All categories

3 years ago

Based on the data set shown, which of the following is a true statement?

Mathematics

2 answers:

nata0808 [166]3 years ago

8 0

Answer: A.) mean = mode

Step-by-step explanation:

The given data : -1, -1, 0, 1, 1, 1, 1, 2, 2, 2, 3

Number of terms = 11

$\text{Mean=}\dfrac{\text{Sum of all observations}}{\text{Number of observations}}\\\\\Rightarrow\ \text{Mean=}\dfrac{11}{11}=1\\\\\Rightarrow\ \text{Mean=}1$

Since the data is already arranged in order.

Median = Middle-most value=1

Hence, Mean=Median

Mode = Most repeated observation=1

i.e. Mean=Median=Mode

Ilya [14]3 years ago

7 0

Mean: 1
Mode; 1
Media: 1

Your answer is A.

You might be interested in

The function a(t)=t^(1/2)−t^(−1/2) m/s^2 represents the acceleration of a particle moving along a horizontal axis. At time t=0,

garri49 [273]

Answer:

see below

Step-by-step explanation:

a(t)=t^(1/2)−t^(−1/2)

We integrate to find the velocity

v(t) = integral t^(1/2)−t^(−1/2) dt

= t ^ (1/2 +1) t ^ (-1/2 +1)

------------ - ----------------- + c where c is the constant of integration

3/2 1/2

v(t) = 2/3 t^ 3/2 - 2 t^ 1/2 +c

We find c by letting t=0 since we know the velocity is 4/3 when t=0

v(0) = 2/3 0^ 3/2 - 2 0^ 1/2 +c = 4/3

0+c =4/3

c = 4/3

v(t) = 2/3 t^ 3/2 - 2 t^ 1/2 +4/3

To find the position function we need to integrate the velocity

p(t) = integral 2/3 t^ 3/2 - 2 t^ 1/2 +4/3 dt

2/3 t ^ (3/2 +1) 2 t ^ (1/2 +1) 4/3t

------------ - ----------------- + ------------- + c

5/2 3/2 1

p(t) = 4/15 t^ 5/2 - 4/3t ^ 3/2 + 4/3t +c

We find c by letting t=0 since we know the position is -4/15 when t=0

p(0) = 4/15 0^ 5/2 - 4/3 0 ^ 3/2 + 4/3*0 +c = -4/15

0 +c = -4/15

c = -4/15

p(t) = 4/15 t^ 5/2 - 4/3t ^ 3/2 + 4/3t -4/15

8 0

3 years ago

Read 2 more answers

Most US adults have social ties with a large number of people, including friends, family, co-workers, and other acquaintances. I

xxTIMURxx [149]

Answer:

$t=\frac{669-634}{\frac{732}{\sqrt{1700}}}=1.971$

$p_v =2*P(t_{(1699)}>1.971)=0.049$

If we compare the p value and the significance level given $\alpha=0.1$ we see that $p_v$ so we can conclude that we have enough evidence to reject the null hypothesis, so we can conclude that the true mean is different from 634 at 10% of signficance.

Step-by-step explanation:

Data given and notation

$\bar X=669$ represent the sample mean

$s=732$ represent the sample standard deviation

$n=1700$ sample size

$\mu_o =68$ represent the value that we want to test

$\alpha=0.$ represent the significance level for the hypothesis test.

t would represent the statistic (variable of interest)

$p_v$ represent the p value for the test (variable of interest)

State the null and alternative hypotheses.

We need to conduct a hypothesis in order to check if the mean is different from 634, the system of hypothesis would be:

Null hypothesis: $\mu = 634$

Alternative hypothesis: $\mu \neq 634$

If we analyze the size for the sample is > 30 but we don't know the population deviation so is better apply a t test to compare the actual mean to the reference value, and the statistic is given by:

$t=\frac{\bar X-\mu_o}{\frac{s}{\sqrt{n}}}$ (1)

t-test: "Is used to compare group means. Is one of the most common tests and is used to determine if the mean is (higher, less or not equal) to an specified value".

Calculate the statistic

We can replace in formula (1) the info given like this:

$t=\frac{669-634}{\frac{732}{\sqrt{1700}}}=1.971$

P-value

The first step is calculate the degrees of freedom, on this case:

$df=n-1=1700-1=1699$

Since is a two sided test the p value would be:

$p_v =2*P(t_{(1699)}>1.971)=0.049$

Conclusion

3 0

3 years ago

If tim spends 1/3 each weekday sleeping and about 7/24 each weekday in school what fraction of a weekday does Tim spend either s

Ganezh [65]

Tim spends 1/3 each weekday sleeping and 7/24 in school. We can write 1/3 as 8/24 so we have a common denominator. Now we can see that Tim sleeps for 1/24 time of a weekday more then he spends in school.

I hope that's what you meant.

3 0

3 years ago

6. 5x – 2y = 17 2x + 3y = 3 How do i do elimination on this problem.

kolbaska11 [484]

Answer:

Add the equations in order to solve the first variable. Plug this value into the other equation in order to solve the remaining variables.

The point form is (3,-1)

The equation form is x = 3, y = -1

Hope this helps!

PLEASE, consideer brainliest. I only have 3 left and then my rank will go up.

3 0

3 years ago

Tonka weighs 150 lb. He is loading a freight elevator with identical 67-pound boxes. The elevator can carry no more than 2000 lb

tia_tia [17]

all

150+67=217 woohoo it's 217 not 2000 sooo him and all boxes

7 0

3 years ago