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hram777 [196]
3 years ago
12

Can someone please help me out with these 2 problem thanks

Mathematics
1 answer:
igor_vitrenko [27]3 years ago
3 0
3 \sqrt{-8}  + 4 \sqrt{-50}
= 3i \sqrt{8}  + 4i \sqrt{50}
= 3i \sqrt{4 \times 2}  + 4i \sqrt{25 \times 2}
= 6i \sqrt{2}  + 20i \sqrt{2}
= 26i \sqrt{2}

I think part of the second question is cut off so I can't help but I hope I have helped with the first one.
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Arlen receives of $590 per week plus a 5% commission on all sales over
Vladimir79 [104]

Answer:

$651.50

Step-by-step explanation:

Anything OVER 650 is paid in commissions.

Since total sales was 1880, the amount paid in commissions is:

1880 - 650 = $1230

Arlen will get 5% of 1230, that is:

5/100 = 0.05

0.05 * 1230 = $61.5

Weekly Pay = 590

Commissions = 61.5

Total Pay = 590 + 61.5 = $651.50

Last option is right.

6 0
3 years ago
When Maria started her career at the age of 24, she deposited $800 into a savings account that earns 8.75% interest compounded s
Dominik [7]

Answer: Answer is b

Step-by-step explanation:

4 0
2 years ago
A travel company is selling two different suitcases, each in the shape of a rectangular prism. Which statement is true?
9966 [12]

Answer:

Suitcase 2 is the better deal because it is less expensive than Suitcase 1 by approximately $0.01 per cubic inch ⇒ C

Step-by-step explanation:

Let us find the volume of each suitcase and find the price per cubic inch to chose the better deal

The formula of the volume of a rectangular prism is V = L × W × H, where

  • L is the length of it
  • W is the width of it
  • H is the height of it

Suitcase 1:

∵ Its length is 14 inches

∵ Its width is 9 inches

∵ Its height is 22 inches

- Substitute them in the formula of the volume above

∵ V = 14 × 9 × 22

∴ V = 2772 inches³

∵ The cost of it is $139.99

- Divide the cost by the volume to find the cost per cubic inch

∵ The cost per cubic inch = 139.99 ÷ 2772

∴ The cost per cubic inch ≅ 0.05

∴ The cost per cubic inch is approximately $0.05

Suitcase 2:

∵ Its length is 18 inches

∵ Its width is 10 inches

∵ Its height is 22 inches

- Substitute them in the formula of the volume above

∵ V = 18 × 10 × 22

∴ V = 3960 inches³

∵ The cost of it is $158.99

- Divide the cost by the volume to find the cost per cubic inch

∵ The cost per cubic inch = 158.99 ÷ 3960

∴ The cost per cubic inch ≅ 0.04

∴ The cost per cubic inch is approximately $0.04

∵ 0.04 is less than 0.05

∵ 0.05 - 0.04 = 0.01

∴ Suitcase 2 is less expensive than suitcase 1 by $0.01

∴ Suitcase 2 is the better deal

Suitcase 2 is the better deal because it is less expensive than Suitcase 1 by approximately $0.01 per cubic inch

6 0
3 years ago
Question Help Scores of an IQ test have a​ bell-shaped distribution with a mean of 100100 and a standard deviation of 1010. Use
3241004551 [841]

Answer:

a) 95% percentage of people has an IQ score between 80 and 120.

b) 68% percentage of people has an IQ score between 90 and 110.    

c) 2.5% percentage of people has an IQ score greater than 120.          

Step-by-step explanation:

The empirical formula states that:

  • The empirical rule is known as the three-sigma rule or 68-95-99.7 rule.
  • It is a rule which states that for a normal distribution, almost all data falls within three standard deviations of the mean.
  • 68% of data falls within the first standard deviation that is \mu \pm \sigma
  • 95% of data falls within the second standard deviation that is \mu \pm 2\sigma
  • 99.7% of data falls within the third standard deviation that is \mu \pm 3\sigma

a)  percentage of people has an IQ score between 80 and 120

(80, 120) can be written as:

(80, 120) = (100-2(10), 100 + 2(10))\\= (\mu \pm 2\sigma)

Thus, it is the interval within two standard deviation from the mean.

Thus, by empirical formula, 95% percentage of people has an IQ score between 80 and 120.

b) percentage of people has an IQ score between 90 and 110

(90, 110) can be written as:

(90, 110) = (100-1(10), 100 + 1(10))\\= (\mu \pm 1\sigma)

Thus, it is the interval within one standard deviation from the mean.

Thus, by empirical formula, 68% percentage of people has an IQ score between 90 and 110.

c) P(score greater than 120)

= 1 - percentage of score less than 80 - percentage of score between 80 and 120

= 1 - (95\% + 2.5\%) = 2.5\%

From empirical formula,

2.5% percentage of people has an IQ score greater than 120.

6 0
2 years ago
5. Determine the value of every variable in the rhombus below.
Zina [86]

Answer:

m = 160

p = 90

w = 10

z = 80

y = 10

Step-by-step explanation:

7 0
2 years ago
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