Answer:
0.3557 = 35.57% probability that one selected subcomponent is longer than 118 cm.
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.
Normally distributed with a mean of 116 cm and a standard deviation of 5.4 cm.
This means that [tex]\mu = 116, \sigma = 5.4[/tex]
Find the probability that one selected subcomponent is longer than 118 cm.
This is 1 subtracted by the pvalue of Z when X = 118. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{118 - 116}{5.4}[/tex]
[tex]Z = 0.37[/tex]
[tex]Z = 0.37[/tex] has a pvalue of 0.6443
1 - 0.6443 = 0.3557
0.3557 = 35.57% probability that one selected subcomponent is longer than 118 cm.
Simplify. Consider all cases: /(x-4)+7/
Answer:
the correct answer is x+3
Find the X and Y
Help ASAP please!!!
A car presently valued at 12 000 depreciates at 10 % per annum .What will be the value of the car one Year later ?
Answer:
10'800
Step-by-step explanation:
Car initial price= 12000
Depreciation= 10% or 0.10 per year
Car final price= Initial price-(Initial price/depreciation)
Car final price= 12'000-(1'200)
Car final price= 10'800
If I paid $2.50 in taxes on a $45 item, what percentage rate of taxes did I pay?
Answer:
47.05
Step-by-step explanation:
12345678910^#3:##;$$;$%#;#<÷&÷#7#;;^#
Sofia has 25 coins in nickels and dimes in her pocket for a total of $1.65. How many of each type of coin does she have?
Answer:
17 nickels
8 dimes
Step-by-step explanation:
n + d = 25
.05n + .10d = 1.65
use substitution: n = 25-d
.05(25-d) + .10d = 1.65
1.25 - .05d + .10d = 1.65
.05d = .40
d = 8 ∴ n = 17
find the value of x in the Triangle shown below
x=?
Answer:
Step-by-step explanation:
We know there are 180° in EVERY triangle. Given one angle is 58°
This triangle shown has two sides that are the same, both are 6. The value of those two sides is irrelavent, except for the fact that this is an Isosceles triangle and the angle opposite those two sides are equal.
x + x + 58 = 180
2x + 58 = 180
2x = 180 -58
2x = 122
x = 61
A state university annual report showed that its retention rate was at 24% and university administrators would like to increase this rate. After implementing several new programs during the last two years, the university reevaluated its retention rate. What is the correct alternative hypotheses for a test to determine whether the retention rate has increased during the last two years
Answer:
the alternative hypothesis is - p > 0.24
Step-by-step explanation:
Given that the retention rate is 24% = 0.24
So,
The alternative hypothesis is -
p > 0.24
Because the retention rate has increased during the last two years.
Which is the graph of y= 2 8x - 3?
Graph B.
Graph C
Graph A
Please help!
Answer:
Graph C
Step-by-step explanation:
We can tell because the equation states that the y intercept is -3 and has a steep slope
Comet ate 4 kilograms of willow leaves.How many grams of willow leaves did comet eat?
Answer:
4000 grams.
Step-by-step explanation:
Answer:
4000 grams
Step-by-step explanation:
1 Kilogram = 1000 grams
So, 4 Kilograms = 4000 grams
Please Help me i'm not good with math
This shape has all identical faces and a surface area of 240 square meters. What is the area of each face?
A 120
B 80
C 60
D 30
Answer: C 60
Step-by-step explanation:
240 is the square meter, and if each face is the same, u divide 240 by 4 which equals 60
Use the diagram to complete the statement!
Due in 10 min! Please help!
Will give brainliest!
Answer:
m>NQR=30°
m<LNS=61°
RQ=7
Step-by-step explanation:
m>NQR=180-89-61=30°
m<LNS=61°
RQ= 8/4=x/3.5 = 7
different solution of salt are made up what valumo of
Answer:
Salt is sodium.
Answer:
Salt is Sodium.
Step-by-step explanation:
When you break down the compounds of salt you find molecules of sodium thus saying that salt is made up of sodium molecules.
find area,of the triangle
digits only. I counted the lines, 7 and 12 ÷2. and it was wrong
Answer:
33 units²
Step-by-step explanation:
1/2(11 x 6) = 33 units²
=[tex]\frac{mv^{2} }{2}[/tex] ; Solve for v.
Answer:
[tex]v=\sqrt{\frac{2E}{m} }[/tex]
Step-by-step explanation:
[tex]E=\frac{mv^2}{2}[/tex]
[tex]2E=mv^2}[/tex]
[tex]v^2=\frac{2E}{m}[/tex]
[tex]v=\sqrt{\frac{2E}{m} }[/tex]
PLEASE HELP ASAP?!!!!!!
Answer:
It is 15!
Step-by-step explanation:
Therefore the answer is x=15 :)
10 POINTS!!!!Which polynomial represents the sum below?
Answer:
B
Step-by-step explanation:
if you combine like terms, you'll get B
Find the value of X. geometry!! only answer if you know how please !
Answer:
x = 136
Step-by-step explanation:
This one is quite simple
The shape formed inside of the circle is a quadrilateral.
when a quadrilateral is formed inside of a circle opposite angles of the quadrilateral will add up to 180
we are given x's opposite angle so we can find x by subtracting the given angle's measure (44) from 180
so x = 180 - 44
180 - 44 = 136
hence, x = 136
Given ABC with B = 90 and sides AB=3 BC=4 and AC=5. What is side A
Solve for x using
cross multiplication.
3x - 3
2x – 2
=
5
4
x = [?]
Answer:
Step-by-step explanation:
Given
(3x - 3) / 5 = (2x - 2) / 4
Begin by cross multiplying
Solution
4(3x - 3) = 5(2x - 2) Use the distributive property to remove brackets12x - 12 = 10x - 10 Add 12 to both sides.12x = 10x - 10 + 12 Combine the right12x = 10x + 2 Subtract 10x from both sides12x-10x = 2 Combine the left2x = 2 Divide by 2x = 2/2x = 1Note: the original equation gives you 0/5 = 0/4 which is 0 = 0.
Find the area of the triangle
Answer:
The answer to this problem is 12.5.
Step-by-step explanation:
The formula for finding the area of a triangle is b * h * 1/2 or divide by 2 (base times height times one-half or two).
Since this is a equilateral triangle, all of the sides are equivalent to each other. Since we know one of the sides is 5, all of the sides are 5.
5 * 5 = 25
Then you need to multiply this answer by 1/2 or divide by 2, whichever is easier.
25 / 2 = 12.5
The answer is 12.5.
Also, it would be FANTABULOUSLY AMAZING if I could get brainliest!!!
Just sayin, that would be pretty great.
write 3^n/9^(n-1) as a power of 3
Make an organized list which shows all possible outcomes when four fair coins are flipped.
Each coin lands facing either heads up (H) or tails up (T).
What is the probability that at least three coins land facing tails up? Give the probability as a percent, rounded to the nearest whole number.
Answer:
0.31 (31%)
Step-by-step explanation:
answer steps attached
Mia, Eli, and Doug are
comparing the sizes of
their movie collections.
Ell has twice as many
movies as Mia. Doug has
14 more movies than
Mia. Write an expression
to represent the total
movies the friends have.
Answer:
4m + 14
Step-by-step explanation:
m = # movies Mia has
2m = # movies Eli has
14 + m = # movies Doug has
Total: m + 2m + 14 + m = 4m + 14
A storage trunk is shaped like a rectangular prism. The trunk's volume is 18 cubic feet. The length of the trunk is 6 feet, and the width of the trunk is 2 feet. What is the height of this trunk
Answer:
1.5
Step-by-step explanation:
The height is 1.5 because to find the volume of a rectangular prism, you do length x width x height. Without height, you multiply length x width (6x2) and divide that by the volume (18 divided by 12 = 1.5)
Ao se olhar para a história da Álgebra, desde os primórdios quando o objeto de estudo eram equações algébricas específicas até o estabelecimento de uma área de pesquisa que hoje é essencialmente abstrata (se levarmos em conta muitos dos problemas considerados atualmente pelos pesquisadores), perceberemos um longo caminho de busca de padrões e sedimentação teórica. Essa mesma história nos ensina como aconteceu o difícil estabelecimento dessa área de conhecimento. Houve a necessidade da construção de uma linguagem simbólica apropriada às questões tratadas aliada à consequente emersão de conceitos algébricos cada vez mais abstratos. Só assim a Álgebra se consolidou como área de conhecimento, área essa que é, portanto, fruto de um desenvolvimento histórico e não inata ao ser humano. Dito de outra forma, o conhecimento da Álgebra precisa do meio social para ser aprendido e assimilado pelo indivíduo. De acordo com a nossa estrutura social, esse ensino compete à escola ou, mais especificamente, à disciplina de Matemática. Calcule o produto dos monômios : (4 y²) . (4y)
com calculos pfvr
Answer:
44
Step-by-step explanation:
Trust
Solve for [?]. Assume that lines which appear tangent are tangent.
Answer:
Step-by-step explanation:
Since the problem stated that the 2 lines are tangent, you can then tell that the triangle is a right triangle.
By using the Pythagorean Theorem, the missing side, "x", is equal to [tex]\sqrt{8.4^2+11.2^2}[/tex], which equals 14
A company that manufactures electronic components wants to know the mean discharge time of one particular type of capacitor that it makes. In order to estimate this value, they randomly select 100 capacitors and measure how long they take to discharge. The mean of this sample was 7.25 seconds with a standard deviation of 0.15 seconds. Assuming that this distribution is normal, construct a 99% confidence interval to estimate the mean discharge time for all capacitors of this type. Is this question asking for a confidence interval or hypothesis test
Answer:
99% confidence interval to estimate the mean discharge time for all capacitors of this type
(7.2146, 7.2854)
Step-by-step explanation:
Step(i):-
Given that the sample size 'n' = 100
Given that the mean of sample x⁻ = 7.25 seconds
Given that the standard deviation of the sample (S) = 0.15 seconds
Level of significance = 0.01
Degrees of freedom = n-1 =100-1 =99
t₀.₀₁ , ₉₉ = 2.3646
We have to find that the 99% of the confidence interval of the mean
Step(ii):-
99% confidence interval to estimate the mean discharge time for all capacitors
[tex](x^{-} - t_{0.01 , 99} \frac{S}{\sqrt{n} } , x^{-} + t_{0.01 , 99} \frac{S}{\sqrt{n} } )[/tex]
[tex](7.25 - 2.3646 \frac{0.15}{\sqrt{100} } , 7.25 + 2.3646 \frac{0.15}{\sqrt{100} } )[/tex]
(7.25 - 0.0354 , 7.25 + 0.0354)
(7.2146, 7.2854)
Final answer:-
99% confidence interval to estimate the mean discharge time for all capacitors of this type
(7.2146, 7.2854)
Maria wants to spend less than $110. She wants to buy some shirts, s.
that are priced at $9 each. She also decided to buy a pair of high heels for
$60. WRITE THE INEQUALITY that represents the word problem to
determine the number of shirts she can buy.
she can buy 5 shirts
Please help, test due in 1 hour! I will give good review and brainliest. :)
Answer:
Step-by-step explanation:
this is about the volume of each size of candle. so the area of the circle , times the height of the candle is the amount of wax needed or it's volume.
area of a circle is = [tex]\pi[/tex][tex]r^{2}[/tex]
then the big candle is [tex]\pi[/tex][tex]2^{2}[/tex] = 12.56637
times 10 for it's height = 125.6637
so that's the big candles volume
then make 20 of those = 2513.27
a small candle is [tex]\pi[/tex][tex]1.5^{2}[/tex] = 7.068583471
and it's 6 cm tall so times 6 = 42.41150082
Now divide the small candle volume into the 20 big ones to see how many small ones can be made
2513.27 / 42.41150082 = 59.259
so just a bit over 59 small candles can be made from 20 big candles