You supervise a team of seven workers. You record the number of team members who reach
their production goal each day. For the past week, you record the following data: Monday 5
team members reached their goal; Tuesday 4 team members reached their goal; Wednesday 2
team members reached their goal; Thursday 7 team members reach their goal; Friday 3 team
members reached their goal. What was the average number of team members who reached
their goal per day?

Answers

Answer 1

Answer:

4.2 team members per day

Step-by-step explanation:

5 + 4 + 2 + 7 + 3 = 21

21/5 = 4.2

Answer 2

An average is the arithmetic mean of a set of observations. The average number of team members who reached their goal per day is 4.2.

What is Mean?

An average is the arithmetic mean of a set of observations. it is given by the formula,

[tex]\rm Average=\dfrac{\text{Sum of All the workers of reached their goal}}{\text{Number of working days}}[/tex]

As it is given that the Number of team members that reach their goal on the weekdays Monday, Tuesday, Wednesday, Thursday, and Friday are 5, 4, 2, 7, and 3 respectively. Therefore, the average number of team members who reached their goal per day can be written as,

[tex]\rm Average=\dfrac{\text{Sum of All the workers of reached their goal}}{\text{Number of working days}}\\\\\\Average = \dfrac{5+4+2+7+3}{5} = \dfrac{21}{5}=4.2[/tex]

Thus, the average number of team members who reached their goal per day is 4.2.

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Related Questions

What is the correct answer I need help

Answers

Answer:

A

Step-by-step explanation:

do the exponents. (5 times 5)

then multiply 2 x 25

Answer:

the answer is A. 2 * 5^2

Step-by-step explanation:

Because 5^2 really means 5 * 5 which is 25 * 2 is 50

Hope this helps

The equation of the regression line is written below, where y represents the predicted change in sea level and t represents the years since 1993 .
y = 0 + 3.2t
Identify the y -intercept of the regression line and explain what it represents in the context of the data.

Answers

Answer: im guessing  68.50 kg (y = –133.18 + 115.91 × 1.74 m).

Step-by-step explanation:

Find the circumference and area of the circle. Use 3.14 for A. Round to the nearest hundredth if necessary.
12 m
.
The circumference of the circle is about
m.
The area of the circle is about
m?

Answers

Answer:

area= 452.39

circumference= 75.40

Step-by-step explanation:

circumference is equal to 2 * pi * r

area is equal to pi * r^2

circumference = 2 * pi * 12 = 75.40

area = pi * 12^2 = 452.39

hope this helps!

Joel throws a six-sided dice and a six-sided dice at the same time and multiplies the scores.

The sample space diagram below shows all the possible outcomes.

1 2 3 4 5 6
1 1 2 3 4 5 6
2 2 4 6 8 10 12
3 3 6 9 12 15 18
4 4 8 12 16 20 24
5 5 10 15 20 25 30
6 6 12 18 24 30 36
Find the probability that Joel gets a number equal to 20.

Answers

Answer:

abc def ghi jkl mno pqr Stu vwx yz

Determine the solution set of x(squared) + 9x + 20 = 0 by factoring.

Answers

Answer:

[tex]x=-4,\:x=-5[/tex]

Step-by-step explanation:

[tex]x^2+9x+20=0\\\\\mathrm{Solve\:by\:factoring}\\\\\mathrm{Factor\:}x^2+9x+20:\quad \left(x+4\right)\left(x+5\right)\\\\\left(x+4\right)\left(x+5\right)=0\\\\Using\:the\:Zero\:Factor\:Principle:\\\quad\:If}\:ab=0\:\mathrm{then}\:a=0\:\mathrm{or}\:b=0\:\left(\mathrm{or\:both}\:a=0\:\mathrm{and}\:b=0\right)\\\\\mathrm{Solve\:}\:x+4=0:\quad x=-4\\\\\mathrm{Solve\:}\:x+5=0:\quad x=-5\\\\x=-4,\:x=-5[/tex]

Answer:

Factored form: (x+4)(x+5) = 0

x = -5 or -4

Step-by-step explanation:

To factor x^2 + 9x + 20, we need to find 2 numbers that multiply to 20 and add up to 9.

The reason for that is because when you multiply (x+a)(x+b) using FOIL, you will get x^2 + ax + bx + ab.

Anyway, 4 and 5 would satisfy this, because 4+5 = 9 and 4*5 = 20. We can then factor the equation to (x+4)(x+5).

To solve (x+4)(x+5) = 0, we need to make either x+4 = 0 or x+5 = 0. That means x can be either -5 or -4.

Can anyone please help me with this?

Answers

Answer:

7.2

Step-by-step explanation:

Simplify this equation please

Answers

Answer:

[tex]\boxed{2\cos^2\theta}[/tex]

Step-by-step explanation:

[tex]\cot^2\theta \sin^2\theta+\cos^2\theta[/tex]

[tex]\dfrac{1}{\tan^2 \theta} \sin^2\theta+\cos^2\theta[/tex]

[tex]\dfrac{1}{\dfrac{\sin^2\theta}{\cos^2\theta} } \sin^2\theta+\cos^2\theta[/tex]

[tex]\dfrac{\cos^2\theta}{\sin^2\theta } \sin^2\theta+\cos^2\theta[/tex]

[tex]\cos^2\theta+\cos^2\theta[/tex]

[tex]2\cos^2\theta[/tex]

HELPPPPPP PLEASE!!!

Answers

Answer:

6/h = 10/40

Step-by-step explanation:

Answer:

6/h = 10/40

Step-by-step explanation:

b x h = w

10=b

6=h

so its 6/h and 10/40

i think

Ra=5q-ma solve for a

Answers

Answer:

a = 5q/(r + m)

Step-by-step explanation:

ra = 5q - ma

ra + ma = 5q

a(r + m) = 5q

a = 5q/(r + m)

Please mark me the brainliest!?!

Elaine is in London for one day only. She only has time to see two shows of the three shows she likes. The shows are Hamilton, Aladdin and Thriller. She makes her choice of the two shows at random. What is the probability that she sees Aladdin and Thriller?

Answers

Answer:

[tex]\frac 13[/tex]

Step-by-step explanation:

All three shows she likes are Hamilton, Aladdin, and Thriller.

But she can watch only two shows among the three shown.

The possible combination of the shows she can watch are

(Hamilton and Aladdin), (Aladdin and Thriller) and (Hamilton and Thriller).

So, the total number of possible events (available options)= 3.

As we have to determine the probability of watching Aladdin and Thriller, so here Aladdin and Thriller is the favorable event.

So, the number of favorable event=1

Now,

[tex]\text{Probability}=\frac{\text{Total number of possible events}}{\text{Total number of favorable events}}[/tex]

[tex]=\frac{1}{3}[/tex]

Hence, the probability that she sees Aladdin and Thriller is [tex]\frac 1 3[/tex].

A person invests 4500 dollars in a bank. The bank pays 5.75% interest compounded semi-annually. To the nearest tenth of a year, how long must the person leave the money in the bank until it reaches 10000 dollars?

Answers

Answer:

Around 10.6 years

Step-by-step explanation:

5.75% of 4500 is 258.75

then we will need to subtract the current amount from the final amount.

10000-4500=5500

next

5500/258.75=21.256

finally

21.256/2=10.628

The person leaves the money in the bank until it reaches 10000 dollars.

We have given that

A person invests 4500 dollars in a bank.

The bank pays 5.75% interest compounded semi-annually.

Therefore we have,

What is compounded semi-annually?

The principal of a loan or investment at the beginning of the compounding period, in this case, every six months, includes the total interest from each previous period

5.75% of 4500 is 258.75

[tex]=\frac{5.75}{100}\times 4500\\ =258.75[/tex]

Then we will need to subtract the current amount from the final amount.

10000-4500=5500

5500/258.75=21.256

21.256/2=10.628

The person leaves the money in the bank until it reaches 10000 dollars.

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I need help because i hate math and dont understand any of htis

Answers

Answer:

x = 145 degrees

Step-by-step explanation:

In leftmost triangle, missing angle :

= 180 - (90 + 35)

= 55 degrees

Top angle of middle triangle :

= 180 - (60 + 55)

= 180 - 115

= 65 degrees

Bottom angle of middle triangle :

= 180 - (90 + 65)

= 25 degrees

Linear pair

= 180 - 25

=> x = 145 degrees

I need help fast. Its 8th grade math, multiple choice question. (I added photos)

Answers

Answer:

C (5.1 + 2y + 1.2 = -2 + 2y + 8.3)

PLEASE HELP ME!

How much tax is owed or how much refund is expected? Tax due $ 1374 and tax withheld $678.

A. refund $696
B. refund $678
C. tax owed $696
D. tax owed $5678

Answers

Answer:

The answer is C

Step-by-step explanation:

The number of students in chorus increased 25 percent this year. If there are 20 more students in chorus this year than there were last year, how many students are in chorus this year

Answers

Answer:

100

Step-by-step explanation:

if 25% is 20, 20*4=80

80+20=100

2.61 is 5.8% of what number?

Answers

Answer:

45.

Divide 48 by 100 (48/100*)

Then, multiply by the given percentage, 5.8%

→ The formula to find percentage is to divide the found number by 100 and then multiply by the closest given number.

Therefore,the [tex]2.61[/tex] is the [tex]5.8[/tex] % of the number [tex]45.[/tex]

What is the percentage?

A percentage is a number or ratio expressed as a fraction of [tex]100[/tex]. It is often denoted using the percent sign, "%".

As per the given information

Let the number is [tex]x[/tex].

[tex]\frac{2.61}{x}=\frac{5.8}{100}\\\\\\2.61(100)=5.8(x)\\\\\\261=5.8x\\\\\\x=\frac{261}{5.8}\\\\\\x=45[/tex]

Hence, the [tex]2.61[/tex] is the [tex]5.8[/tex] % of the number [tex]45.[/tex]

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-t/4=-3 solve the equation. Check your solution

Answers

Answer:

see below

Step-by-step explanation:

-t/4=-3

Multiply each side by -4

-t/4 *-4=-3*-4

t = 12

Check

-12/4 = -3

-3 = -3

, when substituted for the variable, makes the equation 5 x − 3 = 7 true?

Answers

Answer:

x should equal 2

Step-by-step explanation:

5x2=10

10-3=7

How can you know if this equation is true? 12+38=410=25 1 2 + 3 8 = 4 10 = 2 5 CLEAR CHECK Because 1+3=4 1 + 3 = 4 and 2+8=10 2 + 8 = 10 , this equation must be true. Because 25<12 2 5 < 1 2 , this equation can not be true. This equation must be true, because when you add fractions the sum is always less than 12 1 2 . Because 38<12 3 8 < 1 2 , this equation must be true.

Answers

Given:

The equation is

[tex]\dfrac{1}{2}+\dfrac{3}{8}=\dfrac{4}{10}=\dfrac{2}{5}[/tex]

To find:

Whether the given equation is true or not.

Solution:

In addition of two fractions, we can not add numerator and denominator separately. First we need a common denominator, then we add numerators.

We have,

[tex]\dfrac{1}{2}+\dfrac{3}{8}[/tex]

Taking LCM, we get

[tex]\dfrac{1}{2}+\dfrac{3}{8}=\dfrac{1\times 4+3}{8}[/tex]

[tex]\dfrac{1}{2}+\dfrac{3}{8}=\dfrac{4+3}{8}[/tex]

[tex]\dfrac{1}{2}+\dfrac{3}{8}=\dfrac{7}{8}\neq \dfrac{4}{10}[/tex]

So, the given equation is not true.

Therefore, the correct option is B.

If a function is defined by the equation y=12x−32, which equation defines the inverse of this function?

A. y=2x+3
B. y=2x+32
C. y=2x−3
D. y=2x−32

Answers

Answer:

A. Y=2x+3

Step-by-step explanation:

because im right

If a function is defined by the equation y = 2x−32, the equation that defines the inverse of this function would be: B. y=2x+32

How to determine the inverse

To determine the inverse of the function, we would first replace x with y in the function:

y = 2x - 32

x = 2y - 32

x + 32 = 2y

Divide both sides by 2

x/2 + 32/2 = y

f−1(x) = x/2 + 32/2

The common facot between the denominatoes of the values is 2. So, when expanded, we have;

(x + 32)/2

So, the closest option that represents the inverse is B. y=2x+32.

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Are y'all mad or happy about the time change in some places

Answers

Answer:

Not happy with it! :)

Step-by-step explanation:

I dont get the point. its a pain to change the time on the clock and i hate getting up early!! Not a early lol

Have an amazing day!!

PLEASE RATE!

Hannah competes
in a 10 km run.
She completes
the race in
2 hours.
What was her
average speed?

Answers

Answer:

  5 km/h

Step-by-step explanation:

Speed is the ratio of distance to time. Hannah's speed is ...

  s = d/t

  s = (10 km)/(2 h) = 5 km/h

Her average speed was 5 km per hour.

Xavier bought 6 oranges from a
6
store. If he paid $1.74, how much did
each orange cost?
$[?]
Enter

Answers

Answer:

$0.29

Step-by-step explanation:

1.74 divided by 6

Xavier paid $0.29 for each orange

Which graph shows a line with constant of proportionality of 3/2

Answers

It the option 4 the 3/2

A larger number is five more than twice a smaller number. Their sum is 80. Find the numbers.

Answers

Answer:25 and 55

Step-by-step explanation:

if you double 25 you get 50 add five and you get 55.

55+25=80

Consider the enlargement of the triangle and use the measurements to calculate the scale factor. 2 triangles have corresponding side lengths of 8 centimeters and 64 centimeters. Scale factor =.

Answers

The scale factor is the ratio of the second triangle length to the first triangle length. Then the scale factor is 8.

What is dilation?

Dilation means the changing of the size of the object without changing the shape. The size of the object may be increased or decreased based on the scale factor.

Two triangles have corresponding side lengths of 8 centimeters and 64 centimeters.

Then the scale factor will be

[tex]\rm Scale \ factor = \dfrac{Side \ of \ second \ triangle }{Side \ of \ first \ triangle } \\\\\\Scale \ factor = \dfrac{64}{8}\\\\\\Scale \ factor = 8[/tex]

The scale factor is 8.

More about the dilation link is given below.

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Answer:

The answer is 8:)

Step-by-step explanation:

An object is rotated 180 deg about a center, C, if and only if the two lines intersecting at C that are used for the rotation form a ___ angle.

Answers

Answer:

180°

Step-by-step explanation:

The given information are;

The of the object = 180°

Therefore, a line drawn though the a point on the preimage passing through the center of rotation

A second line is drawn from the center of rotation, towards the direction of the expected location of the image of the chosen point on the preimage which should in this case be 180° and the distance from the location of the point on the image to the given center of rotation should be the same as the distance of the point of the preimage from the given center of rotation.

Answer:90

Step-by-step explanation:

did it

question 6 Which set of coordinates does NOT represent a function?

Answers

Answer:

The first one

Step-by-step explanation:

You can't repeat coords on the x or y coordinate, meaning that the one to the left is wrong because it is the only one that repeats

Answer:

First table

Step-by-step explanation:

How do you figure out if a relation is a function? You could set up the relation as a table of ordered pairs. Then, test to see if each element in the domain(x) is matched with exactly one element in the range(y). If so, you have a function!

Let's try it on the first table; Lucky us! we found it! the value 1 and 2 repeat more than once connecting with with two DIFFERENT y values!

Name two quadrilaterals that have four right angles.

Answers

Answer: Rectangle and square

Step-by-step explanation:

Whats a quadrilateral

Answers

a four sided polygon, 4 edges and 4 corners
A quadrilateral is a four sided polygon, having four edges and four corners.
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