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3 years ago

What is the measure of

Mathematics

1 answer:

Novosadov [1.4K]3 years ago

3 0

Answer:

Step-by-step explanation:

From your choices, it looks like you want m<A

Solution

<C = 46° The triangle is isosceles. The two marked sides are equal.

<A + <B + <C = 180l All triangles have interior angles = 180

<A + 46 + 46 = 180 Combine

<A + 92 = 180 Subtract 92

<A = 180 - 92

<A = 88

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At a college the scores on the chemistry final exam are approximately normally distributed, with a mean of 77 and a standard dev

lbvjy [14]

Answer:

Student do better in Chemistry subject.

Step-by-step explanation:

We are given that at a college the scores on the chemistry final exam are approximately normally distributed, with a mean of 77 and a standard deviation of 10. The scores on the calculus final are also approximately normally distributed, with a mean of 83 and a standard deviation of 14.

A student scored 81 on the chemistry final and 81 on the calculus final.

And we have to find that in which subject did the student do better.

Firstly, Let X = scores on the chemistry final exam

So, X ~ N( $\mu=77,\sigma^{2} = 10^{2}$ )

Also, let Y = scores on the calculus final exam

So, Y ~ N( $\mu=83,\sigma^{2} = 14^{2}$ )

For finding in which subject did the student do better, we will find the z score for both the exams of student because the higher the z score, the better is the student perform in that exam.

The z-score probability distribution is given by;

Z = $\frac{X-\mu}{\sigma}$ ~ N(0,1)

where, $\mu$ = mean score for respective subjects

$\sigma$ = standard deviation

The z-score of Chemistry final exam is calculated as;

Since we are given the student score of 81 on the chemistry final exam,

So, z-score = $\frac{81-77}{10}$ = 0.4 {where $\mu=77$ and $\sigma =10$ }

The z-score of Calculus final exam is calculated as;

Since we are given the student score of 81 on the calculus final exam,

So, z-score = $\frac{81-83}{14}$ = -0.143 {where $\mu=83$ and $\sigma =14$ }

AS we can clearly see that the z score of Chemistry final exam is higher than that of Calculus exam so the student do better in Chemistry subject exam.

7 0

4 years ago

Now convert 3/8 to a decimal number by completing the long division. Remember to add 0s to the dividend as you work. Divide thro

VMariaS [17]

Answer:

you feel happy with the process on the long division page you can skip the first bit.

divide step 1 4 ÷ 25 = 0 remainder 4 The first number of the dividend is divided by the divisor.

divide step 2 The whole number result is placed at the top. Any remainders are ignored at this point.

divide step 3 25 × 0 = 0 The answer from the first operation is multiplied by the divisor. The result is placed under the number divided into.

divide step 4 4 − 0 = 4 Now we take away the bottom number from the top number.

divide step 5 Bring down the next number of the dividend.

divide step 6 43 ÷ 25 = 1 remainder 18 Divide this number by the divisor.

divide step 7 The whole number result is placed at the top. Any remainders are ignored at this point.

divide step 8 25 × 1 = 25 The answer from the above operation is multiplied by the divisor. The result is placed under the last number divided into.

divide step 9 43 − 25 = 18 Now we take away the bottom number from the top number.

divide step 10 Bring down the next number of the dividend.

divide step 11 185 ÷ 25 = 7 remainder 10 Divide this number by the divisor.

divide step 12 The whole number result is placed at the top. Any remainders are ignored at this point.

divide step 13 25 × 7 = 175 The answer from the above operation is multiplied by the divisor. The result is placed under the number divided into.

divide step 14 185 − 175 = 10 Now we take away the bottom number from the top number.

divide step 15 Now we have reached the end of the whole numbers we add a decimal place and the first zero. Notice the decimal point which has appeared on the answer line and by the dividend. It does not appear anywhere else.

divide step 16 Bring down the next number of the dividend.

divide step 17 100 ÷ 25 = 4 remainder 0 Divide this number by the divisor.

divide step 18 The whole number result is placed at the top. Any remainders are ignored at this point.

divide step 19 25 × 4 = 100 The answer from the above operation is multiplied by the divisor. The result is placed under the number divided into.

divide step 20 100 − 100 = 0 Now we take away the bottom number from the top number.

divide step 21

The subtraction has given zero. We stop when this happens. The answer is 17.4

As long as the subtraction gives a number above zero the long division can carry on to as many decimal places as we wish.

Answer: 435 ÷ 25 = 17.4 FOLLOW ME

6 0

3 years ago

function a and function b are linear functions. function a is represented by the table values. function b is represented by the

Kryger [21]

The y-intercept of B is greater than the y-intercept of A and the rate of change of function A is less than the rate of change of B

<h3>Linear functions </h3>

The standard linear equation is expressed as y = mx + b

For the given table;

The y-intercept occur at x = 0

y = 3x + 4

y = 3(0) + 4

y = 4

For the table;

Using the coordinate points (1, 2) and (3,10)

rate of change "m" = 10-2/3-1
m = 8/2

m = 4

Recall that y = mx + b

2 = 4(1) + b

b = -2

Hence the y-intercept of B is greater than the y-intercept of A and the rate of change of function A is less than the rate of change of B.

Learn more on intercept here: brainly.com/question/25722412

7 0

3 years ago

Find the scale factor from polygon ll to polygon lin the following figures. 9 150° 150° 3 6 6 2150° 150° 2 60° I 60° 60° II 60°

sp2606 [1]

Remember, SF= new/old. On shape 2, the side with the length 3 corresponds to the length of 9 on shape 1. (SF=3/9)=0.3333333....

7 0

3 years ago

Find the value of x.

RUDIKE [14]

Answer:

80°

Step-by-step explanation:

42° + 58° + x = 180° [Angle sum property of triangle]

=> 100 + x = 180

=> x = 180 - 100

=> x = 80 (Ans)

3 0

3 years ago

Read 2 more answers