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2 years ago

Which numbers are irrational? √16 √100 √53 √26

Mathematics

1 answer:

dlinn [17]2 years ago

7 0

Answer:

√53 √26

Step-by-step explanation:

A rational number includes any whole number, fraction, or decimal that ends or repeats. An irrational number is any number that cannot be turned into a fraction, so any number that does not fit the definition of a rational number.

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A buyer went to the market to buy strawberries. He purchased 120 randomly selected strawberries from a vendor who claimed that n

mafiozo [28]

Answer:

$z=\frac{0.333 -0.25}{\sqrt{\frac{0.25(1-0.25)}{120}}}=2.10$

$p_v =P(z>2.10)=0.018$

At 5% of significance we can conclude that the true proportion of strawberries damage is higher than 0.25

Step-by-step explanation:

Data given and notation

n=120 represent the random sample taken

X=40 represent the number of strawberries damaged

$\hat p=\frac{40}{120}=0.333$ estimated proportion of strawberries damaged

$p_o=0.25$ is the value that we want to test

$\alpha$ represent the significance level

z would represent the statistic (variable of interest)

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

Concepts and formulas to use

We need to conduct a hypothesis in order to test the claim that no more than 25% of his total harvest of strawberries was damaged.:

Null hypothesis: $p\leq 0.25$

Alternative hypothesis: $p > 0.25$

When we conduct a proportion test we need to use the z statistic, and the is given by:

$z=\frac{\hat p -p_o}{\sqrt{\frac{p_o (1-p_o)}{n}}}$ (1)

The One-Sample Proportion Test is used to assess whether a population proportion $\hat p$ is significantly different from a hypothesized value $p_o$ .

Calculate the statistic

Since we have all the info requires we can replace in formula (1) like this:

$z=\frac{0.333 -0.25}{\sqrt{\frac{0.25(1-0.25)}{120}}}=2.10$

Statistical decision

It's important to refresh the p value method or p value approach . "This method is about determining "likely" or "unlikely" by determining the probability assuming the null hypothesis were true of observing a more extreme test statistic in the direction of the alternative hypothesis than the one observed". Or in other words is just a method to have an statistical decision to fail to reject or reject the null hypothesis.

The next step would be calculate the p value for this test.

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

$p_v =P(z>2.10)=0.018$

At 5% of significance we can conclude that the true proportion of strawberries damage is higher than 0.25

6 0

3 years ago

Helpppppppp pleaseeee

dem82 [27]

Answer:

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3 0

3 years ago

Read 2 more answers

(8,-7)m=-3/4 write an equation in point slope form of the line that passes through the given point and has the given slope

Paladinen [302]

Answer:

Equation of the straight line in point-slope form

y -(-7) = $\frac{-3}{4}$ (x-8)

Equation of the straight line

3x +4y +4=0

Step-by-step explanation:

<u><em>Explanation:-</em></u>

Given that the point ( 8,-7) and $m = \frac{-3}{4}$

Equation of the straight line passing through the point (x₁, y₁) and having slope 'm'

y - y₁ = m (x-x₁)

y -(-7) = $\frac{-3}{4}$ (x-8)

4( y+7) = -3(x-8)

4y +28 = -3x +24

3x +4y +28 -24 =0

3x +4y +4=0

6 0

3 years ago

Can u help me pls they are exponents with multiplication and division

Ronch [10]

When there is a multiplication involving exponents, we need to evaluate the numbers and each variables separately. In this case, we have 5 and 4 as the numbers, and w and h for the variables.

When we multiply 5 and 4 we get:
$5 \times 4 = 20$

For w, we have ${w}^{6}$ , ${w}^{4}$ , $w$ . While we are multiplying the w's, we need to add the exponents together to get the final answer: ${w}^{6} \times {w}^{4} \times w = {w}^{11}$

For h's, there are ${h}^{2}$ , ${h}^{5}$ , ${h}^{4}$ . When we apply the same thing to h's, we get ${h}^{2} \times {h}^{5} \times {h}^{4} = {h}^{11}$

For the final step, we need to write all of these together: $20 \times {w}^{11} \times {h}^{11} \: \: or \: \: 20 {w}^{11} {h}^{11} \: \: or \: \: 20 {(wh)}^{11}$

3 0

4 years ago

Really need this badly

Otrada [13]

Answer:

You need to find the surface area.

5 0

3 years ago

Which numbers are irrational? √16 √100 √53 √26​

Which numbers are irrational? √16 √100 √53 √26