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11111nata11111 [884]
3 years ago
13

A school club sold 300 shirts. 31% were sold to fifth graders, 52% were sold to sixth graders, and the rest were sold to teacher

s. How many shirts were sold to each group-fifth graders, 6th graders, and teachers? Explain or show your reasoning. Please help I'm late on turning in homework!
Mathematics
2 answers:
Tamiku [17]3 years ago
4 0
300x0.31 = 93 shirts sold to 5th graders
300x0.52 = 156 shirts sold to 6th graders
156+93 = 249 shirts sold to students
300-249 = 51 shirts sold to teachers
Aleks [24]3 years ago
3 0

Answer:

5th graders = 93 people  6th graders = 156  teachers = 51

Step-by-step explanation:

93 5th graders bought shirts, 156 6th graders bought shirts, 51 teachers bought shirts

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Find the quotient of these Complex Numbers. <br><br><br> (5-i) / (3+2i)
JulsSmile [24]

Let the given complex number

z = x + ix = \dfrac{5-i}{3+2i}

We have to find the standard form of complex number.

Solution:

∴ x + iy = \dfrac{5-i}{3+2i}

Rationalising numerator part of complex number, we get

x + iy = \dfrac{5-i}{3+2i}\times \dfrac{3-2i}{3-2i}

⇒ x + iy = \dfrac{(5-i)(3-2i)}{3^2-(2i)^2}

Using the algebraic identity:

(a + b)(a - b) = a^{2} - b^{2}

⇒ x + iy = \dfrac{15-10i-3i+2i^2}{9-4i^2}

⇒ x + iy = \dfrac{15-13i+2(-1)}{9-4(-1)} [ ∵ i^{2} =-1]

⇒ x + iy = \dfrac{15-2-13i}{9+4}

⇒ x + iy = \dfrac{13-13i}{13}

⇒ x + iy = \dfrac{13(1-i)}{13}

⇒ x + iy = 1 - i

Thus, the given complex number in standard form as "1 - i".

5 0
3 years ago
This is also with the other one sorry I just don't get it:
kicyunya [14]
The first one would be 8 becuase 8 times -8 would be -64. i don’t know the second one but the last one is -82 becuase 8 plus -82 equals -90.
3 0
3 years ago
Read 2 more answers
Write the number for six million fifty thousand.
const2013 [10]

Answer:

6,050,000

Step-by-step explanation:

6 0
2 years ago
Read 2 more answers
Price-club sells a 12-ounce package of spaghetti noodles for $3.44 and Shop Mart sells a 2-pound box of spaghetti noodles for $8
Eva8 [605]

The unit price per ounce at Price club is $0.29 and the unit price per ounce at Shop Mart is $0.26

Step-by-step explanation:

Price of 12 ounce package at Price Club = $3.44

Unit rate per ounce = \frac{Price\ of\ package}{Weight\ of\ package}

Unit rate per ounce = \frac{3.44}{12} = \$0.29

Price of 2 pound box at Shop Mart= $8.35

1 pound = 16 ounce

2 pound = 16*2 = 32 ounces

Unit rate per ounce = \frac{Price\ of\ package}{Weight\ of\ package}

Unit rate per ounce = \frac{8.35}{32} = \$0.26

The unit price per ounce at Price club is $0.29 and the unit price per ounce at Shop Mart is $0.26

Keywords: unit rate, division

Learn more about division at:

  • brainly.com/question/4401748
  • brainly.com/question/4459688

#LearnwithBrainly

5 0
3 years ago
Unoccupied seats on flights cause airlines to lose revenue. Suppose a large airline wants to estimate its average number of unoc
Bingel [31]

Answer:

We need a sample size of at least 719

Step-by-step explanation:

We have that to find our \alpha level, that is the subtraction of 1 by the confidence interval divided by 2. So:

\alpha = \frac{1-0.95}{2} = 0.025

Now, we have to find z in the Ztable as such z has a pvalue of 1-\alpha.

So it is z with a pvalue of 1-0.025 = 0.975, so z = 1.96

Now, find the margin of error M as such

M = z*\frac{\sigma}{\sqrt{n}}

In which \sigma is the standard deviation of the population and n is the size of the sample.

How large a sample size is required to vary population mean within 0.30 seat of the sample mean with 95% confidence interval?

This is at least n, in which n is found when M = 0.3, \sigma = 4.103. So

M = z*\frac{\sigma}{\sqrt{n}}

0.3 = 1.96*\frac{4.103}{\sqrt{n}}

0.3\sqrt{n} = 1.96*4.103

\sqrt{n} = \frac{1.96*4.103}{0.3}

(\sqrt{n})^{2} = (\frac{1.96*4.103}{0.3})^{2}

n = 718.57

Rouding up

We need a sample size of at least 719

6 0
3 years ago
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