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2 years ago

50% prefferd fruit cake 1/5 preferred spong and the remainder preferred cheesecake

Mathematics

1 answer:

d1i1m1o1n [39]2 years ago

4 0

The percentage of people who preferred cheesecake if 50% prefferd fruit cake 1/5 preferred sponge is 40%.

<h3>Percentage</h3>

Total percentage = 100%
Fruit cake = 50%

Percentage remaining = 100% - 50%

= 50%

Sponge cake = 1/5

Percentage of sponge cake = 1/5 × 50%

= 1/5 × 0.5

= 10%

Percent that likes cheesecake = Total - (fruits cake + sponge cake)

= 100% - (50% + 10%)

= 100% - (60%)

= 40%

Therefore, the percentage of people who preferred cheesecake if 50% prefferd fruit cake 1/5 preferred sponge is 40%.

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Move two choices to the blanks to correctly complete the sentences.

Pavel [41]

Answer:

(A) There should have been 5 outcomes of HT

(B) The experimental probability is greater than the theoretical probability of HT.

Step-by-step explanation:

Given

$S = \{HH,HT,TH,TT\}$ -- Sample Space

$n(S) = 4$ --- Sample Size

Solving (a); theoretical outcome of HT in 20 tosses

First, calculate the theoretical probability of HT

$P(HT) = \frac{n(HT)}{n(S)}$

$P(HT) = \frac{1}{4}$

Multiply this by the number of tosses

$P(HT) * n= \frac{1}{4} * 20$

$P(HT) * n= 5$

Solving (b); experimental probability of HT

Here, we make use of the table

$P(HT) = \frac{n(HT)}{n(S)}$

$P(HT) = \frac{6}{20}$

$P(HT) = 0.30$ ---- Experimental Probability

In (a), the theoretical probability is:

$P(HT) = \frac{1}{4}$

$P(HT) = 0.25$ ---- Experimental Probability

By comparison;

$0.30 > 0.25$

6 0

3 years ago

Evalute 27⋅((3^3)^−1)

shtirl [24]

Answer: 0.81

Step-by-step explanation:

=27⋅((3^3)^−1)

Do the brackets first:

3^3 is the same as 3³ so it is 27

then:

27^-1 equals 0.03

And lastly:

multiply 27 and 0.03

27(0.03)=0.81

8 0

3 years ago

Pick the correct answer Please help thanks :)

meriva

Answer:

Step-by-step explanation:

First create the equation that has slope of -1 in the form of y=mx+b. Because the slope is -1, m=-1, so the equation is y=-x+b. Now we see that we are given the point (-3, 8) as an intersection point. Substitute x and y for -3 and 8 in our equation. With this information, our equation becomes 8=3+b. Solving, b=5. Our equation is now y=-x+5.

Simplifying all of the answer choices, we have

A. y=-x-5

B. y=-x+5

C. y=-x-5

D. and E. as what they already show

The only answer that matches is B.

5 0

1 year ago

Find the greatest common factor of 210, 84, and 56

mr Goodwill [35]

To get the Greates Common Factor (GCF) of 84 and 210 we need to factor each value first and then we choose all the copies of factors and multiply them:

84: 223 7210: 2 357GCF: 2 3 7

The Greates Common Factor (GCF) is: 2 x 3 x 7 = 42

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2 years ago

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6.Identify the terms in the expression: 9 + 11y – y2 + y3 – 4y4

Maslowich

6. 9 + 11y – y2 + y3 – 4y4
This expression has 5 terms.

7. (2a + 3b) + 4c = 2a + (3b + 4c)
Associative property of addition, because you're moving the parentheses.

8. If m = 4 and n = 4, then m = n
Substitution property.

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12. (-2)³
-2 * -2 * -2
-8

13. - 925

14. 15(3y – 5)
45y - 75

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42 + 36w

16. 3n+57

17. 9p-63

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3 years ago