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3 years ago

An ice cream store sells 28 flavors of ice cream. Determine the number of 4 dip sundaes.

Mathematics

1 answer:

katrin [286]3 years ago

5 0

Answer:

$20,475\ ways$

Step-by-step explanation:

we know that

Combinations are a way to calculate the total outcomes of an event where order of the outcomes does not matter.

To calculate combinations, we will use the formula

$C(n,r)=\frac{n!}{r!(n-r)!}$

where

n represents the total number of items

r represents the number of items being chosen at a time.

In this problem

$n=28\\r=4$

substitute

$C(28,4)=\frac{28!}{4!(28-4)!}\\\\C(28,4)=\frac{28!}{4!(24)!}$

simplify

$C(28,4)=\frac{(28)(27)(26)(25)(24!)}{4!(24)!}$

$C(28,4)=\frac{(28)(27)(26)(25)}{(4)(3)(2)(1)}$

$C(28,4)=20,475\ ways$

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What is the distance between A(-8, 4) and B(4, -1)?

Anettt [7]

Answer:

The distance between A(-8, 4) and B(4, -1) is 13 units.

Step-by-step explanation:

To find the distance between any two points, we can use the distance formula given by:

$\displaystyle d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2$

We have the two points A(-8, 4) and B(4, -1). Let A(-8, 4) be (x₁, y₁) and let B(4, -1) be (x₂, y₂). Substitute:

$d=\sqrt{(4-(-8))^2+(-1-4)^2}$

Evaluate:

$d=\sqrt{(12)^2+(-5)^2}$

So:

$d=\sqrt{144+25}=\sqrt{169}=13\text{ units}$

The distance between A(-8, 4) and B(4, -1) is 13 units.

7 0

2 years ago

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Would like scatter plot image with line of best fit on the plot

dlinn [17]

Just take it in co-ordinate pairs

(x,y)=(Arm span,Height)

Take two points

(58,60)
(41,40)

Slope:-

$\\ \sf\longmapsto m=\dfrac{40-60}{41-58}$

$\\ \sf\longmapsto m=\dfrac{-20}{-17}$

$\\ \sf\longmapsto m=\dfrac{20}{17}$

$\\ \sf\longmapsto m\approx 1.2$

Equation of line in point slope form

$\\ \sf\longmapsto y-y_1=m(x-x_1)$

$\\ \sf\longmapsto y-60=1.2(x-58)$

$\\ \sf\longmapsto y-60=1.2x-69.6$

$\\ \sf\longmapsto 1.2x-y-9.6=0$

Convert to slope intercept form y=mx+b

$\\ \sf\longmapsto y=1.2x-9.6$

Graph attached

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2 years ago

In the diagram,

forsale [732]

Answer:

Probability that the measure of a segment is greater than 3 = 0.6

Step-by-step explanation:

From the given attachment,

AB ≅ BC, AC ≅ CD and AD = 12

Therefore, AC ≅ CD = $\frac{1}{2}(\text{AD})$

= 6 units

Since AC ≅ CD

AB + BC ≅ CD

2(AB) = 6

AB = 3 units

Now we have measurements of the segments as,

AB = BC = 3 units

AC = CD = 6 units

AD = 12 units

Total number of segments = 5

Length of segments more than 3 = 3

Probability to pick a segment measuring greater than 3,

= $\frac{\text{Total number of segments measuring greater than 3}}{Total number of segments}$

= $\frac{3}{5}$

= 0.6

4 0

3 years ago

the ratio of the shoes sold to sndals sold was 3:10 if there were 14 more sandalssoldhow many shoes weresold?

Dafna11 [192]

The ratio would be 8:24 (Shoes sold is 8)

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3 years ago

12. Find the measure of the largest angle in the triangle shown.

Art [367]

Step-by-step explanation:

all angles of a triangle sum to 180

180 = 15x + 24x +21x

180=60x

solve for x

then substitute that for 24(x) to get the angle

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3 years ago

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