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Andrei [34K]
3 years ago
8

Simplify each expression. 16 1/4. 49 1/2. 10001/3-64 1/6

Mathematics
1 answer:
Crazy boy [7]3 years ago
7 0
The answer for the first one is 4 the sacend one is 49/2 the thirst one is 33223
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Given P(A) = 0.36, P(B) = 0.2 and P(ANB) = 0.122, find the value of P(AUB), rounding to the nearest thousandth, if necessary.​
aliya0001 [1]

Answer:

The value of P(AUB) = 0.438

Step-by-step explanation:

Given:

P(A) = 0.36

P(B) = 0.2

P(A∩B) = 0.122

Find:

The value of P(AUB)

Computation:

P(AUB) = P(A) + P(B) - P(A∩B)

The value of P(AUB) = 0.36 + 0.2 - 0.122

The value of P(AUB) = 0.56 - 0.122

The value of P(AUB) = 0.438

7 0
2 years ago
How do I graph this?​
vfiekz [6]

See attachment of the graph of the inequalities x + 7y ≤ 49 and 6x + y ≤ 48

<h3>How to graph the inequalities?</h3>

The inequalities are given as:

x + 7y ≤ 49

6x + y ≤ 48

The domain and the range are:

x ≥ 0

y ≥ 0

This means that, we plot the inequalities x + 7y ≤ 49 and 6x + y ≤ 48 under the domain and the range x ≥ 0 and y ≥ 0

See attachment of the graph of the inequalities x + 7y ≤ 49 and 6x + y ≤ 48

Read more about inequalities at:

brainly.com/question/25275758

#SPJ1

6 0
1 year ago
List P contains m numbers; list Q contains n numbers. If the two lists are combined to produce list R, containing m + n numbers,
Anarel [89]

Answer: YES

Step-by-step explanation:

We need to write out the expressions

P= {m}

Q= {n}

R= {m+n}

If 2m=n then we can say;

P= {½n} Q= {n} & R= {³/²n}

It is obvious that the smaller number in Q is greater than the largest number in P

We can make some assumptions.

Let n= (x,y,z)

Consequently,

P={½x,½y,½z} Q={x,y,z} and R= {1.5x,1.5y,1.5z}

Therefore the median will be the middle element,

Median of P= ½y

Median of Q = y

Median of R = 1.5y

And 1.5y>1.5y

Then we can agree that the median of R is greater than the median of both P and Q

5 0
3 years ago
Jason correctly graphed an inequality as shown below
schepotkina [342]
4 < = x + 4 < = 8
4 - 4 < = x + 4 - 4 < = 8 - 4
0 < = x < = 4.......this matches ur graph

so ur expression is : x + 4

8 0
3 years ago
Desmond really like Legos. Last Saturday Desmond counted his Legos and realized that
Burka [1]

Answer: 14 red, 7 green, 44 blue

Step-by-step explanation:

First, use the letter <em>r</em> as a variable to represent the number of red Legos. The number of green Legos (<em>g</em>) is 7 less than the number of red Legos, or <em>g = r-7.</em> The number of blue Legos (b) is 2 more than 3 times the number of red Legos, or <em>b = 3r+2</em>. The total number of Legos is the number of red + green + blue Legos, which can be represented as <em>65 = r+g+b</em>.

Substitute the equations for g and b in. This should give you a final equation of <em>65 = r+(r-7)+(3r+2)</em>. To solve for the number of <u>red</u> Legos, first add up all of the terms to get <em>65 = 5r-5</em>. Now add 5 to each side (70<em> = 5r</em>). Finally, divide each side by 5 (r = 14).

To find the number of <u>green</u> Legos, substitute the number of red Legos (14) into the equation for the green Legos (<em>g = r-7</em>). This should get you the equation <em>g = 14-7</em> which simplifies to g = 7.

To find the number of <u>blue</u> Legos, substitute the number of red Legos (14) into the equation for the blue Legos (<em>b = 3r+2</em>). This gives you the equation <em>b = (3*14)+2.</em> First, multiply 3 and 14 to get <em>b = 42+2</em>. Finally, add them together to get b = 44.

6 0
2 years ago
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