Multiply 6 1/2•1 8/13 simplify the answer and write as mixed number

It is false as the left and right ends of the normal probability distribution extend indefinitely, approaching but never touching the horizontal axis.

The statement is false because the left and right ends of the normal probability distribution do not extend indefinitely. In reality, the normal distribution is defined over the entire real number line, meaning it extends infinitely in both the positive and negative directions. However, as the values move further away from the mean (the center of the distribution), the probability density decreases. This means that although the distribution approaches but never touches the horizontal axis at its tails, the probability of observing values extremely far away from the mean becomes extremely low. Thus, while the distribution theoretically extends infinitely, the practical probability of observing values far from the mean decreases rapidly.

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Mark has 35 unique combinations to choose from, so can he co go 5 weeks with this set of clothes

Number of pants in Mark's closet = 5

Number of shirts in Mark's closet = 7

Combinations are ways to choose elements from a collection in mathematics where the order of the selection is irrelevant. Let's say we have a trio of numbers: P, Q, and R. Then, combination determines how many ways we can choose two numbers from each group.

He can choose amongst the pants in 5 ways, similarly, he can choose among the shirts in 7 ways

Total number of combinations = 5*7 = 35 unique combinations

So, if he wears one combination each day he can last 35 days or 5 weeks, without buying new clothes

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The probability of the top card being red and the second card being black is P(A and B) =  0.0650.

The probability that the top card is red and the second card is black can be calculated using the formula P(A and B) = P(A) x P(B)

Let A be the event of the top card being red and B be the event of the second card being black.

The probability of the top card being red is P(A) = (26/52), since there are 26 red cards in the deck.

The probability of the second card being black is P(B) = (26/51), since there are 26 black cards left in the deck after taking away the red card from the top.

Therefore, the probability of the top card being red and the second card being black is P(A and B) = (26/52) x (26/51) = (169/2612) = 0.0650.

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Answer:

70 x 4

Step-by-step explanation:

To round to one significant figure we have to round each numbers to the first numbers greater than 0

To round 74.5 to 1sf we have to round it to the nearest 10. As the number next to it (4) is less than 5 we will round down to 70

To round 3.6 to 1sf we have to round to the nearest whole number. As the number next to it (6) is greater than 5 we will round up to 4

Hope this helps, have a great day!

The formula for the volume of the rectangular box with a square base can be expressed as V = x^2 * 3x, where x represents the side length of the base. The formula for the volume of the box in terms of x is V = x^2 * 3x.

To find the volume of a rectangular box with a square base, we need to consider the dimensions of the box. In this case, the side length of the square base is represented by x. According to the given information, the height of the box is three times the length of the base, which can be expressed as 3x.

The volume of a rectangular box is calculated by multiplying the length, width, and height. Since the base is square, both the length and width are equal to x. Therefore, the formula for the volume, V, is obtained by multiplying x^2 (the area of the base) with the height, 3x. Thus, the formula for the volume of the box in terms of x is V = x^2 * 3x.

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Answer:

the answer is

25% = 2.5 pounds

25 x 4 = 100%

2.5 x 4 = 10 pounds

Step-by-step explanation:

The chopper is 686 meters away from the listener.

When we hear any sound, it means sound waves are coming towards us, and our ears receive those waves. It travels through the air and then reaches to our ears. As sound waves travel through the air, they encounter obstacles that cause their energy to disperse. The speed of sound waves through the air depends on the temperature and the pressure of the air. In general, at room temperature, the speed of sound through the air is approximately 343 meters per second.

The given information can be used to find the distance between the chopper and the listener. To calculate the distance, we can use the following formula:

d = v × t

where, d is the distance, v is the speed of sound (343 m/s at room temperature), and t is the time taken to hear the sound.

We can calculate the distance using the given information: We are given that the sound was heard 2 seconds after the last chop.

Therefore, the time taken to hear the sound is t = 2 seconds.

Using the formula, we have: d = v × td = 343 × 2 = 686 meters.

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Answer:

y=14x

Step-by-step explanation:

Answer:

No

Step-by-step explanation:

It appears the only way to talk to you is by answering your questions...so whatever.

Fan activity though? Really? Worst excuse ever. Ew.

Answer:

See below.

Step-by-step explanation:

A. II

B. On the line.

C. III

D. Origin

E. I

F. II

G. II

H. I

I. IV

J. III

Answer:

22 units^2

Step-by-step explanation:

Answer:

45 units²

Step-by-step explanation:

The formula I learned for finding the area of a triangle is:

½ x b(base) x h(height)

The base for this triangle is 5. The height is 18. You multiply these two numbers and get 90. Then, you multiply 90 by ½. 90 x 1 is 90. 90 divided by two is 45. Your final answer is 45.

Hope it helps!

Answer:

60°

Step-by-step explanation:

The whole circunference is 360° from a central angle

so from an inscribed angle is 180°

notice that arc ABC + arc ADC make the whole circunference

so the inscribed angles that support those arc together must add to 180°

120°+b=180

b=60

from here we deduce that a cyclic quadrilateral (a quadrilateral that his points are on a circunference) oposite angles add up to 180

The amount of money in Iris's checking account can be modeled by a linear function of the form:

y = mt + b

where y is the amount of money in the account, t is the time (measured in years), m is the rate of interest, and b is the initial amount in the account.

In this case, we have m = 0.04 (since the interest rate is 4% per year) and b = 180 (since that's the initial amount in the account). Therefore, the linear function that models the amount of money in Iris's checking account at any time t is:

y = 0.04t + 180

For example, if t = 5 (years), then the amount of money in Iris's checking account is 0.04 * 5 + 180 = 198 dollars.

The book is opened to pages 11 and 12.

How to get the product of the page

x * (x + 1) = 132

Expanding the equation, we get:

x² + x = 132

To solve for x, we need to rewrite the equation as a quadratic equation:

x²+ x - 132 = 0

Now, we can factor the quadratic equation:

(x - 11)(x + 12) = 0

This equation has two solutions for x:

x = 11

x = -12

Since page numbers cannot be negative, we discard the second solution. Thus, the left-hand page number is 11, and the right-hand page number is 11 + 1 = 12.

So, the book is opened to pages 11 and 12.

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Answer:

You could use 3.14 or 22/7

Step-by-step explanation:

It should be what you're asking, if not, tell me and I'll give you another answer.

:)

Answer:

use 22/7 or 355/133, but 355/133 is not very commonly used and is unwieldy.

Step-by-step explanation:

Answer:

{-2, 0, 1, 2, 8}

Step-by-step explanation:

The range is {-2, 3, 4, 5}

The domain of a function is defined as the set of all the possible input values that are valid for the given function.

The range of a function is defined as the set of all the possible output values that are valid for the given function.

We are given the set as;

{-2, 3, 4, 5}

Since the Range is the set of y-values that are outputted by function f(x)

The Builder Set Notation {x}

According to the given graph, our y-values are 3, 4, 5 and -2. Since they are all closed dots, they are inclusive in the range:

Note to put it in number line order.

{-2, 3, 4, 5}

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Answer:

1 solution

Step-by-step explanation:

Hello!

We can solve for x and then determine the number of solutions it can have. If at the end of the solution:

Since x is equal to a number, it has 1 possible solution.

Answer:

Step-by-step explanation:

Given  sin²∅ + sin∅ = 1, we are to find the value of  sin²∅ + sin⁴∅. ... 2

From  sin²∅ + sin∅. = 1;  sin²∅ = 1 - sin∅. ... 3

Substitute equation 3 into 1

sin²∅ + sin⁴∅

=  sin²∅ + (sin²∅)²

=  (1 - sin∅)+( 1 - sin∅)²

open the parenthesis

= 1 - sin∅+ (1-2sin∅+ sin²∅)

= 1 - sin∅+ 1-2sin∅+ sin²∅

= 1+1-sin∅-2sin∅+sin²∅

= 2 - 3sin∅+sin²∅

Since sin²∅ = 1 - sin∅, the resulting equation becomes;

= 2 - 3sin∅+(1 - sin∅)

= 2 - 3sin∅+1-sin∅

= 3-4sin∅

Answer:

6/10

Step-by-step explanation:

The value of Sin(A) is 6/10

Answer:

Use both methods to calculate the sale price of an item that costs $140 and has a discount of. 40%. 140 x.40 = 56. 140-56 +84. 140x.60 = $84.

Step-by-step explanation:

C

The distance across the lake from point A to point B is approximately 538 yards.

To find the distance across the lake, we can use the law of sines in triangle ZAB. The law of sines states that the ratio of the length of a side of a triangle to the sine of its opposite angle is constant. In this case, we have the angle ZAB (43.6 degrees) and the lengths ZC (325 yards) and AC (unknown).

Using the law of sines, we can set up the following equation:

sin(ZAB) / ZC = sin(ZCA) / AC

Substituting the known values, we have:

sin(43.6°) / 325 = sin(ZCA) / AC

Solving for sin(ZCA), we get:

sin(ZCA) = (sin(43.6°) / 325) * AC

To find the length of AC, we need to rearrange the equation:

AC = (325 * sin(ZCA)) / sin(43.6°)

Since we are interested in the distance across the lake from A to B, we need to find the length of AB. We know that AB = AC + BC, where BC is the distance from C to B.

To find BC, we can use the law of sines again in triangle ZCB:

sin(ZCB) / ZC = sin(ZCA) / BC

Substituting the known values, we have:

sin(ZCB) / 325 = sin(ZCA) / BC

Solving for BC, we get:

BC = (325 * sin(ZCB)) / sin(ZCA)

Finally, we can calculate AB by adding AC and BC:

AB = AC + BC

Plugging in the values we know, we have:

AB = ((325 * sin(ZCA)) / sin(43.6°)) + ((325 * sin(ZCB)) / sin(ZCA))

Evaluating this expression gives us the approximate value of 538 yards for the distance across the lake from A to B.

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Answer:

$25

Step-by-step explanation:

Answer:

−30x2−6x3−x4−k−10x/x

Step-by-step explanation:

Steps to solve:

6x - 9 + 4x

~Combine like terms

(6x + 4x) - 9

~Simplify

10x - 9

Best of Luck!

Answer:

70

Step-by-step explanation:

The sampling technique used to obtain the described sample is A. Systematic sampling.

In systematic sampling, the elements of the population are ordered in some way, and then a starting point is randomly selected. From that point, every nth element is selected to be part of the sample.

In the given scenario, the first 35 students leaving the library were selected. This suggests that the students were ordered in some manner, and a systematic approach was used to select every nth student. Therefore, the sampling technique used is systematic sampling.

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The value of g(5) can be determined by integrating the given derivative function and using the initial condition g(2) = -7.  The value of g(5) is approximately 57.955.

To find the value of g(5), we need to integrate the derivative function g'(x). The antiderivative of √\(x^3\) + x with respect to x will give us the original function g(x). Let's perform the integration:

∫√\(x^3 + x dx\) = ∫\((x^(3/2) + x) dx = (2/5)x^(5/2) + (1/2)x^2 + C\)

Now, using the initial condition g(2) = -7, we can determine the constant of integration C:

\((2/5)(2)^(5/2) + (1/2)(2)^2 + C = -7\)

Simplifying the equation, we can solve for C:

(8/5) + 2 + C = -7

C = -7 - (8/5) - 2

C = -7 - (16/5) - (10/5)

C = -7 - (26/5)

C = -35/5 - 26/5

C = -61/5

Now that we have the value of C, we can substitute it back into the original function and evaluate g(5):

g(5) = \((2/5)(5)^(5/2) + (1/2)(5)^2 - (61/5)\)

Calculating this expression will give us the value of g(5).

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The equation for the axis of symmetry for the given parabolic graph is found as: x = 3.

A parabola is the graph of a quadratic function and features a vertical line passing through its vertex as its axis of symmetry.

The graph is also symmetric, with the axis of symmetry being a vertical line that passes through the vertex.

Thus, the equation for the axis of symmetry for the given parabolic graph is found as: x = 3.

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Answer:

It is the equation for the table y=ab^x (b>1,and b≠1）

Step-by-step explanation:

Answer: 1/7

Step-by-step explanation:

There are total of 7 gloves

There is 1 black glove

So take 1 divided by 7

The Fraction is 1/7