Answer:
27.02% of boys aged 16 to 17 will not be able find shoes that fit in this store
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 zscore 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 pvalue, we get the probability that the value of the measure is greater than X.
Mean of 25.5 centimeters and a standard deviation of 1.4 centimeters.
This means that [tex]\mu = 25.5, \sigma = 1.4[/tex]
These shoes will fit men with feet that are 24.6 to 28.8 centimeters long. What percentage of boys aged 16 to 17 will not be able find shoes that fit in this store?
Less than 24.6:
The proportion is the pvalue of Z when X = 24.6. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{24.6 - 25.5}{1.4}[/tex]
[tex]Z = -0.64[/tex]
[tex]Z = -0.64[/tex] has a pvalue of 0.2611
More than 28.8:
The proportion is 1 subtracted by the pvalue of Z when X = 28.8. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{28.8 - 25.5}{1.4}[/tex]
[tex]Z = 2.36[/tex]
[tex]Z = 2.36[/tex] has a pvalue of 0.9909
1 - 0.9909 = 0.0091
0.2611 + 0.0091 = 0.2702
0.2702*100% = 27.02%
27.02% of boys aged 16 to 17 will not be able find shoes that fit in this store
A square has side length (5x - 3) cm what is the area of the square
Answer:
Step-by-step explanation:
area = (5x-3)² = (25x² - 30x + 9) cm²
A textile fiber manufacturer is investigating a new drapery yarn, which the company claims has a mean thread elongation of 12 kilograms with a standard deviation of 0.5 kilograms. The company wishes to test the hypothesis against using a random sample of specimens. Calculate the P-value if the observed statistic is . Suppose that the distribution of the sample mean is approximately normal.
Complete question :
A textile fiber manufacturer is investigating a new drapery yarn, which the company claims has a mean thread elongation of 12 kilograms with a standard deviation of 0.5 kilograms. The company wishes to test the hypothesis H0 : μ = 12 against H1 : μ < 12 using a random sample of n = 4 specimens. Calculate the P-value if the observed statistic is xbar = 11.5. Suppose that the distribution of the sample mean is approximately normal.
Answer:
0.02275
Step-by-step explanation:
Given :
Population mean μ = 12
Standard deviation, σ = 0.5
Sample size, n = 4
Observed statistic, xbar = 11.5
H0 : μ = 12
H1 : μ < 12
The test statistic = (xbar - μ) ÷ σ/sqrt(n)
Test statistic =. (11.5 - 12) ÷ 0.5/sqrt(4)
Test statistic = - 0.5 ÷ 0.5/2
Teat statistic = - 0.5 / 0.25 = - 2
Since, it is stated that, distribution is approximately normal ; then we can use the Z distribution and obtain our Pvalue.
We could obtain P value using the Pvalue Z distribution calculator at α = 0.05, 1 - tail
Pvalue = 0.02275
Or
P(x < - 2) = 0.02275 (Z distribution table)
Write the following in descending order.
I. 0.1 II. 0.009 III. 0.09 IV. 1
A. I, III, II, IV
B. III, I, IV, II
C. II,IV, I, III
D. IV, I , III, II
Answer:
IV, I, III and II
Step-by-step explanation:
Given
I. 0.1 II. 0.009 III. 0.09 IV. 1
Required
Write in descending order
In descending order means, from greatest to least.
From the given list of numbers,
The greatest is 1 (IV)
Followed by 0.1 (I)
Followed by 0.09 (III)
Then, the least is 0.009 (II)
So, the order is: IV, I, III and II
What’s the answer it says chose all
Answer:
B and C are correct
Step-by-step explanation:
Answer:
Step-by-step explanation:
x = 40
x = 120
The < sign means less than.
38 is less than 25, but it is less than 40 and 120.
Hope that helps!
-Sabrina
From the figure, your friend concludes that m<BAD > m<BCD. How would you correct your friend's mistake?
Answer:
BC > AD
Step-by-step explanation:
The opposite side to BC is greater, therefore making m<BCD > m<BAD. Since the legs are congruent, this is the only difference that need-be mentioned.
As the opposite angle of a larger side of a triangle is larger hence
m∠BAD > ∠mBCD.
What is congruency?We know two similar planer figures are congruent when we have sides or angles or both that are the same as the corresponding sides or angles or both.
From the figure itself, ΔABD and ΔBCD share a common side BD.
Given, Side AB is congruent to side CD and Side AD is greater than side BC.
We know opposite angle of a larger side of the triangle is larger.
Therefore, m∠BAD > ∠mBCD.
learn more about congruency here :
https://brainly.com/question/7888063
#SOJ2
Quick please! I need it
Answer: A = 1/2 b x h
Step-by-step explanation:
Tapiwa raked 5% more leaves than Adam raked. Tapiwa raked 357 liters of leaves.
How many liters of leaves did Adam rake?
Answer:
340 liters
Step-by-step explanation:
This means that Tapiwah raked x plus 5% of x leaves. Knowing that Tapiwah actually raked 357 liters, we can find the value of x as follows. So, Adam raked 340 liters of leaves.
Which data point is an outlier in this graph?
(A) (5,-3)
B) (3,5)
© (-5,3)
D (3,-5)
Answer:
idel
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
5, -3 is not near the other dots making it an outlier
help solve for x. round to the nearest tenth
Answer:
60.1
Step-by-step explanation:
Use cosine for this one- you get cos37 = adjacent/hypotenuse, or cos37 = 48/x
Solve for x and x = 48/cos37, or 60.1
Hopefully this helps! Let me know if you have any questions
Answer:
Pretty sure it's 60.1
What is the product of (x−4) and (x2−7x+10)?
x2−6x+6
x2−8x+14
x3−11x2+38x−40
x3−3x2−18x−40
10 points || answer ASAP if you can
Answer:
It would affect the mean, range, and standard deviation
Step-by-step explanation:
I got this right on the test :)
Although television HDTV converters are tested before they are placed in the installer's truck, the installer knows that 20 percent of them still won't work properly. The driver must install eight converters today in an apartment building.
(a) Ten converters are placed in the truck. What is the probability that the driver will have enough working converters?
Answer:
80%
Step-by-step explanation:
1.
Calculate the following:
(4 + 2) + ( x 1
2. Simplify the following
a. 37423-4
b. 9-2
First answer is 6+x
2. A.37419
B. 7
Please please help me it really late we’re I am so and I Need to bring my grade up please
Answer
here :)
Step-by-step explanation:
for 1) the answers are...
x y
-6 -10
3 -1
-7 -11
0 -4
-3 -7
for number 2 the answers are...
x y
6 -2
1 -7
-8 -16
-7 -15
2 -6
for number 5 the answers are...
x y
1 -6
2 -5
-6 -13
6 -1
-9 -16
for number 6 the answers are...
x y
8 64
7 56
6 48
9 72
-8 -64
for number 9 the answers are...
x y
2 -3
-9 -14
8 3
-5 -10
9 4
for number 10 the answers are...
x y
5 -15
-9 27
7 -21
0 0
-3 9
What are the solutions of 12 - x² = 0
Answer:
2sqrt(3),-2sqrt(3)
Step-by-step explanation:
12-x^2=0
-x^2=-12
x^2=12
x=-sqrt(12),sqrt(12)
x=2sqrt(3),-2sqrt(3)
A cube. The top face has points G, B, C, F and the bottom face has points H, A, D, E.
Which line segment is not a diagonal through the interior of the cube shown?
Side B E
Side C H
Side C E
Side D G
Answer:
its side CE
Step-by-step explanation:
I got it wrong and it showed me the answer. Hope this helps!
Answer:
C
Step-by-step explanation:
got it right
divide the monomial by the given monomial. (by give process)
24x^3 ÷ 14x^2
Step-by-step explanation:
24x³ ÷ 14x²
= 2 × 2 × 2 × 3 × x × x × x / 7 × 2 × x × x
= (2 × x × x) ( 2 × 2 × 3 × x) / (2 × x × x) x 7
= 12x / 7
Use a calculator to solve the equation.
−9.5x + 0.81 = −2.99
The solution is x =
Answer:
x = 0.4
Step-by-step explanation:
Answer:
x=0.4
Step-by-step explanation:
Given function:
-9.5x+0.81=-2.99find xCombine first value by 0.81:
-9.5+0.81=-2.99-19x/2+0.81=-2.99Subtract 0.81 both from sides:
-19x/2+0.81-0.81=-2.99-0.81Simplifly -19x/2:
-19x/2=-3.8Multiply all terms by similar term:
2·19x/2=2·3.8Divide both terms by -7.6:
-19x/-19-7.6/19=0.4Therefore, x=0.4.
In circle B with the measure of minor arc AC= 84°, find m
Answer:
m<ADC = 42°
Step-by-step explanation:
Based on the inscribed angle theorem, the inscribed angle, m<ADC is ½ the measure of minor arc AC.
If minor arc is given as 84°, therefore:
m<ADC = ½(84)
m<ADC = 42°
if 2 angles of a triangle have measures of 58 and 101 degrees what is the measure of the 3rd
Answer:
21 degrees
Step-by-step explanation:
the sum of the three angles in a triangle equal 180. take the known angles (58 and 101) and subtract them from 180. 180-129=21
If 12 men or 15 women can finish a piece of work in 66 days, how long will 24 men and 3 women take to finish the work? Pls helppp thank you :)
Answer:
30 days
Step-by-step explanation:
solve for the value of p
Answer:
43°
Step-by-step explanation:
p + 7° + 3p+ 1° = 180° ( Being linear pair)
4p + 8° = 180°
4p = 180° - 8 °
4p = 172°
p = 172° / 4
p = 43°
Hope it will help :)❤
PLEAAASSSSEEEEE HELP ME WITH THIS I REALLY NEED HELP PLEASE PUT THE CORRECT ANSWER
Diego has 200 students in his grade which is 2 times as many as Lin. Lin’s grade has x students. Write this equation.
ILL GIVE BRAINLEIST FAST PLZ 15 POINTS
Answer:
200 ÷ 2 = x
Step-by-step explanation:
Diego has 2 times as many a Lin. That means to find Lin's student number, we would have to split 200 in half.
Hope this helps!
4 and b = 5.
Evaluate the given expression when a
2a + 6b
HELP
Based on 2017 sales, the six top-selling compact cars are the Honda Civic, Toyota Corolla, Nissan Sentra, Hyundai Elantra, Chevrolet Cruze, and Ford Focus (New York Daily News). The 2017 market shares are Honda Civic 20%, Toyota Corolla 17%, Nissan Sentra 12%, Hyundai Elantra 10%, Chevrolet Cruze 10%, and Ford Focus 8%, with other small car models comprising the remaining 23%. A sample of 400 compact car sales in Chicago showed the following number of vehicles sold.
Honda Civic 98
Toyota Corolla 72
Nissan Sentra 54
Hyundai Elantra 44
Chevrolet Cruze 42
Ford Focus 25
Others 65
Use a goodness of fit test to determine whether the sample data indicate that the market shares for cars in Chicago are different than the market shares suggested by nationwide 2017 sales. Using a 0.05 level of significance, what is the p-value?
The p-value is ___________.
What is your conclusion?
Conclude that the markets shares for the five compact cars in Chicago ______________the market shares reported.
What market share differences, if any, exist in Chicago? Round your answers to three decimal places. Enter negative values as negative numbers.
Sample
Compact Car Market Share Hypothesized Market Share Difference
Honda Civic - 0.20 =
Toyota Corolla - 0.17 =
Nissan Sentra - 0.12 =
Hyundai Elantra - 0.10 =
Chevrolet Cruze - 0.10 =
Ford Focus - 0.08 =
Others - 0.23 =
Answer:
Pvalue = 0.020335
X² = 14.99
CONCLUSION: THERE IS DIFFERENCE IN MARKET SHARES
Step-by-step explanation:
H0 : there is no difference in market shares
H1: there is difference in market shares
Chisquare (X²) = (observed - Expected)²/ expected
Honda Civic - 0.20 * 400 = 80 : (98-80)^2 /80 = 4.05
Toyota Corolla - 0.17 * 400 = 68 : (72-68)²/68 = 0.235
Nissan Sentra - 0.12 * 400 = 48 : (54-48)²/48 = 0.75
Hyundai Elantra - 0.10 *400 = 40 : (44-40)²/40 = 0.4
Chevrolet Cruze - 0.10 * 400 = 40 : (42-40)²/40 = 0.1
Ford Focus - 0.08 * 400 = 32 : (25-32)²/32 = 1.531
Others - 0.23 * 400 = 92 : (65-92)²/92 = 7.924
X² = (4.05+0.235+0.75+0.4+0.1+1.531+7.924) = 14.99
The obtain the Pvalue ;
We use the Pvalue from Chisquare calculator :
Pvalue(14.99, 0.05, df= 6) = 0.020335
Decision region :
Reject H0 ; if Pvalue < α
THERE IS DIFFERENCE IN MARKET SHARES
Market share differences:
* 98/400 = 0.245,
0.245-0.20 = 0.045
* 72/400 = 0.18,
0.18 - 0.17 = 0.01
* 54/400 = 0.135,
0.135 - 0.12 = 0.015
* 44/400 = 0.11,
0.11 - 0.10 = 0.01
* 42/400 = 0.105
0.105 - 0.10 = 0.005
* 25/400 = 0.0625
0.0625-0.08 = -0.0175
* 65/400 = 0.1625
0.1625 - 0.23 = -0.0675
What is the range of the relation below?
{(-4,1), (-2,0), (8, -1)}
Answer:
Range: {-1, 0, 1}
General Formulas and Concepts:
Math
Number LineAlgebra I
Range is the set of y-values that are outputted by function f(x){Set Builder Notation}Step-by-step explanation:
Step 1: Define
[Relation] {(-4, 1), (-2, 0), (8, -1)}
Step 2: Identify
According to the relation, our y-values are 1, 0, and -1. These values would encompass our range.
2 4/10?
round to nearest whole number
Answer: 2
2.5 and up we round up
2.4 and lower we round down
Answer:
2
Step-by-step explanation:
2 4/10
4/10 is less than 0.5 so we round down to 2
If a right circular cone is intersected by a plane only at its vertex, as in the picture below, what shape is produced?
Answer:
A right circular cone can be intersected by some plane to produce circle, ellipse, hyperbola depending upon where the plane is crossing the cone.
But if the plane crosses at the vertex. Just one point is crossed.
Answer:
a point hope this helps
Rewrite the expression by factoring out (y-2).
3y?(y-2)-2(y-2)
Answer:
− y =3 y
Step-by-step explanation:
Simplify
2
−
(
y
+
2
)
.
Tap for more steps...
−
y
=
3
y
Move all terms containing
y
to the left side of the equation.
Tap for more steps...
−
4
y
=
0
Divide each term by
−
4
and simplify.
Tap for more steps...
y
=
0