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vichka [17]
3 years ago
6

A direct variation function contains the points (–8, –6) and (12, 9). Which equation represents the function? y = –4/3x y = –3/4

x y =3/4x y = 4/3x
Mathematics
1 answer:
Roman55 [17]3 years ago
8 0

Answer:

We need to get the slope first

m=Y2-Y1/X2-X1

=9-(-6)/12-(-8)

=15/20

=3/4

so the answer is the one with 3/4 slope that is Y=3/4x

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The expression for the total amount of apples is 29x

<em><u>Solution:</u></em>

Given that,

Sarah has 12 bags of apples

Mikaela has 17 bags of apples

Each bag has the same amount of apples inside

Let "x" be the number of apples in each bag

Then,

Sarah has 12x apples

Mikaela has 17x apples

<em><u>Wrie an expression for the total amount of apples</u></em>

Total amount of apples = 12x + 17x

<em><u>Then simplify it using the distributive property to create an equivalent expression</u></em>

By distributive property,

a(b + c) = ab + bc

Therefore,

12x+17x = x(12+17)\\\\12x+17x = 29x

Thus expression for the total amount of apples is 29x

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3 years ago
11. Mrs. Jackson buys bottles of juice. Her
sergeinik [125]

Answer:

4 so B

Step-by-step explanation:

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A path 5m wide is to be built along the border and inside a square garden of side 90m. Find the cost of cementing the path at th
gizmo_the_mogwai [7]

Answer:

Total cost of cementing the path = Rs. 17,000.

Step-by-step explanation:

Let the square garden be ABCD

Let the region inside the garden (ABCD) be WXYZ.

<u>Given the following data;</u>

Length of sides of ABCD = 90m

Width of path = 5m

Cost = Rs. 10 per m²

Area of ABCD = 90 * 90

Area of ABCD = 8100m²

<em>To find the area of WXYZ;</em>

WX = WZ = 90 - (5 + 5)

WX = WZ = 90 - 10

WX = WZ = 80m

Area of WXYZ = WX * WZ

Substituting into the equation, we have;

Area of WXYZ = 80 * 80

Area of WXYZ = 6400 m²

Area of path = Area of ABCD - Area of WXYZ

Area of path = 8100 - 6400

Area of path = 1700 m²

Total cost of cementing the path = Area of path * cost

Total cost of cementing the path = 1700 * 10

<em>Total cost of cementing the path = Rs. 17,000</em>

6 0
3 years ago
Order of operations my question is 4×4+3
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Answer:

1. multiply 4x4 (which equals 16)

2. add that answer to 3 (which equals 19)

Step-by-step explanation:

Use PEMDAS (Solve in parentheses first, then exponents, multiplication, division, addition, and subtraction in that order) for the correct order of operations

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An Austrian study was completed to determine if untrained sea lions and sea lionesses could follow various experimenter-given cu
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Using the z-distribution, it is found that since the test statistic is greater than the critical value for the right-tailed test, this result shows that Zwerg can correctly follow this type of direction by an experimenter more than 50% of the time.

<h3>What are the hypothesis?</h3>
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H_0: p \leq 0.5

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The <em>test statistic</em> is given by:

z = \frac{\overline{p} - p}{\sqrt{\frac{p(1-p)}{n}}}

In which:

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  • p is the proportion tested at the null hypothesis.
  • n is the sample size.

For this problem, the parameters are:

n = 48, \overline{p} = \frac{37}{48} = 0.7708, p = 0.5

The value of the <em>test statistic</em> is:

z = \frac{\overline{p} - p}{\sqrt{\frac{p(1-p)}{n}}}

z = \frac{0.7708 - 0.5}{\sqrt{\frac{0.5(0.5)}{48}}}

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Since the test statistic is greater than the critical value for the right-tailed test, this result shows that Zwerg can correctly follow this type of direction by an experimenter more than 50% of the time.

To learn more about the z-distribution, you can take a look at brainly.com/question/16313918

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