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Scrat [10]
1 year ago
14

The circle graph shows the results of a survey by a bakery on which of their new products 105 customerspreferred most. How many

customers preferred cake? Round your answer to the nearest whole number.

Mathematics
1 answer:
Katen [24]1 year ago
4 0

If 105 customers were the total, and 35% prefers cake, we must calculate 35% of 105, then we must do 105 multiplied by 35%, we can doit transforming the 35% in the fraction notation:

35\%=\frac{35}{100}

And the multiplication

105\cdot\frac{35}{100}=36.75

Therefore, if we round it to the nearest whole number, the number of customers that prefer cake is 37.

37 customers prefer cake.

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Alvin takes pictures with his smartphone. Of the pictures 5/6 are animals. 3/4 of the animals are dogs. What fraction of the pic
ollegr [7]

Answer:

\dfrac{5}{8}

Step-by-step explanation:

Alvin takes pictures with his smartphone.

Of the pictures \frac{5}{6} are animals.

\frac{3}{4} of the animals are dogs.

To find which fraction of all pictures are pictures with dogs, you can simply multiply two fractions:

\dfrac{5}{6} \times \dfrac{3}{4} =\dfrac{15}{24} =\dfrac{5}{8}

<u>Another way</u> to solve this question:

Let the number of all pictures be 24 (divisible by both 4 and 6).

Then the number of pictures with animals is

\dfrac{5}{6} \times 24=5\times 4=20

and the number of pictures with dogs is

\dfrac{3}{4} \times 20=3\times 15

Hence, the fraction of pictures with dogs of all pictures is

\dfrac{15}{24}=\dfrac{5}{8}

8 0
2 years ago
Read 2 more answers
What is the range of f(x)=-3^x+4
Mice21 [21]
The range is [4,∞)
Or from 4 to positive infinity
Or y is greater than or equal to 4
5 0
2 years ago
Some members of the cooking club are making cakes which they will sell at a street fair for $10 apiece. It costs $10 for a booth
Alika [10]

Answer:

The cooking club sales covers the expenditure when 2 piece of cakes are sold.

Step-by-step explanation:

Given:

Selling price of each piece of cake = $10

Cost for booth at fair = $10

Ingredients for each piece of cake = $5

We need to find the number of pieces of cake sold when the sales cover the expenditures.

Solution:

Let the number of pieces be 'x'

So We can say that the point at which the sales cover the expenditures can be calculated as Selling price of each piece of cake multiplied by number of pieces will be equal to Cost for booth at fair plus Ingredients for each piece of cake multiplied number of piece of cakes.

framing in equation form we get;

10x =10+5x

Now Subtracting both side by '5x' using Subtraction property we get;

10-5x=10+5x-5x\\\\5x=10

Now Dividing both side by 5 we get;

\frac{5x}{5}=\frac{10}{5}\\\\x=2

Hence The cooking club sales covers the expenditure when 2 piece of cakes are sold.

7 0
2 years ago
Am I right ? Because I need help with this please thanks.
bazaltina [42]

to find the hypotenuse (or the ramp in question 4) you can use the equation

a^{2} +b^{2} =c^{2}

with a and b being the 3 feet and 9 feet and c being the unknown (ramp).

So if you plug 3 and 9 into the equation, it looks like this.

3^{2} +9^{2} =c^{2}

then square them.

9+81=c^{2}

simplify.

90=c^{2}

take the square root of both sides.

\sqrt{90} = c

\sqrt{90} is approx. 9.5 so the answer would be H.

7 0
3 years ago
2. A statistics student plans to use a TI-84 Plus calculator on her final exam. From past experience, she estimates that there i
Anarel [89]

Answer:

  1. P(≥1 working) = 0.9936
  2. She raises her odds of completing the exam without failure by a factor of 13.5, from 11.5 : 1 to 155.25 : 1.

Step-by-step explanation:

1. Assuming the failure is in the calculator, not the operator, and the failures are independent, the probability of finishing with at least one working calculator is the complement of the probability that both will fail. That is ...

... P(≥1 working) = 1 - P(both fail) = 1 - P(fail)² = 1 - (1 - 0.92)² = 0.9936

2. The odds in favor of finishing an exam starting with only one calculator are 0.92 : 0.08 = 11.5 : 1.

If two calculators are brought to the exam, the odds in favor of at least one working calculator are 0.9936 : 0.0064 = 155.25 : 1.

This odds ratio is 155.25/11.5 = 13.5 times as good as the odds with only one calculator.

_____

My assessment is that there is significant gain from bringing a backup. (Personally, I might investigate why the probability of failure is so high. I have not had such bad luck with calculators, which makes me wonder if operator error is involved.)

7 0
3 years ago
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