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kupik [55]
2 years ago
11

Larry claims that (14 + 12) × (8 + 12) and (14 × 12) + (8 × 12) are equivalent because they have the same digits and the same op

erations. Is Larry correct?
Mathematics
1 answer:
DochEvi [55]2 years ago
4 0

Answer:

Larry is wrong

Step-by-step explanation:

Multiplying big numbers will give significantly bigger results then multiplying smaller numbers then adding them. 14 + 12 = 26 & 8 + 12 = 20. 14 x 12 = 68 & 8 x 12 = 96. 96 + 168 is alot less then 26 * 20 so that is why larry is wrong

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MR MARK MARKS HIS CLASS ON A NORMAL CURVE. THOSE WITH z-SCORES ABOVE 1.8 WILL RECEIVE AN A, THOSE
lukranit [14]

Using the normal distribution, it is found that the percentages are given as follows:

  • 3.59% of the grades will be A.
  • 9.98% of the grades will be B.
  • 74.92% of the grades will be C.
  • 8.64% of the grades will be D.
  • 2.87% of the grades will be F.

<h3>Normal Probability Distribution</h3>

The z-score of a measure X of a normally distributed variable with mean \mu and standard deviation \sigma is given by:

Z = \frac{X - \mu}{\sigma}

  • The z-score measures how many standard deviations the measure is above or below the mean.
  • Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.

The prorportion of students who receive an A is <u>one subtracted by the p-value of Z = 1.8</u>.

Looking at the z-table, Z = 1.8 has a p-value of 0.9641.

1 - 0.9641 = 0.0359.

3.59% of the grades will be A.

For B, it is the <u>p-value of Z = 1.8 subtracted by the p-value of Z = 1.1</u>, hence:

0.9641 - 0.8643 = 0.0998.

9.98% of the grades will be B.

For C, it is the <u>p-value of Z = 1.1 subtracted by the p-value of Z = -1.2</u>, hence:

0.8643 - 0.1151 = 0.7492.

74.92% of the grades will be C.

For D, it is the <u>p-value of Z = -1.2 subtracted by the p-value of Z = -1.9</u>, hence:

0.1151 - 0.0287 = 0.0864.

8.64% of the grades will be D.

For F, it is the <u>p-value of Z = -1.9</u>, hence 2.87% of the grades will be F.

More can be learned about the normal distribution at brainly.com/question/15181104

#SPJ1

7 0
1 year ago
What is the equation of a vertical ellipse with a major axis= 20 and a minor axis = 14?​
Sunny_sXe [5.5K]

\bold{\text{Answer:  b.}\quad \dfrac{y^2}{100}+\dfrac{x^2}{49}=1}

<u>Step-by-step explanation:</u>

The ellipse is vertical so y has the biggest radius.

Major axis (y) = 20 so the y-radius is 20/2 = 10

Minor axis (x) = 14 so the x-radius is 14/2 = 7

The equation of an ellipse is:   \dfrac{(x-h)^2}{a^2}+\dfrac{(y-k)^2}{b^2}=1   where

  • (h, k) is the center of the ellipse
  • a is the x-radius
  • b is the y-radius

Given: a = 7, b = 10

Assume: (h, k) = (0, 0)

\dfrac{(x-0)^2}{7^2}+\dfrac{(y-0)^2}{10^2}=1\\\\\\\dfrac{x^2}{49}+\dfrac{y^2}{100}=1\\\\\\\longrightarrow \dfrac{y^2}{100}+\dfrac{x^2}{49}=1

6 0
3 years ago
Determine the measure of angle a. PLEASE HELP ASAP!
wlad13 [49]

Answer:

D

Step-by-step explanation:

Remember that the sum of the interior angles of a triangle will always total 180.

Therefore:

(9x+6)+(74)+(16x)=180\\

Let’s solve for <em>x: </em>

Combine LIke Terms:

(9x+16x)+(74+6)=180

Add:

25x+80=180

Subtract 80 from both sides:

25x=100

Divide both sides by 25:

x=4

Therefore, the value of <em>x </em>is 4.

Now, to find A, we can substitute it for A.

A is measured by:

\angle A=9x+6

Substitute 4 for <em>x</em> and evaluate:

\angle A=9(4)+6=36+6=42\textdegree

Hence, our answer is D.

6 0
3 years ago
C(x)=x^2+6x+14 find vertex form
nalin [4]

Answer:

c(x)=(x+3)^2+5

Step-by-step explanation:

To complete the square, the same value needs to be added to both sides.

So, to complete the square x^2+6x+9=(x+3)^2 add 9 to the expression

C(x) =x^2 +6x + 9 + 14

Since 9 was added to the right-hand side also add 9 to the left-hand side

C(x) +9= x^2 +6x + 9 + 14

Using a^2 + 2ab + b^2=(a+b)^2, factor the expression

C(x)+9= (x+3)^2 +14

Move constant to the right-hand side and change its sign

C(x)=(x+3)^2 +14 - 9

Subtract the numbers

C(x)= (x+3)^2 +5

6 0
3 years ago
What is the value of<br> –4.00<br> –0.25<br> 1.51<br> 2.41
soldier1979 [14.2K]

For this case we must resolve the following expression:log_ {0.5} (16)

We have to:

log_ {a} (x) = \frac {log_ {b} (x)} {log_ {b} (a)}

The base change rule can be used if a and b are greater than 1 and are not equal to x.

We substitute the values in the base change formula, using b = 10

\frac {log (16)} {log (0.5)} = - 4

Answer:

-4

Option A

7 0
3 years ago
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