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2 years ago

Solve. 4x+3y=5 2x+3y=1 x=? y=?

Mathematics

1 answer:

klasskru [66]2 years ago

5 0

Answer:

x = 2, and y = -1. Point form: (2, -1)

Step-by-step explanation:

You solve the system of equations, by solving for one variable, and then subsitiute that variable into the other equation.

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-0.75 7/8 and - 5/8 in order from least to greatest

VMariaS [17]

Hello there!

The answer is:
-5/8
-0.75
7/8

5 0

2 years ago

What is the gcf of 42 and,72

Dmitriy789 [7]

The greatest common factor of 42 and 72 is 6.

6 times 7 is 42. 6 times 12 is 72. There is no greater factor for both numbers except for 6.

Hope this helps!

5 0

2 years ago

Read 2 more answers

The sum of two numbers is 10. twice the first number is 4 more than twice the second. what are the two numbers?

Ludmilka [50]

X+ y = 10
2x = 2y+4

2x/2 = 2/2y+4/2
x = y + 2

x+y = 10
y+2+y=10
2y + 2 = 10
2y +2-2 =10-2
2y = 8
2y/2 =8/2
y = 4

x + y =10
x + 4 =10
x +4-4 =10-4
x = 6

Check
2x = 2y +4
2(6) = 2(4) +4
12 = 8+4
12= 12

6 0

3 years ago

There are 2 Senators from each of 50 states. We wish to make a 3-Senator committee in which no two members are from the same sta

Morgarella [4.7K]

Answer:

a) rCn = 1176

b) 2352

Step-by-step explanation:

a)Each committee should be formed with 3 members ( no two members could be of the same state) then

Let´s fix a senator for any of the 50 states so in the new condition we need to combined 49 senators in groups of 2 then

rCn = n! / (n - r )! *r!

rCn = 49!/ (49 - 2)!*2!

rCn = 49*48*47! / 47!*2!

rCn = 49*48 /2

rCn = 1176

So we can choose in 1176 different ways a senator for a given state

b) To answer this question we have to note, that, 1176 is the number of ways a committee can be formed with senators of different sate (taking just one senator for state ) if we have 2 senators we need to multiply that figure by 2.

1176*2 = 2352

6 0

2 years ago

A sample of n = 4 scores is obtained from a population with a mean of 70 and a standard deviation of 8. If the sample mean corre

jeka57 [31]

Answer:

The value of the sample mean is 78.

Step-by-step explanation:

We are given that a sample of n = 4 scores is obtained from a population with a mean of 70 and a standard deviation of 8.

Also, the sample mean corresponds to a z score of 2.00.

Let $\bar X$ = sample mean

The z-score probability distribution for a sample mean is given by;

Z = $\frac{\bar X-\mu}{\frac{\sigma}{\sqrt{n} } }$ ~ N(0,1)

where, $\mu$ = population mean = 70

$\sigma$ = standard deviation = 8

n = sample size = 4

The Z-score measures how many standard deviations the measure is away from the mean. After finding the Z-score, we look at the z-score table and find the p-value (area) associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X.

Now, we are given that the sample mean corresponds to a z score of 2.00 for which we have to find the value of sample mean;

So, z-score formula is given by ;

z-score = $\frac{\bar X-\mu}{\frac{\sigma}{\sqrt{n} } }$ = $\frac{\bar X-70}{\frac{8}{\sqrt{4} } }$

2.00 = $\frac{\bar X-70}{\frac{8}{\sqrt{4} } }$

2.00 = $\frac{\bar X-70}{4 } }$

$\bar X = 70+(2 \times 4)$

$\bar X$ = 70 + 8 = 78

Therefore, the value of the sample mean is 78.

3 0

2 years ago