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3 years ago

If a line crosses the y-axis at (0,1) and has a slope of 4/5, what is the equation of the line ?

1 answer:

6 0

The slope intercept form of a line is y=mx+b, where m is the slope and b is the y-intercept (the value of y when x=0). We are given that the slope is 4/5 and the point (0,1) so we know m=4/5 and b=1 so:

y=4x/5+1 now to rearrange into standard form ax+by=c

y=(4x+5)/5

5y=4x+5

5y-4x=5

So the answer is D.

However, by convention, in standard form, the equation is usually expressed with a positive coefficient for x.

5y-4x=5 SHOULD be expresses so the x has a positive coefficient, divide both sides by -1 and you have the technically correct form:

4x-5y=-5

Apparently whomever/whatever posed this question to you was unaware of this convention :P

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The amount of time (in hours) that Sam studied for an exam on each of the last five days is given below. 1.7 7.7 8.3 1.6 5.1 Fin

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Answer:

The mean is 4.88 hours / day

Step-by-step explanation:

To calculate the mean we just add the values and divide by the number of items (in this case we add the hours and divide by the number of days)

so the equation would be

$\frac{1.7+7.7+8.3+1.6+5.1}{5}=4.88$

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3 years ago

How do the prefixes in the metric system relate to the basic units?

WITCHER [35]

The basic unit of length in the metric system is the meter. Grams are used to measure weight and liter is used to measure liquid capacity
besides, it is used so that you can express very large and very small numbers in a short unambiguous manner.
Example Instead of saying "three thousand million" meters
They classify the decimal place of the basic unit. ie, the meter is classified with milli (1/1000), centi(1/100), deci (1/10), Deca (10), Hecto (100), Kilo (1000).

4 0

3 years ago

Read 2 more answers

Engineers must consider the breadths of male heads when designing helmets. The company researchers have determined that the popu

tia_tia [17]

Answer:

The minimum head breadth that will fit the clientele is 4.4 inches.

The maximum head breadth that will fit the clientele is 7.8 inches.

Step-by-step explanation:

Let X = head breadths of men that is considered for the helmets.

The random variable X is normally distributed with mean, μ = 6.1 and standard deviation, σ = 1.

To compute the probability of a normal distribution we first need to convert the raw scores to z-scores using the formula:

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

It is provided that the helmets will be designed to fit all men except those with head breadths that are in the smallest 4.3% or largest 4.3%.

Compute the minimum head breadth that will fit the clientele as follows:

P (X < x) = 0.043

⇒ P (Z < z) = 0.043

The value of z for this probability is:

z = -1.717

*Use a z-table.

Compute the value of x as follows:

$z=\frac{x-\mu}{\sigma}\\-1.717=\frac{x-6.1}{1}\\x=6.1-(1.717\times 1)\\x=4.383\\x\approx4.4$

Thus, the minimum head breadth that will fit the clientele is 4.4 inches.

Compute the maximum head breadth that will fit the clientele as follows:

P (X > x) = 0.043

⇒ P (Z > z) = 0.043

⇒ P (Z < z) = 1 - 0.043

⇒ P (Z < z) = 0.957

The value of z for this probability is:

z = 1.717

*Use a z-table.

Compute the value of x as follows:

$z=\frac{x-\mu}{\sigma}\\1.717=\frac{x-6.1}{1}\\x=6.1+(1.717\times 1)\\x=7.817\\x\approx7.8$

Thus, the maximum head breadth that will fit the clientele is 7.8 inches.

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3 years ago

Mr. Gonzazales has only 42.50 to spend he wants to buy 29 t shirts including tax and some bracelets that cost 4.50 each includin

erica [24]

Answer:

He can buy 3 bracelets.

Step-by-step explanation:

Given:

Mr. Gonzales has only 42.50 to spend he wants to buy 29 t shirts including tax and some bracelets that cost 4.50 each including tax.

Now, to find the number of bracelets he can buy.

Let the number of bracelets he can buy be $x.$

Price of each bracelets = 4.50.

Total amount to spend = 42.50.

Number of t-shirts = 29.

Now, to get the number of bracelets we put an equation:

$29+4.50\times x=42.50\\\\29+4.50x=42.50$

Subtracting both sides by 29 we get:

$4.50x=42.50-29\\\\4.50x=13.5$

Dividing both sides by 4.50 we get:

$x=3.$

The number of bracelets = 3.

Therefore, he can buy 3 bracelets.

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3 years ago

1696700 round to the nearest cent Pls help

KengaRu [80]

Answer:can't do that

Step-by-step explanation:

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2 years ago