Answer:
The 98% confidence interval is [tex] 1713.23 < \mu < 1866.76 [/tex]
Step-by-step explanation:
From the question we are told that
The population standard deviation is [tex]\sigma = 158[/tex]
The sample size is n = 23
The sample mean is [tex]\= x = 1790 \ dollars[/tex]
From the question we are told the confidence level is 98% , hence the level of significance is
[tex]\alpha = (100 - 98 ) \%[/tex]
=> [tex]\alpha = 0.02[/tex]
Generally from the normal distribution table the critical value of [tex]\frac{\alpha }{2}[/tex] is
[tex]Z_{\frac{\alpha }{2} } = 2.33[/tex]
Generally the margin of error is mathematically represented as
[tex]E = Z_{\frac{\alpha }{2} } * \frac{\sigma }{\sqrt{n} }[/tex]
[tex]E = 2.33 * \frac{158 }{\sqrt{23} }[/tex]
[tex]E =76.76 [/tex]
Generally 98% confidence interval is mathematically represented as
[tex]\= x -E < \mu < \= x +E[/tex]
[tex]1790 -76.76 < \mu < 1790 +76.76 [/tex]
[tex] 1713.23 < \mu < 1866.76 [/tex]
Research suggests that red kangaroos have an average height of 63 in with a standard deviation of 4 in. What is the probability that a random sample of 45 kangaroos has an average of height that is greater than 70 inches.
Answer:
0.040
Step-by-step explanation:
We solve using z score
z = (x-μ)/σ,
where x is the raw score = 70 in
μ is the population mean = 63 in
σ is the population standard deviation = 4 in
z = 70 - 63 /4
z = 7/4
= 1.75
Probability value from Z-Table:
P(x<70) = 0.95994
P(x>70) = 1 - P(x<70)
= 0.040059
The probability that a random sample of 45 kangaroos has an average of height that is greater than 70 inches
is 0.040
0.54478x52.11055.6= i need the sum
Answer: the correct answer is 28.32272269768
Baby shark uwu
Do do do do do do do 28.388?
The temperature outside on Monday morning was -14°. On Tuesday morning, it was 4º colder.
Part A
Create an equation to calculate the temperature on Tuesday morning.
Part B Solve the equation you created to calculate the temperature on Tuesday morning. Show your work.
Answer:
-14 -4= 18 colder.
Same signs add and keep different signs subtract.
Step-by-step explanation:
So you would need to add. I just got this right.
What is the value of the expression (81 1/4)^4?
Answer:solve the equation in the parenthesis and substitute 4
Step-by-step explanation:
Robert spends $30.45 before tax at the book store. If the sales tax rate in his city is 7.25%, what is the total cost of his purchase?
The total cost of Robert's purchase is $32.657625.
Given that, Robert spends $30.45 before tax at the book store and the sales tax rate in his city is 7.25%.
We need to find the total cost of his purchase.
What is the sales tax?A sales tax is a consumption tax imposed by the government on the sale of goods and services.
The total cost = 30.45+7.25% of 30.45
=30.45 + 0.0725 × 30.45
=30.45 + 2.207625
=32.657625
Therefore, the total cost of Robert's purchase is $32.657625.
To learn more about sales tax visit:
https://brainly.com/question/27092799.
#SPJ2
plz help and give me the real answer not just some random one and dont just say sorrry i dont know . just put the real answer if you dont know pls dont answer just skipp ir. im tired of people just wanting 5 point likes its just five and its not important....
Answer:
can we date plz don't my number 21976198649
A conical tank (with vertex down) is 12 feet across the top and 18 feet deep. If water is flowing into the tank at a rate of 18 cubic feet per minute, find the rate of change of the depth of the water when the water is 10 feet deep.
Answer:
Step-by-step explanation:
Volume of a cone V = 1/3πR²h
r is the radius
h is the height
Given
dV/dt = 18ft³/min
h = 10ft
dimeter = 12ft
radius = 6ft
according to similar triangles
R = 6/10 h
R = 3/5 h
The volume becomes
V = 1/3πR²h
V = π/3(3h/5)²h
V = π/3 9h²h/25
V = 9h³π/75
dV/dt = dV/dh * dh/dt
dV/dt = 27h²π/75dh/dt
Substitute the given values
18 = 27(10)²π/75dh/dt
18 = 2700π/75dh/dt
18 = 36π dh/dt
dh/dt = 18/36π
dh/dt = 1/2π
dh/dt = 1/2(3.14)
dh/dt = 1/6.28
dh/dt = 0.1592ft/min
Connie has a cat and a dog. For every 2 cups of dog food, the cat eats 6 ounces of cat food. Please hurry I am currently doing a test.
Answer:
6x 2 = 12 is your answer your welcome
I need some assistance
Answer:
B
Step-by-step explanation:
Please help. only give brainliest to right answer
Answer:
We will find the value of each of the option to see which one is different
a) The opposite of 8
the opposite of 8 is -8
b) The distance between 5 and -3
distance is a scalar value and can NEVER be negative
So, distance = 8
c) The absolute value of 8
the absolute value of 8 is the modulus of 8
|8| = 8
d) The opposite of -8
the opposite of -8 is 8
From the above, we can see that the second, third and fourth options are equal except the first option
Which credit myths did you believe prior to hearing this lesson? Explain why each of those are myths and not facts
Answer:
Can I see some more of the lessson?
Step-by-step explanation:
You are a school photographer taking individual and class pictures for two classes of 21 students each on average each individual picture takes three minutes in a class picture takes 10 minutes how long should it take for you to take all the pictures
Heyyyy you can you help me plsssz
How do you solve 18x + 21y=204 and 6x + 14y=82
Answer:
x=9, y=2
Step-by-step explanation:
there are multiple ways to solve. I prefer lining both equations up so
18x + 21y =204
6x + 14y = 82
You can multiply 6x +14y =82 by -3 to get -18x + -42y = -246
then add both equations together to get y by itself. so you get
-21y=-42
y = 2
then substitute y back in to either equation and you'll get x=9
Max delivers 9,360 pieces of mail in one year. About how many pieces of mail does he deliver in 4 months?
Answer:
3,120 in 4 months
Step-by-step explanation:
9,360 divided by 12 = 780
780 x 4 = 3,120
Find x
Find P
Find Q
Find R
Answer:
x= 34 q is 65 p is 61 and R is 34
Step-by-step explanation:
to remember juice wrld 999 forever
Answer:
999 LUV
Step-by-step explanation:
LND LLJW999
Review Seth’s steps for rewriting and simplifying an expression.
Seth's first mistake was made in (blank)
Step 1, Step 2, Step 3, Step 4, or Step 5
where he (blank)
Factored 16 out of the second term instead of 4
Did not apply the properties of exponents correctly
Factored 2 out of the first term instead of 4
Did not write the expression as division correctly
Answer:
Factored 16 out of the second term instead of 4
Did not apply the properties of exponents
Step-by-step explanation:
Given the expression :
8x^6 √200x^13 ÷ 2x^5√32x^7
STEP 1:
8x^6 √(25*4*2*(x^6)^2*x) ÷ 2x^5√16*2*(x^3)^2 *x
Step 2:
8*2*5*x^6√2x ÷ 2*4*x^5*x^3√2x[correct expression]
80x^12√2x ÷ 8x^8√2x
(80x^12√2x ) / (8x^8√2x)
10x^(12 - 8)
= 10x^4
The square root of 16 is 4 ;
Hence 4 should be factored out of the second term instead of 16
Answer: the mistake was in step 2 then: factored 16 out of the second term instead of 4
Step-by-step explanation:
g Researchers are interested in learning about the age of women when they marry for the first time so they survey 500 married or divorced women and ask them how old they were when they first married. The collection of the ages of the 500 women when they first married is a
Complete question is;
Researchers are interested in learning more about the age of women when they marry for the first time so
they survey 500 married or divorced women and ask them how old they were when they first married. The
collection of the ages of the 500 women when they first married is a .............
A) Parameter B) Population C) Sample D) Statistic
Answer:
Option C: Sample
Step-by-step explanation:
We are told that a survey of 500 married or divorced women was carried out and they were asked how old they were when they first married.
Now, this survey represents a portion of the population. And a portion of the population surveyed is known as a Sample.
Thus, the correct answer is Option C
How did you do this question?
Answer:
R = ∞
I = (-∞, ∞)
Step-by-step explanation:
Use the ratio test:
lim(n→∞)│aₙ₊₁ / aₙ│
lim(n→∞)│[xⁿ⁺⁶ / (2(n+1)!)] / [xⁿ⁺⁵ / (2n!]│
lim(n→∞)│[xⁿ⁺⁶ / (2(n+1)!)] × (2n! / xⁿ⁺⁵)│
lim(n→∞)│x 2n! / (2(n+1)!)│
lim(n→∞)│n! / (n+1)!││x│
lim(n→∞) (1 / (n+1))│x│
0
The series converges if the limit is less than 1.
The limit is always less than 1, so the radius of convergence is infinite.
So the interval of convergence is (-∞, ∞).
Which amount is closest to Nathan's total costs after the 15% discount and including 6% sales tax? [Assume tax is applied after the discount is applied.]
Total price = $266.63 + $317.29+62.78=646.7
Discount = 15%
Discount amount = (15/100) x 646.7
=$97.005
Price after discount = $646.7 - $97.005
=$549.695
Sales tax = 6%
Sales tax amount =(6/100) x $549.695
=$32.9817
Total cost = Price after discount + sales tax amount
=$549.695 + $32.9817
=$582.6767
=$$582.68
Solve the following expression when x=9
3- x/3 +2x
Answer: 18
Step-by-step explanation:
1. Replace X with its value (9)
3- 9/3 + 2•9
2. Using PEMDAS, divide 9 by 3
3 - 3 + 2•9
3. Multiply 2 and 9
3 - 3 + 18
4. Subtract 3 from 3
18
Your answer is 18
from 5 miles to 16 miles. round to the nearest whole percent?
Answer:
220%
Step-by-step explanation:
you have to subtract 16 to 5 wich gives u 11 then u put that over five and divide and then u get 2.222222 repeating so it is 2.2 then you move the decimal to the left which gives you 220% hope this helps
Suppose the area of square A is 15 cm² and the area of square C is 42 cm².
What is the area of square B if the three squares create a right triangle?
Answer:
57cm2
Step-by-step explanation:
42cm cube time 15cm cube
Answer:
57cm2
Step-by-step explanation:
I will give you brainy if you answer!!
Answer:
im here lol can I have it?
Savings account A contains $80. Lance will bein depositing money into this account at a rate of $3.50 per week.
Savings account B contains $95. Lara will begin depositing money into this account at a rate of $3.25 per week.
After how many weeks will both accounts contain the same amount of money?
O 290 weeks
15 weeks
0 3.75 weeks
O 60 weeks
Answer:
78
Step-by-step explanation:
dont use this
Nissa is going to plant 485485485 trees this year.
If Nissa plants 555 orchards of trees, how many trees will be in each orchard?
(Assume each orchard has the same number of trees.)
Answer:
97
Step-by-step explanation:
You would need to divide 485/5 to find how many trees in each orchard
485/5 = 97
john has measured some distance on the map. atlanta and kingston are 2.5 cm apart, and kingston and ringgold are 3.5 cm apart. if the actual distance from atlanta to kingston is 60 miles, what is the actual distance from kingston to ringgold?
A: 78 Miles
B: 84 Miles
C: 92 Miles
D: 106 Miles
Answer:
C: 92 miles
Step-by-step explanation:
Took test
Answer:
C the correct answer
Step-by-step explanation:
took the test
Need Help Asap) Graph the piecewise function. ( Look at the picture). Will Mark Brainliest. Please show me points on paper. [ Only Answer If You Know How To Please And Thank You].
Answer:
Hope you find this helpful:
Step-by-step explanation:
PLZ HELP ASAP PLZ I WILL MARK YOU THE BRAINLYIST
