A standard die is rolled three times. What is the probability of rolling a number less than 5 on all three rolls?

Answer:

75 Kilometers

Step-by-step explanation:

We have been given that the distance between two towns is 120 km.

We are also told that there are approximately 8 km in 5 miles. Let us find number of miles per km by dividing 5 by 8.

\text{Number of miles in 1 km}=\frac{5\text{ miles}}{\text{8 Km}}

\text{Number of miles in 1 km}=0.625\frac{\text{ miles}}{\text{ Km}}

Therefore, there are 0.625 miles in 1 km.

To convert our given distance into miles we will multiply our given distance by number of miles in 1 km.

\text{Number of miles in 120 km}=120\text{ km}\times \frac{0.625\text{ miles}}{\text{ km}}

\text{Number of miles in 120 km}=120\times 0.625\text{ miles}

\text{Number of miles in 120 km}=75\text{ miles}

Therefore, the distance between two towns is 75 miles.

Answer:

The answer is 75, I had this question a few days ago and I got it right

Answer:75

The output value of f( -3 ) in the function f(x) = x³ + 3x + 17 is -19.

Given the function in the question:

f(x) = x³ + 3x + 17

To evaluate f(-3) for the function f(x) = x³ + 3x + 17, we simply substitute -3 for x in the expression and calculate the result.

f(x) = x³ + 3x + 17

Plug in x = -3

f(-3) = (-3)³ + 3(-3) + 17

First, let's calculate (-3)³, which means raising -3 to the power of 3:

(-3)³ = -3 × -3 × -3 = -27

Next, let's calculate 3(-3):

3(-3) = -9

Now, we can substitute these values into the expression:

f(-3) = -27 + (-9) + 17

Simplifying further:

f(-3) = -27 - 9 + 17

f(-3) = -36 + 17

f(-3) = -19

Therefore, the output value of f(-3) is -19.

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Answer: Let's call the scale factor between the two containers "k". Then, we know that the ratio of their surface areas is equal to the square of the scale factor:

(surface area of B) / (surface area of A) = k^2

We also know that the ratio of their volumes is equal to the cube of the scale factor:

(volume of B) / (volume of A) = k^3

We can rearrange the first equation to solve for k:

k^2 = (surface area of B) / (surface area of A) = 10478 mm^2 / 1550 mm^2 = 6.75

Taking the square root of both sides, we get:

k = sqrt(6.75) = 2.6 (rounded to one decimal place)

Now we can use the second equation to find the volume of container A:

(volume of B) - (volume of A) = 62160 mm^3

(k^3)(volume of A) - (volume of A) = 62160 mm^3

Simplifying and solving for the volume of A, we get:

volume of A = 62160 mm^3 / (k^3 - 1) = 62160 mm^3 / (2.6^3 - 1) ≈ 4477 mm^3

Therefore, the volume of container A is approximately 4477 mm^3.

Step-by-step explanation:

Answer:

nope

Step-by-step explanation:

Apply dot product which must = 0 for orthogonality.

In this case,

-(3)(2) + (-2)(-2) + (-3)(1) + (1)(4) = -1.

Answer:

400

Step-by-step explanation:

To find the scale factor, you need to find out how much the initial value was multiplied by to get the new value. To do that, you need to divide the new value by the initial value. Make sure the units are the same; don't divide 1000 feet by 30 inches!

\(\frac{new}{initial} = \frac{12000}{30}=400\)

Hope this helps!

1) the supply and demand schedule for Blue-ray movie "Frozen is attached accordingly.

Equilibrium price and quantity are $20 and 40 units respectively.

2) At a price of $30, quantity demand  and supplied are 20 and 60 units respectively

This is an example of supply surplus.

To get the price back to equilibrium, they have to setthe price at $20 /unit

3) at $10 the quantity demand and supplied are 60 units and 20 units respectively.

This is an example of supply shortage.

increasing the price to $20 per unit will help achieve equilibrium.

Equilibrium is important to create both balanced and efficient markets. If the market is in price-quantity equilibrium, then there is no reason for it to deviate from this point because it balances the quantity supplied and quantity demanded.

Equilibrium is important to create both balanced and efficient markets. If the market is in price-quantity equilibrium, then there is no reason for it to deviate from this point because it balances the quantity supplied and quantity demanded.

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Answer:

y=−210+5x

Step-by-step explanation: easy

Answer:

Yes, it's a parallelogram

Step-by-step explanation:

Slope Formula: y2-y1/x2-x1

KL: 12-7/6-2 = 5/4

LM; 13-12/13-6 = 1/7

MN: 8-13/9-13 = 5/4

KN: 7-8/9-2 = 1/7

Since angles and sides opposite one another on a parallelogram are congruent, we can say this is a parallelogram because there are congruent.

According to census the total number of male and female was 88,51,84,692, if number of male was 45,40,34,570 the number of female population is 43,11,50,122.

To find the wide variety of girl population, we will subtract the quantity of male population from the full population.

Total population = 88,51,84,692

Number of male = 45,40,34,570

Number of female = Total population - Number of male

= 88,51,84,692 - 45,40,34,570

= 43,11,50,122

Therefore, the number of female population is 43,11,50,122.

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Answer:

c) 480 milliliters.

Step-by-step explanation:

16 fl oz  = 473.176 ml

FYI these can all be found by doing a simple search such as

"convert fl oz to ml"

or

"convert miles to meters"

It gives you either a formula or a nice little box where you can enter your first amount and get the equivalent in the converted amount.

The answer to the given question of chi-square fit test is option A.  There is sufficient evidence to conclude that the distribution of attempts has changed.

Based on the given information, the chi-square goodness-of-fit test was used to compare the observed distribution of shot types in the current season to the expected distribution based on the previous year's distribution. The calculated chi-square test statistic is X² = 10.79 with 2 degrees of freedom, and the p-value is 0.005. At the significance level of a=0.01, we reject the null hypothesis if the p-value is less than 0.01. Since the p-value of 0.005 is less than 0.01, we can reject the null hypothesis, which states that the distribution of shot types in the current season is the same as the previous year's distribution. Therefore, the correct answer is A. There is sufficient evidence to conclude that the distribution of attempts has changed. The coach can conclude that there is a significant difference between the observed and expected shot type distribution in the current season compared to the previous year's distribution.

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The angle m∠JIX is 90 degrees.

IX is perpendicular to IJ. Therefore, angle m∠JIX is 90 degrees.

IG bisect CIJ. Hence,

m∠CIG ≅ m∠GIJ

Therefore,

m∠CIX = 150 degrees

Hence, let's find m∠JIX.

Therefore, m∠JIX is 90 degrees because IX is perpendicular to IJ. Perpendicular lines forms a right angle.

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The measure of angle m∠JIX is  estimated to be 90⁰.

You should understand that an angle is a figure formed by two straight lines or rays that meet at a common endpoint, called the vertex.

IX is perpendicular to IJ. Therefore, angle m∠JIX is 90⁰.

Frim the given parameters,

IG⊥CIJ.

But;  m∠CIG ≅ m∠GIJ

⇒ m∠CIX = 150⁰

Hence, let's find m∠JIX.

Therefore, m∠JIX is 90⁰ because IX is perpendicular to IJ. Perpendicular lines forms a right angle.

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Answer: X + 3

Step-by-step explanation:

Sum hints as to an addition statement and it specifies a variable X and the number 3 so the expression would be X + 3.

SUM MEANS ADDITION

HERE IT MEANS THE ADDITION OF x and 3

written as

\(x + 3\)

HOPE THIS HELPS

The fraction of the money the youngest boy does get is 5x/22.

Given that, three brothers share some money. The oldest 5/11 of the money.

Let the total money be x.

Share of oldest boy = 5/11 ×x

= 5x/11

Remainder = x-5x/11

Remainder = 6x/11

The next boy gets 7/12 of the remainder.

Share of next boy = 7/12 × 6x/11

= 7x/22

Share of youngest boy = 6x/11 - 7x/22

= (12x-7x)/22

= 5x/22

Therefore, the fraction of the money the youngest boy does get is 5x/22.

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Answer:

6n+2

Step-by-step explanation:

The area of the rectangle is 81 square units. (option a)

To find the area of a rectangle, we need to know its length and width. We can determine these values by looking at the difference between the x-coordinates and the y-coordinates of the vertices.

In this case, we have the following coordinates: (-4,5), (5,5), (-4,-4), and (5,-4).

The length of the rectangle is the difference between the x-coordinates of the left and right vertices:

=> 5 - (-4) = 9.

The width is the difference between the y-coordinates of the top and bottom vertices:

=> 5 - (-4) = 9.

To find the area of the rectangle, we multiply its length by its width:

=> 9 x 9 = 81.

So, the correct answer is the (a), 81 square units.

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Answer: 156.38 m

Step-by-step explanation:

Using the arc length formula, the answer is \(2\pi(8^2) \cdot \frac{140}{360} \approx 156.38\)

Answer:

8.25

Step-by-step explanation:

Question 2 will assist the answer to question 1.

You can calculate the horizontal and vertical lengths of two coordinates by subtracting the smallest x coordinate by the largest, doing the same for the y coordinates too:

(-3, 5) (5, 7)

5 - (-3) = 8, the width of x

7 - 5 = 2, the height of y

To calculate the distance between two coordinate sets, use the following formula:

x,y = \(\sqrt{(x2 - x1)^2 + (y2 - y1)^2}\)

Where x1 and y1 are the coordinates of the first set and x2 and y2 are the second set.

Now plug the values in:

\(\sqrt{(5 - -3)^2 + (7 - 5)^2}\)

\(\sqrt{(8)^2 + (2)^2}\)

\(\sqrt{64 + 4}\)

\(\sqrt{68}\) = 8.25

Hope this helps!

Answer:

(a) x = 3 - p²

(b) (0, ∞)

(c) 750 units [ or 0.75 thousand]

Explanation:

Given the equation:

Where:

• x = the annual number of units demanded of a product (in thousands).

• p = unit price, in dollars per unit.

Part A

x explicitly as a function of p is x=3-p².

Part B

The domain of the function is the set of all possible values of p.

The price is always non-negative, therefore, the practical domain is:

Part C

At a unit price of 1.50 i.e. p=1.50

When the unit price is 1.50, the number of units sold will be:

At a unit price of 1.50, 750 units [ or 0.75 thousand] will be sold.

Answer:

75%

Step-by-step explanation:

Answer:

29/30

Step-by-step explanation:

add

Answer: The Silo is 44 meters tall

Step-by-step explanation:

To find the height of the silo, first you have to divide the drawing height (33cm) by 1.5 to get the unit rate. Then multiply the 22 by 2 to get 44 meters (The height of the silo)

Answer:

-2<=y<=-7

Step-by-step explanation:

1. Relation 1 is a function

2. Relation 2 is a function

3. Relation 3 is not a function

4. Relation 4 is a function

From the question, we have the following parameters that can be used in our computation:

The relations (1) to (4)

Relation (1)

This relation is a function

This is because each range value point to unique domain values

Relation (2)

This relation is a function

This is because each range value point to unique domain values

Relation (3)

This relation is not a function

This is because domain values w have different range values.

Relation (4)

This relation is a function

This is because each range value point to unique domain values

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She can make 2 goodie bags.

13 lollipops

17 tootsie rolls

The GCF (greatest common factor) of 26 and 14 is 2; therefore making the greatest number of goodie bags she can make is 2.

If you divide both the numbers (26,14) by 2, you get 13 and 17.

Please mark branliest if this helped

Answer:

Step-by-step explanation:

Let "n" be the second odd number in the sequence

(n - 2) + n + (n + 2) + (n + 4) + (n + 6) = 135

                                              5n + 10 = 135

                                                      5n = 125

                                                        n = 25

23 + 25 + 27 + 29 + 31 = 135