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2 years ago

Tammy decorated her art project with 12 different colors of sequins if she used 15 of each color how many sequins did tammy use

1 answer:

5 0

We are given that:
Tammy used 12 different colors of sequins
Tammy used 15 sequin of each color.

Therefore, to get the total number of sequins that she used, we will multiply the number of colors by the number of sequins of each color as follows:
Total number of sequins = 12*15 = 180 sequins

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The area of a rectangular field is 2275 m2. The field is enclosed by 200 m of fence. What are the dimensions of the field?

AURORKA [14]

So it is enclosed by 200 m of fence
perimiter=200 m
it is a rectangle to
p=legnth+legnth+width+width or
p=l+l+w+w or
p=2l+2w or
p=2(l+w)
so
p=200
200=2(l+w)
divide both sides by 2
100=l+w
area=l times w
area=2275
lw=2275
l+w=100
combine and solve
l+w=100
subtract w
l=100-w
subisutute 100-w for l in other eqution
(100-w)(w)=2275
distribute
-w^2+100w=2275
add (w^2-100w) to both sides
0=w^2-100w+2275
factor
find what 2 numbers add up to -100 and multiply to get 2275
guess (or factor 2275 and find factors that add up to -100)
figure out that they are -65 and -35
0=(w-65)(w-35)
set each to zero
0=w-65
0=w-35

solve for w
w=65 or 35
65>35 so
65 m=legnth
35 m=width

4 0

2 years ago

We will flip a balanced coin 3 times and for each toss, record whether we get a Head or a Tail. Write all possible outcomes of t

VMariaS [17]

Answer:

probability to get exactly 2 heads when flipped a balanced coin 3 times is 3/8 = 0.375 (37.5%)

Step-by-step explanation:

Denoting H as head and T as tails , then in 3 flips there are 2³=8 possible outcomes.

the possible outcomes in 3 flips are

H , H , H

H , H , T

H , T , H

H , T , T

T , H , H

T , H , T

T , T , H

T , T , T

then there are 3 outcomes out of 8 where there are exactly 2 heads ( 2 heads with the tails in the 3 different places possible)

then the probability to get exactly 2 heads when flipped a balanced coin 3 times is 3/8 = 0.375 (37.5%)

4 0

2 years ago

12. If a manufacturer conducted a survey among randomly selected target market households and wanted to be 95% confident that th

atroni [7]

Answer:

$n=\frac{0.5(1-0.5)}{(\frac{0.03}{1.96})^2}=1067.11$

And rounded up we have that n=1068

Step-by-step explanation:

We have the following info given:

$Confidence= 0.95$ the confidence level desired

$ME =0.03$ represent the margin of error desired

The margin of error for the proportion interval is given by this formula:

$ME=z_{\alpha/2}\sqrt{\frac{\hat p (1-\hat p)}{n}}$ (a)

The confidence level is 95% or 0.95, the significance is $\alpha=0.05$ and the critical value for this case using the normal standard distribution would be $z_{\alpha/2}=1.96$

Since we don't have prior information we can use $\hat p= 0.5$ as an unbiased estimator

Also we know that $ME =\pm 0.03$ and we are interested in order to find the value of n, if we solve n from equation (a) we got:

$n=\frac{\hat p (1-\hat p)}{(\frac{ME}{z})^2}$ (b)

And replacing into equation (b) the values from part a we got:

$n=\frac{0.5(1-0.5)}{(\frac{0.03}{1.96})^2}=1067.11$

And rounded up we have that n=1068

6 0

1 year ago

A hot tub pump circulates 4 cubic feet of water per minute. How many cubic inches of water does it circulate each minute?

Dima020 [189]

Answer:

48 Cubic Inches

Step-by-step explanation:

One foot, whether it be squared, cubed, or otherwise changed, will always equal twelve inches to the same power. So, 4 cubic feet is 48 cubic inches because 4*12=48

5 0

1 year ago

2 Points

hichkok12 [17]

Answer: 345.02

Step-by-step explanation:

8 0

1 year ago