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There is approximately an 89.44% probability that a box of cereal is underfilled by 5 g or more.

To find the probability that a box of cereal is underfilled by 5 g or more, we need to calculate the probability of obtaining a weight measurement below 345 g.

First, we can standardize the problem by using the z-score formula:

z = (x - μ) / σ

Where:

x = the weight value we want to find the probability for (345 g in this case)

μ = the mean weight (350 g)

σ = the standard deviation (4 g)

Substituting the values into the formula:

z = (345 - 350) / 4 = -1.25

Next, we can find the probability associated with this z-score using a standard normal distribution table or a statistical calculator.

The probability of obtaining a z-score less than -1.25 is approximately 0.1056.

However, we are interested in the probability of underfilling by 5 g or more, which means we need to find the complement of this probability.

The probability of underfilling by 5 g or more is 1 - 0.1056 = 0.8944, or approximately 89.44%.

Therefore, there is approximately an 89.44% probability that a box of cereal is underfilled by 5 g or more.

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Given

The inequality,

To find the solution set for this inequality.

Explanation:

It is given that,

The inequality is,

Also, it is known that,

Absolute value cannot be less than 0.

Then, the inequality

has no solution.

Hence, the answer is option A).

You have the next diagram:

R=10+5=15

B=5+8=13

R∩B=5

U=49+5+8+10=72

The number of fruits that are not reds is those that are outside of the set R: 57

The number of fruits that are berries is those that are in the set B: 13

The number of fruits that are red berries is those that are in set R and in set B: 5

The number of fruits that are not red and not berries is those that are outside the sets R and outside the set B: 49

Answer:

1) 9

2) 27

3) Read explanation below!

Step-by-step explanation:

1) Use the Pythagorean theorem to find AD. Show your working

To find '?' we first have to expand the indices...

Now work out '?'

2) Find AC. Show your working

We have found out that AD is 9 and to find AC we have to add 18!

3) Is ΔABC a right triangle? Explain

We can that ΔABC is not a right angle as none of the angles in the triangle are 90°!  If it was a right angled triangle we would see the ∟sign on one of the angles. Even though there are two of those in the middle it does not count as the question is asking about ΔABC!!

Have a lovely day :)

Answer:

The slope is -2 and the slope-intercept form is y=-2x+20

Step-by-step explanation:

To find the slope between two points, remember to use the equation y2-y1 over x2-x1. That will help you get the slope. To find the y-intercept, use any of the two points given and insert the slope into the equation y=mx+b. For this one I used the two points (7,6)

Answer:

The answer is point A' (3, -2).

Answer:

The inequality shown in the graph is y ≤ -3x + 3 ⇒ C

Step-by-step explanation:

The linear form of the equation of a line is y = m x + b, where

From the given graph

∵ The line passes through points (0, 3) and (2, -3)

∴ x1 = 0 and x2 = 2

∴ y1 = 3 and y2 = -3

∵ The slope of the line is m = Δy/Δx

∵ Δx = 2 - 0 = 2

∵ Δy = -3 - 3 = -6

∴ m = \(\frac{-6}{2}\)

∴ m = -3

∵ b is value y at x = 0

∴ b = 3

→ Substitute m and b in the form of the equation above

∴ y = -3x + 3

∵ The line is solid and the shading area is under the line

∴ The sign of inequality is ≤ ⇒ (smaller than or equal)

→ Change = in the equation by ≤ to get the inequality

∴ y ≤ -3x + 3

∴ The inequality shown in the graph is y ≤ -3x + 3

The price of each of these be

A. Price  \(}=\left(\frac{100 \%-20 \%}{100 \%}\right) * 120=\frac{80}{100} * 120=96 \\\)

B. Price =\(\left(\frac{100 \%-20 \%}{100 \%}\right) * 750=\frac{80}{100} * 750=600 \\\)

C. Price \(=\left(\frac{100 \%-20 \%}{100 \%}\right) * 250=\frac{80}{100} * 250=200\)

The complete question is.

A shop gives 20% discount. What would the price of each of these be?

A dress market at Rs.120

A pair of shoes market at Rs.750

A bag market at Rs.250

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The guests in the birthday party ate 33 cookies.

We know that Mrs. Smith made 6 1/4 dozen cookies and there were 3 1/2 dozen cookies left.

Let's first convert these fractions to a common denominator of 4, so we can easily subtract them.

6 1/4 dozen = 25/4 dozen

3 1/2 dozen = 14/4 dozen

Now we can subtract the number of cookies that were left from the number of cookies that were made:

25/4 - 14/4 = 11/4 dozen

To find out how many cookies this represents, we need to multiply by the number of cookies in one dozen.

There are 12 cookies in one dozen, so:

11/4 x 12 = 33

Therefore, the guests ate 33 cookies.

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You're being told to make 5.894 bigger (because the exponent is a positive 6) and to do so by moving the decimal 6 places to the right.  

You're essentaily muliplying 5.894 by 10 a told of six times and time you multiply a number by 10, you move the decimal one place to the right.

29 years from now, the father will be 49 years old.

Let's start by setting up the given information:

Currently, the father is 20 years old, and the son is 5 years old.

In 10 years, the father will be twice as old as the son.

The father is currently four times as old as the son.

Determine the age of the father and son in 10 years:

In 10 years, the father's age will be 20 + 10 = 30 years.

In 10 years, the son's age will be 5 + 10 = 15 years.

Write equations based on the given information:

The father's age in 10 years will be twice the son's age in 10 years: 30 = 2 × 15.

The father's current age is four times the son's current age: 20 = 4 × 5.

Solve the equations:

From the second equation, we find that the son's current age is 5 years.

Plugging this value into the first equation, we get: 30 = 2 × (5 + 10).

Simplifying further, we have: 30 = 2 × 15, which is true.

Determine the current age of the son in 29 years:

The son's current age is 5 years.

Adding 29 years to the son's current age, we find that the son will be 5 + 29 = 34 years old.

Determine the current age of the father in 29 years:

The father's current age is 20 years.

Adding 29 years to the father's current age, we find that the father will be 20 + 29 = 49 years old.

Therefore, 29 years from now, the father will be 49 years old.

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not d

Step-by-step explanation:

d is not the anser cus it is to small or a purshes

Answer:

David has 280 yards of fencing to enclose a rectangular area. Find the demensions of the rectangle that maximize the enclosed area.What is the maximum area?

***

let x=width

let y=length

2x+2y=280

x+y=140

y=140-x)

Step-by-step explanation:

Answer:

223.8

Step-by-step explanation:

I failed the test to get the answer

Answer:

the answer is 223.8

Step-by-step explanation:

Answer:

Your statement is correct.  The concept of similarity is an important one in geometry and can be applied to various types of shapes, including triangles, rectangles, circles, and more. When two figures are similar, their corresponding sides are proportional, meaning that the ratio of the length of one side to the length of its corresponding side in the other figure is the same for all corresponding pairs of sides. This scale factor is what allows us to enlarge or reduce a figure while preserving its shape.

Answer:

There are 8 flowers.

Step-by-step explanation:

You have the 3 you filled in correct. Since there are 12 flowers, and we know that there are only two colors, once we know one color we can figure the other one out. We are told that there are 4 pink flowers. Since we know there are 4 pink flowers, we can do subtraction to find how many red flowers there are. 12-8=4. You begin with 12, then count back 4. 11, 10, 9, and then 8. This is how you find the answer. I hope this helps!

The period of oscillation is 3 seconds

A Oscillation is the periodic change of a measure around a central value or between two or more states, usually in time.

The time taken for an oscillating particle to complete one cycle of oscillation is known as the Period of oscillating particle. It is measured in seconds

Oscillation can also be vibration or revolution or cycle.

Therefore, using the graph to determine the period. Then the wave particle made a complete oscillation at 3 second.

This means that the period of the particle is 3 seconds.

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Answer:

https://rr.noordstar.me/83819a0f

Answer: B

Step-by-step explanation:

I didn't waste time looking at if the data was Symmetric or skewed, because A, C and D are all false statements:

A - If it's skewed Mean wouldn't be used

C - If it's Symmetric IQR wouldn't be used

D - If it's skewed Standard Deviation wouldn't be used

Answer:

C E F

Step-by-step explanation:

They all are around 2.23

Answer:

The first one

Step-by-step explanation:

She cant buy anything over $15, but she can buy something thats $15 :))

Answer:

Step-by-step explanation:

Answer:

there are many case and additional

items are needed to fulfill to order

of60items ordered

Step-by-step explanation:

Answer:

45°

Step-by-step explanation:

There is a propiety that says "The measure of the inscribed angle is half that of the arc that the two sides cut out of the circle."

So the central angle is 90, the inscribed angle will be 90/2=45°

Answer:

200 lbs.

Step-by-step explanation:

Divide mass value by 16 to convert oz to lbs.

3,200/16=200

Answer:c, the answer is c

Step-by-step explanation:

The critical value (Using FDIST(0.05, 2,9)) = 3.356

Therefore F statistic should be \(\geq 3.356\)

(a) k = number of columns = 5, n = 3,. Therefore N = 15

df1 = k - 1 = 4

df2 = N - k = 15 - 4= 11

The critical value (Using FDIST(0.05, 2,9)) = 3.356

Therefore F statistic should be \(\geq 3.356\)

_________________________________________

(b) k = number of columns = 5, n = 5,. Therefore N = 25

df1 = k - 1 = 4

df2 = N - k = 25 - 4 = 21

The critical value (Using FDIST(0.05, 4,21)) = 2.758

Therefore F statistic should be \(\geq 2.758\)

_________________________________________

(c) k = number of columns = 5, n = 7,. Therefore N = 35

df1 = k - 1 = 4

df2 = N - k = 35 - 4 = 31

The critical value (Using FDIST(0.05, 4,31)) = 2.678

Therefore F statistic should be \(\geq 2.678\)

_________________________________________

(d) Summary:

(i) As the sample size increases, the critical value decreases, and therefore a smaller F statistic is required to reject the null hypothesis.

(ii) Keeping k constant and increasing n, decreases the critical value and

(iii) Keeping n constant and increasing k, will also decrease the critical value.

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Answer:

5.25

Step-by-step explanation:

      y varies directly with x

            y ∝ x

Now, let us introduce the constant of proportionality which is k;

           y  = kx

If y = 84 and x = 16; what is k;

           84  = 16k

            k  = \(\frac{84}{16}\)   = 5.25

Answer:

try to multiply the $400 to the interest and divided by $22.40

Answer:

44°

Step-by-step explanation:

A pair of angles formed from the intersection of two lines opposite to each other at the point of intersection (vertex) is called vertically opposite angles. These vertically opposite angles are congruent to each other (that means they are equal).

Since opposite angles are equal, the equation needed to calculate w is given as:

80° = 36° + w

w = 80° - 36°

w = 44°

The approximate area of the shaded sector is 97 cm^2

What is area of circle ?

area of circle can be defined as the product of pi and square of radius ,the value of pi is 22/7 or 3.14 .

Given , diameter = 12

We need to convert diameter to r

d =2r

d/2 =r

12/2=r

6 =r

The radius is 6

A= pi *6^2

A = 36 *(3.14)

A = 113.04 cm^2

Now the fraction of the circle that is shaded is 301degrees out of 360

(A circle is 360 degrees)

=310/360 * area of a circle

=310/360 * 113.04

= 97.34

Hence , The approximate area of the shaded sector is 97 cm^2 .

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