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kirill115 [55]
2 years ago
10

On average,Anna can drive 31 miles on every gallon of gasoline. If you fills up her tank for $2.19 per gallon, how much will it

cost her to drive 434 miles?
Mathematics
2 answers:
babymother [125]2 years ago
8 0

Answer:

US$ 30,66

Step-by-step explanation:

\frac{31miles}{1 gallon} =\frac{434miles}{y}

31y= 434

y= 434/31= 14 gallons

C= 2,19.14 = 30,66 dolars

Alex Ar [27]2 years ago
7 0

Answer:

30.60

Step-by-step explanation:

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The amount of mustard dispensed from a standard dispenser is normally distributed with a mean of 0.9oz and a variance of 0.01oz.
lubasha [3.4K]

Answer:

the probability that more than 3 of them will have more than one ounce of mustard is 0.05975

Step-by-step explanation:

Given te data in the question;

let x rep the quantity of mustard on a hotdog ( in oz)

so

X → N ( u = 0.9, α² = 0.01 )

now P( more than one ounces of mustard on a hotdog) will be

P( X>1 ) = P( Z > ((1-0.9)/(√0.01)) ) = P( Z > 1 ) = 1 - P( Z < 1 )

= 1 - 0.84134 = 0.15866

Also let Y rep the number of hotdogs that have more than one ounces of mustard, so

Y → Bin( n = 10, p = 0.15866 )

P( y = y ) = (¹⁰ _y) ( 0.15855)⁰ ( 1 - 0.15866 )^10-y, y = 0,1,2,3......, 10

so required probability = P(Y > 3) = 1 - P(Y ≤ 3)

= 1 - P(Y=0) - P(Y=1) - P(Y=2) - P(Y=3)

=1 -  (¹⁰ ₀) ( 0.15855)⁰ (1 - 0.15855)¹⁰⁻⁰ - (¹⁰ ₁) ( 0.15855)¹ (1 - 0.15855)¹⁰⁻¹ - (¹⁰ ₂) ( 0.15855)² (1 - 0.15855)¹⁰⁻² - (¹⁰ ₃) ( 0.15855)³ (1 - 0.15855)¹⁰⁻³

= 0.05975

Therefore the probability that more than 3 of them will have more than one ounce of mustard is 0.05975

4 0
2 years ago
23. A 340 million square mile forest is how many hectares?
Firlakuza [10]

Answer:

88059595400 hectares

Step-by-step explanation:

Convert 340 million square miles into hectares.

1 square mile = 258.99881 hectares

340,000,000 square miles = 88059595400 hectares

The forest is 88059595400 hectares.

3 0
2 years ago
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Find the thirty-second term of the following sequence.<br> 9, 15, 21, ...<br> 186<br> 199<br> 195
olga nikolaevna [1]
The question can be answered using the arithmetic sequence formula: an<span> = a</span>1<span> + (n – 1)d.
d = 6
a1 = 9
n = 32
an = ?

an = 9 + (32-1)6
an = 9 + 31x6
an = 195

so, the 35th term is 195</span>
5 0
2 years ago
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A manufacturer is designing a flashlight. For the flashlight to emit a focused beam, the bulb needs to be on the central axis of
aalyn [17]
From the problem, the vertex = (0, 0) and the focus = (0, 3)
From the attached graphic, the equation can be expressed as:
(x -h)^2 = 4p (y -k)
where (h, k) are the (x, y) values of the vertex (0, 0)
The "p" value is the difference between the "y" value of the focus and the "y" value of the vertex.
p = 3 -0
p = 3
So, we form the equation
(x -0)^2 = 4 * 3 (y -0)
x^2 = 12y
To put this in proper quadratic equation form, we divide both sides by 12
y = x^2 / 12

Source:
http://www.1728.org/quadr4.htm




5 0
2 years ago
Select all of the potential solution(s) of the equation 2log5x = log54?
Romashka-Z-Leto [24]

Answer:

jit is good work i am sorry i am doing this but that is how business work

Step-by-step explanation:

also here sorry

4 0
2 years ago
Read 2 more answers
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