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Ilia_Sergeevich [38]

2 years ago

8

Ms. De Leon wants to produce different sets of test questions for her essay test. If she plans to do this by putting together 3

out of 5 questions she prepared, how many different sets of questions could she contruct?
A.10
B. 20
C. 60
D. 80

1 answer:

gladu [14]2 years ago

5 0

The correct answer is b

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Describe and correct the error in finding DC

sleet_krkn [62]

Answer:

DC = 2

Step-by-step explanation:

The wrong equation was used.

The right equation to use based on the midsegment theorem of a trapezoid is:

MN = ½(AB + DC)

MN = 8

AB = 14

Substitute

8 = ½(14 + DC)

Multiply both sides by 2

8*2 = ½(14 + DC)*2

2*8 = 14 + DC

16 = 14 + DC

16 - 14 = 14 + DC - 14

2 = DC

DC = 2

6 0

2 years ago

Find the sum of each series, if it exists<br>91 + 85 + 79 + … + (29)

Natali [406]

Answer:

651.

Step-by-step explanation:

Note: In the given series it should be -29 instead of 29 because 29 cannot be a term of AP whose first term is 91 and common difference is -6.

Consider the given series is

$91+85+79+...+(-29)$

It is the sum of an AP. Here,

First term = 91

Common difference = 85 - 91 = -6

Last term = -29

nth term of an AP is

$a_n=a+(n-1)d$

where, a is first term and d is common difference.

$-29=91+(n-1)(-6)$

$-29-91=(n-1)(-6)$

$\dfrac{-120}{-6}=(n-1)$

$20=(n-1)$

$n=20+1=21$

Sum of AP is

$Sum=\dfrac{n}{2}[\text{First term + Last term}]$

$Sum=\dfrac{21}{2}[91+(-29)]$

$Sum=\dfrac{21}{2}[62]$

$Sum=651$

Therefore, the sum of given series is 651.

5 0

2 years ago

What is the slope of the line that passes through the points (-6, 8)(−6,8) and (-16, 33) ?(−16,33)?HELPPPPP!!!!

Marina CMI [18]

Answer:

It should be -5/2 for the points (-6,8) (-16,33)

Step-by-step explanation:

5 0

3 years ago

In a math class with 29 students, a test was given the same day that an assignment was due. There were 22 students who passed th

Phoenix [80]

4/29 is the probability that a student who did not complete the homework passed the test.

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

It is given that,

There are 29 students in a math class.

Two types of students who passed the test and are not passed the test.

The other two types of students are who completed the assignment and did not complete the assignment.

So, the given data can be formed as a table.

There were 22 students who passed the test.
There were 20 students who completed the assignment.
There were 18 students who passed the test and also completed the assignment.

Passed the test Not passed the test Total

Completed assignment 18 - 20

Not completed assignment x - -

Total 22 - 29

Now, you need to find the probability that a student who did not complete the homework passed the test.

⇒ No.of students completed assignment passed the test / Total students.

<u>To find the no.of students completed assignment passed the test :</u>

Let 'x' is the no.of students completed assignment passed the test.

⇒ 18+x = 22

⇒ x = 22 - 18

⇒ x = 4

∴ P(students completed assignment passed the test) = 4 / 29.

4 0

2 years ago

Use five different colors to paint the four rectangles A, B, C and D shown in the figure. No two rectangles sharing an edge can

GenaCL600 [577]

There are 120 ways to color the 4 rectangles

<h3>How to determine the number of ways?</h3>

The given parameters are:

Paints, n = 5

Rectangles, = 4

The number of ways to color the rectangles is

$Ways = ^nP_r$

This gives

$Ways = ^5P_4$

Apply the permutation formula

$Ways = \frac{5!}{1!}$

Evaluate the expression

Ways = 120

Hence, there are 120 ways to color the 4 rectangles

Read more about permutation at:

brainly.com/question/1216161

#SPJ1

8 0

1 year ago