B\\\\B=15[/tex]
So,
[tex]y=\dfrac{3}{4}x+15[/tex]
It is the required equation of the line.
2X plus 7 for x equals five
Answer:
17
Step-by-step explanation:
If x equals 5, then you just do 2(5) + 7.
2×5=10 10+7=17
A typical tip in a restaurant is 15% of the total bill. If the bill is $60, what would the
typical tip be?
The typical tip would be $
Answer:
$9
Step-by-step explanation:
15% is equal to 15/100
the word "of" means multiplication
15% of $60 is like saying:
15/100 * $60 = $9
Question 1
How do metal atoms bond together?
Answer:
Step-by-step explanation:
Hope this helps :D
Please help this is it
Answer:
2t+5
Step-by-step explanation:
Pls help ASAP !!
which of the following statements must be true if GHI-JKL ?
1. The corresponding sides of the two triangles must be proportional.
2.The two triangles must have exactly one acute angle.
3.At least one of the sides of the two triangles must be parallel.
4.The sides of the triangles must have equal lengths.
5. The two triangles must be scalene.
6. None of the above.
Answer:
1. The corresponding sides of the two triangles must be proportional.
Step-by-step explanation:
Option 1, is the only statement that makes GHI = JKL true. If the triangles are congruent, it means that the sides have to be proportional.
The triangles GHI and JKL are similar, Δ GHI ≈ Δ JKL only if their two corresponding sides are proportional and one angle is also equal, so option 1 is correct.
What is the triangle?Three straight lines coming together create a triangle. There are three sides and three corners on every triangle (angles). A triangle's vertex is the intersection of two of its sides. Any one of a triangle's three sides can serve as its base, however typically the bottom side is used.
Given:
The triangles GHI and JKL are similar, Δ GHI ≈ Δ JKL,
The condition for the similarity of the triangle are shown below,
Two triangles are said to be comparable if the ratio of one triangle's two sides to the two sides of another triangle is the same, and the angles that the two sides of both triangles inscribe are equal.
Thus, the sides have to be proportional.
To know more about Triangles:
https://brainly.com/question/16886469
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