Answer: the true answer is A
Step-by-step explanation:
Good luck, give Brainliest
Using the normal distribution, it is found that the probability that more than 524 customers will come to the store on a given day is given by:
A. 0.15%.
Normal Probability DistributionThe z-score of a measure X of a normally distributed variable with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex] is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The z-score measures how many standard deviations the measure is above or below the mean. Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.In this problem, the mean and the standard deviation are given, respectively, by:
[tex]\mu = 428, \sigma = 32[/tex].
The probability that more than 524 customers will come to the store on a given day is one subtracted by the p-value of Z when X = 524, hence:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{524 - 428}{32}[/tex]
Z = 3
Z = 3 has a p-value of 0.9985.
1 - 0.9985 = 0.0015 = 0.15%.
Hence option A is correct.
More can be learned about the normal distribution at https://brainly.com/question/24663213
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Mike will roll two number cubes labeled 1 through 6. After each roll, he adds the two numbers showing and records the result. He will roll the cubes 500 times. About how many times can he expect a sum greater than 8?
Answer:
In 500 rolls he can expect to get this outcome about 27.77...%* 500 = 139 times.
what is the probability of each of the following? a.Not drawing a blue chip, where probability of (drawing a blue chip) =3/8 b. Not seeing Fred tomorrow, where probability of (seeing Fred tomorrow) =2/5 c.Not going to the movies this evening, where probabilty of (going to the movies this evening)= 3/4 d. Not raining tomorrow, where probabilty of (raining tomorrow) =30%
please help:/
Answer:
a. 5/8 b. 3/5 c. 1/4 d. 70%
Step-by-step explanation:
Ivan found the change in a scale factor. His work is shown below. What error did Ivan make?
Old length = 35 feet New length = 10 feet
StartFraction 10 divided by 5 over 35 divided by 5 EndFraction = StartFraction 2 over 7 EndFraction
Answer:
PLS give me brainliest likes and 5 stars
Step-by-step explanation:
Here
Ivan wrote the ratio incorrectly. The ratio should be written as the old length to the new length, so it should be 35
10
, which reduces to 7
2
. When going from larger to smaller dimensions, the change in the scale factor is a ratio that looks like an improper fraction, with a larger number in the numerator and a smaller number in the denominator.
Answer:
Ivan wrote the ratio incorrectly. The ratio should be written as the old length to the new length, so it should be 35/10, which reduces to 7/2. When going from larger to smaller dimensions, the change in the scale factor is a ratio that looks like an improper fraction, with a larger number in the numerator and a smaller number in the denominator.
Step-by-step explanation:
In a 100m race an athlete took 9.8 seconds:
a) Draw a distance-time graph to represent this information
b) determine the average velocity
c) distance traveled in 3 seconds
d) the time taken to cover 80m
Step-by-step explanation:
b) average velocity : ∆x/∆t = 100/9.8 ≈ 10.204 m/s
c) ∆x = v.∆t = 10.204 × 3 = 30.612 m
d) ∆t = ∆x/v = 80/10.204 = 7.84 s
Amy buys 23 envelopes for 16p each and pays with a £5 note. How much change does she get? Give your answer in pounds
Answer: £1.32
Step-by-step explanation:
Amy buys 23 envelopes and each of them cost 16p.
1p makes a pound so 16 pence is £0.16.
23 envelopes would cost:
= 0.16 * 23
= £3.68
Her change in Pounds would be:
= 5 - 3.68
= £1.32
The volume of the oblique cylinder is 24 ft?,
Which statements are true? Check all that apply,
The height of the cylinder is 3.4 ft.
The diameter of the cylinder is about 4.5 ft.
3.4 ft
The diameter of the cylinder is about 3 ft.
The radius of the cylinder is about 6 ft.
A right cylinder with the same height and radius as
this oblique cylinder would also have a volume of
24 fri
Answer:
A, C, E
Step-by-step explanation:
Right on Edge
Find the possible values of k if one of the roots of the quadratic equation x^2 - kx + 8 = 0 is twice the other.
Answer:
[tex]k=\pm 6[/tex]
Step-by-step explanation:
The given quadratic equation is :
[tex]x^2 - kx + 8 = 0[/tex]
One of the roots of this equation is twice that of the other. Let the roots are [tex]\alpha \ and\ \beta[/tex], [tex]\alpha =2\beta[/tex]
Sum of roots, [tex]\alpha +\beta =\dfrac{-b}{a}[/tex]
[tex]\alpha +\beta =\dfrac{-(-k)}{1}\\\\\alpha +\beta =k\\\\3\beta =k\ .......(1)[/tex]
Product of roots,
[tex]\alpha \beta =\dfrac{c}{a}\\\\2\beta ^2=\dfrac{8}{1}\\\\\beta =\pm 2[/tex]
If [tex]\beta =\pm2[/tex],
[tex]k=3(2)\\\\=\pm 6[/tex]
So, the value of k is equal to [tex]\pm 6[/tex].
Can someone help me on this question?
What is the product (3x10^9) x (2x10^17) in scientific notation
Answer:
6·10^26
Step-by-step explanation:
Multiply together the coefficients 3 and 2, obtaining 6. We must also multiply together the powers of 10; we do this by ADDING the exponents 9 and 17, to get the final answer
6·10^26
Answer:
6•10^26 is the answer.
What is the area of triangle ABC?
Select the correct choice.
A: 6sqrt3
B: 18sqrt3
C: 36sqrt3
D: 72sqrt3
Answer:
C
Step-by-step explanation:
The area (A) of the triangle is calculated as
A = [tex]\frac{1}{2}[/tex] bh ( b is the base and h the perpendicular height )
The triangle is equilateral , since 3 angles = 60°
Then base AB = 12
Find height CD using the sine ratio in the right triangle ( there are 2 )
sin60° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{CD}{BC}[/tex] = [tex]\frac{CD}{12}[/tex] = [tex]\frac{\sqrt{3} }{2}[/tex] ← exact value of sin60° ( cross- multiply )
2CD = 12[tex]\sqrt{3}[/tex] ( divide both sides by 2 )
CD = 6[tex]\sqrt{3}[/tex]
Then
A = [tex]\frac{1}{2}[/tex] × 12 × 6[tex]\sqrt{3}[/tex] = 6 × 6[tex]\sqrt{3}[/tex] = 36[tex]\sqrt{3}[/tex] units² → C
Which number line shows the correct locations of all the given values?
Answer:
it would be c because it is plotted correctly
You earned a 72% on a science test. You answered 18 questions correctly. How many questions were on the test? PLS put a step by step explanation cus I am doing a quiz and no work =no points. PLS put a explanation.
Answer:
4
Step-by-step explanation:
72/18=4
Answer:
25
Step-by-step explanation:
y = 18 ÷ [tex]\frac{72}{100}[/tex]
y = 18 ÷ 0.72
y = 25
A number diminished by 51 is 73.
Answer:
124
Step-by-step explanation:
124 - 51 = 73
Write an equation in point-slope form of the line that passes through the point (4, 4) with slope 3.
Answer:
(y-4) = 3(x-4)
Step-by-step explanation:
(y-4) = 3(x-4)
y-4= 3x-12
Y= 3x- 8
BRAINLIEST!!! See pic BELOW!!!
Answer:
160° = (10x + 50°) [Vertically Opposite Angles]
[tex]10x + 50 = 160 \\ 10x = 160 - 50 \\ 10x = 110 \\ x = \frac{110}{10} \\ x = 11[/tex]
Option A. 11 is the correct answer.
At summer camp, the cook asks 6 campers to help with slicing watermelons. Each camper slices 4 ½ watermelons. How many melons do the campers slice?
Answer:
27 melons
Step-by-step explanation:
Number of melons sliced = Number of melons sliced by each camper * number of campers
= 4 1/2 * 6
[tex]= \frac{9}{2}*6\\\\=9*3\\\\= 27[/tex]
Answer:
Solution :-No. of campers = 6
Melon slice by 1 camper = 4½
Total melons sliced = 4 ½ × 6
Total melons sliced = 9/2 × 6
Total melons sliced = 9 × 3
Melons sliced = 27★
[tex] \\ [/tex]
I need some help with this I don't understand this much.
Answer:
ΔX = 6 – -1 = 7
ΔY = 3 – 2 = 1
Step-by-step explanation:
the slope is 7 the equation is y = 1/7x +15/7
x1=6
y1=-6
x2=3
y2=2
Someone help please thanks.
Answer:
t=x+44
Step-by-step explanation:
the x ounces are being added to the vase's pre-existing 44 ounces so therefore the equation is t=x+44
55percent of her mony was spent for food. Express 55 percent as a decimal.
Answer:
0.55
plz mark me as brainliest.
Answer:
0.55
Step-by-step explanation:
55/100=
55 divided by 100
=0.55 because the decimal point will move 2 numbers forward
The population of bacteria in an
experiment is increasing by 90% each
day. If there were 100 bacteria at the
beginning of the experiment, predict the
number of bacteria in 5 days.
First, complete the equation:
Future Amount = [?](1+[DU
what would the equation
Answer:
Future amount = 100(1.9)^5 ;
2476
Step-by-step explanation:
P(t) = P0 * (1 + r)^t
P(t) = 100 * (1 + 90/100)^t#
P(t) = 100 * (1 + 0.9)^t
Therefore, the number of bacteria in 5 years :
P(5) = 100 * (1 + 0.9)^5
P(5) = 100 * (1.9)^5
P(5) = 100 * 24.76099
P(5) = 2476.099
P(5) = 2476 bacteria
P(10%
PLEASE HELP!!
A plane is going to fly 400 miles at a planned speed of 570 mph. The flight will have an average headwind of w miles per hour the entire time, meaning the plane is flying directly against the wind. The time T, in hours, of the flight is a function of the speed of the headwind w, in mph, and can be modeled by
T(w) = 400/570 - W
a) What does T(150) mean in this situation?
b) At what value of w does the graph have a vertical asymptote? Explain how you know and what this asymptote means in the situation.
Step-by-step explanation:
t(150) = 400/570-150
=400/420
=20/21
=.95238
plzzzz hurry ill mark you brainly
Answer:
1: z = 4.
2: y= 6.
3: w= 13.
4: a= 36.
Please like and mark brainliest!
Hope it helps!
Answer: Z is equal to 4, for the first one. The second one is Y equals 6. The 3rd one is W equals 13. The fourth and final one is A equals 36.
Step-by-step explanation:
Long Explanatio, but I gave the answers.
Please Help Me! I would be really grateful!
Answer:
weight in an elevator must be less then 2000 - w is less then 2000 or the first option
a ton is 2000 lbs - w=2000
the pool must hold at least 2000 gallons - the second option
the scale can hold up to and including 2000 lbs - the fourth option
my car weighs more then 2000 lbs- the last one
I think this is right, I hoped I helped
Nancy’s gross annual income is $46,905. She is paid monthly and has 9% deducted from her paychecks for her 403(b). Her employer matches her deduction, up to 3%.
How much is deposited into her retirement plan each payday?
Answers:
$234.52
$351.79
$469.05
$703.58
_______________
Thank you in advance!
Answer:
The amount deposited into her retirement plan each payday is;
$469.05
Step-by-step explanation:
From the details given on Nancy's income, we have;
Nancy's gross annual income = $46,905
The percentage deducted from her monthly paycheck for her 403(b) = 9%
The percentage her employer matches her deductions up to = 3%
Therefore, we have;
Her monthly pay = (Her gross annual income)÷12
∴ Her monthly pay = $46,905÷12 = $3,908.75
The amount deducted from her paycheck, A = 9% of $3,908.75
∴ A = 9/100 × $3,908.75 = $351.7875
The amount her employer matches her deductions up to, B = 3% of $3,908.75
∴ B = 3/100 × $3,908.75 = $117.2625
Therefore;
The amount deposited into her retirement plan each payday, D = A + B
∴ D = $351.7875 + $117.2625 = $469.05
The amount deposited into her retirement plan each payday, D = $469.05.
Solve the following simultaneous linear equations.
2x + y = 5
4x – 3y = -10
Answer:
(1/2,4)
Step-by-step explanation:
First, determine y in first equation: 2x+y=5 or y=5-2x
replace value of y determined in first equation (5-2x) into 2nd equation
4x-3(5-2x)=-10
4x-15+6x=10
10x=5
x=1/2
put value of x into either equation to solve for y so
2(1/2)+y=5
1+y=5
y=4
answer: x=1/2, y=4
check answer by substituting x and y into either equation:
4x-3y=-10
4(1/2)-3(4)=-10
2-12=-10
-10=-10
or
2x+y=5
2(1/2)+4=5
1+4=5
5=5
Mateo, a 31-year-old nonsmoker ($5.50), wants to purchase $100,000 in coverage for himself and $75,000 for his spouse, who is female, 30 years old, and does not smoke ($3.50). What will the insurance premium be?
A. $30.50
B. $32.50
C. $35.50
D. $36.00
Answer: B. $32.50
Step-by-step explanation:
The premiums listed in brackets are for every $25,000 of coverage.
Mateo wants a $100,000 coverage so we need to divide this by $25,000 to see how much more he will have to pay:
= 100,000 / 25,000
= 4
Mateo will have to pay 4 times the $5.50 for himself:
= 4 * 5.50
= $22.00
For his spouse who requires $75,000, he will have to pay:
= 75,000 / 25,000
= 3
= 3 * 3.50
= $10.50
Total Mateo is to pay for both his spouse and himself is:
= 22 + 10.5
= $32.50
Answer: %32.50
9 + 10 = 21
Pls help me and pls show the complete working
PLS HELP ASAP WILL GIVE BRAINLEAST
Answer:
do cubic root of 64 cause the volume is S^3
so the side is 4
Answer:
4
Step-by-step explanation:
4 is the cube root of 64
Find the value of x.
B
10-X
3
D
E
X
2
С
А
x = [?]
Answer:
the must be 3 it couldn't be 10-x.
A specialty candy shop makes chocolate covered cherry and graham cookie bites. The cherry is spherical with a diameter of 3 cm and the graham cookie is a rectangular prism with a base measuring 4 cm by 4 cm and a thickness of 0.5 cm. What is the total surface area of the bite if each piece is drenched in chocolate from top to bottom before being put together, to the nearest tenth of a square centimetre?
Answer:
44.7cm^2
(I had a similar problem the only difference is that instead of 4 by 4 cm mine is 5 by 5cm so you'll still have to do some calculations but it's the same process
step-by-step
