What is the probability that a data value in a normal distribution is between a
z-score of -1.32 and a z-score of 0.94? Round your answer to the nearest
tenth of a percent.
A. 58.1%
B. 90.9%
C. 34.9%
D. 73.3%

The equivalent expression is: \(-x^5 y^3 + 6x^3 y^5\).

Let's simplify the given expression step by step using the given terms:
Expression:

\(3x^3 y^5 + 3x^5 y^3 - (4x^5 y^3 − 3x^3 y^5)\)
Distribute the negative sign outside the parentheses to the terms inside:
\(3x^3 y^5 + 3x^5 y^3 - 4x^5 y^3 + 3x^3 y^5\)
Combine like terms, which are terms that have the same variables raised to the same power:
\((3x^3 y^5 + 3x^3 y^5) + (3x^5 y^3 - 4x^5 y^3)\)
Add or subtract the coefficients of the like terms:
\(6x^3 y^5 - x^5 y^3\)
So, the simplified expression is:
\(6x^3 y^5 - x^5 y^3\)

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Answer:

The co-ordinates of B are ( 7,1)

Step-by-step explanation:

Step(i):-

Given that 'M' is the midpoint of AB

Given co-ordinate points are A(-1,5) and midpoint M(3,3)

we know that the midpoint formula

\(midpoint = (\frac{x_{1} +x_{2} }{2} ,\frac{y_{1}+y_{2} }{2} )\)

\((3,3) = (\frac{-1+x_{2} }{2} ,\frac{5+y_{2} }{2} )\)

Step(ii):-

Equating

        \(3 = \frac{-1+x_{2} }{2}\)      and   \(\frac{5+y_{2} }{2} = 3\)

cross multiplication, we get

     6 = -1 + x₂    and  6 = 5 +y₂

     x₂ = 6+1        and y₂ = 6-5

    x₂  = 7         and    y₂ = 1

Final answer:-

The co-ordinates of B are ( 7,1)

Answer:

The area is 26

Step-by-step explanation:

plz give brainliest

Answer:

x=−4 or x=12

Step-by-step explanation:

Step 1: Factor left side of equation.

(x+4)(x−12)=0

Step 2: Set factors equal to 0.

x+4=0 or x−12=0

x=−4 or x=12

Answer:

-7 ?

Step-by-step explanation:

x^2 - 8x -48=0

add both x

-7x -48=0

   +48.  +48

-7x = 48

-----   -----

-7        -7

x = -7

Answer:

Step-by-step explanation:

So, first you add the four exam percentage which will be 314 then you multiply 80 and 5. We use 5 because there are total 5 exams which will give the mean of 80%. After you get the answer for 80x5 which will be 400. Then you do, 400 - 314 which will be 86. So, the answer is 86%. To figure out if that answer is right, You add all the scores percentage and divide that by 5 and you should get 80%.

To have an overall mean of 80% after five exams, the student needs to score 88% on the next exam.

To find the student's overall mean, we need to add up all the scores and divide by the number of exams.

We have 4 exams scores:84%, 71%, 86%, and 73%.

Therefore, the total of the four exam scores is:

84% + 71% + 86% + 73% = 314%

To find the overall mean after five exams, the total score after five exams should be 5 × 80% = 400%.

Therefore, to have an overall mean of 80%, the student must score (400 - 314)% on the fifth exam, which is equivalent to: 86%.

Hence, the student needs to score 86% on the next exam to have an overall mean of 80%.

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The required equation in the given situation is C = 35 + 2.50m where C is the total cost and m is the number of miles driven.

Equation: A declaration that two expressions with variables or integers are equal.

In essence, equations are questions and attempts to systematically identify the solutions to these questions have been the driving forces behind the creation of mathematics.

A mathematical statement known as an equation is made up of two expressions joined together by the equal sign.

A formula would be 3x - 5 = 16, for instance.

The equation would be:

C is the total cost and m is the miles driven.

We know that:
Charge of the truck: $35

Charge per mile: $2.50

Then, form the equation as follows:

C = 35 + 2.50m

Therefore, the required equation in the given situation is C = 35 + 2.50m where C is the total cost and m is the number of miles driven.

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Answer:

21

Step-by-step explanation:

hihihihihiiiiiiiii

Answer:

Variable: m

3 more than twice as many ringtones as Mary:

3+2m

3+2(5)

3+10

13

Step-by-step explanation:

Answer:

I got you

Step-by-step explanation:

The variable m represents the number of ringtones Mary has. The algebraic expression for this phrase is 2m + 3, where m is the number of ringtones Mary has. If Mary has 5 ringtones, then the total amount of ringtones is 2*5 + 3 = 13.

Hope this helps and let me know if you need me to explain something further!

Answer:

x = 9

Step-by-step explanation:

Answer:

y=200/9. x= 329/9

Step-by-step explanation:

3x=-43-3y; x=-43/3-y. 5(43/3-y)-8y=5; y=200/9. x= 329/9

Answer:

4÷2=2

6÷2 =3

2:3 this is 4:6 in its simplest form

they are proportional or equal

Step-by-step explanation:

multiple are numbers a divide with and not get

a remainder

example 8÷4=2

8÷3=2 remainder 1 meaning that 3 in not a multiple

2) they are not proportional

6÷2=3

18÷2=9

3:9

6÷3=2

18÷3=4=6

6÷6=1

18÷6=3

1:3

this ratios are all not equal or proportional to1:4

Answer:

Step-by-step explanation:

The value of the fraction 3c+2/4 one less than the value of the fraction 5c-1/3 is expressed as;

(3c+2)/4 = (5c-1)/3 - 1

We are to calculate the value of c as shown;

(3c+2)/4 = (5c-1)/3 - 1

(3c+2)/4 = [(5c-1) - 3]/3

(3c+2)/4 = 5c-4/3

Cross multiply;

3(3c+2) = 4(5c-4)

9c + 6 = 20c -16

9c - 20c = -16 -6

-11c = -22

c = 22/11

c = 2

Hence the value of c is 2

Answer:

____________________

Step-by-step explanation:

[

The variability in your data collection is measured by the standard deviation. It reveals the average distance between each score and the mean.

How to interpret a standard deviation?

The term "standard deviation" (or "") refers to the degree of dispersion of the data from the mean. Data are grouped around the mean when the standard deviation is low, and are more dispersed when the standard deviation is high.

What are the mean, median, and example?

The most frequent number, or the one that happens the most frequently, is known as the mode.

                     Example: Since the number 2 appears three times, more than any other number, it is the mode of the numbers 4, 2, 4, 3, and 2.

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The sum of all three interior angles of a triangle is 180° thus the measure of x for the given triangle is 8 therefore,∠E = 75°,∠D = 38°, and ∠F = 67°.

A triangle is a 3-sided shape that is occasionally referred to as a triangle. There are three sides and three angles in every triangle, some of which may be the same.

It is known that the sum of all three angles inside a triangle will be 180°.

Therefore, ∠E + ∠F + ∠D = 180°.

Given that, ∠E = 9x + 3,∠F = 11x -21 and  ∠D = 5x - 2

So, 9x + 3 + 11x - 21 + 5x - 2 = 180

25x - 20 =180

25x = 200

x = 8

So,

∠E = 9(8) + 3 = 75°

∠F  = 11(8) - 21 = 67°

∠D = 5(8) -2 = 38°

Hence "The sum of all three interior angles of a triangle is 180° thus the measure of x for the given triangle is 8 therefore,∠E = 75°,∠D = 38°, and ∠F = 67°".

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To determine if the experimental probability for getting a 6 is close to the theoretical probability, we need to compare the observed frequency of rolling a 6 to the expected probability based on a fair six-sided die.

In the given list of rolls, we have a total of 20 rolls. To calculate the experimental probability of rolling a 6, we count the number of times a 6 appears and divide it by the total number of rolls.

From the list, we can see that a 6 appears 6 times. Therefore, the experimental probability of rolling a 6 is:

Experimental probability = Number of 6's / Total number of rolls = 6/20 = 0.3

Now let's compare this experimental probability to the theoretical probability. In a fair six-sided die, each face has an equal chance of occurring, so the theoretical probability of rolling a 6 is 1/6 ≈ 0.1667.

Comparing the experimental probability of 0.3 to the theoretical probability of 0.1667, we can see that the experimental probability is higher than the theoretical probability for rolling a 6.

Therefore, the statement "the experimental probability for getting a 6 is close to the theoretical probability" is false. The experimental probability is higher than the theoretical probability in this case.

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In order to prove the triangles are similar, you have to use SAS, SSS and AA rule.

In triangle, the similarity theorem states that if they have the same ratio of corresponding sides and equal pair of corresponding angles.

Here we have to find the 3 shortcuts to prove the triangles are similar.

According to the similarity theorem, here we have triangle that is similar to other if two pairs of angles are congruent (AA) or if two pairs of sides are proportional and the included angles are congruent whereas if three pairs of sides are proportional (SSS).

Here we must know that the term similarity and congruent are similar terms.

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the number of 7-digit combos when given 7 digits that all have to be used in each combo is 5040.'

To find the number of 7-digit combos when given 7 digits that all have to be used in each combo, you need to use the permutation formula.

The formula is as follows:

\($$ P(n,r) = \frac{n!}{(n-r)!} $$\)

Where n is the total number of items and r is the number of items to be selected from n.

To find the number of 7-digit combos when given 7 digits that all have to be used in each combo, we have:

7 digits = n7-digit combos = r

Therefore, the formula becomes:

\($$ P(7,7) = \frac{7!}{(7-7)!} $$\)

We know that 7! = 7 × 6 × 5 × 4 × 3 × 2 × 1 = 5040

Hence,

\($$ P(7,7) = \frac{7!}{(7-7)!}=\frac{7!}{0!}=\frac{7\times 6 \times 5 \times 4 \times 3 \times 2 \times 1}{1}= 5040 $$\\\)

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Answer:

A.

Step-by-step explanation:

i pretty sure

Answer:

[see below]

Step-by-step explanation:

\(2x+19y=16\\\\2x-2x+19y=16-2x\\\\19y=16-2x\\\\\frac{19y=16-2x}{19}\\\\y=\frac{16}{19}-\frac{2}{19}x \\\\\boxed{y=-\frac{2}{19}x+\frac{16}{19}}\)

Hope this helps.

See attachment for math work.

Answer:

y = 8x - 8

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)

with (x₁, y₁ ) = (0, - 8) and (x₂, y₂ ) = (2, 8) ← 2 ordered pairs from the table

m = \(\frac{8-(-8)}{2-0}\) = \(\frac{8+8}{2}\) = \(\frac{16}{2}\) = 8

The line crosses the y- axis at (0, - 8 ) ⇒ c = - 8

y = 8x - 8

A. 1 2/3 cheese pizza was eaten

3/4 pepperoni pizza was eaten

In total

The total pizza that was eaten is

Convert the mixed fraction to improper fraction

This gives

Add the fractions

Therefore the total pizza that was eaten is

B. If the total pizzas ordered is 4

The leftover pizza is

Substract

Therefore, the leftover pizza is

Answer:

normal force decreases

Step-by-step explanation:

N=mgcosθ, and cosine decreases as theta increases

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Answer:

A) decreases

Step-by-step explanation:

As the angle of the incline increases, the normal force decreases, which decreases the frictional force. The incline can be raised until the object just begins to slide.

To determine whether the process is in control or not, we can use a control chart. The control chart is a graphical tool used to monitor the stability of a process over time by plotting the sample statistics such as means or proportions over time and comparing them to control limits.

In this case, we are interested in monitoring the proportion of claims that were mailed within the five-day limit. We will use a p-chart, which is a control chart used to monitor the proportion of nonconforming items in a sample.

The formula for the p-chart is:

p = (number of nonconforming items in the sample) / (sample size)

The control limits for the p-chart are:

Upper control limit (UCL) = p-bar + 3sqrt(p-bar(1-p-bar)/n)

Lower control limit (LCL) = p-bar - 3sqrt(p-bar(1-p-bar)/n)

where p-bar is the overall proportion of nonconforming items, n is the sample size, and sqrt is the square root function.

Let's calculate the p-chart for the given data. The total number of samples is 24 and the sample size is 100.

First, we calculate the proportion of claims that were mailed within the five-day limit for each sample:

p1 = 1 - 12/100 = 0.88

p2 = 1 - 14/100 = 0.86

p3 = 1 - 18/100 = 0.82

p4 = 1 - 10/100 = 0.90

p5 = 1 - 8/100 = 0.92

p6 = 1 - 12/100 = 0.88

p7 = 1 - 13/100 = 0.87

p8 = 1 - 17/100 = 0.83

p9 = 1 - 13/100 = 0.87

p10 = 1 - 12/100 = 0.88

p11 = 1 - 15/100 = 0.85

p12 = 1 - 21/100 = 0.79

p13 = 1 - 19/100 = 0.81

p14 = 1 - 17/100 = 0.83

p15 = 1 - 23/100 = 0.77

p16 = 1 - 24/100 = 0.76

p17 = 1 - 21/100 = 0.79

p18 = 1 - 9/100 = 0.91

p19 = 1 - 20/100 = 0.80

p20 = 1 - 16/100 = 0.84

p21 = 1 - 11/100 = 0.89

p22 = 1 - 8/100 = 0.92

p23 = 1 - 20/100 = 0.80

p24 = 1 - 7/100 = 0.93

Next, we calculate the overall proportion of claims that were mailed within the five-day limit:

p-bar = (p1+p2+...+p24)/24 = 0.8575

Then, we calculate the control limits for the p-chart:

UCL = p-bar + 3sqrt(p-bar(1-p-bar)/n) = 0.8992

LCL = p-bar - 3sqrt(p-bar(1-p-bar)/n) = 0.8158

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Answer:

Step-by-step explanation:

The graph must be increasing the whole time because distance is increasing whenever she is running. Because she ran faster during the beginning the line should be steeper than the second stage of her running. Therefore only the fourth graph (bottom right) is an appropriate choice.

Answer:

20

Step-by-step explanation:

30:12 is the original ratio. So if you divide both sides by the numbers' GCF of 6 you'll get a simplified ratio of 5:2. Then multiply both sides by 4 to keep the ratio constant, then you'd get 20:8. So when the teddy bear casts a shadow of 8 inches long the actual teddy bear is 20 inches tall. Hope this helps!

Answer:

The similarity ratio is 2 to 1

Step-by-step explanation:

Mathematically, when two triangles are similar, the ratio of their corresponding sides are equal

Now, let us use the angle markings

We have it that;

RP/QR = VW/VX

4/8 = 1/2

1/2 = 1/2