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Mandarinka [93]

3 years ago

15

The students at Woodward elementary voted for school mascot. The falcon won with 5/8 of the votes. If 536 students voted for a m

ascot, how many students voted for the falcon?

1 answer:

drek231 [11]3 years ago

3 0

The answer equals 335

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A student council consists of 15 students. Two council members have the same major and are not permitted to serve together on a

tiny-mole [99]

Answer: 4004ways

Step-by-step explanation:

Total number of Students =15

Total number of students to be on the committee =5

Since two members are of the same major and must not be on the committee, then we are left with choosing 5 people from just 14 People after we eventually remove one from those two students with same majors.

Hence to select 5 people from 14 people, we use the combination formula 14C5.

From the two students with same major we also use the combination Formula in knowing the number of ways any of the two students can be chosen. To choose one from these two students, we use the combination Formula 2C1.

Hence, the total number of ways to choose the committee of 5 and ensuring the two students with same major aren't on the committee becomes:

= 14C5 * 2C1

= 2002 * 2

= 4004ways.

3 0

3 years ago

using data from 2010 and projected to 2020, the population of the United Kingdom (y, in millions) can be approximated by the equ

natita [175]

Answer:

The projected population in 2026 is of 699.3 million.

Step-by-step explanation:

Population:

The population, in x years after 2000, is given by the follwing equation:

$y - 4.55x = 581$

That is:

$y(x) = 4.55x + 581$

What is projected population in 2026?

2026 - 2000 = 26, so this is y(26).

$y(26) = 4.55(26) + 581 = 699.3$

The projected population in 2026 is of 699.3 million.

5 0

3 years ago

You have just used the network planning model and found the critical path length is 30 days and the variance of the critical pat

joja [24]

Answer:

0.726 is the probability that the project will be completed in 33 days or less.

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 30 days

Variance = 25 days

Standard Deviation,

$\sigma = \sqrt{\text{Variance}} = \sqrt{25} = 5$

We assume that the distribution of path length is a bell shaped distribution that is a normal distribution.

Formula:

$z_{score} = \displaystyle\frac{x-\mu}{\sigma}$

P(completed in 33 days or less)

$P( x \leq 33) = P( z \leq \displaystyle\frac{33 - 30}{5}) = P(z \leq 0.6)$

Calculation the value from standard normal z table, we have,

$P(x \leq 33) = 0.726 = 72.6\%$

0.726 is the probability that the project will be completed in 33 days or less.

8 0

3 years ago

Subtract and simplify. Show work please!

ra1l [238]

1) Final expression: $+7y^2-6y-17$

2) Final expression: $21x^3-46x^2+59x-30$

Step-by-step explanation:

1)

The first expression is

$(-2y^2-11y-7)-(-9y^2-5y+10)$

First, we remove the 2nd bracket by changing the sign of all the terms inside:

$-2y^2-11y-7-+9y^2+5y-10$

Now we group the terms with same degree together:

$(-2y^2+9y^2)+(-11y+5y)+(-7-10)$

Now we solve the expression in each brackets:

$(-2y^2+9y^2)+(-11y+5y)+(-7-10)=\\+7y^2-6y-17$

So, this is the final expression.

2)

The second expression is

$(7x-6)(3x^2-4x+5)$

We apply the distributive property, so we rewrite the expression as follows:

$(7x-6)(3x^2-4x+5)=7x(3x^2-4x+5)-6(3x^2-4x+5)$

Solving both brackets,

$7x(3x^2-4x+5)-6(3x^2-4x+5)=\\21x^3-28x^2+35x-18x^2+24x-30$

Now we group terms of same degree together:

$21x^3-28x^2+35x-18x^2+24x-30=\\21x^3+(-28x^2-18x^2)+(35x+24x)-30$

And solving each bracket,

$21x^3+(-28x^2-18x^2)+(35x+24x)-30=\\21x^3-46x^2+59x-30$

So, this is the final expression.

Learn how to simplify expressions:

brainly.com/question/7014769

brainly.com/question/11007572

brainly.com/question/11334714

#LearnwithBrainly

3 0

3 years ago

What is the approximate length of AB? <br><br>

liq [111]

Answer:

2

Step-by-step explanation:

1. go to desmos Graphing calculator and select graphing calculator

2. Next type in the word length then it should look like this Length

3. Don't space just put this ( and type in the point it should look like this Length(-2,-3),(4,4)

4. Be sure to do double () it should look like this Length((-2,-3),(4,4))

5. It should give you your answer

6 0

2 years ago