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34kurt
4 years ago
6

A deck of cards has a 2, 3, 4, 5, and 6. The number 4 card is drawn and not replaced. A second card is randomly drawn. Find P(6)

Mathematics
1 answer:
amm18124 years ago
6 0

Answer: 1/4 or 25%


Step-by-step explanation: The probability of drawing any card is equal because there is only 1 of each number. 4 is pulled out and not replaced, so there are 4 numbers instead of 5; the denominator is 4. The probability of 6 is 1/4, because there is one 6 out of four numbers. The suggested answer is 1/4, but some tests or questions will ask for the percent specifically.


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Rhett made a simple drawing of his house. it is a three dimensional figure with four faces that are rectangular and two that are
Xelga [282]

Answer: Rectangular prism

Step-by-step explanation:

Details culled from the information supplied :

1.) A 3 - dimensional figure

2.) Four rectangular faces

3.) Two square faces

Using the above information to form the basis of our inference, It could be inferred that the figure of Rhett's house is a rectangular prism.

Three dimensions: length, width, and height

Six faces in total; four of which are rectangular and 2 squared faces.

6 0
4 years ago
The credit remaining on a phone card (in dollars) is a linear function of the total calling time made with the card (in minutes)
Ivan

Answer: the remaining credit after 79 minutes of call is $15.52

Step-by-step explanation:

let x represent the number of minutes of call.

Let y represent the remaining credit after x minutes of call.

If we plot y on the vertical axis and x on the horizontal axis, a straight line would be formed. The slope of the straight line would be

Slope, m = (17.2 - 19.84)/(65 - 43)

m = - 2.64/22 = - 0.12

The equation of the straight line can be represented in the slope-intercept form, y = mx + c

Where

c = intercept

m = slope

To determine the intercept, we would substitute x = 65, y = 17.2 and m = - 0.12 into y = mx + c. It becomes

17.2 = - 0.12 × 65 + c

17.2 = - 7.8 + c

c = 17.2 + 7.8

c = 25

The linear function becomes

y = - 0.12x + 25

Therefore, the remaining credit after 79 minutes of call is

y = - 0.12 × 79 + 25

y = - 9.4 + 25

y = 15.52

6 0
3 years ago
A circle has a radius of 5 in. A central angle that measures 150° cuts off an arc.
marishachu [46]

Answer:

Part 1) The exact value of the arc length is \frac{25}{6}\pi \ in

Part 2) The approximate value of the arc length is 13.1\ in

Step-by-step explanation:

ind the circumference of the circle

The circumference of a circle is equal to

C=2\pi r

we have

r=5\ in

substitute

C=2\pi (5)

C=10\pi\ in

step 2

Find the exact value of the arc length by a central angle of 150 degrees

Remember that the circumference of a circle subtends a central angle of 360 degrees

by proportion

\frac{10\pi}{360} =\frac{x}{150}\\ \\x=10\pi *150/360\\ \\x=\frac{25}{6}\pi \ in

Find the approximate value of the arc length

To find the approximate value, assume

\pi =3.14

substitute

\frac{25}{6}(3.14)=13.1\ in

3 0
3 years ago
The time, t, required to travel a fixed distance varies inversely as the
Lemur [1.5K]

You must travel at 42 mph for 4 hours

<em><u>Solution:</u></em>

Time varies inversely as rate of motion

Let "t" be the time required

Let "r" be the rate of motion

Then, we get

t \propto \frac{1}{r}\\\\t = k \times \frac{1}{r}\\\\t = \frac{k}{r} -------- eqn 1

Where, "k" is the constant of proportionality

<em><u>You travel 3 hours at a rate of 56 mph</u></em>

Substitute t = 3 and r = 56 in eqn 1

3 = \frac{k}{56}\\\\k = 3 \times 56\\\\k = 168

<em><u>Find the  rate you must travel for 4 hours</u></em>

r = ? and t = 4

Substitute t = 4 and k = 168 in eqn 1

4 = \frac{168}{r}\\\\r = \frac{168}{4}\\\\r = 42

Thus you must travel at 42 mph for 4 hours

4 0
3 years ago
Help ASAP please ! I’ll give points
ale4655 [162]

The answers D

Step-by-step explanation:

the answer is D because to fine slope, you have to do rise over run

hope this help : )

5 0
3 years ago
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