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3 years ago

Question in attachment

Mathematics

1 answer:

a_sh-v [17]3 years ago

4 0

Answer:

Option B.

Step-by-step explanation:

Continuous probability distribution : A probability distribution is called a continuous probability distribution, if its random variable X is a continuous variable and it can take infinite values (Real values).

Number of boxes cannot be a decimal value. So, it is not a continuous variable. Thus, option A is incorrect.

Temperature of a day is a continuous variable. So, temperature of a day can be represented using a continuous probability distribution. So, option B is correct.

Marks in a test paper cannot represent a continuous variable. Thus, option C is incorrect.

Number of students who uses the internet cannot be a fractional or decimal value. So, it is not a continuous variable. Thus, option D is incorrect.

Therefore, the correct option is B.

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How many triangles are in the figure?

Dmitry_Shevchenko [17]

36 is the answer. Hope this helped!

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3 years ago

Dwight and Walt are building model cars. Dwight builds 7 fewer models than 4 times the number Walt builds.Dwight builds at most

Yuliya22 [10]

Answer: w lesser than or equal to 4

Step-by-step explanation:

Dwight and Walt are building model cars.

Let d = the number of models built by Dwight.

Let w = the number of models built by Walt.

Dwight builds 7 fewer models than 4 times the number Walt builds. This can be expressed as

d = 4w - 7 - - - - - - - - - 1

Dwight builds at most 9 models. This is expressed as

d lesser than or equal to 9

From equation 1

d = 4w - 7

4w = d + 7

w = (d+7)/4

Assuming Dwight built 9 models

w = (9+7)/4 = 4

Therefore,

Walt builds at most 4 models. It is expressed as

w lesser than or equal to 4

It is shown in the attached photo

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3 years ago

Read 2 more answers

1.4 metres is the same one of which one: 1400mm

dimaraw [331]

$m-meter\\mm-millimeter\\cm-centimeter\\\\1m=1,000mm\ \ \ (mili=0.001\ of\ some\ unit)\\1m=100cm\ (centi=0.01\ of\ some\ unit)\\1.4m=1.4\times1,000mm=\huge\boxed{1,400mm}\\\\1.4m=1.4\times100cm=\huge\boxed{140cm}$

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3 years ago

A random sample of 16 students selected from the student body of a large university had an average age of 25 years. We want to d

kenny6666 [7]

Answer:

$z=\frac{25-24}{\frac{2}{\sqrt{16}}}=2$

$p_v =2*P(Z>2)=0.0455$

If we compare the p value and the significance level given $\alpha=0.05$ 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 true mean differs from 24 at 5% of significance

Step-by-step explanation:

Data given and notation

$\bar X=25$ represent the sample mean

$\sigma=2$ represent the sample population deviation for the sample

$n=16$ sample size

$\mu_o =24$ represent the value that we want to test

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

t would represent the statistic (variable of interest)

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

State the null and alternative hypotheses.

We need to conduct a hypothesis in order to check if the true mean is different from 24, the system of hypothesis would be:

Null hypothesis: $\mu = 24$

Alternative hypothesis: $\mu \neq 24$

If we analyze the size for the sample is < 30 but we know the population deviation so is better apply a z test to compare the actual mean to the reference value, and the statistic is given by:

$z=\frac{\bar X-\mu_o}{\frac{\sigma}{\sqrt{n}}}$ (1)

z-test: "Is used to compare group means. Is one of the most common tests and is used to determine if the mean is (higher, less or not equal) to an specified value".

Calculate the statistic

We can replace in formula (1) the info given like this:

$z=\frac{25-24}{\frac{2}{\sqrt{16}}}=2$

P-value

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

$p_v =2*P(Z>2)=0.0455$

Conclusion

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4 years ago

What is 2s + 4 <10 - 8s

Naya [18.7K]

The answer is s < 3/5

An alternative form would be s < 0.6

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3 years ago