Mathematics College

the store has 53 cases of apples and oranges in a storm if there are 28 cases of apples how many cases of oranges are there in the store room

Answers

Answer 1
There are a total of 35 cases or oranges in the store room.

Related Questions

Car 6 truck 10 suv 14 minivan 15 at this rate how many trucks would pass Luann if 90 vehicles passed her?

Answers

I think that there would be 20 trucks because 6 + 10 + 14 + 15 = 45,    6 + 10 + 14 + 15 = 45,     45 + 45 = 90 

tep 1: –10 + 8x < 6x – 4 Step 2: –10 < –2x – 4 Step 3: –6 < –2x Step 4: ________

Answers

Step 4: 3>x. (The sign flips because you divided a negative)
I hope this helps love! :)

There are 62 rows of 9 chairs about how many chairs are there???

Answers

Final answer:

There are 558 chairs in total.

Explanation:

To find the total number of chairs, you need to multiply the number of rows by the number of chairs in each row. In this case, there are 62 rows and 9 chairs in each row. So, the total number of chairs would be 62 x 9 = 558.

what's the closest number to 27.8 * 9.8

Answers

280...round each number to the nearest whole number (27.8=28 and 9.8=10) then multiply and you will get 280
27.8 * 9.8  =  272.44

Closest whole number = 272.

how many square inches does an "11x13" area encompass

Answers

143 square inches          

Answer:

143 square inches

Step-by-step explanation:

The area of encompass is given by 11 * 13 inches.

Here the length = 11 inches and the width = 13 inches.

The length and width have different numbers, so the given figure is a rectangle.

Area of a rectangle = length * width

Area of the figure = 11*13

= 143 square inches

The unit for the area is "square"

The units are given in inches, therefore, it is 143 square inches.

In a football game, the home team gained 8 yards in a running play. After that, the quarterback was sacked for a loss of 8 yards. On the next play, the quarterback threw a 25-yard pass for a touchdown. What was the final yardage gain on the play? Justify your answer.

Answers

25 yards because he gained 8 then lost 8

Plot the x- and y-intercepts to graph the equation. y=−12x−3

Answers

x-intercept: (1/4) ,0
y-intercept: (0, -3)

Keywords

x-intercept, y-intercept, linear equation, graphing tool

we know that

The y-intercept is the value of y when the value of x is equal to zero

The x-intercept is the value of x when the value of y is equal to zero

In this problem we have

[tex]y=-12x-3[/tex]    

Step 1

Find the x-intercept

For [tex]y=0[/tex]

find the value of x

[tex]0=-12x-3[/tex]

[tex]12x=-3[/tex]

[tex]x=-0.25[/tex]

The x-intercept is the point [tex](-0.25,0)[/tex]

Step 2

Find the y-intercept

For [tex]x=0[/tex]

find the value of y

[tex]y=-12*0-3[/tex]

[tex]y=-3[/tex]

The y-intercept is the point [tex](0,-3)[/tex]

Step 3

With the point [tex](-0.25,0)[/tex] and the point  [tex](0,-3)[/tex]

Plot the  linear equation

Using a graphing tool

see the attached figure      

therefore

the answer in the attached figure

Shelly sells 5 bone shaped treats for $3.50 how much should she charge to a pack of 12 treats which proportion is needed to solve the problem

Answers

Hola en ese caso se realiza una regla de tres.
si shelly cobra 5 golosinas por 3.50 dolares, 12 golosinas a cuanto equivaldran.

(12x3.50)/ 5 = 8.4 dolares deberia cobrar

Answer

5/3.5and 12/x or d

the sum of 2 3/5 + (-1/5) write in simplest form

Answers

The answer is 2 2/5. Need an explanation
2 2/5 that’s the answer

Two pounds of bananas cost $1.16 what would be the cost of 5pounds s of bananas

Answers

If 2 lb of bananas cost $1.16, then each pound costs $0.58.

0.58 * 5 = 2.9

So 5 lb of bananas will cost $2.90.

Hope this helps!
The cost of 5 lbs of bananas would be $2.90.

How many times dose 63 go into 272? THANK YOU SO MUCH FOR ANSWERING,IF YOU DID!!!!!!!

Answers

Let's write this problem as an expression: 272 ÷ 63
Now, it is just division, and we can divide the two numbers to get 4.317...
However, the question only asks for how many times 63 goes into 272, so the answer would be that 63 goes into 272 four times. Hope this helps and have an awesome day!

Here again is the information about the prescription drug: there is a 10% chance of experiencing a sore throat (s) and a 30% chance of experiencing a fever (f). the information also states that there is a 6% chance of experiencing both side effects. what is the probability of experiencing neither of the side effects?

Answers

youve got a 94% chance of not experiencing it but a 90% chance of not experiencing a sore throat and a 70% cahnce of not experiencing a fever

Avery collect cans for recycling when he has 1,000 cans the recycling Center will pick them up from the house Avery has 80 bags with about 40 cans in each bag should he call the recycling center to arrange to pick up explain how you know

Answers

He should call. If he has 80 bags and each of them have 40 cans, you would do 80x40, which is 3200. He has more than enough cans for the recycling center to pick up

Which expression makes the equation true? X^8 = ( )^2

Answers

x^8 = ()^2

x^8 = (x^4)^2

x^8 = x^8

inside the parethesis is x^4

hope this helps
(a^m)^n = a^(mn)

x^8 = (x^4)^2 = x^(4 * 2) = x^8

Answer: (x^4)^2

Harry rides his bike 25 Start Fraction 3 over 8 End Fraction miles. Karen rides her bike 25two-fifths miles. Who rides farther?

Answers

I believe Harry rode the farthest.

Hope this helps!

Final answer:

After converting their distances to decimals, Karen rides farther than Harry with a distance of 25.4 miles compared to Harry's 25.375 miles.

Explanation:

The question is regarding who rides farther, Harry or Karen, given their distances in different fractional forms. Harry rides his bike 25 3/8 miles, and Karen rides 25 two-fifths miles. To compare, we must convert their distances to similar fractional forms or decimals. Converting three-eighths to a decimal gives us 0.375, and converting two-fifths to a decimal yields 0.4. Therefore, Harry rides 25.375 miles, and Karen rides 25.4 miles.

Through comparison, it is clear that Karen rides farther than Harry. Karen's total distance of 25.4 miles exceeds Harry's total distance of 25.375 miles, albeit by a slight margin.

the ratio to strawberry to banana batter is 2:3. We need 30 cups of batter total. How much banana batter do we need to make?

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The answer is eighteen

Stuck on this question. Any help would be appreciated.

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Solving the 2nd equation for r results in
         10-2h
r = --------------
             5
                    (10-2h)^2
Then r^2 = ----------------
                         25

Substitute this r and this r^2 into the first equation and simplify.  This will result in a formula for V as a function of h (V in terms of h).

Can someone please solve this?

Answers

multiplicity of a root means, is there that many times.

[tex]\bf \begin{cases} x=3\implies &x-3=0\\ x=2\implies &\begin{cases} x-2=0\\ x-2=0\\ x-2=0 \end{cases} \end{cases} \\\\\\ (x-3)(x-2)~~(x-2)(x-2)=\textit{original polynomial} \\\\\\ (x^2-5x+6)~~(x^2-4x+4)=y \\\\\\ x^4-4x^3+4x^2-5x^3+20x^2-20x+6x^2-24x+24=y \\\\\\ 1x^4-9x^3+30x^2-44x+24=y[/tex]

Use addition to simplify the expression 6/x+6/3x . show all the steps necessary to write the expression with a common denominator and to simplify the expression

Answers

Common Denominator   is 3x 

we write 6/x as 18/3x So we have

18/3x + 6 /3x = 24/3x

simplifyiby dividing numerator and denominator by 3:-

Answer is 8/x

Complete the sentence using one of the words below in 10/6 the 10 is the

Answers

The 10 Is The Numerator

The table shows the steps for solving the given inequality for x.

−3(4−6x)
Select the reason for each step from the drop-down menus.

Answers

step                                      justification

- 3 (4 - 6x) < x + 5            

- 12 + 18x < x + 5                 distributive property (to solve the left side)

-12 + 17x < 5                        subtraction property of equality (to transpose x
                                             from right to left side)

                                              subtraction of like terms (18x - x = 17x)

17x < 17                                addition property of equality (to tranpose - 12
                                              from left to right side)

                                              addition of like terms (12 + 5 =17)

x < 1                                      division property of equality



Answer:step                                      justification

- 3 (4 - 6x) < x + 5            

- 12 + 18x < x + 5                 distributive property (to solve the left side)

-12 + 17x < 5                        subtraction property of equality (to transpose x

                                            from right to left side)

                                             subtraction of like terms (18x - x = 17x)

17x < 17                                addition property of equality (to tranpose - 12

                                             from left to right side)

                                             addition of like terms (12 + 5 =17)

x < 1                                      division property of equality

Step-by-step explanation:

How many standard deviations tend to fall on either side of the mean in a distribution?

Answers

This percentage of scores fall within one standard deviation of the mean. 68% This percentage of scores fall on either side of the distribution: 50%

Sampling is ordinarily used when the number of items comprising the population is relatively small.

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I believe this statement is false, and that sampling is used when the number of items in a population are fairly large. One would use a sample to represent some form of measurement or test so that it can be applied to the larger number of same objects.

Integers contain the whole numbers.true or false

Answers

True, Integers mean "whole", and it cannot be a fraction or decimal


hope this helps
true , hope this helps :)

The ordered pair (2, 1) is a solution of a direct variation equation. Write the equation and identify the constant of variation.

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A direct variation equation takes the form "b = ka," where the k is the constant of variation. In this case, 1 (b) is one-half as large as 2 (a), so the constant will be 0.5. This would allow the equation to be written as "b = 0.5a," and the constant of variation in this equation is 0.5.

A new iPhone user receives an average of 4.2 phone calls per hour. The calls occur randomly in time so if X = the number of calls received in an hour, then we can assume that X has a Poisson distribution with parameter λ = 4.2. Let Y = the number of phone calls received in a day. Assume all necessary independence in the following.
a. Y also has a Poisson distribution. What is the λ for Y?

b. What is the standard deviation of X?

c. What is the standard deviation of Y?

d. What is the probability that no calls are received in an hour?

e. What is the probability that more than 120 calls are received in a day?

f. What is the probability that Y is between 90 and 110 inclusive? (i.e. 90 ≤ Y≤110)

g. What is the variance of square root of 2Y?

h. Assume this distribution holds for all hours and days and that one call is independent from another. What is the probability that 120 or fewer calls are received for every day of this week? (Assume appropriate independence

Add any comments below.

Answers

Part A:

Given that Y is the number of phone calls received in a day and that a new iPhone user receives an average of 4.2 phone calls per hour.

Thus, the average number of phone calls received in a day is 4.2 * 24 = 100.8

Therefore, the λ for Y is 100.8



Part B:

The standard deviation of a Poisson distribution is given by

[tex]\sigma=\sqrt{\lambda}[/tex]

Thus, the standard deviation of X is given by

[tex]\sigma=\sqrt{4.2}=2.05[/tex]

Therefore, the standard deviation of X is 2.05.



Part C:

The standard deviation of Y is given by

[tex]\sigma=\sqrt{100.8}=10.04[/tex]

Therefore, the standard deviation of X is 10.04.



Part D:

The probability of a Poisson distribution is given by

[tex]P(X=x)=e^{-\lambda} \frac{\lambda^x}{x!} [/tex]

where, x is the number of occurence of the event in the given period.

Thus, the probability that no calls are received in an hour is given by

[tex]P(X=0)=e^{-4.2} \frac{(4.2)^0}{0!} =0.015[/tex]

Therefore, the probability that no calls are received in an hour is 0.015



Part E:

We approximate the Poisson distribution using Normal distribution by noting that for a Poisson distribution

[tex]\mu=\lambda \\ \\ \sigma^2=\lambda \\ \\ \sigma=\sqrt{\lambda}[/tex]

The probability of a normal distribution is given by

[tex]P(X\ \textless \ x)=P\left(z\ \textless \ \frac{x-\mu}{\sigma} \right)[/tex]

Thus, the probability that more than 120 calls are received in a day is given by

[tex]P(X\ \textgreater \ 120)=1-P(X\leq120) \\ \\ =1-P\left(z\leq \frac{120-100.8}{10.04} \right)=1-P(z\leq1.912) \\ \\ =1-0.97208=0.0279[/tex]

Therefore, the probability that more than 120 calls are received in a day is 0.0279



Part F:

We also approximate this using Normal distribution

The probability of a normal distribution between two value (a, b) is given by

[tex]P(a\ \textless \ X\ \textless \ b)=P\left(z\ \textless \ \frac{b-\mu}{\sigma} \right)-P\left(z\ \textless \ \frac{a-\mu}{\sigma} \right)[/tex]

Thus, the probability that Y is between 90 and 110 inclusive is given by

[tex]P(90\leq X\leq 110)=P\left(z\leq \ \frac{110-100.8}{10.04} \right)-P\left(z\leq \frac{90-100.8}{10.04} \right) \\ \\ =P(z\leq0.916)-P(-1.076)=0.82025-0.14103=0.67922[/tex]

Therefore, the probability that Y is between 90 and 110 is 0.67922



Part G:

The variance of aY is given by

[tex]Var(aY)=a^2Var(Y)[/tex]

Thus, the variance of [tex] \sqrt{2} Y[/tex] is given by

[tex]Var( \sqrt{2} Y)=( \sqrt{2} )^2Var(Y)=2(100.8)=201.6[/tex]

Therefore, the variance of [tex] \sqrt{2} Y[/tex] is 201.6



Part H:

We approximate this using Normal distribution

The probability of a normal distribution is given by

[tex]P(X\ \textless \ x)=P\left(z\ \textless \ \frac{x-\mu}{\sigma} \right)[/tex]

Thus, the probability that 120 or fewer calls are received in a day is given by

[tex]P(X\leq120)=P\left(z\leq \frac{120-100.8}{10.04} \right) \\ \\ =P(z\leq1.912)=0.97208[/tex]

Since, this distribution holds for all hours and days and one call is independent from another. Assuming that there are seven days in a week.

The probability that 120 or fewer calls are received for every day of this week is given by

[tex](0.97208)^7=0.8202[/tex]

Therefore, the probability that 120 or fewer calls are received for every day of this week is 0.8202

At a dog park there are 12 golden retriever and 20 poodles what is the ratio of golden retriever to poodles

Answers

You need to find a number that 12 and 20 share so you go through all the number starting with 1 and go until you can find one so I'll use the numbers 2 and 4. Gives you two options.
12/2=6
20/2=10
6:10

12/4=3
20/4=5
3:5

State the slope and the y-intercept of each given graph plz help i really dont know how to do this

Answers

For graph 1, the y-intercept is (0,1) and the slope is 1. 
For graph 2, the y-intercept is (0,4) and the slope is -1. 
For graph 3, the y-intercept is (0,-4) and the slope is -2.
For graph 4, the y-intercept is (0,-3) and the slope is 3/2.
For graph 5, the y-intercept is (0,4) and the slope is 2.
For graph 6, the y-intercept is (0,3) and the slope is -3/2.

(By the way, since the graphs aren't labeled as numbers, I went from left to right, and then down, and then left to right again).

Now, here's the explanation: 

Solving for y-intercept is easier than it sounds. All you need to do is mark the point where the line crosses the y-axis (vertical axis).

Solving for slope is just rise/run. For example, in graph one, the points on the line went up one and then to the right one.

So, 1/1 = 1. 

When a slope moves down or to the left, it will be negative. However, that's only if the rise OR run is down/left. If both are negative, the two will cancel each other out to make a positive. 

Hope this helped!! 

evaluate -5g- 6 for g = -2

Answers

-5(-2) - 6 = 10 - 6 = 4 (answer)
4 is the answer because


-5g-6=
-5(-2)-6=
10-6=
4

A map of a public park shows a circular pond. There is a bridge along a diameter of the pond that is 0.25 mi long. You walk across the bridge, while your friend walks halfway around the pond to meet you at the other side of the bridge. How much farther does your friend walk?

Answers

The circumference of a circle is pi times diameter, so half-way around the pond is (1/2)pi times diameter.

[tex]\frac{\pi}{2} = 1.57[/tex]

The difference between walking around the pond and walking across the bridge is: 1.57d - d = 0.57d

Plug in diameter of 0.25

0.25*0.57 = 0.14 miles
Final answer:

Your friend walks approximately 0.3925 miles farther than you along the curved path of the pond.

Explanation:

To find out how much farther your friend walks, we need to compare the distance along the bridge to the distance halfway around the pond. The bridge is a straight line across the pond, which is the same as the diameter of the pond. The diameter is 0.25 miles long. Your friend walks halfway around the pond, which is equivalent to walking half the circumference of the pond. The formula for the circumference of a circle is C = 2πr, where C is the circumference and r is the radius. Since the bridge is the diameter, it is equal to 2 times the radius, or 2r. So the distance your friend walks is half the circumference or (1/2)(2πr) = πr. Since the diameter is 0.25 miles, the radius is half of that, or 0.125 miles. Plugging this into the formula, we find that your friend walks π(0.125) miles. To find a numerical approximation, we can use the fact that π is approximately 3.14, so your friend walks 3.14(0.125) miles. This simplifies to approximately 0.3925 miles. Therefore, your friend walks approximately 0.3925 miles farther than you along the curved path of the pond.

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