A machine fills 24-ounce (according to the label) boxes with cereal. The amount deposited
into the box is normally distributed with a standard deviation of 0.25 ounce. What does the
mean have to be in order for 99.5% of the boxes to contain 24 ounces or more of cereal?

Answer:  We do not know the mean  but we do know the standard deviation which is 0.25 ounces. The normal distribution plot below shows the shaded

region at approximately 5% of the area of the total Gaussian distribution.

From a Table we find that 5% is a z = -2.57 and so the mean must be 2.57

multiplied by 0.25 ounces = 3.57  0.25 = 0.643 ounces. The mean value

of box must be 0.643 ounces above the declared 24 ounces. Thus,

Mean value =  = 24.643 ounces

Step-by-step explanation:

the measure of aoc is 90 find the value of m

I PROMISE I'LL GIVE BRAINIEST
1+2x<9

Find the surface area of this triangular prisim.And pls expliane how you got that answer aswell pls.:)​

-3/2 and 0 rational numbers find​ only 3 rational numbers

A Leopoldo su Maestra l le pidió que calcular el perímetro de un rectángulo que tiene las medidas que se indican en el dibujo cuánto mide su perímetro

is a polygon with 4 sides and 4 angles
a. Triangle
b. Quadrilateral
c. Polygon​

Translate the shape A four squares left and three squares up.

Could someone explain this?

help plz!!!!!!!!!!!!!!!!!

In the problem 10-4=6 what’s the correct term for the number 4?

A. Product
B. Difference
C. Minuend
D. Subtrahend

Write "yes" or "no" to state whether or not the given side lengths would form a right triangle.
NO LINKS PLSSS
-will mark brainliest :)

I need help on this question please and thanks :)

What line is horizontal?
A. y = 2
B. y = 2x
C. y = -2x
D. y = x

What is the measure of Arc BA? An explanation would be much appreciated.

Please help no links or ill report

Two hundred and fifty-four people were surveyed regarding their favorite type of gemstone: 54% chose diamonds 6% chose sapphires 30% chose emeralds .. 10% rubies.Approximately, how many people did not choose emeralds or rubies?​

C
D
-3
Polygon ABCD has vertices A(-4,4), B(-1, 4), C(-3, 2), (-1, 1). Graph and label the vertices of
ABCD and its image A'B'C'D' after rotation it 90 degree counter clockwise. Choose the correct
ordered pairs of the image A'B'C'D'.
(2 Points)
O A'(-4,4), B'(-1,4), C(-3, 2), D(-1, 1)
Ο Ο Ο
O A'(4.4). B'(4.1), C(2, 3), D(1,1)
A'(-4,-4), B'(-4,-1), C(-2,-3), D(-1,-1)

consists of a formula a^2+b^2=c^2 which is used to figure out the value of (mostly) the hypotenuse in a right triangle. The a and b are the 2 "non-hypotenuse" sides of the triangle (Opposite and Adjacent).

Simplify the expression 6−2+5+4.

The box plots show the lengths of the songs on two digital music players in Minutes

Which statement is supported by the info?

Pls explain!!!

Which of the following is the explicit rule for a geometric sequence de
a recursive formula of a = 138,- for which the first term is 7?
O A. an = 13.70-1
O B. an = 761301-1
O c. an= 7.130+1
D. an = 13.70+1

A university is applying classification methods in order to identify alumni who may be interested in donating money. The university has a database of 58,205 alumni profiles containing numerous variables. Of these 58,205 alumni, only 576 have donated in the past. The university has oversampled the data and trained a random forest of 100 classification trees. For a cutoff value of 0.5, the following confusion matrix summarizes the performance of the random forest on a validation set:
Predicted
Actual No Donation Donation
Donation 268 20
No Donation 5375 23439
The following table lists some information on individual observations from the validation set:
0.8
Observation ID Actual Class Probability of Donation Predicted Class
A Donation 0.8 No Donation
B No Donation 0.1 Donation
C No Donation 0.6 Donation
Compute the values of accuracy, sensitivity, specificity, and precision.

Simplify:
sec x – sec x
(sin x)2

The parent function f(x) = log3x has been transformed by reflecting it over the x-axis, stretching it vertically by a factor of two and shifting it down three units. which function is representative of this transformation?

g(x) = log3(-2x) - 3
g(x) = -2log3(x) - 3
g(x) = 2log3(x) + 3
g(x) = log3(2x) + 3

A statue on a shelf is recreated on a computer screen. The actual statue is 14 in tall and 4 in wide. The statue on the computer screen is 1.5 in wide. How tall is the statue on the computer screen?​

There were twelve times more children than adults at the matinee performance of the school play. There were 455 people at the play. How many adults and children were there?

A set of data was published in the fall 2019 Phi Kappa Phi Forum regarding the performance of Major League Baseball (MLB) umpires in calling balls and strikes. The article is based on data collected by MLB over eleven seasons (2008-2018). This study shows that it is common for umpires to make incorrect calls more than 20% of the time. An average game has about 300 pitches where the umpire has to make a decision. Assume that we take a random sample of 300 of the 4 million ball/strike calls in the database. From this sample of 300, there were 70 incorrect calls made for a sample proportion of.23. The question is does this one sample of size 300 with 70 incorrect calls provide sufficient evidence to allow us to conclude that the umpires are making bad calls at a rate greater than 20%?
Calculate the value of the Z test statistic using phat - 23 from the above description.

The height of a rectangular prism is half its width. The width of the prism is 1··3o f its length. If the width of the prism is 3 centimeters, what is the volume?

Solve for x. Enter your answer in the box below as a fraction in lowest terms, using the slash (/) as the fraction bar.

6/9+x=7/10

Weight control is a serious issue for packaging of food stuffs. If more than 30% of a production run are under filled then the production run must be redone. A single production run makes 600 packages (the population). A quality control inspector at a large food packaging plant simply just selects the first 50 packages produced that day to weigh and finds 12 of them are under filled. What assumption did the inspector violate that will stop them from doing a hypothesis test