There are 12 athletes at a track meet. How many different ways can they finish first,second, and third?

Answer: 0.06

Step-by-step explanation:

Since we only care about winning the inflatable crayon, it is unimportant whether nothing is won or a small stuffed animal is won, just that the outcome is determined by subtracting all of the possible outcomes given from the probability of winning nothing and the probability of winning a stuffed animal. Given that the total probability of all outcomes of the event is 1, we can conclude that the probability of winning an inflatable crayon is:

[tex]P(\text{not winning inflatable crayon}) = P(\text{All Outcomes}) - P(\text{winning nothing})[/tex]

[tex]- P(\text{winning a small stuffed animal)}[/tex]

[tex]P = 1-0.67-0.27 \\ = 0.06 \ $or 6\%[/tex]

Answer:

x≥42

Step-by-step explanation:

[tex]x\geq 42[/tex]

That would be the inequality, since it is equal to 42 and greater than 42, it is going to organize these numbers from least to greatest.

Answer:

The price of a medium pizza with 3 toppings is $15.

Step-by-step explanation:

If "t" represents the number of toppings, you will use the expression "9+2t" and plug in 3 for t (since there are 3 toppings)

So it will look like:

9+2(3)

Then you're gonna use PEMDAS, multiply 2*3

9+6

And then you get an answer of $15

Hope this helps :))

Answer:

-2 square root 5

Step-by-step explanation:

Answer:

8x=55+73

8x=128

X=128/8

X=16

Step-by-step explanation:

check:

-73+8(16)=55

-73+128=55

55=55

I hope you understand

Answer:

526.4

Step-by-step explanation:

560 - 6%

= 526.4 you will pay for the shirt

Answer:

267.95 cm³ (nearest hundredth)

Step-by-step explanation:

Formulae

[tex]\textsf{Volume of a sphere}=\sf \dfrac43 \pi r^3\quad\textsf{(where r is the radius)}[/tex]

[tex]\textsf{Diameter of a circle}=\sf 2r\quad\textsf{(where r is the radius)}[/tex]

Given:

⇒ radius = 8 ÷ 2 = 4cm

[tex]\begin{aligned}\implies \textsf{Volume} &=\sf \dfrac43 \cdot 3.14 \cdot 4^3\\ & = \sf 267.95\:cm^3\:(nearest\:hundredth)\end{aligned}[/tex]

Answer:

267.95 cm³

Step-by-step explanation:

Volume of a sphere

Here, diameter = 8 cm.

But, diameter = 2 x radius

Therefore, radius = 4 cm.

Solving

[tex]\qquad \textit{Amount for Exponential Decay} \\\\ A=P(1 - r)^t\qquad \begin{cases} A=\textit{current amount}\dotfill &\$12000\\ P=\textit{initial amount}\dotfill &\$30000\\ r=rate\to 25\%\to \frac{25}{100}\dotfill &0.25\\ t=years\\ \end{cases}[/tex]

[tex]12000=30000(1 - 0.25)^{t}\implies \cfrac{12000}{30000}=(1 - 0.25)^{t}\implies \cfrac{2}{5}=0.75^t \\\\\\ \log\left( \cfrac{2}{5} \right)=\log(0.75^t)\implies \log\left( \cfrac{2}{5} \right)=t\log(0.75) \\\\\\ \cfrac{~~\log\left( \frac{2}{5} \right)~~}{\log(0.75)}=t\implies 3\approx t[/tex]

Answer:

45 in 6 hours

Step-by-step explanation:

3 inches in 2 minutes

So every hour, it can do 90 inches (since we multiply 2 times 30, we have to multiply 3 times 30)

So next we need to find out how much it goes in 6 hours, so we take 6 x 90.  That gives us 540.  

Lastly, we take 540 and divide it by 12 (since there are 12 inches in a foot) and that gives us 45 feet in 6 hours.

Answer:

540 feet

Step-by-step explanation:

Convert hours to minutes - 6 * 60 = 360 minutes

3 inches in 2 minutes = 1.5 inches in 1 minute (I did this just to make the next steps easier)

Figure out the number of feet moved in 6 hours - 1.5 * 360 = 540 feet

:)

It is equivalent to 7(6) + 14

Step-by-step explanation:

⇒ 7 (6 + 2) = 7 × 8 = 56

7(6) + 14 = 42 + 14 = 56

Answer:

(a) r = -0.947928522

(b) strong, negative

Step-by-step explanation:

The Product Moment Correlation Coefficient (r) measures the strength of the linear correlation between two variables.

The PMCC is always between +1 and -1.

The closer the value of r is to +1 or -1, the stronger the correlation between the two variables.

Inputting the data from the table into a calculator and using the statistical function:

r = -0.947928522

As the value of r is close to -1, the best description for the correlation would be strong, negative

Answer:

A to C is [tex]37.51\ ft[/tex]

Step-by-step explanation:

We are given an angle and the base length. Recall:

[tex]tan(x) = \frac{opposite}{adjacent}[/tex]

Add the values:

[tex]tan(15) = \frac{x}{140}[/tex]

Solve for x:

[tex]tan(15) = \frac{x}{140}\\tan(15) * 140 = x\\37.51 = x[/tex]

The thing which the fictional account of the epidemic includes that the nonfictional account does not is the c, dialogue between made up characters.

This refers to the narration about a set of events by an author that is not real or true but is a figment of the imagination of the writer.

Hence, we can see that from the complete text, there are the details of the given text to show the differences between the fictional and non-fictional accounts which was the c, dialogue between made-up characters.

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Answer:

75

Step-by-step explanation:

because the formula of finding the area of a triangle is base times height divided by 2 so thatshow you get the answer, multiply 10by15 and then divide by 2

Answer:

The answer would be 75 ft ^2

Step-by-step explanation:

Step 1. Do 15x10 (which equals 150)
Step 2. Divide by 2 to get the answer of 75
Step 3. Label to get 75 ft ^2

Answer:

88

Step-by-step explanation:

PE M/D A/S

55/ (9-4) *8

9-4=5

55/5*8

11*8

88

Step-by-step explanation:

remember the law of sine :

a/sin(A) = b/sin(B) = c/sin(C)

where the sides and the associated angles are always opposite of each other.

and ... the sum of all angles in a triangle is always 180°.

sin(90) = 1.

1.

another right-angled triangle.

500/sin(90) = depth/sin(37)

depth = 500×sin(37)/1 = 300.9075116... m

2.

another right-angled triangle.

the ladder is the Hypotenuse (baseline).

the height of the wall and the ground distance are the 2 legs.

the angle we are looking for is opposite of the wall height.

so, we get

14/sin(90) = 13/sin(elevation) = 14

sin(elevation) = 13/14 = 0.928571429...

angle of elevation = 68.2132107...°

3.

both lines are tangents to the circle. so, both distances (from the starting point J to the touching points K and M) must be equal.

so,

5x - 4 = 2x + 2

3x = 6

x = 2

Amy's average speed during her whole journey from London to Newcastle (300 miles) was 51.422 miles per hour.

This is calculated by taking the total distance and dividing it into the total time.

First part of ther journey: 165 miles at 60mph, which is equal to 2.75 hours

Second part of her journey: 135 miles in 3.083 hours (3 hours and 5 minutes)

Average speed: 300 miles / 5.834 = 51.422 miles per hour

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Answer:

i got 95 inches

Step-by-step explanation:

Step-by-step explanation:

9.5*10=95

Answer:

860

Step-by-step explanation:

Just add 840 and 20 together   lol

Using an exponential function, it is found that the value of the function when x = 4 is of f(4) = 15.95.

It is modeled by:

[tex]y = ab^x[/tex]

In which:

In this problem, we have that f(-1)=5, hence:

[tex]5 = ab^{-1}[/tex]

[tex]\frac{a}{b} = 5[/tex]

a = 5b

We also have that f(7)=32, hence:

[tex]32 = ab^7[/tex]

Since a = 5b:

[tex]5b^8 = 32[/tex]

[tex]b = \sqrt[8]{\frac{32}{5}}[/tex]

b = 1.2612.

a = 5b = 5 x 1.2612 = 6.306.

Hence the function is given by:

[tex]y = 6.306(1.2612)^x[/tex]

Then, when x = 4, we have that:

[tex]y = 6.306(1.2612)^4 = 15.95[/tex]

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#SPJ1

Answer:

a: 88.5

b: 91

c: 91, 93

d: 88.5 AKA: the mean value.

Step-by-step explanation:

For answer D: A mean is defined as the mathematical average of the set of two or more data values which makes is perfect for calculating an overall grade by averaging all unit points together.

Answers:

=======================================================

Explanation:

Part (a)

To get the mean, first we add up the scores

89+91+94+93+93+67+90+91 = 708

Then we divide over 8 since there are 8 scores total

708/8 = 88.5

The mean is 88.5

-----------------

Part (b)

To get the median, we first need to sort the values from smallest to largest.

That sorted set looks like: {67,89,90,91,91,93,93,94}

Now cross off the first and last values to get this smaller subset: {89,90,91,91,93,93}

Repeat the last set of steps to cross off the first and last items to get {90,91,91,93}

Do this one more time to get {91,91}. The midpoint of these two values is 91, so it's the median of the entire original set.

The median is 91.

-----------------

Part (c)

The mode is {91, 93}

In other words, we have two modes and they are 91 and 93. It's perfectly possible to have more than one mode. The mode is the most frequent item(s). In this case, both 91 and 93 show up exactly twice which is the most of any other value.

As you can see, the mode isn't particularly useful as a single measure of center since we have two values instead of 1.

-----------------

Part (d)

As mentioned in the previous section, the mode isn't useful in this case. So we can rule it out. We can also rule out the mean because the value 67 is far from the group of other values (which is basically like the main cluster). We consider 67 an outlier.

The outlier pulls on the mean to be smaller than it should be. The median is a better measure of center since it's not affected by outliers.

As a real world example, consider home prices. The median price is used because of very expensive multimillion dollar mansions that greatly skew the mean to be larger than it should be.

Answer:

3468 students

Step-by-step explanation:

289 x 12 = 3468

Answer: 19

Step-by-step explanation: 950/50 = 19

Answer:

√99, 9.8 repeating, π2

Step-by-step explanation:

hope this helped!

Answer: C

Step-by-step explanation:

A mean is an arithmetic average of a set of observations. The amount that Jack has to earn in tips on Sunday if he wants to average $19 a day is $25.

A mean is an arithmetic average of a set of observations. it is given by the formula,

[tex]\rm Mean=\dfrac{\text{Sum of all obervation}}{\text{Number of observation}}[/tex]

As it is given that Jack makes $12 on Monday, $14 on Tuesday, $18 on Wednesday, $16 on Thursday, $26 on Friday and $22 on Saturday. And we need to know how much he should earn on Sunday, so the average is $19. Therefore, we can write,

[tex]\rm Mean=\dfrac{\text{Sum of all obervation}}{\text{Number of observation}}[/tex]

[tex]19 = \dfrac{12+14+18+16+26+22+x}{7}\\\\133 = 108 + x\\\\133-108=x\\\\x = 25[/tex]

Hence, the amount that Jack has to earn in tips on Sunday if he wants to average $19 a day is $25.

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