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4 years ago

Which expression is equivalent to -3/4(2/3+5/6)

Mathematics

1 answer:

Luba_88 [7]4 years ago

8 0

-.75(.66+1.2) is equivalent to -3/4(2/3+5/6) and your answer would be -1.395

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Listed below are the lead concentrations in mu ??g/g measured in different traditional medicines. Use a 0.10 0.10 significance l

laiz [17]

Answer:

We conclude that the mean lead concentration for all such medicines is less than 17 mu.

Step-by-step explanation:

We are given below are the lead concentrations in mu;

6.5 18.5 21.5 5.5 8.5 4.5 4.5 17.5 15.5 20

We have to test the claim that the mean lead concentration for all such medicines is less than 17 mu.

Let $\mu$ = mean lead concentration for all such medicines.

So, Null Hypothesis, $H_0$ : $\mu$ = 17 mu {means that mean lead concentration for all such medicines is equal to 17 mu}

Alternate Hypothesis, $H_A$ : $\mu$ < 17 mu {means that the mean lead concentration for all such medicines is less than 17 mu}

The test statistics that would be used here One-sample t test statistics as we don't know about population standard deviation;

T.S. = $\frac{\bar X-\mu}{\frac{s}{\sqrt{n}}}$ ~ $t_n_-_1$

where, $\bar X$ = sample mean lead concentration = $\frac{\sum X}{n}$ = 12.25 mu

s = sample standard deviation = $\sqrt{\frac{\sum (X-\bar X)^{2} }{n-1} }$ = 6.96 mu

n = sample size = 10

So, test statistics = $\frac{12.25 -17}{\frac{6.96}{\sqrt{10}}}$ ~ $t_9$

= -2.16

The value of t test statistics is -2.16.

Now, the P-value of the test statistics is given by the following formula;

P-value = P( $t_9$ < -2.16) = 0.031

Now, at 0.10 significance level the t table gives critical value of -1.383 for left-tailed test. Since our test statistics is less than the critical value of t as -2.16 < -1.383, so we have sufficient evidence to reject our null hypothesis as it will fall in the rejection region due to which we reject our null hypothesis.

Therefore, we conclude that the mean lead concentration for all such medicines is less than 17 mu.

7 0

4 years ago

Triangle XYZ has vertices X(6,-2.3) Y(7.5,5) and Z(8,4) When translated X' has coordinates (2.8, - 1.3). Write a rule to describ

Nezavi [6.7K]

To find how much that you have to translate:
X'-X
[2.8-6,-1.3-(-2.3)]
->(x-3.2,y+1)
so Y'(4.3,6) and Z'(4.8,5)

6 0

4 years ago

Algebraic equations <img src="https://tex.z-dn.net/?f=x%20%2B%2020%20%3D%20100" id="TexFormula1" title="x + 20 = 100" alt="x

Setler [38]

Answer:

x = 80

Step-by-step explanation:

The whole reason algebra exists is to solve for a variable. Therefore, the only way to get x by itself or to see what x equals is to subtract 20 from both sides. Doing this will make x be all alone on one side of the equation and to see what x is.

x + 20 = 100

x + 20 -20 = 100 -20

x = 80

4 0

4 years ago

HELP ‼️‼️‼️ convert the measurement. 70in/sec = ft/min

USPshnik [31]

Answer:

70 in/sec = 350 ft/min

8 0

3 years ago

Read 2 more answers