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3 years ago

Perpendicular equation to 4x+3y=12

Mathematics

1 answer:

Grace [21]3 years ago

6 0

Answer:

3/4

Step-by-step explanation:

4×+3y=12

answer: m = 3/4

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Mumz [18]

martemat 20 e7 72gsys y3823 485 u

8 0

3 years ago

Suppose that the mean water hardness of lakes in Kansas is 425 mg/L and these values tend to follow a normal distribution. A lim

tino4ka555 [31]

Answer:

The mean water hardness of lakes in Kansas is 425 mg/L or greater.

Step-by-step explanation:

We are given the following data set:

346, 496, 352, 378, 315, 420, 485, 446, 479, 422, 494, 289, 436, 516, 615, 491, 360, 385, 500, 558, 381, 303, 434, 562, 496

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.

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

$Mean =\displaystyle\frac{10959}{25} =438.36$

Sum of squares of differences = 175413.76

$S.D = \sqrt{\dfrac{175413.76}{24}} = 85.49$

Population mean, μ = 425 mg/L

Sample mean, $\bar{x}$ = 438.36

Sample size, n = 25

Alpha, α = 0.05

Sample standard deviation, s = 85.49

First, we design the null and the alternate hypothesis

$H_{0}: \mu \geq 425\text{ mg per Litre}\\H_A: \mu < 425\text{ mg per Litre}$

We use one-tailed t test to perform this hypothesis.

Formula:

$t_{stat} = \displaystyle\frac{\bar{x} - \mu}{\frac{s}{\sqrt{n}} }$

Putting all the values, we have

$t_{stat} = \displaystyle\frac{438.36 - 425}{\frac{85.49}{\sqrt{25}} } = 0.7813$

Now, $t_{critical} \text{ at 0.05 level of significance, 24 degree of freedom } = -1.7108$

Since,

The calculated t-statistic is greater than the critical value, we fail to reject the null hypothesis and accept it.

Thus, the mean water hardness of lakes in Kansas is 425 mg/L or greater.

6 0

3 years ago

What is the answer to this problem?

eimsori [14]

Answer:

A=3

Step-by-step explanation:

srry if I'm worng. hop it helped

6 0

3 years ago

10 students of a class had a mean score of 70. The remaining 15

Anton [14]

Oops someone else answered it before me

3 0

3 years ago

Kelly was baking bread but could only find her ⅛ cup measuring cup. She needs ¼ cup sugar, ¾ cup whole wheat flour, and ½ cup al

Nataly_w [17]

Answer:

Number of 1/8 cups of sugar needed = 2

Number of 1/8 cups of whole wheat flour needed = 6

Number of 1/8 cups of all purpose flour needed = 4

Step-by-step explanation:

Recipes Kelly needs:

Sugar = 1/4 cups

Whole wheat flour = 3/4 cups

All purpose flour = 1/2 cups

She could only find her ⅛ cup measuring cup.

How many ⅛ cups will she need for each ingredient?

Number of 1/8 cups of sugar needed = cups of Sugar needed / 1/8 cups

= 1/4 ÷ 1/8

= 1/4 × 8/1

= 8/4

= 2

Number of 1/8 cups of sugar needed = 2

Number of 1/8 cups of whole wheat flour needed = cups of whole wheat flour needed / 1/8 cups

= 3/4 ÷ 1/8

= 3/4 × 8/1

= 24/4

= 6

Number of 1/8 cups of whole wheat flour needed = 6

Number of 1/8 cups of all purpose flour needed = cups of all purpose flour needed ÷ 1/8 cups

= 1/2 ÷ 1/8

= 1/2 × 8/1

= 8/2

= 4

Number of 1/8 cups of all purpose flour needed = 4

6 0

3 years ago