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OlgaM077 [116]
3 years ago
5

Help please with this algebra problem!

Mathematics
1 answer:
natka813 [3]3 years ago
4 0
F(a)=2a+8
f(a+h)=2(a+h)+8=2a+2h+8
(f(a+h)-f(a))/h=(2a+2h+8-2a-8)=2h/h=2
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Suppose that you draw two cards from a deck. After drawing the first card, you do not put the first card back in the deck. What
AVprozaik [17]

Answer:

The correct answer is 0.05882.

Step-by-step explanation:

A deck of cards have 52 cards, 13 cards of each suit.

We are drawing two cards without replacement.

We need to find the probability of getting a diamond as the first card.

Favorable outcomes are 13 and total number of outcomes are 52.

Thus this probability is \frac{13}{52} = \frac{1}{4}.

Now for the next draw we again want to pick a diamond card.

Favorable outcomes are 12 and total number of leftover cards are 51.

Thus this probability is \frac{12}{51}.

Now the probability that both cards are diamonds is \frac{1}{4} × \frac{12}{51} = \frac{3}{51} = \frac{1}{17} = 0.0588235 ≈ 0.05882

4 0
3 years ago
Find the value of x in the equation x⁄ 4 + x⁄14 + x⁄17 = 71
Morgarella [4.7K]

Hello from MrBillDoesMath!

Answer:

33769/181

Discussion:

Each term contains "x" so factoring it out gives

x( 1/4 + 1/14 + 1/17)  = 71       (*)

Use common factor (17*14*4  = 952) as the denominator to combine terms:

1/4 =  (17*14)/ 952  = 238/952

1/14 = (17*4)/952 = 68/952

1/17 = (14*4)/952  = 56/952

so 1/4 + 1/14 + 1/17 =    (238 + 68 + 56)/ 952 =  362/952 = 181/476

Substituting in (*) gives

x ( 181/476)  = 71                       => multiply both sides by 476/181

x = (71 * 476)/181                       => 71* 476 =33769

x = 33769/181

Thank you,

MrB

4 0
4 years ago
The probability of winning the 2010 Megamillions lottery was about 0.0000000057. Write the number in scientific notation.
telo118 [61]

Answer:

5.7 × 10^-9

Step-by-step explanation:

decimal point is 9 spots to the left that's why it's 10^-9

4 0
2 years ago
15/22 divided by 10/11 in fractions.<br><br><br>pls help
m_a_m_a [10]
The answer in the simplest form : 3/4
3 0
4 years ago
colin has an ice cube tray with 12 identical compartments. Each compartment is a prism that is 4 cm. long, 3 cm. wide, and 3 cm.
a_sh-v [17]
Volume = length x width x height
V = 4 x 3 x 3
4 x 3 = 12
V = 12 x 3
V = 36 cubic cm.
1 cubic cm. = 1 ml.
36 cubic cm. x 12 compartments = 432 cubic cm.
432 cubic cm. = 432 cubic ml.
5 0
3 years ago
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