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Bas_tet [7]
3 years ago
12

What is the slope of the line passing through the points (–1, 3) and (4, –7)?

Mathematics
2 answers:
Firdavs [7]3 years ago
6 0
slope=\frac{y_2-y_1}{x_2-x_1}\\\\ 
(x_1,y_1)=(-1,3)\\ 
(x_2,y_2)=(4,-7)\\\\
 slope=\frac{-7-3}{4+1}=\frac{-10}{5}=-2\\\\
Slope\ is\ equal\ to\ -2.\\Answer\ is\ D.

WINSTONCH [101]3 years ago
4 0
The answer is a.2 because this coordinate is the only one along the slope
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6, 3, 4, 7, 3, 7, 8, 5, 7 i. Find the median ii. Find the mean iii. Find the modal mark
4vir4ik [10]

Answer:

i. 6

ii. 5\frac{5}{9}

iii. 7

Step-by-step explanation:

First organize the data from least to greatest.  3,3,4,5,6,7,7,7,8

To find the median, remove the extremes from the data over and over.

3,4,5,6,7,7,7

4,5,6,7,7

5,6,7

6

To find the mean, add all of the numbers and divide by 9

3+3+4+5+6+7+7+7+8=50

50/9=5\frac{5}{9}

To find the modal mark, simply find the number present most in the data set: 7(occurs 3 times)

Hope it helps <3

3 0
3 years ago
Upon completion of an experiment a student realizes that the technique used for measuring the length and width of a rectangle ha
eduard

Answer:

809.4cm²

Step-by-step explanation:

Given the following :

Systematic error = 3.8cm (The measured length is always more than the actual length.)

Most probable dimension :

Width = 85.7 cm

Length = 123.5 cm

Hence most probable area of Rectangle :

Area = Length × Width

Area = 85.7cm × 123.5cm = 10583.95 cm²

Dimension due to Systematic error :

Length = (85.7cm + 3.8cm) = 89.5cm

Width = (123.5cm + 3.8cm) = 127.3cm

Area = Length × width

Area = ( 89.5cm × 127.3) = 11393.35cm²

Systematic error of the area :

value of area with Systematic error - Probable value of area :

11393.35cm² - 10583.95 cm² = 809.4cm²

6 0
3 years ago
A manufacturer of golf equipment wishes to estimate the number of left-handed golfers. A previous study indicates that the propo
never [62]

Answer:

A sample of 997 is needed.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of \pi, and a confidence level of 1-\alpha, we have the following confidence interval of proportions.

\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}

In which

z is the z-score that has a p-value of 1 - \frac{\alpha}{2}.

The margin of error is of:

M = z\sqrt{\frac{\pi(1-\pi)}{n}}

A previous study indicates that the proportion of left-handed golfers is 8%.

This means that \pi = 0.08

98% confidence level

So \alpha = 0.02, z is the value of Z that has a p-value of 1 - \frac{0.02}{2} = 0.99, so Z = 2.327.  

How large a sample is needed in order to be 98% confident that the sample proportion will not differ from the true proportion by more than 2%?

This is n for which M = 0.02. So

M = z\sqrt{\frac{\pi(1-\pi)}{n}}

0.02 = 2.327\sqrt{\frac{0.08*0.92}{n}}

0.02\sqrt{n} = 2.327\sqrt{0.08*0.92}

\sqrt{n} = \frac{2.327\sqrt{0.08*0.92}}{0.02}

(\sqrt{n})^2 = (\frac{2.327\sqrt{0.08*0.92}}{0.02})^2

n = 996.3

Rounding up:

A sample of 997 is needed.

3 0
3 years ago
Can you please help me!!
Molodets [167]
A is more because 1/4 is equal to 2/8 and 2/8 is less than 7/8 so you would have more than a minute
B is three minutes 2/8 goes into 7/8 three times
8 0
3 years ago
What is the area of 4 1/2 feet wide and 6 1/2 feet long
Vaselesa [24]

Answer: 29 1/4

Step-by-step explanation:

Multiply and simplify to 29 1/4

6 0
3 years ago
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