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3 years ago

Solve the system of equations by substitution.3x+2y=10 y=3x-4x= y=

Mathematics

1 answer:

AfilCa [17]3 years ago

4 0

Answer:

x=2; y=2

Step-by-step explanation:

3x+2y=10

y=3x-4

We can substitute y from the first equation with the second equation:

3x+2(3x-4)=10

3x+6x-8=10

9x=18

x=2

Now plug this in to any of the equations (i used second equation):

y=3(2)-4

y=6-4

y=2

Check your answers:

y=3x-4

2=3(2)-4

2=6-4

2=2

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A survey of 35 people was conducted to compare their self-reported height to their actual height. The difference between reporte

monitta

Answer:

The test statistic is t = 3.36.

Step-by-step explanation:

You're testing the claim that the mean difference is greater than 0.7.

At the null hypothesis, we test if it is 0.7 or less, that is:

$H_0: \mu \leq 0.7$

At the alternate hypothesis, we test if it is greater than 0.7, that is:

$H_1: \mu > 0.7$

The test statistic is:

$t = \frac{X - \mu}{\frac{s}{\sqrt{n}}}$

In which X is the sample mean, $\mu$ is the value tested at the null hypothesis, s is the standard deviation and n is the size of the sample.

0.7 is tested at the null hypothesis:

This means that $\mu = 0.7$

Survey of 35 people. From the sample, the mean difference was 0.95, with a standard deviation of 0.44.

This means that $n = 35, X = 0.95, s = 0.44$

Calculate the test statistic

$t = \frac{X - \mu}{\frac{s}{\sqrt{n}}}$

$t = \frac{0.95 - 0.7}{\frac{0.44}{\sqrt{35}}}$

$t = 3.36$

The test statistic is t = 3.36.

7 0

3 years ago

Evaluate the function when x=1 f(x) = 1/2x -1

lesantik [10]

Answer:

1/2

Step-by-step explanation:

1/2*1*1= 1/2

5 0

3 years ago

Heeelllppppp

Andrei [34K]

Answer:

Hmm. I'm not sure... But I just wanted to say I love your profile picture.

Step-by-step explanation:

8 0

3 years ago

How many 1/5 liter glasses can Lin fill with a 1 1/2 liter bottle of water?

RoseWind [281]

Answer:

The number of 1/5 liter glasses that Lin can fill is $7\frac{1}{2}$

Step-by-step explanation:

we know that

To find out how many 1/5 liter glasses can Lin fill with a 1 1/2 liter bottle of water, divided 1 1/2 by 1/5

$1\frac{1}{2} :\frac{1}{5}$

Convert mixed number to an improper fraction

$1\frac{1}{2}=1+\frac{1}{2}=1\frac{1*2+1}{2}=\frac{3}{2}$

substitute

$\frac{3}{2} :\frac{1}{5}$

Multiply in cross

$\frac{5*3}{2*1}=\frac{15}{2}=7.5$

Convert to mixed number

$7.5=7+\frac{1}{2}=7\frac{1}{2}$

8 0

3 years ago

Masja [62]

Answer:

60 units

Step-by-step explanation:

Ratio of the perimeter = ratio of sides

Sides are in the ratio:

6 : 24

1 : 4

Perimeter of the first triangle:

4+5+6 = 15

Perimeter of the second triangle:

4(15) = 60

6 0

3 years ago

Solve the system of equations by substitution.3x+2y=10 y=3x-4x= y=​

Solve the system of equations by substitution.3x+2y=10 y=3x-4x= y=