A six-sided fair die with ={1,2,3,4,5,6} is rolled twice. What is the probability that the outcome of the first roll is even, or the outcome of the second roll is odd?
Sorry the "or" is throwing me off. Is this just (1/2)?

Answer: 32.2

Step-by-step explanation:

Angle DCE = 91°

Hope it helps

A. A one-sample z-test for a population mean

A one-sample z-test is used to compare the sample mean to a known population mean. In this case, the researchers have a known population mean (the mean battery life of the older version of the battery) and they are trying to determine if the mean battery life of the new battery is greater than that. Therefore, a one-sample z-test is the appropriate test.

The researchers selected random samples of 32 of the new batteries, subjected the batteries to continuous use, and determined the mean and standard deviation of the battery lives in the sample. The one-sample z-test is used to compare the sample mean to a known population mean. The researchers can use this test to determine if the mean battery life of the new battery is b significantly greater than the known mean battery life of their older version. The z-test will calculate the probability of the observed results occurring if the mean battery life of the new battery is actually equal to the known mean battery life of their older version. If the probability is low enough, the researchers can reject the null hypothesis (that the mean battery life of the new battery is equal to the known mean battery life of their older version) and conclude that the mean battery life of the new battery is greater than the known mean battery life of their older version.

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The process of writing the equation involves calculatng the slope and the y-intercept

Represent the coordinates of the points with (x₁, y₁) and (x₂, y₂)

To write the equation of a line given two points, we first need to determine the slope of the line using the formula

Slope =  (y₂ - y₁)/(x₂ - x₁),

Where (x₁, y₁) and (x₂, y₂) are the coordinates of the two given points.

Once we have the slope, we can use the point-slope form of a line,

y - y₁ = m(x - x₁),

Where m is the slope and (x₁, y₁) is one of the given points.

We can then simplify this equation into slope-intercept form, y = mx + b, where b is the y-intercept of the line.

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Answer:

0 < 8p < 8

is this what you're looking for?

Answer:

option A is correct

Step-by-step explanation:

Base=20m

Height=12h

We know that,

╭☞Area=1/2×20×12

╭☞1/2×240

╭☞240/2

╭☞120m^2

Answer:

No

Step-by-step explanation:

\( \frac{10}{13} not \: equal \: \frac{59}{65} \\ 10 \times 65 \: not \: equal \: 59 \times 13 \\ 650 \: not \: equal \: 767\)

The total surface area of the trapezoidal prism is S = 3,296 inches²

Given data ,

Let the total surface area of the trapezoidal prism is S

Now , the measures of the sides of the prism are

Side a = 10 inches

Side b = 32 inches

Side c = 10 inches

Side d = 20 inches

Length l = 40 inches

Height h = 8 inches

Lateral area of prism L = l ( a + b + c + d )

L = 40 ( 10 + 32 + 10 + 20 )

L = 2,880 inches²

Surface area S = h ( b + d ) + L

On simplifying the equation , we get

S = 2,880 inches² + 8 ( 52 )

S = 3,296 inches²

Hence , the surface area of prism is S = 3,296 inches²

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The common difference of the arithmetic sequence is 6.

In an arithmetic sequence, the first term, a₁, is equal to 8, and the fifth term, a₅, is equal to 32.

Therefore, the common difference of the arithmetic sequence can be calculated as follows:

Hence,

aₙ = a + (n - 1)d

where

Hence,

a = 8

32 = a + 4d

Therefore, let's find common difference

a + 4d = 32

8 + 4d = 32

4d = 32 - 8

4d = 24

d = 24 / 4

d = 6

Therefore,

common difference = 6

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Answer:

Yes

Step-by-step explanation:

Answer:

i think you are right

Step-by-step explanation:

Answer:

I think its $6894.21

Step-by-step explanation:

compound interest formula: A= P(1+ r/n)^nt

A= 5000(1+ 0.055/1)^1(6)

A= 6894.21403

A= $6894.21

Answer:

- 4+23e

Step-by-step explanation:

Step-by-step explanation:

the multiplication of multiple factors is zero, if at least one factor is zero.

and to get a polynomial of degree 4 (that means there is a term of x⁴) we need 4 factors each a term in x. so, x×x×x×x = x⁴.

it is nice to get all 4 zeros defined. these zeroes mean that f(x) = 0 for x = -7, x = 0, x = 2 and x = 3.

how do we make sure that is the case ?

by defining corresponding factors for f(x).

f(x) = (x + 7)x(x - 2)(x - 3)

that function is 0 for x = -7, x = 0, x = 2, x = 3.

done.

Solution

Dollars per gallon

Gallons per dollar.

Answer:

149cm^2

Step-by-step explanation:

big brain

Answer:

114cm²

Step-by-step explanation:

Okay, so you can split this thingy up into a rectangle and another rectangle, so that's what we're going to do (see pic below)

So now we take off that 7 from the 13:

13 - 7 = 6

So now we find the area of that little area:

6 x 5 = 30

Now we do the other rectangle:

12 x 7 = 84

Now we add them together:

84 + 30 = 114

So the area of the shape is 114cm²

hope this helps:)

Answer

False

True

False

Point W has the polar coordinates negative five comma two pi over 3.

We have to given that;

To find the coordinate for the point (- 5, 2π/3).

Now, We can formulate;

Coordinates of W = (- 5, 2π/3).

Thus, The correct point which shows the polar coordinates negative five comma two pi over 3 is,

⇒ Point W

Therefore, Point W has the polar coordinates negative five comma two pi over 3.

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Answer:

Look at image

Step-by-step explanation:

Answer: B I did it already

Step-by-step explanation:

The equation for the line of best fit will be -

y = - 1.74x + 46.6

The general equation of a straight line is -

[y] = [m]x + [c]

where -

[m] → is slope of line which tells the unit rate of change of [y] with respect to [x].

[c] → is the y - intercept i.e. the point where the graph cuts the [y] axis.

We have the following table tracking Maleia running training program.

Month  Time (minutes)

1                46

2               42

3               40

4               41

5               38

6               36

We can see that the points (1, 46) and (2, 42) will lie on the graph of the line of best fit. Since, the value of [y] is decreasing, so we can easily say that the slope will be negative. So, we can write the equation for the line of best fit as -

y = - 1.74x + c

The nearest point to [y] value is 46.6. So, we can write -

c = 46.6

Therefore, the equation for the line of best fit will be -

y = - 1.74x + 46.6

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The sum of the first four terms of the sequence is 22.

In this question,

The formula of sum of linear sequence is

\(S_n =\frac{n}{2}(2a+(n-1)d)\)

The sum of the first ten terms of a linear sequence is 145

⇒ \(S_{10} =\frac{10}{2}(2a+(10-1)d)\)

⇒ 145 = 5 (2a+9d)

⇒ \(\frac{145}{5} =2a+9d\)

⇒ 29 = 2a + 9d  ------- (1)

The sum of the next ten term is 445, so the sum of first twenty terms is

⇒ 145 + 445

⇒ \(S_{20} =\frac{20}{2}(2a+(20-1)d)\)

⇒ 590 = 10 (2a + 19d)

⇒ \(\frac{590}{10}=2a+19d\)

⇒ 59 = 2a + 19d -------- (2)

Now subtract (2) from (1),

⇒ 30 = 10d

⇒ d = \(\frac{30}{10}\)

⇒ d = 3

Substitute d in (1), we get

⇒ 29 = 2a + 9(3)

⇒ 29 = 2a + 27

⇒ 29 - 27 = 2a

⇒ 2 = 2a

⇒ a = \(\frac{2}{2}\)

⇒ a = 1

Thus, sum of first four terms is

⇒ \(S_4 =\frac{4}{2}(2(1)+(4-1)(3))\)

⇒ \(S_4 =2(2+(3)(3))\)

⇒ S₄ = 2(2+9)

⇒ S₄ = 2(11)

⇒ S₄ = 22.

Hence we can conclude that the sum of the first four terms of the sequence is 22.

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Option d) {(–3, 2), (–2, 3), (–1, 2), (0, 4), (1, 1)} is the correct answer.

A function is a mathematical relation that maps each element in a set to a unique element in another set.

To determine which relation is a function between the given options, we need to check whether each input has a unique output.

In option a), the input -1 has two outputs, 3 and 2, which violates the definition of a function.

In, Option b) has two outputs for the input 0, violating the same definition.

In, Option c) has two outputs for the input 0, but it also has two outputs for the input -2, which violates the definition of a function as well.

In, Option d) is the only relation that satisfies the definition of a function, as each input has a unique output. Therefore, Option d) is the correct answer.

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let's firstly convert the mixed fraction to an improper fraction.

\(\stackrel{mixed}{4\frac{1}{5}}\implies \cfrac{4\cdot 5+1}{5}\implies \stackrel{improper}{\cfrac{21}{5}} \\\\[-0.35em] ~\dotfill\\\\ \cfrac{2}{3}-\cfrac{21}{5}\implies \cfrac{(5)2~~ - ~~(3)21}{\underset{\textit{using this LCD}}{15}}\implies \cfrac{10-63}{15}\implies \cfrac{-53}{15}\implies -3\frac{8}{15}\)

Answer:

The scale factor is 1/3

Step-by-step explanation:

Compare side length XW with RQ, the side length decreases from 15 to 5, which is a shrinking by a factor of 1/3, since 5 is 1/3 of 15. You can check this by comparing the sides WV with RS, and since 8 is 1/3 of 24, the scale factor is 1/3 going from UVWX to STQR.

If I helped, a brainliest would be greatly appreciated!

Answer:

x = -59/4

Step-by-step explanation:

3 x+ 2 = -x-57

Add x to each side

3 x+x+ 2 = -x+x-57

4x+2 = -57

Subtract 2 from each side

4x +2-2 = -57-2

4x = -59

Divide each side by 4

4x/4 = -59/4

x = -59/4

Answer:

162/20 Would be your answer, however, it wouldn't make sense as you can not switch students into decimals. Therefore, you could make 7 classes of 20, and one of 22, and 6 classes of 20, and two of 21. Therefore, there are two combinations that are possible.

Step-by-step explanation:

Refer to the answer.

Answer:

56

Step-by-step explanation:

Answer:

150 degrees

Step-by-step explanation:

You can figure this out by looking at the degrees below d, and you see it is thirty, and that it is equal to the degree above the x, so then you subtract 30 from 180 to get 150. Hopefully that makes sence, I forgot what some of the terms are called.

Answer:

  ★ = 3

  ✚ = 4

  ■ = 4

  ◆ = 5

Step-by-step explanation:

If we use direct correspondence in the second equation, then we have ...

  ◆ = 5

  ★ = 3

The values of ★ and ✚ in the first equation must total 7. This means ...

  ✚ = 7 -3 = 4

Again, using direct correspondence in the third equation, we have ...

  ■ = 4