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Elden [556K]
3 years ago
9

6. Write equations of the following scenarios in ANY form

Mathematics
1 answer:
Bumek [7]3 years ago
7 0

Answer:

answer is B

Step-by-step explanation:

You might be interested in
Below are some data examining whether reading the textbook for this course is related to class enjoyment.
Reil [10]

Answer:

13.36

Step-by-step explanation:

I will first create a table

X. Y. XY. X²

1. 20. 20. 1

2. 24. 48. 4

3. 35. 105. 9

4. 46. 184. 16

5. 67. 335. 25

6. 80. 480. 36

1. 12. 12. 1

2. 34. 68. 4

3. 34. 102. 9

5. 78. 430. 25

ΣX = 32

ΣY = 430

ΣXY = 1744

ΣX² = 130

n = 10

The formula for regression line is given as :

Y = a + bX

a = intercept

b = slope

The question requires us to find b which is the slope.

b = nΣXY-ΣXΣY/nΣX²-(ΣX)²

= 10x1744-32x430/10x130-(32)²

= 17440-13760/1300-1024

= 3680/276

= 13.36

b = 13.36

6 0
3 years ago
45% of what number is 27?
gtnhenbr [62]
45% of what number is 27

0.45x = 27
x = 27 / 0.45
x = 60 <== 45% of 60 = 27
5 0
3 years ago
Please help with this math problem for trig. A 6 m ladder is leaning against a wall. The base of the ladder is 1.5 m from the wa
VladimirAG [237]

Answer:

a = 5.81 m

Step-by-step explanation:

We can use the Pythagorean theorem

a^2 + b^2 = c^2

where b= 1.5 and c= 6

a^2 +1.5^2 = 6^2

a^2 +2.25 = 36

Subtract 2.25 from each side

a^2 +2.25-2.25 = 36-2.25

a^2 = 33.75

Take the square root of each side

sqrt(a^2) = sqrt(33.75)

a = 5.809475019

We only take the positive root because length must be positive

4 0
3 years ago
A researcher finds that of 1000 people who said that they attend a religious service at least once a week, A stopped to help a p
Ne4ueva [31]

Answer:

There is enough evidence to support the claim that the proportions are not equal. (P-value: 0.048).

Step-by-step explanation:

The question is incomplete:

<em>"A researcher finds that of 1000 people who said that they attend a religious service at least once a week, 31 stopped to help a person with car trouble. Of 1200 people interviewed who had not attended a religious service at least once a month, 22 stopped to help a person with car trouble. At the 0.05 significance level, test the claim that the two proportions are different."</em>

This is a hypothesis test for the difference between proportions.

The claim is that the proportions are not equal.

Then, the null and alternative hypothesis are:

H_0: \pi_1-\pi_2=0\\\\H_a:\pi_1-\pi_2\neq 0

The significance level is 0.05.

The sample 1, of size n1=1000 has a proportion of p1=0.031.

p_1=X_1/n_1=31/1000=0.031

The sample 2, of size n2=1200 has a proportion of p2=0.018.

p_2=X_2/n_2=22/1200=0.018

The difference between proportions is (p1-p2)=0.013.

p_d=p_1-p_2=0.031-0.018=0.013

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

p=\dfrac{X_1+X_2}{n_1+n_2}=\dfrac{31+22}{1000+1200}=\dfrac{53}{2200}=0.024

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{0.024*0.976}{1000}+\dfrac{0.024*0.976}{1200}}\\\\\\s_{p1-p2}=\sqrt{0+0}=\sqrt{0}=0.007

Then, we can calculate the z-statistic as:

z=\dfrac{p_d-(\pi_1-\pi_2)}{s_{p1-p2}}=\dfrac{0.013-0}{0.007}=\dfrac{0.013}{0.007}=1.98

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

P-value=2\cdot P(z>1.98)=0.048

As the P-value (0.048) is smaller than the significance level (0.05), the effect is significant.

The null hypothesis is rejected.

There is enough evidence to support the claim that the proportions are not equal.

6 0
3 years ago
THE property of two rational numbers is -28/81. If one of them is -2/3, then find the other.
KiRa [710]
The answer is:
(-28/81)/(-2/3) = -84/(-162) = 42/81

Work
Think of this simple question:
Two number when multiplied together give 15. If one number is 5, then the other is (15/5)=3.
4 0
3 years ago
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