M and N are two events P(M) = 0.60, P(N) = 0.20, and P (M and N) = 0.1.

LenKa [72]

<span>To multiply two radicals together, we can simply multiply both the values inside the radicals together and put that in a radical.
So for 5*sqrt(45b) * 6*sqrt(48b), we get 30*sqrt(45b*48b) = 30*sqrt(2160b^2). This value can be simplified further by taking out b^2 and 12^2 from the radical giving us the answer 360b*sqrt(15).</span>

3 0

2 years ago

Read 2 more answers

A relationship between x and y is defined by the equation y=3x +1/2 which statements are true of this relationship? Select all t

bezimeni [28]

Answer:

a.

b.

d.

Step-by-step explanation:

4 0

2 years ago

Determine whether ⊂, ⊆, both, or neither can be placed in the blank to make the following true. {prosciutto, olives, kumquats, l

DochEvi [55]

Step-by-step explanation:

We have two sets of elements, we will call them A and B. Let's remember what does each symbol represents:

We say that A ⊆ B (A is included in B) if every element of A is also an element of B.

We say that A ⊂ B (A is strictly included in B) if every element of A is also an element of B, but there is at least one element of B that's not an element of A.

If we look our sets, we can see that all the elements on the second set are included on the first one. But the olives are on the first set and not in the second one. Therefore, the symbol that can be placed in the blank is ⊃.

If we only can use ⊂ or ⊆, without changes, the answer would be neither.

4 0

2 years ago

From Statistics and Data Analysis from Elementary to Intermediate by Tamhane and Dunlop, pg 265. A thermostat used in an electri

Leviafan [203]

Answer:

$t=\frac{201.77-200}{\frac{2.41}{\sqrt{10}}}=2.32$

The degrees of freedom are given by:

$df=n-1=10-1=9$

The p value for this case is given by:

$p_v =2*P(t_{(9)}>2.32)=0.0455$

For this case since the p value is lower than the significance level we have enough evidence to reject the null hypothesis and we can conclude that the true mean is significantly different from 200 F.

Step-by-step explanation:

Information given

data: 202.2 203.4 200.5 202.5 206.3 198.0 203.7 200.8 201.3 199.0

We can calculate the sample mean and deviation with the following formulas:

$\bar X= \frac{\sum_{i=1}^n X_i}{n}$

$\sigma=\sqrt{\frac{\sum_{i=1}^n (X_i -\bar X)^2}{n-1}}$

$\bar X=201.77$ represent the sample mean

$s=2.41$ represent the sample standard deviation

$n=10$ sample size

$\mu_o =200$ represent the value that we want to test

$\alpha=0.05$ represent the significance level for the hypothesis test.

t would represent the statistic

$p_v$ represent the p value for the test

Hypothesis to test

We want to determine if the true mean is equal to 200, the system of hypothesis are :

Null hypothesis: $\mu = 200$

Alternative hypothesis: $\mu = 200$

The statistic for this case is given by:

$t=\frac{\bar X-\mu_o}{\frac{s}{\sqrt{n}}}$ (1)

The statistic is given by:

$t=\frac{201.77-200}{\frac{2.41}{\sqrt{10}}}=2.32$

The degrees of freedom are given by:

$df=n-1=10-1=9$

The p value for this case is given by:

$p_v =2*P(t_{(9)}>2.32)=0.0455$

For this case since the p value is lower than the significance level we have enough evidence to reject the null hypothesis and we can conclude that the true mean is significantly different from 200 F.

4 0

2 years ago

Nina mixed three different solutions in her lab. Solution A has a volume of liter. Solution B has a volume of liter. Solution C

valentina_108 [34]

Answer:

The one that belong in the dividend bracket is the volume for A. The one that belongs in the divisor bracket is volume C.

Step-by-step explanation:

That's my explanation on what the answer is supposed to be.

3 0

2 years ago