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tatyana61 [14]
2 years ago
13

The guidance counselor of a large high school reports that 48.5% of Junior Pre-Calculus students signed up to take AP Statistics

next year, 52.5% signed up to take AP Calculus next year and 10% of Junior Pre-Calculus students signed up to take both AP Statistics and AP Calculus next year. If one Junior Pre-Calculus student is selected at random, what is the probability that they did not sign up to take AP Statistics or AP Calculus next year
Mathematics
1 answer:
Drupady [299]2 years ago
7 0

Answer:

A) 0.09

Step-by-step explanation:

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A restaurant wants to study how well its salads sell. The circle graph shows the sales over the past few days. If 10 of the sala
vova2212 [387]
40%=10
80%=20
100%=25
answer is 25
5 0
2 years ago
The starting salary for a particular job is 1.2 million per annum. The salary increases each year by 75000 to a maximum of 1.5mi
Vlada [557]
<h2>Answer:</h2>

In the 5th year

<h2>Step-by-step explanation:</h2>

For the first year, the salary is 1.2million = 1,200,000

For the second year, the salary is 1.2million + 75000 = 1,200,000 + 75,000 = 1,275,000

.

.

.

For the last year, the salary is 1.5million = 1,500,000

This gives the following sequence...

1,200,000 1,275,000  .   .   . 1,500,000

This follows an arithmetic progression with an increment of 75,000.

<em>Remember that,</em>

The last term, L, of an arithmetic progression is given by;

L = a + (n - 1)d           ---------------(i)

<em>Where;</em>

a = first term of the sequence

n = number of terms in the sequence (which is the number of years)

d = the common difference or increment of the sequence

<em>From the given sequence,</em>

a = 1,200,000                          [which is the first salary]

d = 75,000                               [which is the increment in salary]

L = 1,500,000                          [which is the maximum salary]

<em>Substitute these values into equation (i) as follows;</em>

1,500,000 = 1,200,00 + (n - 1) 75,000

1,500,000 - 1,200,000 = 75,000(n-1)

300,000 = 75,000(n - 1)

\frac{300,000}{75,000} = n - 1

4 = n - 1

n = 5

Therefore, in the 5th year the maximum salary will be reached.

3 0
2 years ago
An epidemiologic survey of roller-skating injuries in Metroville, a city with a population of 100,000 (during the midpoint of th
Ahat [919]

Answer: c. \dfrac{90}{1800}\times100\%

Step-by-step explanation:

As per given , we have

Total number of residents injured from roller-skating =1,800

Total number of deaths from roller-skating = 90

Formula for Mortality rate : Mortaility\ rate= \dfrac{Deaths\ due \ to\ injury}{Tota\ injuries}

Then, the proportional mortality ratio (%) due to roller-skating was

=\dfrac{90}{1800}\times100\%

= 5%

Hence, the correct answer is c.\dfrac{90}{1800}\times100\%

8 0
2 years ago
The population can be modeled by P(t) = 82.5 − 67.5cos⎡ ⎣(π/6)t ⎤ ⎦, where t is time in months (t = 0 represents January 1) and
Fed [463]

Answer:

The intervals in which the population is less than 20,000 include

(0 ≤ t < 0.74) and (11.26 < t ≤ 12)

Step-by-step explanation:

P(t) = 82.5 - 67.5 cos [(π/6)t]

where

P = population in thousands.

t = time in months.

During a year, in what intervals is the population less than 20,000?

That is, during (0 ≤ t ≤ 12), when is (P < 20)

82.5 - 67.5 cos [(π/6)t] < 20

- 67.5 cos [(π/6)t] < 20 - 82.5

-67.5 cos [(π/6)t] < -62.5

Dividing both sides by (-67.5) changes the inequality sign

cos [(π/6)t] > (62.5/67.5)

Cos [(π/6)t] > 0.9259

Note: cos 22.2° = 0.9259 = cos (0.1233π) or cos 337.8° = cos (1.8767π) = 0.9259

If cos (0.1233π) = 0.9259

Cos [(π/6)t] > cos (0.1233π)

Since (cos θ) is a decreasing function, as θ increases in the first quadrant

(π/6)t < 0.1233π

(t/6) < 0.1233

t < 6×0.1233

t < 0.74 months

If cos (1.8767π) = 0.9259

Cos [(π/6)t] > cos (1.8767π)

cos θ is an increasing function, as θ increases in the 4th quadrant,

[(π/6)t] > 1.8767π (as long as (π/6)t < 2π, that is t ≤ 12)

(t/6) > 1.8767

t > 6 × 1.8767

t > 11.26

Second interval is 11.26 < t ≤ 12.

Hope this Helps!!!

3 0
2 years ago
PICK MORE THAN ONE ANSWER:
ss7ja [257]

Answer:

The correct answers are "After adding the 0 test score, the mean would be affected.", ad "Before the missed test, Eva’s median score was 91".

Step-by-step explanation:

We know that the mean and median scores would not be helpful in determining Eva's abilities since the 0 is not a representation of how much she knows. However, it will affect the average as adding a 0 to the numerator and a 1 to the denominator will lower the average.

Finally, we can tell the median is 91 before added as when we line up the scores in ascending order, the middle number is 91.

82, 90, 91, 96, 100

4 0
2 years ago
Read 2 more answers
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