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3 years ago

You draw one card from a standard 52-card deck. In how many ways could the card be face card or a six?

Mathematics

1 answer:

Nady [450]3 years ago

8 0

16/25 because there are 3 face cards which have 4 different suits and 4 different suits for the number 6

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Find an equation of the plane that contains (3, 4, −9) and is parallel to x + y − 5z = 1. (Use x, y, and z for coordinates.)

emmainna [20.7K]

Answer:

x + y - 5z = 52

Step-by-step explanation:

Given data:

Point on the plane (3,4,-9)

parallel to x + y -5z = 1

Finding the normal vector

(1 , 1 , -5)(x, y , z) = 1

the normal vector is (1 , 1 , -5)

formula for finding equation the plane given the normal vector (a,b,c) and point (m,n,o) is as

a(x - m) + b(y - n) + c(z-o)=0

Substituting the data we have

1(x-3) + 1( y- 4) - 5(z+9) =0

x-3 +y -4 -5z -45 = 0

x + y - 5z = 45 +4 +3

x + y - 5z = 52

6 0

3 years ago

If Professor Wilson found that the test scores of his students had a variance of 4.4, what is the standard deviation? Type a num

malfutka [58]

Answer:

The standard deviation will be: 2.1

Step-by-step explanation:

We know that standard deviation is basically the square root of variance.

Using the formula to calculate the standard deviation

$s=\sqrt{s^2}$

The variance = s² = 4.4

so the standard deviation can be calculated as:

standard deviation $=\sqrt{s^2}$

$=\sqrt{\left(4.4\right)^}$

$=2.1$

Therefore, the standard deviation will be: 2.1

8 0

3 years ago

What is the slope of the line?

Nuetrik [128]

Answer:

y = 0.25x + 1.5

Step-by-step explanation:

its starts at 1.5 on the y-axis

goes up 0.25 units

4 0

3 years ago

If the Minimum is 68, and the Maximum is 97, what is the Range of the Box-and-Whisker Plot?

spayn [35]

Answer:

Step-by-step explanation:

6 0

3 years ago

Read 2 more answers

The currency in switzerland is called a franc. On a certain day, one U.S. dollar equaled 1 1/4 swiss france. Write and solve a m

Rufina [12.5K]

Answer:

The equation is x = y * 4/5 and US$ 12 would equal 15 Swiss Francs

Step-by-step explanation:

1. Let's review all the information provided for solving this question:

1 US$ equivalent to 1 1/4 Swiss Franc

2. Let's write and solve a multiplication equation to find the amount of US$ that would equal 15 Swiss Francs

x = Amount of US$ equivalent

y = Amount of Swiss Francs

x = y /1.25

x = y / 5/4 (1.25 = 5/4)

x = y * 4/5

Now, let's replace with the real values:

x = 15 * 4/5

x = 60/5

x = 12

US$ 12 would equal 15 Swiss Francs

6 0

3 years ago