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3 years ago

I need help with number 27

Mathematics

1 answer:

Zepler [3.9K]3 years ago

4 0

volume of bigger: 8*8*8=512 s3

volume of smaller: 6.5*6.5*6.5=274.63 s3

difference: 512.00-274.63=237.37

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One card is drawn form a standard deck of 52 cards. What is the probability of P(jack or red)

bazaltina [42]

2/52 which simplifies down to 1/26

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4 years ago

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What is the correct answer to this question?

Amiraneli [1.4K]

Answer:

548 ft

Step-by-step explanation:

70+70+84+84+120+120

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3 years ago

Find an equation of the line in the form ax+by=c whose x-intercept is 12 and y-intercept is 4, where a, b, and c are integer

Lostsunrise [7]

Answer:

The equation of the line in $ax+by=c$ form where $a,b,c$ are integers with no factor common to all three, and greater than or equal 0 is:

$x+3y=12$

Step-by-step explanation:

Given:

x-intercept = 12

y-intercept = 4

To find the equation of line in the form $ax+by=c$ where $a,b,c$ are integers with no factor common to all three, and greater than or equal 0.

Solution:

The x-intercept is the point at which the line cuts the x-axis. The point of x-intercept is given as $(x,0)$

Thus, on point of the line is (12,0)

The y-intercept is the point at which the line cuts the y-axis. The point of y-intercept is given as $(0,y)$ .

Thus, on point of the line is (0,4)

Using the two points we can find the slope of the line using the slope formula.

$m=\frac{y_2-y_1}{x_2-x_1}$

So, slope of the line can b given as:

$m=\frac{4-0}{0-12}$

$m=\frac{4}{-12}$

$m=-\frac{1}{3}$

The slope intercept form of the equation of he line is given as:

$y=mx+b$

where $m$ represents slope of the line and $b$ represents the y-intercept.

So, the equation of the line can be given as:

$y=-\frac{1}{3}x+4$

Multiplying each term by 3 to remove fraction.

$3y=3.-\frac{1}{3}x+4(3)$

$3y=-x+12$

Adding $x$ both sides.

$3y+x=-x+x+12$

$3y+x=12$

Thus, the equation of the line in $ax+by=c$ form where $a,b,c$ are integers with no factor common to all three, and greater than or equal 0 is:

$x+3y=12$

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3 years ago

The answers 80kg, 88 divided by 110 then times by 100

Karolina [17]

137.5 because first you divide 110 by 80 and then mupilty the answer by 100

7 0

4 years ago

Thomas wants to invite Madeline to a party. He has an 80% chance of bumping into her at school. Otherwise, he'll call her on the

mash [69]

Answer:

The probability of Thomas inviting Madeline to the party over the phone is 0.143.

Step-by-step explanation:

Consider the tree diagram below.

The events are denoted as follows:

A = Thomas bumps into Madeline at school

B = Thomas call Madeline on the phone

X = Thomas asks Madeline to the party

The information provided is:

P (A) = 0.80

P (B) = 1 - P (A) = 1 - 0.80 = 0.20

P (X|A) = 0.90

⇒ P (X'|A) = 1 - P (X|A) = 1 - 0.90 = 0.10

P (X|B) = 0.60

⇒ P (X'|B) = 1 - P (X|B) = 1 - 0.60 = 0.40

The conditional probability of event U given that another events V has already occurred is:

$P(U|V)=\frac{P(V|U)P(U)}{P(V)}$

The law of total probability states that:

$P(V)=P(V|U)P(U)+P(V|U')P(U')$

In this case we need to determine the probability that Thomas invites Madeline to the party over the phone, i.e. P (B|X).

Use the law of total probability to determine the value of P (X) as follows:

$P(X) = P(X|A)P(A)+P(X|B)P(B)$

$=(0.90\times 0.80)+(0.60\times 0.20)\\=0.72+0.12\\=0.84$

Compute the value of P (B|X) as follows:

$P(B|X)=\frac{P(X|B)P(B)}{P(X)}$

$=\farc{0.60\times 0.20}{0.84}\\\\=0.14286\\\\\approx 0.143$

Thus, the probability of Thomas inviting Madeline to the party over the phone is 0.143.

6 0

4 years ago