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3 years ago

If the equation y = 15x + 2 is changed to y = 15x - 4, how will the graph of the line change?

2 answers:

6 0

The y-intercept is changed from 2 to -4.

That means that the point that the graph crosses the y axis has been moved down by 6.

Since the slope of the line has not changed, this just means the graph of the line will be moved down by 6.

Hope this helps!
Your fortune is "When given a difficult choice, trust your gut. If you don't have one, then close your eyes and hope for the best."

Mama L [17]3 years ago

5 0

If you type in the question in the "what is your question" box it should give you some answers

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In the adjoining figure O is the centre of the circle the tangent to the circle of radius 6 cm from the exterior point P of the

slamgirl [31]

Answer:

Let P be the external point. O be the origin. join O and P get OP and nearest point on the circle from P be A.

Let Q be the point onthe circle in which, tangent make 90° with radius at Q.

PQ = 8 and OQ = 6

we get a right angled triangle PQO right angled at Q.

so, OP^2 = OQ^2 + PQ^2= 8^2 + 6^2 = 64 + 36 =1==

therefore OP =10cm

we need nearest point from P, which is PA

PA = OP - OA= 10 -6=4cm

7 0

3 years ago

A simple random sample of 36 men from a normally distributed population results in a standard deviation of 10.1 beats per minute

Katyanochek1 [597]

Answer:

Step-by-step explanation:

Given that:

sample size n = 36

standard deviation = 10.1

level of significance ∝ = 0.10

The null hypothesis and the alternative hypothesis can be computed as follows:

$H_0 : \sigma = 10$

$H_1 : \sigma \neq 10$

The test statistics can be computed as follows:

$X^2 = \dfrac{(n -1)s^2 }{\sigma ^2}$

$X^2 = \dfrac{(36 -1)10.1^2 }{10^2}$

$X^2 = \dfrac{(35)102.01 }{100}$

$X^2 = \dfrac{3570.35 }{100}$

$X^2 =35.704$

degree of freedom = n - 1 = 36 - 1 = 35

Since this test is two tailed .

The P -value can be determined by using the EXCEL FUNCTION ( = 2 × CHIDIST(35.7035, 35)

P - value = 2 × 0.435163515

P - value = 0.8703 ( to four decimal places)

Decision Rule : To reject the null hypothesis if P - value is less than the 0.10

Conclusion: We fail to reject null hypothesis ( accept null hypothesis) since p-value is greater than 0.10 and we conclude that there is sufficient claim that the normal range of pulse rates of adults given as 60 to 100 beats per minute resulted to a standard deviation of 10 beats per minute.

3 0

3 years ago

a tap can fill a bucket in 2 minutes, another in 3 minutes. If both are turned on how long does it take to fill the bucket?

Rama09 [41]

Answer:

It takes 1 minute 12 seconds to fill the bucket if both taps are turned on.

Step-by-step explanation:

One tap fills the bucket in 2 minutes, thus fills 1/2 of the bucket in one minute.
Other tap fills the bucket in 3 minutes, thus fills 1/3 of the bucket in one minute.
Both together fill 1/2+1/3=5/6 of the bucket in one minute.
If they can fill 5/6 of the bucket in 1 minute, they fill 1/6 of the bucket in 1/5 minute.
They can fill the bucket (6/6) in 1+1/5 minute
This is 1 minute 12 seconds

6 0

3 years ago

Suppose we want to choose 5 letters, without replacement, from 9 distinct letters. (If necessary, consult a list of formulas.) (

lara [203]

Answer:

A.This is the number of combinations of 6 from 15

= 15C6

= 15! / (15-6)! 6!

= 5,005 ways.

B. This is the number of permutaions of 6 from 15:

= 15! / (15-6)!

= 3,603,600 ways.

Step-by-step explanation:

This was someone else's work not mine sorry here's creditssss :))

brainly.com/question/15145413

5 0

3 years ago

The price of an item is $35 but you have to pay $38.22 what is the sale tax rate?

Vilka [71]

3.22$ because your originally spending 35$ so the added 3.22$ makes up 38.22$

6 0

3 years ago