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guajiro [1.7K]
2 years ago
11

Of the 100 students enrolled at the dance studio, 50 take ballet and 24 take tap dancing. Eight of the students who take ballet

also take tap dancing. If a student at the studio is chosen at random, find the probability that they take ballet, if it is known that they do not take tap dancing
Mathematics
2 answers:
Soloha48 [4]2 years ago
8 0

Answer:

42 over 100

Step-by-step explanation:

MrRa [10]2 years ago
6 0

Answer:21/38

Step-by-step explanation:

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In a USA TODAY/Gallup Poll, respondents favored Barack Obama over Mitt Romney in terms of likeability, 61% to 32% (Los Angeles T
dybincka [34]

Answer:

a) percentage of respondents that favored neither Obama nor Romney in terms of likeability = 7%

b) For a given survey of 500, the number of respondents that favored Obama than Romney is 145.

Step-by-step explanation:

Given that none of those surveyed can favour the two candidates at the same time,

n(Universal set) = n(U) = 100%

n(Obama) = n(O) = 61%

n(Romney) = n(R) = 32%

n(That favour Obama and Romney) = n(O n R) = 0%

To calculate for the number that favour neither of the candidates

n(O' n R')

n(U) = n(O) + n(R) + n(O n R) + n(O' n R')

100 = 61 + 32 + 0 + n(O' n R')

n(O' n R') = 100 - 93 = 7%

b) For a given survey of 500, how many more respondents favored Obama than Romney?

Number of those surveyed that favour Obama = 61% of 500 = 305

Number of those surveyed that favour Romney = 32% of 500 = 160

Difference = 305 - 160 = 145

5 0
2 years ago
For a quadrilateral to be a parallelogram, its opposite sides and _____ must be congruent.
Natalija [7]
<span>opposite sides and _____ </span>and angles 
8 0
2 years ago
Read 2 more answers
Find the sequence.. <br> 1,2,2,4,8
AlladinOne [14]
Let the n-th term be called a_n

We see that if we choose a_0=1,a_1=2 then the other numbers follow the pattern a_{n+2}=a_{n+1}\cdot a_n (see :4=2*2,8=4*2)

Hence the sequence will be 1,2,2,4,8,32,256, 8192, 2097152, 17179869184,\dots
7 0
2 years ago
A study found that a driver’s reaction time A(x) to audio stimuli and his or her reaction time V(x) to visual stimuli (both in m
amid [387]

Answer:

The required inequality is 0.0001 x^2 - 0.089 x - 7.

Step-by-step explanation:

The given inequalities are

A(x) = 0.0051x^2 - 0.319x + 15

V(x)= 0.005x^2 - 0.23x + 22

where, x is the driver's age (in years), A(x) is driver’s reaction time to audio stimuli and V(x) is his or her reaction time to visual stimuli, 16 ≤ x ≤ 70.

We need to find an inequality that can be use to find the x-values for which A(x) is less than V(x).

A(x)

0.0051x^2 - 0.319x + 15< 0.005x^2 - 0.23x + 22

0.0051x^2 - 0.319x + 15- 0.005x^2 + 0.23x- 22

Combine like terms.

0.0001 x^2 - 0.089 x - 7

where, 16 ≤ x ≤ 70.

Therefore, the required inequality is 0.0001 x^2 - 0.089 x - 7.

5 0
2 years ago
You invested a total of $12,000 at 4.5 percent and 5 percent simple interest. During one year, the two accounts earned $570. How
Luda [366]

Answer: You invested $6000 in both accounts.

Step-by-step explanation:

Let x represent the amount invested in the account earning 4.5% interest.

Let y represent the amount invested in the account earning 5% interest.

You invested a total of $12,000 at 4.5 percent and 5 percent simple interest. This means that

x + y = 12000

The formula for simple interest is expressed as

I = PRT/100

Where

P represents the principal

R represents interest rate

T represents time in years

I = interest after t years

Considering the account earning 4.5%

I = (x × 4.5 × 1)/100 = 0.045x

Considering the account earning 5%

I = (y × 5 × 1)/100 = 0.05y

During one year, the two accounts earned $570. . This means that

0.045x + 0.05y = 570 - - - - - - - - - - 1

Substituting x = 12000 - y into equation 1, it becomes

0.045(12000 - y) + 0.05y = 570

540 - 0.045y + 0.05y = 570

- 0.045y + 0.05y = 570 - 540

0.005y = 30

y = 30/0.005 = 6000

x = 12000 - y = 12000 - 6000

x = $6000

6 0
2 years ago
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