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4 years ago

What is the equation of a line that passes through the point (5, −4) and is parallel to the line whose equation is 2x + 5y = 10?

Mathematics

1 answer:

3241004551 [841]4 years ago

7 0

Rewrite the given equation in slope intercept form:

5 y = 10 – 2 x

y = - 0.4 x + 2

Since the two lines are parallel, therefore they have similar slope which is – 0.4, so the equation is:

y = - 0.4 x + b

Given that x = 5, y = -4, find for b:

-4 = - 0.4 (5) + b

b = -2

So the answer is:

y = - 0.4 x – 2

2 x + 5 y = - 10

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Plz help me I really need it

Furkat [3]

Answer:

Step-by-step explanation: 2= 41/7 3= 37/9 4= 62/7

6 0

3 years ago

Read 2 more answers

Advandia is a drug used to treat diabetes, but it may cause an increase in heart attacks among a population already susceptible.

sergiy2304 [10]

Answer:

a) The proportions are not form matched-pairs data.

b) The null hypothesis failed to be rejected.

There is not enough evidence to support the claim that there is evidence of a significant increase in the proportion of people who suffer heart attacks when using Avandia compared to other treatments.

Step-by-step explanation:

a) Two data sets are "paired" when the following one-to-one relationship exists between values in the two data sets:

Each data set has the same number of data points.

Each data point in one data set is related to one, and only one, data point in the other data set.

None of this conditions apply in this case, so the proportions are not form matched-pairs data.

b) This is a hypothesis test for the difference between proportions.

The claim is that there is evidence to suggest that there is a significant increase in the proportion of people who suffer heart attacks when using Avandia compared to other treatments.

Then, the null and alternative hypothesis are:

$H_0: \pi_1-\pi_2=0\\\\H_a:\pi_1-\pi_2> 0$

The significance level is 0.05.

The sample 1 (Avindia treatment), of size n1=1456 has a proportion of p1=0.0185.

$p_1=X_1/n_1=27/1456=0.0185$

The sample 2 (other treatment), of size n2=2895 has a proportion of p2=0.0142.

$p_2=X_2/n_2=41/2895=0.0142$

The difference between proportions is (p1-p2)=0.0044.

$p_d=p_1-p_2=0.0185-0.0142=0.0044$

The pooled proportion, needed to calculate the standard error, is:

$p=\dfrac{X_1+X_2}{n_1+n_2}=\dfrac{27+41}{1456+2895}=\dfrac{68}{4351}=0.0156$

The estimated standard error of the difference between means is computed using the formula:

$s_{p1-p2}=\sqrt{\dfrac{p(1-p)}{n_1}+\dfrac{p(1-p)}{n_2}}=\sqrt{\dfrac{0.0156*0.9844}{1456}+\dfrac{0.0156*0.9844}{2895}}\\\\\\s_{p1-p2}=\sqrt{0.00001+0.00001}=\sqrt{0.00002}=0.004$

Then, we can calculate the z-statistic as:

$z=\dfrac{p_d-(\pi_1-\pi_2)}{s_{p1-p2}}=\dfrac{0.0044-0}{0.004}=\dfrac{0.0044}{0.004}=1.1$

This test is a right-tailed test, so the P-value for this test is calculated as (using a z-table):

$P-value=P(z>1.1)=0.1358$

As the P-value (0.1358) is bigger than the significance level (0.05), the effect is not significant.

The null hypothesis failed to be rejected.

There is not enough evidence to support the claim that there is evidence to suggest that there is a significant increase in the proportion of people who suffer heart attacks when using Avandia compared to other treatments.

8 0

4 years ago

Read 2 more answers

12.65-(-6)(0.2)+1=? Please help i just need the work but im so lost help me.

s344n2d4d5 [400]

Answer:

14.85

Step-by-step explanation:

The two negatives at the beginning cancel eachother out so it becomes 12.65 +6 but first you have to multiply the 6 by 0.2 which you get 1.2 and you add 1 and get 14.85

^^^^^^^^^^^

12.65+1.2+1

5 0

3 years ago

Solve for x. a=1/2h(b x)

fredd [130]

A = 1/2 h(b + x)
2a = h(b + x)
2a/h = b + x
x = 2a/h - b

5 0

4 years ago

What’s 2x+4 equal because I’ve been thinking what it was

irga5000 [103]

Hope this will help u....