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2 years ago

PLEASE HELP ME

Mathematics

1 answer:

Sonbull [250]2 years ago

6 0

Answer:

A coordinate grid is shown from negative 10 to positive 10 on the x axis and also on the y axis. Two lines are shown intersecting on the ordered pair 3, 8.

Step-by-step explanation:

Finding the solution of these 2 equations

y = -2x + 14
y = 2x + 2

Equating them :

-2x + 14 = 2x + 2
2x + 2x = 14 - 2
4x = 12
x = 3

Substitute in a equation to find y :

y = 2(3) + 2
y = 6 + 2
y = 8

The solution is (3, 8).

The 1st explanation is the correct one.

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3 years ago

Cans of wood varnish come in three sizes.

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The cost of 1 liter for the small and medium cans is 4.4 and 2.4.

<h3>What is Unitary method?</h3>

The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.

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Small can: A 200 ml can costs £0.88.

Medium can: A 500 ml can costs £1.32.

Large can: A 1 litre can costs £3.60.

Now, 200 ml = 0.2 l

500 ml = 0.5 l

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2 years ago

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3 years ago

Does a statistics course improve a student's mathematics skills,as measured by a national test? Suppose a random sample of 13 st

viva [34]

Answer:

There is not enough evidence to support the claim that the scores after the stats course are significantly higher than the scores before (the difference in the scores is higher than 0).

P-value=0.042.

Step-by-step explanation:

The question is incomplete:

The data of the scores for each student is:

Before After

430 465

485 475

520 535

360 410

440 425

500 505

425 450

470 480

515 520

430 430

450 460

495 500

540 530

We will generate a sample for the difference of scores (before - after) and test that sample.

The sample of the difference is [35 -10 15 50 -15 5 25 10 5 0 10 5 -10]

This sample, of size n=13, has a mean of 9.615 and a standard deviation of 18.423.

The claim is that the scores after the stats course are significantly higher than the scores before (the difference in the scores is higher than 0).

Then, the null and alternative hypothesis are:

$H_0: \mu=0\\\\H_a:\mu> 0$

The significance level is 0.01.

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

$s_M=\dfrac{s}{\sqrt{n}}=\dfrac{18.423}{\sqrt{13}}=5.11$

Then, we can calculate the t-statistic as:

$t=\dfrac{M-\mu}{s/\sqrt{n}}=\dfrac{9.615-0}{5.11}=\dfrac{9.615}{5.11}=1.882$

The degrees of freedom for this sample size are:

$df=n-1=13-1=12$

This test is a right-tailed test, with 12 degrees of freedom and t=1.882, so the P-value for this test is calculated as (using a t-table):

$P-value=P(t>1.882)=0.042$

As the P-value (0.042) is bigger than the significance level (0.01), the effect is not significant.

The null hypothesis failed to be rejected.

There is not enough evidence to support the claim that the scores after the stats course are significantly higher than the scores before (the difference in the scores is higher than 0).

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3 years ago

Evaluate (2-3)^(4) - 9 = 3. 0-7 0-2 0 1 02

EleoNora [17]

Answer:

Step-by-step explanation:

(2-3)⁴ *4 - 9 + 3 = (-1)⁴ *4 - 9 + 3

= 1*4 - 9 +3

= 4 - 9 + 3

= - 5 + 3

= - 2

6 0

2 years ago

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