Answer:
The standard deviation is $13,052.
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
When the head of the household has a college degree, the mean before-tax family income is $ 85,050.
This means that [tex]\mu = 85,050[/tex]
Suppose that 56% of the before-tax family incomes when the head of the household has a college degree are between $75,000 and $95,100 and that these incomes are normally distributed.
They are equally as far from the mean, one above, and one below. This means that when [tex]X = 95100[/tex], Z has a pvalue of 0.5 + (0.56/2) = 0.78. So when X = 95100, Z = 0.77. We use this to find [tex]\sigma[/tex].
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]0.77 = \frac{95100 - 85050}{\sigma}[/tex]
[tex]0.77\sigma = 10050[/tex]
[tex]\sigma = \frac{10050}{0.77}[/tex]
[tex]\sigma = 13052[/tex]
The standard deviation is $13,052.
PLEASE HELP I DONT GET THIS ASAP! IS THIS 21??
Daniel is making cupcakes for a school bake sale. He wants to make 120 cupcakes. So far he has made 65% of them. How many more cupcakes does he need to make?
A woman walks at a constant speed of 4.5 km per hr.How long will it take her to walk 10 km. using formula d=St how many hours and minutes
Answer:
1 hour and about 15 minutes.
Step-by-step explanation:
because in an hour she walks 4.5 km. and 4.5•2=9 so just another km will be 10 so estimatly it'll be 1 hour and 15 minutes
2 hours 13 minutes 20 seconds
cost price of television is Rs 40000.The profit is 1/9 of selling price ,find the selling price .
Answer:
₹45000
Step-by-step explanation:
Let the selling price (SP) of the television be ₹x.
Therefore,
Profit [tex] =\frac{1}{9}x[/tex]
Cost price (CP) = ₹ 40000
[tex]Profit = SP - CP \\ \\ \frac{1}{9}x = x - 40000 \\ \\ \frac{x}{9} - x = - 40000 \\ \\ \frac{x - 9x}{9} = - 40000 \\ \\ - \frac{8}{9} x = - 40000 \\ \\ x = 40000 \times \frac{9}{8} \\ \\ x = 5000 \times 9 \\ \\ x = 45000[/tex]
HELP PLEASE I NEED HALP
Answer:
16
Step-by-step explanation:
8x2
What is the value of this expression? {18÷(2+4)}+3×2 Enter your answer in the box.
Answer:
The value of the expression is 78
Step-by-step explanation:
Answer:
Step-by-step explanation:
{18÷(2+4)}+3×2 = {18÷6}+3×2
= 3+3×2
= 3+6
= 9
A car travels 6 mile in 2 hours what is the unit rate
A 3 miles/ hour
B 1 mile/3 hour
C 3 /1 mile
D6 miles/ 1 hour
Answer:
A
Step-by-step explanation:
This is a fraction equal to
6 miles ÷ 2 hours
We want a unit rate where
1 is in the denominator,
so we divide top and bottom by 2
6 miles ÷ 2 2 hours ÷ 2= 3 miles1 hour= 3 miles hour = 3 miles per hour
i hope the internet knows how to do this i dont
All the answers are in the picture attached.
There are 12 inches in 1 foot. Jada is working on improving her vertical jump. She records the measurements in feet and inches. Currently, her standing reach is 6 feet from the ground. The highest point of her jump is 108 inches.
How many inches are in 6 feet?
6 feet = 72 inches.
Complete the statement to describe how to convert feet to inches.
To find the number of inches, ? the number of feet by the unit rate, ? inches per foot.
Answer:
To find out how any inches are in a certain amount of feet you have to multiply it by 12. For example 4 feet is equal to 48 inches. (4x12)
Step-by-step explanation:
Raelyn spent $6.00 on butterfly stickers for her bathroom wall. Each sticker cost 1/10 of a dollar. how many stickers did Raeyln but?From the same store,Beth biught 1/4 the number of butterfly stickers Raeyln bought.How many butterfly stickers did Beth buy?
Answer:
Raeyln bought 60 stickers, Beth bought 15 stickers
Step-by-step explanation:
simple math l.mao
A rectangle with 8 cm width and 3 cm length What is the perimeter and area of the rectangle?
Answer:
P=22cm
A=24cm²
Step-by-step explanation:
1. x²+2xy+y²
2. x²-8x+16
3. 16a⁴_24a²b²+9b
Answer:
1.(x+y)²
2. (x-4)²
3. (4a²-3b²)²
I just need these 4, they should be super easy!! I really need help
Answer:
1. v = 72
2. b = 8
3. 0 or -2
4. C = -24
Step-by-step explanation:
Hope this helps.. Can I get brainiest
Branliest to correct answer please explain how you solved it
You have a 3/6 chance of getting even number (there are 3 even numbers in the 6 die)
You have a 1/16 chance of getting a 16 on the other die
multiply them 1/3 × 1/16 then convert it to decimal form is your answer
Find the surface area of the prism. A solid with six rectangular faces that has length 5 inches, width 3 inches, and height 7 inches. 5 in 3 in 7 in The surface area of the prism is ?
Answer:
290in
Step-by-step explanation:
Find the area of the bigger triangle (will give brainlest)
Answer: a. 90
Step-by-step explanation: plz give me brainliest
WILL GIVE BRAINLIST BLS HELP Find z. Just write the number. Answer should be a whole number.
Answer:
I think the anwser is 8
Step-by-step explanation:
Answer:
It will be 8
Step-by-step explanation:
because the triangle will be in a ratio of 1:[tex]\sqrt{3}[/tex]:2, here 1 corresponds to 4, so the sides will be 4, 4\sqrt{3} and 8!
6. Greg pays a fee of $20 a month for local calls. Long-distance rates are $0.06 per minute for calls within the United States and $0.14 per minute for foreign calls. Suppose Greg makes 300 minutes of long-distance phone calls in January and m of those minutes are for calls within the United States.
Answer:
He pays $18 for the long distance calls because 0.06 x 300 is 18
and if you want to find how much that month do 18+20 which is 38
$38 that month
log8(216)+[log(42)_log(6)]÷log(49)
Answer:
3 log (3) + 1/2Step-by-step explanation:
log8(216) + [log(42) - log(6)] ÷ log(49) =log (216)/ log (8) + [log (7) + log (6) - log (6)] ÷ 2 log (7) =3 log (3) log (2) / 3 log (2) + log (7) / 2 log (7) = 3 log (3) + 1/2Mrs. Stephens bought 3 pounds of tomatoes.How many ounces are equal to 3 pounds?
Answer:
48 ounces
Step-by-step explanation:
16 ounces per pound
3 x 16 = 48 ounces
PLEASE ANSWER ASAP FOR BRAINLEST !!!!!!!!!!!!!!!!!!!!
Answer:
your answer will be Option C.256
Step-by-step explanation:
hope it helps
Ali's dog weighs 8 times as much as her cat together the two pets weigh 54 lb how much does Ali's dog weigh
Answer:
48
Step-by-step explanation:
Cat = x
Dog = 8x
x + 8x = 54
9x = 54
x = 6, Dog = 8 * 6 = 48
find ratio of 13cm : 65m
Answer:
1:5
Step-by-step explanation:
13cm: 65cm = 13cm/65cm =13/65 = 1/5= 1:5
ITS AN EMERGENCY PLEASE HELP
Answer:
$9.80
Step-by-step explanation:
Remember that the way to find the mean of a data set is by adding together all the values, and dividing by the number of the values. So, in this case, you add the 5 values together and get 49. Since there are 5 values, you divide 49 by 5 and get 9.8, or in a real world-money situation $9.80.
I need an answer now please quick and easy
The nominal resistance of a wire is 0.15 Ohm. Random testing of the wire stock yields the following resistance data:
0.148 0.147 0.151 0.146 0.151 0.148 0.147 0.152
0.151 0.148 0.149 0.147 0.146 0.149 0.151 0.147
Does the sign test yield the conclusion, at the 5% significance level, that the median resistance is less than 0.15 Ohm?
Answer:
The median resistance of the wire is not small than 0,15 Ω at 0,05 of level of significance
Step-by-step explanation:
From data we get x ( sample mean ) s ( sample standard deviation) and n size of the sample
0.148 0.147 0.151 0.146 0.151 0.148 0.147 0.152
0.151 0.148 0.149 0.147 0.146 0.149 0.151 0.147
n = 16
x ≈ 0,1487
s = 0,00193
Test Hypothesis
1.-Null Hypothesis H₀ x = μ₀ = 0,15
Alternative Hypothesis Hₐ x < 0,15
We assume data follows normal distribution
as n = 16 we should use a t-student table
As the question is : "Is the median resistance less than 0,15 0hm " we must use one-tail-test ( to the left)
Then:
2.-Significance level α = 5 % α = 0,05
degree of freedom n = 16 df = n - 1 df = 15
From t-table we find t(c) = 1,7531 at the left is t(c) = - 1,7531
3.-t(s) = ( x - 0,15 ) / s / √n
t(s) = 0,1487 - 0,15 / 0,00193/√16
t(s) = - 0,0013 * 4 / 0,00193
t(s) = - 2,69
4.- Comparing t(s) and t(c)
|t(s) | > |t(c)| 2,69 > 1,753
Then t(s) is in the rejection region
5.- We reject H₀ . At 95 % of confidence Interval
Help me ill give brainless please
Answer:
p = $200
Step-by-step explanation:
90/p = 45/100
45p = 9000
p = 9000/45 = $200
May you please help me figure out every angle?
Answer:
<D = 82°
<E = 49°
<F = 49°
Step-by-step explanation:
This is an isosceles triangle because two of the sides are the same length which means the 2 bottom angles are the exact same which means we can set them equal to each other to solve for it.
What is 3x3/6 because I can’t figure it out
Answer:
its 48
Step-by-step explanation:
Answer: 1.5
Step-by-step explanation:
choose the correct equation please
Answer:
y=3×+6
Step-by-step explanation:
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