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2 years ago

5

MATH1314-1043,1044 16wks SPR21

1 answer:

Brilliant_brown [7]2 years ago

6 0

Step-by-step explanation:

how where is the graph cause I don't understand that

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0.25 in a fraction would be 1/4

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During second period, Janet completed a grammar worksheet.

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Suppose a horticulturist measures the aboveground height growth rate of four different ornamental shrub species grown in a green

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Complete Question

The complete question is shown on the first uploaded image

Answer:

The decision is to <u>reject</u> the <u> null hypothesis</u> at a significant level of <u>significance </u> $\alpha = 0.05$ There is <u>sufficient </u> evidence to conclude that <u>at least one of the population mean</u> is <u>different from</u> <u>at least of the population</u>

Step-by-step explanation:

From the question we are told that the claim is

The mean growth rates of all four species are equal.

The null hypothesis is

$H_o : \mu _1 = \mu_2 = \mu_3 = \mu_4$

Th alternative hypothesis is

$H_a: at \ least \ one \ of \ the \ means \ is \not\ equal$

From question the p-value is $p-value = 0.015$

And since the $p-value < \alpha$ so the null hypothesis will be rejected

So

The decision is to <u>reject</u> the <u> null hypothesis</u> at a significant level of <u>significance </u> $\alpha = 0.05$ There is <u>sufficient </u> evidence to conclude that <u>at least one of the population mean</u> is <u>different from</u> <u>at least of the population</u>

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A 3. On a recent shopping trip, you see a sale advertising 4 pairs of socks and 3 pairs of shoes for $90. Write an equation usin

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The correct answer is D) 4x + 3y = 90.

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y = pairs of shoes
90 = total cost of the sum of socks and shoes

Combining these with the given quantities for each variable:

4x + 3y = 90

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2 years ago

What other points are on the line of direct variation through (5, 12)? Check all that apply. (0, 0) (2.5, 6) (3, 10) (7.5, 18) (

aalyn [17]

we know that

A relationship between two variables, x, and y, represent a direct variation if it can be expressed in the form $y/x=k$ or $y=kx$

in this problem we have

the point $(5,12)$ is on the line of direct variation

so

Find the constant of proportionality k

$y/x=k$ -------> substitute ------> $k=12/5$

the equation is

$y=\frac{12}{5}x$

Remember that

If a point is on the line of direct variation

then

the point must satisfy the equation of direct variation

we're proceeding to verify each point

<u>case A)</u> point $(0,0)$

$x=0\ y=0$

Substitute the value of x and y in the direct variation equation

$0=\frac{12}{5}*0$

$0=0$ -------> is true

therefore

the point $(0,0)$ is on the line of direct variation

<u>case B)</u> point $(2.5,6)$

$x=2.5\ y=6$

Substitute the value of x and y in the direct variation equation

$6=\frac{12}{5}*2.5$

$6=6$ -------> is true

therefore

the point $(2.5,6)$ is on the line of direct variation

<u>case C)</u> point $(3,10)$

$x=3\ y=10$

Substitute the value of x and y in the direct variation equation

$10=\frac{12}{5}*3$

$10=7.2$ -------> is not true

therefore

the point $(3,10)$ is not on the line of direct variation

<u>case D)</u> point $(7.5,18)$

$x=7.5\ y=18$

Substitute the value of x and y in the direct variation equation

$18=\frac{12}{5}*7.5$

$18=18$ -------> is true

therefore

the point $(7.5,18)$ is on the line of direct variation

<u>case E)</u> point $(12.5,24)$

$x=12.5\ y=24$

Substitute the value of x and y in the direct variation equation

$24=\frac{12}{5}*12.5$

$18=30$ -------> is not true

therefore

the point $(12.5,24)$ is not on the line of direct variation

<u>case F)</u> point $(15,36)$

$x=15\ y=36$

Substitute the value of x and y in the direct variation equation

$36=\frac{12}{5}*15$

$36=36$ -------> is true

therefore

the point $(15,36)$ is on the line of direct variation

therefore

<u>the answer is</u>

$(0,0)$

$(2.5,6)$

$(7.5,18)$

$(15,36)$

5 0

2 years ago

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