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3 years ago

20.

Mathematics

1 answer:

Tresset [83]3 years ago

6 0

Answer:

<u>simplified</u><u> </u><u>using</u><u> </u><u>Foil</u>

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Marketing companies are interested in knowing the population percent of women who make the majority of household purchasing deci

zimovet [89]

Answer: 271

Step-by-step explanation:

As per given description in the question, we have

Critical value for 90% confidence interval = $z_{\alpha/2}=1.645$

[using z-value calculator ]

Margin of error : E= 0.05

Since prior estimate of population proportion is unknown so we take p= 0.5

Formula we use to find the sample size :

$n=p(1-p)(\dfrac{z_{\alpha/2}}{E})^2$ [we assume p= 0.50]

i.e. $n=0.5(1-0.5)(\dfrac{1.645}{0.05})^2$

Simplify :

$\Rightarrow\ n=270.6025\approx271$

Therefore , the minimum sample size required = 271

3 0

3 years ago

Suppose Aji and sunshine have to pay $11 in royalties for each Beatles song and $7 for each Donovan song. How many of each type

andrey2020 [161]

To minimize their royal costs to $200, the number of Donovan songs to include is <u>15</u> and the number of Beatles songs to include is <u>5</u>.

<h3>What are ratios?</h3>

Ratios are numerical relationships between variables that show how much each variable is contained in another.

Ratios are stated in fractions, percentages, or decimals.

<h3>Data and Calculations:</h3>

Total songs to include in the song = 20

The ratio of Donovan and Beatles = 5:1.5

The number of Donovan songs to include = 15 (20/6.5 x 5)

The number of Beatles songs to include = 5 (20/6.5 x 1.5)

Royalty cost per Donovan song = $11

Royalty cost per Beatles song = $7

Total royalty costs for Donovan and Beatles song = $200 ($11 x 15 + $7 x 5)

Thus, the number of Donovan songs to include is <u>15</u> and the number of Beatles songs to include is <u>5</u>.

Learn more about ratios at brainly.com/question/2914376

#SPJ1

<h3>Question Completion:</h3>

Aji and Sunshine want to make a CD of songs from the 1960s to donate to their school library to be broadcast during school picnics. Sunshine's parents were big fans of the 60s singer Donovan, and they named her after his song "Sunshine Superman." Aji's folks were devotees of the Beatles. Aji and Sunshine want their CD to consist entirely of songs by Donovan and the Beatles. Because Sunshine is named after a Donovan song, she wants to include at least as many Donovan songs as Beatles songs. Aji agrees. In return, Sunshine agrees to include at least five Beatles songs. 5 1.5 To provide enough variety to make the mix interesting, they decide to include at least 20 songs altogether.

3 0

2 years ago

What is 2/3 divided by 5/6

Serjik [45]

4/5. 2/3 divided by 5/6 is equivalent to 2/3 multiplied by 6/5, so the answer is 4/5.

6 0

3 years ago

Find a. Round to the nearest tenth.

Kazeer [188]

9514 1404 393

Answer:

21.8 cm

Step-by-step explanation:

A useful way to write the Law of Sines relation when solving for side lengths is ...

a/sin(A) = b/sin(B)

Then the solution for 'a' is found by multiplying by sin(A):

a = sin(A)(b/sin(B)) = b·sin(A)/sin(B)

We need to know the angle A. Its value is ...

A = 180° -75° -31.8° = 73.2°

Then the desired length is ...

a = (22 cm)sin(73.2°)/sin(75°) ≈ (22 cm)(0.9573/0.9659)

a ≈ 21.8 cm

_____

I like to use the longest side and largest angle in the equation when those are available. That is why I chose 75° and 22 cm.

6 0

3 years ago

Here is a histogram that shows the number of points scored by a college basketball player during the 2008 season. Describe the s

natima [27]

The shape of the histogram is positively skewed and the mean of the histogram is greater than the median

<h3>How to interpret the histogram?</h3>

From the complete question (see attachment for histogram), we have the following observations:

The bars at the left have greater heights than the bars at the right
The bars are of equal widths

The first highlight above means that the shape of the histogram is positively skewed.

This also means that the mean of the histogram is greater than the median