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2 years ago

13

Over the weekend, Ella at ¼ box of cereal, and Finnley at ⅜ of the same box. What portion of the box of cereal did they eat in a

ll?

1 answer:

wariber [46]2 years ago

8 0

Answer:

Step-by-step explanation:

This equation is simple all you have to do is add 1/4+3/8 and that would be 5/8.

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If a student randomly guesses at 20 multiple-choice questions, find the probability that the student gets exactly four correct.

ad-work [718]

Answer:

Probability = 0.190

Step-by-step explanation:

Given:

Number of questions, 'n' = 20

Each question has four choices.

Let event of choosing correct answer be success and its probability be represented by 'p'.

Therefore, event of choosing wrong answer is failure and its probability be represented by 'q'.

Now, probability of success is choosing one correct answer out of 4 options. So, $p=\frac{1}{4}=0.25$

Now, 'p' and 'q' are complements of each other. Therefore,

$q=1-p=1-0.25=0.75$

Now, we need 4 successes. Therefore, $x=4$

Using Bernoulli's theorem to find 'x' successes from 'n' questions, we get:

$P(x)=_{x}^{n}\textrm{C}p^xq^{n-x}$

Plug in 4 for 'x', 20 for 'n', 0.25 for 'p' and 0.75 for 'q'. Solve.

$P(4)=_{4}^{20}\textrm{C}(0.25)^4(0.75)^{20-4}\\P(4)=_{4}^{20}\textrm{C}(0.25)^4(0.75)^{16}\\P(4)=4845\times (0.25)^4\times (0.65)^{16}\\\\P(4)=0.1896\approx0.190$

Therefore, the probability of getting 4 correct answers out of 20 questions is 0.190.

6 0

3 years ago

Please help me with 5 though 10

Monica [59]

Answer:

5.) 352

6.) 125000

7.) 7000

8.) 3900160

9.) 1 pound and 8 ounces

10.) 333.333

Step-by-step explanation:

5 0

3 years ago

Read 2 more answers

The total value of the money in her piggy bank is $7.75. If Brielle has 63 nickels, write and solve a linear equation to find th

Nataly [62]

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4 0

3 years ago

Brandon is buying 8 pounds of green apples and 5 pounds of red apples to make apple pies. Both types of apple costs $1.49 per po

Norma-Jean [14]

Green Apples: $11.92
Red Apples: $7.45
In total, Brandon will spend $19.37.

3 0

3 years ago

Read 2 more answers

Using the scientific calculator or graphing calculator find the inverse tangent of the ratio. Round to the nearest degree. 3/1

professor190 [17]

Given:

The ratio is $\dfrac{3}{1}$ .

To find:

Inverse tangent of the given ratio.

Solution:

We know that,

Inverse tangent of the ratio $\dfrac{3}{1}$ = $\tan^{-1}\dfrac{3}{1}$

= $\tan^{-1}3$

Using scientific or graphing calculator, we get

Inverse tangent of the ratio $\dfrac{3}{1}$ = $71.565^\circ$

Round to the nearest degree

Inverse tangent of the ratio $\dfrac{3}{1}\approx 72^\circ$

Therefore, the correct option is C.

3 0

2 years ago