Answer:
0.1102 = 11.02% probability of x >= 0.337 if the windows meet the standards.
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 establishes 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 standards for glass thickness call for the glass to average 0.325 inch with a standard deviation equal to 0.065 inch.
This means [tex]\mu = 0.325, \sigma = 0.065[/tex]
Sample of 44
This means that [tex]n = 44, s = \frac{0.065}{\sqrt{44}}[/tex]
What is the probability of x >= 0.337 if the windows meet the standards?
This is 1 subtracted by the p-value of Z when X = 0.337. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
By the Central Limit Theorem
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{0.337 - 0.325}{\frac{0.065}{\sqrt{44}}}[/tex]
[tex]Z = 1.225[/tex]
[tex]Z = 1.225[/tex] has a p-value of 0.8898
1 - 0.8898 = 0.1102
0.1102 = 11.02% probability of x >= 0.337 if the windows meet the standards.
Please answer these two questions
round to the nearest thousand 83,243 answer
Answer:
83,000
Step-by-step explanation:
Thousand = 1,000s place
1,000s place of 83,243 is the 3 (3,000)
The number right before 3 is the 2 (200)
2 is closer to zero than 10 so it rounds down
83,243 then becomes 83,000 since the other numbers before the (2) round down with it.
sidney writes two equations: I = 350n and E = 150n + 1000. The equations relate income I and operating expenses E to number of customers. Sidney writes the equation P = 350n − (150n + 1000) to show how tour profit P depends on the number of customers n. Use the rule to find profits P for 8, 12, 20, and 30 customers.
9514 1404 393
Answer:
600, 1400, 3000, and 5000
Step-by-step explanation:
The profit equation can be simplified.
P = 350n -(150n +1000)
P = 200n -1000 . . . . . . . . . collect terms
P = 200(n -5) . . . . . . . . . . . factor out 200
For the given numbers n, we have ...
P = 200({8, 12, 20, 30} -5) = 200{3, 7, 15, 25} = {600, 1400, 3000, 5000}
Profits for 8, 12, 20, and 30 customers are 600, 1400, 3000, and 5000, respectively.
Help someone please T^T
Answer:
4
Step-by-step explanation:
RATIONALIZE THE
Denominator and
simplify
Answer:
[tex]\frac{8-\sqrt{6} }{2}[/tex]
Step-by-step explanation:
To rationalize the denominator, we need to multiply both the numerator and denominator by the conjugate of the denominator, which in this is 2 - √6.
We can write the expression:
[tex]\frac{3\sqrt{6}+5 }{2+\sqrt{6}} *\frac{2-\sqrt{6}}{2-\sqrt{6} }[/tex]
We can use the special product of the difference of squares to simplify the denominator:
[tex](2 + \sqrt{6})(2-\sqrt{6}) = 2^2 - (\sqrt{6})^2 =4 - 6 = -2[/tex]
We can use distributive for the numerator:
[tex](3\sqrt{6}+5)(2-\sqrt{6})=6\sqrt{6} -18+ 10-5\sqrt{6} =\sqrt{6} -8[/tex]
Now we can rewrite the fraction:
[tex]\frac{\sqrt{6}-8 }{-2} =\frac{8-\sqrt{6} }{2}[/tex]
Cubes having side lengths of 3/4in. are used to fill the right rectangular prism shown.
Answer:
36 cubes
Step-by-step explanation:
the pic is up there
Brianna received pledge amounts of $89, $35, $22, $36,
$31, and $28 for her participation in a walkathon. Which
measure of center best describes the pledge amounts?
Answer:mean
Step-by-step explanation: I am also not sure because I been looking for the anwser to this but I think it’s mean
ILL GIVE BRAINLIEST
Given the diagram, which of the following must be true?
Answer:
Choice D
Step-by-step explanation:
QS ≈ TR
they have same direction, sense and magnitude
Answer:
B. QR ≅ TS
Step-by-step explanation:
Angle TR shows us that it is a right angle. Flip it to the other side as the inverse and we get the angle QR.
pls help ASAP!! person with correct answer will be marked brainliest
Answer:
41.8°
Step-by-step explanation:
Opposite angles are equal.
Answer:
41.8 degrees
Step-by-step explanation:
They are vertical angles, meaning they are the same, just opposite one another.
Graph the image of ABC with vertices A(2,3), B(-4,4), C(-1,-3) after the glide reflection.
Translation:(x,y)—>(x+2,y)
Reflection: in the x-axis
Given:
The vertices of the triangle ABC are A(2,3), B(-4,4), C(-1,-3).
Translation: [tex](x,y)\to (x+2,y)[/tex]
Reflection: in the x-axis.
To find:
The graph of the image.
Solution:
The vertices of the triangle ABC are A(2,3), B(-4,4), C(-1,-3).
The rule of translation is:
[tex](x,y)\to (x+2,y)[/tex]
The points after translations are:
[tex]A(2,3)\to A'(2+2,3)[/tex]
[tex]A(2,3)\to A'(4,3)[/tex]
[tex]B(-4,4)\to B'(-4+2,4)[/tex]
[tex]B(-4,4)\to B'(-2,4)[/tex]
[tex]C(-1,-3)\to C'(-1+2,-3)[/tex]
[tex]C(-1,-3)\to C'(1,-3)[/tex]
After that the figure is reflected across the x-axis. So, the rule of reflection is:
[tex](x,y)\to (x,-y)[/tex]
[tex]A'(4,3)\to A''(4,-3)[/tex]
[tex]B'(-2,4)\to B''(-2,-4)[/tex]
[tex]C'(1,-3)\to C''(1,3)[/tex]
The vertices of image are A''(4,-3), B''(-2,-4), C''(1,3).
2. Caleb wants to tile the floor of his fort, the dimensions are 3mm by 4m. The tiles he
wants to buy come in squares. The perimeter of the tile is 80cm.
How many tiles will Caleb need?
tiles
Answer:
Number of tile need = 300 tiles
Step-by-step explanation:
Given:
Dimensions of floor = 3 m by 4 m
Perimeter of square tile = 80 cm
Find:
Number of tile need
Computation:
Perimeter of square tile = 4(Side)
80 = 4(Side of tile)
Side of tile = 80 / 4
Side of tile = 20 cm
Side of tile = 0.2 meter
Area of tile = 0.2 x 0.2
Area of tile = 0.04
Area of floor = 3 x 4
Side of tile = 12 square meter
Number of tile need = 12 / 0.04
Number of tile need = 300 tiles
PLEASE HELP!!
Write an equation for the
line on the graph below:
Answer:
x =-1 i think
Step-by-step explanation:
Answer:
x = -1
This is because all values of x is -1 no matter the y value
Feel free to mark this as brainliest :D
a man 1.30 m tall is on a top of a building. he observed a car on the road at an angle of 60 degrees if the building is 30 m high,how far is the car from the building?
Given :
A man 1.30 m tall is on a top of a building. He observed a car on the road at an angle of 60 degrees if the building is 30 m high.
To Find :
How far is the car from the building.
Solution :
Let, distance between car and the building is x m.
So,
[tex]tan \ \theta = \dfrac{height\ of\ building + height\ of\ man}{distance \ between \ car \ and \ building}\\\\tan \ 60^o = \dfrac{30+1.3}{x}\\\\x = \dfrac{31.3}{1.73}\ m\\\\x = 18.09\ m[/tex]
Hence, this is the required solution.
Draw a Box Plot neatly (Box & Whisker, 5 Number Summary) to represent the following points scored by a basketball player 15, 8, 16, 10, 13, 2, 8, 12, 2, 5, 6, 8. Remember the number line has to have equal intervals. Make sure you include a title and any labels needed. Show all your work to find each value.
I will give brainliest
Factor completely, then place the answer in the proper location on the grid. a2 - 25b2
Step-by-step explanation:
a² - 25b² can be expressed as a² - (5²)b²
this gives us: a² - (5b)²
using difference of two squares, we have:
(a - 5b)(a + 5b)
Given f(x) = x + 5, find f(-1).
Answer:
☄ [tex] \large{ \tt{EXPLANATION}} : [/tex]
Here , We are provided : f ( x ) = x + 5 & we're asked to find out f ( - 1 ). Now , All you need to do is assuming the value of x as -1.[tex] \large{ \tt{↬When \: x = - 1 ,\: f( - 1) = - 1 + 5 = \boxed{ \underline{ {4}}}}}[/tex]
[tex] \boxed{ \boxed{ \tt{OUR\: FINAL \: ANSWER : \boxed{ \bf{4}}}}}[/tex]
✺ Success can never be achieved by , " I'll do it tommorrow " kind of people !
ツ Hope I helped! ♡
☼ Have a wonderful day / evening ! ☃
# StayInAndExplore ! ☂
▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁
Complete the table for the function y = 7x + 2,
*LOOK AT PHOTO*
Please help and I would really appreciate if the answer is correct
Answer:
The value for 6 is ones that's the answer
Answer:
14) 0.01 or 1/100
15) 0.06
16) 3.02
17) >
18)0.6
19) 100
20) 0.35
Please can someone help me I’m confused and lost
Answer: the answer is the third one
Step-by-step explanation:
well first of all how u get 3is because u have to divide 6 by 2 or u have todo the square root of 6 and 2 and u get 3
A bakery sells 12 gourmet orange zest cupcakes for $36.00. Select all the statements that are true.
Since this bakery sells 12 gourmet orange zest cupcakes for $36.00, all the statements that are true include the following:
A. $3.00/1 is a unit rate for the cost per cupcake.
B. Using the same rate, the bakery can sell 2 dozen cupcakes for $72.00.
C. 36/12 represents the ratio of $36.00 for 12 cupcakes.
How to determine all of the true statements?First of all, we would determine the unit rate for the cost per cupcake by using the following mathematical expression;
Unit rate = Cost of cupcake/number of cupcakes
Substituting the given parameters into the unit rate formula, we have the following;
Unit rate = $36.00/12
Unit rate = $3.00.
This ultimately implies that, the unit rate for the cost per cupcake is equal to $3.00.
Note: 1 dozen is equal to 12 pieces.
For the cost of 2 dozen cupcakes, we have the following:
Cost of 2 dozen cupcakes = 12 × 2 × 3
Cost of 2 dozen cupcakes = $72.00.
For the cost of 8 cupcakes, we have the following:
Cost of 8 cupcakes = 8 × 3
Cost of 8 cupcakes = $24.00.
For the cost of 6 cupcakes, we have the following:
Cost of 6 cupcakes = 6 × 3
Cost of 6 cupcakes = $18.00.
Read more on ratios here: brainly.com/question/27817533
#SPJ1
Complete Question:
A bakery sells 12 gourmet orange-zest cupcakes for $36.00. Select all the statements that are true.
$3.00/1 is a unit rate for the cost per cupcake.
Using the same rate, the bakery can sell 2 dozen cupcakes for $72.00.
36/12 represents the ratio of $36.00 for 12 cupcakes.
Using the same rate, it would cost $24.50 for 8 cupcakes.
Using the same rate, the bakery can sell 6 cupcakes for $20.00.
someone help asapp pls
The value of the probability P(A or B) is 0.77
How to evaluate the probability?The given parameters are:
P(A) = 0.64
P(B) = 0.25
P(A and B) = 0.12
The probability is then calculated as
P(A or B) = P(A) + P(B) - P(A and B)
Substitute the known values in the above equation
P(A or B) = 0.64 + 0.25 - 0.12
Evaluate the like terms
P(A or B) = 0.77
Hence, the value of the probability P(A or B) is 0.77
Read more about probability at
https://brainly.com/question/24756209
#SPJ1
If 1/4 inch on a scale drawing represents 5 miles , what’s does 1 inch represent
Which statement is NOT true about a rhombus?
A. It has four congruent sides.
B. It has two pairs of parallel sides.
C. It has four congruent angles.
D. It is a parallelogram.
Answer:
C. It has four congruent angles.
Step-by-step explanation:
=======================================================
Explanation:
A) This statement is true, so we can rule it out. A rhombus by definition has four sides the same length. Think of a square but the sides can be slanted or the angles could be something different from 90 degrees.
B) This statement is true. The opposite sides of a rhombus are always parallel. Any rhombus is always a parallelogram, but not the other way around.
C) False. This is the answer. We could have a square, and in which case we have four congruent angles. But we could slant the sides and have the angles be something else. All that matters is that all four sides are the same length.
D) True. Any rhombus is a parallelogram as mentioned in part B. However, some parallelograms are not a rhombus. Consider any rectangle in which the length and width are not the same. The sides are parallel, but we don't have all four sides the same length.
Help please only correct answers
Answer:
[tex] A = P(1 + \frac{r}{n})^{nt}[/tex]
Step-by-step explanation:
Given the following data;
Present value, P = $300
Interest rate, r = 8%
Number of times, n = 1/4
Note: Future value = 2 * P = 2*300 = $600
Compound interest is generally calculated based on the interest rate on a loan, principal and the accumulated interest gained from previous periods. This interest is compounded for a certain number of times such as daily, weekly, quarterly or annually.
To find how long she would have to invest her money in order to double it, we would use the compound interest formula;
[tex] A = P(1 + \frac{r}{n})^{nt}[/tex]
Where;
A is the future value.
P is the principal or starting amount.
r is annual interest rate.
n is the number of times the interest is compounded in a year.
t is the number of years for the compound interest.
MULTIPLE CHOICE QUESTION
What is the mean
11.65
11.85
11.45
11.25
write each verbal phrase as an algebraic expression.
1. the sum of 8 and t
2. the quotient of g and 15
3. the product of 5 and b
4. the difference of 32 and x
Answer:
1. 8 + t
2. g/15
3. 5b
4. 32 - x
Step-by-step explanation:
1. the sum of 8 and t
8 + t
2. the quotient of g and 15
g/15
3. the product of 5 and b
5b
4. the difference of 32 and x
32 - x
The white Christmas tree is 7.55m tall.the green Christmas tree is twice as tall as the white Christmas tree which is 0.454m taller the golden Christmas tree. What is the total height of the 3:Christmas tree? A 37.296m b .372.96m.c.3729.6m.d.37296
help me guys
The white Christmas tree is 7.55m
Green Christmas tree is twice as tall as white Christmas tree: 7.55 * 2 = 15.1m
High golden Christmas tree: 15.1m - 0.454m = 14.646m
The total height of 3 Christmas trees is: 7.55m + 15.1m + 14.646m = 37.296m
Choose: A 37.296m
NEED THE ANSWER ASAP!!
Which phrase is represented by the expression 6/r+5?
A.the sum of 6 and 5 divided by a number, r
B.five more than a number, r, divided by 6
C.six divided by the sum of a number, r, and 5
D.five more than the quotient of 6 and a number, r
Answer:
D.five more than the quotient of 6 and a number,
Step-by-step explanation:
To evaluate the the phrase written as :
6/r+5
Here, there is no bracket to make any distinction, hence using the BODMAS mode of evaluation, we deal with the division first before the sum. Hence we interpr te the equation as :
6 / r = quotient ; then, 5 is added to the quotient obtained from the divison of 6 by r.
If a survey is selected at random, what is the probability that the student is a girl who chose apple as her favorite fruit
Answer:
0.15
Step-by-step explanation:
Total number of students surveyed = 300
From the table,
(Girl n apple) = 46
P(girl n apple) = 46 / 300 = 0.153