Answer:
The average repair cost per saw for the past month is 20.
The bound of error of estimation is ±10.
Step-by-step explanation:
a) Data and Calculations:
Industry No.of saws Total repair cost Average
for past month
1 3 50 16.67
2 7 110 15.71
3 11 230 20.91
4 9 140 15.56
5 2 60 30
6 12 280 23.33
7 14 240 17.14
8 3 45 15
9 5 60 12
10 9 230 25.56
11 8 140 17.50
12 6 130 21.67
13 3 70 23.33
14 2 50 25
15 1 10 10
16 4 60 15
17 12 280 23.33
18 6 150 25
19 5 110 22
20 8 120 15
Total 130 2,565 19.73
Average = Sum of the total repair cost for past month divided by the number of saws repaired
= 19.73 (2,565/130)
= 20
The bound on error of estimation = the difference between the upper bound of the interval and the calculated mean
= 30 - 20
= 10
The lower bound = 10
The bound of error is also = (30 -10)/2 = 10
Forty families gathered for a fund-raising event. Suppose the individual contribution for each family is normally distributed with a mean and a standard deviation of $105 and $40, respectively. The organizers would call this event a success if the total contributions exceed $4,600. What is the probability that this fund-raising event is a success
Answer:
0.0571 = 5.71% probability that this fund-raising event is a success
Step-by-step explanation:
To solve this question, we need to understand the normal probability distribution and the central limit theorem.
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.
Central Limit Theorem
The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
The organizers would call this event a success if the total contributions exceed $4,600
Forty families, so sample mean above 4600/40 = 115.
Mean and a standard deviation of $105 and $40
This means that [tex]\mu = 105, \sigma = 40[/tex]
Sample of 40
This means that [tex]n = 40, s = \frac{40}{\sqrt{40}} = 6.3246[/tex]
What is the probability that this fund-raising event is a success?
Sample mean above 115, which is 1 subtracted by the pvalue of Z when X = 115. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
By the Central Limit Theorem
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{115 - 105}{6.3246}[/tex]
[tex]Z = 1.58[/tex]
[tex]Z = 1.58[/tex] has a pvalue of 0.9429
1 - 0.9429 = 0.0571
0.0571 = 5.71% probability that this fund-raising event is a success
C. Mrs. Hampton used 1/3 of a gallon of milk to feed three kittens. If she fed an equal amount
of milk to each kitten, how much milk would one kitten get?
Answer: 14.22 ounces each
Step-by-step explanation:
128 ounces in a gallon divided by 3 divided by 3 again
1 cm= 4 meters model is 75 1/4 cm tall what is the actuall height
Answer:
Step-by-step explanation:Answer:
1cm = 50
2 cm = 50 x 2
3cm = 50 x 3
and the inverse:50m = 50/50 = 1cm
100m = 100/50 = 2cm
150m = 150/50 = 3cm
381m = 381/
In ΔJKL, j = 6.3 inches, l = 6.1 inches and ∠L=54°. Find all possible values of ∠J, to the nearest 10th of a degree.
Answer:
56.7 and 123.3
Step-by-step explanation:
delta math
The required value of ∠J is 56.6° for the given triangle.
What is a Triangle?Triangle is defined as a basic polygonal shape of a triangle that has three sides and three interior angles. It is one of the fundamental shapes in geometry and is represented by the symbolΔ.
Here, we are given:
j = 6.3 inches (the length of side JK)
l = 6.1 inches (the length of side KL)
∠L = 54° (the measure of angle L)
We want to find the possible values of ∠J (the measure of angle J).
Using the law of sines, we can write:
j/sin ∠J = l/sin ∠L
Substituting the given values, we get:
6.3/sin ∠J = 6.1/sin 54°
Multiplying both sides by sin ∠J and dividing by 6.1, we get:
sin ∠J = (6.3/6.1) sin 54°
sin ∠J ≈ 0.8354
∠J = sin⁻¹ (0.8354)
∠J = 56.6°
Therefore, the required value of ∠J is 56.6°.
Learn more about the triangles here:
https://brainly.com/question/17997149
#SPJ3
Simplify 2x - x + 4x
Ajar contains 5 red marbles, 3 green marbles, and 4 blue marbles. A marble is selected without looking. What is the probability that the selected marble is red?
Step-by-step explanation:
most likley
(g(1) = 51
lg(n) = g(n-1) + 2
Find an explicit formula for g(n).
g(n) =
9514 1404 393
Answer:
g(n) = 2n +49
Step-by-step explanation:
The recursive formula tells you this is an arithmetic sequence with first term 51 and common difference 2. The explicit formula for such a sequence is ...
an = a1 +d(n -1) . . . . first term a1, common difference d
Using the sequence values, we have ...
g(n) = 51 +2(n -1)
g(n) = 2n +49 . . . . . simplified
Is this correct?? So, basically, it asking for a decimal equivalent to 920.35
Enter the explicit rule for the geometric sequence.
9,6,4,8/3,…
Answer:
[tex]9 (\frac{2}{3})^{n-1}[/tex]
Hope this helps!
Sean works for a company.
His normal rate of pay is £12 per hour.
When Sean works more than 8 hours a day, he is paid overtime for each hour he works
more than 8 hours.
Sean's rate of overtime pay per hour is 1 1/4 times his normal rate of pay per hour.
On Monday Sean worked for 10 hours.
Work out the total amount of money Sean earned on Monday.
Answer:
$126
Step-by-step explanation:
10-8=2(hours overtime)
1 1/4 × 12 = $15 per hour
2×15=$30
8×12=$96
$96+$30= $126
hello trying to find Anokhi44 because the question I was talking to them got deleted soooooo and i can't find them .
2+2=
Answer:
4
Step-by-step explanation:
That sucks hope you find them.
What is the x-coordinate of the point on the line x = 3y - 1 with a y-coordinate of 4
Answer:
11
Step-by-step explanation:
when y = 4
x = 3(4) -1
x= 12-1 = 11
The figure formed by two rays from the same endpoint is an
Answer:
common endpoint
Step-by-step explanation:
Will give brainliest
Answer:
c
Step-by-step explanation:
Answer:
its a reflection over the x-axis
Using traditional methods, it takes 8.6 hours to receive a basic flying license. A new license training method using Computer Aided Instruction (CAI) has been proposed. A researcher used the technique with 26 students and observed that they had a mean of 8.4 hours with a standard deviation of 1.0. A level of significance of 0.1 will be used to determine if the technique performs differently than the traditional method. Assume the population distribution is approximately normal. Make the decision to reject or fail to reject the null hypothesis.
Answer:
t(s) is in the acceptance region. We accept H₀ we don´t have enough evidence to justify differences in the procedures
Step-by-step explanation:
Traditional procedure bring as μ = 8,6 h
Sample Information:
Sample size n = 26
Sample mean x = 8,4
Sample standard deviation s = 1
With n = 26 unknown population standard deviation, and population with normal distribution we should use t-student test
then n = 26 degree of freedom df = n - 1 df = 25
significance level 0,1 with that information we look in t-student table t (c) ( two tails test)
t(c) = - 1,708
Test Hypothesis
Null hypothesis H₀ x = μ
Alternative Hypothesis Hₐ x ≠ μ
Alternative hypothesis indicates that the test should considered two tails
To calculate t(s)
t(s) = ( x - μ ) / s/√n
t(s) = ( 8,4 - 8,6 )/ 1/√26
t(s) = - 0,2 * 5,09 / 1
t(s) = - 1,019
Comparing |t(s)| and |t(c)|
1,019 < 1,708 |t(s)| < |t(c)|
t(s) is in the acceptance region. We accept H₀ we don´t have enough evidence to justify differences in the procedures
Find 0.198 = 0.18. Write your answer as a decimal.
help.
Find the measures of the missing angles:
Answer:
m<1 = 70
m<2 = 110
m<3 = 82
Step-by-step explanation:
<1:
x + 75 + 35 = 180
x + 110 = 180
x = 70
<2:
<1 + x = 180
70 + x = 180
x = 110
<3:
The blank angle is 70 (b/c of 180 - 110) and vertical angles with <1
x + 70 + 28 = 180
x + 98 = 180
x = 82
Which expression could be use to determine the product of -4and 3/1/4
A baker has 6 pounds of sugar. He divides into 3 containers. He then uses 1 container to bake pies. Which expression shows how many pounds of sugar the baker used?
A baker has 6 pounds of sugar. He divides into 3 containers. He then uses 1 container to bake pies.
Step-by-step explanation:
If the question is how much sugar contains pie, then do it like this:
6:3=2
So in one container you have 2 pounds of sugar. And if you use 1 container for a pie you will use : 2 pounds of sugar for pie.
If question is how much sugar does he have after that, it would be:
6-2=4 pounds of sugar or
3-1= 2 containers of sugar
what is the straight distance between point h and j on the grid below
Answer:
Step-by-step explanation:
8
1. Find the value of x in the figure below.
74°
2x
Answer:
2x-7
Step-by-step explanation:
PLEASE HELP GEOMETRY ASAP! 20 POINTS REAL ANSWERS ONLY OR WILL BE REPORTED AND DELETED WITH NO POINTS!!
I thought it was B, but it says it's wrong. Its definitely not D, so A or C?
9514 1404 393
Answer:
A) B = 37.2°, b = 309.1, c = 382.3
Step-by-step explanation:
You know the third angle must be ...
B = 180° -131.6° -11.2°
B = 37.2° . . . . . . eliminates choice D
You know the two missing sides are both longer than 99.3, eliminating choice C.
Since angle C is the largest angle, side c is the longest side, eliminating choice B.
By the process of elimination, we know the correct choice is A.
__
The Law of Sines will tell you the length of side C is related to the other triangle values by ...
c/sin(C) = a/sin(A)
c = (99.3 ft)×sin(131.6°)/sin(11.2°)
c ≈ 382.3 ft . . . . matches choice A
ALGEBRA
identify the terms, coefficients, and constants in the expression.
3+c+e
Answer:
I love algebra anyways
the ans is in the picture with the steps
(hope it helps can i plz have brainlist :D hehe)
Step-by-step explanation:
In ΔMNO, m = 5.6 cm, o = 4.6 cm and ∠O=39°. Find all possible values of ∠M, to the nearest 10th of a degree.
Answer:
Answer: 50∘ and 130∘
Step-by-step explanation:
deltamath:)
The measures of M are 50.0 and 130 degrees
The given parameters are:
[tex]\mathbf{m = 5.6cm}[/tex]
[tex]\mathbf{o = 4.6cm}[/tex]
[tex]\mathbf{\angle O = 39^o}[/tex]
The measure of angle M is calculated using the following sine formula
[tex]\mathbf{\frac{o}{sin\ O} = \frac{m}{sin\ M}}[/tex]
So, we have:
[tex]\mathbf{\frac{4.6}{sin\ 39} = \frac{5.6}{sin\ M}}[/tex]
Evaluate sin 39
[tex]\mathbf{\frac{4.6}{0.6293} = \frac{5.6}{sin\ M}}[/tex]
Cross multiply
[tex]\mathbf{sin\ M \times 4.6 = 5.6 \times 0.6293}[/tex]
[tex]\mathbf{sin\ M \times 4.6 = 3.5241}[/tex]
Divide both sides by 4.6
[tex]\mathbf{sin\ M = 0.7661}[/tex]
Take arc sin of both sides
[tex]\mathbf{M = sin^{-1}(0.7661)}[/tex]
[tex]\mathbf{M = 50.0}[/tex]
The other possible value of M is:
[tex]\mathbf{M = 180 -50.0}[/tex]
[tex]\mathbf{M = 130.0}[/tex]
Hence, the measures of M are 50.0 and 130 degrees
Read more about sine equations at:
https://brainly.com/question/14140350
Eileen plant a tree that is 2 meters tall in her yard which of the following is equivalent to meters following is equivalent to 2 meters?
(A) 200 mm
(B) 20 cm
(C) 200 km
(D) 2,000 mm
Answer:
D
Step-by-step explanation:
Answer: (d)
Step-by-step explanation:
6th GRADE MATH! PLEASE HELP EEEEEEEEE
Answer:
-4m+10
Step-by-step explanation:
Answer:
-4m+10
explanation:
6m-10=-4m
+10
-4m+10
A glass has 6/8 cup of water. If Jack pours out 3/8 cup of the water, how much water will be left?
Answer:
3/8
Step-by-step explanation:
........ur welcome.........
6/8 - 3/8
Answer:
3/8
Step-by-step explanation:
6/8-3/8 =38 your welcome guys;)
Help me I need help this is due today
In ABC, the measure of the largest angle is 16 less than 4 times the smallest angle. The measure of the middle angle is 7 more than half the measure of the largest angle. What is the measure of the middle angle?
Answer:
Step-by-step explanation:
Let A ≤ B ≤ C
largest angle is 16 less than 4 times the smallest angle
C = 4A-16
middle angle is 7 more than half the measure of the largest angle
B = C/2 + 7
A+B+C = 180°
A = 28 ⅐°
B = 55 2/7°
C = 96 4/7°