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inysia [295]
2 years ago
8

Emily and Andy each go to a hardware store to buy wire. The table shows the cost y in dollars for x inches of the wire they need

. Emily needs 23 feet of the wire. Andy needs 15 yards of the wire. How much will each of them spend for​ wire?
Mathematics
1 answer:
Arisa [49]2 years ago
6 0

There is no table to look at.

Anyways, to solve for the amount they will spend you will have to do some conversions to switch yards and feet to inches. Additonally, there is also a rate missing which is the cost per inch.

So here is what you’ll have to do…

1. Solve for the slope of the equation

2. See if this linear equation has a y-intercept. It can be done by looking at the table to see where x=0 or by solving using y=mx+b where you substitite the slope for “m” and any coordinate that lies on the graph for “y” and “x” to then solve for “b” which is the y-int.

3. Then write out your equation.

4. Make the conversions

5. Solve for the cost by subtituting the units of measurement into the “x”.

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A certain standardized test's math scores have a bell-shaped distribution with a mean of 530 and a standard deviation of 119. Co
kumpel [21]

Answer:

a) 68.2%

b) 31.8%

c) 2.3%

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 530

Standard Deviation, σ = 119

We are given that the distribution of math scores is a bell shaped distribution that is a normal distribution.

Formula:

z_{score} = \displaystyle\frac{x-\mu}{\sigma}

a) P(test scores is between 411 and 649)

P(411 \leq x \leq 649)\\\\= P(\displaystyle\frac{411 - 530}{119} \leq z \leq \displaystyle\frac{649-530}{119})\\\\= P(-1 \leq z \leq 1)\\\\= P(z \leq 1) - P(z < -1)\\= 0.841 - 0.159 = 0.682 = 68.2\%

b) P(scores is less than 411 or greater than 649)

P(x < 411 < x, x > 649)\\=1 = P(411 \leq x \leq 649)\\=1 - 0.682\\=0.318 = 31.8\%

c) P(score greater than 768)

P(x > 768)

P( x > 768) = P( z > \displaystyle\frac{768 - 530}{119}) = P(z > 2)

= 1 - P(z \leq 2)

Calculation the value from standard normal z table, we have,  

P(x > 768) = 1 -0.977 = 0.023 = 2.3\%

5 0
3 years ago
Can you help me out on this one
Bad White [126]

Answer:

I think the answer is C if I'm wrong sorry its been two years since i last learnt this

Step-by-step explanation:

6 0
3 years ago
Essential: Solve the proportions<br> step by step ​
vazorg [7]

Answer:

The value of r=\frac{-106}{47}

The value of x=\frac{83}{32}

Step-by-step explanation:

Given that,

A) \frac{2r-2}{7r+10} = \frac{9}{8}

Now,

\frac{2r-2}{7r+10} = \frac{9}{8}

8(2r-2)=9(7r+10)

16r-16=63r+90

-16-90=63r-16r

-(16+90)=47r

-106=47r

r=\frac{-106}{47}

B) \frac{x+4}{9} = \frac{3(x-2)-1}{5}

Now,

\frac{x+4}{9} = \frac{3(x-2)-1}{5}

5(x+5)=9[3(x-2)-1]

5x+25=9[3x-6-1]

5x+25=9[3x-7]

5x+25=27x-63

25+63=27x+5x

83=32x

x=\frac{83}{32}

6 0
3 years ago
A quadratic function has its vertex at the point (- 3, 8) . The function passes through the point (0, 0) . When written in verte
SIZIF [17.4K]

Answer:

f(x) = -8/3(x+3)+8

a = -8/3

b = technically equals -3 but when we plug it in it gets turned into 3 *double negative

k = 8

Step-by-step explanation:

Vertex: (h,k)

Use the points (0,0) and (-3,8) to find the slope

y2-y1/x2- x1

6 0
2 years ago
Find the approximate side length of a square game board with the area of 137 in
Mamont248 [21]

Answer:

11.7 in

Step-by-step explanation:

5 0
3 years ago
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