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DIA [1.3K]
3 years ago
11

74 - x = 98 - 4x please help me find this answer !

Mathematics
1 answer:
Valentin [98]3 years ago
3 0
The answer to the problem is x=8
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Refer to the accompanying technology display. The probabilities in the display were obtained using the values of n equals n=5 an
zubka84 [21]

Answer:

<u><em></em></u>

  • <u><em>Yes, it is reasonable to expect that more than one subject will experience​ headaches</em></u>

Explanation:

Notice that where it says "assume that 55 subjects are randomly selected ..." there is a typo. The correct statement is "assume that 5 subjects are randomly selected ..."

You are given the table with the probability distribution, assuming, correctly, the binomial distribution with n = 5 and p = 0.732.

  • p = 0.732 is the probability of success (an individual experiences headaches).
  • n = 5 is the number of trials (number of subjects in the sample).

The meaning of the table of the distribution probability is:

The probability that 0 subjects experience headaches is 0.0014; the probability that 1 subject experience headaches is 0.0189, and so on.

To answer whether it <em>is reasonable to expect that more than one subject will experience​ headaches</em>, you must find the probability that:

  • X = 2 or X = 3 or X = 4 or X = 5

That is:

  • P(X = 2) + P(X = 3) + P(X = 4) + P(X = 5).

That is also the complement of P(X = 0) or P(X = 1)

  • 1 - P(X = 0) - P(X = 1)

From the table:

  • P(X = 0) = 0.0014
  • P(X = 1) = 0.0189

Hence:

  • 1 - P(X = 0) - P(X = 1) = 1 - 0.0014 - 0.0189 = 0.9797

That is very close to 1; thus, it is highly likely that more than 1 subject will experience headaches.

In conclusion, <em>yes, it is reasonable to expect that more than one subject will experience​ headaches</em>

6 0
3 years ago
Using the Law of sines, in triangle ABC, if measurement of angle B = 105°, b = 23, a = 14, find measurement of angle A
Degger [83]
Check the picture below.

make sure your calculator is in Degree mode.

3 0
3 years ago
Peter works at Silly's and makes $33.19 an hour. He also collects a 5.3% commission on final weekly sales. Last month, he worked
Romashka-Z-Leto [24]

Answer:

$10,318.62

Step-by-step explanation:

We have been given that works at Silly's and makes $33.19 an hour. He also collects a 5.3% commission on final weekly sales. If he works over 40 hours during any week, he earns double his hourly wage.

Peter's hourly charges during 1st and 2nd week would be $33.19 and hourly charges during 3rd and 4th week would be 2 times $33.19.

First of all, we will find total hourly income as:

\text{Total hourly income}=\$33.19(30+40)+2\times \$33.19(49+55)

\text{Total hourly income}=\$33.19(70)+\$66.38(104)

\text{Total hourly income}=\$2323.3+\$6903.52

\text{Total hourly income}=\$9226.82

Now, we will find income from commission on sales as:

\text{Income from commission on sales}=\frac{5.3}{100}(4500+5500+3800+6800)

\text{Income from commission on sales}=0.053(20600)

\text{Income from commission on sales}=1091.8

Peter's total earnings is the last month: \$9226.82+\$1091.8=\$10,318.62

Therefore, Peter's total earnings in last month was $10,318.62.

5 0
3 years ago
HELP I WILL GIVE BRAINLIEST!!
Reika [66]

Answer:

x=40

Step-by-step explanation:

2x+7+x-10+63=180

3x=120

x=40

7 0
3 years ago
Two apples and three peaches cost $1.65. three apples and two peaches cost $1.60. what is the cost of one peach
marta [7]
Apples = $.30
Peaches = $.60

You can get this by setting up a system of equations that looks like this. 

2x + 3y = 1.65
3x + 2y = 1.60

Where x is the amount of apples and y is the number of peaches. Then you can solve using any of the methods (I would suggest elimination for ease). 
7 0
3 years ago
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