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marshall27 [118]
3 years ago
5

Multiple choice plz plz help! And explain :) thank u!

Mathematics
1 answer:
kolbaska11 [484]3 years ago
6 0
It all the way across a circle so 

7.3+7.3=14.6 so that your answer

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A blackjack is a 10-point card and an ace for a value of 21. Use your answers to parts (a), (b), and (c) to determine the probab
kondor19780726 [428]

Answer:

Results:

0.1432

0.0045

0.0905

0.0483

Step-by-step explanation:

Step a:

P(A or 10, A or 10) = 20/52 * 19/51 = 5/13 / 19/51 = 95/663 = 0.1432

Step b:

P(A A) = 4/52 * 3/51 = 1/13 * 1/17 = 1/221 = 0.0045

Step c:

P(10 10) = 16/52 * 15/51 = 4/13 * 5/17 = 20/221 = 0.0905

Step d:

P(A 10 or 10 A) = 2 * 4/52 * 16/51 = 2/13 * 16/51 = 32/663 = 0.0483

As well we get the probability by subtracting a,  b and c:  

P(blackjack): 0.1432 - 0.0905 - 0.0045 = 0.0482  

7 0
3 years ago
Given y=3x-7. When x = 0 what is the value of y
MissTica

Answer:

-7

Step-by-step explanation:

y=3x-7

x=0 ⇒ y= 3*0-7= -7

7 0
3 years ago
What is the probability of getting a odd number when you roll a dice
Alexxx [7]

Answer:

50% (1/2)

Step-by-step explanation:

3 of the 6 sides that exist on a dice have odd numbers.

8 0
3 years ago
Read 2 more answers
2.06. In a study to estimate the proportion of residents in a certain city and its suburbs who favor the construction of a nucle
DaniilM [7]

Answer:

z=\frac{0.74-0.56}{\sqrt{0.64(1-0.64)(\frac{1}{100}+\frac{1}{125})}}=2.795  

p_v =2*P(Z>2.795)= 0.005  

So if we compare the p value and using any significance level for example \alpha=0.05 we see that p_v so we can conclude that we have enough evidence to reject the null hypothesis, and we can conclude that the proportions are different at 5% of significance.  

Step-by-step explanation:

Data given and notation  

X_{1}=74 represent the number of residents in a certain city and its suburbs who favor the construction of a nuclear power plant

X_{2}=70 represent the number of people suburban residents are in favor

n_{1}=100 sample 1 selected

n_{2}=125 sample 2 selected

p_{1}=\frac{74}{100}=0.74 represent the proportion of residents in a certain city and its suburbs who favor the construction of a nuclear power plant

p_{2}=\frac{70}{125}=0.56 represent the proportion of suburban residents are in favor

z would represent the statistic (variable of interest)  

p_v represent the value for the test (variable of interest)

Concepts and formulas to use  

We need to conduct a hypothesis in order to check if the proportions are different, the system of hypothesis would be:  

Null hypothesis:p_{1} = p_{2}  

Alternative hypothesis:p_{1} \neq p_{2}  

We need to apply a z test to compare proportions, and the statistic is given by:  

z=\frac{p_{1}-p_{2}}{\sqrt{\hat p (1-\hat p)(\frac{1}{n_{1}}+\frac{1}{n_{2}})}}   (1)

Where \hat p=\frac{X_{1}+X_{2}}{n_{1}+n_{2}}=\frac{74+70}{100+125}=0.64

Calculate the statistic

Replacing in formula (1) the values obtained we got this:  

z=\frac{0.74-0.56}{\sqrt{0.64(1-0.64)(\frac{1}{100}+\frac{1}{125})}}=2.795  

Statistical decision

The significance level provided is \alpha=0.05 ,and we can calculate the p value for this test.  

Since is a two tailed test the p value would be:  

p_v =2*P(Z>2.795)= 0.005  

So if we compare the p value and using any significance level for example \alpha=0.05 we see that p_v so we can conclude that we have enough evidence to reject the null hypothesis, and we can conclude that the proportions are different at 5% of significance.  

5 0
3 years ago
Which expression is equivalent to 4√6/3
Nookie1986 [14]

Answer:

\frac{4}{3}{\sqrt3}

Step-by-step explanation:

The question seem incomplete;

The full question is

<em>Which expression is equivalent to 4√6/3√2 </em>

<em></em>

Given

4√6/3√2

Required

Find equivalent

4\sqrt6/3\sqrt2

Rewrite Expression

\frac{4\sqrt6}{3\sqrt2}

Expand the above expression

\frac{4\ *\ \sqrt6}{3\ * \ \sqrt2}

Further split the fraction

\frac{4}{3}\ *\ \frac{\sqrt6}{\sqrt2}

Using rule of surds;

\frac{\sqrt a}{\sqrt b} = \sqrt{\frac{a}{b}}

So, the above expression becomes

\frac{4}{3}\ *\ \sqrt{\frac{6}{2}}

\frac{4}{3}\ *\ {\sqrt3}

\frac{4}{3}{\sqrt3}

At this stage, the expression cannot be further simplified;

Hence, 4√6/3√2  = \frac{4}{3}{\sqrt3}

4 0
3 years ago
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