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nata0808 [166]
4 years ago
8

The dot plot below shows the number of dogs in neighborhood houses: A dot plot with integers 1 to 5 is shown. It is labeled Dogs

, and titled Dogs in Houses. There are 4 dots above 1, 3 dots above 2, 2 dots above 3, 1 dot above 4, and 1 dot above 5. Which of the following statements best describes the shape of the data? It is symmetric and has a peak at 1. It is symmetric and has a peak at 4. It is not symmetric and has a peak at 1. It is not symmetric and has a peak at 4.

Mathematics
2 answers:
RUDIKE [14]4 years ago
4 0
It is not symmetric because it has a peak at 1 and to be symmetric it has to be the same on both sides of the peak
drek231 [11]4 years ago
3 0

Answer:

The correct statement is:

It is not symmetric and has a peak at 1.

Step-by-step explanation:

We may make a dot plot based on the given information.

The dot plot is attached to the answer.

We may clearly observe that the dot plot is not symmetric since, there is no such point such that the plot to its left and right are equal.

Also,the frequency corresponding to '1' is highest (i.e. there are 4 dots above 1)

Hence, the peak of the dot plot is at '1'.

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in a certain population, 11% of people are left-handed. Suppose that you plan to randomly select 100 people and ask each person
Assoli18 [71]

Answer:

c. A and C

Step-by-step explanation:

The binomial distribution is a "DISCRETE probability distribution that summarizes the probability that a value will take one of two independent values under a given set of parameters. The assumptions for the binomial distribution are that there is only one outcome for each trial, each trial has the same probability of success, and each trial is mutually exclusive, or independent of each other".

Let X the random variable of interest, on this case we now that:

X \sim Binom(n=100, p=0.11)

The probability mass function for the Binomial distribution is given as:

P(X)=(nCx)(p)^x (1-p)^{n-x}

Where (nCx) means combinatory and it's given by this formula:

nCx=\frac{n!}{(n-x)! x!}

We need to check the conditions in order to use the normal approximation.

np=100*0.11=11 > 10 \geq 10

n(1-p)=100*(1-0.11)=99 \geq 10

So we see that we satisfy the conditions and then we can apply the approximation.

If we appply the approximation the new mean and standard deviation are:

E(X)=np=100*0.11=11

\sigma=\sqrt{np(1-p)}=\sqrt{100*0.11(1-0.11)}=3.129

Part A

We want this probability:

P(X \geq 12) = 1-P(X

The z score is defined as

Z=\frac{x-\mu}{\sigma}.

P(X \geq 12) = 1-P(X

Part B

P(X>12) = 1-P(X\leq 12) = 1-P(Z< \frac{12-11}{3.129})=1-0.625=0.375[/tex]

Part C

P(10\leq X \leq 14) = P(X

The z score is defined as

Z=\frac{x-\mu}{\sigma}.

P(10 \leq X \leq 14) =P(Z< \frac{14-11}{3.129}) -P(Z< \frac{10-11}{3.129})=P(Z

So then the best option is : c. A and C

8 0
4 years ago
Madison drew angle DEF In her triangle, angle d is represented as x degrees. The measure of Angle E is half the measure of angle
Olenka [21]
D = x
E = .5x
F = 2x-2

(x)+(.5x)+(2x-2)=180
3.5x-2=180
3.5x=182
x=52

F = 2(52)-2 = 102 degrees
5 0
3 years ago
Read 2 more answers
Please help need answer asp
AleksAgata [21]
I hope this helps you



this triangle equilateral triangle


all interior angles same


all sides same


A+A+A=180


3A=180


A=60 degree same


60-60-60
5 0
3 years ago
Read 2 more answers
5(x + 9) = 5x + 45?<br> What property is this equation?
posledela

Answer:

distributive property

8 0
3 years ago
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Abby is going to ride her bike to her friend's house that lives 6 miles away. She can ride her bike at a rate of 2 miles per hou
Volgvan

Answer:

To travel half a distance Abby requires 1.5 hrs.

Step-by-step explanation:

Given:

Abby is going to ride her bike to her friend's house that lives 6 miles away.

Distance = 6 miles

She can ride her bike at a rate of 2 miles per hour.

Speed = 2 miles per hour

We need to find the time required to ride her bike half of the distance.

Now Distance = \frac{6}{2} =3 \ miles

Now Time required can be calculated by Dividing distance with speed.

Time (hours) = \frac{3}{2}=1.5 \ hrs

Hence To travel half a distance Abby requires 1.5 hrs.

4 0
3 years ago
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