One fifth of one number and one fourth of a number are added, the result is 29. What is the original number?

Answer:

The first and third quartile of the wingspans are 116.9 cm and 133.1 cm respectively.

Step-by-step explanation:

The first and third quartile of a normal distribution are:

[tex]Q_{1}=\mu-0.675\sigma\\\\Q_{3}=\mu+0.675\sigma[/tex]

The information provided is as follows:

[tex]\mu=125\\\sigma=12[/tex]

Compute the first and third quartile of the wingspans as follows:

[tex]Q_{1}=\mu-0.675\sigma=125-(0.675\times 12)=116.9\\\\Q_{3}=\mu+0.675\sigma=125+(0.675\times 12)=133.1[/tex]

Thus, the first and third quartile of the wingspans are 116.9 cm and 133.1 cm respectively.

Answer:

1. A Function

2. A Function

Step-by-step explanation:

1. Number one is not a function because non of the numbers from the x-axis are repeated.

2. Number two is not a function because non of the numbers from the x-axis are repeated.

Answer:

Step-by-step explanation: La fórmula de la caída libre, teniendo a la altura como valor dado, sería:

donde h es la altura y g la gravedad.

Solución

h=100 metros

g=9.8m/s^2

se sustituye en la fórmula

dando como resultado

th=4.52 segundos de caída libre

Answer:

420 over 225, 28/15

Step-by-step explanation:

Answer:

It would be 1.33333

Step-by-step explanation:

Sam's swimming pool cleaning has 73 customers.

The correct option is d.

The division in mathematics is one kind of operation. In this process, we split the expressions or numbers into the same number of parts.

Given:

Sam's Swimming Pool Cleaning has an annual net income of $46,900.

Sam charges $25 per week for each of his customers for 52 weeks.

His annual operating expenses, including labor and supplies, are $48,000.

His total income,

= 46900 + 48000

= 94900.

The number of customers = 94900/(25 x 52) = 73.

Therefore, the number of customers is 73.

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Answer:

Approximately 262%

Step-by-step explanation:

To find the percentage increase divide the new amount of offenses by the old amount of offenses:

2448/935 = 2.618

2.618 rounds to 2.62. Convert 2.62 into a percentage: 262%

The percentage increase between the amount of offenses in 2000 and the amount of offenses in 2019 is approximately 262%.

Answer: $521.50

Step-by-step explanation:

58 hours worked

40 hours regular x $7.45 = $298

6 hours holiday  x $7.45 x 2 = $89.40

58 - 46 = 12 hours overtime x $7.45 x 1.5 = $134.10

$298 + $89.40 + $134.10 = $521.50

Answer:

The equation of the line (in slope-intercept form) is y=4x-9

Answer:

25 transwind

Step-by-step explanation:

the wind speed in your country is probably 4cm and in the next six hours is going to change to carbon dioxide speed which is 25 transpiring

Answer:

the mean is 7.2 and the median is 8

Step-by-step explanation:

when you add up all the data you will get 36 which you divide by 5 since there are 5 different values.This will result to 7.2 as your final answer .Whereas for the median out of the 5 numbers the median would be the 3rd number which when you order them from smallest to largest it would be 8.

Answer:

1.9 litres is equvalent to 1900 mililitres

Answer:

250

Step-by-step explanation:

i aint never seen two pretty best friends its always one of em gotta be ugly

Answer:

250

Step-by-step explanation:

hope it helped you !

Answer:

2x + 5y = -4

Step-by-step explanation:

The standard form for linear equations in two variables is Ax+By=C. For example, 2x+3y=5 is a linear equation in standard form. When an equation is given in this form, it's pretty easy to find both intercepts (x and y). This form is also very useful when solving systems of two linear equations.

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Explanation:

Let's use point slope form to get

y - y1 = m(x - x1)

y - y1 = -4(x - x1) .... plug in the given slope m = -4

y - 5 = -4(x - 2) .... plug in the given point (x1,y1) = (2,5)

Now we isolate y

y - 5 = -4(x - 2)

y - 5 = -4x + 8

y = -4x + 8 + 5

y = -4x + 13

This equation is in slope intercept form y = mx+b

m = -4 is the slope

b = 13 is the y intercept

To get this into standard form, we add 4x to both sides so that the x and y terms are on the left side

y = -4x+13

y+4x = 13

4x + y = 13 is the final answer

This is in standard form Ax+By = C where

A = 4

B = 1

C = 13

--------------------------

Let's check the answer. Plug in (x,y) = (2,5) to find that...

4x+y = 13

4*2 + 5 = 13

8 + 5 = 13

13 = 13

We get the same thing on both sides, so the last equation is true. This means the first equation is true when (x,y) = (2,5). This confirms the point (2,5) is on the line and helps confirm the answer.

Answer:

6 and -3

Step-by-step explanation:

6 times -3 equals -18 because a positive times a negative equals a negative. 6 plus -3 equals 3, remember that a positive plus a negative can be rewritten as subtraction. So 6+(-3)=6-3, which equals 3.

Answer:

Step-by-step explanation:

1). (40, 60)

m = 2

y - 60 = 2( x - 40 )

2). (5, - 1)

m = - 3

y - ( - 1) = - 3( x - 5 )

3). m = 2

y - 1 = 2( x + 2 )

y = 2x + 5

Answer:

588 cm²

Step-by-step explanation:

24 × 7 + 30 × 7 + 2(24 × 18) + 18 × 7 = 7(24 + 30 + 18) + 2 × 42 = 7 × 72 + 84 = 504 + 84 = 588 cm²

Answer:

60

Step-by-step explanation:

if we simplify 96/72 we get 4/3

now we can use it for n and 80 we know that 80 is the longer one so 4 is 80 in this case, now 80/4 equals 20, 3 x 20 = 60

Answer: the correct answer was- A binomial cumulative distribution function should be used because the question asks for determining the probability that at least five students have blonde hair.

i got this question right

Step-by-step explanation:

Answer:

both people actually did the same work

Step-by-step explanation:

Work = Force × Distance

The person that climbed the steep spiral staircase used more force but covered a shorter distance. On the other hand, the person that walked up a gentle ramp used less force but covered a longer distance. Since both people reached the same height, the force against gravity was the same.  

Based on the information given, the person that will do more work is the young person.

From the information given, it was stated that two people climbed to the roof of a building. The old person walked up a gentle ramp while the young person climbed up a steep spiral staircase.

In this case, since the young person climbed up a steep spiral staircase, the young person will do more work.

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Answer:

The proportional relationship is + 1.50 with each toppings. The cost for 6 toppings is $17.99.

Step-by-step explanation:

11.99 to 13.49 is + 1.50, 13.49 to 14.99 is + 1.50, and so on.

Part (A)

The input variable is the shoe size because it is along the horizontal axis, or x axis. It's not clear what the units for the shoe size are, but it's possible the units are in inches.

The output variable is the y value, which in this case is the height. The units for the height is in inches.

====================================================

Part (B)

We have a positive trend. We determine this visually by noting the regression line, or trend line, is going upward as we move from left to right.

Algebraically, the equation for the trend line has a positive slope, which leads to a positive trend.

A positive trend is where x and y increase together. As shoe size goes up, height goes up as well.

While not all the points are on the line, there is a tendency for the points to go uphill as we move from left to right.

As for the strength of the correlation, that part is subjective. If we knew the correlation coefficient r, then we could be more certain; however, we don't know this value. So instead we have to eyeball the given graph and give an estimate. Based on the graph, I'd say there's a moderate positive correlation going on. It's somewhere in the middle of weak and strong positive correlation because the data points are somewhat scattered randomly, but they trend upward nonetheless.

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Part (C)

The rate of change is the slope. The slope is the coefficient of the independent variable x. In this problem, the slope is 1.728

So the rate of change is 1.728 inches per shoe size.

In other words, as the shoe size increases by 1 unit (1 inch perhaps?), the height will increase by roughly 1.728 inches.

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Extra info:

The equation

Height = 51.46 + 1.728(Shoe Size)

is the same as

y = 51.46 + 1.728x

where x is the shoe size and y is the height

We can rearrange that into

y = 1.728x + 51.46

So that it matches with the familiar y = mx+b slope intercept form. This is optional.

Answer:

8/9 + 1/6 = 1 1/18

Step-by-step explanation:

1. Multiply both the numerator and denominator of each fraction by the number that makes its denominator equal the LCD. This is basically multiplying each fraction by 1.

8/9*2/2 + 1/6*3/3 = ?

2. Complete the multiplication and the equation becomes 16/18 + 3/18.

3. 16/18+3/18 = 19/18 = 1 1/18

Answer:

GO SEARCH MATH_WAY its a math calculator gives you  

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

Fractions are decay expressions so if we are multiplying by a fraction we will get less of an amount.