AT YOUR NEW JOB AT THE COFFEE
SHOP, YOU SOLD 42 LARGE
COFFEES AND 54 SMALL COFFEES.
WHAT WAS THE RATIO OF LARGE
TO SMALL COFFEES YOU SOLD?

Answer:

x

Step-by-step explanation:

f([tex]f^{-1}[/tex](x))

Lets work the brackets first!

[tex]f^{-1}[/tex](x)

To solve we are going to find the inverse of the function.

[tex]f^{-1}[/tex](x)

f ⇔ y

∴ y = x

Interchange x and y

x = y

Solve for y

y = x

∴ [tex]f^{-1}[/tex](x) = x

Now let's solve the rest of the equation.

f(x) = x

∴ f([tex]f^{-1}[/tex](x)) = x

Answer:

[tex]Range = 85[/tex]

[tex]\sigma = 28.71[/tex]

[tex]Interval = [666.78, 781.62][/tex]

Step-by-step explanation:

Given

The data for 25 undergraduates

Solving (a): Range and Standard deviation

The range is:

[tex]Range = Highest - Least[/tex]

From the dataset:

[tex]Highest = 772[/tex]

[tex]Least = 687[/tex]

So:

[tex]Range = Highest - Least[/tex]

[tex]Range = 772-687[/tex]

[tex]Range = 85[/tex]

The standard deviation is:

[tex]\sigma = \sqrt{\frac{\sum(x - \bar x)^2}{n}}[/tex]

First, calculate the mean

[tex]\bar x = \frac{769 +691 +............+715}{25}[/tex]

[tex]\bar x = \frac{18105}{25}[/tex]

[tex]\bar x = 724.2[/tex]

So, the standard deviation is:

[tex]\sigma = \sqrt{\frac{(769-724.2)^2 +(691-724.2)^2 +(699-724.2)^2 +(730-724.2)^2 +............+(715-724.2)^2}{25}}[/tex]

[tex]\sigma = \sqrt{\frac{20604}{25}}[/tex]

[tex]\sigma = \sqrt{824.16}[/tex]

[tex]\sigma = 28.71[/tex]

Solving (b): The interval of the 95% of the observation.

Using the emperical rule, we have:

[tex]Interval = [\bar x - 2*\sigma, \bar x+ 2*\sigma][/tex]

[tex]Interval = [724.2 - 2*28.71, 724.2 + 2*28.71][/tex]

[tex]Interval = [666.78, 781.62][/tex]

Answer:

a

Step-by-step explanation:

yes

Answer:

D) 1 3/4

Step-by-step explanation:

Answer:

15

Step-by-step explanation:

He could choose 1 & 2, 1 & 3, 1 & 4, 1 & 5, 1 & 6, 2 & 3, 2 & 4, 2 & 5, 2 & 6, 3 & 4, 3 & 5, 3 & 6, 4 & 5, 4 & 6, 5 & 6

Answer:

The first 5 months Paul paid $ 15.50, and in the next 7 months he paid $ 24.

Step-by-step explanation:

Since Paul signs up for a new cell phone plan, and he is offered a discount for the first five months, and after this period, his rate increases by $ 8.50 per month, and his total cost at the end of the year is $ 245.50, and Paul wrote the following equation to represent his plan: 5x + 7 (x + 8.50) = 245.50; To determine the value of X, the following calculation must be performed:

5X + 7 x (X + 8.50) = 245.50

5X + 7X + 59.50 = 245.50

12X + 59.50 = 245.50

12X = 245.50 - 59.50

12X = 186

X = 186/12

X = 15.50

Therefore, the first 5 months Paul paid $ 15.50, and in the next 7 months he paid $ 24.

Given:

The mean and the median of the monthly sales are 130,000 AED and 170,000 AED respectively.

To find:

The distribution of the monthly sales.

Solution:

We know that,

For symmetrical distribution, mean is equal to median.

For positively skewed distribution, mean is greater than median.

For negatively skewed distribution, mean is less than median.

We have,

Mean of the monthly sales =  130,000 AED

Median of the monthly sales = 170,000 AED

Here, Mean is less than the median because 130,000 < 170,000.

Therefore, the distribution is negatively skewed. Hence, the correct option is D.

let x =the number

Step-by-step explanation:

81+x=3x-39

group like terms

81+39=3x-x

120=2x

120/2=2x/2

60=x

therefore x =60

Answer:

60

Step-by-step explanation:

number is represented as x.

81 is added to a number is

81 + x

39 less than three times the number

3x - 39

So

81 + x = 3x - 39

Solve for x.

81 + x = 3x - 39 Add 39 to each side so 39 cancels on the right.

81 + x + 39 = 3x - 39 + 39

81 + x + 39 = 3x

81 + 39 + x = 3x

120 + x = 3x Subtract x from each side.

120 + x - x = 3x - x

120 = 3x - x

120 = 2x    Divide each side by 2

120/2 = 2x/2

120/2 = x

60 = x

9514 1404 393

Answer:

  $250 +HST (HST is undefined here)

Step-by-step explanation:

It seems easiest to convert all linear dimensions to yards. A yard is 3 feet, or 36 inches, so each pad is 1 yard square by 1/9 yard thick. Then the volume of a pad is (1 yd)(1 yd)(1/9 yd) = 1/9 yd³.

The walkway is 12 yards long and 1 yard wide, so will require 12 pads.

The total volume of concrete required for the walkway is ...

  (12 pads)(1/9 yd³/pad) = 12/9 yd³ = 1 1/3 yd³

Only whole cubic yards can be purchased, so 2 are needed.

The cost is ...

  ($125/yd³)(2 yd³) = $250 . . . cost of material for the walkway

__

The HST rate is not given here, so we cannot compute the amount of added tax.

Answer:

..........................................................................................................................................................................

Answer:

um..BG should also be equal to 12 I guess

9514 1404 393

Answer:

  $3,669.23

Step-by-step explanation:

If withdrawals are at the end of the month, the amortization formula works for this, too.

  A = P(r/12)/(1 -(1 +r/12)^(-12t)

where P is the principal invested at rate r for t years.

  A = $500000(0.063/12)/(1 -(1 +0.063/12)^(-12·20)) ≈ $3669.23

Beth can withdraw a monthly payment of $3,669.23 for 20 years.

_____

If the withdrawals are at the beginning of the month, the amount is lower by the monthly interest rate factor. It would be $3650.06.

Answer:

The margin of error is of 20, option B.

Step-by-step explanation:

Confidence interval concepts:

A confidence interval has two bounds, a lower bound and an upper bound.

A confidence interval is symmetric, which means that the point estimate used is the mid point between these two bounds, that is, the mean of the two bounds.

The margin of error is the subtraction between the bounds, divided by 2.

In this question:

Lower bound: 200

Upper bound: 240

Margin of error:

(240 - 200)/2 = 40/2 = 20

The margin of error is of 20, option B.

Answer:

A.) y = -7/4x - 7

Step-by-step explanation:

The line's slope is -7/4 and its y-intercept is located at the point (0, -7).

Answer:

y=-2x+7

Step-by-step explanation:

Hi there!

The form of slope-intercept form is given as y=mx+b, where m is the slope and b is the y intercept

We are given the slope (-2) and a point (3,1)

We can immediately substitute -2 as the slope in the equation

y=-2x+b

Now we need to find b

Because the line will pass through the point (3,1), we can use it to solve for b

Substitute 3 as x and 1 as y

1=-2(3)+b

multiply

1=-6+b

add 6 to both sides to isolate b

7=b

Substitute 7 as b into the equation

The line is y=-2x+7

Hope this helps!

Answer:

Repeated measures(dependent samples t-test).

Step-by-step explanation:

Repeated measures (dependent samples t-test ):-

(Repeated measures dependent sample t-test is a statistical test that is used to found A significant difference in the within-subject design when the same participants go through both the conditions and there are only two conditions. In this scenario there are only two conditions -classical music and country music and every participant is exposed to both making it a dependent sample as the score of one participant on country music corresponds to the score of his on classic music.

Since it has only two variables, ANOVA can't be performed as it is performed to compare the means of more than 2 variables).

Answer:

17x + 2 = 16x+6

17x-16x= 6-2

x=4

Answer:

5.21212121

Step-by-step explanation:

The first thing to keep in mind is that a line is equal to 180. The first thing you sould start off by doing is write 17x+2+16x+6. Then to make it easier combine the like terms. Both combine 17x + 16x to get 33x, and 6 and 2 to get 8. Now the problem should be 33x + 8 = 180. Next we will take away 8 from both sides. This should eliminate 8 for us and give us 33x=180 as our next problem. Finally you will do the opposite of multiplying which is diving. 33 divided by itself gives us 0. So we will divide 172 by 33 to get 5.21212121.

YOU MAY PLUG THIS NUMBER BACK IN TO CHECK YOUR ANSWER.

x = 44°

Step-by-step explanation:

Since AB is a diameter,

arcAC + arcCB = 180

92° + arcCB = 180

or

arcCB = 88°

ArcCB is the intercepted arc and by definition, the inscribed angle x is half the measure of the intercepted arc. Therefore,

x = (1/2)arcCB

= 44°

Answer:

-99

Step-by-step explanation:

Answer:

- 99

Step-by-step explanation:

11 - 11 × 11 + 11

➛ 0 × 11 + 11

➛ - 110 + 11

➛ - 99

Answer:

I put 6/9 even though i know its wrong

Step-by-step explanation:

Answer:

Solution given:

f(x) = x +1 and g(x) = x²,

now

(gºf)(x) =g(fx)=g(x+1)=(x+1)²

B) (gºf)(x) = (x + 1)^2

Answer:

3.00

Step-by-step explanation:

Given that :

Payout(X) : ___ 0 ___ 4 ___ 6 ____ 8 _____ 10

Probability (p(x) 0.5 _ 0.2 __0.15 __0.1 ___ 0.05

Expected value :E(X) = ΣX* p(x)

E(X) = (0*0.5) + (4*0.2) + (6*0.15) + (8*0.1) + (10*0.05)

E(X) = 3

Expected value = 3.00

Answer:

at first put the value of X

after that do the equation.

Step-by-step explanation:

hope it will help you

Answer:

a = 2

Step-by-step explanation:

substitute x with the number 5.

5+8a=25+5a-7a

subtract 5a from both sides

5+3a=25-7a

add 7a to both sides

5+10a = 25

subtract 5 from both sides

10a=20

divide both sides by 10

a = 2

I tried every combination. there seems to be something wrong with the informations you gave.

the second equation contains errors, and none of these 4 points can be solutions to the first equation alone

Answer:

11

Step-by-step explanation:

44 / 11 = 4

33 / 11 = 3

7 strips

Answer:

11

Step-by-step explanation:

bro don't call urself that....

Answer:

20 is it's right answer I think ok

Answer:

Statistical error is the difference between the estimated or approximated value and the true value.  

Two Possible Types of Statistical Error

Type I Errors occur when we reject a null hypothesis that is actually true; the probability of this occurring is denoted by alpha (a).

Type II Errors are when we accept a null hypothesis that is actually false; its probability is called beta (b).

Example

You test whether a new drug intervention can alleviate symptoms of an autoimmune disease.

A Type I error happens when you get false positive results: you conclude that the drug intervention improved symptoms when it actually didn’t. These improvements could have arisen from other random factors or measurement errors.

A Type II error happens when you get false negative results: you conclude that the drug intervention didn’t improve symptoms when it actually did. Your study may have missed key indicators of improvements or attributed any improvements to other factors instead.

Answer:

180-35=145

x=145

*I did not use 180 because the number on the other side is 180 i used it because a straight angle is equal to 180*

Step-by-step explanation:

Answer:

145

Step-by-step explanation:

When you get two lines crossing like this, and one of them is given as in the diagram, then the other one which shares a common ray with it, is the supplement to the given angle.

x = 180 - 35

x = 145.

Hi there!  

»»————-　★　————-««

I believe your answer is:  

-6, -7, -8

[tex]\boxed{x<-5}[/tex]

»»————-　★　————-««  

Here’s why:  

⸻⸻⸻⸻

[tex]\boxed{\text{Solve for 'x':}}\\\\-2x>10\\--------\\\rightarrow\frac{-2x>10}{-2}\\\\\rightarrow\boxed{x<-5}\\\\\text{The inequality sign is flipped because we divided by a negative value.}[/tex]

⸻⸻⸻⸻

⸻⸻⸻⸻

»»————-　★　————-««  

Hope this helps you. I apologize if it’s incorrect.