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SpyIntel [72]
3 years ago
14

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)

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

<em>a(x - m) + b(y - n) + c(z-o)=0</em>

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}

As

  • 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:

b

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:

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

Step-by-step explanation:

<u>1. Let's review all the information provided for solving this question:</u>

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)

<u>x = y * 4/5</u>

Now, let's replace with the real values:

x = 15 * 4/5

x = 60/5

<u>x = 12</u>

<u>US$ 12 would equal 15 Swiss Francs</u>

6 0
3 years ago
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