Please answer this question, 40 points and brainliest!

Drag each number to the correct location on the image. Each number can be used more than once, but not all numbers will be used.

abruzzese [7]

Answer:

5 3

6 4

4 2

Step-by-step explanation:

6 0

3 years ago

A survey of 76 commercial airline flights of under 2 hours resulted in a sample average late time for a flight of 2.55 minutes.

nika2105 [10]

Answer:

The best point of estimate for the true mean is:

$\hat \mu = \bar X = 2.55$

$2.55-1.96\frac{12}{\sqrt{76}}=-0.148$

$2.55+1.96\frac{12}{\sqrt{76}}=5.248$

Since the time can't be negative a good approximation for the confidence interval would be (0,5.248) minutes. The interval are tellling to us that at 95% of confidence the average late time is lower than 5.248 minutes.

Step-by-step explanation:

Information given

$\bar X=2.55$ represent the sample mean for the late time for a flight

$\mu$ population mean

$\sigma=12$ represent the population deviation

n=76 represent the sample size

Confidence interval

The best point of estimate for the true mean is:

$\hat \mu = \bar X = 2.55$

The confidence interval for the true mean is given by:

$\bar X \pm z_{\alpha/2}\frac{\sigma}{\sqrt{n}}$ (1)

The Confidence level given is 0.95 or 95%, th significance would be $\alpha=0.05$ and $\alpha/2 =0.025$ . If we look in the normal distribution a quantile that accumulates 0.025 of the area on each tail we got $z_{\alpha/2}=1.96$

Replacing we got:

$2.55-1.96\frac{12}{\sqrt{76}}=-0.148$

$2.55+1.96\frac{12}{\sqrt{76}}=5.248$

Since the time can't be negative a good approximation for the confidence interval would be (0,5.248) minutes. The interval are tellling to us that at 95% of confidence the average late time is lower than 5.248 minutes.

7 0

3 years ago

A park in the shape of quadrilateral PQRS is bordered by four sidewalks. Find the measure of each

kykrilka [37]

Answer:

135°, 63°, 63°, 99°

Step-by-step explanation:

Find attached the diagram used in solving the question.

We would use formula for sum of interior angles to get each exterior angle.

From the diagram, we added additional variables to be able to solve for sum of interior angles.

Sum of angle on a straight line = 180°

a° +15z° = 180°

b° +7z° = 180°

c° +7z° = 180°

d° +11z° = 180°

Where a,b,c and d are interior angles

Sum of interior angles = 180(n-2)

n = number of sides

For quadrilateral, n= 4

a°+b°+c°+d° = 180(n-2)

180-15z +180-7z+180-7z+180-11z = 180(4-2)

720-40z = 180(2)

720 - 360 = 40z

z = 360/40

z = 9

Each exterior angle:

15z = 15×9 = 135°

7z = 7×9 = 63°

11z = 11×9 = 99°

8 0

3 years ago

Adam is 2 years older than mike. the square of adam's age is 28 greater than the square of mike's age in years. what is the sum

swat32

Let Mike be m and Adam be m+2. Then:
m²+28=(m+2)²
m²+28=m²+4m+4
4m=24
m=6
Mike is 6; Adam is 8
☺☺☺☺

7 0

4 years ago

Read 2 more answers

A flying saucer crashes in a Nebraska cornfield. The FBI investigates the wreckage and finds an engineering manual containing an

anyanavicka [17]

Answer:

6 fingers

Step-by-step explanation:

Let X = the base of the numbers above

If X > 0

Then we have:

325 = 3 * X² + 2 * X¹ + 5 * X°

325 = 3X² + 2X + 5

42 = 4*X¹ + 2*X°

42 = 4X+ 2

And

411 = 4*X²+ 1*X¹ 1*X°

42 = 4X² + X + 1

Since 325 + 42= 11 then

3X² + 2X + 5 + 4X+ 2 = 4X² + X + 1 ------ Collect Like Terms

3X² - 4X² + 2X + 4X - X + 5 + 2 - 1 = 0

-X² + 5X + 6 = 0 ------- Multiply both sides by -1

X² - 5X - 6 = 0 ------- Factorise the Equation

X² - 6X + X - 6 = 0

X(X - 6) + 1( X - 6) = 0

(X + 1)(X - 6) = 0

X + 1 = 0 or X - 6 = 0

X = -1 or X = 6

But X>0

So, X =-1 is invalid

X = 6

The expected number of fingers of the Martian is 6

6 0

4 years ago