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Genrish500 [490]
3 years ago
6

There are 57 people and i want everyone to have a slice of cake and i want to pay as little as possible and I want them to be th

e same size so I have 20cm of cake that can serve12 people costs 13.50 per cake or 25 cm of cake that I can serve to 20 people costs 18.75 per cake How much will I have to pay for the cakes
Mathematics
1 answer:
julsineya [31]3 years ago
8 0
So,

If you do some simple division, you will find how much each cm costs in each cake.
20cm cake = 67.5 cents/cm
25cm cake = 93.75 cents/cm

Assuming that you cannot order fractions of cakes, the best deal would be to order 5 of the 20cm cakes.
Cost = 13.50 * 5 = $67.50

You will have to pay $67.50 for the cakes if you want the best deal.
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A national survey of companies included a question that asked whether the company had at least one bilingual telephone operator.
nirvana33 [79]

Answer:

The first option is correct. Option A is correct.

LCL = 0.270, and UCL = 0.397

80% Confidence interval = (0.270, 0.397)

Step-by-step explanation:

The data for Y and N for the 90 companies is attached to this solution provided.

Y represents companies with at least 1 bilingual operator and N represents companies with no bilingual operator.

The number of Y in the data = 30

Hence, sample proportion of companies with at least one bilingual operator = (30/90) = 0.3333

Confidence Interval for the population proportion is basically an interval of range of values where the true population proportion can be found with a certain level of confidence.

Mathematically,

Confidence Interval = (Sample proportion) ± (Margin of error)

Sample proportion = 0.3333

Margin of Error is the width of the confidence interval about the mean.

It is given mathematically as,

Margin of Error = (Critical value) × (standard Error)

Critical value at 80% confidence level for sample size of 90 is obtained from the z-tables.

Critical value = 1.280

Standard error of the mean = σₓ = √[p(1-p)/n]

p = sample proportion

n = sample size = 90

σₓ = √[0.3333×0.6667)/90] = 0.0496891568 = 0.04969

80% Confidence Interval = (Sample proportion) ± [(Critical value) × (standard Error)]

CI = 0.3333 ± (1.28 × 0.04969)

CI = 0.3333 ± 0.0636021207

80% CI = (0.2696978793, 0.3969021207)

80% Confidence interval = (0.270, 0.397)

Hope this Helps!!!

3 0
3 years ago
C=-7/15 and x=2/5 c-4x write your answer in simplest form
pogonyaev

9514 1404 393

Answer:

  -31/15

Step-by-step explanation:

Put the numbers in the expression and do the arithmetic.

  c-4x=-\dfrac{7}{15}-4\cdot\dfrac{2}{5}=-\left(\dfrac{7}{15}+\dfrac{8}{5}\right)\\\\=-\left(\dfrac{7}{15}+\dfrac{24}{15}\right)=\boxed{-\dfrac{31}{15}}

__

Your graphing calculator can probably help with this.

5 0
3 years ago
Priscilla can make 4 bracelets in 13 minutes. At this rate, how many bracelets can she make in 26 minutes?
Degger [83]

Answer:

8

Step-by-step explanation:

To find the answer, multiply 4 and 2 together, since 13 is 2 times less than 26.

----------------------------------------------------------------------------------------------------------------

Let's double check,

26 ÷ 13 = 2

so,

4 × 2 = 8

----------------------------------------------------------------------------------------------------------------

Have a good day :)

4 0
3 years ago
The measure of angle 1 is 65 degrees. What are the measures of the other seven angles? (Enter the
Anika [276]

Answer:

See solution below

Step-by-step explanation:

According to the diagram shown

m<1 = m<5 = 5=65 degrees (corresponding angle)

m<5 = m<4 - 65 degrees (alternate interior angle)

m<9 = m<8 = 65degrees (corresponding angle)

m<5 = m<8 = 65dgrees (vertically opposite angles)

m<6+m<8 = 180

m<6 + 65 = 180

m<6 = 180 - 65

m<6 = 115degrees

m<2 = m<6 = 115degrees (corresponding angles)

m<6 = m<7 = 115degrees (vertically opposite angles)

m<3 = m<7 = 115degrees(corresponding angle)

)

3 0
3 years ago
Quadrilateral ABCD is similiar to quadrilateral EFGH. The lengths of the three longest sides in quadrilateral ABCD are 60 feet,
Ivan

Answer:

15 feet

Step-by-step explanation:

Quadrilateral ABCD has a scale facter of 2.5 over the quadrilateral EFGH. The order of ABCD is 60, 40, 30, and x, EFGH has y, z, 12, and 6.

6 times the scale factor of 2.5 is 15, the answer.

7 0
3 years ago
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