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yulyashka [42]
1 year ago
5

Find the solution to the system of equations. Y=1/2x-1 and x=4

Mathematics
1 answer:
oksano4ka [1.4K]1 year ago
5 0

the point where the two lines intersect will be your answer.

from the photo, your x-coordinate will be 4, and your y-coordinate will be 1. that's where the two lines meet, so that's the solution.

the answer will be (4,1).

i hope i helped! good luck.

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A school has 2 computer labs. Each lab has 30 computers. A total of
Korolek [52]

Answer:

(2*30)-6

Step-by-step explanation:

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3 years ago
Explain how a solution found using substitution can be checked.
DENIUS [597]
A solution can be found using substitution by substituting the ordered pair into both of the original equations.
4 0
3 years ago
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
3 years ago
Read 2 more answers
Que alguien me ayude cuanto hace q yo sali de escuela​
swat32

Answer:

a=20 m²

b=21 cm²

c=36 dm²

Step-by-step explanation:

A) 12²+16²=a²

144+256=a²

400=a²

√400=a

a=20

B) 28²+b²=35²

784+b²=1225

b²=1225-784

b²=441

b=√441

b=21

C) c²+15²=39²

c²+225=1521

c²=1296

c=√1296

c=36

7 0
2 years ago
The temperature of a weather station was 12.8 °F at midnight and fell 1.4 °F each hour for six hours. Which of the following sol
Len [333]

Answer:

Let's try to find a linear relation like:

T(h) = a*h + b

where a is the slope and b is the y-intercept.

h is the number of hours after midnight.

T is the temperature at the time defined by h.

We know that at midnight, the temperature is 12.8°F.

At midnight, we have h = 0, then:

T(0) = a*0 + b = 12.8°F

       b = 12.8°F

Now we know that our function is:

T(h) = a*h + 12.8°F

We also know that the temperature fell 1.4 °F each hour for six hours.

Then the slope will be -1.4°F

We can write the linear relationship as:

T(h) = -1.4°F*h + 12.8°F     (for 0 ≤ h ≤ 6)

Where we have a restriction in the possible values of h, because we know that this model only works for six hours after midnight,

3 0
3 years ago
Read 2 more answers
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