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Ivahew [28]
3 years ago
13

These box plots show daily low temps for a sample of days in two different towns. Witch statement is the most appropriate compar

ison of the centers?

Mathematics
1 answer:
azamat3 years ago
4 0

Answer:

D

Step-by-step explanation:

answers B and D are both true but box plots compare medians more often than means

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In the diagram below segment DEF is shown(since all three letters are shown, they are collinear). If DE=3x+2, EF= x+5, and DF= 2
amm1812

The value of x is 4.

By Geometry, we know that line segment DF = DE + EF, which is equivalent to:

DF = 3\cdot x + 2 + x + 5

DF = 4\cdot x + 7 (1)

Now we solve algebraically the resulting expression.

If we know that DF = 23, then we solve the equation for x:

4\cdot x + 7 = 23

4\cdot x = 16

x = 4

The value of x is 4.

We kindly invite to see this question on line segments: brainly.com/question/23297288

6 0
3 years ago
A toy manufacturer wants to know how many new toys children buy each year. A sample of 305 children was taken to study their pur
Harrizon [31]

Answer:

The 80% confidence interval for the mean number of toys purchased each year is between 7.5 and 7.7 toys.

Step-by-step explanation:

We have that to find our \alpha level, that is the subtraction of 1 by the confidence interval divided by 2. So:

\alpha = \frac{1 - 0.8}{2} = 0.1

Now, we have to find z in the Ztable as such z has a pvalue of 1 - \alpha.

That is z with a pvalue of 1 - 0.1 = 0.9, so Z = 1.28.

Now, find the margin of error M as such

M = z\frac{\sigma}{\sqrt{n}}

In which \sigma is the standard deviation of the population and n is the size of the sample.

M = 1.28\frac{1.5}{\sqrt{305}} = 0.1

The lower end of the interval is the sample mean subtracted by M. So it is 7.6 - 0.1 = 7.5

The upper end of the interval is the sample mean added to M. So it is 7.6 + 0.1 = 7.7

The 80% confidence interval for the mean number of toys purchased each year is between 7.5 and 7.7 toys.

8 0
3 years ago
A. 16
kogti [31]

9514 1404 393

Answer:

  C.  8√3/3

Step-by-step explanation:

It can be useful to remember that the ratio of sides in a 30°-60°-90° triangle are ...

  1 : √3 : 2

That is the short leg is 1/√3 times the length of the longer leg.

 8(1/√3) = 8(√3/3) . . . . . matches choice C

6 0
3 years ago
Identify each matrix A such that A^2 has identical diagonal elements?
Maksim231197 [3]

Answer:

The correct matrices are:

Matrix:

7 1 5

1 5 7

5 7 1

all diagonal elements of A^2 are: 7^2 + 1^2 + 5^2

Matrix:

9   18  27

27 -9  18

18  27 9

all diagonal elements of A^2 are: 9^2 + 27*18 + 18*27   or (-9)^2

Matrix:

8 1 6

6 8 1

1 6 8

all diagonal elements of A^2 are: 8^2 + 6*1 + 1*6

6 0
3 years ago
Evaluate the line integral, where C is the given curve. C sin(x) dx + cos(y) dy, where C consists of the top half of the circle
kenny6666 [7]

Parameterize the circular part of C (call it C_1) by

x=4\cos t

y=4\sin t

wih 0\le t\le\pi, and the linear part (call it C_2) by

x=-4-t

y=4t

with 0\le t\le1.

Then

\displaystyle\int_C\sin x\,\mathrm dx+\cos y\,\mathrm dy=\left\{\int_{C_1}+\int_{C_2}\right\}\sin x\,\mathrm dx+\cos y\,\mathrm dy

=\displaystyle\int_0^\pi(-4\sin t\sin(4\cos t)+4\cos t\cos(4\sin t))\,\mathrm dt+\int_0^1(-\sin(-4-t)+\cos4t)\,\mathrm dt

=0+\displaystyle\int_0^1(\sin(t+4)+\cos4t)\,\mathrm dt

=\cos4-\cos5+\dfrac{\sin4}4

7 0
3 years ago
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