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Marat540 [252]
3 years ago
15

Need the answer..Anyone know?​

Mathematics
1 answer:
hodyreva [135]3 years ago
4 0

You need to show us the figure so we can tell you.

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The actual distance from Valparaiso, Indiana to Madison, Wisconsin is 145 miles. If the scale on the map is 1 in = 25 miles, how
lorasvet [3.4K]

Answer:

5.8

Step-by-step explanation:

145/25

5 0
3 years ago
9.)Find the value of x. <br> A.) 75<br> B.) 70 <br> C.) 60 <br> D.) 80
Nikitich [7]
I think it's A but I'm not 100% sure
4 0
2 years ago
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The strength of a certain type of rubber is tested by subjecting pieces of the rubber to an abrasion test. For the rubber to be
My name is Ann [436]

Answer:

Step-by-step explanation:

Hello!

You have the hypothesis that the average weight loss for rubber after an abrasion test is less than 3.5 mg. To test this a large sample of pieces of rubber were sampled and subjected to the abrasion test.

With the given information you must test whether the researcher's hypothesis is sustained or not.

The study variable is,

X: Weight loss of rubber cured in a certain way after being subjected to the abrasion test. (mg)

There is no information about the variable distribution, but since it is said that the sample is a "large number" I'll take it as if it is bigger than 30 and apply the Central Limit Theorem to use the approximation of the sample mean to normal. This way I can use the Z-statistic for the test.

Symbolically the statistic hypothesis is:

H₀: μ ≥ 3.5

H₁: μ < 3.5

α: 0.05 (since is not listed, I'll choose one of the most common signification levels)

You have a one-tailed critical region, this means the p-value will also be one-tailed to the left of the distribution (i.e. →-∞)

The formula of the statistic is:

Z= <u> X[bar] - μ </u> ≈ N(0;1)

        δ/√n

To calculate the statistic you have to use the information given.

The sample mean X[bar]= 3.4 mg

Upper bond of 95% CI= 3.45 mg

The basic structure of a CI for the mean is

"estimator" ± "margin of error"

Upper bound is "estimator" + "margin of error"

Using the formula:

Ub= X[bar] + d ⇒ 3.45= 3.4 + d

⇒ d= 3.45 - 3.4 = 0.05

Where d is the margin of error

d= Z_{1-\alpha /2} * (δ/√n)

d= Z_{0.975} * (δ/√n)

d/Z_{0.975}= (δ/√n)

(δ/√n)= 0.05/ 1.96 = 0.0255

(δ/√n) is the denominator in the formula, corresponds to the standard deviation of the distribution.

Now you have all values and can calculate the statistic under the null hypothesis:

Z= <u> 3.4 - 3.5 </u> = -3.92

       0.0255

And the p-value:

P(Z ≤ -3.92) = 0.000044 ⇒ My Z- table goes up to P(Z ≤ -3.00) = 0.001, so using strictly the table I can say that the probability is less than 0.001.

To calculate the exact probability I've used a statistic program.

p-value < 0.001

I hope it helps!

8 0
3 years ago
Write 2.06•10^10 in standard form.
gavmur [86]

Answer:

20600000000

Step-by-step explanation:

Move the decimal over 10 times

7 0
3 years ago
Read 2 more answers
Simplifying inside parentheses first pt. 2
Brut [27]

Answer:

The answer to your question is the second option

Step-by-step explanation:

Process

Simplify using exponents laws, first inside the parentheses and then outside the parentheses.

                             [\frac{a^{-2}b^{2}}{a^{2}b^{-1}} ]^{-3}

a) Simplify a

                        a⁻² a⁻² = a⁻⁴

b) Simplify b

                        b² b¹ = b³

c) Write the result

                        [\frac{b^{3}}{a^{4}}]^{-3}

d)                      [\frac{a^{4}}{b^{3}}]^{3}

e) Simplify

                       \frac{(a^{4})^{3}}{(b^{3})3}

f) Result

                      \frac{a^{12}}{b^{9}}

5 0
3 years ago
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