Answer:
a. Z = 1.99
b. 97.67%
c. Z = 2.56
d. 0.52%
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.
a. If a man is 6 feet 3 inches tall, what is his z-score (to two decimal places)?
The heights of adult men in America are normally distributed, with a mean of 69.7 inches and a standard deviation of 2.66 inches, and thus, we have [tex]\mu = 69.7, \sigma = 2.66[/tex]
6 feet 3 inches = 6*12 + 3 = 75 inches, which means that we have to find z when X = 75. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{75 - 69.7}{2.66}[/tex]
[tex]Z = 1.99[/tex]
b. What percentage of men are SHORTER than 6 feet 3 inches?
The proportion is the p-value of Z = 1.99.
Looking at the z-table, Z = 1.99 has a p-value of 0.9767.
0.9767*100% = 97.67%, which is the answer.
c. If a woman is 5 feet 11 inches tall, what is her z-score (to two decimal places)?
The heights of adult women in America are also normally distributed, but with a mean of 64.5 inches and a standard deviation of 2.54 inches, and thus, we have [tex]\mu = 64.5, \sigma = 2.54[/tex]. We have to find Z when X = 5*12 + 11 = 71. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{71 - 64.5}{2.54}[/tex]
[tex]Z = 2.56[/tex]
d. What percentage of women are TALLER than 5 feet 11 inches?
The proportion is 1 subtracted by the p-value of Z = 2.56.
Looking at the z-table, Z = 2.56 has a p-value of 0.9948.
1 - 0.9948 = 0.0052
0.0052*100% = 0.52%, which is the answer.
Exercises gives the positions s = f(t) of a body moving on a coordinate line, with s in meters and t in seconds.
a. Find the body’s displacement and average velocity for the given time interval.
b. Find the body’s speed and acceleration at the endpoints of the interval.
c. When, if ever, during the interval does the body change direction?
s = t^2 - 3t + 2, 0 <= t <= 2
Hi there!
a. Find the displacement by plugging in the values of the interval:
f(2) - f(0) = 0 - 2 = -2 meters.
Average velocity is the slope, thus:
[tex]v_{avg} = \frac{f(2) - f(0)}{2 - 0} = \frac{0 - 2}{2 - 0} = -1[/tex]
The average velocity for the interval is -1 m/s.
b. To find the speed at the endpoints, we must take the derivative to get the velocity equation:
f(t) = t² - 3t +2
f'(t) = 2t - 3, at t = 0, speed = |-3| = 3 m/s. At t = 2, speed = 2(2) - 3 = 1 m/s.
Acceleration is the second derivative, thus:
f''(t) = 2. The acceleration is 2 m/s² for both endpoints.
c. When the body changes direction, the first derivative changes signs. Thus:
0 = 2t - 3
3 = 2t, t = 1.5 sec. This is where the body changes direction.
Cassandra baked a cake measuring 13 in. x 9 in. x 2 in. She wants to add frosting to the cake. The only side that will not be frosted is the bottom of the cake.
What is the surface area that will be frosted with icing?
O A 24 in. ^2
O B 117 in. ^2
O C 205 in. ^2
O D 322 in. ^2
DO NOT ANSWER IF YOU DO NOT KNOW THE ANSWER! Whoever answers correctly will get Brainliest! :)
Answer:
C
Step-by-step explanation:
The cake has a shape of a rectangle prism
first of all we can find the base area, that represents the top of the cake
base area = base x width = 13 x 9 = 117 in^2
Now we have to find the lateral area
base perimeter = (base + width) x 2 = (13 + 9) x 2= 44 in
LA = base perimeter x height = 44 x 2 = 88 in^2
total icing surface:
base area + LA = 117 + 88 = 205 in^2
Special right triangles.
Find u.
Please help due in 30 min!
Answer:
2 km
Step-by-step explanation:
Reference angle = 45°
Opposite = u
Hypotenuse = 2√2 km
To find u, apply SOH:
Sin 45° = Opp/Hyp
Sin 45° = u/2√2
√2/2 = u/2√2 (sin 45 = √2/2)
Cross multiply
2*u = √2*2√2
2u = 4
Divide both sides by 2
u = 4/2
u = 2 km
Which ordered pair is a solution to - 8x + 6y <3x - 30?
A (-6, -16)
B (6, -6)
© (69)
D (2, 3)
Answer:
B ( 6,-6) ..
I think I'm correct
lil help here please
The product of -12 and a number is the same as the sum of the number and 26
-2
Step-by-step explanation:
12x＝x+26
-13x＝26
x＝-2
The four approved methods of document destruction are
Answer:
1area
2 water
3 food
4 house
Answer:
shredding, incineration, pulping, and pulverization.
Step-by-step explanation:
Shredding: This involves cutting paper into small pieces using a shredding machine. The shreds are usually too small to be reconstructed, making it an effective method for destroying sensitive documents.
Incineration: This involves burning paper to ash using high heat. Incineration is a fast and efficient way to destroy large volumes of documents, but it is not always practical or environmentally friendly.
Pulping: This involves breaking down paper using water and chemicals to create a slurry that can be recycled or disposed of. This method is effective for destroying large volumes of paper, but it is not suitable for destroying documents with sensitive information.
Pulverization: This involves grinding paper into a fine powder using a pulverization machine. The powder is then disposed of or recycled. This method is effective for destroying documents with sensitive information, but it is not practical for destroying large volumes of paper.
Plz help I will give brainiest
Answer:The value of the z-score tells you how many standard deviations you are away from the mean. ... A positive z-score indicates the raw score is higher than the mean average. For example, if a z-score is equal to +1, it is 1 standard deviation above the mean. A negative z-score reveals the raw score is below the mean average.
Step-by-step explanation:
A cone has a radius of 7cm and a height of 12 cm. Find the volume
9514 1404 393
Answer:
196π cm^3 ≈ 615.8 cm^3
Step-by-step explanation:
Put the numbers in the volume formula and do the arithmetic.
V = 1/3πr^2·h
V = 1/3π(7 cm)^2(12 cm) = 196π cm^3 ≈ 615.8 cm^3
Marshall has $4000 in his bank account. It yields 8% simple interest annually. How much money in interest will the account have gained in 5 years?
PLSSS HELP QUICKLY
Answer:
$1600
Step-by-step explanation:
Interest = Principal x Rate x Time
I = 4000 x .08 x 5
I = 1600
An Example of a caravan is
A. eight covered wagons travelings together on the trail
B. one covered wagon traveling by itself
C. a covered wagon passing a horse
D. a covered wagon traveling at top speed
An Example of a caravan is eight covered wagons traveling together on the trail. Meaning, option A is correct.
What is caravan?A caravan, travel trailer, camper, tourer, or camper trailer is a trailer towed behind a road vehicle to provide a more comfortable and secure sleeping space than a tent.
It allows people to have their own home on a trip or vacation without relying on a motel or hotel, and it allows them to stay in places where none are available. However, in some countries, campers are restricted to designated sites where fees must be paid.
Caravans range from basic models that are little more than a tent on wheels to those that have several rooms with all of the furniture, furnishings, and equipment of a home. The solid-wall trailers can be made of metal or fibreglass.
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(5x+3y) - (2x-7y) +8x
Answer:
11x + 10y
Step-by-step explanation:
if lx-2l=9 which of the following equal lx+3l?
A)4
B)7
C)8
D)10
E)11
Answer:
D.10
Step-by-step explanation:
its check promise
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A 36-foot flagpole casts a 10 3/4-foot shadow, while the hospital nearby casts 37 5/8-foot shadow. Find the height of the hospital
Answer:
meh dont know how to do this tbh
Step-by-step explanation:
Answer:
AHHHHHHHHH
Step-by-step explanation:
In a storeroom,there are 30 blue balls,48 green balls,some red balls and some white balls. there are 3 times as many green balls as red balls and 5 times as many blue balls as white balls.
(a) How many balls are there altogether?
(b) How many balls are left in the room if 7/10 (fraction) of the balls are taken away?
pls help me answer both
Answer:
7/30
Step-by-step explanation:
We first have 7 blue and 3 red out of 10, so P(1st ball is red) = 3/10
Now, we have pulled a red ball out of the bag, leaving us with 7 blue and 2 red out of 9 total balls.Then P(2nd ball is blue) = 7/9. Put this together, P(1st red AND 2nd blue) = 3/10⋅7/9 =7/30
Brandon is building a desk that is 42 inches long. A piece of wood that he bought is 4 feet long. How much does Brandon have to cut off that piece of wood to make it the same length as his desk?
A. 2 inches B. 6 inches C. 12 inches D. 2 feet
Answer:
6 inches
Step-by-step explanation:
there are 12 inches in a foot
4 ft * 12 = 48 inches
48 - 42 = 6
Cut off 6 inches
Which absolute value function, when graphed, will be
wider than the graph of the parent function, f(x) = |x|?
On solving the question, we can say that y using the given information we can prove that similar angle m ∠ABC = m ∠EDC.
What are similar angles?Polygons' corresponding sides and corresponding angles are compared as part of the geometric tests for congruence and similarity. With care taken to maintain the order of adjacency, each side and each angle in one polygon is paired with a side or angle in the other polygon in these tests.
Given:
m ∠1 = m ∠2
m ∠2 = m ∠4
We have to prove that m ∠ABC = m ∠EDC
∠EDC = ∠3 + ∠4
m ∠ABC = m ∠1 + m ∠2
m ∠EDC = m ∠3 + m ∠4
m ∠1 + m ∠2 = m ∠3 + m ∠4
m ∠ABC = m ∠EDC
Hence, by using the given information we can prove that
m ∠ABC = m ∠EDC.
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which of the following describes the data set 6,8,13,15,21,23,31 pls help
Answer:
B
Step-by-step explanation:
you can use the process of elimination. For all of the answers the minimum and the maximum are incorrect except for option B.
Help me out with this please!
No links to suspicious sites other than Brainly!
Answer: E and F.
E:
4 * 4 * 4 = 64, and 64 = 64.
F:
-1 * -1 * -1 = 1, and 1 = 1
Write 162 as a product of primes.
Use index notation when giving your answer.
F
∝
a
If
F
=
48
when
a
=
4
find,
a
when
F
=
60
Answer:
a=5
Step-by-step explanation:
wanza sold a bag of potatoes for sh.420 and made a profit.if she sold it at sh.320 ,she could have made a loss .Given that the profit is thrice the loss ,how much did she pay for the bag of potatoes
Answer:
sh.345
Step-by-step explanation:
The difference between the price selling with profit and price selling at a loss is 420-320 = 100
Profit is thrice the loss says we can take the difference in prices and divide it into 4 parts, x and 3x, representing the loss and thrice the loss, or profit margin.
x + 3x = 100
4x = 100
x = 25
loss would be 25,
profit would be 75
--------------------
sold at a profit: 420 -75 = sh.345
----------------
Does this exercise seem similar to what you're doing in class?
Jenny calculated the probabilities of pulling chops of different colors out of a bag.
Which color chip is MOST LIKELY to be pulled from the bag?
DON’T ANSWER IF YOU DO NOT KNOW THE ANSWER! Whoever answers correctly will get Brainliest! :)
Answer:
I'm really sorry if i am wrong but i think Gold chip is most likely to be pulled from the bag.
Step-by-step explanation:
Let's convert each fraction given to the decimal form:
(Purple) [tex]\frac{1}{5}[/tex] = 0.2
(Gold) [tex]\frac{6}{10}[/tex] = 0.6
(White) [tex]\frac{1}{10}[/tex] = 0.1
(Red) [tex]\frac{2}{20}[/tex] = 0.2
=> since Gold chips' value is the most, the answer would be Gold Chip.
Hope this helps!
Dan drank 7/8 of a bottle of water During basketball practice. He then drank Another 4/8 of a bottle after practice. How much water did he drink altogether that’s
Answer:
In total Dan dranked 11/8 of his bottle or as a mixed number 1 and 3/8 of his bottle.
Step-by-step explanation:
I need help with this answer all of them correctly please.
Answer:
1 / 9
Step-by-step explanation:
Total number of letters = 9 ; This is the total possible outcomes
Number of letter D = 1 ; this is the required outcome
Recall:
Probability = required outcome / Total possible outcomes
P( choosing D) = 1 / 9
Use the drop-down boxes to show a function in the form y = mx + b for the line that contains the points (–6.4, –2.6) and (5.2, 9).
The equation in the slope-intercept form is y = x + 3.8
What is a slope?
In mathematics, a line's slope, also known as its gradient, is a numerical representation of the line's steepness and direction.
Given:
A line that contains the points (–6.4, –2.6) and (5.2, 9).
If a line passes through two points (x₁ ,y₁) and (x₂, y₂) ,
then the equation of line is
y - y₁ = (y₂- y₁) / (x₂ - x₁) x (x - x₁)
So, the equation,
y + 2.6 = {(9 + 2.6)/(5.2 + 6.4)} (x + 6.4)
y + 2.6 = x + 6.4
y = x + 6.4 - 2.6
y = x + 3.8
Therefore, the equation y = x + 3.8 is in the slope-intercept form.
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Are the two expressions equivalent when x = 5? 24x + 18 and 6 (4x + 2)
Answer:
Nope-
Step-by-step explanation:
24x + 18 = 138
6 (4x + 2) = 132
I’ll mark brainlist
No links
Answer:
3/8 = 9/24
7/6 = 28/24
Step-by-step explanation:
please help I don't get it NO LINKS or I'll report pls don't answer the question if u don't know
Answer:
1 person got 68 inches
4 persons got 69 inches
2 persons got 70 inches
3 persons got 74 inches
1 person got 76 inches
أحتاج إلى مساعدة كيف تقدم كوزي Tell me what this say for free branleist no transition script
Answer:
you need help to progress cozy im guessing?
Step-by-step explanation:
Answer: Hope This Helps! :D
Step-by-step explanation:
I need help how to progress cozy