Unsure how to solve this

Answer:

5:8

Step-by-step explanation:

The probability of the baseball player getting exactly 4 hits out of 10 times at bat is approximately 0.161, or 16.1%.

To calculate the probability of a baseball player getting exactly 4 hits out of 10 times he was up at bat, we need to use the binomial probability formula.

The binomial probability formula is given by:P(X = k) = C(n, k) * p^k * (1 - p)^(n - k)

Where:

P(X = k) is the probability of getting exactly k hits

n is the total number of trials (in this case, the player's 10 times at bat)

k is the number of successful trials (in this case, 4 hits)

p is the probability of success in a single trial (in this case, the player's batting average, 0.298)

(1 - p) is the probability of failure in a single trial

Plugging in the values:

P(X = 4) = C(10, 4) * (0.298)^4 * (1 - 0.298)^(10 - 4)

Using the combination formula C(n, k) = n! / (k! * (n - k)!):

P(X = 4) = 10! / (4! * (10 - 4)!) * (0.298)^4 * (1 - 0.298)^(10 - 4)

Calculating the values:

P(X = 4) ≈ 0.161

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The function C(x) that represents the cost of a pizza with at least one topping, where x is the number of toppings is C(x) = 9.99 + 1.25x

The domain is x >= 0 and the range is c(x) >= 9.99

The given parameters are:

One topping = 9.99

Additional topping = 1.25 each

We have x to represent the number of toppings

This means that

C(x) = One topping + Additional topping  * x

So, we have

C(x) = 9.99 + 1.25x

We have

C(x) = 9.99 + 1.25x

The smallest number of topping is 0

So, the domain is x >= 0

Substitute 0 for x in C(x) = 9.99 + 1.25x

C(0) = 9.99 + 1.25(0)

This gives

C(0) = 9.99

So, the range is c(x) >= 9.99

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Answer:

D.

Step-by-step explanation:

6a² = surface area for cube

6(5)² = 150

2\(\pi\)(r)(h)+2\(\pi\)r²  = surface area cylinder

2\(\pi\)(2)(3)+2\(\pi\)(4) = 20pi

150 + 20pi = 212.8318531

Answer:

X/4=3/6

Start off by cross multiplying the tops and bottoms, so X/4=3/6 turns into 6X=12. Now divide by 6 on both sides.

6X=12      X=2

Answer:

2

Step-by-step explanation:

Cross Multiple and Divide

X. 3

----. = ----

4. 6

So what you want to do is multiply diagonally:

(6)(X) = 6X

(3)(4) = 12

Now that we have our two answers, we put an equal sign between them.

6X = 12

Now to get X alone. Since it's being multiplied by 6, you want to do the opposite and divide.

So remember to divide on both sides to get rid of the 6.

6X divided by 6 is just X.

12 divided by 6 is 2

We got our answers, put the equal sign in-between

X = 2

Their total weight before getting into the same car is,

⇒ ( M + A ) + G

The process of combining two or more numbers is called the Addition. The 4 main properties of addition are commutative, associative, distributive, and additive identity.

Given that;

Molly's weight is M kilograms, Arthur's weight is A kilograms, and Ginny's weight is G kilograms.

Hence, Their total weight before getting into the same car is,

⇒ ( M + A ) + G

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Answer:

fgd

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

It looks right

sorry if it’s wrong

Answer:

16

Step-by-step explanation:

It's 8 cubes by 2 cubes, and multiply it to get 16.

Answer:

Answer:The volume of the rectangular prism is 48

Step-by-step explanation:

I got my answer because volume equals length x width x height

Answer:

x = -5

Step-by-step explanation:

Original equation:

2(2x - 7) = -34

Use distributive property

2 · 2x = 4x

2 · (-7) = -14

Plug these values back into the equation

4x - 14 = -34

Add 14 to both sides

4x = -20

Divide both sides by 4

x = -5

Hope this helps :)

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Answer:

33.9

Step-by-step explanation:

cos rule:

a²=b²+c²-2xaxbxcosA

rearrange:

cosA=(b²+c²-a²)÷(2xaxb)

solve:

cosx=(8²+22²-16²)÷(2x8x22)

cosx=(64+484-256)÷352

cosx=292÷352

cosx=0.830

cos^-1(shift cos)=33.9

\(\textit{area of a sector of a circle}\\ A=\cfrac{\pi \theta r^2}{360}~~ \begin{cases} r=radius\\ \theta =\stackrel{degrees}{angle}\\[-0.5em] \hrulefill\\ r=24\\ \theta =45 \end{cases}\implies A=\cfrac{\pi (45)(24)^2}{360}\implies A=72\pi\)

In light of the query H(x) is defined as h(x) = (x2 - 4) + 8 .

The link between Inputs is demonstrated by the relation. A function, on the other hand, is a relation that yields one Out for each given. It's not like all functions are relations, despite the fact that all relations are functions.

The vertex of the graph g(x) = \(x^2 - 4\) is located at (0,-4). Every pixel on the g(x) graph has to have its y-coordinate increased by 8 in order to be shifted vertical upward by 8 units. Therefore, the formula for h(x) is:

h(x) = (x^2 - 4) + 8

or h(x) = x^2 + 4

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The result of the number 1 trillion to the 10th power as required to be determined is; 10¹²⁰.

The result of the number 1 trillion to the 10th power is as follows;

Recall; 1 trillion = 1,000,000,000,000 = 10¹²

Hence; 1 trillion to the 10th power is; ( 10¹² )¹⁰.

From the laws of indices; we therefore have that;

= 10¹²⁰

Ultimately, the result is; 10¹²⁰.

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Answer: The answer is (From greatest to Least)

0.101

0.100

0.012

0.001

Step-by-step explanation

the answer is because u have to know the tenth, hundredth, and thousandth

Answer:

80 in^2

Step-by-step explanation:

Surface area = sum of all the faces of a 3d figure

SA = 2(lw + hw + hl)   l=length w=width h=length

(This is technically finding the area of all the faces and adding them up)

2(4 x 3 + 4 x 3 + 4 x 4)

2(12 + 12 + 16)

24 + 24 + 32

48 + 32

80 in^2

have a great day! :D

Answer:

80

Step-by-step explanation:

A=2(wl+hl+hw)=2·(4·3+4·3+4·4)=80

The correct option b. Debit Accounts Payable $1,000; Credit Cash $980; Credit Merchandise Inventory $20, is the required journal entry for Toys R Fun.

For the stated question;

Toys R Fun is offered a discount of two percent if he settles within 10 days as well as the payable is required in 30 days, as indicated by the terms "2/10,n/30."

$20 (2 percent of $1,000) is the result.

On the 17th, which falls inside the discount days, the payment for the journal entry for Toys R Fun is:

$1,000 - Dr. Accounts Payable

Cr money - $980

$20 worth of Cr inventory.

Let's say, however, that the payment is made by December 30 rather than that day.

The submission will be:

$1,000 Dr. Accounts Payable.

$1,000 cash in Cr.

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The complete question is-

On Dec. 7, Toys R Fun purchased $1,000 of merchandise with terms of 2/10,n/30. If payment is made on December 30, demonstrate the required journal entry for Toys R Fun to record the payment under the perpetual inventory system.

a. Debit Cash $1,000; Credit Accounts Payable $1,000

b. Debit Accounts Payable $1,000; credit Cash $980; credit Merchandise Inventory $20.

c. Debit Accounts Payable $1,000; credit Cash $1,000

The equation of the line would be y = (4/5)x + 4 which in slope-intercept form represents the graph.

The graph is given in the question.

As per the given line, we take two points (0, 4) and (5, 8)

Let the required line would be y - y₁ = (y₂ - y₁)/(x₂ -x₁ )[x -x₁]

x₁ = 0, y₁ = 4

x₂ = 5, y₂ = 8

⇒ y - y₁ = (y₂ - y₁)/(x₂ -x₁ )[x -x₁]

Substitute values in the equation, we get

⇒ y - 4 = (8 - 4)/(5-0 )[x -0]

⇒ y - 4 = (4/5)x

⇒ y = (4/5)x + 4

The given equation of the line y = 4x + 5 is incorrect because its slope is not correct.

So, the equation of the line would be y = (4/5)x + 4.

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Probability = # of desired options / # of total options

Our desired option is blue and there are 9 blue marbles in the bag.

There are 32 total marbles (options) in the bag.

P(blue) = 9 / 32 = 0.28125 = 28.125%

Hope this helps!

Answer:

15

Step-by-step explanation:

180-15

Hello!

the sum of the angles in the triangle = 180°

so the 3rd angle = 180° - 165° = 15°

Answer: h= 7/10

Step-by-step explanation:

9(4h - 6 ) = 2(-13 - 2h)       Distribute on both sides

9(4h) + 9(-6) = 2(-13) + 2(-2h)

36h - 54 = -26 - 4h       Add 4h to both sides

+4h                   +4h

40h - 54 = -26      Add 54 to both sides

      +54     +54

40h = 28     Divide both sides by 40

h = 7/10

Answer:

h= 7/10

Step 1: Remove the parentheses

9(4h - 6) = 2( -13 - 2h) = 36h-54= -26 -4h

Step 2: Move the terms

36h-54= -26 -4h = 36h+4= -26 + 54

Step 3: Calculate like terms

36h+4= -26 + 54 = 40h=28

Step 4: Divide both sides

40h=28 = h= 7/10

(In decimal form - h=0.7)

Answer: Changing the radius of an object by a given amount has a greater effect on the volume than changing the height by the same amount. The volume of a cylinder is given by the formula V = πr²h, where V is the volume, r is the radius, and h is the height. If we change the radius by a given amount, say x, the new radius would be r+x. Hence, the new volume would be V' = π(r+x)²h = π(r²+2rx+x²)h = V + 2πrxh + πx²h. We can see that the volume change equals 2πrxh + πx²h. The first term is proportional to both the radius and the height, whereas the second term is proportional to the square of the radius and the height. Assuming that the height change is also x, the new volume would be V'' = πr²(h+x) = V + πr²x. We can see that the volume change is proportional to the radius squared and the change in height. Therefore, changing the radius by a given amount has a greater effect on the volume than changing the height by the same amount.

Answer:

Step-by-step explanation:

Here's a step by step solution with more details:

Let's call the length of the two equal sides of the triangle as x.

The third side, which is 1 1/3 cm longer, will have a length of x + 1 1/3 cm.

The perimeter of the triangle is 5 2/5 cm, so we can write an equation using the lengths of the sides:

x + x + (x + 1 1/3) = 5 2/5

Simplifying the equation:

2x + 1 1/3 = 5 2/5

Subtracting 1 1/3 from both sides:

2x = 4 1/5

Dividing both sides by 2:

x = 2 2/5

So the two equal sides of the triangle are 2 2/5 cm and the third side is 2 2/5 + 1 1/3 = 3 7/15 cm.

Answer:

One equal side = \(1\frac{16}{45}\)cm and third side is \(2\frac{31}{45}\)cm

Step-by-step explanation:

This is describing an isosceles triangle

1\(\frac{1}{3}\) = \(\frac{4}{3}\)

5\(\frac{2}{5}\) = \(\frac{27}{5}\)

Let

x = one of the two equal sides of the triangle

∴ Third side of triangle = \(\frac{4}{3} + x\)

Perimeter of a triangle = Sum of all three sides:

\(\frac{27}{5}\) \(= x + x + (\frac{4}{3} + x)\)

Expand the parenthesis using the Distributive Law and bring all the like terms together:

\(=\frac{27}{5} = 2x + \frac{4}{3} + x\)

\(= \frac{27}{5} = 3x + \frac{4}{3}\)

\(= \frac{27}{5} -\frac{4}{3} = 3x\)

The two denominators of the two fractions have to be manipulated to be made the same:

\(= (\frac{3}{3})(\frac{27}{5}) - (\frac{5}{5})(\frac{4}{3}) = 3x\)

\(= \frac{81}{15} - \frac{20}{15} = 3x\)

\(= \frac{81 - 20}{15} = 3x\)

\(= \frac{61}{15} = 3x\)

Cross-multiplication is added:

\(= (61)(1) = (15)(3x)\)

\(= 61 = 45x\)

Isolate x and make it the subject of the formula:

x = \(\frac{61}{45}\)

x = One of the two equal sides = \(1\frac{16}{45}\)cm

∴Third side:

= \(\frac{61}{45} + \frac{4}{3}\)

= \(\frac{61}{45} + (\frac{15}{15})(\frac{4}{3})\)

= \(\frac{61}{45} + \frac{60}{45}\)

= \(\frac{61 + 60}{45}\)

= \(\frac{121}{45}\)

= \(2\frac{31}{45}\)cm

a. To create a pie chart to show the total medal winnings of the Top 10 NOCs at the Beijing 2022 Winter Olympic games:

Obtain the data for the medal winnings of the Top 10 NOCs

Calculate the total medal winnings for each NOC (i.e., the sum of gold, silver, and bronze medals)

Create a pie chart in Excel or any other software by selecting the data and choosing the pie chart option

Add a title and labels to the chart to show the NOCs and their corresponding medal winnings

b. The interpretation of the pie chart produced in Question 8a) depends on the shape and distribution of the chart. Two probable justifications for the behavior of the data are:

Dominance of certain NOCs: The pie chart may show that certain NOCs have a significantly higher share of medal winnings compared to others. This may be due to the dominance of these NOCs in specific sports or events, or due to their superior training and preparation.

Balanced distribution of medals: The pie chart may show a relatively balanced distribution of medal winnings among the Top 10 NOCs. This may indicate a high level of competitiveness and equal opportunities for success among the NOCs.

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Answer:

KRM = 44 degrees, MRD = 46 degrees

Step-by-step explanation:

This angle is a right angle so it equals 90 degrees. That means that equations 3g + 29 and 7g + 11 will amount to 90 degrees.

(3g + 29) + (7g + 11) = 90

Combine like terms:

10g + 40 = 90

10g = 50

g = 5

Plug in 5 to both equals (in this case the question only asks for 3g + 29 or KRM):

3(5) + 29 =

15 + 29 =

44 =

7(5) + 11 =

35 + 11 =

46 =

Answer:

Step-by-step explanation:

Given that:

To Find:

Equation:

Where,

Finding the number of suitcases:

⟶ y = 1.98x + 7.97

⟶ y = 1.98(250) + 7.97

⟶ y = 495 + 7.97

⟶ y = 502.97 ≈ 503

Hence,

Answer:

\(y=-\frac{5}{2}x-16\)

Step-by-step explanation:

Slope intercept form is a way of expressing a line in the format;

\(y=mx+b\)

Where (m) is the slope of the line, and (b) is the y-intercept. One can solve for (b) by substituting in a point on the line and using inverse operations to solve.

\(y=mx+b\\\\m=-\frac{5}{2}\\\\y=-\frac{5}{2}x+b\)

Substitute in point (-6, -1)

\(-1=-\frac{5}{2}(-6)+b\\\\-1=15+b\\\\-15\\\\-16=b\)

\(y=-\frac{5}{2}x-16\)

Answer:

Step-by-step explanation:

37