.Assume the random variable X is normally distributed with mean u = 50 and standard deviation o = 7. Compute the probability. Be sure to draw a normal curve with the area
corresponding to the probability shaded
P(35 < X <63)= ______

Answer:

It will drop 16.875 degrees

Step-by-step explanation:

3.75 × 4 = 15

.5 × 3.75 1.875

Answer:

-16.875

Step-by-step explanation:

This equation is quite simple and will only require one equation to solve. This is the equation,

-3.75×4.5=-16.875

The final answer is -16.875

The hiker's average speed is 3.4 miles per hour, so the total distance is

found to be 19.5 miles

Distance is a scalar quantity, meaning that it can be represented as a single numerical value without direction.

To solve this problem, we need to calculate the total distance the hiker traveled in the given time frame.

We can calculate the total distance of the hike by multiplying the hiker's average speed with the total time he spent hiking.

The total time spent hiking is 5 hours and 45 minutes (2 hours and 15 minutes + 3 hours and 30 minutes).

Multiplying this with the hiker's average speed of 3.4 miles per hour, we get the total distance.

5 hours and 45 minutes= 5.75 hours

This problem can be solved using the following formula:

Distance (in miles) = Average Speed (in miles per hour) x Time (in hours)

Distance = 3.4 mph x 5.75 hours

Distance = 19.5 miles

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Answer:

13000 / 8 = 1625

1625 / 5 = 325

325 *3 *6 = 5850

Answer: 5850

Step By Step: First divide 13,000 by 8, giving you 1,625. Divide that by 5,

to get 325. So each machine makes 325 an hour. Multiply That by 3, giving you 975, multiply that by 6, giving you 5,850.

Answer:

it’s 15x+30y-220

Step-by-step explanation:

Because you distribute and then you add the like terms

Hello!

surface area

= 2(6*2) + 2(4*2) + 4*6

= 2*12 + 2*8 + 24

= 24 + 16 + 24

= 64 square inches

Answer:

angle N is 79, angle K is 22, angle P is 81, angle D is 76

Step-by-step explanation:

all of the angles should add up to 180 degrees so add the two angles you have and subtract them from 180

Answer:

KGH is similar

Step-by-step explanation:

using the triangle sum theorem

Answer: 720

Step-by-step explanation:

Given

A club has 10 members and needs one president, a vice president, and a secretary

There are 10 positions for president i.e. 10 ways to select a member for it

Similarly, there 9 persons left to choose a position for vice president

likewise 8 persons for secretary

Total no of ways to do it are

\(\Rightarrow 10\times 9\times 8\\\Rightarrow 720\ \text{ways}\)

Answer:

21

Step-by-step explanation:

Since the girls have the same age, let their age be x.
Then, their average is

\(\frac{x+x}{2} = \frac{2x}{2} = x\)

Let \(S_{i}\) denote the age of 'i' girls.
Then, \(S_{8} = S_{6} + x + x - eq(1)\)

Also, we have,

\(\frac{S_{8}}{8} =15 - eq(2)\)

\(\frac{S_{6}}{6} =13 - eq(3)\)

Then eq(2):

(from eq(1) and eq(3))

\(\frac{S_{6} + 2x}{8} =15\\\\\frac{13*6 + 2x}{8} = 15\\\\78+2x = 120\\\\2x = 120-78\\\\x = 21\)

The average of the other two girls with equal age​ is 21

Answer:

16 glasses

Step-by-step explanation:

4/5 divide by 1/20 = 16 glasses

Therefore, Ashley can make 16 glasses of lemonade.

Answer:

16 Glasses

Step-by-step explanation:

Since she has 4/5 cup of sugar and it requires 1/20 of a cup to make a single glass of lemonade, in order to get how many cups she can make we need to get the LCM (lowest common multiple) of both fractions (4/5 and 1/20). The LCM of 5 and 20 is 20. Now instead of 4/5 we have 16/20 and 1/20 remains the same. Since it takes 1/20 cup of sugar to make 1 glass of lemonade and Ashley has 16/20 cup of sugar, she can make 16 cups.

Answer:

b

Step-by-step explanation:

Answer:

x>-4

Step-by-step explanation:

$3,000 in an account that earns 4% compound interest after 6 years.

\(p = 3000\)

\(r = 4\)

\(t = 6years\)

\(interest = \frac{prt}{100} \)

\( = \frac{3000 \times 6 \times 4}{100} \)

\( = 720\)

therefore, $720 is the current amount of interest.

Answer:

1+6v

Step-by-step explanation:

add 5v and v

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

y = 2x ( domain : x ≥ 0 )

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

The equation of the line passing through the points (1, 2) and (5, 10) is 2x - y = 0.

To find the equation of a line given two points, we can use the point-slope form of a linear equation:

y - y1 = m(x - x1),

where (x1, y1) are the coordinates of one point on the line, m is the slope of the line, and (x, y) are the coordinates of any other point on the line.

In this case, two points on the line: (1, 2) and (5, 10).

First, let's calculate the slope (m) using the formula:

m = (y2 - y1) / (x2 - x1),

where (x1, y1) = (1, 2) and (x2, y2) = (5, 10).

m = (10 - 2) / (5 - 1) = 8 / 4 = 2.

Now that we have the slope, we can choose any of the given points to substitute into the point-slope form. Let's choose (1, 2):

y - 2 = 2(x - 1).

Expanding the equation, we get:

y - 2 = 2x - 2.

Rearranging the equation to the standard form, we have:

2x - y = 0.

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The journal entry to record the issuance of the note is:

Debit: Cash = $51,000 (proceeds received)

Debit: Discount on Note Payable = $787 (computed as $51,000 x 7% x 90/360)

Credit: Notes Payable = $51,787 (face value of the note)

The entry can be summarized as:

Debit: Cash $51,000

Debit: Discount on Note Payable $787

Credit: Notes Payable $51,787

The conclusion, the availability of resources such as water, food, and shelter affects the populations of organisms in an ecosystem.

In an ecosystem, the availability of resources such as water, food, and shelter have an impact on the populations of organisms living in that ecosystem. Populations are affected by the availability of resources, including abiotic and biotic factors that help support their survival.

The interaction between different populations of organisms in the ecosystem is essential, which includes plants and animals living together. In the ecosystem, the food chain is the primary interaction where organisms eat other organisms to survive.

Organisms such as herbivores feed on plants and serve as food for carnivores. The availability of food is a significant factor that determines the population of herbivores and carnivores in an ecosystem. The ecosystem also depends on the availability of water, which is vital for the survival of all organisms. Lack of water can lead to a decrease in population, especially for organisms that are unable to survive in dry environments.
Additionally, the availability of shelter is also significant in determining the population of an organism in an ecosystem. The shelter can include caves, trees, and other structures that serve as protection for organisms. The availability of shelter can influence the number of organisms that can survive in the ecosystem.

Understanding how resources availability impacts populations of the organisms in an ecosystem is crucial in preserving the ecosystem. Ecosystems with a balanced population of organisms are considered healthy, while those with unbalanced populations of organisms are considered unhealthy.

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Examining the figure properly shows that chord AB in the circle has its length to be equal to 16

Information given from the question is interpreted as

let the center of the circle be O

BE = opposite = ?

OE = adjacent = 6

OB = OA = hypotenuse = radius = 10

Using Pythagoras theorem given by the  the formula

hypotenuse² = opposite² + adjacent²

plugging the values as in the problem

10² = BE² + 6²

100 = BE² + 36

BE² =  100 - 36

BE = √64

BE = 8

Since line OE is the perpendicular bisector, BE = AE

and from the figure AB = BE + AE

= 8 + 8

= 16

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The probability that the cleanup crew of the Mt. Etna Pizza Parlour will complete their job in less than 20 minutes is 0.011.

In this scenario, the mean is 30 minutes and the standard deviation is 5 minutes. To calculate the probability, we can use the Z-score formula:

Z= (X-μ)/σ

where X is the value we are interested in (20 in this case), μ is the mean (30), and σ is the standard deviation (5).

Substituting these values, we get:

Z = (20-30)/5 = -2

Using the Z-table, we can find the area under the normal distribution curve that corresponds to a Z-score of -2. This area is 0.0228, which is approximately equal to 0.011 when rounded to three decimal places. Therefore, the probability that the cleanup crew will complete the job in less than 20 minutes is 0.011 or about 1.1%.

In conclusion, the probability of the cleanup crew completing their job in less than 20 minutes is quite low as it is an unusual event that falls outside of the standard deviation of the normal distribution. This information may be useful for scheduling the cleaning staff or allocating resources for the pizza parlour.

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    Quadratic applications include: Horizontal Motion Issues For a moving object, one uses the formula h = -16t2 + vt+s. The following is represented by the variables: h is a symbol for the object's height when it is moving.

   h = v 0 y 2 2 g This equation, which only depends on the vertical component of the initial velocity, specifies the maximum height of a projectile above its launch site.

   If v is the starting speed, g is the gravitational acceleration, and H is the highest point that may be reached in meters, then is the initial speed's angle from the horizontal plane (radians or degrees). The equation H = v 0 2 s I n 2 2 g yields the projectile's greatest height

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Drawing 31 tokens ensures that you have at least one odd token, by the Pigeonhole Principle.

To be certain you get at least one token that is odd, you need to draw enough tokens to ensure that you exhaust all possible even numbers. Since there are 30 even numbers between 0 and 60, it follows that you must draw 31 tokens to be certain you get at least one that is odd.

This is known as the Pigeonhole Principle, which states that if there are n pigeonholes and n+1 pigeons, then at least one pigeonhole must contain more than one pigeon. In this case, the even numbers represent the n pigeonholes and the odd numbers represent the n+1 pigeons.

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Answer:

Probability by definition is the extent to which an event is likely to occur, measured by the ratio of the favourable cases to the whole number of cases possible.

Since number of elements in the set of favourable cases is less than or equal to the number of elements in the set of whole number of cases, their ratio would always end up being 1 or less than one.

Probability equals one when favourable number of cases are same as that of the whole number of cases and probability equals zero when there is no favourable case

Answer:

4(9)+8=44

Step-by-step explanation:

Answer: 44

Step-by-step explanation:

F(x) = 4x +8    can be rewritten as y= 4x +8   where x is the input and y is hte output. If f(9)  is the output and x is the input , switch x for 9 and solve.

f(9) = 4(9) + 8

f(9) = 36 + 8

f(9) = 44

Let us sketch out the figure representing the word problem

So, to obtain the value of x, the image above will be restructured and we will apply the method of Pythagoras theorem to obtain x.

Therefore, the formula for the Pythagoras theorem is,

Hence,

Therefore, the base of the stakes that Tammy will attach to the wires should be 41.5'.

The probability that every even number appears at least once before the first occurrence of an odd is 1/20.

Given:

A fair 6-sided die is repeatedly rolled until an odd number appears.

There are 6! ways to order the 6 numbers and 3!(3!) ways to order the evens in the first three spots and the odds in the next three spots.

so the probability = 3!*3! / 6!

= 3!*3! / 6*5*4*3!

= 3*2*1 / 6*5*4

= 6*1 / 30*4

= 6/120

= 1/20

Therefore the probability that every even number appears at least once before the first occurrence of an odd is 1/20.

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To solve this problem, we can use algebraic equations. Let's say that the number of weeks it takes for Ted and Carly to have the same account balance is "w".

Ted's account balance after "w" weeks can be represented by:

300 + 4w

Carly's account balance after "w" weeks can be represented by:

16w

We want to find out when their account balances will be equal, so we can set these two equations equal to each other:

300 + 4w = 16w

Simplifying this equation, we get:

300 = 12w

Dividing both sides by 12, we get:

25 = w

Therefore, it will take 25 weeks for Ted and Carly to have the same account balance.

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.