1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Bad White [126]
2 years ago
15

Write an equation in slope-intercept form of the line that passes through (−5, 19) and (5, 13)

Mathematics
1 answer:
kotykmax [81]2 years ago
6 0
13-19/5+5=-6/10=-3/5
You might be interested in
A doctor wants to estimate the mean HDL cholesterol of all​ 20- to​ 29-year-old females. The number of subjects needed to estima
Ludmilka [50]

Answer:

n=(\frac{1.64(14.7)}{3})^2 =64.57 \approx 65

So the answer for this case would be n=65 rounded up to the nearest integer

And the sample size would decrease by 160-65=95 subjects

Step-by-step explanation:

1) Previous concepts

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

The margin of error is the range of values below and above the sample statistic in a confidence interval.

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

\bar X represent the sample mean for the sample  

\mu population mean (variable of interest)

s represent the sample standard deviation

n represent the sample size  

ME represent the margin of error

The confidence interval for the mean is given by the following formula:

\bar X \pm t_{\alpha/2}\frac{s}{\sqrt{n}}   (1)

2) Solution to the problem

Since the new Confidence is 0.90 or 90%, the value of \alpha=0.1 and \alpha/2 =0.05, and we can use excel, a calculator or a table to find the critical value. The excel command would be: "=-NORM.INV(0.05,0,1)".And we see that z_{\alpha/2}=1.64

Assuming that the deviation is known we can express the margin of error is given by this formula:

ME=z_{\alpha/2}\frac{\sigma}{\sqrt{n}}    (a)

And on this case we have that ME =\pm 3 and we are interested in order to find the value of n, if we solve n from equation (a) we got:

n=(\frac{z_{\alpha/2} \sigma}{ME})^2   (b)

Replacing into formula (b) we got:

n=(\frac{1.64(14.7)}{3})^2 =64.57 \approx 65

So the answer for this case would be n=65 rounded up to the nearest integer

And the sample size would decrease by 160-65=95 subjects

8 0
3 years ago
Find the area of each figure
Anon25 [30]
Area of trapezoid = a + b/2 * h
a = 20, b = 9, h = 21/-16
20+9/2 * (21-16) = 29/2 * 5 = 72.5
The area of the trapezoid = 72.5 in^2

Area of the rectangle = l * w
l = 16, w = 20
16 * 20 = 320
The area of the rectangle: 320 in^2
7 0
3 years ago
PLEASE HELP ME WITH THIS
Vedmedyk [2.9K]
Let's start with the drawing. (See the drawing at the bottom of this answer.)

Draw a vertical segment.
At the bottom endpoint, draw a horizontal segment to the right.
The angle at the bottom left is a right angle.
So far this should look like an "L" shape.
The vertical segment is the wall, and the horizontal segment is the ground.

Now draw a segment that connects the right endpoint of the horizontal segment and the top endpoint of the vertical segment. Now you have a right triangle. The diagonal segment represents the ladder. The diagonal segment is the hypotenuse. Label the diagonal segment, the hypotenuse, 12 ft.
Label the vertical segment, the wall, 11.8 ft.

The angle at the bottom right is A. It is the angle the ladder makes with the ground. This angle cannot be greater than 75 degrees.

Now we use trigonometry to find the measure of angle A.

For this right triangle, and its angle A, you have a hypotenuse that measures 12 ft, and an opposite leg that measures 11.8 ft.
We need to find angle A.
The trig ratio that relates the opposite leg and the hypotenuse is the sine.

\sin A = \dfrac{opp}{hyp}

\sin A = \dfrac{11.8}{12}

\sin A = 0.98333

Since the sine of angle A equals 0.98333, we use the inverse sine function to find the measure of angle A.

A = \sin^{-1} 0.98333

A = 79.5^\circ

Answer:
The angle the ladder makes with the ground is 79.5 degrees which is greater than 75 degrees, so the ladder it will be unsafe in this position.


           |\
           |  \
           |    \
           |      \
opp = |         \ hyp = 12
= 11.8  |           \
           |             \
           |_______\  A
3 0
3 years ago
Figure 1 is similar to figure 2. What is the height of figure 1?
liubo4ka [24]
Answer:D 4 units

Enjoy

4 0
2 years ago
Emery bought 3 cans of beans that had a total weight of 2.4 pounds. If each can of beans weighed the same amount, which model co
andreev551 [17]

Answer:

  • y=0.8x
  • See Explanation for others

Step-by-step explanation:

The 3 cans of beans had a total weight of 2.4 Pounds

Therefore:

  • 1 can of beans = (2.4 ÷ 3) =0.8 Pounds

The following applies from the options.

  • y=0.8x where y is the weight and x is the number of cans.
  • A 2-column table with 3 rows. Column 1 is labeled number of cans with entries 5, 15, 20. Column 2 is labeled total weight (in pounds) with entries 4, 12, 16.

Using y=0.8x

When x=5, y=0.8 X 5=4

When x=15, y=0.8 X 15=12

When x=20, y=0.8 X 20=16

\left|\begin{array}{c|c}\text{Number of Cans,x}&\text{Total Weight (in Pounds),y}\\-------&--------\\5&4\\15&12\\20&16\end{array}\right|

  • On a coordinate plane, the x-axis is labeled number of cans and the y-axis is labeled total weight (in pounds. A line goes through points (5, 4) and (15, 12). This can be clearly seen from the table above as (5,4) and (15,12) are points on the line.
8 0
2 years ago
Read 2 more answers
Other questions:
  • PLEASE HELP
    14·1 answer
  • A rectangle has a length of 23 inches and a perimeter of 74 inches. what is the width of the rectangle?
    8·2 answers
  • At the spring dance there were 23 more students than 6 times the number of teachers. There were 215 students that attended the d
    6·2 answers
  • Rachel created 215 pairs of earrings. Material for the earrings were $0.25 a pair. At a craft fair rachel sells all 215 pairs of
    5·2 answers
  • The sum of three numbers is 196. The middle number is twice the smallest number. The largest number is 16 more than three times
    7·1 answer
  • Evaluate f(x) = 8.4x + 3.8 when x = 9.1. Type the number only for auto grade to work correctly. Round your answer to 2 decimal p
    14·1 answer
  • Zeke and Jay run a 220 yard dash, and jay wins the race by 10 yds. If Jay runs the race and 30 seconds What is the rate of each
    11·1 answer
  • HELP FAST PLS !!!!
    11·2 answers
  • Please HURRY ASAP answer all and I will give you brainliest !!!
    12·1 answer
  • how do i graph a rational function in the form t=d/s? as an example i have to graph t=616.5km/40km/h, t=616.5km/25km/h, and t=61
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!