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3 years ago

An item has a price tag of $35 and another tag that says 20% off what is the sale price?

1 answer:

8 0

First you have to see what 20% of 35 is
turn 20% into a decimal by dividing by 100 and you get .20
then multiply:
.20x35=7
So 20% of $35 is $7
So now all you do is subtract:
35-7=28
So the sales price is $28

Hope this helps!!! :D

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Find the slope of the line through each pair of point

Stolb23 [73]

Answer:

what are the pair of points?

7 0

2 years ago

Do you tailgate the car in front of you? About 35% of all drivers will tailgate before passing, thinking they can make the car i

Vesna [10]

Answer:

(a) The histogram is shown below.

(b) E (X) = 4.2

Step-by-step explanation:

Let X = r = a driver will tailgate the car in front of him before passing.

The probability that a driver will tailgate the car in front of him before passing is, P (X) = p = 0.35.

The sample selected is of size n = 12.

The random variable X follows a Binomial distribution with parameters n = 12 and p = 0.35.

The probability function of a binomial random variable is:

$P(X=x)={n\choose x}p^{x}(1-p)^{n-x}$

(a)

For X = 0 the probability is:

$P(X=0)={12\choose 0}(0.35)^{0}(1-0.35)^{12-0}=0.006$

For X = 1 the probability is:

$P(X=1)={12\choose 1}(0.35)^{1}(1-0.35)^{12-1}=0.037$

For X = 2 the probability is:

$P(X=2)={12\choose 2}(0.35)^{2}(1-0.35)^{12-2}=0.109$

Similarly the remaining probabilities will be computed.

The probability distribution table is shown below.

The histogram is also shown below.

(b)

The expected value of a Binomial distribution is:

$E(X)=np$

The expected number of vehicles out of 12 that will tailgate is:

$E(X)=np=12\times0.35=4.2$

Thus, the expected number of vehicles out of 12 that will tailgate is 4.2.

(c)

The standard deviation of a Binomial distribution is:

$SD(X)=np(1-p)$

The standard deviation of vehicles out of 12 that will tailgate is:

$SD(X)=np(1-p)=12\times0.35\times(1-0.35)=2.73\\$

Thus, the standard deviation of vehicles out of 12 that will tailgate is 2.73.

4 0

3 years ago

Fill in the table for the exponential function given f(x)=3(2)^n

mina [271]

Answer:

A = 3/2

B = 3

C = 6

D = 12

Step-by-step explanation:

Simply plug it in. When you have a negative exponent, you basically switch the sign of the exponent and put a one over the number itself.

So we have 2^-1. This is the same as $3(\frac{1}{2^1}) =3( \frac{1}{2}) = \frac{3}{2}$ = a

Now do $3(2^0) = 3$ = b

Then do $3(2^1) = 6$ = c

Finally do $3(2^2) = 12$ = d

6 0

3 years ago

Solve the equation x^13-2x^12-x^11+2x^10=0 in the real number system

ASHA 777 [7]

Answer:

x ={0; - 1 ; 2 ; 1}

Step-by-step explanation:

x¹³-2x¹²-x¹¹+2x¹⁰=0

x¹⁰(x³-2x²-x+2)=0

x¹⁰(x+1)(x-2)(x-1)=0

x¹⁰=0 ∨ x+1=0 ∨ x-2=0 ∨ x-1=0

x=0 x= - 1 x= 2 x= 1

3 0

3 years ago

ANSWERRRR QUICKKKK PLEASEEEE

Brums [2.3K]

Answer: sqrt(2)/2 which is choice D

======================================================

Explanation

(3pi/4) radians converts to 135 degrees after multiplying by the conversion factor (180/pi).

The angle 135 degrees is in quadrant 2. We subtract the angle 135 from 180 to find the reference angle

180-135 = 45

Then you can use a 45-45-90 triangle to determine that the ratio of opposite over hypotenuse is sqrt(2)/2

sine is positive in quadrant 2

------------

Alternatively, you can use a unit circle. Refer to the diagram below. In red, I've circled the angle 3pi/4 radians. The terminal point for this angle has a y coordinate of sqrt(2)/2

Recall that y = sin(theta).

6 0

3 years ago