Using the normal distribution, it is found that the proportion is closest to 0.023, given by option d.
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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.
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Mean of 25 means that [tex]\mu = 25[/tex]Standard deviation of 4 means that [tex]\sigma = 4[/tex].The proportion above 33 is 1 subtracted by the p-value of Z when X = 33, thus:[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{33 - 25}{4}[/tex]
[tex]Z = 2[/tex]
[tex]Z = 2[/tex] has a p-value of 0.977.
1 - 0.977 = 0.023
Thus the proportion is 0.023, given by option d.
A similar problem is given at https://brainly.com/question/15181104
I NEED HELP PLEASE !!!
Answer:
real numbers, including the boundary lines
Step-by-step explanation:
The inequality symbols in this system both include the "or equal to" case, so the boundary lines of the "shaded area" are part of the solution set.
Ordinarily, weight is a continuous variable, so we presume the weights of almonds and cashews may be any real number. The problem statement gives no clarity in that regard, so it is entirely possible that the given nuts will only be delivered in packages with integer weights.
Based on our presumption, the solution set is best described as below.
_____
Additional comments
Each inequality gives rise to a "shaded region," as shown in the second attachment. The solution set will be the doubly-shaded region, limited to the first quadrant. (Quantities of nuts cannot be negative.) Strictly speaking, the answer choices are all incorrect.
What is 11/12 + ( - 7/12)
Answer:
1/3
Step-by-step explanation:
11/12 + (-7/12)
11/12 - 7/12 =
4/12 =
1/3
Hope this helps.
Hey please answer below :)
I will choose the brainiest answer :)
many thanks
Answer:
1280
106
Step-by-step explanation:
If s ( x ) = 2 - x² and t ( x ) = 3x, what is s ( t ( -7 ) )?
Answer:
- 439
Step-by-step explanation:
s ( x ) = 2 - x² t ( x ) = 3xs ( t ( -7 ) ) = ?--------------------------
t (-7) = 3 * ( -7 ) = -21s ( t ( -7 ) ) = s ( -21 ) = 2 - ( -21 )² = 2 - 441 = - 439s ( t ( -7 ) ) = -439Solve for x:
(x+4)/2= 7
Answer:
x = 10
Step-by-step explanation:
[tex] \frac{(x + 4)}{2} = 7 \\ = > x + 4 = 7 \times 2 \\ = > x + 4 = 14 \\ = > x = 14 - 4 \\ = > x = 10[/tex]
.°. x = 10
Answer:
Given that
2+x/2=7
x/2=7-3
x/2=4
x=4/2
x=2
What is the value of x in this expression:
15= 1/2 + 3/2x + 10
15= 1/2 + 3/2x + 10
X=3
''five times the sum of a number and six is 48''
Hey there! I'm happy to help!
Sum means to add. Let's call our number n.
n+6
We multiply this whole thing by 5.
5(n+6)
And this is 48.
5(n+6)=48
Have a wonderful day! :D
Using the distributive property and combining like terms to simplify the expression.
-5(x+2)+5(x-5)
Answer:
-35
Step-by-step explanation:
-5 (x + 2) + 5 (x -5)
Expand:
= -5x - 10 + 5 (x - 5)
Expand once more:
= -5x - 10 + 5x - 25
Simplify:
-35
PLEASE HELP!!!!
ANSWER NOW!!!
Answer:
C is your answer
Step-by-step explanation:
Please Help!!! brainliest answer!
What is the decimal expansion of 11/40
Answer:
0.275
Step-by-step explanation:
How many times larger than 71 is 710?
Answer:10
Step-by-step explanation:
Using the diagram above solve for y
Answer:
y = 31°
Step-by-step explanation:
If you have any questions about the way I solved it, don't hesitate to ask me in the comments below :)
The product of 6 and t divided by 7
Answer:
1.000
Step-by-step explanation:
Express (x+7)^2(x+7)^2 as a trinomial in standard form.
Answer:
[tex]x^{4}+28x^3+294x^2+1372x+2401[/tex]
Step-by-step explanation:
[tex](x+7)^{2} (x+7)^2 = (x+ 7)(x+7)(x+7)(x+7)\\(x^2+7x+7x+49)(x^2+7x+7x+49)=(x^2+14x+49)(x^2+14x+49)\\x^4+14x^3+49x^2+14x^3+196x^2+686x+49x^2+686x+2401\\x^4+28x^3+294x^2+1372x+2401[/tex]
byron earns $11.00 per hour will byron have to work to earn $143.00?
Answer: 13 hours
Step-by-step explanation:
Money earned per hour = $11.00
Amount he plans to earn = $143. 00
Number of hours he will have to work to reach his goal = 143.00/11.00 = 13.
Therefore, Bryon will have to work of 13 hours to earn $ 143.00
Answer:
13 hours!
Step-by-step explanation:
All I did was divide $143.00 by $11.00 and got 13!
Or you could multiply $11.00 by 13 to get $143.00
They give you the same answer!! :D
if 1 and -3 are the zeroes of the polynomial xcube - axsquare - 13x + b find the values of a and b
Step-by-step explanation:
f(x) = x³ - ax² - 13x + b.
f(1) = 1³ - a(1)² - 13(1) + b = 0
=> 1 - a - 13 + b = 0, b - a - 12 = 0.
f(-3) = (-3)³ - a(-3)² - 13(-3) + b = 0
=> - 27 - 9a + 39 + b = 0, 12 - 9a + b = 0.
Therefore, b - a - 12 = 12 - 9a + b. 8a = 24, a = 3.
=> b - (3) - 12 = 0, b = 15.
-2(x+3)5=11 i need help on that
Answer:
x=-4.1
Step-by-step explanation:
Multiply 5 by −2.
−10(x+3)=11
Divide each term by −10 and simplify.
x+3=−11/10
Move all terms not containing x to the right side of the equation.
x=−41/10
The result can be shown in multiple forms.
Exact Form:
x=−41/10
Decimal Form:
x=−4.1
Mixed Number Form:
x=−4 1/10
Brain can type 50 words per minute. He needs to finish typing his 700-word essay and already has 375 words typed. Write and solve an equation to determine the number of minutes (m) that it will take Brain to finish writing his essay. ( round your answer to the nearest tenth)
Answer:
Step-by-step explanation:
Every minute he types 50 words, so in 700 he types for 14 min. The next step is that there 375 words already done. So you take 700 and and subtract it by 375 and that is 7. Hope It helped you out
Missi designed a stained glass window and made a scale drawing using centimeters as the unit of measurement. She originally planned for the length of the window to be 44 in. but decided to change it to 48 in. If the length of the window in her scale drawing is 4 cm, which statement about the change of scale is true?
One cm represented 11 in. in the first scale, but now 1 cm represents 12 in. in the second scale.
One cm represented 44 in. in the first scale, but now 1 cm represents 48 in. in the second scale.
One cm represented 1 in. in the first scale, but now 1 cm represents 1 in. in the second scale.
One cm represented 12 in. in the first scale, but now 1 cm represents 11 in. in the second scale.
Answer:
A. One cm represented 11 in. in the first scale, but now 1 cm represents 12 in. in the second scale.
Hope this Helps!
Answer:
you answer is A
Step-by-step explanation:
i got it right on the quiz
HELP MEEEEEEEEEEEEEEEEEE
It is A
Because if it is a & negative it will work either way if you try all of them.
Answer:
The answer would be C.
Emanuel works as a car salesman. He makes $13 an hour plus a commission of 5% on all cars he sells. Last month he worked 40 hours and sold cars worth $120,000. How much did he make last month?
Answer:
$6520
Step-by-step explanation:
salary = hourly rate * hours + 5% of sales
salary = $13/hour * 40 hours + 0.05 * $120,000
salary = $520 + $6000
salary = $6520
3 (w+4) + 2=27
3w+12+2w=27
5w+12= 27
-12 -12
5w= 15
—— ——
5 5
w=3
Answer:
Step-by-step explanation:
3w + 12 + 2w = 27
5w + 12 = 27
5w = 15
w= 3
A student believes she can earn at least $5200 from her summer job. She knows that she will have
to buy four new tires for her car at $90 each. She estimates her expenses while she is working at
$660. How much can the student save from her summer wages?
Answer:45 dollars
Step-by-step explanation:
Jk just trying to get brainly points
I know this is super easy but i'm stupid please help!! (3/4)^3= ???
[tex] \huge\sf {\dag Question} [/tex]
[tex] \large\sf { {\dfrac{3}{4}}^{3}} [/tex]
[tex] \huge\sf {\dag Solution } [/tex]
[tex] \large\sf { \leadsto \dfrac{3 \times 3 \times 3}{4 \times 4 \times 4}} [/tex]
[tex] \large\sf { \leadsto \dfrac{27}{64} (Ans) } [/tex]
Can someone please help me with this question.
Answer:
h = (A - 9)/6
Step-by-step explanation:
Step 1: Define
A = b² + 2bh
b = 3
Step 2: Substitute
A = (3)² + 2(3)h
Step 3: Evaluate and solve for h
A = 9 + 6h
A - 9 = 6h
(A - 9)/6 = h
2. Mr. Leu is thinking about getting a new cell phone data plan. He looks at two
different cell phone companies US Cellular and Verizon. US Cellular has a plan
where he pays $36 per month and $12 per GB of data he uses per month.
Verizon has a plan that charges $54 per month and $10 per GB of data he uses
per month. How many GB of data would he have to use in a month to make both
plans cost the same? Which plan would you recommend he use?
Answer:
he would have to use all of it and then $16 more to make both plans cost the same. I think he should go with US Cellular
Step-by-step explanation:
just because
Aisha has 3 pizzas. She is serving each person at a party 14 of a pizza. How many people can she serve at the party? Use the number line to help you solve the problem.[ Please help TwT]
Given:
Aisha has 3 pizzas.
She is serving each person at a party 1/4 of a pizza.
To find:
The number of people she can serve at the party.
Solution:
Let the number of people be x.
Number of pizzas is 3. So, each person get [tex]\dfrac{3}{x}[/tex] part of pizza.
It is given that each person get 1/4 of a pizza.
[tex]\dfrac{1}{4}=\dfrac{3}{x}[/tex]
Using cross multiplication, we get
[tex]1\times x=3\times 4[/tex]
[tex]x=12[/tex]
Therefore, the number of persons in 12.
Now, divide the number line in four equal parts between each pair of consecutive integers.
Then, count the marked points from 0 to 3 excluding 0. These points represent number of persons.
Evaluate each expression.
d = 5
e = 8
f = 10
Answer:
d=f
Step-by-step explanation:
Answer:
d=5
Step-by-step explanation:
PLEASE HURRY!!
What value of x balances the scale?
Answer:
X = 5
Step-by-step explanation:
For the equilibrium position of the scale,
Weights on both the sides of the scale should be equal.
Weights on left side of the scale = Weights on the right side
Weights denoting X + Weights denoting (-1) = Weights denoting (X) + Weights denoting (1)
5(X) + 6(-1) = 3(X) + 4(1)
5X - 6 = 3X + 4
5X - 3x = 6 + 4
2X = 10
X = 5
Therefore, For X = 5, scale will be in the balanced position.
