Sean places 15 tomato plants in rows. All rows contain the same number of plants. There are between 4 and 8 plants in each row.

Mathematics

1 answer:

lisov135 [29]3 years ago

5 0

The number of plants in each row is 5.

<h3>What are factors? </h3>

The factor of a number is a number that can be used to divide another number number evenly. For example, a factor of 20 is 2.

<h3>How many plants are in each row? </h3>

The number of plant in each row would be a factor of 15 that is between 4 and 8.

Factors of 15 = 1, 3, 5, 15.

To learn more factor, please check: brainly.com/question/26073850

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The Metropolitan Bus Company claims that the mean waiting time for a bus during rush hour is less than 5 minutes. A random sampl

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Answer:

Decision is reject the $H_0$ as There is sufficient evidence to support the claim that the mean time is less then 5 minutes.

Step-by-step explanation:

Consider the provided information.

The mean waiting time for a bus during rush hour is less than 5 minutes.

Thus the null hypothesis is:

$H_0: \mu\geq 5$

$H_1: \mu< 5$

A random sample of 20 waiting times has a mean of 3.7 minutes with a standard deviation of 2.1 minutes. At α = 0.01,

Now use the table to find the z value, where α = 0.01,

$t_L = -2.3264$

The value of n is 20, sample mean is 3.7, population mean is 5 and standard deviation is 2.1.

Now, use the formula: Standardized test statistic for z-scores = $t=\frac{\bar x-\mu_0}{{s}/{\sqrt{n} }}$ .

Substitute the respective values in the above formula.

$t=\frac{3.7-5}{{2.1}/{\sqrt{20} }}$

$t=\frac{-1.3}{0.47}$

$t=-2.768465115\approx-2.77$

As, the test statistic is in the reject interval, so reject $H_0$

There is sufficient evidence to support the claim that the mean time is less then 5 minutes.

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A sample is random when all subjects have an equal opportunity of being chosen, no discrimination and nothing favoured over the other.

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The endpoints of AB are A(2, 3) and B(8, 1). The perpendicular bisector of AB is CD, and point C lies on AB. The length of CD is

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Comment
If C lies on AB Then it must be the midpoint of AB because CD is the Perpendicular Bisector of AB

Midpoint
A(2,3) B(8,1)
Midpoint formula = (x1 + x2)/2 + (y1 + y2)/2
Midpoint = (2 + 8)/2 + (3 + 1) / 2
Midpoint = 10/2 + 4/2
Midpoint = (5,2) <<<<< answer

Slope AB
slope = (y2 - y1)/(x2 - x1)
slope = (3 - 1) / (2 - 8)
slope = 2/-6 = -1/3

Slope CD
CD_slope * AB_slope = - 1
CD_slope * -1/3 = -1 multiply both sides by - 3
CD_slope * 1 = - 1 * -3
CD_slope = 3 <<<<< Slope CD Answer

Equation CD
Given the midpoint of AB which is C( and the slope of CD
y = 3x + b
2 = 3*5 + b
b = - 13
Equation y = 3x - 13

Using Distance to get D
d^2 = (x1 - x2)^2 + (y2 - y1)'^2
d^2 = (x2 - 5)^2 + (y2 - 2)^2
y2 = 3*x2 - 13
10 = x2^2 - 10x2 + 25 + (3x2 - 13 - 2)^2
10 = x2^2 - 10x2 + 25 + (3x2 - 15)^2
10 = x1^2 - 10x2 + 25 + 9x^2 - 90x2 + 225
10 = 10x2^2 - 100x2 +250
0 = 10x2^2 - 100x2 + 240 Divide through by 10
0 = x2^2 - 10x^2 + 24
0 = (x2 - 6)(x2 - 4)

x2 = 6 or
x2 = 4

Using y2 = 3x - 13
for x2 = 4
then y2 = 3(4) - 13
y2 = - 1

for x2 = 6
y2 = 3*6 - 13
y2 = 5

Possible Answers for D
D = (4,-1)
D = (6,5)

I've included a graph to show a graphical solution.

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