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tresset_1 [31]
3 years ago
5

Can u please answer this question ASAP

Mathematics
1 answer:
REY [17]3 years ago
4 0
Set both y’s equal to each other.

2x-1 = 3x+4
2x-3x = 4-(-1)
-x = 5
x = -5

Plug x = -5 into any of the given equation. I will use the first one as an example.

y = 2x-1
y = 2(-5)-1
y = -11

Answer: (-5, -11)
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Men consume on average 15 grams of protein a day. Assume a normal distribution with a standard deviation of 3 grams. A sample of
tatyana61 [14]

Using the normal distribution, there is a 0.4826 = 48.26% probability that the sample mean is between 15 and 16 grams per day.

<h3>Normal Probability Distribution</h3>

The z-score of a measure X of a normally distributed variable with mean \mu and standard deviation \sigma is given by:

Z = \frac{X - \mu}{\sigma}

  • The z-score measures how many standard deviations the measure is above or below the mean.
  • Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.
  • By the Central Limit Theorem, the sampling distribution of sample means of size n has standard deviation s = \frac{\sigma}{\sqrt{n}}.

For this problem, the parameters are given as follows:

\mu = 15, \sigma = 3, n = 40, s = \frac{3}{\sqrt{40}} = 0.4743

The probability is the <u>p-value of Z when X = 16 subtracted by the p-value of Z when X = 15</u>, hence:

X = 16:

Z = \frac{X - \mu}{\sigma}

By the Central Limit Theorem

Z = \frac{X - \mu}{s}

Z = \frac{16 - 15}{0.4743}

Z = 2.11

Z = 2.11 has a p-value of 0.9826.

X = 15:

Z = \frac{X - \mu}{s}

Z = \frac{15 - 15}{0.4743}

Z = 0

Z = 0 has a p-value of 0.5.

0.9826 - 0.5 = 0.4826 = 48.26% probability that the sample mean is between 15 and 16 grams per day.

More can be learned about the normal distribution at brainly.com/question/15181104

#SPJ1

4 0
2 years ago
Write answer as x=<br><br> x-21=99
murzikaleks [220]
X=120
This is the answer because 120-21=99
7 0
3 years ago
Read 2 more answers
Determine if the following graph is a function
sweet [91]

9514 1404 393

Answer:

  yes, it is a function

Step-by-step explanation:

A graph represents a functional relationship if no vertical line intersects the graph in more than one point. A horizontal line passes this "vertical line test," so represents a function.

8 0
3 years ago
Read 2 more answers
22% of the customers visiting the suit department of a certain store will purchase a suit, 30% will purchase a shirt and 28% wil
Ulleksa [173]

Answer:

If there are 1000 customers in the store one week, how many will purchase exactly one of these items

1000 CUSTOMERS*28%=280

Step-by-step explanation:

A The event that a persons buys a suit  

B The event that a person buys a shirt  

C The event that a person buys a tie  

 

P(A)=  22%

P(B)=  30%

P(C)=  28%

P(AB)= 11%

P(AC)= 14%

P(BC)= 10%

P(ABC)= 6%

A u B u C Is the event that any item is bougth

AC u AC u BC Is the event that any two events occured

So the wanted probability is

P[(A u B u C )(AB u AC u BC)^c

P[(A u B u C )=P(AB)+ P(BC)+P(BC)

P[(A u B u C ) =0.22+0.30+0.28-0.11-0.14.-0.10+0.06

                      =0,51

0,51=+0,23+P[(A u B u C )(AB u AC u BC)^c

        =0,28

1000 CUSTOMERS*28%=280

6 0
3 years ago
Margo sold 3 times as many pears as apples in a week. She sold 3,456 apples and pears. How many pears did she sell? Use a letter
klasskru [66]

She sold 2592 pears. If 2592/3=864 then when the total of pears and apples are added it should equal 3,456

2592+864=3456

7 0
3 years ago
Read 2 more answers
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