Answer: 15
Step-by-step explanation:
If two points are together, then you subtract the numbers to get the distance
19 - 4 = 15
Answer:
(- 4, - 10 )
Step-by-step explanation:
y = 5x + 10 → (1)
y = 4x + 6 → (2)
Substitute y = 5x + 10 into (2)
5x + 10 = 4x + 6 ( subtract 4x from both sides )
x + 10 = 6 ( subtract 10 from both sides )
x = - 4
Substitute x = - 4 into either of the 2 equations and evaluate for y
Substituting into (1)
y = 5(- 5) + 10 = - 20 + 10 = - 10
solution is (- 4, - 10 )
Answer:
B
Step-by-step explanation:
These numbers form an addition and subtraction, fact family.
4, 6, 10
Choose the fact family formed by these numbers.
A.
10 – 6 = 4
10 – 6 = 4
4 + 6 = 10
4 + 6 = 10
B.
10 – 6 = 4
10 – 4 = 6
4 + 6 = 10
6 + 4 = 10
C.
4 + 6 = 10
10 – 6 = 4
D.
6 + 4 = 10
10 – 4 = 6
Answer:
you'll go over 2 and then go up 2 to get your 2x and 2y
<h2>
Answer with explanation:</h2>
Let p be the proportion of the correct answers.
As per given , we have
![H_0: p=0.50](https://tex.z-dn.net/?f=H_0%3A%20p%3D0.50)
, since the alternative hypothesis is right tailed , so the test is a one -tailed test.
If the student gets 52 answers correct out of 80.
i.e. the proportion of correct answers : ![\dfrac{52}{80}=0.65](https://tex.z-dn.net/?f=%5Cdfrac%7B52%7D%7B80%7D%3D0.65)
Test statistic : ![z=\dfrac{\hat{p}-p}{\sqrt{\dfrac{p(1-p)}{n}}}](https://tex.z-dn.net/?f=z%3D%5Cdfrac%7B%5Chat%7Bp%7D-p%7D%7B%5Csqrt%7B%5Cdfrac%7Bp%281-p%29%7D%7Bn%7D%7D%7D)
![z=\dfrac{0.65-0.50}{\sqrt{\dfrac{0.50(0.50)}{80}}}\approx2.68](https://tex.z-dn.net/?f=z%3D%5Cdfrac%7B0.65-0.50%7D%7B%5Csqrt%7B%5Cdfrac%7B0.50%280.50%29%7D%7B80%7D%7D%7D%5Capprox2.68)
P-value :
[ by using p-value table for z (right-tailed)]
Since the p-value(0.0037) is less than the significance level (0.05), so we reject the null hypothesis.
Results : We have enough evidence to support the claim that a student knows more than half of the answers and is not just guessing.