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salantis [7]
3 years ago
9

19/23 Marks

Mathematics
1 answer:
PilotLPTM [1.2K]3 years ago
4 0

Answer:

0.28

Step-by-step explanation:

Let p be the probability of pasta.

Total probability is = 1

Therefore,

0.3 + 0.42 + p = 1

0.72 + p = 1

p = 1 - 0.72

p = 0.28

The probability that it will be pasta is 0.28

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You have measured the systolic blood pressure of a random sample of 25 employees of a company located near you. A 95% confidence
Alla [95]

Answer:

122 \leq \mu \leq 138

The 95% confidence interval would be given by (122;138)

And the correct interpretation for this case is:

c. If the procedure were repeated many times, 95% of the resulting confidence intervals would contain the population mean systolic blood pressure.

Step-by-step explanation:

Previous concepts

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 % where by 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".  

Solution to the problem

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

\bar X \pm t_{\alpha/2}\frac{s}{\sqrt{n}} (1)  

In order to calculate the critical value t_{\alpha/2} we need to find first the degrees of freedom, given by:  

df=n-1=25-1=24  

Since the Confidence is 0.95 or 95%, the value of \alpha=0.05 and \alpha/2 =0.025, and we can use excel, a calculator or a table to find the critical value. The excel command would be: "=-T.INV(0.025,24)".And we see that t_{\alpha/2}=2.06  

Now we have everything in order to replace into formula (1), for this case we got:

122 \leq \mu \leq 138

The 95% confidence interval would be given by (122;138)

And the correct interpretation for this case is:

c. If the procedure were repeated many times, 95% of the resulting confidence intervals would contain the population mean systolic blood pressure.

6 0
3 years ago
Evaluate −12(−2).<br> 14<br> −14<br> −24<br> 24
bixtya [17]
The answer would be positive 24. The reason being is because of the fact that two negatives when multiplied cancel the negative. Also 12 * 2 is 24 so yeah
5 0
3 years ago
Read 2 more answers
What is the simplified form of the following expression? 13[62 ÷ (52 – 42) + 9]
tatuchka [14]

Answer:

197.6

Step-by-step explanation:

Order of Operations: BPEMDAS

Step 1: Write expression

13[62 ÷ (52 - 42) + 9]

Step 2: Brackets - Parenthesis (Subtract)

13[62 ÷ 10 + 9]

Step 3: Brackets - Division

13[6.2 + 9]

Step 4: Brackets - Addition

13[15.2]

Step 5: Multiply

197.6

3 0
3 years ago
Read 2 more answers
cho tứ giác ABCD. Gọi M,N,P,Q là trung điểm của các cạnh AB, CD, AD, BC. Chứng minh rằng vecto MP = vecto QN, vecto MQ = vecto P
Dmitriy789 [7]

Answer:

Step-by-step explanation:

Xét tam giác DAB có: P là trung điểm AD, M là trung điểm AB

=> MP là đường trung bình của tam giác DAB => MP//BD và MP=\frac{1}{2}BD  (1)

Xét tam giác DBC có: N là trung điểm DC, Q là trung điểm BC

=> QN là đường trung bình của tam giác DBC => QN//BD và QN=\frac{1}{2}BD  (2)

Từ (1) và (2) => vecto MP song song cùng chiều với vecto QN

và độ dài MP = độ dài QN = \frac{1}{2}BD

=> vecto MP = vecto QN

Tương tự xét các tam giác DAC và tam giác ABC => vecto MQ = vecto PN

4 0
3 years ago
Help. rhombus JKLM is shown below. Find m&lt;KLM
pantera1 [17]

Answer: It's 76 (sorry, I answered it wrong!)

Step-by-step explanation:

In a rhombus, the diagonals split the angles into two equal parts. If one part of the angle is 38, then the other part is 38. Add up both of them, and you'll get the entirety of angle L, which is 76.

6 0
3 years ago
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