Hurry up need this answered quickly!

Calculate the approximate probability that at least 2 children have been diagnosed with ASD among the 200 selected children.

mixas84 [53]

Answer:

The approximate probability that at least 2 children have been diagnosed with ASD among the 200 selected children is

0.01 or 1%.

Step-by-step explanation:

Number of selected children = 200

The probability of no child been diagnosed with ASD = P(None) = 198/200 = 0.99

Therefore, the probability of at least two children been diagnosed with ASD = 1 - 0.99 = 0.01.

This is the same as:

If 2 children have been diagnosed with ASD,

therefore, the approximate probability that at least 2 children have been diagnosed is:

2/200 = 0.01. This value is equal to 1%.

The above are summed up in:

The probability of at least one = 1/200 = 0.05

Therefore, the probability of at least two = 0.05 * 2 = 0.01

b) Generally, to find the probability of at least one event happening, we calculate the probability of none and then subtract that result from 1. That is, P(at least one) = 1 – P(none). For two events happening, the sum of the probability of at least one in two places is deducted from 1 to get the probability of at least two.

4 0

2 years ago

Sean Matthews is a waiter at the Duluxe Lounge. In his first weekly pay in March, he earned $300.00 for the 40 hours he worked.

Gnoma [55]

If we calculate the net take home pay and we assume the employer withheld federal income tax (wage-bracket, married, 2 <span>allowances), social security taxes, and state income tax (2%)
</span>
Married at least $500 but not more than $510 $21
Social Security at 4.2% $21
State income tax at 2% $10
Total taxes: $52

Total net take-home pay: $598

4 0

2 years ago

Mr. Crow, the head groundskeeper at High Tech Middle School, mows the lawn along the side of the gym. The lawn is rectangular, a

Bogdan [553]

Answer:

Dimensions, Length = 85 feet and Width = 40 feet

Area of lawn = 3400 $feet^2$

Step-by-step explanation:

Given: Lawn is rectangular in shape

Length of lawn is 5 feet more than twice its breath/width

Perimeter of Lawn = 250 feet

To find: (a) Length and width of lawn

(b) Area of Lawn

First let the a variable for width/breadth. Say, Width = b.

So, the length of lawn = 2b + 5

Perimeter of Rectangle = 2 × ( length + width )

Now, substitue given values in this formula

∴ Perimeter of Lawn = 2 × ( 2b + 5 + b )

$250 = 2\times{(2b+b+5)}\\250= 2\times{(3b+5)}\\3b+5 = \frac{250}{2}\\3b = 125 -5\\3b = 120\\b=\frac{120}{3}\\b=40$

∴width = 40 feet

⇒ length = 85 feet

Now we find are of lawn using formula of area of rectangle

Area of lawn = length × width

= 85 × 40

= 3400 $feet^2$

Dimensions, Length = 85 feet and Width = 40 feet

Area of lawn = 3400 $feet^2$

7 0

3 years ago

Brian has 40000 to invest in a mix of corporate and municipal bonds. The corporate bond pays 10% simple annual interest and the

jonny [76]

Answer:

Sum of money invested in corporate bonds = 30,000

Step-by-step explanation:

Total sum = 40,000

The rate of interest for corporate bonds = 10 % = 0.1

The rate of interest for municipal bonds = 6 % = 0.06

Total interest = 3600

Let sum of money invested in corporate bonds = x

The sum of money invested in municipal bonds = 40000 - x

$x$ × 0.1 × 1 + ( $40000 - x$ ) × 0.06 × 1 = 3600

(0.1- 0.06) $x$ + 2400 = 3600

0.04 $x$ = 1200

$x$ = 30,000

Since x = sum of money invested in corporate bonds

So sum of money invested in corporate bonds = 30000

4 0

3 years ago

A cylindrical bin with a diameter of 15 feet 3 inches and a height of 24 feet 4 inches is used to hold wheat on the farm where y

Zepler [3.9K]

Given

A cylindrical bin with a diameter of 15 feet 3 inches and a height of 24 feet 4 inches is used to hold wheat.

One cubic foot holds 0.804 bushels

Find out bushels of wheat can be stored.

To proof

Formula

$Volume\ of\ a\ cylinder = \pi r^{2}h$

where r is the radius and h represent the height.

As given in the question

diameter = 15 feet 3 inches

height = 24 feet 4 inches

First convert inches into feet

I inches = 0.083 feet

15 feet 3 inches = 15 + 3 × 0.083

= 15.25 feet

Diameter = 15.25 feet

24 feet 4 inches = 24 + 4 ×0.083

= 24.33 feet

Height = 24.33 feet

$Radius\ of\ cylinder = \frac{Diameter}{2}$

Radius = 7.63 feet

$\pi = 3.14$

Put all the value in the above formula.

we get

Volume of the cylinder = 3.14× 7.63× 7.63× 24.33

= 4447.55 foot³ ( approx)

As given

One cubic foot holds 0.804 bushels

Total bushels of wheat can be stored = 4447.55×0.804

= 3575.83 ( approx)

Total bhushels of wheat stored are 3575.83 ( approx).

Hence proved

6 0

2 years ago

Read 2 more answers