If g(x) = 2(x − 4), find the value of x if g(x) = 20

If the tax rate is 9.5%. determine how much tax you will need to pay on your order

7nadin3 [17]

Answer:

In order to calculate the sales tax of an item, we need to first multiply the pre-tax cost of the item by the sales tax percentage after it has been converted into a decimal. Once the sales tax has been calculated it needs to be added to the pre-tax value in order to find the total cost of the item.

Step-by-step explanation:

8 0

3 years ago

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The most common form of color blindness is an inability to distinguish red from green. However, this particular form of color bl

Alecsey [184]

Answer:

(a) The correct answer is P (CBM) = 0.79.

(b) The probability of selecting an American female who is not red-green color-blind is 0.996.

(c) The probability that neither are red-green color-blind is 0.9263.

(d) The probability that at least one of them is red-green color-blind is 0.0737.

Step-by-step explanation:

The variables CBM and CBW are denoted as the events that an American man or an American woman is colorblind, respectively.

It is provided that 79% of men and 0.4% of women are colorblind, i.e.

P (CBM) = 0.79

P (CBW) = 0.004

(a)

The probability of selecting an American male who is red-green color-blind is, 0.79.

Thus, the correct answer is P (CBM) = 0.79.

(b)

The probability of the complement of an event is the probability of that event not happening.

Then,

P(not CBW) = 1 - P(CBW)

= 1 - 0.004

= 0.996.

Thus, the probability of selecting an American female who is not red-green color-blind is 0.996.

(c)

The probability the woman is not colorblind is 0.996.

The probability that the man is not color- blind is,

P(not CBM) = 1 - P(CBM)

= 1 - 0.004

= 0.93.

The man and woman are selected independently.

Compute the probability that neither are red-green color-blind as follows:

$P(\text{Neither is Colorblind}) = P(\text{not CBM}) \times P(\text{not CBW})\\ = 0.93 \times 0.996 \\= 0.92628\\\approx 0.9263$

Thus, the probability that neither are red-green color-blind is 0.9263.

(d)

It is provided that a one man and one woman are selected at random.

The event that “At least one is colorblind” is the complement of part (d) that “Neither is Colorblind.”

Compute the probability that at least one of them is red-green color-blind as follows:

$P (\text{At least one is Colorblind}) = 1 - P (\text{Neither is Colorblind})\\ = 1 - 0.9263 \\= 0.0737$

Thus, the probability that at least one of them is red-green color-blind is 0.0737.

6 0

3 years ago

The figure below shows circle with center O and two perpendicular diameters

dlinn [17]

Answer:

Triangles OAB,BOC,COD,DOA are isocele and right , are thus equals and have the same hypothenus . The quadrilater ABCD is a diamond (having 4 sides equals) and its diagonals perpendicular is thus a square.

Step-by-step explanation:

3 0

3 years ago

Mr. Lane is 6 feet 4 inches tall. His daughter, Mary, is 3 feet 8 inches shorter than her father. His son is 9 inches taller tha

algol [13]

2 feet and 1 in. Explanation is subtract 3’8 from 6’4 then add 9in too it. Feet can only go to 12in. But you’ll get 3’4. Then add 9 and you’ll get 3’13 so you’ll get 4’1 and then just subtract that from 6’4 and you get 2’1

7 0

4 years ago

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A rock is thrown up from the ground at a velocity of 84 feet per second. The formula h = -16t2 + 84t gives the rock's height in

kenny6666 [7]

Answer:

h = 110.24 m

Step-by-step explanation:

It is given that,

A rock is thrown up from the ground at a velocity of 84 feet per second. The formula $h = -16t^2 + 84t$ gives the rock's height in feet after t second.

We need to find the maximum height of the rock. For maximum height put $\dfrac{dh}{dt}=0$

So,

$\dfrac{d( -16t^2 + 84t)}{dt}=0\\\\-32t+84=0\\\\t=\dfrac{84}{32}\\\\t=2.62\ s$

Put t = 2.62 s in the equation of height. So,

$h = -16(2.62)^2 + 84(2.62)\\\\h=110.24\ m$

So, the maximum height of the rock is 110.24 m.

7 0

3 years ago