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3 years ago

What is the area of BCD?

Mathematics

1 answer:

lbvjy [14]3 years ago

4 0

Answer:

Step-by-step explanation:

The length is 12, and the height is 6

A = 1/2 * b*h

So area = 1/2 * 72 = 36

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What is the mode of the data set? 1, 1, 2, 1, 3, 2, 2, and 3

slavikrds [6]

maybe: Mean

2.22

Median =

Mode =

and

Explanation:

Mean:

2.22

Median: First we put the numbers in order from lowest to highest:

The median is the number that has the central position.

Median

Mode: it is the number that appears the most times. In this case, both

and

appear the same number of times, so they are both modes.

hope this helps!

8 0

3 years ago

Read 2 more answers

Adecco Workplace Insights Survey sampled men and women workers and asked if they expected to get a raise or promotion this year

Mumz [18]

Answer:

Yes

Step-by-step explanation:

Let p1 represent proportion of women and p2 proportion of men. The null and alternative hypothesis will be as follows

Null hypothesis

$H_o$ =p2-p1 ≤0

Alternative hypothesis

$H_a$ =p2-p1>0

Sample proportion of women, p1=74/200=0.37

Sample proportion of men is p2=104/200=0.52

Level of significance is 0.01

Pooled proportion= $\frac {104+74}{200+200}=0.445$

Test statistic

$z=\frac {(0.52-0.37)-0}{0.445(1-0.445)*\sqrt{(1/200+1/200)}}=6.9124$

p-value=P(Z≥z)=P(Z≥6.9124)=P(Z≤-6.9124)=0

Since the value of p is less than 0.01, we reject null hypothesis. There’s sufficient evidence that a greater proportion of men is expecting to get a raise

6 0

4 years ago

824 =20+?+4 how do you work this out

Y_Kistochka [10]

The answer is 800
20+4=24
824-24=800
800+20+4=824

7 0

4 years ago

Read 2 more answers

Slow and steady wins the race. The leather back sea turtle is the fastest known reptile, with a maximum speed of 21.9221.9221, p

Slav-nsk [51]

Answer:

A and B

Step-by-step explanation:

7 0

4 years ago

Find all pairs of real numbers $(x,y)$ such that $x + y = 6$ and $x^2 + y^2 = 28$. if you find more than one pair, then list you

vivado [14]

1. $x^2+y^2=28$ and x+y=6

2. x^2+y^2 and x+y remind us of the formula: $(x+y)^{2}= x^2+y^2+2xy$

substituting we get:

$6^{2}= 28+2xy$

2xy=36-28
xy=8/2=4

3 Let's solve the system of equations i)x+y=6 and ii)xy=4

substitute y=4/x in (i):

$x+ \frac{4}{x} =6$

multiply all sides by x:

$x^{2} +4=6x$

$x^{2} -6x+4=0$

complete the square:

$x^{2} -6x+4=x^{2} -2*3x+9-9+4= (x-3)^{2}-5=0$

$x-3=\sqrt{5}$ or $x-3=-\sqrt{5}$

$x=3+\sqrt{5}$ or $x=3-\sqrt{5}$

so from x+y=6, y=6-x

case 1, $x=3+\sqrt{5}$ gives $y=3-\sqrt{5}$

case 2, $x=3-\sqrt{5}$ gives $y=3+\sqrt{5}$

Answer:

$(3-\sqrt{5}, 3+\sqrt{5})$ , $(3+\sqrt{5}, 3-\sqrt{5})$

3 0

3 years ago