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3 years ago

What is the measure of 21? 100° 90° 80° 85° 95%

Mathematics

1 answer:

Scorpion4ik [409]3 years ago

8 0

Answer:

A quadrilateral's interior angles have a sum of 360°.

Given that we have 85°, 100°, and 90°(the right angle), and an unknown angle.

We can add these angles plus the unknown angle to equal a total of 360°.

85 + 100 + 90 + x(our unknown missing angle) = 360

simplify

275 + x = 360

Isolate x by subtract 275 from both sides;

-275 -275

x = 85, ∠1 = 85°

We can also double check:-

85 + 100 + 90 + 85 = 360

360 = 360 which is correct.

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A university found that of its students withdraw without completing the introductory statistics course. Assume that students reg

polet [3.4K]

Answer:

A university found that 30% of its students withdraw without completing the introductory statistics course. Assume that 20 students registered for the course.

a. Compute the probability that 2 or fewer will withdraw (to 4 decimals).

= 0.0355

b. Compute the probability that exactly 4 will withdraw (to 4 decimals).

= 0.1304

c. Compute the probability that more than 3 will withdraw (to 4 decimals).

= 0.8929

d. Compute the expected number of withdrawals.

= 6

Step-by-step explanation:

This is a binomial problem and the formula for binomial is:

$P(X = x) = nCx p^{x} q^{n - x}$

a) Compute the probability that 2 or fewer will withdraw

First we need to determine, given 2 students from the 20. Which is the probability of those 2 to withdraw and all others to complete the course. This is given by:

$P(X = x) = nCx p^{x} q^{n - x}\\P(X = 2) = 20C2(0.3)^2(0.7)^{18}\\P(X = 2) =190 * 0.09 * 0.001628413597\\P(X = 2) = 0.027845872524$

$P(X = x) = nCx p^{x} q^{n - x}\\P(X = 1) = 20C1(0.3)^1(0.7)^{19}\\P(X = 1) =20 * 0.3 * 0.001139889518\\P(X = 1) = 0.006839337111$

$P(X = x) = nCx p^{x} q^{n - x}\\P(X = 0) = 20C0(0.3)^0(0.7)^{20}\\P(X = 0) =1 * 1 * 0.000797922662\\P(X = 0) = 0.000797922662$

Finally, the probability that 2 or fewer students will withdraw is

$P(X = 2) + P(X = 1) + P(X = 0) \\= 0.027845872524 + 0.006839337111 + 0.000797922662\\= 0.035483132297\\= 0.0355$

b) Compute the probability that exactly 4 will withdraw.

$P(X = x) = nCx p^{x} q^{n - x}\\P(X = 4) = 20C4(0.3)^4(0.7)^{16}\\P(X = 4) = 4845 * 0.0081 * 0.003323293056\\P(X = 4) = 0.130420974373\\P(X = 4) = 0.1304$

c) Compute the probability that more than 3 will withdraw

First we will compute the probability that exactly 3 students withdraw, which is given by

$P(X = x) = nCx p^{x} q^{n - x}\\P(X = 3) = 20C3(0.3)^3(0.7)^{17}\\P(X = 3) = 1140 * 0.027 * 0.002326305139\\P(X = 3) = 0.071603672205\\P(X = 3) = 0.0716$

Then, using a) we have that the probability that 3 or fewer students withdraw is 0.0355+0.0716=0.1071. Therefore the probability that more than 3 will withdraw is 1 - 0.1071=0.8929

d) Compute the expected number of withdrawals.

E(X) = 3/10 * 20 = 6

Expected number of withdrawals is the 30% of 20 which is 6.

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4 years ago

Chanasia buys a plastic bucket. The bucket weighs 460 g. The label on the bucket says made with 20% recycled plastic. How many g

Eddi Din [679]

Answer:

Step-by-step explanation:

20% of 460 is 92 so it would be 92

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3 years ago

What is the surface area of the square pyramid?

Marrrta [24]

Answer:

Right square pyramid

Solve for surface area

A=a2+2aa2

4+h2

a Base edge

Enter value

h Height

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3 years ago

PLEASE HELP I WILL MAKE YOU BRAINLIEST IF IT LETS ME NO FAKE LINKS OR YOU WILL BE REPORTED

Kaylis [27]

Answer:

The top left graph

Step-by-step explanation:

All the others are wrong

4 0

3 years ago

Read 2 more answers

Write the equation for the graph below. PLEASE I NEED HELP !

mrs_skeptik [129]

Y= 1x+ 3
1x is the slope and 3 is the y intercept
I did rise over run to find the slope 3/3=1
Y is 3 because y intercept is when a line go through the y axis and it’s on 3
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4 years ago

What is the measure of 21? 100° 90° 80° 85° 95%​

What is the measure of 21? 100° 90° 80° 85° 95%