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Afina-wow [57]
3 years ago
5

Express 0.00078456 in scientific notation

Mathematics
2 answers:
kakasveta [241]3 years ago
8 0
Your answer would be:
7.8456 x 10 to the power of -4
Annette [7]3 years ago
5 0
7.8456 x 10^(-4)

this means you move the decimal place to the left 4 places to get the actual value
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Suppose lightning strikes at an average of 1.4 strikes per minute during a particular storm. You play the following game: if the
ZanzabumX [31]

Answer:

$3.25

Step-by-step explanation:

Given that:

Mean, λ = 1.4

Strike within next minute = $3 won

Strike between one and 2 minutes = $5

Strike more than 2 minutes = $1

Probability that next strike occurs within the next minute :

Using poisson :

P(x < 1) = 1 - e^-(λx) ;

P(x < 1) = 1 - e^-(1.4*1) = 1 - e^-1.4

P(x < 1) = 1 - 0.2465969

P(x < 1) = 0.7534030

Next strike occurs between 1 and 2 minutes :

(1 < x < 2) :

P(x < 2) - P(x < 1)

P(x < 2) = 1 - e^-(λx) ;

P(x < 2) = 1 - e^-(1.4*2) = 1 - e^-2.8

P(x < 2) = 1 - 0.0608100

P(x < 2) = 0.9391899

P(x < 2) - P(x < 1)

0.9391899 - 0.7534030 = 0.1857869

P(striking after 2 minutes)

P(x > 2) = e^-(λx) ;

P(x > 2) = e^-(1.4*2) = e^-2.8

P(x > 2) = 0.0608100

Amount charged :

(0.7534030 * 3) + (0.1857869 * 5) + (0.06081 * 1)

= 3.2499

= $3.25

4 0
2 years ago
If ABCD is congrunent to , pqrs, then AD is congrent to ?
katovenus [111]

Answer:

AD is congruent to RS

Step-by-step explanation:

we know that

If two figures are congruent, then its corresponding sides and its corresponding angles are congruent

In this problem

If

ABCD≅PQRS

then

<em>Corresponding angles</em>

∠A≅∠P

∠B≅∠Q

∠C≅∠R

∠D≅∠S

<em>Corresponding sides</em>

AB≅PQ

BC≅QR

CD≅RS

AD≅PS

7 0
3 years ago
Each pound of food C contains 6 ounces of ingredient P and 3 ounces of ingredient Q. Each pound of food D contains 4.5 ounces of
GuDViN [60]
So hmm the food C = 6p + 3q  and the food D = 4.5p + 1.5q

now, if we check how much is the ratios of C/D for each component, then, mixture M = 144p + 60q, must contain the same ratio for each "p" and "q" component

\bf \textit{ratio of "p"}\implies \cfrac{6}{4.5}\implies \cfrac{4}{3}&#10;\\\\\\&#10;\textit{ratio of "q"}\implies \cfrac{3}{1.5}\implies \cfrac{2}{1}

so, if we divide the 144p by 4+3, or 7 even pieces, 4 must belong to food C and 3 to food D, retaining the ratio of 4/3

and we do the same for 60q, we divide it in 2+1 or 3 even pieces, but that one is very clear, 2 must belong to food C and 1 to food D, 60/3 is clear ends up with a ratio of 40 and 20

now the "p" part... ends up as \bf \cfrac{144}{7}\cdot 4\qquad and\qquad \cfrac{144}{7}\cdot 3\implies \cfrac{576}{7}\qquad and\qquad \cfrac{432}{7}

that's what I see it, as the ratio of 4/3 and 2/1 being retained in the mixture M
7 0
3 years ago
Please answer this thank you
Sliva [168]
It’s answer A big boy
6 0
2 years ago
if the rate 30hot dogs per 5 minutes is reduced to a unit rate the result is ? do not include units in this answer
DedPeter [7]
Hello there!

The answer is 6 hotdogs per min.

Hope This Helps You!
Good Luck :)
5 0
3 years ago
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