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mote1985 [20]
3 years ago
5

A car travels at an average speed of 68 miles per hour. How long does it take to travel 374 miles?

Mathematics
2 answers:
mina [271]3 years ago
6 0
If you travel 374 miles at a speed of 68 mph, you travel for 5 ¹/₂ hours as shown:
    <u>       5.5</u>
68) 374
       <u>340</u><u />
         340<u>
</u>         <u>340
</u><u />             0<u>
</u>
dem82 [27]3 years ago
5 0
5 4/68 is the answer I think
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5. A company sells small, colored binder clips in packages of 20 and offers a money-back guarantee if two or more of the clips a
SOVA2 [1]

Answer:

a) Binomial.

b) n=20, p=0.01, k≥2

The probability hat a package sold will be refunded is P=0.0169.

Step-by-step explanation:

a) We know that

  • the defective probability is constant and independent.
  • the sample size is bigger than one subject.

The most appropiate distribution to represent this random variable is the binomial.

b) The parameters are:

  • Sample size (amount of clips in the package): n=20
  • Probability of defective clips: p=0.01.
  • number of defective clips that trigger the money-back guarantee: k≥2

The probability of the package being refunded can be calculated as:

P(x\geq2)=1-(P(x=0)+P(x=1))\\\\\\P(x=k) = \dbinom{n}{k} p^{k}q^{n-k}\\\\\\P(x=0) = \dbinom{20}{0} p^{0}q^{20}=1*1*0.8179=0.8179\\\\\\P(x=1) = \dbinom{20}{1} p^{1}q^{19}=20*0.01*0.8262=0.1652\\\\\\P(x\geq2)=1-(0.8179+0.1652)=1-0.9831=0.0169

6 0
3 years ago
Solve the system by elimination.. x+5y-4z=-10. 2x-y+5z=-9. 2x-10y-5z=0. . a.) (5, –1, 0). b.) (–5, 1, 0). c.) (–5, –1, 0). d.) (
Troyanec [42]

Answer:

Your answer is option C … (-5, -1, 0)


Step-by-step explanation:


3 0
3 years ago
A child has toy blocks that contain the numbers 1 through 80. What is the probability that the will pick up a number that is
Tju [1.3M]

Answer:

73/80

Step-by-step explanation:

multiples of 11 between 1 and 80 are 11,22,33,44,55,66,77

number of terms=7

P(multiple of 11)=7/80

P(not a multiple of 11)=1-7/80=73/80

5 0
2 years ago
Smith cut his peanut butter
Lorico [155]
The answer is the square root of 101.75
Assuming that the sandwich Is a square, after cutting it diagonally, it turns into 2 triangles. To look for a missing length of a triangle, you use Pythagorean’s theorem a^2+b^2=c^2
Since c is 12 and a is 6.5 you just square 12 and square 6.5
144 42.25
Subtract it
101.75
You then have to find the square root of it. You can leave it as it is as √101.75 or just solve for it and round it to 10.09
3 0
3 years ago
QUICK HELP PLEASE!!
Nesterboy [21]

Answer: AC= 85 BC= 68 and AB=65 The sides of the triangle are all of different lengths which means that ABC is a scalene triangle.

Step-by-step explanation: A scalene triangle only has different lengths! :)

3 0
3 years ago
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