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Natasha2012 [34]
2 years ago
12

What is the slope of the line passing through the points (0,4) and (-8, -1)?​

Mathematics
1 answer:
telo118 [61]2 years ago
3 0

Answer: The top left one is -3, 6     bottom right is -6, 3

Step-by-step explanation:

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Of a group of randomly selected adults, 360 identified themselves as manual laborers, 280 identified themselves as non-manual wa
Wittaler [7]

Answer:

We are 95% confident that the percent of executives who prefer trucks is between 19.43% and 33.06%

Step-by-step explanation:

We are given that in a group of randomly selected adults, 160 identified themselves as executives.

n = 160

Also we are given that 42 of executives preferred trucks.

So the proportion of executives who prefer trucks is given by

p = 42/160

p = 0.2625

We are asked to find the 95% confidence interval for the percent of executives who prefer trucks.

We can use normal distribution for this problem if the following conditions are satisfied.

n×p ≥ 10

160×0.2625 ≥ 10

42 ≥ 10 (satisfied)

n×(1 - p) ≥ 10

160×(1 - 0.2625) ≥ 10

118 ≥ 10 (satisfied)

The required confidence interval is given by

$ p \pm z\times \sqrt{\frac{p(1-p)}{n} } $

Where p is the proportion of executives who prefer trucks, n is the number of executives and z is the z-score corresponding to the confidence level of 95%.

Form the z-table, the z-score corresponding to the confidence level of 95% is 1.96

$ p \pm z\times \sqrt{\frac{p(1-p)}{n} } $

$ 0.2625 \pm 1.96\times \sqrt{\frac{0.2625(1-0.2625)}{160} } $

$ 0.2625 \pm 1.96\times 0.03478 $

$ 0.2625 \pm 0.06816 $

0.2625 - 0.06816, \: 0.2625 + 0.06816

(0.1943, \: 0.3306)

(19.43\%, \: 33.06\%)

Therefore, we are 95% confident that the percent of executives who prefer trucks is between 19.43% and 33.06%

5 0
3 years ago
14% of the number is 63 <br> Find the number
Lady_Fox [76]

Answer:

450

Step-by-step explanation:


3 0
3 years ago
Read 2 more answers
Carmen deposits $700 into an account that pays simple interest at a rate of 3% per year. How much interest will she be paid in t
VLD [36.1K]
First we need to find what 3% of 700 is.  We know 10% is 70, 5% is 35, so we need to find out what 3% is.  If you don't know how to calculate percentages of a number, I recommend starting with 10%.  This way you know 10% of the number is 70, so you will also know that 1% of the number is 7.  7 x 3 = 21.  So 3% of 700 is 21.  Since it was over 6 years, we multiply 21 x 6.  That gives us 126.  She will be paid $126 in interest in the first six years.
4 0
3 years ago
Read 2 more answers
A hot-air balloon is released at ground level, and it rises into the air at a constant rate. After 5 seconds the height of the b
mr_godi [17]

The constant rate = 20 ft / 5 seconds = 4 feet per second

Find the chart that shows an increase of 4 feet for every second the balloon travels.

3 0
2 years ago
Show that ifAB=IandAC=I, then it follows that B=C. Explain how this proves thatthe inverse of the matrix A is unique.
Anna007 [38]

Answer with Step-by-step explanation:

Suppose that a matrix has two inverses B and C

It is given that AB=I and AC=I

We have to prove that Inverse of matrix is unique

It means B=C

We know that

B=BI where I is identity matrix of any order in which number of rows is equal to number of columns of matrix B.

B=B(AC)

B=(BA)C

Using associative property of matrix

A (BC)=(AB)C

B=IC

Using BA=I

We know that C=IC

Therefore, B=C

Hence, Matrix A has unique inverse .

6 0
2 years ago
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