3/4(1/4x + 8) - (1/2x + 2) = 3/8(4-x) - 1/4x
What is the value of x?

Answer:

3. The number of copies he made is 1.25 standard deviations more than the mean number of copies made by teachers.

Step-by-step explanation:

In statistics, a z-score is measurement that describes a value's relationship to the mean and allows us to compare the value and the mean. It tells us how many standard deviations above or below the population mean.

Mr. Thomas has a z-score of 1.25.

He made 782 copies last week. The statistic this is being compared to is the mean of 550 copies by teachers per week at Lamley High School.

Therefore, the best interpretation is Mr. Thomas made 1.25 standard deviations more than the mean number of copies. The correct answer is choice 3.

Let's make sure the other choices are incorrect.

Answer:

-5<x<9

Step-by-step explanation:

Within a triangle, the greater an angle, the greater the length of opposite side. So, since we know that 42° gives an opposite side of 23, and (3x+15)° gives an opposite side of 21, (3x+15) must be less than 42:

3x+15<42

3x<27

x<9

We also know that the angle (3x+15)° cannot equal zero or less than zero. So find x when 3x+15=0, and note that our value for x must be greater than this:

3x+15=0

3x=-15

x=-5

so, -5<x

Put both parts together to get: -5<x<9

Answer:

median-99

mean-99.1

mode-100

range-7

Step-by-step explanation:

Step-by-step explanation:

25 - ( 9 - 4.3 ) = 25 - 5.3 = 20.7 ●

Answer:

false

Step-by-step explanation:

rewrite this with 4.3 in place of y first

25 - (9 - 4.3) = 20.7

    25 - (4.7) = 20.7

      25 - 4.7 = 20.7

      25 - 4.7 = 20.3

           20.3 ≠ 20.7

false

hope this helped! good luck matey

-cheesetoasty

Answer:

-0.375

Step-by-step explanation:

just convert the expression to get -0.375

hope  this helps

Answer:

The distance between the buildings is:

D = 413.3 ft

Step-by-step explanation:

Ok, here we have two triangle rectangles, such that these triangle rectangles share a common vertex which is Dale.

One of the triangles, let's call it triangle A, has the catheti:

Distance between Dale and Building A = d1

Height of Building A = 464 ft

The other triangle (triangle B) has the catheti:

Distance between Dale and Building B = d2

Height of building B = 321ft

We want to find the distance between the buildings, which is equal to d1 + d2.

Then we want to find d1 and d2.

For triangle A:

We know that the angle at the vertex where Dale is standing, is 75°

Then the adjacent cathetus is d1, and the opposite cathetus is the height of building A.

Remember that:

Tan(θ) = (opposite cathetus)/(adjacent cathetus)

Then:

Tan(75°) = (464 ft)/(d1)

d1 = (464 ft)/(Tan(75°)) = 124.3 ft

Now for triangle B, the angle at the vertex where Dale is standing is 48°.

from this vertex, we have d2 as the adjacent cathetus and the height of build B as the opposite cathetus.

Then:

Tan(48°) = 321ft/d2

d2 = (321ft)/(Tan(48°)) = 289ft

Then the distance between the buildings is:

D = d1 + d2 =  124.3 ft +  289ft = 413.3 ft

Answer:

144x=8.64

This way you can divide by 144 to find how much each individual pencil costs

Step-by-step explanation:

[tex]x < \frac{6}{7} [/tex]

All the fractions which less than (6/7) will be true

The steps of the solution in the above photo

I hope that is useful for you :)

Answer:

1/2 times 1/3

Step-by-step explanation:

Multiply  them and you get 1/6 which is less than 2/7.

Answer:

432

Step-by-step explanation:

Answer: 4032

Step-by-step explanation: 9x4x112 is 4032

i took the test and pls give brainiest

Answer:

Step-by-step explanation:

I can't read the diagram well enough to tell you how exactly this should be done and I've been reprimanded a couple of times for using comments to solve problems, but this much I can tell you.

You need 2 angles

One comes from vertical angles being equal.

the other comes from the other end of the line that is bisected. Be careful to chose this angel. The two angles are equal because the lines are parallel.

Now what you have is ASA which always proves congruency. AAS should never be used if you can avoid it. If you search out AAS on the internet you will find long discussions on why AAS should never be used.

In this case it will work but even if it does, it should be avoided because you may run into questions where there are conditions that make AAS incorrect. Even if you are told it is OK in your lessons, you should not do it.

lecture ends.

Sorry.

Answer:

23 boxes of toys are being stored.

Step-by-step explanation:

There is a fixed cost of $1200 a month for rent and a variable cost of $5 per box of toys that are stored

This means that for x boxes of toys stored, the total cost is of:

[tex]C(x) = 1200 + 5x[/tex]

If the total cost for this month was $1315, how many boxes of toys are being stored?

This is [tex]x[/tex] for which [tex]C(x) = 1315[/tex]. So

[tex]C(x) = 1200 + 5x[/tex]

[tex]1315 = 1200 + 5x[/tex]

[tex]5x = 115[/tex]

[tex]x = \frac{115}{5}[/tex]

[tex]x = 23[/tex]

23 boxes of toys are being stored.

Answer:

20-12=8 the answer is 8 I did the math

Answer:

8 is right

Step-by-step explanation:

because 20-12=8

Answer:

60

Step-by-step explanation:

perimeter (p) = 8 + 17 + 15 = 40

semi-perimeter (s) = p/2 = 20

Area = square root of s(s-a)(s-b)(s-c) where a,b,c are the sides of the triange by Herons formula.

Therefore, area = 20(20-8)(20-15)(20-17) = square root of 3600 = 60

Answer:

distribute

2(w-1)

a(b-c)=ab-ac

(3)(5)+(2)(w)+(2)(−1)

=15+2w+−2

combine like terms

15+2w+−2

=(2w)+(15+−2)

=

Step-by-step explanation:

https://qcv.gg/rXpglU

Answer: C

Step by Step Explanation: The answer is 660

The number of students in the entire body of 1,200 students who are in favor of changing the school colors is, 660

Any relationship that is always in the same ratio and quantity which vary directly with each other is called the proportional.

We have to given that;

The results of a survey show that 20 of 36 students are in favor of the change.

Now, Let number of students in the entire body of 1,200 students who are in favor of changing the school colors is, x

Hence, We can formulate;

⇒ 20 / 36 = x / 1200

⇒ 5 / 9 = x / 1200

⇒ 1200 × 5 / 9 = x

⇒ x = 6000 / 9

⇒ x = 660

Thus, The number of students in the entire body of 1,200 students who are in favor of changing the school colors is, 660

Learn more about the proportion visit:

https://brainly.com/question/1496357

#SPJ2

Answer:

12 yd.

Step-by-step explanation:

Answer:

The answer is 62 degrees

Step-by-step explanation:

I was kind of anticipating this question, given the others you posted. :) It builds on what you learned in the last 2.

Two angles that form a straight line = 180 degrees.

So x + 149 = 180, x = 31.

Now look at the horizontal line that is parallel on top. The corresponding angle for x is the upper left angle.

And the prior example also said that vertical angles/opposite angles are equal. So x = y, so y = 31 also.

The question is what is x + y

31 + 31 = 62

please let me know if you have questions about this.

Answer:

it would be 0.4 to the power (exponent) of 3

Step-by-step explanation:

should the answer be 0.4^3

(hope this helps can i plz have brainlist :D hehe)

Answer:

87.5%

Step-by-step explanation:

Took the k12 math test

A savings account starts with $231 25. After 8 years of continuous compounding at an interest rate of 87.5% the account has $1850.

Compound interest is a method of calculating the interest charge. In other words, it is the addition of interest on interest.

Compound Interest = P(1+r/n)^rt

A savings account starts with $231 25. After 8 years of continuous compounding at an interest rate the account has $1850.

Compound Interest = P(1+r/n)^rt

[tex]\rm 1850 = 231 25 (1 + r/12)^{96}[/tex]

[tex]\rm 1850 = 231 25 (1 + r/12)^{96}\\\rm 1850 /231 25 = (1 + r/12)^{96}[/tex]

r = 87.5%

Thus, the interest rate percentage is 0.87 rate per year.

Learn more about interest;

https://brainly.com/question/4128149

Answer:400 in

Step-by-step explanation:

Answer:

5/6

Step-by-step explanation:

:)

Answer:

d

Step-by-step explanation:

if the taxes raise each year

Answer:

976000

Step-by-step explanation:

Why

Answer:

185

Step-by-step explanation:

first multiply to get 14+3(81-24)

then calculate to get 14+3*57

multiply and get 14+171

the calculate to get your final answer which is 185

Answer:

969

Step-by-step explanation:

4x6+=24

81-24=57

14+3(57)

17(57)

969

Answer:

18.84956, 18.84 if rounded to the nearest hundredth, and 18 if rounded to nearest whole number.

Answer:

Step-by-step explanation:

Answer:

600

Step-by-step explanation:

25x3 (per month) therefore it would be 75 times 8

Answer:

164025

Step-by-step explanation:

Answer:

tsc = 8*1*10 = $80

twc = 8*20*0.0667*12 = $128.06

tc = 80 + 128.06 = $208.06

Step-by-step explanation:

To find the total expected costs for an 8 hour period, first you must find the total service costs (tsc) and the total waiting costs (twc) as the two costs are what make up the total cost (tc).

Total service cost = (the number of channels)(cost per channel)

tsc = m*Cs

There is only 1 employee so the number of channels is 1.

The cost for this channel is $10 per hour, so 10 * 8 hours in the day.

Total waiting cost = (total time spent waiting by all arrivals)(cost of waiting)

twc = (number of arrivals)(average wait per arrival) Cw

The number arrivals is at the rate of 20 per hour.

The average wait per arrival was found as Wq previously.

                 Wq = 20/(30*(30-20)) = 0.0667 hours

The cost of waiting (Cw) is the $12 per hour multiplied by the 8 hour day.

Total Expected Cost for an 8 hour day is the sum of the total service cost plus the total waiting cost.