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2 years ago

Two fair six-sided dice are rolled.

Mathematics

1 answer:

sladkih [1.3K]2 years ago

5 0

1/36+1/36=2/36. why? because their are 6 sides. you must multiply. and for each dice ylu have a possibilty of 1/36.

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The average gasoline price of one of the major oil companies in Europe has been $1.25 per liter. Recently, the company has under

Ann [662]

Answer:

$t=\frac{1.20-1.25}{\frac{0.14}{\sqrt{49}}}=-2.50$

Step-by-step explanation:

Data given and notation

$\bar X=1.20$ represent the sample mean given

$\sigma = 0.14$ represent the population standard deviation

$n=49$ sample size

$\mu_o =1.25$ represent the value that we want to test

t would represent the statistic (variable of interest)

State the null and alternative hypotheses.

We need to conduct a hypothesis in order to check if the true mean for the gasoline prices is lower than 1.25, the system of hypothesis would be:

Null hypothesis: $\mu \geq 1.25$

Alternative hypothesis: $\mu < 1.25$

If we analyze the size for the sample is > 30 but 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:

$t=\frac{\bar X-\mu_o}{\frac{s}{\sqrt{n}}}$ (1)

Calculate the statistic

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

$t=\frac{1.20-1.25}{\frac{0.14}{\sqrt{49}}}=-2.50$

5 0

3 years ago

27 On the set of aves below, graph the line whose equation is 2y = -3x-2

andrey2020 [161]

On the set of axes below, graph the line whose equation is To graph your line, click to add your first point and then click again to add a second point. You can either undo or reset to redraw your line. LNE This linear equation contains the point State the value of .

4 0

1 year ago

999999999998÷30×536+9999999

Anettt [7]

Answer:

17866676666629.933594

Step-by-step explanation:

because oBaMa

4 0

2 years ago

Five times the sum of the digits of a two-digit number is 13 less than the original number. If you reverse the digits in the two

mafiozo [28]

Answer:

The difference of the original two-digit number and the number with reversed digits is 18.

Step-by-step explanation:

Since it's a two digit number, let x represent the tens digit and let y represent the units digit.

Thus, the original two digit number is;

10x + y.

The reverse two digit number is;

10y + x.

We are told that five times the sum of the digits of the two-digit number is 13 less than the original number.

Thus;

5(x + y) = (10x + y) - 13

Multiplying out the bracket gives;

5x + 5y = 10x + y - 13

Rearranging gives;

10x - 5x + y - 5y = 13

5x - 4y = 13 - - - - (3)

Also,we are told that, four times the sum of its two digits is 21 less than the reversed two-digit number. Thus;

4(x + y) = (10y + x) - 21 - - - (4)

Simplifying gives;

4x + 4y = 10y + x - 21

>> 10y - 4y - 4x + x = 21

>> 6y - 3x = 21 - - - (4)

Solving eq(3) and (4) simultaneously gives;

x = 5 and y = 3

Thus,

Original number = 53

Reversed number = 35

Difference between original and reversed number = 53 - 35 = 18

6 0

2 years ago

Be sure to show your work and solve for f: 12 = f - 13-2

ki77a [65]

Answer:

Step-by-step explanation:

$12 = f - 13-2$

Collect like terms and simplify

$12+13+2 = f\\27 =f$

Switch sides

$f = 27$

5 0

2 years ago

Read 2 more answers