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3 years ago

There are 16 ounces in 1 pound, Juan is mailing a package that weighs 96 ounces. He wants

Mathematics

1 answer:

Mazyrski [523]3 years ago

5 0

Answer:

96oz = 6 pounds

Step-by-step explanation:

96 divided by 16 = 6 pounds

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What is 5.1 mi to feet

tatuchka [14]

Answer: 5.1 miles = 26928 feet

Step-by-step explanation:

1 mile = 5280 feet

0.1 miles = 528

times that by 5

5 miles = 26400 feet

add

26928 feet

7 0

3 years ago

A coin is to be tossed as many times as necessary to turn up one head. Thus the elements c of the sample space C are H, TH, TTH,

slavikrds [6]

Answer:

Step-by-step explanation:

As stated in the question, the probability to toss a coin and turn up heads in the first try is $\frac{1}{2}$ , in the second is $\frac{1}{4}$ , in the third is $\frac{1}{8}$ and so on. Then, P(C) is given by the next sum:

$P(C)=\sum^{\infty}_{n=1}(\frac{1}{2} )^{n}=1$

This is a geometric series with factor $\frac{1}{2}$ . Then is convergent to $\frac{1}{1-\frac{1}{2}}-1=1.$ . With this we have proved that P(C)=1.

Now, observe that

$P(H)=\frac{1}{2}, P(TH)=\frac{1}{4},P(TTH)=\frac{1}{8},P(TTTH)=\frac{1}{16},P(TTTTH)=\frac{1}{32},P(TTTTTH)=\frac{1}{64}.$

Then

$P(C1)=P(H)+P(TH)+P(TTH)+P(TTTH)+P(TTTTH)=\frac{1}{2} +\frac{1}{4} +\frac{1}{8} +\frac{1}{16} +\frac{1}{32} =\frac{31}{32}$

$P(C2)=P(TTTTH)+P(TTTTTH)=\frac{1}{32}+\frac{1}{64} =\frac{3}{64}$

$P(C1\cap C2)=P(TTTTH)=\frac{1}{32}$

and

$P(C1\cup C2)=P(H)+P(TH)+P(TTH)+P(TTTH)+P(TTTTH)+P(TTTTTH)=\frac{1}{2} +\frac{1}{4} +\frac{1}{8} +\frac{1}{16} +\frac{1}{32} +\frac{1}{64}=\frac{63}{64}$

5 0

3 years ago

Please answer!!! I’m stuck on it and need help fast <3

asambeis [7]

Answer: 2880

Explanation: First, multiply 40 and 4 together to find the value of h. This should get you to 160. Then plug in 160 into h in the equation e=18h. This multiplies 18 and 160 together. You will then get an answer of 2880.

8 0

3 years ago

If the blue radius below is perpendicular to the green chord and the segment BC is 7.6 units long, what is the length of the cho

galina1969 [7]

Answer:

The correct answer is A. 15.2 units

Step-by-step explanation:

The segment AB is congruent to the segment BC eg AB≅BC Why?

We can prove it with the triangle congruent theorem, postulate side-side-angle

We are watching triangle ΔABO and triangle ΔCBO, they are congruent

first element side OB=OB - common side

second element side OA=OC=r - radius of the circle

third element angle ∡ABO≅∡CBO=90°

According to the postulate side-side-angle we can conclude that triangles

ΔABO≅ΔCBO (triangles are congruent)

If they are congruent all of their elements are also congruent and therefore also

side AB=BC => AB+BC=AC, which is chord => 7.6+7.6=15.2 units

AC= 15.2 units ( chord )

Good luck!!!

6 0

3 years ago

One Solution No Solution Infinitely Many Solutions

Ede4ka [16]

One solution, because both of the lines meet

7 0

3 years ago