Answer:
1. 3413
2. 4886
3. 114
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 z-score 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 p-value, we get the probability that the value of the measure is greater than X.
Mean is 400 hours and the standard deviation is 50 hours
This means that [tex]\mu = 400, \sigma = 50[/tex]
1. Between 350 and 450 hours:
The proportion is the pvlaue of Z when X = 450 subtracted by the pvalue of Z when X = 350.
X = 450:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{450 - 400}{50}[/tex]
[tex]Z = 1[/tex]
[tex]Z = 1[/tex] has a pvalue of 0.8413.
X = 350:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{350 - 400}{50}[/tex]
[tex]Z = -1[/tex]
[tex]Z = -1[/tex] has a pvalue of 0.1587.
0.8413 - 0.1587 = 0.6826
Out of 5000:
0.6826 out of 5000. So
0.6826*5000 = 3413
3413 are expected to last between 350 hours and 450 hours.
2.more than 300 hours
The proportion is one subtracted by the pvalue of Z when X = 300.
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{300 - 400}{50}[/tex]
[tex]Z = -2[/tex]
[tex]Z = -2[/tex] has a pvalue of 0.0228
1 - 0.0228 = 0.9772
Out of 5000:
0.9772of 5000 is
0.9772*5000 = 4886
4886 are expected to last more than 300 hours.
3.less than 300 hours
4886 are expected to last more than 300 hours, so 5000 - 4886 = 114 are expected to last less than 300 hours.
Ben has a number cube with sides numbered 1 through 6. He rolls the number cube once.
What is the probability of rolling an odd number?
Answer:
1/5
Step-by-step explanation:
PLEASE HELP MEEE I GAVE 50 POINTSSS
Answer:
1. y = x + 9
a. yes, b. no, c. yes2. y = 4x
a. yes, b. no, c. no3. y = -1/3x
a. no, b. yes, c. no4. x = y + 4
a. no, b. no, c. yes5. x + 2y = 10
a. no, b. yes, c. no40 POINTS HALP
Find the value of x, y, and z
Answer: x= 108°, y=36°, and z= 30°
Step-by-step explanation: 72 and 3y make a supplementary angle which is equal to 180°.
(3z+18) and x are corresponding angles so they're equal to each other.
Five years ago alex was 12 times as old as tom alex is 41 now how old is tom now
Step-by-step explanation:
I think this will help you. Thanks.
HELP MEEE IM TIMED. THANK UUU
Answer:
It's the third option, y = [tex]\frac{1}{3}[/tex] x + 2
Step-by-step explanation:
It is rise over run.
This means you go up one, then go three right.
Answer:
Read below please :)
Step-by-step explanation:
when writing an equation, you use rise over run, or, [tex]\frac{rise}{run} or ( \frac{y}{x} )[/tex], so you'd get 3/1 (3) + 6/2 (3) as you can see, y = half of x. So, because you know what x(6), and what y(3) is, just imput the answers and see which makes sense.
Hope this helps :)
It's the 3rd
I’ll give points + brainalist for the correct answer
Answer:
B: $14.50
Step-by-step explanation:
8% of $6.72 is $3.74 add that to the pay, and it will be $50.46 then 15% of that is $7.57. Add that to the previous number and you get $58.03, then divide by 4 people and you get $14.50.
A baking club sold 1/3 of thier cupcakes in the morning and 1/6 of thier cupcakes in the afternoon. The baking club had 360 cupe cakes at the beginning of the day. how many cupcKes did they sell in the morning?
19 pounds = how many
ounces
Answer:
304oz
Step-by-step explanation:
Can somebody please help me with question number 1
Answer:
1a: 6.283
b: 51.313
c: 285.1
Step-by-step explanation:
Area of a sector = (angle/360)πr²
1a
Area=(45/360)π(4²)=6.283
b
Area=(120/360)π(7²)=51.313
c
Area=(270/360)π(11²)=285.1
Abdallah earns AED 30 for each car he washes. He also gives his little brother AED 20 form his weekly earnings. This week, he wants to have at least / minimum AED500 in spending money. Which inequality represents the number of cars that he must wash?Single choice.
A.30 x + 20 > 500
B.-30x+20 <500
C.30x -20 ≥ 500
D.20x +30≥500
Answer:
Step-by-step explanation:
A
B
Which of the following is least accurately represented by the Venn diagram above?
A. Members of A are real numbers less than 16, and members of B are real numbers divisible
by 2.
B. Members of A are even numbers, and members of Bare odd numbers.
C. Member of A are even numbers, and members of B are multiples of 7.
D. Member of A are real numbers less than 16, ad members of Bare positive numbers.
Mark this and return
Save and Exit
Next
Answer:
my opinion is A hope it helps
Answer: B- Members of A are even numbers, and members of B are odd numbers.
Step-by-step explanation:
A rectangle has a length of 4x + 5 and a width of 8x - 4. Which expression shows the perimeter of the rectangle?
A) 4x - 1
B) 12x -2
C) 12x + 1
D) 24x + 2
Answer:
D
Step-by-step explanation:
perimeter=2(l+b)
2[(4x+5)+(8x-4)]
2(4x+8x+5-4)
2(12x+1)
24x+2
7 and - 1 1/2 on the number line?
Answer:
7 will lie on 0 and 1 and 1/2
Someone help me in this one now please
Answer:
I think 300 plz don't crit me if I got it wrong
Step-by-step explanation:
HELP!!!? PLS ASP!!!!!!!
Answer:
A
Step-by-step explanation:
12x12 = 144 per side
144x6 sides = 864
Answer:864
Step-by-step explanation:
A paper company will manufacture 167 tons of paper this year. Each year, the company produces 18 more tons of paper
than in the previous year. How many total tons of paper will the company produce in the next 4 years (including this year
n = 4)?
Answer:776
Step-by-step explanation:
Choose the theorem that proves these triangles are congruent.
Answer:
ASA
Step-by-step explanation:
If STV is congruent to UVT as UTV is congruent to SVT, then TV is a transversal which is congruent to itself. Therefore, reading left to right, the theorem that proves the triangles congruent is ASA because we have two pairs of congruent angles and one side.
?
What is cos 0if sec 0 = 2?
V2
o 1
2
12
2
Answer:
If the secant = 2, this would be where the cosine = 1/2 = a 60° degree angle in the first quadrant and the 4th quadrant.
And the cot (60°) = 1/√3 = √3 /3
And the cot of a 60° angle in the 4th quadrant (i.e., 330°) is (- √3 /3)
Multiple choice
1. Cube
2.Triangular pyramid
3.Triangular prism
4. Rectangular prism
The expression for the nth term in a sequence is 6n-3. Write the first 4 terms.
Answer:
3, 9, 15, 21
Step-by-step explanation:
6n-3
n = 1: 6(1) - 3 = 3
n = 2: 6(2) - 3 = 9
n = 3: 6(3) - 3 = 15
n = 4: 6(4) - 3 = 21
(MATH) (6) ((PHOTO))
label is ft
Answer:
6 feet
Step-by-step explanation:
Volume of a rectangular prism = L × W × H
15 feet × 8 feet × H = 720 feet ³
120H = 720
H = 720 ÷ 120
H = 6 feet
Ratio of the ages of three children is 2:5:1. The sum of their ages is 32 years. Find the ages of the youngest and the eldest
child.
Answer:the ages of the youngest and the eldest is 4 years and 20 Years respectively
Step-by-step explanation:
Ratio of the ages of three children is 2:5:1.
Total ratio =2+5+1=8
So that
the 1st Child's age =2/8 x 32=8 years
2nd Child's age =5/8 x 32= 20 years
3rd Child's age =1/8 x 32= 4 years
Therefore the ages of the youngest and the eldest is 4 years and 20 Years respectively.
Find the value of (1/9)3
PLZ HELP!!
Answer:
1/3
Step-by-step explanation:
from
The data represented by the following stem-and-leaf plot range
to
2578
324
4129
503
consider this data set.
18, 11, 4, 9, 2, 3, 5
which box plot displays the data shown?
Answer:
d
Step-by-step explanation:
Answer:
its d
Step-by-step explanation:
Jackie bought a CD for $11.50. The sales tax is 6%. How
much did Jackie pay for the CD, including the sales tax?
$12.19
before the tax price is $11.50
and %6 is equal to $0.69
therefore if you add those together you'll get an answer of $12.19
Find P (R|Q). A. 3/11 B. 4/11 C. 7/3 D.
Melanie earns $97.50 in 6 hours. Earl earns $296.00 in 20 hours. Who earns the higher rate per hour? Explain your answer.
When Linda makes potato salad, she uses 6 potatoes and 4 hard-boiled eggs.
How many eggs will she need if she uses 12 potatoes?
Answer:
8
Step-by-step explanation:
So she uses 6 potatoes and 4 hard-boiled eggs then it says "how many eggs will she need if she uses 12 potatoes" So I know that 6 doubled and turned into 12 so 4 will double and turn into 8.
Can somebody help me with these two pls
Answer:
Step-by-step explanation: