1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Lynna [10]
3 years ago
5

1) y=7x- 12-3x+4y=2​

Mathematics
1 answer:
ioda3 years ago
8 0

Answer:

x = 2

y = 2

Step-by-step explanation:

Given that:

y=7x- 12  -------- eq1

-3x+4y=2​ ------ eq2

eq1 can be written as:

7x - y = 12

Multiplying this equation by 4 we get:

28x - 4y = 48 --------- eq3

Adding eq2 and eq3 we get:

28x - 3x = 48+ 2

25x = 50

x = 2

Now put this equation in eq1

y = 7(2) - 12

y = 14 - 12

y = 2

i hope it will help you!

You might be interested in
The floor of a room is being covered with tile. An area one half
tangare [24]

Answer:

Only the floor area \frac{3}{8} has been covered

Step-by-step explanation:

Assuming that the floor of the room is rectangular, then its area is equal to the product of its length times its width.

A = lw

Let's now call A 'the area that was covered with tiles.

We know that half the length was covered, then:

l' = \frac{1}{2}l

w' = \frac{3}{4}w

So:

A' = \frac{1}{2}l(\frac{3}{4}w)

A' = \frac{3}{8}lw

Finally:

A' = \frac{3}{8}A


4 0
3 years ago
On a standardized exam, the scores are normally distributed with a mean of 165 and astandard deviation of 40. Find the z-score o
vladimir1956 [14]

The Z-score is calculated by the formula below

\begin{gathered} z-score=\frac{(x-\mu)}{\sigma}_{} \\ \mu=\operatorname{mean} \\ \sigma=s\tan dard\text{ deviation} \\ x=\text{score} \end{gathered}

Step 2: Substitute the given parameters in the formula

\begin{gathered} z-\text{score}=\frac{145-165}{40} \\ Z=-\frac{20}{40} \\ Z=-\frac{1}{2} \\ Z=-0.5 \end{gathered}

Hence, the z-score of a person who scored 145 on the exam is -0.5

8 0
1 year ago
A random sample of n = 45 observations from a quantitative population produced a mean x = 2.5 and a standard deviation s = 0.26.
oee [108]

Answer:

P-value (t=2.58) = 0.0066.

Note: as we are using the sample standard deviation, a t-statistic is appropiate instead os a z-statistic.

As the P-value (0.0066) is smaller than the significance level (0.05), the effect is  significant.

The null hypothesis is rejected.

There is enough evidence to support the claim that the population mean μ exceeds 2.4.

Step-by-step explanation:

This is a hypothesis test for the population mean.

The claim is that the population mean μ exceeds 2.4.

Then, the null and alternative hypothesis are:

H_0: \mu=2.4\\\\H_a:\mu> 2.4

The significance level is 0.05.

The sample has a size n=45.

The sample mean is M=2.5.

As the standard deviation of the population is not known, we estimate it with the sample standard deviation, that has a value of s=0.26.

The estimated standard error of the mean is computed using the formula:

s_M=\dfrac{s}{\sqrt{n}}=\dfrac{0.26}{\sqrt{45}}=0.0388

Then, we can calculate the t-statistic as:

t=\dfrac{M-\mu}{s/\sqrt{n}}=\dfrac{2.5-2.4}{0.0388}=\dfrac{0.1}{0.0388}=2.58

The degrees of freedom for this sample size are:

df=n-1=45-1=44

This test is a right-tailed test, with 44 degrees of freedom and t=2.58, so the P-value for this test is calculated as (using a t-table):

P-value=P(t>2.5801)=0.0066

As the P-value (0.0066) is smaller than the significance level (0.05), the effect is  significant.

The null hypothesis is rejected.

There is enough evidence to support the claim that the population mean μ exceeds 2.4.

7 0
3 years ago
64 is 10 more than wha
Sever21 [200]
It is ten more than 54
7 0
3 years ago
Read 2 more answers
What is the answer and work to 15% of 375
vladimir2022 [97]
15percent = .15
\\.15*375= 15percentof 375
\\\boxed{56.25}
3 0
3 years ago
Other questions:
  • The length of a rectangular swimming pool is 10 feet longer than its width. If the perimeter of the pool is 100 feet, which of t
    13·2 answers
  • The sum of the areas of two circles is 80 pi square meters find the length of the radius of a radius of each circle if one of th
    5·1 answer
  • For the function, f(x) = -5x 2, find f(-4).
    7·1 answer
  • Find the TOTAL surface area.<br> *<br> 41 cm<br> 18 cm<br> 18 cm
    12·1 answer
  • I need help to find x​
    11·1 answer
  • Please help me with this ASAP
    14·1 answer
  • PLEASE HELP, ASAP. I WILL MARK YOU BRAINLIEST‼️
    8·1 answer
  • A bowl of fruit contains 10 oranges, 12 apples, 6 plums, and 2 peaches. If you want to compare the number of apples to oranges w
    13·1 answer
  • I'll give brainliest please help
    5·1 answer
  • What is the reciprocal of 159?
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!