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kap26 [50]
3 years ago
14

15 times 2 to 2to the second power minuses (42 divided by 6) plus 58

Mathematics
1 answer:
DedPeter [7]3 years ago
8 0
Hope this equation is correct and helps you

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Tom has 12 cards with the numbers 1 to 12 on them.
Anna71 [15]

Answer:

5/12

Step-by-step explanation:

Given that,

Total no of cards = 12 with numbers 1 to 12

We need to find the probability of getting 5.

Probability = favourable outcomes/total no of outcomes

Favourable outcomes is 5 as it come one time

Total no of outcome = 12 (total no of cards)

So,

P(5)=\dfrac{5}{12}

Hence, the probability of getting 5 is 5/12.

8 0
3 years ago
The Ohio Department of Agriculture tested 203 fuel samples across the state
Rus_ich [418]

Answer:

\hat p = \frac{14}{105}= 0.133

And that represent the proportion of failures.

The confidence interval for the mean is given by the following formula:  

\hat p \pm z_{\alpha/2}\sqrt{\frac{\hat p (1-\hat p)}{n}}

If we replace the values obtained we got:

0.133 - 2.58\sqrt{\frac{0.133(1-0.133)}{105}}=0.0475

0.133 + 2.58\sqrt{\frac{0.133(1-0.133)}{105}}=0.2185

The 99% confidence interval would be given by (0.0475;0.2185)

Step-by-step explanation:

Previous concept

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".  

The margin of error is the range of values below and above the sample statistic in a confidence interval.  

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".  

The population proportion have the following distribution

p \sim N(p,\sqrt{\frac{p(1-p)}{n}})

Solution to the problem

In order to find the critical value we need to take in count that we are finding the interval for a proportion, so on this case we need to use the z distribution. Since our interval is at 99% of confidence, our significance level would be given by \alpha=1-0.99=0.01 and \alpha/2 =0.005. And the critical value would be given by:

z_{\alpha/2}=-2.58, z_{1-\alpha/2}=2.58

The proportion estimated would be:

\hat p = \frac{14}{105}= 0.133

And that represent the proportion of failures.

The confidence interval for the mean is given by the following formula:  

\hat p \pm z_{\alpha/2}\sqrt{\frac{\hat p (1-\hat p)}{n}}

If we replace the values obtained we got:

0.133 - 2.58\sqrt{\frac{0.133(1-0.133)}{105}}=0.0475

0.133 + 2.58\sqrt{\frac{0.133(1-0.133)}{105}}=0.2185

The 99% confidence interval would be given by (0.0475;0.2185)

3 0
3 years ago
Read 2 more answers
A 4ft piece of pipe needs to be divided into pieces that are 2/3ft long. How many pieces are made? How many remaining?
Katen [24]
4ft divided by 2/3ft

4/1 divided by 2/3 

4/1 times 3/2 is 12/2 or 6 pieces, 0 remaining.
3 0
3 years ago
3(5b-1)=5<br> solve for b<br><br> 4(3y-1)=20<br> solve for y
Gnom [1K]
3(5b-1)=5
Get rid of the brackets
15b-3=5
add 3 to both sides of the equation
15b=8
divide both sides of the equation by 15
b=0.53

4(3y-1)=20
12y-4=20
12y=24
y=0.5
7 0
2 years ago
Graph the function: y=x-5​
ANEK [815]

Answer:

Step-by-step explanation:

3 0
2 years ago
Read 2 more answers
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