Which ratio completes the probability distribution table?

Answer:

i think b

Step-by-step explanation:

tell me if im wrong

Answer:

Multiply by 100

Step-by-step explanation:

There are 100 centimeters in a meter, so multiply your value for meters by 100

100 i learned this before so if you have 2 meters there are 200 centimeters

Answer:

hot dogs- $1.25

hamburgers- $1.50

Step-by-step explanation:

let hot dogs be x and hamburgers be y∀

five hot dogs and two hamburgers cost $9.25

5x + 2y = $9.25 (eq. 1)

5x=9.25-2y

divide both sides by 5x

x= 1.85-0.4 (insert this in eq. 2)

two hotdogs and five hamburgers cost $10.00

2x + 5y = $10.00 (eq. 2)

2×(1.85-0.4) +5y=10.00

3.7 - 0.8 + 5y = 10.00

-0.8+5y=10.00-3.7

4.2y=6.3

divide both sides by 4.2 to evaluate the variable

6.3 divided by 4.2

y=1.50

now find x

x=1.85-0.4×1.5

x=1.85-0.6

x= 1.25

The length and width of the rectangle is 11 in and 8 in respectively.

Step-by-step explanation:

Given,

The width of a rectangle is 3 in less than the length.

The area of each congruent right angle triangle = 44 in²

To find the length and width of the rectangle.

Formula

The area of a triangle with b base and h as height = [tex]\frac{1}{2}[/tex]bh

Now,

Let, the width = x and the length = x+3.

Here, for the triangle, width will be its base and length will be its height.

According to the problem,

[tex]\frac{1}{2}[/tex]×(x+3)×x = 44

or, [tex]x^{2} +3x = 88[/tex]

or,[tex]x^{2} +3x-88 = 0[/tex]

or, [tex]x^{2}[/tex]+(11-8)x-88 = 0

or, [tex]x^{2}[/tex]+11x-8x-88 =0

or, x(x+11)-8(x+11) = 0

or, (x+11)(x-8) = 0

So, x = 8 ( x≠-11, the length or width could no be negative)

Hence,

Width = 8 in and length = 8+3 = 11 in

Answer:

P43=4!(4–3)!=241=24 24 possible choices

Step-by-step explanation:

There are four choices you can make for the lead reindeer. For each possible choice, there are then three remaining you can choose to fly second, making 4×3=12 choices for the lead pair. For each possible choice there are two remaining reindeer to take up the back position, making 12×2=24 choices for the team of three.

This type of problem is called a permutation problem, and we write Pnr for the number of ways of choosing r items from n possibilities when the order of the items matters. In this case we are choosing 3 reindeer from 4 possibilities, and the order they appear in the flying line does matter, so the answer we want is P43. The general formula is Pnr=n!(n−r)!. For the answer we are looking for we therefore have:

P43=4!(4–3)!=241=24

Brainliest?

Answer: the equation is x/2=18.8

Step-by-step explanation: you start with x because that’s the number and you divide it by 2 because that’s the same as halving then you write =18.8.

Final answer:

To form the equation based on the information provided, use the fact that Dan halves the number and gets 18.8. Solve by applying basic algebra to find the original number Dan was thinking of.

Explanation:

Equation: Let the original number that Dan was thinking of be represented by x. Given that Dan halves the number and gets 18.8, we can form the equation:

x / 2 = 18.8

Solving for x: Multiply both sides by 2 to find that the original number Dan was thinking of is x = 18.8 x 2 = 37.6.

Amelie needs [tex]\( 28\frac{1}{4} \)[/tex] cups of flour for her recipe.

Amelie's recipe uses [tex]\( \frac{1}{4} \)[/tex] cups of flour and she's making [tex]\( 2\frac{1}{2} \)[/tex]times the original recipe. To find the total amount of flour needed, we multiply the two quantities:

1. Original Quantity of Flour: [tex]\( \frac{1}{4} \)[/tex] cups

2.Multiply by the Recipe Multiplier: [tex]\( 2\frac{1}{2} \times \frac{1}{4} \)[/tex]

3.Convert Mixed Number to Improper Fraction: [tex]\( 2\frac{1}{2} = \frac{5}{2} \)[/tex]

4. Perform the Multiplication:

 [tex]\[ \frac{5}{2} \times \frac{1}{4} = \frac{5}{8} \][/tex]

Since Amelie is using [tex]\( \frac{5}{8} \)[/tex] of the grid and each square represents 1 cup, we can calculate the total cups by multiplying the number of squares in the grid by [tex]\( \frac{5}{8} \)[/tex]:

5.Total Squares in the Grid: [tex]\( 8 \times 4 = 32 \)[/tex]

6.Total Flour Needed:

[tex]\[ 32 \times \frac{5}{8} = 4 \times 5 = 20 \text{ cups} \][/tex]

However, since the grid seems to represent a multiplication model for the entire recipe amount, and we've been given that she's using[tex]\( 1\frac{3}{4} \)[/tex]  cups and multiplying it by [tex]\( 2\frac{1}{2} \)[/tex], we should calculate as follows:

1. Convert [tex]\( 1\frac{3}{4} \)[/tex] cups to an improper fraction: [tex]\( \frac{7}{4} \)[/tex] cups.

2. Multiply[tex]\( \frac{7}{4} \) by \( 2\frac{1}{2} \)[/tex] (which is [tex]\( \frac{5}{2} \)[/tex] as an improper fraction):

 [tex]\[ \frac{7}{4} \times \frac{5}{2} = \frac{35}{8} \][/tex]

3. Convert \( \frac{35}{8} \) to a mixed number:

 [tex]\[ \frac{35}{8} = 4\frac{3}{8} \text{ cups} \][/tex]

Looking at the model provided, the total grid represents[tex]\( 2\frac{1}{2} \)[/tex]times the original recipe, which is [tex]\( 1\frac{3}{4} \)[/tex] cups of flour. The full grid has [tex]\( 8 \times 4 = 32 \)[/tex]squares, where each square represents [tex]\( \frac{1}{4} \)[/tex] cup of flour, giving us a total of 8 cups represented by the full grid. Since we want [tex]\( 2\frac{1}{2} \) or \( \frac{5}{2} \)[/tex] of this grid, we multiply:

[tex]\[ \text{Total flour} = 8 \times \frac{5}{2} = 4 \times 5 = 20 \text{ cups} \][/tex]

However, the discrepancy arises because the image shows a grid that is partially shaded, suggesting that we're looking at a portion of the full recipe's flour amount. Without clear visibility or description of the image, the precise interpretation of the grid is ambiguous.

Given this, the correct interpretation based on the model provided would be to calculate as follows:

[tex]\[ \frac{32}{4} \times \frac{5}{2} = 8 \times \frac{5}{2} = 20 \text{ cups} \][/tex]

If the grid is fully shaded, which means the entire grid is being used to represent the amount of flour, then Amelie needs 20 cups of flour for her recipe. If the grid is partially shaded and we are to use the fraction[tex]\( \frac{35}{8} \) (or \( 4\frac{3}{8} \) cups)[/tex] from the shaded portion, then the amount of flour needed would be [tex]\( 4\frac{3}{8} \)[/tex] cups. The mixed number in simplest form for the latter calculation would be [tex]\( 4\frac{3}{8} \)[/tex] cups.

complete question given below:

Amelie is making a recipe that uses 1 3/4 cups flour. She is making 2 1/2 times the original recipe.Amelie draws this model to represent the number of cups of flour she needs.How many cups of flour does Amelie need?Enter your answer as a mixed number in simplest form by filling in the boxes.

Answer:6.25

Step-by-step explanation:divide 75 of 300

Answer:

210

Step-by-step explanation:

70% of 300

70%= 0.7

0.7*300

=210

Answer: Twiddle dee dee can type 3960 words per hour.

Step-by-step explanation:

There are 3600 seconds in an hour.

3600 ÷ 20 = 180

Therefore, she/he can type 22 words 180 times during the hour.

22 · 180 = 3960

So, twiddle dee dee can type 3960 words per hour. (or 66 words per minute). This is my first answer, but I do hope this helps!

Her typing rate per hour is 3,960 words.

To determine Twiddle Dee Dee's typing rate per hour, we first need to convert the rate from words per second to words per hour. Twiddle Dee Dee types 22 words in 20 seconds. To find out how many words she types in one minute, we divide the number of seconds in a minute by the time it took her to type those 22 words:

60 seconds / 20 seconds = 3

Now we multiply this factor by the number of words:

22 words × 3 = 66 words per minute

Now to find the rate per hour, we multiply the words per minute by the number of minutes in an hour:

66 words/minute × 60 minutes/hour = 3,960 words/hour

Therefore, Twiddle Dee Dee's typing rate per hour is 3,960 words.

Answer:

The width is 23cm

Step-by-step explanation:

9*2 = 18

64-18 = 46

46/2 = 23

Answer:

the common ratio is 0.98.

Step-by-step explanation:

A fish population in a lake decreases by 2% each year. We are asked to find the common ratio.

The decrease of population of fish 2% annually means the population becomes next year 100% - 2% = 98%

Therefore, the common ratio would be 98%. Upon converting 98 percent to a decimal we will get,

98% = [tex]\frac{98}{100}=0.98[/tex]

Therefore, the common ratio or decay factor is 0.98.

Answer:

D. .98

Step-by-step explanation:

Just got it right on the test

Answer:

6%

Step-by-step explanation:

we know that

To find out the percentage chance that Karissa has of winning the necklace, divide the number of tickets purchased by the total number of tickets

so

[tex]\frac{9}{150}=0.06[/tex]

Convert to percentage (multiply by 100)

[tex]0.06(100)=6\%[/tex]

Answer:

a=bh

Step-by-step explanation:

the answer is 70

im sorry if thats not right

Answer:

The answer to your question is Area = 70 cm²

Step-by-step explanation:

Data

height = 5 cm

base = 14 cm

side = 13 cm

To solve this problem just look for the formula and substitute the values. It is not necessary the length of the short side.

Formula

Area = base x height

-Substitution

Area = 14 x 5

-Result

Area = 70 cm²

Answer:

1109

Step-by-step explanation:

you can subtract the terms to see the difference between them

-11-(-27)=16

The sequence is increasing by 16

you can plug that 16 in the formula for d

a_n=a_1+(n-1)d

a_n=a_1+(n-1)16

n represents the term you want to find in this case the 72nd

a sub 1 is the first term of the sequence in this case -27

a_72=-27+(72-1)16

a_72=-27+(71)16

a_72=-27+1136

a_72=1109

The 72nd term of the given arithmetic sequence is 1109.

A sequence in which the difference between any two consecutive terms is the same is known as an arithmetic sequence.

The given arithmetic sequence is -27, -11, 5...

The common difference of the arithmetic sequence is:

d = -11 - (-27)

d = 16

The nth term of an arithmetic sequence is:

aₙ = a₁ + (n-1)d

   = -27 + (n-1)16

   = -27 +16n -16

   = 16n - 43

To find the 72nd term, substitute n = 72 into the above equation:

a₇₂ = 16(72) -43

a₇₂ = 1109

Hence, the 72nd term of the given arithmetic sequence is 1109.

Learn more arithmetic sequences here:

https://brainly.com/question/15412619

#SPJ2

Answer:

The correct option is;

21 ft

Step-by-step explanation:

The equation of the parabolic arc is as follows;

y = a(x - h)² + k

Where the height is 25 ft and the span is 40 ft, the coordinates of the vertex (h, k) is then (20, 25)

We therefore have;

y = a(x - 20)² + 25

Whereby the parabola starts from the origin (0, 0), we have;

0 = a(0 - 20)² + 25

0 = 20²a + 25 → 0 = 400·a + 25

∴a = -25/400 = -1/16

The equation of the parabola is therefore;

[tex]y = (-\frac{1}{16})(x-20)^2 + 25[/tex]

To find the height 8 ft from the center, where the center is at x = 20 we have 8 ft from center = x = 20 - 8 = 12 or x = 20 + 8 = 28

Therefore, plugging the value of x = 12 or 28 in the equation for the parabola gives;

[tex]y = (-\frac{1}{16})(12-20)^2 + 25 = (-\frac{1}{16})(-8)^2 + 25 = 21 \ ft[/tex].

Final answer:

By creating and solving the equation of a parabola which matches the description of the arch, it is found that the height of the arch 8 feet from the center is 21 feet.

Explanation:

To determine how high the parabolic arch is 8 feet from each side of the center, we can use the properties of a parabola to set up an equation. The vertex of the parabola (the highest point) is in the center of the arch, so we know that the parabola is symmetrical about the vertex.

The general form of a parabolic equation is y = ax^2 + bx + c. In this scenario:

The vertex is at the origin (0,25).

The arch has a span (width) of 40 feet, so its x-intercepts, or roots, are at (-20,0) and (20,0).

To find the parabolic constant, a, we use the x-intercepts to establish the equation 0 = a(20)^2, which simplifies to a = -25/400 = -1/16 because we know that the height at the x-intercepts is 0.

The parabolic equation for the arch is then y = -1/16x^2 + 25. To find the height 8 feet from the center, we substitute x with 8:

y = -1/16(8)^2 + 25 = -1/16(64) + 25 = -4 + 25 = 21

Therefore, the arch is 21 feet high 8 feet from each side of the center.

A horizontal translation is expressed by transforming

[tex]f(x)\mapsto f(x+k)[/tex]

If [tex]k[/tex] is positive, the function is translated to the left. If [tex]k[/tex] is negative, the function is translated to the right.

So, a 3-units left shift is given by [tex]k=3[/tex]. So you have

[tex]f(x)=2x^2-1 \implies f(x+3)=2(x+3)^2-1[/tex]