Life Span of Cats (in years)



The life spans of eight different cats were used to create the box plot shown above. Which of the following is the interquartile range of the set of life spans?
A.
5
B.
7
C.
3.5
D.
9

Answer:

726

Step-by-step explanation:

Answer:

[tex]P(B) = 0.3[/tex]

Step-by-step explanation:

We use the following formula for Venn probabilities to solve this question.

[tex]P(A \cup B) = P(A) + P(B) - P(A \cap B)[/tex]

P((AUB)') = 0.4

This means that:

[tex]P(A \cup B) = 1 - P(A \cup B)' = 1 - 0.4 = 0.6[/tex]

We also have that:

[tex]P(A) = 0.5, P(A \cap B) = 0.2[/tex]

What is P(B)?​

[tex]P(A \cup B) = P(A) + P(B) - P(A \cap B)[/tex]

[tex]0.6 = 0.5 + P(B) - 0.2[/tex]

[tex]0.3 + P(B) = 0.6[/tex]

[tex]P(B) = 0.3[/tex]

Answer:

It is a decreasing function for 0 < b < 1.

Step-by-step explanation:

Logarithm function:

The logarithm function is given by:

[tex]F(x) = \log_{b}{(x)}[/tex]

The base b determines if the function increases or decreases.

For 0 < b < 1, the function decreases.

For b > 1, the function increases.

In this question:

By the definition above, it is a decreasing function for 0 < b < 1.

its 50.3.2  tags: c c c cc  cc c  c c c ar c free car no yes show two plus pwe

Answer:

$3.15

Step-by-step explanation:

$4.16+$1.50+$1.19=$6.85

$10.00-$6.85=$3.15

(Sorry if it's wrong.)

Answer: 30°

Step-by-step explanation:

we have to find the angle adjacent with the right angle. For this we use the (-).

At this point, I am guessing you know how to use SOH-CAH-TOA, for this one we use SOH so sin. If you have a calculator set it on degree mode, then plug it in as sin⁻₁(), we put it like that because the missing angle has the given number opposite and the hypotenuse. It solves it and now we get 30 for the answer. I dont know if that made sense, tell me if it didnt so I can explain it better.

Answer:

1/4 x 3/4 = 3/16

Answer:

SINGH???

Step-by-step explanation:

Answer:

y=-2x+5

Step-by-step explanation:

Use the equation y=mx+b

We can find the b(y-intercept) by looking at the graph

The graph crosses the y-axis at (0,5)

We can look at the slope at the graph. We can see its down 4 over 2 so the slope is -2.

Plug that into the equation y=mx+b

y=-2x+5

Answer:

C and B

Step-by-step explanation:

Parallel is when two lines are exactly parallel from eachother which means they both have to go in the same direction. It has to be two lines that dont meet up with eachother when you continue the lines.

Answer:

34

Step-by-step explanation:

Hope helps :)

Answer:

Hi! Your answer is 34! :D

Step-by-step explanation:

The lovely human who answered above me is indeed correct.

I hope you have an amazing day! Please give brainliest!

Answer:

part B needs to change

Step-by-step explanation:

Answer:

b. 45 N

Step-by-step explanation:

The sum of the forces exerted by the two miners = 25 + 20

                                           = 45 N

Since after applying a force of 45 N by the two miners the cart remained stationary, it implies that a resistance force of at least 45 N acts against their push. Thus, the force exerted by the road could be equal to 45 N or greater than 45 N.

Probably, if the sum of the forces applied is 46 N, the cart would move. Which depends on the value of resistance force applied by the road. Thus, the appropriate answer from the given option is B.

Since the force applied on the cart equals the resistance force exerted by the road, the cart would not move.

Answer:

a. Their average weight is of 200 pounds.

b. 0.0875 = 8.75% probability that the maximum safe weight will be exceeded

c. 0.0002 = 0.02% probability that the maximum safe weight will be exceeded

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

a. If 60 people are riding the coaster, and their total weight is 12,000 pounds, what is their average weight?

12000/60 = 200 pounds

Their average weight is of 200 pounds.

b. If a random sample of 60 adult men ride the coaster, what is the probability that the maximum safe weight will be exceeded?

Men means that [tex]\mu = 189, \sigma = 63[/tex].

Sample of 60 means that [tex]n = 60, s = \frac{63}{\sqrt{60}} = 8.13[/tex]

Safe weight will be exceeded if the sample mean is above 200 pounds, which has probability of 1 subtracted by the pvalue of Z when X = 200. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

By the Central Limit Theorem

[tex]Z = \frac{X - \mu}{s}[/tex]

[tex]Z = \frac{200 - 189}{8.13}[/tex]

[tex]Z = 1.35[/tex]

[tex]Z = 1.35[/tex] has a pvalue of 0.9115

1 - 0.9115 = 0.0875

0.0875 = 8.75% probability that the maximum safe weight will be exceeded.

c. If a random sample of 60 adult women ride the coaster, what is the probability that the maximum safe weight will be exceeded?

Women means that [tex]\mu = 165, \sigma = 76[/tex]

Sample of 60 means that [tex]n = 60, s = \frac{76}{\sqrt{60}} = 9.81[/tex]

[tex]Z = \frac{X - \mu}{s}[/tex]

[tex]Z = \frac{200 - 165}{9.81}[/tex]

[tex]Z = 3.57[/tex]

[tex]Z = 3.57[/tex] has a pvalue of 0.9998

1 - 0.9998 = 0.0002

0.0002 = 0.02% probability that the maximum safe weight will be exceeded

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

Explanation:

The vertical bar means "given", so saying "P(Horse | Female)" means "The probability of selecting a horse given the animal is female". Since we know the animal is female, we focus only on the second column.

There are 2 female horses out of 26 female animals total. Therefore, the probability we want is 2/26 = 1/13

Side note: The hint your teacher provides is also another route you can take, but I find it's a bit more complicated in my opinion.

P (Horse | Female) = 1/13

"Probability is a branch of mathematics which deals with finding out the likelihood of the occurrence of an event."

P(A) = n(A)/n(S)

where,  n(A) is the number of favorable outcomes,

n(S) is the total number of events in the sample space.

"It is the probability of an event occurring given that another event has already occurred."

The probability of event A occurring given that event B has already occurred is,

P(A|B) = P(A ∩ B)/P(B)

where, P(A ∩ B) the joint probability of events A and B

For given example,

We need to find P (Horse | Female)

From given table we can observe that there are 40 animals on farm.

⇒ n(S) = 40

First we find the probability of female animals on farm.

⇒ number of female animals = 26

Using the formula of probability,

⇒ P(Female) = n(Female)/n(S)

⇒ P(Female) = 26/40

First we find the probability of female horse [P(Horse and Female)] animals on farm.

⇒ n(Horse and Female) = 2

Using the formula of probability,

⇒ P(Horse and Female) = n(Horse and Female) / n(S)

⇒ P(Horse and Female) = 2/40

Using the formula of conditional probability,

⇒ P (Horse | Female) = P (Horse and Female) / P(Female)

⇒ P (Horse | Female) = (2/40) / (26/40)

⇒ P (Horse | Female) = 2/26

⇒ P (Horse | Female) = 1/13

Therefore, P (Horse | Female) = 1/13

Learn more about probability here:

brainly.com/question/11234923

#SPJ2

Volume = length x width x height

Volume = 1.4 x 1.3 x 3.5 = 6.37 cubic cm

Answer:

120 cm²

Step-by-step explanation:

Volume = length x wight x height

Volume = 6 x 4 x 5

Volume = 120 cm²

Answer:

tysm

Step-by-step explanation:

Answer:

as w → -∞, q(w)→-∞

as w → ∞, q(w)→∞

Step-by-step explanation:

The behaviour tells us how changes y as x changes.

In the left side (as w decreases) we can see that y goes down, then we can see that as w goes to negative infinity, q(w) also goes to negative infinity.

Then we can write:

as w → -∞, q(w)→-∞

In the right side (so when w increases) we can see that q(w) increases, then with the same reasoning as above we have:

as w → ∞, q(w)→∞

Notice that in both cases we only care for the end behavior, and these changes in curvature do not really matter for this kind of analysis.

Answer:

36) C, 790 m²

37) D, 625 in²

Step-by-step explanation:

To find the volume of a rectangular prism, we will multiply the length, width, and height together. The dimensions of the aquarium are 22.9×7.5×4.6. Multiply these together.

22.9 · 7.5 · 4.6 = 790.05

The volume is 790.05 m². This rounds down to 790 m², so the answer is C.

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For the next question, the dimensions aren't given. Instead, we need to calculate them from the sidelengths of the unit cubes. Multiply 2.5 by the number of units on the length, width, and height of the prism. So, the dimensions are 10×12.5×5. Find the product of these dimensions.

10 · 12.5 · 5 = 625

The volume is 625 in². The answer is D.

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I hope this helps ^^ Good luck

Answer:

3 option

Step-by-step explanation:

Answer:

2s

Step-by-step explanation:

Twice means multiplicaiton of 2

So the answer is 2s

Answer:

18x

Step-by-step explanation:

2(3x+6x)

Answer:

Step-by-step explanation:

Answer:

B is the correct answer

Step-by-step explanation:

-4x+ 2 y= 16

Answer:

if you round it to a whole number... it should be 570

Step-by-step explanation:

just round the tenth place

Answer:

hang ups the receiver

Step-by-step explanation:

In this case, there is a difficulty for the call center to determine the average time that each caller spends on each type of request, since there is also the possibility that the recipient will not be interested in the call or hang up when receiving such a call. Therefore, in order to calculate this average in a more real way, the company must statistically monitor this data in relation to each hour of work and how many situations occurred in that hour, how many calls received were answered, how many received a busy signal, how many are not answered and how many calls last less than a minute if the recipient is not interested or hangs up.

Through this data, the company is able to monitor the calls and define telephone service strategies that can retain the customer more if the calls in less than a minute exceed conventional calls.