Answer:
n = 2
Step-by-step explanation:
A number multiplied by 7 is less than 21. Which of the following expressions
correctly identifies this sentence? *
(N instead of X for variable)
N x 7 < 21
Help (Math) Which of the following objects are needed to construct Parallel Lines? Select ALL that apply
Considered the situation of case study on problem (2) with a larger sample of metal pieces. The diameters are as follows: 1.01, 0.97, 1.03, 1.04, 0.99, 0.98, 1.01, 1.03, 0.99, 1.00, 1.00, 0.99, 0.98, 1.01, 1.02, 0.99 centimeters. Once again the normality assumption may be made. Do the following and compare your results to those of the case study. Discuss how they are different and why.
a. Compute a 99% CI on the mean diameter
b. Compute a 99% PI on the next diameter to be measured.
c. Compute a 99% tolerance interval for coverage of the central 95% of the distribution of diameters.
Answer:
a
[tex] 0.9876 < \mu < 1.0174 [/tex]
b
[tex]0.941 < x_o < 1.064[/tex]
c
[tex]0.933 , 1.072[/tex]
Step-by-step explanation:
From the question we are told that
The data is
1.01, 0.97, 1.03, 1.04, 0.99, 0.98, 1.01, 1.03, 0.99, 1.00, 1.00, 0.99, 0.98, 1.01, 1.02, 0.99
Generally sample mean is mathematically represented as
[tex]\= x = \frac{\sum x_i}{n}[/tex]
=> [tex]\= x = \frac{1.01 + 0.97 + 1.03 \cdots +1.02 + 0.99}{16}[/tex]
=> [tex]\= x =1.0025[/tex]
Generally the standard deviation is mathematically represented as
[tex]\sigma = \sqrt{\frac{\sum (x - \= x) ^2}{n} }[/tex]
=> [tex]\sigma = \sqrt{\frac{ (1.01 - 1.0025 ) ^2 + (0.97 - 1.0025 ) ^2+ \cdots + (0.99 - 1.0025 ) ^2 }{16} }[/tex]
=> [tex]\sigma = 0.0202[/tex]
Given that the confidence level is 99% then the level of significance is
[tex]\alpha = (100 - 99 ) \%[/tex]
=> [tex]\alpha = 0.01[/tex]
From the t distribution table the critical value for [tex]\frac{\alpha }{2} = \frac{0.05}{2} = 0.005[/tex] is [tex]t_{\frac{\alpha }{2} } = 2.947[/tex]
Generally the margin of error is mathematically represented as
[tex]E = t_{\frac{\alpha }{2} } * \frac{\sigma }{\sqrt{n} }[/tex]
=> [tex]E = 2.947 * \frac{0.0202 }{\sqrt{16} }[/tex]
=> [tex]E = 0.01488[/tex]
Generally the 99% confidence interval is
[tex]\= x - E < \mu < \= x + E[/tex]
=> [tex]1.0025 - 0.01488< \mu < 1.0025 + 0.01488[/tex]
=> [tex] 0.9876 < \mu < 1.0174 [/tex]
Generally the 99% Prediction interval is mathematically represented as
[tex]\= x -[t_{\frac{\alpha }{2} } * \sigma * \sqrt{1 + \frac{1}{n} } ] < x_o <\= x +[t_{\frac{\alpha }{2} } * \sigma * \sqrt{1 + \frac{1}{n} } ][/tex]
So
=> [tex]1.0025 -[2.947 * 0.0202 * \sqrt{1 + \frac{1}{16} } ] < x_o <1.0025 +[2.947 * 0.0202 * \sqrt{1 + \frac{1}{16} } ]
=> [tex]0.941 < x_o < 1.064[/tex]
Generally the two sided limit tolerance factor at sample size of n = 16 , Prediction level of 99% and confidence level of 95 is [tex]r = 3.421[/tex] , this value is obtained from the statistical table
Generally the 99% tolerance interval for coverage of the central 95% of the distribution of diameters is mathematically represented as
[tex]\= x - (r * \sigma ) , \= x + (r * \sigma )[/tex]
=> [tex]1.0025 - ( 3.421 * 0.0202) , 1.0025 + ( 3.421 * 0.0202)[/tex]
=> [tex]0.933 , 1.072[/tex]
Greg bought a suit for $150. Cleaning costs will be $30 each year. He plans on wearing the suit 12 times each year. What will the cost per wear be after two years?
Shannon has a booth at the local farmer's market. She sells fresh tomatoes, green beans, and bell peppers at the following prices.
tomatoes $1.65 per pound
green beans $1.39 per pound
bell peppers $0.75 each
She should charge someone who wants 3 pounds of green beans and 2 bell peppers $ ______.
Answer:
$5.67
Step-by-step explanation:
If a=14 and b=4, then what does ab equal?
Answer:
If i am not wrong the answer should be 56
On Monday, there were 827 people at the amusement park. On Tuesday, the weather was rainy and only 686 people were at the park. Write an expression to estimate the difference of the number of people at
the park on Monday and Tuesday by rounding each value to the nearest
hundred.
Answer:
let monday be a = 800 (nearest 100)
let tuesday be b = 700 (nearest 100)
a+b = 800 + 700 = 1500
a+b = 1500
(7.3B) Last week Mr. Messi ran 2.2 miles on
Monday, 0.8 miles on Tuesday, one and a
quarter miles on Wednesday, one and sixth
tenths miles on Thursday and half a mile on
Friday. How many total miles did Mr. Messi
run last week?
Can some one help mee..
Answer:
4 11/12 Miles
Step-by-step explanation:
Urgent can someone please help
Answer:
x = 27 and y = 66.5
Step-by-step explanation:
First, solve for x: since the 2 angles are supplementary, they add up to 180 degrees, leaving us with the equation (5x+1)+(x+17)=180 -> 6x+18=180 -> 6x=162 -> x = 27
After that, since the lines are parallel, 5x+1 degrees = 3y-14 degrees. We already know x, so we can just plug that in and solve for y: 5*27+1 = 3y-14 -> 136 = 3y+14 -> 122 = 3y -> y = 66.5
Therefore, x = 27 and y = 66.5.
what is the solution to the equation 2/3a-1/6=1/3
Answer:
a = [tex]\frac{3}{4}[/tex]
Step-by-step explanation:
[tex]\frac{2a}{3} -\frac{1}{6} =\frac{1}{3}[/tex]
[tex]\frac{4a}{6}-\frac{1}{6} =\frac{2}{6}[/tex]
(now you can multiply the whole equation by 6 to remove the fractions
4a - 1 = 2
4a = 2+1
4a = 3
a = [tex]\frac{3}{4}[/tex]
Answer:
a=3/4
Step-by-step explanation:
Completing the ordered pair
Answer:
Please look at the photo
Step-by-step explanation:
If you need more help ask me! :)
Question 2 (1 point) What is the equation in slope-intercept form of the line that passes through the point (-4,0) and is perpendicular to the line represented by y=-3x - 1? O a y - () = -(x + 4) Ob y - 0) = (x + 4) y - 4 = -x-0) y + 4 = (x - 0)
Step-by-step explanation:
Given parameters:
Coordinate = (-4, 0)
Equation of the line given; y = -3x - 1
Unknown:
The equation of the line perpendicular to this = ?
Solution:
To find the equation of the line perpendicular to the given line, we need to obtain the value of the slope from this equation first.
The slope of the perpendicular line will be the negative inverse of the one given;
Every straight line can be written as;
y = mx + c
Given line;
y = -3x - 1
the slope of this line = -3
A perpendicular line to this line will have a slope of;
[tex]\frac{1}{3}[/tex] a negative inverse of (-3)
Now,
Let us go ahead and find the intercept c;
y = mx + c
0 = [tex]\frac{1}{3}[/tex] x (-4) + c
c= [tex]\frac{4}{3}[/tex]
insert parameters:
y = [tex]\frac{1}{3}[/tex]x + [tex]\frac{4}{3}[/tex]
Multiply through by 3;
3y = x + 4
Suppose that the value of a stock varies each day from $13 to $24 with a uniform distribution. (a) Find the probability that the value of the stock is more than $17. (Round your answer to four decimal places.) (b) Find the probability that the value of the stock is between $17 and $21. (Round your answer to four decimal places.) (c) Find the upper quartile; 25% of all days the stock is above what value? (Enter your answer to the nearest cent.) (d) Given that the stock is greater than $16, find the probability that the stock is more than $20. (Round your answer to four decimal places.)
Answer:
a. P= 0.6364
b. P = 0.3636
c. Q = $21.25
d. P = 0.5
Step-by-step explanation:
given data
value of a stock varies = $13 to $24
solution
P (stock value is more than $17)
P = [tex]\frac{(24-17)}{(24-13)}[/tex]
P = [tex]\frac{7}{11}[/tex]
P = 0.6364
and
P (value of the stock is between $17 and $21)
P = [tex]\frac{(21-17)}{(24-13)}[/tex]
P = [tex]\frac{4}{11}[/tex]
P = 0.3636
and
Let the upper quartile be Q
[tex]\frac{(24 - Q)}{(24 - 13)} = 0.25[/tex]
[tex]\frac{(24 - Q)}{11} = 0.25[/tex]
(24 - Q) = 2.75
so
Q = $21.25
and
P(X > 20 | X > 16)
P = [tex]\frac{(24-20)}{(24-16)}[/tex]
P = [tex]\frac{4}{8}[/tex]
P = 0.5
Using the uniform distribution, it is found that:
a) 0.6364 = 63.64% probability that the value of the stock is more than $17.
b) 0.3636 = 36.36% probability that the value of the stock is between $17 and $21.
c) The upper quartile is of 21.25.
d) 0.5 = 50% probability that the stock is more than $20.
An uniform distribution has two bounds, a and b.
The probability of finding a value of at lower than x is:
[tex]P(X < x) = \frac{x - a}{b - a}[/tex]
The probability of finding a value between c and d is:
[tex]P(c \leq X \leq d) = \frac{d - c}{b - a}[/tex]
The probability of finding a value above x is:
[tex]P(X > x) = \frac{b - x}{b - a}[/tex]
In this problem, varies each day from $13 to $24 with a uniform distribution, hence [tex]a = 13, b = 24[/tex]
Item a:
[tex]P(X > 17) = \frac{24 - 17}{24 - 13} = 0.6364[/tex]
0.6364 = 63.64% probability that the value of the stock is more than $17.
Item b:
[tex]P(17 \leq X \leq 21) = \frac{21 - 17}{24 - 13} = 0.3636[/tex]
0.3636 = 36.36% probability that the value of the stock is between $17 and $21.
Item c:
This is the 75th percentile, that is, the value of x for which P(X < x) = 0.75.
[tex]P(X < x) = \frac{x - a}{b - a}[/tex]
[tex]0.75 = \frac{x - 13}{24 - 13}[/tex]
[tex]x - 13 = 11(0.75)[/tex]
[tex]x = 21.25[/tex]
The upper quartile is of 21.25.
Item d:
Greater than $16, hence [tex]a = 16[/tex].
[tex]P(X > 20) = \frac{24 - 20}{24 - 16} = 0.5[/tex]
0.5 = 50% probability that the stock is more than $20.
A similar problem is given at https://brainly.com/question/13547683
Kayden bought a pair of jeans that cost $15.95, 10 bracelets for $0.83 each, and 4 shirts for $9.50 each at a store. She has $3.14 left. How much money did she have before buying the items?
Answer:
$65.39
Step-by-step explanation:
10* $0.83= $8.30
4 * $9.50= $38.00
$15.95 + $8.30 + $38.00 + $3.14 = $65.39
Add the expressions: (3x + 4) + (5x + 7) *
8x + 11
8x - 11
-8x + 11
-8x - 17
Answer:
(8x +11)
Step-by-step explanation:
Ann 's car can go 222 miles on 6 gallons of gas. During a drive last weekend, Ann used 5 gallons of gas. How far did she drive? Use pencil and paper. Explain how the problem changes if you were given the distance Ann drove last weekend instead of how much gas she used.
Answer:
185
Step-by-step explanation:
222/6=37
5*37=185
at a highschool, the length of a class period is 40 minutes. What is the length, in hours, of a class period at the high school?
Answer:
2/3 hours
Step-by-step explanation:
40 minutes = 40/60 = 2/3 hours
If 4 out of 7 armadillos
carry a defective gene,
about how many
armadillos carry the
normal gene in a
population of 843
armadillos? Round to the nearest whole.
Answer:
About 231 armadillos
Step-by-step explanation:
Step 1:
4 : 7 Ratio
Step 2:
4x + 7x = 843 Equation
Step 3:
11x = 843 Combine Like Terms
Step 4:
x = 843 ÷ 11 Divide
Step 5:
x ≈ 77
Step 6:
77 × 3 Multiply
Answer:
231
Hope This Helps :)
Another Example! Mr. Harm's class sold 1,475 items at $5 per item. He calculates his class raised $2,375. Is Mr. Harm's calculation reasonable? 1,475 5 a Х Explain:
Suppose that the walking step lengths of adult males are normally distributed with a mean of 2.6 feet and a standard deviation of 0.2 feet. A sample of 53 men’s step lengths is taken.
Step 1 of 2 : Find the probability that an individual man’s step length is less than 2.4 feet. Round your answer to 4 decimal places, if necessary.
Answer:
P[ X < 2,4 ] = 0,1587 or 15,87 %
Step-by-step explanation:
Normal Distribution N ( 2,6 , 0,2 )
mean = μ₀ = 2,6 ft and
standard dviation is
σ = 0,2 ft
Samle size 53 n = 53
2,4 - 2,6 = 0,2
That means the difference between 2,4 and the mean of the sample ( 2,6) is equal to one standar deviation. The empircal rule establishes that the interval [ μ₀ ± σ] contans 68,3 % of all values, by symmetry
μ₀ - σ = 68,3/2
μ₀ - σ = 34,15
Then the half of the bell shape curve is 0,5 and from 0,2 up to 0 ( the normalized μ₀ ) is 34,15 then dfference between
0,5 - 0,3415 = 0,1585 or 15,85% is the probability
Other procedure is:
P[ X < 2,4 ] = [X - μ₀ ] / σ
P[ X < 2,4 ] = 2,4 - 2,6 / 0,2
P[ X < 2,4 ] = - 0,2/0,2
P[ X < 2,4 ] = - 1
And fom z - table we find for z (score) = - 1
P[ X < 2,4 ] = 0,1587
Answer:
0.0668
Step-by-step explanation:
z=x−μσ=2.3−2.60.2=−1.50
Using the normal distribution tables, we find that the area under the standard normal curve to the left of z=−1.50 is approximately 0.0668. Thus, the probability that an individual man’s step length is less than 2.3 feet is approximately 0.0668.
SOMEONE HELP ME PLZZZZ
Answer:
nice
Step-by-step explanation:
What are the measures of two complementary angles if the difference of their measure is 24°
Answer:
Step-by-step explanation:
Let one angle be x
Another angle will be 24+x
x+24+x=90
2x+24=90
2x=66
x=66/2=33
Now,
x= 33
x+24= 33+24= 57
Please help!!! I will make you brainiest!!!!
Answer:
y > 5.5
Step-by-step explanation:
The answer is C
A quadratic function is one of the form f(x) = ax2 + bx + c, where a, b, and c are numbers with a not equal to zero. The graph of a quadratic function is a curve called a parabola. Parabolas may open upward or downward and vary in "width" or "steepness", but they all have the same basic "U" shape.
Plz give me brainliest
Is 1.35 an irrational number? Why?
Are the triangles below acute obtuse or right (I have to make multiple questions because it won’t let me put them on)
Answer:
they're both acute im 100% sure
Step-by-step explanation:
Use the bar diagram to write an equation. Then solve. Drag numbers to complete the equations
Numbers may be used once, more than once, or not at all.
320
4x
12x
4
12
16
20
80
320
4x +
x =
=
X =
Answer:
x = 20
Step-by-step explanation:
From the strip diagram attached in the picture,
Addition of the expressions on the two strips in orange color and yellow color gives 320.
So, by adding the two expressions given on orange and yellow strips,
4x + 12x = 320
16x = 320
x = 20
Therefore, answer will be x = 20.
Answer:
4x + 12x = 320
16x = 320
x = 20
Step-by-step explanation:
When r = 8 and s = 5, what is the value of r +2s
- 9?
Answer:
9
Step-by-step explanation:
If we substitute the variables for the numbers, the equation looks like this:
8+2(5)-9
Because 2s was multiplying 2 by s in the original equation, we can do that step first!
8+2(5)-9
8+10-9
Personally, I think it's a lot easier to subtract 9 from 10 first, but you can solve this part in any order.
8+10-9
8+1
This is the last part; we just have to add 8 and 1 now!
8+1=9
Hope this helps!!! Have a wonderful day C:
Find the equation of the linear function represented by the table below in slope-
intercept form.
Х
o
1
2
3
4
у
-1
3
7
11
15
Answer:
1y157
Step-by-step explanation:
5. Write a division number sentence
using 3,9,and 27
Answer:
27÷3 =9
Step-by-step explanation:
27 divided by 3 is 9
Answer: 3 * 9 = 27, 27 / 3= 9, 27/9 = 3
Step-by-step explanation:
3 being multiplied by 9 will give you 27.
27 divided by 9 will give you 3.
27 divide by 3 will give you 9.
Select the set of numbers that has an irrational number in it: