The number of copies made each week by teachers at Lamley High School follows a bell-shaped distribution with a
mean of 550 copies and a standard deviation of 185 copies. Mr. Thomas made 782 copies last week. His Z-score is
1.25. Which of the following statements best interprets this value?
O Mr. Thomas made 125 more copies, on average, than the mean number of copies of teachers at Lamley High
School.
O The number of copies Mr. Thomas made is 1.25 standard deviations less than the mean number of copies of
teachers at Lamley High School.
O The number of copies Mr. Thomas made is 1.25 standard deviations more than the mean number of copies of
teachers at Lamley High School.
O The number of copies Mr. Thomas made is 1.25 standard deviations less than the median number of copies of
teachers at Lamley High School.
O The number of copies Mr. Thomas made is 1.25 standard deviations more than the median number of copies of
teachers at Lamley High School.

Answer:

.156 kg

Step-by-step explanation:

The conversion from grams to kilograms is kg = g/1000

156/1000 = .156

Answer:

64

Step-by-step explanation:

a² + 2ab + b²

→ Identify the value of a

a = 1

→ Find b using a

-16 ÷ ( 2 × 1 ) = -8

→ Square the b term

( - 8 )² = 64

Answer:

There are thousands of different combinations possible.

Step-by-step explanation:

Answer:

48 ounces.

Step-by-step explanation:

Steps:

Combine the weight of the cats.

12 (assuming it is a typo, 1212 pounds is a pretty big cat!) + 17 = 30 pounds

Convert to ounces.

33 pounds = 528 ounces

30 pounds = 480 ounces

Subtract the two/find the difference.

528 - 480 = 48.

The difference in ounces between Audrey's dog and the combined weights of Drew's cats is 48 ounces.

Answer:

B, C, F

Step-by-step explanation:

7x + 4 - (2x - 5) = 7x - 2x + 4 + 5 or 5x + 9

The solution is, B: 7x + 4 - 2x + 5, C: 7x + 4 + (-2x) - (-5), F: 5x + 9, are the expressions that are equivalent to 7x + 4 - (2x - 5).

Simplify simply means to make it simple. In mathematics, simply or simplification is reducing the expression/fraction/problem in a simpler form. It makes the problem easy with calculations and solving.

here, we have,

given that,

the expression is :

7x + 4 - (2x - 5)

now, we have to simplify this to get the equivalent expressions.

so, we have,

7x + 4 - (2x - 5)

= 7x + 4 - 2x + 5

(Removing the brackets)

=7x + 4+ (-2x) - (-5)

= 7x + (-2x) +4 - (-5)

=5x +4 + 5

= 5x + 9

so, the equivalent expressions are, B,C,F.

Hence, The solution is, B: 7x + 4 - 2x + 5, C: 7x + 4 + (-2x) - (-5), F: 5x + 9, are the expressions that are equivalent to 7x + 4 - (2x - 5).

To learn more on simplification click:

brainly.com/question/28996879

#SPJ3

Answer:

Its D i did this before cause I do i-Ready to! <3

9514 1404 393

Answer:

  n = 8

Step-by-step explanation:

12 = 2² · 3

20! = 2¹⁸ · 3⁸ · [larger primes]

The highest power of 12 that is a factor of 20! is 12^8, limited by the number of factors of 3 there are.

  n = 8

Answer:

n = n

Step-by-step explanation:

explanation is on the top and he/she correct

Answer:

A) The width is 12 cm; the average time is 3 minutes

Step-by-step explanation:

[tex]\frac{5}{3}= \frac{20}{y}[/tex]

Cross multiply.

5 × y = 3 × 20

5y = 60

5y ÷ 5 = 60 ÷ 5

y = 12

The width is 12 cm. Moving onto the time.

[tex]\frac{12}{4} =\frac{y}{1}[/tex]

Cross multiply.

4 × y = 12 × 1

4y = 12

4y ÷ 4 = 12 ÷ 4

y = 3

The time is 3 minutes.

Answer:

answer is d sorry if I'm wrong

Answer:

50% of 108: 54

25% of 108: 27

75% of 108:  81

Step-by-step explanation:

Hope this helps have a nice day

Answer:

50% : 54

25% : 27

75% : 81

Step-by-step explanation:

If you multiply by the decimal version of the precentages, you will get the remaining amount of how much it is. so to find 50% of 108, you do 108 * 0.50 and it will give you the 50% of 108.

Answer: 12 hours

Step-by-step explanation:

Let's set the speed as "s".

Remember that distance = speed * time

So, plugging the numbers given...

7 = s * 8.4

Divide both sides by 8.4

s = 5/6

Now, plug this into the distance = speed * time, with the distance being 10. Set the time as "t"

10 = 5/6 * t

Divide both sides by 5/6

12 = t

So, it would take 12 hours for the snail to crawl 10 miles.

Answer:

C=84

Step-by-step explanation:

Since you use 3 for pi. You plug the radius into the formula. C=2×3x14=84

Answer:

The area of the printed picture is 172.5 square inches.

Step-by-step explanation:

Since a picture is to be printed onto a sheet of paper with dimensions of 81/2 x 11 inches, and a margin of 1 1/2 inches is to be left on all sides of the picture, to determine what is the area of the printed picture the following calculation must be carried out, knowing that the area of a rectangle is equal to the base multiplied by the height:

81/2 = 40.5

1/2 = 0.5

40.5 - 1.5 x 4 = 34.5

11 - 1.5 x 4 = 5

34.5 x 5 = 172.5

Therefore, the area of the printed picture is 172.5 square inches.

Answer: DQQMNGV

Step-by-step explanation: Each letter is shifted two letters to the right on a letter strip (a -> b -> c), so BOOKLET would be DQQMNGV.

Hope this helps!

Answer:

M

Step-by-step explanation:

Answer:

Point M

Step-by-step explanation:

Each line represents 0.05 so M would best represent 1/3

Answer:

♡●●♡♤●■

⊙♡}°♡■♡°€€£●€●●£7●£7{●£6{●€6¥■

Step-by-step explanation:

86{\86{●

Answer: 45

Step-by-step explanation:

Solution for What is 45 percent of 100:

45 percent * 100 =

(45:100)* 100 =

(45* 100):100 =

4500:100 = 45

Now we have: 45 percent of 100 = 45

Question: What is 45 percent of 100?

Percentage solution with steps:

Step 1: Our output value is 100.

Step 2: We represent the unknown value with $x$x​.

Step 3: From step 1 above,$100=100\%$100=100%​.

Step 4: Similarly, $x=45\%$x=45%​.

Step 5: This results in a pair of simple equations:

$100=100\%(1)$100=100%(1)​.

$x=45\%(2)$x=45%(2)​.

Step 6: By dividing equation 1 by equation 2 and noting that both the RHS (right hand side) of both

equations have the same unit (%); we have

$\frac{100}{x}=\frac{100\%}{45\%}$

100

x​=

100%

45%​​

Step 7: Again, the reciprocal of both sides gives 45

$\frac{x}{100}=\frac{45}{100}$

x

100​=

45

100​​

$\Rightarrow x=45$⇒x=45​

Therefore, $45\%$45%​ of $100$100​ is $45$

Answer:

40

Step-by-step explanation:

I like to find common factors.

45% and 18 are both divisible by 9.

so

45% ÷ 9 = 5%

18 ÷ 9 = 2

2 is equal to 5%

100% ÷ 5% = 20

so

20 × 2 = 40

100% = 40.

Answer:

1) Yes

2) Yes

3) Yes

4) No

5) Yes

6) Yes

7) Yes

8) Yes

9) Yes

10) No

Step-by-step explanation:

The triangle inequality theorem states that the length of any 2 sides of a triangle must be greater than the third side of that same triangle.

1) By Inspection, 2 + 10 > 11.

Thus, this set can be lengths of the sides of a triangle

2) 7 + 9 > 10

Yes, this set can be lengths of the sides of a triangle

3) 11 + 7 > 12

Yes, this set can be lengths of the sides of a triangle

4) 11 + 7 < 20

No, this set cannot be lengths of the sides of a triangle

5) 10 + 8 > 13

Yes, this set can be lengths of the sides of a triangle

6) 7 + 2 > 7

Yes, this set can be lengths of the sides of a triangle

7) 5 + 12 > 13

Yes, this set can be lengths of the sides of a triangle

8) 13 + 12 > 18

Yes, this set can be lengths of the sides of a triangle

9) 11 + 3 > 13

Yes, this set can be lengths of the sides of a triangle

10) 12 + 3 < 19

No, this set cannot be lengths of the sides of a triangle

Answer:

I am not sure what you mean but the answer is  

Step-by-step explanation:

1/3 Probability both are red

red picked first:

6/10

red picked second:

5/9 (9 as first red marble not replaced so 5 red marbles remaining and 4 blue marbles still)

6/10 * 5/10 = 1/3

Hope that helps!!

Answer:

Step-by-step explanation:

Answer:

a) 30% probability that it will not be colder today than it was yesterday

b) 90% probability that it will not be warmer today than it was yesterday

Step-by-step explanation:

In this question, we have that:

0.1 = 10% probability it will be warmer today than yesterday.

0.7 = 70% probability it will be colder today than yesterday.

a .What is the probability that it will not be colder today than it was yesterday?

70% probability it will be colder, so 100 - 70 = 30% probability that it will not be colder today than it was yesterday.

b What is the probability that it will not be warmer today than it was yesterday?

10% probability it will be warmer today than yesterday, so 100 - 10 = 90% probability that it will not be warmer today than it was yesterday

Answer:

θ=41.3∘,138.7∘,221.3∘,318.7∘ Explanation: 3sin2θ−10(1−2sin2θ)=0 23sin2θ−10=0 s

Step-by-step explanation:

9514 1404 393

Answer:

  C.  22/7

Step-by-step explanation:

You may be aware that 22/7 is a value used to approximate π almost as often as is 3.14.

__

In case you actually want to carry out the calculations, you have ...

  C = πd

  π = C/d

  π ≈ (60 3/50)/(19 11/100) = (3003/50)/(1911/100) = 6006/1911 = 22/7

  π ≈ 77/(24 1/2) = 77/(49/2) = 22/7

  π ≈ (86 9/10)/(27 13/20) = (869/10)/(553/20) = 1738/553 = 22/7

  π ≈ 99/(31 1/2) = 99/(63/2) = 22/7