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GalinKa [24]
3 years ago
13

On three science tests, Olivia has received scores of 89%, 98%, and 96%. What is the lowest score Olivia can get on her fourth a

nd final science test to
achieve an average score of 95%?
Mathematics
1 answer:
Nikolay [14]3 years ago
4 0

Answer:

97%

Step-by-step explanation:

89%+98%+96%+?=95×4

283+?=380

?=380-283

?=97%

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A test consists of 100 multiple choice questions, each with five possible answers, only one of which is correct. Find the mean a
TEA [102]

Answer:  Mean = 20 and standard deviation = 4

Step-by-step explanation:

Let x represents the success of getting the correct answer.

Here, the total number of trials(n) = 100

The probability of getting the correct answer, p = 1/5

Thus, the mean of the number of correct answer,

\mu_x= np

\mu_x= 100\times 1/5

\mu_x= 20

Now, the standard deviation, \sigma_x= \sqrt{n\times p\times (1-p)}

\sigma_x= \sqrt{100\times 1/5\times 4/5}

\sigma_x= \sqrt{16}

\sigma_x= 4

Thus, First option is correct.



6 0
3 years ago
3. Assume that the likelihood of a child under the age of ten watching PBS is 0.76. Three children are
natta225 [31]

Using the binomial distribution, the probabilities are given as follows:

a) 0.4159 = 41.59%.

b) 0.5610 = 56.10%.

c) 0.8549 = 85.49%.

<h3>What is the binomial distribution formula?</h3>

The formula is:

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

C_{n,x} = \frac{n!}{x!(n-x)!}

The parameters are:

  • x is the number of successes.
  • n is the number of trials.
  • p is the probability of a success on a single trial.

For this problem, the values of the parameters are:

n = 3, p = 0.76.

Item a:

The probability is P(X = 2), hence:

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = 2) = C_{3,2}.(0.76)^{2}.(0.24)^{1} = 0.4159

Item b:

The probability is P(X < 3), hence:

P(X < 3) = 1 - P(X = 3)

In which:

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = 3) = C_{3,3}.(0.76)^{3}.(0.24)^{0} = 0.4390

Then:

P(X < 3) = 1 - P(X = 3) = 1 - 0.4390 = 0.5610 = 56.10%.

Item c:

The probability is:

P(X \geq 2) = P(X = 2) + P(X = 3) = 0.4159 + 0.4390 = 0.8549

More can be learned about the binomial distribution at brainly.com/question/24863377

#SPJ1

4 0
2 years ago
What is the value of y?<br> Y<br> Y<br> 60<br> O A. 120°<br> B. 60°<br> C. 40°<br> O D. 30°
Grace [21]

Answer:

B. 60°

Step-by-step explanation:

1. The measure of all angles in a triangle sum up to 180°. This means that y + y + 60 = 120.

2. (Solving)

Step 1: Simplify both sides of the equation.

  • (y+y)+(60)=180
  • 2y + 60 = 180

Step 2: Subtract 60 from both sides.

  • 2y + 60 - 60 = 180 - 60
  • 2y = 120

Step 3: Divide both sides by 2.

  • \frac{2y}{2}=\frac{120}{2}
  • y = 60

Step 4: Check if solution is correct.

  • (60)+(60)+60 = 180
  • 120 + 60 = 180
  • 180 = 180

Therefore, the answer is B. 60°.

4 0
2 years ago
Express each number in standard form.
Vitek1552 [10]

a) 1,000 + 0 + 40 + 9

b) 40,000 + 3,000 + 800 + 70 + 0

c) 8,000,000 + 100,000 + 5

3 0
2 years ago
During a walk-a-thon, Noah's time in hours, t, and distance in miles, d, are related by the equation 13t=d. A graph of the equat
Alex_Xolod [135]

Step-by-step explanation:

the answer is 152 thats what i got

7 0
2 years ago
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