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1 year ago

Write an equation of the line that passes through point (-8, – 5) and has the slope m= - 1/4 y=

Mathematics

1 answer:

zmey [24]1 year ago

5 0

Answer:

y= -1/4x + 3

Step-by-step explanation:

y-y1 = m(x-x1)

(-8 {x1}, -5 {y1}, -1/4 [m] )

We'll then replace the letters with the available figures.

y-[-5] = -1/4 (x-[-8])

We are made to know that minus + minus= plus

Minus + plus= Minus

Minus x minus = plus

minus x plus = minus

Therefore, the mathematical setting of this question becomes,

y+5 = -1/4 (x+8)

Multiply everything in the bracket with the outside value

-1/4 x X = -1/4x

-1/4 x 8 = -2

The mathematical setting then becomes,

y+5 = -1/4x + -2 (Note: plus + minus = minus)

so, it becomes

y+5 = -1/4x - 2

The equation is supposed to look like this, y= mx + b

Therefore we add +5 to both sides to cancel out

y+5 = -1/4x - 2

+5 +5

+5 cancels out +5 which makes the setting,

y= -1/4x - 2 +5 (-2+5 goes around to become 5-2= 3)

The expression now looks like this

y= -1/4x +3 which is the final answer!

$y= -1/4x + 3$

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A random sample of 10 shipments of stick-on labels showed the following order sizes.10,520 56,910 52,454 17,902 25,914 56,607 21

sammy [17]

Answer:

Confidence Interval: (21596,46428)

Step-by-step explanation:

We are given the following data set:

10520, 56910, 52454, 17902, 25914, 56607, 21861, 25039, 25983, 46929

Formula:

$\text{Standard Deviation} = \sqrt{\displaystyle\frac{\sum (x_i -\bar{x})^2}{n-1}}$

where $x_i$ are data points, $\bar{x}$ is the mean and n is the number of observations.

$Mean = \displaystyle\frac{\text{Sum of all observations}}{\text{Total number of observation}}$

$Mean =\displaystyle\frac{340119}{10} = 34011.9$

Sum of squares of differences = 551869365.6 + 524322983.6 + 340111052.4 + 259528878 + 65575984.41 + 510538544 + 147644370.8 + 80512934.41 + 64463235.21 + 166851472.4 = 2711418821

$S.D = \sqrt{\frac{2711418821}{9}} = 17357.09$

Confidence interval:

$\mu \pm t_{critical}\frac{\sigma}{\sqrt{n}}$

Putting the values, we get,

$t_{critical}\text{ at degree of freedom 9 and}~\alpha_{0.05} = \pm 2.2621$

$34011.9 \pm 2.2621(\frac{17357.09}{\sqrt{10}} ) = 34011.9 \pm 12416.20 = (21595.7,46428.1) \approx (21596,46428)$

7 0

3 years ago

A restaurant has 9 pounds of onion. The restaurant's manager ordered 4 more pounds of onion. The onions then were mixed and kept

Iteru [2.4K]

Answer:

6.5

Step-by-step explanation:

9 + 4 = 13 divide by 2 = 6.5 is your answer.

4 0

3 years ago

What’s the right answer?

Nataly [62]

I will give you the formula and teach you how to solve this. Let’s start with finding the area of both the right triangles.
The formula is, base x height / 2 = area
Triangle 1 - 2x8/2 = 16/2 = 8
Triangle 2 - 2x8/2 = 16/2 = 8
Rectangle - 8x3 = 24
Add them up: 24 + 8 + 8 = 40 square feet
I hope this wasn’t to confusing

5 0

2 years ago

Read 2 more answers

A production process is known to produce a particular item in such a way that 5 percent of these are defective. If two items are

IRINA_888 [86]

Answer:

0.0025 = 0.25% probability that both are defective

Step-by-step explanation:

For each item, there are only two possible outcomes. Either they are defective, or they are not. Items are independent of each other. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$