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Fittoniya [83]
4 years ago
9

Carle is cutting pieces of string that are exactly 24 3/8 inches long. How many pieces can she cut from a ball of string that ha

s 100 feet? 1 foot = 12 inches
Mathematics
2 answers:
Bingel [31]4 years ago
4 0
49 pieces 

First you change the foot into inches, so it is 1200 
then you divide so it is 1200/ 24 3/8 = 49 3/13 
but the remaining doesn't count since it is not one whole piece
yuradex [85]4 years ago
4 0

Answer:

She can cut 49 pieces.

Step-by-step explanation:

we know that 1 foot = 12 inches. Therefore, 100 feet would be 1200 inches.

Now we know  that Carle has a ball of string that has 1200 inches and she needs to cut pieces of string that are exactly 24 3/8 inches long.

Let's rewrite the 24 3/8 inches into a fraction.

24 3/8 = \frac{(24)(8)+3}{8} = \frac{195}{8}

Now we divide 1200 by 195/8

\frac{1200}{\frac{195}{8} } \\\\\frac{(1200)(8)}{195} \\\\\frac{9600}{195} \\49.23

Therefore she can cut 49 pieces.

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1000+90+45=1135

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6 0
3 years ago
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64% of US adults have very little confidence in newspapers you randomly select 10 US adults find the probability that the number
9966 [12]

Answer:

A) 0.1636

B) 0.7292

C) 0.0305

Step-by-step explanation:

This is a binomial probability distribution question that follows;

P(X = x) = nCx × p^(x) × q^(n - x)

In this case, p = 64% = 0.64

q = 1 - p = 1 - 0.64 = 0.36

Thus;

A) P(exactly 5) = P(5) = 10C5 × 0.64^(5) × 0.36^(10 - 5) = 0.1636

B) P(at least 6) = P(x ≥ 6) = P(6) + P(7) + P(8) + P(9) + P(10)

P(6) = 10C6 × (0.64^(6)) × (0.36^(10 - 6)) = 0.2424

P(7) = 10C7 × (0.64^(7)) × (0.36^(10 - 7)) = 0.2462

P(8) = 10C8 × (0.64^(8)) × (0.36^(10 - 8)) = 0.1642

P(9) = 10C9 × (0.64^(9)) × (0.36^(10 - 9)) = 0.0649

P(10) = 10C10 × (0.64^(10)) × (0.36^(10 - 10)) = 0.0115

Thus;

P(x ≥ 6) = 0.2424 + 0.2462 + 0.1642 + 0.0649 + 0.0115

P(x ≥ 6) = 0.7292

C) P(x < 4) = P(0) + P(1) + P(2) + P(3)

From online binomial probability calculator, we have;

P(x < 4) = 0.0305

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3 years ago
What is f=kry, for y
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F = kry

f/kr = y

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Answer:

x = 2

Step-by-step explanation:

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6 0
3 years ago
A circle is shown. Secants S V and T V intersect at point V outside of the circle. Secant S V intersects the circle at point W.
Marat540 [252]

<u>Given</u>:

Secants S V and T V intersect at point V outside of the circle. Secant S V intersects the circle at point W. Secant T V intersects the circle at point U.

The length of TU is (y - 2).

The length of UV is 8.

The length of SW is (y + 4)

The length of WV is 6.

We need to determine the length of line segment SV.

<u>Value of y:</u>

The value of y can be determined using the intersecting secant theorem.

Applying, the theorem, we get;

WV \times SV=UV \times TV

Substituting the values, we have;

6 \times (y+4+6)=8 \times (y-2+8)

   6 \times (y+10)=8 \times (y+6)

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        -2y+60=48

               -2y=-12

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Thus, the value of y is 6.

<u>Length of SV:</u>

The length of SV is given by

SV=SW+WV

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SV=6+4+6

SV=16

Thus, the length of SV is 16 units.

Hence, Option D is the correct answer.

7 0
3 years ago
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