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2 years ago

Find the y-intercept of the line who's equation is Y = 3.5 x- 0.4.

2 answers:

7 0

$\sf y=mx+b$

m is the slope
b is the y-intercept

so that means that the y-intercept of

$\sf y=3.5x + .4$

is $\sf .4$

$\bf{\huge{\boxed{y-intercept = .4}}}$

VLD [36.1K]2 years ago

4 0

Y-intercept is value of y when x=0.
So just plug in x=0 and solve for y;

y = 3.5x - 0.4
y = 3.5(0) - 0.4
y = 0-0.4
y = -0.4

So y-intercept is -0.4

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During a bike challenge riders have to collect various colored ribbons each half mile they collect a red ribbon each 8th mile th

soldi70 [24.7K]

Answer:

Green and Blue ribbon

Step-by-step explanation:

Given

They collect

Red Ribbon = ½ mile

Green Ribbon = ⅛ mile

Blue Ribbon = ¼ mile

To find?

Which colors of ribbons will be collected at the ¾ mile mark.

The interpretation of the question is to test which of the above fractions can divide ¾ without a remainder; in other words, multiples of ¾.

Testing each fraction.

Red Ribbon = ½

¾ ÷ ½

= ¾ * 2

= 3/2

= 1.5 or 1 Remainder 1

This is not an exact multiple of ¾. So, the red ribbon won't be passed here.

Green Ribbon = ⅛

¾ ÷ ⅛

= ¾ * 8

= 24/8

= 3

This is an exact multiple of ¾. So, the green ribbon will be collected.

Testing the last ribbon

Blue = ¼

¾ ÷ ¼

= ¾ * 4

= 3

This is an exact multiple of ¾. So, the blue ribbon will be collected.

Hence, the green and blue ribbons will be collected at ¾ mile mark

3 0

2 years ago

A 20 gallon fish tank is being filled at a rate of 2 gallons per minute.At this rate,how many minutes will it take to fill this

Agata [3.3K]

The answer is 7 and a half

4 0

2 years ago

Read 2 more answers

The amounts of nicotine in a certain brand of cigarette are normally distributed with a mean of 0.917 g and a standard deviation

Nutka1998 [239]

Answer:

$z = \frac{0.872-0.917}{\frac{0.303}{\sqrt{37}}}= -0.903$

And we can find this probability to find the answer:

$P(z$

And using the normal standar table or excel we got:

$P(z$

Step-by-step explanation:

Let X the random variable that represent the amounts of nocatine of a population, and for this case we know the distribution for X is given by:

$X \sim N(0.917,0.303)$

Where $\mu=0.917$ and $\sigma=0.303$

We have the following info from a sample of n =37:

$\bar X= 0.872$ the sample mean

And we want to find the following probability:

$P(\bar X \leq 0.872)$

And we can use the z score formula given by;

$z=\frac{x-\mu}{\frac{\sigma}{\sqrt{n}}}$

And if we find the z score for the value of 0.872 we got:

$z = \frac{0.872-0.917}{\frac{0.303}{\sqrt{37}}}= -0.903$

And we can find this probability to find the answer:

$P(z$

And using the normal standar table or excel we got:

$P(z$

6 0

2 years ago

Find the Slope:

AveGali [126]

Answer:

4) slope= 0

5) $slope = - \frac{1}{7}$

Step-by-step explanation:

$\boxed{ slope = \frac{y _{2} - y_1 }{x_2 - x_1} }$

4) Slope

$= \frac{10 - 10}{ - 10 - 3}$

$= \frac{0}{ - 13}$

= 0

The slope is zero as the line is a horizontal line (since both points have the same y-coordinate of 10).

5) Slope

$= \frac{5 - 4}{2 - 9}$

$= \frac{1}{ - 7}$

$= - \frac{1}{7}$

Since you have taken (x₁, y₁) to be (9, 4), the value of x₁ should be 9 instead of 2.

6 0

2 years ago

Read 2 more answers

3 1/4 x 5/8? that is, 3 and 1/4 times 5/8

maw [93]

Answer:

first make mixed

13/4 x 5/8

just multiply the numerator with numerator and denominator with denominator

13x5=65

4x8=32

65/32 or 2 1/32

Step-by-step explanation:

6 0

3 years ago

Read 2 more answers