Answer: 0.0228
Step-by-step explanation:
please check photo explanation
The probability that the sample mean will be greater than 22.2 ounces will be equal to 0.0228
What is probability?Probability is calculated as the proportion of favorable events to all potential scenarios of an event. The proportion of positive results, or x, for an experiment with 'n' outcomes can be expressed.
As per the given values in the question,
[tex]\mu_x[/tex] = 22
σ(x) = σ/√n
= 1/√100
σ(x) = 0.1
P(x>22.2) = 1- P(x<22.2)
= 1- P(x × μ(x))/ σ(x) < (22.2 - 22)/0.1
1 - P (z < 2.00)
1- 0.9772
= 0.0228
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A bank wishes to estimate the mean balances owed by customers holding Mastercard. The population standard deviation is estimated to be $300. If a 98% confidence interval is used and the maximum allowable error is $80, how many cardholders should be sampled?
A. 76
B. 85
C. 86
D. 77
Answer:
D. 77
Step-by-step explanation:
We have to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:
[tex]\alpha = \frac{1 - 0.98}{2} = 0.01[/tex]
Now, we have to find z in the Z-table as such z has a p-value of [tex]1 - \alpha[/tex].
That is z with a p-value of [tex]1 - 0.01 = 0.99[/tex], so Z = 2.327.
Now, find the margin of error M as such
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.
The population standard deviation is estimated to be $300
This means that [tex]\sigma = 300[/tex]
If a 98% confidence interval is used and the maximum allowable error is $80, how many cardholders should be sampled?
This is n for which M = 80. So
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
[tex]80 = 2.327\frac{300}{\sqrt{n}}[/tex]
[tex]80\sqrt{n} = 2.327*300[/tex]
[tex]\sqrt{n} = \frac{2.327*300}{80}[/tex]
[tex](\sqrt{n})^2 = (\frac{2.327*300}{80})^2[/tex]
[tex]n = 76.15[/tex]
Rounding up:
77 cardholders should be sampled, and the correct answer is given by option d.
Maria, Kevin, and Dan have a total of 96$ in their wallets. Dan has 6$ less than Maria. Kevin has 3 times what Dan has. How much do they have in their wallets?
Answer:
Hi Keke,
Let Amy have x dollars. Then Jose has x - 8 dollars and Milan has 4(x - 8) dollars.
x + (x-8) + 4(x-8) = 152
6x - 40 = 152
6x = 192
x = 32
Amy has $32
Jose has 32 - 8 = $24
Milan has 4*24 = $96
Which choice shows 30 + 10 + 20 rewritten correctly using the commutative property and then simplified correctly?
A.30 + 20 + 10 = 50 + 10 = 60.
B.30+10+10+10=40+10+10=50+10=60
C.30+20+10=50+30=80
D.30+10+10+10=40+10=50
Answer:
A. 30+20+10=50+10=60
Step-by-step explanation:
The commutative property is the property of which you can rearrange the numbers around but the answer stays the same. From the original equation, you moved 20 and 10 around and added 30+20=50 then, you add 10 plus that 50 since you haven't done anything to the 10 yet. So, 50+10=60.
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The length of a rectangle is three times its width. If the area of the rectangle is 300 in squared”, find its perimeter.
I need to know this answe ASAP
Answer:
look at the value of f(x) carefully when we put 7 from x the x take 2 value
Step-by-step explanation:
And g(x) function take 4 value. please look at the first option it has extra 2 so 2 plus 2 equal to 4 this means that the answer might be A. But look at D option it multiply by 2 so D option might be correct answer but we need some info and I want to continue. When I put 1 from x f(x)=1 and g(x)= 2 but when we look at the first option it is 1+2 equal to 3 but it must be 2 so the correct answer is not A and the correct answer is D
What is the Width of 6.36-9.24
Answer:
-2.88
Step-by-step explanation:
6.36-9.24= -2.88
An investment pays 21% interest compounded weekly what percent as a decimal is the effective annual yield? Enter your answer as a decimal rounded to four decimal places.
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Answer:
0.2332
Step-by-step explanation:
The relationship between the effective annual yield (e) and the nominal annual interest rate (r) compounded n times per year is ...
e = (1 +r/n)^n -1
For weekly compounding, we have n=52, so ...
e = (1 +0.21/52)^52 -1 = 0.2332 . . . . . . . about 23.32%
Dividing integers
7. (-154) ➗ (-14) =
11. (-40) ➗10=
15. 90 ➗ (-15)=
16. 108 ➗ (-9)=
17. (-48) ➗ (-6)=
18. (-105) ➗ 7=
first we shall learn the rules.when numbers with same sign are divided it gives pisitive sign but, when numbers of different signs are divided it gives negetive sign.
here,
7. (-154) ➗ (-14) =11
11. (-40) ➗10=-4
15. 90 ➗ (-15)=-6
16. 108 ➗ (-9)=-12
17. (-48) ➗ (-6)=8
18. (-105) ➗ 7=-15
hope it helps you..........
What is the solution of log3x + 4 4096 = 4?
Step-by-step explanation:
X= - 1
X=0
X=4/3
X=3
We solve for x by simplifying both sides of the equation, then isolate the variable.
Answer :
C (x=4/3)
At Dorcas's Hair Salon there are three hair stylists. 27% of the hair cuts are done by Martin, 30% are done by Jennifer, and 43% are done by Dorcas. Martin finds that when he does hair cuts, 6% of the customers are not satisfied. Jennifer finds that when she does hair cuts, 7% of the customers are not satisfied. Dorcas finds that when she does hair cuts, 3% of the customers are not satisfied. Suppose that a customer leaving the salon is selected at random. If the customer is not satisfied, what is the probability that their hair was done by Dorcas
Answer:
Dorcas's Hair Salon
If the customer is not satisfied, the probability that their hair was done by Dorcas is:
= 18.75%
Step-by-step explanation:
Number of hair stylists = 3
Martin Jennifer Dorcas Total
Percentage of haircuts
done 27% 30% 43% 100%
Percentage of dissatisfied
customers 6% 7% 3%
Proportion of dissatisfied
customers 37.5% (6/16) 43.75% (7/16) 18.75% (3/16)
If the customer is not satisfied, the probability that their hair was done by Dorcas
= 18.75%
Points A(p,6), B(-3,q) and C(r,8) are on a line whose equation is y=-2x+3. How find the unknown coordinates of A,B, and C?
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Answer:
p = -3/2q = 9r = -5/2Step-by-step explanation:
Put the given coordinates in the equation for the line and solve for the unknown.
y = -2x +3
(p, 6) ⇒ 6 = -2p +3 ⇒ p = -3/2
(-3, q) ⇒ q = -2(-3) +3 ⇒ q = 9
(r, 8) ⇒ 8 = -2r +3 ⇒ r = -5/2
7. When running you discover you are only in second place. You were initially running at a speed of 18 km/h and
increase your speed to 21 km/h. It takes you 3 seconds to speed up to your new rate. What is your
acceleration
Step-by-step explanation:
check it out.
Hope it helps.
5 increased by the product of -3 and a
number x
in algebraic expression
Answer:
5+(-3x)
Step-by-step explanation:
"5 increased by" means you are going to be adding 5 to something.
"product of -3 and x" means that you multiply -3 by x, creating (-3x)
The given statement "5 increased by the product of -3 and a number x" as an algebraic expression can be written as -3x+5.
What is an Expression?In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.
The given statement "5 increased by the product of -3 and a number x" as an algebraic expression can be written as,
Product of -3 and a number x⇒ -3 × x = -3x
Product increased by 5,⇒ -3x + 5
Hence, the given statement "5 increased by the product of -3 and a number x" as an algebraic expression can be written as -3x+5.
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Which function has lowest rate of change?
5x – 2y = 15 (or) Cost of 5 pencils is 15 dollars
O Algebraic Function
O Verbal Description
Both the functions
O None of the choices
Answer:
A: Algebraic Function
Step-by-step explanation:
Algebraic function is given as;
5x – 2y = 15
Since we are dealing with rate of change, let's make y the subject first and find dy/dx.
Thus;
2y = 5x - 15
y = (5x/2) - 15/2
dy/dx = 5/2
dy/dx = 2.5
The verbal function is given as;
Cost of 5 pencils is 15 dollars
Thus, rate of 1 pencil = 15/5 = 3 pencils per dollar
We can see that the lowest rate of change is 2.5 and it is the algebraic function.
For the z test, the critical region for rejection of H0 _________. Group of answer choices depends on N is determined only by alpha and N allows us to accept the null hypothesis is determined only by alpha
Answer:
allows us to accept the null hypothesis
Explanation:
The z test(in a normal distribution) score for the critical region determines whether we reject the null hypothesis(H0) or accept the null hypothesis(reject or fail to reject the null hypothesis). If we fail to reject the null hypothesis, then we have accepted the alternative hypothesis (H1). The critical region rejection for z test is calculated using alpha and z score, if z score is greater or less than alpha(positive or negative), we reject the null hypothesis.
A truck was driven a 140 miles in 3 1/2 hours. If a car is driven the same distance at an average speed of 20 miles an hour faster than the trucks average speed, how long will it take the car.
Find the speed of the truck:
140 miles / 3.5 hours = 40 miles per hour
The car was 20 miles an hour faster: 40 + 20 = 60 miles per hour.
Divide distance by speed: 140 miles / 60 miles per hour = 2 1/3 hours
Answer: 2 1/3 hours
Answer: 2 2/6 hours
Explanation:
Distance = 140 miles
Time = 3 1/2 hours
= 7/2 hours
Speed = Distance/Time
= 140/(7/2)
= 40 miles
New distance = 140 Miles
New Speed = 60 miles
New Time = 140/60
= 2 2/6 hours
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solve 3x-4=√(2x^2-2x+2)
Answer:
Step-by-step explanation:
Begin the solution by squaring both sides of the given equation. We get:
(3x - 4)^2 = 2x^2 - 2x + 2, or:
9x^2 - 24x + 16 = 2x ^2 - 2x + 2
Combining like terms results in:
7x^2 - 22x + 14 = 0
and the coefficients are a = 7, b = -22, c = 14, so that the discriminant of the quadratic formula, b^2 - 4ac becomes (-22)^2 - 4(7)(14) = 92
According to the quadratic formula, the solutions are
-b ± √discriminant -(-22) ± √92 22 ± √92
x = ------------------------------- = ----------------------- = ------------------------
2a 14 14
Please help find the probability that x >25.
Answer
The total probability is one:
Total probability of being greater than 25 is 1 because the totals of all values less than 25 is 1.
I Miss math
What 2/3 ×5/7. = What
Step-by-step explanation:
heres the answer to your
which graph represents the absolute value of -3
[tex]\sf\huge\underline\color{pink}{༄Answer:}[/tex]
Slope: 0
y - intercept: (0, -3)
Kindly click the attached photo ^^
[tex]\color{pink}{==========================}[/tex]
#CarryOnLearning
[tex]\sf\color{pink}{༄⁂✰Bae \: Yoonah}[/tex]
What is 17,210,000,000 written in scientific notation?
Answer and Step-by-step explanation:
The answer is 1722.1 x [tex]10^8[/tex]
#teamtrees #PAW (Plant And Water)
Answer:
1.72x10^10
Step-by-step explanation:
POSITIVE EXPONENT: means a number is huge
NEGATIVE EXPONENT: indicates a number is teeny-tiny
can yall answer it in the box like the numbers
Answer:
Hi!
Step-by-step explanation:
1234567890987654211234567890......
Step-by-step explanation:
12345678890098764321
The property taxes on a house were $1000. What was the tax rate if the house was valued at $125,000
Answer:
The tax rate was 0.8%
Step-by-step explanation:
Set up an equation:
x = tax rate
1000/125000 = x/100
Cross multiply:
1000 × 100 = 125000 × x
100000 = 125000x
0.8 = x
Check your work:
1000/125000 = 0.8/100
0.008 = 0.008
Correct!
Another way to check your work:
1000 × 100 = 125000 × 0.8
100000 = 100000
Correct!
The value of f(x)= 5x -4x²+3 when x= -1, is
Answer:
F(x) =5(-1)-4(-1)^2+3,
=-5-4+3
=-6
a/(b+ce^x) dx = ? Please solve this
Answer:
1/ab en (c/be^-x+c)
Step-by-step explanation:
Sure is a harsh question! Here's my Explanation
b+ce^x = t
ce^x an = dt
e^xan = dt/c
an = dt/ce^x = dt/c(t-b/c) = at/(t-b)
en = t-b/c
A/b+ce^x dx = a/t dt/t-b
a ∫1/t (t-b) dt = 1/a∫ (1/(t-b) - 1/t) dt
= 1/ab [∫1/(t-b) dt + ∫-1/t dt]
= 1/ab [en (t-b) - en(t)]
= 1/ab en ((t-b)/t)
t = b + ce^x
= 1/ab en (b+ce^x -b/b+ce^x)
=1/ab en (ce^x/b+ce^x)
= 1/ab en (c/be^-x+c)
find the specified lengths and measures. Given: ΔABC≅ΔDEF Find: AB and m∠F
Answer:
Step-by-step explanation:
48 students is 80% of how many students?
Answer:
60
Step-by-step explanation:
let X be the total number of students.
48÷x *100 = 80
4800= 80x
X = 60 students
Find the assessed value of a store with a market value of $ 163,000
if the rate for assessed value is 25% of market value.
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Answer:
$40,750
Step-by-step explanation:
Leaving out the extra words, the question is asking you to find 25% of $163,000.
0.25 × $163,000 = $40,750
The assessed value is $40,750.
Given that,
→ Rate for assessed value = 25%
→ Market value = $ 163,000
We have to find,
→ 25% of $ 163,000
Then value of 25% is,
→ 25 ÷ 100
→ 0.25
Let's find the assessed value,
→ 25% × $ 163,000
→ 0.25 × 163,000
→ 40750
Thus, $ 40750 is assessed value.
One third of number is four times eleven. What is half of that number
Answer:
One third of a number is four times eleven. What is the half of that number?
Explanation:
Four times 11 = 11 X 4 = 44
One third (1/3) of the number = 44
The number is = 44 X 3 = 132
Therefore half of the number 132 = 66
Answer:
66
Step-by-step explanation:
11 X 4 = 44
One third (1/3) of the number = 44
The number is = 44 X 3 = 132
Therefore half of the number 132 = 66
4.Siti and Janice spent 3h 25min altogether in Shopping malls A and B. If they spent 1h 45min in Shopping mall A, how long did they spend in Shopping mall B?
Answer:
1 hour and 40 minutes
Step-by-step explanation:
→ Convert 3 hr and 25 minutes to minutes
( 3 × 60 ) + 25 = 205 minutes
→ Convert 1 hr and 45 minutes to minutes
( 1 × 60 ) + 45 = 105 minutes
→ Minus the answers from each other
205 - 105 = 100 minutes
→ Convert 100 minutes to hours and minutes
1 hour and 40 minutes
