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2 years ago

Ed galaxy perimeter

Mathematics

1 answer:

sp2606 [1]2 years ago

4 0

Answer:

53 mm

Step-by-step explanation:

Perimeter is the sum of the lengths of all its sides.

Let the length of the unknown side be x mm.

123= 25 +45 +x

x= 123 -25 -45

x= 53

Thus, the unknown side is 53 mm.

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Ayesha works as a real estate agent. Her annual gross salary is $28,000. From this, she must pay 20% income tax on anything earn

Lady bird [3.3K]

Answer:

Step-by-step explanation:

Annual gross salary = $28000

Income tax = 20% on anything above $15000

So she's taxable for $5000

Rent loan = $140 per month = $140 * 12= $1680 per annum

Tax deductible per annum = 20% of $5000

20 / 100 * $5000 = $1000

Total amount she takes home per annum =

Gross salary per annum - tax - loan =

($28000 - $1000 - $1680) = $25,320

Ayesha takes home $25,320 home annually.

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4 years ago

In the following problem, check that it is appropriate to use the normal approximation to the binomial. Then use the normal dist

Tcecarenko [31]

Answer:

a. 0.7291

b. 0.9968

c. 0.7259

Step-by-step explanation:

a. np and n(1-p) can be calculated as:

$np=23\times 0.48\\\\=11.04\\\\n(1-p)=23(1-0.52)\\\\=11.96$

#Both np and np(1-p) are greater than 5, hence, normal approximation is most appropriate:

$\mu_x=11.04\\\\\sigma^2=np(1-p)=0.48\times 0.52\times 23=5.7408$

#Define Y:

Y~(11.04,5.7408)

$P(X\leq 12)\approx P(Y\leq 12.5)\\\\P(Z\leq \frac{(12.5-11.04)}{\sqrt{5.7408}})=\\\\=1-0.2709\\\\=0.7291$

Hence, the probability of 12 or fewer is 0.8291

b. The probability that 5 or more fish were caught.

#Using normal approximation:

$P(X \geq 5) \approx P(Y \geq 4.5) = P(Z \geq\frac{ (4.5-11.04)}{\sqrt{(5.7408)}})\\\\=1-0.0032\\\\=0.9968$

Hence, the probability of catching 5+ is 0.9968

c. The probability of between 5 and 12 is calculated as;

-From b above $P(X\geq 5)=0.9968$ and a , $P(X\leq 12)$ =0.7291

$P(5\leq X\leq 120\approx P(4.5\leq Y\leq 12.5)\\\\=0.7291-(1-0.9968)\\\\=0.7259$

Hence, the probability of between 5 and 12 is 0.7259

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3 years ago

There were 200 people at the baseball game. Each of them bought a $8 ticket to get into the game. How much money did the people

irina1246 [14]

8 x 200

= 8 x 2 x 100

= 16 x 100

= 1,600

--------------

Answer:

$1,600

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3 years ago

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Answer:

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Step-by-step explanation:

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Answer:

Step-by-step explanation:

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3 years ago

Ed galaxy perimeter ​

Ed galaxy perimeter