Answer:
0.1357 = 13.57% of bolts will have a diameter greater than 1.211 inches
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.
Mean of 1.20 inches and a standard deviation of 0.01 inches.
This means that [tex]\mu = 1.20, \sigma = 0.01[/tex]
What proportion of bolts will have a diameter greater than 1.211 inches?
This is 1 subtracted by the p-value of Z when X = 1.211. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{1.211 - 1.20}{0.01}[/tex]
[tex]Z = 1.1[/tex]
[tex]Z = 1.1[/tex] has a p-value of 0.8643.
1 - 0.8643 = 0.1357
0.1357 = 13.57% of bolts will have a diameter greater than 1.211 inches
Consider the sequence 3/4,4/5,5/6,6/7,... Which statement describes the sequence? The sequence diverges. The sequence converges to 1. The sequence converges to [infinity]. The sequence converges to –[infinity].
Answer:
The sequence converges to 1.
Step-by-step explanation:
[tex]\frac{3}{4}, \frac{4}{5}, \frac{5}{6}, \frac{6}{7}\\\\The \ general \ term = \frac{n -1}{n}\\\\ \lim_{n \to \infty} (\frac{n -1}{n}) = \lim_{n \to \infty} \frac{n(1 -\frac{1}{n})}{n} = \lim_{n \to \infty} 1 - \frac{1}{n} = 1 - \lim_{n \to \infty} \frac{1}{n} = 1[/tex]
[tex][ \lim_{n \to \infty} \frac{1}{n} = 0][/tex]
Perform the operation. Enter your answer in scientific notation. 7 × 102 − 5.6 × 102 =
On average, there are 177,000 cars on the road every hour in Los Angeles. 1 point
In March 2020, the coronavirus shutdown, resulted in Los Angeles having
80% fewer cars on the road. How many cars were on the road in March
2020 every hour in Los Angeles, after the 80% reduction?
Answer:
Number of cars on road in 2020 = 35,400 car
Step-by-step explanation:
Given;
Number of cars on road = 177,000
Decrease in cars on road in 2020 = 80%
Find:
Number of cars on road in 2020
Computation:
Number of cars on road in 2020 = Number of cars on road[1 - Decrease in cars on road in 2020]
Number of cars on road in 2020 = 177,000[1-80%]
Number of cars on road in 2020 = 177,000[1-0.80]
Number of cars on road in 2020 = 177,000[0.20]
Number of cars on road in 2020 = 35,400 car
Marci performed a division. 175 was the dividend, 5 was the divisor, and 35 was the quotient. Which is a correct representation of this problem
Answer:
175/5 = 35
Step-by-step explanation:
dividend/divisor = quotient
175/5 = 35
The following dot plots describe the test scores on Mr. Santos’s final exam.
The second-period class is represented on a number line where the numbers fifty-five to ninety-five are plotted at intervals of five. There is one bullet each plotted above fifty-five, seventy, and ninety-five. Six bullets each are plotted above seventy-five and eighty. Two bullets are plotted above eighty-five and three bullets are plotted above ninety.
The sixth-period class is represented on a number line where the numbers fifty-five to ninety-five are plotted at intervals of five. There is one bullet plotted above sixty-five and two bullets above ninety-five. Three bullets each are plotted above seventy-five and ninety, five bullets above eighty, and six bullets are plotted above eighty-five.
Form a valid inference based on the means of the data sets. Use the drop-down menu to show your answer.
On average, students in the sixth-period class scored
Choose... (Higher, Lower)
as compared to students in the second-period class.
Answer:
It is higher I have no time to explain. Hope it's right!
Determine whether each expression below is always, sometimes, or never equivalent to sin x when 0° < x < 90° ? Can someone help me :(
Answer:
[tex](a)\ \cos(180 - x)[/tex] --- Never true
[tex](b)\ \cos(90 -x)[/tex] --- Always true
[tex](c)\ \cos(x)[/tex] ---- Sometimes true
[tex](d)\ \cos(2x)[/tex] ---- Sometimes true
Step-by-step explanation:
Given
[tex]\sin(x )[/tex]
Required
Determine if the following expression is always, sometimes of never true
[tex](a)\ \cos(180 - x)[/tex]
Expand using cosine rule
[tex]\cos(180 - x) = \cos(180)\cos(x) + \sin(180)\sin(x)[/tex]
[tex]\cos(180) = -1\ \ \sin(180) =0[/tex]
So, we have:
[tex]\cos(180 - x) = -1*\cos(x) + 0*\sin(x)[/tex]
[tex]\cos(180 - x) = -\cos(x) + 0[/tex]
[tex]\cos(180 - x) = -\cos(x)[/tex]
[tex]-\cos(x) \ne \sin(x)[/tex]
Hence: (a) is never true
[tex](b)\ \cos(90 -x)[/tex]
Expand using cosine rule
[tex]\cos(90 -x) = \cos(90)\cos(x) + \sin(90)\sin(x)[/tex]
[tex]\cos(90) = 0\ \ \sin(90) =1[/tex]
So, we have:
[tex]\cos(90 -x) = 0*\cos(x) + 1*\sin(x)[/tex]
[tex]\cos(90 -x) = 0+ \sin(x)[/tex]
[tex]\cos(90 -x) = \sin(x)[/tex]
Hence: (b) is always true
[tex](c)\ \cos(x)[/tex]
If
[tex]\sin(x) = \cos(x)[/tex]
Then:
[tex]x + x = 90[/tex]
[tex]2x = 90[/tex]
Divide both sides by 2
[tex]x = 45[/tex]
(c) is only true for [tex]x = 45[/tex]
Hence: (c) is sometimes true
[tex](d)\ \cos(2x)[/tex]
If
[tex]\sin(x) = \cos(2x)[/tex]
Then:
[tex]x + 2x = 90[/tex]
[tex]3x = 90[/tex]
Divide both sides by 2
[tex]x = 30[/tex]
(d) is only true for [tex]x = 30[/tex]
Hence: (d) is sometimes true
1. Adam opened a savings account with
$250. He saves $300 per month.
Mandy opened a savings account
with $750. She saves $200 per
month. How much more will Adam
have in his savings account after 12
months?
Answer:
$700
Step-by-step explanation:
Adam = 250 +300(12)=3850
Mandy = 750+200(12)=3150
3850-3150=700
Circumference and Area of Circles
Answer:
Step-by-step explanation:
Circumference for a circle equation is: [tex]2\pi r[/tex]
1. 31.4 in
2. 88 mm
3. 69.1 yd
4. 578.5 m
Area for circle equation is: [tex]\pi r^{2}[/tex]
5. 490.9 m^2
6. 227 ft^2
7. 35.8 mi^2
8. 86.6 cm^2
9. Area: 50.3 cm^2, circumference: 25.1 cm
10. Area: 69.4 in^2, circumference: 29.5 in
11. Area: 2.5 ft^2, circumference: 5.7 ft
12. Area: 36.3 km^2, circumference: 21.4 km
13. Area: 154 yd^2, circumference: 44 yd
Bananas are on sale for $0.39 per pound. Mr Schurter bought 3 x 3 /4 pounds of bananas. Which is closest to the amount he paid for the bananas?
The amount paid for the bananas is $0.8775.
What is Proportion?Proportions are defined as the concept where two or more ratios are set to be equal to each other.
Suppose we have two ratio p : q and r : s.
If both these ratios are proportional, then we can write it as p: q : : r : s.
This is same as p : q = r : s or p/q = r/s
Bananas are on sale for $0.39 per pound. Mr. Schurter bought 3 x 3 /4 pounds of bananas.
Cost of 1 pound of banana = $0.39
Let x be the cost of 3 × 3/4 pounds of banana.
3 × 3/4 pounds = 9/4 pounds
By proportional concept,
1 : 0.39 = 9/4 : x
1 / 0.39 = 9/4 / x
Cross multiplying, we get,
1 × x = (9/4) × 0.39
x = 3.51 / 4
x = 0.8775
Hence the cost of 3 × 3/4 pounds of banana is $0.8775.
To learn more about Proportions, click :
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1. You currently have $4,500 saved in your bank account. You have decided to use $2700.
What percentage of your savings did you use? Show all your work to justify your answer.
Answer:
60%
Step-by-step explanation:
1. 4500/100=45
2. 2700/45=60
The reason why is because 45 is 1%, so the way to find the percent is to divide 2700 by 45
The original cost of a laptop computer was x dollars. The expression 0.36 represents the value of the laptop today. Choose two expressions that also represent the value of the laptop today.
Answer:
0.36x, [tex]\frac{9}{25}[/tex]x
Step-by-step explanation:
36/100 = 9/25
1) Which triangle is both scalene and acute?
70°
510
10 ft
6.8 ft
10 ft
9 Ft
40°
70°
58° 71°
8.3 ft
10 ft
10 ft
102
90°
7 ft
10 ft
7 ft
31°
47°
35°
55°
13.3 Ft
12.2 ft
Done
Answer:
Step-by-step explanation:
Top right one. All angles are acute( < 90 degrees) and different .
In 5 minutes how many more words per minute can Clair type than graham if graham can type 260 words but Clair can type 275
Answer:
3 more words per minute
Step-by-step explanation:
So Graham types 260 words / 5 minutes = 52 words per minute
And Clair types 275 words / 5 minutes = 55 words per minute
Thus Clair ypes 55-52 = 3 more words per minute
The area of the semi circle is 8
Answer:
Consider a circle of radius 8 centimetres. Recall that the centre angle in a circle is always 360˚ . However, a semi-circle is a circle cut in half.
Step-by-step explanation:
So, the formula for the area of a semicircle is A = pi * r^2/2. Let's use that formula to calculate the area of a semicircle with a radius of 8 inches. We'll use 3.14 as an approximation of pi. So, now we plug the values into the equation.
Help pls help pls help pls
Answer: 3900[tex]\pi[/tex] ft^3
if you use the formula on how to find the volume of a cone
V=[tex]\pi[/tex]r^2*h/3
you will insert 30 where the r is, 13 in where h is, after you just solve that and your answer would be 3900[tex]\pi[/tex] ft^3
Covert 4.12 in a faction
Answer:
it would be 103/25
Step-by-step explanation:
Answer: 103/25
Step-by-step explanation:
What is the vertex of the graph of f (x) = 2x2 – 4x ?
Answer:
Step-by-step explanation:
vertex at (x,y)=(1,−1)
axis of symmetry: x=1
mark brailiest
10 POINTS PLEASE HELP) Select the correct graph for the function ƒ(x) = 3x + 4.
LOOK AT PICS FOR OPTIONS
Answer:
C
Step-by-step explanation:
4 is the y-intercept and 3 is the slope making the answer C.
As per the data the graph (A) represents the graph of the function f(x) = 3x+4 option (C) is correct.
What is a function?It is defined as a special type of relationship and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.
We have a graph of the function:
f(x) = 3x + 4
Let's plug x = 0
f(0) = 4
Let's plug x = 1
f(1) = 7
Let's plug x = -1
f(-1) = 1
Thus, as per the data above the graph (C) represents the graph of the function f(x) = 3x+4 option (C) is correct.
Learn more about the function here:
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Calculate the distance between the points F=(-5,9) and J =(-1, 4) in the coordinate plane.
Give an exact answer (not a decimal approximation).
Answer:
√41
Step-by-step explanation:
The distance formula is expressed as;
D = √(y2-y1)²+(x2-x1)²
D = √(4-9)²+(-1+5)²
D = √(-5)²+4²
D = √25+16
D = √41
Hence the required distance between F and J is √41
What’s the answer and How do you do these
Determine the area of the figure shown. Note that each square unit is one unite in length
Answer:
74 units squared
Step-by-step explanation:
we know that the area of a square or rectangle is A = L × w
so we should just separate the object into it's individual rectangles/squares, solve for their areas, then add them together.
so I'll start with the middle square its length is 8 and width is 8 too.
A = 8 × 8
A = 64
now we'll move on to the other small ones to the side.
the one on the right side it's length is 2 and width is 2.
A = 2 × 2
A = 4
and then the last one on the left, Length is 3, width is 2.
A = 2 × 3
A = 6
now we'll add up all of the areas to get the total area.
Total = 64 + 4 + 6
Total = 74 units squared
a number n is greater than 22
Help please worth 57 points
Answer:
Always, always.
which pair of expressions are equivalent?
A. j + j + j + j and j4
B. 16g + 10 - 4g and 20g + 10
C. 16c + 24c and (4c + 6c)
D. 14e^2 + 3e + 8 and 17e^2 + 8
Answer:
A.
[tex]j + j + j + j \: and \: j4[/tex]
the image will help u-u ssssss
Answer:
The first option:
7,10,8,11
Step-by-step explanation:
It's going in a pattern by counting numerically every other number. It's does this starting from 6 and starting from 4. I'm not sure how to explain this well but I hope you get it.
Segment CB is a____
Answer:
Radius
Step-by-step explanation:
CB = AB/2
Since AB is the diameter, CB is a radius
Assume the random variable x has a binomial distribution with the given probability of obtaining a success. Find the following. Probabilitygiven the number of trials and the probability of obtaining a success. Round your answer to four decimal places. P(x>10), n=14, p= .8
Answer:
P(x > 10) = 0.6981.
Step-by-step explanation:
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
And p is the probability of X happening.
In this question:
[tex]n = 14, p = 0.8[/tex]
P(x>10)
[tex]P(x > 10) = P(X = 11) + P(X = 12) + P(X = 13) + P(X = 14)[/tex]
In which
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 11) = C_{14,11}.(0.8)^{11}.(0.2)^{3} = 0.2501[/tex]
[tex]P(X = 12) = C_{14,12}.(0.8)^{12}.(0.2)^{2} = 0.2501[/tex]
[tex]P(X = 13) = C_{14,13}.(0.8)^{13}.(0.2)^{1} = 0.1539[/tex]
[tex]P(X = 14) = C_{14,14}.(0.8)^{14}.(0.2)^{0} = 0.0440[/tex]
[tex]P(x > 10) = P(X = 11) + P(X = 12) + P(X = 13) + P(X = 14) = 0.2501 + 0.2501 + 0.1539 + 0.0440 = 0.6981[/tex]
So P(x > 10) = 0.6981.
Solve the equation s - 12 = 20. ?
Answer:
s=32
Step-by-step explanation:
1. Move the constant to the right hand side and change it's sign so
s=20+12
2. Than calcuate s=20+12 which equals 32
so the solution is 32
What is perimeter of 300 315 55
Which equation is a linear function
Answer:
[tex]y=\frac{x}{2} -5[/tex]
Step-by-step explanation:
Linear functions are those whose graph is a straight line.
A linear function has the following form: [tex]y=f(x)=a+bx[/tex]
A linear function has one independent variable and one dependent variable.
The independent variable is x and the dependent variable is y.
The degree of a linear equation must be 0 or 1 for each of its variables.
1. The degree of the variable y is 1 which means it is not linear.
2. The degree of the variable y is 1 and the degree of variable x is 1 so it is linear.
3. The degree of the variable y is 1 and the degree of the variable x is 2 so it is not linear.
4. The degrees of the variable violates the linear equation definition so it is not linear.