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3 years ago

An expression is shown below.

Mathematics

2 answers:

SOVA2 [1]3 years ago

7 0

The answer is 10x -34

Natali [406]3 years ago

6 0

Answer:

Step-by-step explanation:

Okay, so if i remember, you do the hyphens first. then move the equations down, then i think you move some numbers on one side to the other, like this, -4+10=6+9 -4+10-6=24 this is not actually correct, it's just an example.

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Which figures demonstrate a translation?

tensa zangetsu [6.8K]

The two bottom graphs demonstrate translations.

<h3>Which figures demonstrate a translation?</h3>

We will have a translation only if:

The size of the figure does not change (like in option 1, which we can discard).
If the "direction" of the figure does not change, like in option 2, where you can see that there is a reflection.

The images where the figures are only moved a little bit are the ones that demonstrate just a translation, and these are the two lower ones.

If you want to learn more about translations:

brainly.com/question/24850937

#SPJ1

8 0

2 years ago

Events A and B are independent. find the missing probability<br> P(A)= 1/4 , P(B)= 3/5, P(B I A) =?

Svetach [21]

Answer:

hello : P(A and B) = 3/20

Step-by-step explanation:

events A and B are independent:

P(A and B) = P(A)×P(B)

P(A and B) = (1/4)×(3/5)

P(A and B) =3/20

continu ....

P(B/A)= P(A and B) / P(A)

3 0

4 years ago

23. A certain type of gasoline is supposed to have a mean octane rating of at least 90. Suppose measurements are taken on of 5 r

Nostrana [21]

Answer:

a) $p_v =P(Z$

b) Since $p_v$ we can reject the null hypothesis at the significance level given. So based on this we can commit type of Error I.

Because Type I error " is the rejection of a true null hypothesis".

c) $P(\bar X >90)=1-P(Z$

$1-P(Z$

d) For this case we need a z score that accumulates 0.02 of the area on the right tail and 0.98 on the left tail and this value is z=2.054

And we can use this formula:

$2.054=\frac{90-89}{\frac{0.8}{\sqrt{n}}}$

And if we solve for n we got:

$n = (\frac{2.054 *0.8}{1})^2=2.7 \approx 3$

Step-by-step explanation:

Previous concepts and data given

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".

We can calculate the sample mean and deviation with the following formulas:

$\bar X = \frac{\sum_{i=1}^n X_i}{n}$

$s=\sqrt{\sum_{i=1}^n (X_i -\bar X)^2}{n-1}$

$\bar X=88.96$ represent the sample mean

$s=1.011$ represent the sample standard deviation

n=5 represent the sample selected

$\alpha$ significance level

State the null and alternative hypotheses.

We need to conduct a hypothesis in order to check if the mean is less than 90, the system of hypothesis would be:

Null hypothesis: $\mu \geq 90$

Alternative hypothesis: $\mu < 90$

If we analyze the size for the sample is < 30 and we don't know the population deviation so is better apply a t 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:

$z=\frac{88.96-90}{\frac{0.8}{\sqrt{5}}}=-2.907$