All categories

3 years ago

Pleaseeee helpppp !!!!!!!!! Will mark Brianliest !!!!!!!!!!!

Mathematics

1 answer:

Semenov [28]3 years ago

6 0

Answer:

KL = 50

Step-by-step explanation:

∆JML is similar to ∆JNL. it follows that:

[tex] \frac{JM}{JN} = \frac{JL}{JK} [\tex]

JM = 4 + 20 = 24

JN = 4

JL = 10 + KL

JK = 10

Plug in the values

[tex] \frac{24}{4} = \frac{10 + KL}{10} [\tex]

[tex] 6 = \frac{10 + KL}{10} [\tex]

Multiply both sides by 10

[tex] 6*10 = \frac{10 + KL}{10}*10 [\tex]

[tex] 60 = 10 + KL [\tex]

Subtract 10 from each side

[tex] 60 - 10 = KL [\tex]

[tex] 50 = KL [\tex]

KL = 50

You might be interested in

In a clinical study of an allergy drug, 108 of the 200 subjects reported experiencing significant relief from their symptoms. Te

DochEvi [55]

Answer:

The decision is to not reject the null hypothesis.

At a significance level of 0.01, there is not enough evidence to support the claim that the proportion of all those using the drug that experience relief is significantly higher than 50% (P-value = 0.1443).

Step-by-step explanation:

This is a hypothesis test for a proportion.

The claim is that the proportion of all those using the drug that experience relief is significantly higher than 50%.

Then, the null and alternative hypothesis are:

$H_0: \pi=0.5\\\\H_a:\pi>0.5$

The significance level is 0.01.

The sample has a size n=200.

The sample proportion is p=0.54.

$p=X/n=108/200=0.54$

The standard error of the proportion is:

$\sigma_p=\sqrt{\dfrac{\pi(1-\pi)}{n}}=\sqrt{\dfrac{0.5*0.5}{200}}\\\\\\ \sigma_p=\sqrt{0.00125}=0.035$

Then, we can calculate the z-statistic as:

$z=\dfrac{p-\pi-0.5/n}{\sigma_p}=\dfrac{0.54-0.5-0.5/200}{0.035}=\dfrac{0.038}{0.035}=1.061$

This test is a right-tailed test, so the P-value for this test is calculated as:

$\text{P-value}=P(z>1.061)=0.1443$

As the P-value (0.1443) is greater than the significance level (0.01), the effect is not significant.

The null hypothesis failed to be rejected.

At a significance level of 0.01, there is not enough evidence to support the claim that the proportion of all those using the drug that experience relief is significantly higher than 50%.

6 0

4 years ago

Heather works as a waitress at her family restaurant she works 2 hours every morning during the breakfast shift and returns to w

antiseptic1488 [7]

She works 5 hours each dinner shift!!

6 0

3 years ago

How do you graph y=-3|x-3|+1

Svetach [21]

To graph it is (3,1) , = y

4 0

4 years ago

X= y2+1

Irina-Kira [14]

Answer:

3y² -2y -1 =0

Step-by-step explanation:

X= y²+1 .....(1)

3x - 2y = 4.....(2)

put x in (2) : 3(y²+1 )-2y =4

3y² +3 -2y -4 = 0

3y² -2y -1 =0

8 0

3 years ago

In our class, our class teacher gave us a project to complete in 15 days. The teacher assigned 4 consecutive projects, how many

Marta_Voda [28]

To do this we will just DIVIDE. Lets Divide:-

15 ÷ 4 = 3.75

Check our work:-

3.75 × 4 =15

So, to finish 1 project you have 3.75 days.

Hope I helped ya!!

6 0

3 years ago