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4 years ago

The Party Factory sells a bouquet of eight

Mathematics

1 answer:

Ierofanga [76]4 years ago

8 0

Answer:

The answer would be $60. This is because is each bouquet of balloons sell for a dollar, then the number of bouquets they sold would be how much they earned. 40 + 20 = 60.

Step-by-step explanation:

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Doing a recent trip to a zoo, The wild life club paid a total of $350 for admission for its members. Adults paid $7.50 each for

Firdavs [7]

Answer:

37 students

Step-by-step explanation:

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3 years ago

The Institute of Management Accountants (IMA) conducted a survey of senior finance professionals to gauge members’ thoughts on g

DochEvi [55]

Answer:

(1) The probability that the sample percentage indicating global warming is having a significant impact on the environment will be between 64% and 69% is 0.3674.

(2) The two population percentages that will contain the sample percentage with probability 90% are 0.57 and 0.73.

(3) The two population percentages that will contain the sample percentage with probability 95% are 0.55 and 0.75.

Step-by-step explanation:

Let X = number of senior professionals who thought that global warming is having a significant impact on the environment.

The random variable X follows a Binomial distribution with parameters n = 100 and p = 0.65.

But the sample selected is too large and the probability of success is close to 0.50.

So a Normal approximation to binomial can be applied to approximate the distribution of p if the following conditions are satisfied:

np ≥ 10
n(1 - p) ≥ 10

Check the conditions as follows:

$np= 100\times 0.65=65>10\\n(1-p)=100\times (1-0.65)=35>10$

Thus, a Normal approximation to binomial can be applied.

So, $\hat p\sim N(p, \frac{p(1-p)}{n})=N(0.65, 0.002275)$ .

(1)

Compute the value of $P(0.64$ as follows:

$P(0.64$

$=P(-0.20$

Thus, the probability that the sample percentage indicating global warming is having a significant impact on the environment will be between 64% and 69% is 0.3674.

(2)

Let $p_{1}$ and $p_{2}$ be the two population percentages that will contain the sample percentage with probability 90%.

That is,

$P(p_{1}$

Then,

$P(p_{1}$

$P(\frac{p_{1}-p}{\sqrt{\frac{p(1-p)}{n}}}$

$P(-z$

The value of z for P (Z < z) = 0.95 is

z = 1.65.

Compute the value of $p_{1}$ and $p_{2}$ as follows:

$-z=\frac{p_{1}-p}{\sqrt{\frac{p(1-p)}{n}}}\\-1.65=\frac{p_{1}-0.65}{\sqrt{\frac{0.65(1-0.65)}{100}}}\\p_{1}=0.65-(1.65\times 0.05)\\p_{1}=0.5675\\p_{1}\approx0.57$ $z=\frac{p_{2}-p}{\sqrt{\frac{p(1-p)}{n}}}\\1.65=\frac{p_{2}-0.65}{\sqrt{\frac{0.65(1-0.65)}{100}}}\\p_{2}=0.65+(1.65\times 0.05)\\p_{1}=0.7325\\p_{1}\approx0.73$

Thus, the two population percentages that will contain the sample percentage with probability 90% are 0.57 and 0.73.

(3)

Let $p_{1}$ and $p_{2}$ be the two population percentages that will contain the sample percentage with probability 95%.

That is,

$P(p_{1}$

Then,

$P(p_{1}$

$P(\frac{p_{1}-p}{\sqrt{\frac{p(1-p)}{n}}}$

$P(-z$

The value of z for P (Z < z) = 0.975 is

z = 1.96.

Compute the value of $p_{1}$ and $p_{2}$ as follows:

$-z=\frac{p_{1}-p}{\sqrt{\frac{p(1-p)}{n}}}\\-1.96=\frac{p_{1}-0.65}{\sqrt{\frac{0.65(1-0.65)}{100}}}\\p_{1}=0.65-(1.96\times 0.05)\\p_{1}=0.552\\p_{1}\approx0.55$ $z=\frac{p_{2}-p}{\sqrt{\frac{p(1-p)}{n}}}\\1.96=\frac{p_{2}-0.65}{\sqrt{\frac{0.65(1-0.65)}{100}}}\\p_{2}=0.65+(1.96\times 0.05)\\p_{1}=0.748\\p_{1}\approx0.75$

Thus, the two population percentages that will contain the sample percentage with probability 95% are 0.55 and 0.75.

7 0

4 years ago

F(x) = 3x² - 2x g(x) = x + 4 When finding f(x) · g(x), what could the first step look like?

Vlad1618 [11]

Answer: look at the picture

Step-by-step explanation: Hope this help :D

6 0

3 years ago

I need help ~~~~~ Hggffv

elena-14-01-66 [18.8K]

For a question like this, order of operations must be followed. This can be expressed with PEMDAS.

P arenthesis
E xponents
M ultiplication
D ivision
A ddition
S ubtraction

8^2 ÷ 4 + 3.7(42.3-24.6) -------> Parenthesis first
8^2 ÷ 4 + 3.7(17.7) ------> Now exponents
64 ÷ 4 + 3.7(17.7) ------> Now multiplication and division
16 + 65.49 --------> And finally addition
81.49 which is answer choice C
I hope this helps!

8 0

3 years ago

Alan purchased 16 shares of company stock for three 390.49 a month later the total value of his shares 291.20 what is the curren

Stella [2.4K]

Answer:

$18.20

Step-by-step explanation:

1- Alan initially purchased his company stock, the price per share was $24.40 ($390.40/16).

2- Being that the stock has fallen, the stock price is now $18.20 ($291.20/16).

6 0

3 years ago