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3 years ago

Need help finding the equation of the line in slope intercept form

Mathematics

1 answer:

Scilla [17]3 years ago

5 0

Answer:

Step-by-step explanation:

Equation: y=mx+b

m is the gradient while b is the y-intercept

Let's first find the slope (also known as the gradient) by choosing two points.

The formula to find the slope is change in y divided by change in x.

So two points are: (-2,0) and (0,5)

Change in y: 5-0 (we use the y-coordinates)

Change in x: 0--2 (0+2) (we use the x-coordinates)

So: 5-0= 5 and 0+2= 2 which means 5 divided by 2

Slope= 5 over two

To find the y-intercept we need to see where the line crosses the y-axis which would be at (0,5)

So: y-intercept is 5 as that's where the line crosses the y-axis.

Equation now: y= 5 over 2x +5

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Rainfall collected in a rain gauge was found to be 2.3 cm when rounded to the nearest tenth of a centimeter.

Korolek [52]

Answer:

(a). 2.251 cm , 2.349 cm, 2.295 cm

(b). 0.023 meters.

Step-by-step explanation:

(a). We are asked to to choose the options that shows the actual measurement of the rainfall.

Since the rounded figure is 2.3 cm, this means that either the tenths digit is 3 with hundredths digit less than 5, or tenths digit is 2 with hundredths digit greater than or equal to 5.

Let us check our given choices one by one.

$2.251\text{ cm}\approx 2.3\text{ cm}$

$2.349\text{ cm}\approx 2.3\text{ cm}$

$2.352\text{ cm}\approx 2.4\text{ cm}$

$2.295\text{ cm}\approx 2.3\text{ cm}$

Therefore, the correct choices are 2.251 cm , 2.349 cm and 2.295 cm.

(b) We know that 1 cm equals 0.01 meters.

To convert 2.3 cm to meters, we will multiply 2.3 by 0.01.

$2.3\text{ cm}=2.3\text{ cm}\times \frac{0.01\text{ meters}}{\text{cm}}$

$2.3\text{ cm}=0.023\text{ meters}$

Therefore, the rounded measurement of rain would be 0.023 meters.

8 0

4 years ago

A sandbox has a volume of 330 cubic feet of sand. If the sandbox is 3 feet tall, and 10 feet wide, what is the length of the san

Digiron [165]

Answer:

We are given that the total volume of the sandbox is 330 cubic feet.
We are given the side measurements of 3 feet tall and 10 feet wide.
3 x 10 = 30 sq2

V(volume)= 330 ft3

330 ft3 divided by 30 sq2 = 11ft

In conclusion, the length of the box would be:
= 11 ft

Step-by-step explanation:

Have a great rest of your day
#TheWizzer

6 0

3 years ago

Assume that 11 people, including the husband and wife pair, apply for 4 sales positions. People are hired at random.

Nastasia [14]

27% probability both husband and wife will be hired

5 0

3 years ago

Question

AlekseyPX

Answer:

The population mean is 5 volts

Step-by-step explanation:

Output voltage is assumed to be normally distributed, with standard deviation 0.25 Volts

s=0.25

n = 8

$H_0:\mu = 5\\H_a:\mu \neq 5$

Sample mean = $\bar{x}=4.85$

Since n < 30 and population standard deviation is unknown

So, we will use t test

Formula : $t = \frac{x-\mu}{\frac{s}{\sqrt{n}}}$

$t = \frac{4.85-5}{\frac{0.25}{\sqrt{8}}}$

t=-1.69

Refer the t table for p value

Degree of freedom = n-1 = 8-1 = 7

So, $t_{(df,\alpha)}=t_{7,0.05}=2.365$

P value >α

So, We are failed to reject null hypothesis

Hence The population mean is 5 volts

7 0

3 years ago

See image attached below keeeeeeeeeeeeeeeeeeeed

emmasim [6.3K]

Answer:

.13%

68.26%

2.28%

47.72%

49.87%

34.13%

Step-by-step explanation:

1.) standardize by subtracting the mean and dividng by the standard deviation

(625-1000)/125= -3

go to a ztable to get .0013 or (1-.9987)

this is equal to .13%

2.)

875<x<1125

standardize both seperately and subtract them

(875-1000)/125= -1 whose probability is .1587 (or 1-.8413)

(1125-1000)/125= 1 whose probability is .8413

.8413-.1587= 68.26%

3.)

Find the probability that someone paid less than 1250 and take its compliment

(1250-1000)/125= 2 which has a probability of .9772

take its compliment (1-.9772)= .0228= 2.28%

4.)

Same process as question 2

(750-1000)/125= -2 which has a probability of (1-.9772) = .0228

(1000-1000)/125= 0 which has a probability of .5

.5-.0228= .4772= 47.72%

5.) same deal as the previous question

(625-1000)/125= -3 which has a probability of (1-.9987)= .0013

(1000-1000)/125= 0 which has a probability of .5

.5-.0013= .4987= 49.87%

6.)same deal the previous question

(875-1000)/125= -1 which has a probability of (1-.8413)=.1587

(1000-1000)/125= 0 which has a probability of .5

.5-.1587= .3413= 34.13%

4 0

3 years ago