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Anestetic [448]
3 years ago
11

A square has the same area as a rectangle whose

Mathematics
1 answer:
amid [387]3 years ago
6 0

Answer:

C) 32 * 2**1/2

Step-by-step explanation:

For rectangle P = L + W = 24 but L = 2W so

2W + W = 24

3W = 24

W = 8 and L = 2W = 16

A = L * W = 16 * 8 = 128

SO for the square with the same area

A = L * L = 128

L**2 = 128

L = 8 * 2**1/2

P = 4L = 32 * 2**1/2

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What is the value of the expression?
morpeh [17]

Answer:

B) 0.2

Step-by-step explanation:

1/4 as a decimal 0.25

0.25 x 0.8 = 0.2!

c:

6 0
3 years ago
Read 2 more answers
2 1/9 - 7/6 must show work
LuckyWell [14K]
2 1/9 as improper fraction= 19/9

19/9(4/4)=76/36

7/6(6/6)= 42/36

76/36-42/36=34/36

34/36=17/18

The answer is 17/18.

Hope this helps!
5 0
3 years ago
Greatest common factor of 76 and 675
babymother [125]
The greatest common factor of 76 and 675 is 1
5 0
3 years ago
A city has cone shaped buildings for storing salt and sand for icy roads. Each building has a radius of 50 feet and a height of
aalyn [17]

Answer:

  • Radius=50 ft
  • π=3.14
  • Height=30 ft
  • Volume=?

We know that,

\star \:  \:  \purple{Volume_{(cone)} =\pi {r}^{2}   \frac{h}{3} }

\star \:  \:  \purple{Volume_{(cone)} =3.14 \times  {(50)}^{2}  \times   \: \cancel\frac{30}{3}  \:   }

\star \:  \:   \purple{Volume_{(cone)} = 3.14 \times (50 \times 50) \times 10}

\star \:  \:  \purple{Volume_{(cone)} =3.14 \times 2500 \times 10 }

\star \:  \:  \purple{Volume_{(cone)} =78500 }

Thus,the third option is correct.

\star \: \: {\blue{DisneyPrincess29}}

6 0
3 years ago
The Ishares Bond Index fund (TLT) has a mean and annual standard deviation of returns of 5%
rodikova [14]

Answer:

C) (-5%.15%)

Step-by-step explanation:

1) Previous concepts

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

The margin of error is the range of values below and above the sample statistic in a confidence interval.

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

\bar X =10\%=0.1 represent the sample mean for the sample  

\mu population mean (variable of interest)

\sigma=5% =0.05 represent the population standard deviation  

2) Confidence interval

We assume that the random variable X who represent The Ishares Bond Index fund (TLT) follows this distribution:

X \sim N(\mu, \sigma=10\%=0.1)

The confidence interval for the returns on TLT is given by the following formula:

\bar X \pm z_{\alpha/2}\sigma   (1)

In order to calculate the critical value z_{\alpha/2}. Since the Confidence is 0.66 or 66%, the value of \alpha=0.34 and \alpha/2 =0.17, and we can use excel, a calculator or a tabel to find the critical value. The excel command would be: "=-NORM.INV(0.17,0,1)".And we see that z_{\alpha/2}=0.95

Now we have everything in order to replace into formula (1):

0.05-0.95(0.1)=-0.05    

0.05+0.95(0.1)=0.15

So on this case the 66% confidence interval would be given by (-0.05;0.15) and we can convert this into % and wr got (-5%; 15%).    

3 0
4 years ago
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