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3 years ago

I need help with this asap! i will give brainliest!!

Mathematics

2 answers:

oee [108]3 years ago

4 0

Answer:

Step-by-step explanation:

Angle on a straight line = 180

106 + ∠st = 180

∠st = 180 - 106 = 74

x = ∠st + 23

= 74 + 23

= 97

rusak2 [61]3 years ago

4 0

Answer:

51 degrees

Step-by-step explanation:

This is a scalene triangle. Which means it sums up to 180 degrees. Therefore, you have to add up all the degrees to 180. 106+23 is 129, and 180 - 129 is 51.

You might be interested in

An experiment repeated 5 times is more reliable than an experimment repeated 20 times

shutvik [7]

Answer:

The given statement is false

Step-by-step explanation:

Given that an experiment repeated 5 times is more reliable than an experiment repeated 20 times.

The statement is false.

Any result found by way of experiment will be more reliable if more number of trials are done.

For example, consider toss of a coin. If we try for 2 times, we may get prob for head as 0 sometimes 1/2 or sometimes 1. This is because 2 is very short number of trials to decide. But when you increase to 10, you may get more reliable. SO if number of repititions increase, the more reliable the results would be.

8 0

4 years ago

We learned in Exercise 4.18 that about 90% of American adults had chickenpox before adulthood. We now consider a random sample o

liraira [26]

Answer:

a) 108 people with a standard deviation of 3.286335

b) No

c) 0.218163 or around 21.82%

d) See explanation below.

Step-by-step explanation:

This situation can be modeled with the Binomial Distribution which gives the probability of an event that occurs exactly k times out of n, and is given by

$\large P(k;n)=\binom{n}{k}p^kq^{n-k}$

where

$\large \binom{n}{k}$ = combination of n elements taken k at a time.

p = probability that the event (“success”) occurs once

q = 1-p

In this case, the event “success” is finding an American adult who had chickenpox before adulthood with probability p=0.9

and n=120 American adults in the sample.

The standard deviation for this binomial distribution is

$\large s=\sqrt{npq}$

where n is the sample size 120

We consider a random sample of 120 American adults. How many people in this sample would you expect to have had chickenpox in their childhood?

If about 90% of American adults had chickenpox before adulthood, we expect to find 90% of 120 = 0.9*120=108 people in the sample who had chickenpox in their childhood.

The standard deviation would be

$\large s=\sqrt{120*0.9*0.1=3.286335}$

Would you be surprised if there were 105 people who have had chickenpox in their childhood?

No, because 105 and 108 are in the interval [mean - s, mean +s]

What is the probability that 105 or fewer people in this sample have had chickenpox in their childhood?

The probability that 105 or fewer people in this sample have had chickenpox in their childhood is

$\large \sum_{k=0}^{105}\binom{120}{k}0.9^k0.1^{120-k}$

We compute this value easily with a spreadsheet and we get

$\large \sum_{k=0}^{105}\binom{120}{k}0.9^k0.1^{120-k}=0.218163\approx 21.82\%$

How does this probability relate to your answer to part (b)?

A binomial distribution with np>5 and nq>5 with n the sample size as is the case here, behaves pretty much like a Normal distribution with mean np and standard deviation $\large \sqrt{npq}$ , so around 60% of the data are in the interval [mean -s, mean +s] and 40% outside, so roughly 20% of the data should be in [0, mean-s]

4 0

3 years ago

- ( x - 1 ) = -4x - 2

7nadin3 [17]

Answer:

x=-1

Step-by-step explanation:

1. Remove the parenthesis

-x + 1 = -4x - 2

2. Get x alone

-x + 1 = -4x - 2

+1x +1x

1=-3x - 2

+2 +2

3=-3x -3x/-3= x 3/-3 = -1

x=-1

3 0

3 years ago

Mating eagle pairs typically have two baby eagles (called eaglets). When there are two eaglets, the parents always feed the olde

My name is Ann [436]

Answer:

C. x 0 1 2 p(x) 0.35 0.60 0.05

Step-by-step explanation:

50% chance of survival

Let:

x = older eaglet survive

y = younger eaglet survive

Hence,

P(x = 0) (none of the eaglet survive)

P(x = 1) (only one survive)

P(x = 2) (both survive)

P(x) = 0.5

P(x') = 1 - 0.5 = 0.5

P(x n y) = 0.5 * 0.1 = 0.05 ( both survive)

P(only one survive)

P(y n x') + p(y' n x)

(0.5 * 0.3) + (0.5 * (1 - 0.1))

0.15 + 0.45 = 0.6

P(none survives)

1 - (0.60 + 0.05)

= 0.35

X _______ 0 ______ 1 ______ 2

P(x) ____ 0.35 ____ 0.60 ___ 0.05

5 0

3 years ago

No one is answering i posted this question 2 times, this is my 3rd time please answer.

Dahasolnce [82]

Answer:

Step-by-step explanation:

First, fill in 3 boxes of the table using the given information (blue numbers on the attached table)

"Of the 32 students that have a cell phone, 19 students do not have a tablet."

The top row of the table is students who have a cell phone. Therefore, place 19 in the box in this row that is in the "no tablet" column.

"Of the 70 students that have a tablet, 57 students do not have a cell phone."

The first column of the table is students who have a tablet. Therefore, place 57 in the box in the 2nd row of this column.

"11 students do not have a cell phone or a tablet."

Find the "no cell phone" row and the "no tablet" column and place 11 in the box that coincides.

We can calculate the blank totals using addition (shown by green numbers on the attached table)

Total students with no cell phone = 57 + 11 = 68
Total students with no tablet = 19 + 11 = 30

To calculate the number of students who have a cell phone AND a tablet:

⇒ Total students with a cell phone minus students with a cell phone but no tablet

⇒ 32 - 19 = 13

4 0

2 years ago