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2 years ago

Ruby is making three tablecloths. He has 10 yards of fabric. How many yards of fabric will he use to make each tablecloth?

2 answers:

7 0

3 table cloths 10 yards fabric
------------------ = --------------------
1 table cloth x

Then 3x = 10, and x = 3 1/3 yards of fabric per tablecloth.

Ray Of Light [21]2 years ago

6 0

If he will be making each tablecloth of equal size, then they will be 3 1/3 yards each, also could be shown as 10 feet, because 10 ÷ 3 = 3 1/3.
Hope this helps!

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MORE EASY 7TH GRADE MATH X/2=95 THANK YOU

SIZIF [17.4K]

Answer:

X/2=95

X= 95*2

X=190

Step-by-step explanation:

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2 years ago

Read 2 more answers

Write a quadratic equation in standard form with the given roots

stich3 [128]

${x}^{2} - \frac{15x}{2} + \frac{7}{2}$

Step-by-step explanation:

So we go backwards, since we have x= 1/2 , 7

$(x - \frac{1}{2} )(x - 7)$

Now we have to foil to get the quadratic

${x}^{2} - 7x - \frac{1}{2} x + \frac{7}{2}$

We must simplify the terms

${x}^{2} - \frac{14x}{2} - \frac{x}{2} + \frac{7}{2}$

Our final result comes out to be

${x}^{2} - \frac{15x}{2} + \frac{7}{2}$

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2 years ago

A manufacturer of chocolate chips would like to know whether its bag filling machine works correctly at the 450 gram setting. It

Arturiano [62]

Answer:

Test statistic = -2.25

P-value = 0.0199

Step-by-step explanation:

We are given the following in the question:

Population mean, μ = 450 gram

Sample mean, $\bar{x}$ = 441 grams

Sample size, n = 16

Alpha, α = 0.05

Sample variance = 256

$\sigma^2 = 256\\\sigma = \sqrt{256} = 16$

First, we design the null and the alternate hypothesis

$H_{0}: \mu = 450\text{ grams}\\H_A: \mu < 450\text{ grams}$

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

Formula:

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

Putting all the values, we have

$t_{stat} = \displaystyle\frac{441 - 450}{\frac{16}{\sqrt{16}} } = -2.25$

Now,

Degree of freedom =

$=n-1 = 16-1=15$

We can calculate the p-value from the table as:

P-value = 0.0199

Conclusion:

Since the p-value is smaller than the significance level we fail to accept the null hypothesis and reject it.

Thus, there is enough evidence to support the claim that the machine is under filling the bags .

5 0

2 years ago

Please help with solving

Makovka662 [10]

N.O = 4
N is midpoint of M.0
Meaning M.N also has to be 4
4+4= 8
N.P = 6
0.P = 2
8+ 2 = 10

4 0

2 years ago

slader Suppose that 8% of all bicycle racers use steroids, that a bicyclist who uses steroids tests positive for steroids 96% of

d1i1m1o1n [39]

Answer:

P = 0.4812

Step-by-step explanation:

First, we need to use here two expressions and then do the calculations.

The first one is the conditional probability which is:

P(B|A) = P(A∩B)/P(A) (1)

The second expression to use has relation with the Bayes's theorem which is the following:

P(D|C) = P(C|D)*P(D) / P(C|D)*P(D) + P(C|d)*P(d) (2)

Now, the expression (2) is the one that we will use to calculate the probability of a selected random bicyclist who tests positive for steroids.

So, in this case, we will call C for positive and D that is using steroids and d is the opposite of d, which means do not use steroids.

Then, the probabilities are the following:

P(D) = 8% or 0.08

P(C|D) = 96% or 0.96

P(C|d) = 9% or 0.09

P(d) = 1 - 0.08 = 0.92

With these data, let's replace in expression 2

P(D|C) = 0.96 * 0.08 /0.96 * 0.08 + 0.09*0.92

P(D|C) = 0.0768 / 0.1596

P(D|C) = 0.4812 or 48.12%

8 0

2 years ago