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Lana71 [14]
3 years ago
15

If I am in Vermont, then I am in the North.

Mathematics
1 answer:
raketka [301]3 years ago
6 0
The correct answer is D.

This is because a converse statement switches the places of the hypothesis and conclusion.
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I need help with this ( please help me )
Gnom [1K]

Answer:

<7=120

<8=60

Step-by-step explanation:

<2 and <7 are alternate exterior angles. <7 and <8 are complementary sor just do 180-120 and you will get 60

3 0
3 years ago
Consider a paint-drying situation in which drying time for a test specimen is normally distributed with σ = 7. The hypotheses H0
pshichka [43]

Answer:

(a) The value \bar x = 72.3 is 1.21 standard deviations below the null value of <em>μ</em>.

(b) The mean drying time of paint is not less than 74.

Step-by-step explanation:

The hypothesis for the single mean test is:

<em>H₀</em>: <em>μ</em> = 74 vs. <em>Hₐ</em>: μ < 74.

The information provided is:

<em>σ</em> = 7

<em>n</em> = 25

As the population standard deviation is known, we will use a <em>z</em>-test for single mean.

(a)

The <em>z</em>-score is a Normal distribution with mean 0 and variance 1. It is also defined as the number of standard deviations a raw score is from the mean.

The <em>z</em>-score for sample mean is given by:

z=\frac{\bar x-\mu}{\sigma/\sqrt{n}}

If \bar x = 72.3 compute the corresponding <em>z</em>-score as follows:

z=\frac{\bar x-\mu}{\sigma/\sqrt{n}}

  =\frac{72.3-74}{7/\sqrt{25}}\\=-1.21

Thus, the value \bar x = 72.3 is 1.21 standard deviations below the null value of <em>μ</em>.

(b)

So the test statistic is, <em>z</em> = -1.21.

Compute the <em>p</em>-value of the test as follows:

p-value=P(Z

*Use a <em>z</em>-table.

The decision rule says to, reject the null hypothesis if the <em>p</em>-value is less than the significance level <em>α</em> = 0.01 and vice-versa.

<em>p</em>-value = 0.1131 < <em>α</em> = 0.01

The null hypothesis was failed to be rejected.

Thus, the mean drying time of paint is not less than 74.

6 0
2 years ago
Expanded form<br>a. 54896​
Semenov [28]
  • 54896=<em><u>5</u></em><em><u>0</u></em><em><u>,</u></em><em><u>0</u></em><em><u>0</u></em><em><u>0</u></em><em><u>+</u></em><em><u>4</u></em><em><u>0</u></em><em><u>0</u></em><em><u>0</u></em><em><u>+</u></em><em><u>8</u></em><em><u>0</u></em><em><u>0</u></em><em><u>+</u></em><em><u>9</u></em><em><u>0</u></em><em><u>+</u></em><em><u>6</u></em>
6 0
3 years ago
Read 2 more answers
At the beginning of year 1, Bode invests $250 at an annual simple interest rate of 3%. He makes no deposits to or withdrawals fr
xz_007 [3.2K]

Answer:

D.A(n) = 250 + (n – 1)(0.03 • 250); $347.50

Step-by-step explanation:

we know that

The simple interest formula is equal to

A=P(1+rt)

where

A is the Final Investment Value

P is the Principal amount of money to be invested

r is the rate of interest  

t is Number of Time Periods

in this problem we have

t=(14-1)=13\ years\\ P=\$250\\r=0.03

substitute in the formula above

A=\$250(1+0.03*13)

A=\$250(1.39)=\$347.50

8 0
3 years ago
Write the product using exponents.<br><br> 6.4.6.4.6.4.6.4.b.b.b
maks197457 [2]

Step-by-step explanation:

I count four 6s, four 4s and three b.

so, we have

6⁴×4⁴×b³ or (using the same symbols as above)

6⁴.4⁴.b³

4 0
3 years ago
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