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zlopas [31]
2 years ago
14

Which of the following is the solution to the equation 25(z + 4) = 125? (6 points) z = 5.5 z = 3.5 z = −2.5 z = −0.5

Mathematics
2 answers:
Hunter-Best [27]2 years ago
6 0

Answer:

Z=1

Step-by-step explanation:

25z+100=125

25z=25

Z=1

SOVA2 [1]2 years ago
5 0

Answer:

z=1

Step-by-step explanation:

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The volume of an irregularly shaped geometric object is usually determined by the _____ of _____ it displays.
Arturiano [62]
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6 0
3 years ago
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A poker hand consisting of 9 cards is dealt from a standard deck of 52 cards. Find the probability that the hand contains exactl
Andrew [12]

Answer: \dfrac{^{12}C_{6}\times^{40}C_3}{^{52}C_9} or  \dfrac{228}{91885} .

Step-by-step explanation:

Given : A poker hand consisting of 9 cards is dealt from a standard deck of 52 cards.

The total number of cards in a deck 52

Number of faces cards in a deck = 12

Number of cards not face cards = 40

The total number of combinations of drawing 9 cards out of 52 cards = ^{52}C_9

Now , the combination of 9 cards such that exactly 6 of them are  face cards =  ^{12}C_{6}\times^{40}C_3

Now , the probability that the hand contains exactly 6 face cards will be :-

\dfrac{^{12}C_{6}\times^{40}C_3}{^{52}C_9}

=\dfrac{\dfrac{12!}{6!6!}\times\dfrac{40!}{3!37!}}{\dfrac{52!}{9!\times43!}}\ \ [\because\ ^nC_r=\dfrac{n!}{r!(n-r)!}]\\\\=\dfrac{228}{91885}

Hence, the probability that the hand contains exactly 6 face cards. is  \dfrac{228}{91885} .

6 0
3 years ago
14. Find the solution of the initial value problem y′′ + y = F(t), y(0) = 0, y′(0) = 0, where F(t) = ⎧⎪⎨⎪⎩ At, 0≤ t ≤ ????, A(2?
Vinvika [58]
Yxgxgggffggyygfccccgyu
3 0
3 years ago
En ampliar o reducir una fotografía, obtenemos copias de la fotografía original, pero de medida diferente. Si la anchura del ori
antoniya [11.8K]

Answer:

La anchura será de:

6 cm

Step-by-step explanation:

El formato original corresponde al 100%

Si se reduce un 60% quiere decir que:

100 - 60 = 40%

la reducción queda al 40%

entonces, por regla de tres:

15cm es al 100%

A cm es al 40%

A = 15*40/100

A = 6cm

7 0
2 years ago
Arbara signed up for dance lessons at Dance Unlimited. She was charged $55 per month for lessons and a one-time recital fee of $
kramer

Given:

Per month fee = $55

One-time recital fee = $165

The equation represents the $495 total cost that Barbara paid to Dance Unlimited.

495=165+55m

To find:

We need to find the number of month Barbara receive dance lessons from Dance Unlimited.

Solution:

We have,

495=165+55m

Here, m is number of months. We need to isolate m.

Subtract 165 from both sides.

495-165=55m

330=55m

Divide both sides by 55.

\dfrac{330}{55}=m

6=m

The value of m is 6. So, the required number of month Barbara receive dance lessons from Dance Unlimited is 6.

8 0
3 years ago
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