Using the z-distribution, it is found that the 95% confidence interval to estimate the mean SAT math score in this state for this year is (472, 488).
We have the standard deviation for the population, which is why the z-distribution is used to solve this question.
The sample mean is [tex]\overline{x} = 480[/tex].The population standard deviation is [tex]\sigma = 100[/tex].The sample size is [tex]n = 656[/tex].The interval is given by:
[tex]\overline{x} \pm z\frac{\sigma}{\sqrt{n}}[/tex]
We have to find the critical value, which is z with a p-value of [tex]\frac{1 + \alpha}{2}[/tex], in which [tex]\alpha[/tex] is the confidence level.
In this problem, [tex]\alpha = 0.95[/tex], thus, z with a p-value of [tex]\frac{1 + 0.95}{2} = 0.975[/tex], which means that it is z = 1.96.
Then:
[tex]\overline{x} - z\frac{\sigma}{\sqrt{n}} = 480 - 1.96\frac{100}{\sqrt{656}} = 472[/tex]
[tex]\overline{x} + z\frac{\sigma}{\sqrt{n}} = 480 + 1.96\frac{100}{\sqrt{656}} = 488[/tex]
The 95% confidence interval to estimate the mean SAT math score in this state for this year is (472, 488).
A similar problem is given at https://brainly.com/question/22596713
Bob's gift shop sold a record number of cards for Mother's Day. One salesman sold 42
cards, which was 4% of the cards sold for Mother's Day. How many cards were sold
for Mother's Day?
Multiply/scale up to solve.
cards
42
100
4
percent
Answer:
Bob sold 1,050 cards for Mother’s Day
Step-by-step explanation:
a = 1/3 (b+c)
make b the subject
Answer:
b= 3a-c
Step-by-step explanation:
Solve for b.
a= 1/3(b+c)
multiplying both sides by 3.
3a= b+c
subtract c from both sides.
3a-c=b
or
b= 3a-c
Answer:
b= 3a-c
Step-by-step explanation:
Solve for b.
a= 1/3(b+c)
Multiplying both sides by 3.
3a= b+c
Subtract c from both sides.
3a-c=b
or
b= 3a-c
When adding the numbers 4+9+7+6+3 you can make one group of 10.True or False
Answer:
false
Step-by-step explanation:
true or false Typically, a plot begins with conclusions that introduce the characters and the conflict they face.
Answer:
Hello!!
The correct answer is false. The exposition begins with conclusions that introduce the characters and the conflict they face
Hope this helps!!
Find the volume of the cube that measures 3.14 inches by 3.14 inches by 3.14 inches.
Answer:
30.959144 inches^3
Step-by-step explanation:
Voume of cube =l^3
Here, l=3.14, so
V=3.14^3
30.959144 ^3
Answer:
V= a^3 or for one edge it’s really
V ~ 30.96
Step-by-step explanation:
what is one way to find the number of minutes in 7 hours?
Answer:
Seven dived by 60
Step-by-step explanation:
60 minutes makes an hour, so if you divide 7 hours by 60 minutes you could easily get an answer.
Multiplication.
because 1 hour = 60 minutes
and for you, there is 7 hours, you'd just do 7 x 60.
The answer would be the number of minutes (in those seven hours).
7 x 60 is 420 minutes just in case you were wondering.
Solve f(x) >0
F(x)= (x-1)(x+3)^2
AnSolve f(x) >0
F(x)= (x-1)(x+3)^2
Solve f(x) >0
F(x)= (x-1)(x+3)^2
Solve f(x) >0
F(x)= (x-1)(x+3)^2
Step-by-step explanation:
Xavier, Yosef & Zeke are three brothers. All together they can do 56 push-ups in 3 minutes. Xavier does as many as Yosef and Zeke combined. Zeke does two less than half as many as Yosef does. How many push-ups does Yosef do?
A. 12
B. 28
C. 8
D. 6
E. 20
what is 7.5% less than 120
Answer:
111Step-by-step explanation:
7.5% less than 120
120 - 7.5% of 120 = 120(1 - 7.5/100) = 120*0.925 =111I WILL REPORT LINKS!!!
Please show the steps.
[tex]\left(x^{\frac{1}{6}}y^{\frac{1\:}{3\:}}\right)^{-18}[/tex]
Answer:
what?
Step-by-step explanation:
(X^2 -6x -20)/(x+2)
Use long division
Answer:
The answer is x-8-4/x+2.
Step-by-step explanation:
I'm certain this is correct since I factored and have done everything required.
please help out, using your knowledge of equilateral and isosceles triangles, find the value of x
Answer:
can not see the picture
Step-by-step explanation:
Solve.
4.704=y+310
Enter your answer as a decimal in the box
Answer:
-305.296
Step-by-step explanation:
Make y the subject of the equation.
If 4.704=y+310 is the given equation, the value y is -305.3
What is Equation?Two or more expressions with an Equal sign is called as Equation.
The given equation is 4.704=y+310
Four point seven zero four equal to y plus three hundred ten
We need to solve for y in the given equation.
4.704=y+310
Subtract 310 on both sides
4.704-310=y+310-310
-305.3=y
Hence, y is -305.3 for the equation 4.704=y+310
To learn more on Equation:
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Work out the value of 3^2+2^3
Answer:
Step-by-step explanation:
3^2=9
2^3=8
9+8=17
Answer:
17
Step-by-step explanation:
3²+2³
= (3×3)+(2×2×2)
= 9+8
= 17
Can some one help me please I will give you 25 if you just tell me what the answer is
Answer:
I believe it helps the reader understand the mood of Frederick town. I hope this helps you! :)
estaba previsto destinar 3/14 de partes de una finca a plazas de aparcamiento pero finalmente han destinado 3/4 de lo previsto a zonas ajardinadas que fraccion de la finca se ha destinado a plazas de aparcamiento
Queremos ver que fracción de la finca se ha destinado a plazas de aparcamiento.
La solución es:
La fracción de la finca que se destina a plaas de aparcamiento es 3/56
Sabemos que originalmente se iba a destinar 3/14 del total de la finca a plazas de aparcamiento, pero finalmente se destino 3/4 de lo previsto a zonas ajardinadas.
Es decir, se destino 3/4 de los 3/14 del total de la finca a zonas ajardinadas, entonces el 1/4 restante se dedico a plazas de aparcamiento, esto da:
(1/4)*3/14 = 3/56
La fracción de la finca que se destina a plaas de aparcamiento es 3/56
Sí quieres aprender más, puedes leer:
https://brainly.com/question/16649102
helpppppppppppppppppppp
Answer:
[tex] \frac{x + 2}{x - 2} [/tex]
Step-by-step explanation:
This is much easier to solve actually since both expressions have the same denominator.
To solve it therefore,just sum the numerators
(x²-4x-2)+(8x+6)
x²+4x+4 Now divide by the common denominator
x²+4x+4/x²-4
Factorize both numerator and denominator
(x+2)(x+2)/(x-2)(x+2)
Cancel out common terms
x+2/x-2
For brainily please help
Answer:
Yes, these create an isosceles triangle, where two sides are equivalent
An ice climber stands at the edge of a crevasse that is 115 Ft wide. The angle of the depression from the edge where she stands to the bottom of the opposite side is 52 degrees. How deep is the crevasse at this point? Round off to the nearest foot.
depression from the edge where she stands to the bottom of the opposite side is 52 degrees. How deep is the crevasse at this point? Round off to the nearest foot
There were 768 towels on sale at the local store. 24 women purchased equal amounts of towels and left the shelf empty. How many towels did each woman purchase?
Answer:
Each women purchased 32 towels.
Step-by-step explanation:
Each women purchased 32 towels, because there are 768 towels in sale and 24 women, which mean each women take 32 from the 768. 768/24=768 or 24 women * 32 towels = the 168 towels on sale.
Brody is taking a multiple choice test with a total of 20 points available. Each
question is worth exactly 1 point. What would be Brody's test score (out of 20) if he
got 9 questions wrong? What would be his score if he got x questions wrong?
Answer: Brody's test score is 11/20 and 20 - x/20
Step-by-step explanation:
If Brody gets x questions wrong, this could only possible answer is 20 - x.
Using this formula, we could now answer the first question.
20 - x
20 - 9 = 11
We could then conclude that Brody got 11 correct answers out of 20 answers.
Which of the following could possibly be
used to describe the number of people
wearing braces in this room?
A. Whole Numbers
B. Negative Numbers
C. Rational Numbers
D. Irrational Numbers
Answer:
Hi I believe A. whole numbers
plz let me know if im right
help me please this work is graded
Answer:
you need to do it in pairs go ask one of your classmates. where is your partner for this assignment
For the reaction 2Fe + O2 → 2FeO, how many grams of iron oxide are produced from 42.4 mol of iron?
In the balanced reaction
2 Fe + O₂ → 2 FeO
2 moles of iron (Fe) react with 1 mole of molecular oxygen (O₂) to produce 2 moles of iron oxide (FeO). The ratio of Fe to FeO is 1-to-1, so if one starts with 42.4 mol of Fe, one will end up with the same amount of FeO, 42.4 mol.
Look up the molar mass of Fe and O:
• Fe = 55.845 g/mol
• O = 15.999 g/mol
Then the molar mass of FeO is approximately 71.835 g/mol, and so the mass of 42.4 mol of FeO is
(42.4 mol) × (71.835 g/mol) ≈ 3050 g
PLS HELP! GIVING BRAINLIEST!
Given g(x)=2x+4, find: g(4)
PLS SHOW WORK !!
Answer:
b(x)=2x+4
Factor out 2.
2(x+2)
EVALUATE
2(x+2)
Step-by-step explanation:
29 yards=how many ft
Answer:
87 ft
Step-by-step explanation:
hope it's correct
please give me a brainlist
thank you
.....HELPPP QUICK MATH TEST
Answer:
112
Step-by-step explanation:
Sienna, Rhys, and Micah are all reading the same book for school. Sienna has read 40% as far as Rhys has, and Rhys has read 40% as far as Micah has. If Sienna has read 60 pages, how many pages has Micah read?
Based on the fact that Sienna has read 60 pages, we can infer that Micha has read 375 pages of the book.
Sienna has read 40% of what Rhys has read and that corresponds to 60 pages. The number of pages read by Rhys is therefore:
= Number of pages / Percentage read
= 60 / 40%
= 150 pages
The 150 pages read by Rhys is 40% of what Micah has read. Micah has therefore read:
= 150 / 40%
= 375 pages
In conclusion, Micah has read 375 pages.
Find out more at https://brainly.com/question/2807698.
How would I solve this? I believe it's two step, am I correct?
Answer:
[tex]b=0.8[/tex]
Step-by-step explanation:
1) Subtract 2.7 from both sides.
[tex]-5.3-2.7=-\frac{b}{0.1}[/tex]
2) Simplify -5.3 - 2.7 to 8.
[tex]-8=-\frac{b}{0.1}[/tex]
3) Multiply both sides by 0.1.
[tex]-8[/tex] × [tex]0.1=-b[/tex]
4) Simplify - 8 × 0.1 to - 0.8.
[tex]-0.8=-b[/tex]
5) Multiply both sides by -1.
[tex]0.8=b[/tex]
6) Switch sides.
[tex]b=0.8[/tex]
Answer:
b=0.8
Step-by-step explanation:
[tex]\frac{b}{0.1} = 8\\b= (0.1)(8)\\b=0.8[/tex]
i am a 2 digit number i am a less than 8+8 i am more than 6+6 i am even who am i?
Answer:
14
Step-by-step explanation:
16-12
even: 12 14 16
You are 14!
8+8=16 and we are given that you are less than 16.
6+6=12 and we are given that you are more than 12.
So the number can be 13, 14, 15.
We are also given that the number is even.
And the only even number here is 14. And 14 has 2 digits.
Hope this helps!
~Just a joyful teen
[tex]-GraceRosalia[/tex]