Can someone help me correct this

Consider the probability that greater than 99 out of 158 flights will be on-time. Assume the probability that a given flight wil

Nikitich [7]

Answer:0.1514

Step-by-step explanation:

Let n be the no of flights on time =145

Let p be the probability that a flight be on time=0.64

Check the condition for normal approximation to the binomial distribution

$np\geq 10$

$92.8\geq 10$

Also

$n(1-p)\geq 10$

$52.2\geq 10$

Both the conditions satisfied ,so the normal distribution can be used to approximate probability

$mean\mu =92.8$

Standard deviation $\left ( \sigma \right )=\sqrt{np\left ( 1-p\right )}$

$\sigma =5.779$

$P\left ( X>99\right )=1-P\left ( x\leqslant 99\right )$

$P\left ( X>99\right )=1-P\left ( \frac{x-\mu }{\sigma }\leq \frac{99-92.8}{5.779}\right )$

$P\left ( X>99\right )=1-P\left [ 1.072\right ]$

$P=1-08485\approx 0.1514$

8 0

3 years ago

A recipe calls for chocolate chips in a ratio of 1 cup of white chocolate chips to 2 cups of milk chocolate chips. How many milk

emmasim [6.3K]

Answer:

4 cups of milk chocolate

Step-by-step explanation:

if there are 6 cups in total, then you can see that 1:2 is equal to 3 cups in total. If you multiply both sides of the ratio by 2, then you get 2:4, which is 6. You have to add the chocolate together to find how much it equals in total. Because it's white chocolate to milk chocolate, that would be 2:4, so there are 4 cups of milk chocolate.

8 0

3 years ago

Read 2 more answers

Straw are sold in packs and boxes there are 15 straws in each pack there are 48 straws in each box Tricia buys p packs of straws

kramer

So the expression for total number of straws is: 15p+48b

Step-by-step explanation:

We know that:

Straws in a pack = 15

Straws in a box = 48

Here

p denotes the number of packs and b is the number of boxes.

The product of number of packs and number of straws in a pack will give us the total straws in packs

15*p = 15p

Similarly, the product of number of boxes and number of straws in a box will give us the total straws in box

48*b = 48b

The sum of both will give us the total number of straws

So the expression for total number of straws is: 15p+48b

Keywords: Linear expressions, Variables

Learn more about linear expressions at:

#LearnwithBrainly

8 0

3 years ago

Identify quadrilateral

Sholpan [36]

14. trapezoid

- the bases are parallel

15. rhombus

- if you add 57 and 33 you will get 90 degrees. that means all the other angles the diagonals create intersecting each other are 90 degrees, and one of the properties of a rhombus is they have perpendicular diagonals.

16. kite

- two adjacent sides are congruent, and the two angles drawn are congruent

4 0

3 years ago

Round 5.492 to the place value of the underlined digit.

mars1129 [50]

If it has a line under the 9, then it needs to be 5.49, but if it has a line under the 4 it needs to be rounded up to 5.5 since the number behind it is above 5.

6 0

3 years ago