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scZoUnD [109]
4 years ago
12

Please help me ASAP!!!

Mathematics
1 answer:
vlada-n [284]4 years ago
4 0

Answer:

a) 6 1/4% of $3,875 is $242.18.

b) 16 2/3% of 96 lamps is 16 lamps.

c) 87 1/2% of 540.72 is 473.11

d) 33 1/3% of 750 boys is 252.52 boys

e) 66 1/2 % of 240 kg is 159.6 kg.

Step-by-step explanation:

x% of y is calculated as \frac{x}{ 100} \times y

Here calculating the given percentages:

a) 6 1/4% of $3,875

Now, 6 1/4 = 6+ 1/4 = 6.25

⇒6.25% of $3,875  = \frac{6.25}{100}  \times 3,875 = 242.18

Hence, 6 1/4% of $3,875 is $242.18.

b) 16 2/3% of 96 lamps

Now, 16 2/3 = 16+ 2/3 = 16.67

⇒16.67% of 96 lamps  = \frac{16.67}{100}  \times 96 = 16

Hence, 16 2/3% of 96 lamps is 16 lamps.

c) 87 1/2% of 540.72

Now, 87 1/2 = 87+ 1/2 = 87.5

⇒87.5 % of 540.72  = \frac{87.5}{100}  \times 540.72 = 473.11

Hence, 87 1/2% of 540.72 is 473.11

d) 33 1/3% of 750 boys

Now, 33 1/3 = 33+ 1/3 = 33.67

⇒33.67 % of 750 boys   = \frac{33.67}{100}  \times 750 = 252.52

Hence, 33 1/3% of 750 boys is 252.52 boys

e) 66 1/2 % of 240 kg

Now, 66 1/2 = 66+ 1/2 = 66.50

⇒66 1/2 % of 240 kg   = \frac{66.50}{100}  \times 240 kg = 159.6

Hence, 66 1/2 % of 240 kg is 159.6 kg.

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Yuki888 [10]

Answer:

99.87% of the store’s total delivery orders will be delivered to consumers with charge

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this problem, we have that:

\mu = 45, \sigma = 5

If a pizza store’s policy is, "Orders delivered within one hour or they’re free!", what percentage of the store’s total delivery orders will be delivered to consumers with charge?

Within one hour, which is 60 minutes. So this is the pvalue of Z when X = 60.

Z = \frac{X - \mu}{\sigma}

Z = \frac{60 - 45}{5}

Z = 3

Z = 3 has a pvalue of 0.9987

99.87% of the store’s total delivery orders will be delivered to consumers with charge

5 0
3 years ago
A circle has a radius of \sqrt{13}√ ​13 ​ ​​ square root of, 13, end square root units and is centered at (-9.3,4.1)(−9.3,4.1)le
timofeeve [1]

Answer:  The equation of the circle is

x^2+y^2+18.6x-8.2y+90.3=0.

Step-by-step explanation:  We are given to write the equation of the circle with radius √13 units and center at the point (-9.3, 4.1).

We know that

the standard equation of a circle with radius r units and center at the point (h, k) is given by

(x-h)^2+(y-k)^2=r^2.

In the given circle,

radius, r = √13 units  and  center, (h, k) = (-9.3, 4.1).

Therefore, the equation of the circle will be

(x-(-9.3))^2+(y-4.1)^2=(\sqrt{13})^2\\\\\Rightarrow (x+9.3)^2+(y-4.1)^2=13\\\\\Rightarrow x^2+18.6y+86.49+y^2-8.2y+16.81=13\\\\\Rightarrow x^2+y^2+18.6x-8.2y+103.3=13\\\\\Rightarrow x^2+y^2+18.6x-8.2y+90.3=0.

Thus, the equation of the circle is

x^2+y^2+18.6x-8.2y+90.3=0.

7 0
3 years ago
The area of a triangular piece of stained glass is 50 square centimeters. If the height (h) of the triangle is four times the ba
lyudmila [28]

Answer:

Height = 20 ; Base = 5

Step-by-step explanation:

Triangle Area = Base x Height x 1/2

50 = 1x × 4x × 1/2

50 = 4x^2 × 1/2

50 = 2x^2

25 = x^2

x=5

Height equals to 4x -> 4 × 5 = 20

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4 0
2 years ago
The quantity x minus 2y, plus 3
jarptica [38.1K]

Answer: (x - 2y) + 3

Step-by-step explanation: The quantity x minus 2y is (x - 2y),   then we add  3.

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Marge bought a computer for $699 on the installment plan. The terms of the plan were a down payment of $100, then payments of $5
mezya [45]

Answer:

$796

Step-by-step explanation:

We have been given that Marge bought a computer for $699 on the installment plan. The terms of the plan were a down payment of $100, then payments of $58 a month for 12 months.

First of all, we will find the amount paid in 12 months by multiplying $58 by 12 as:

\text{Amount paid in 12 months}=\$58\times 12

\text{Amount paid in 12 months}=\$696

Since Marge paid $100 as down payment, so her total cost would be down payment plus amount paid in 12 months.

\text{Marge's total cost}=\$100+\$696

\text{Marge's total cost}=\$796

Therefore, Marge's total cost was $796.

6 0
3 years ago
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