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3 years ago

3. A fence is made up of eight 8 5/7-foot sections. How long is the fence? Write your answer as a mixed number in lowest terms.

Mathematics

1 answer:

rewona [7]3 years ago

5 0

Answer:

Step-by-step explanation:

3)A fence is made up of eight 8 5/7-foot sections. This means the total number of feet's is 8 × 8 5/7. Expressing 8 5/7 as improper fraction, it will be 61/7 feet's

The total length of the fence =

8 × 61/7 = 488/7 feet's

Expressing as mixed fraction, it becomes

69 5/7 feets

4) Cynthia spent 3/4 of her time at the gym on the stair machine. She spent a total of 21 3/4 minutes on the stair machine. This means that the time she spent on the gym is 3/4 × 21 3/4 .

Converting 21 3/4 to improper fraction, it becomes 87/4

The time she spent on the gym

= 3/4 × 87/4 = 261/16

= 16 5/16 minutes

5) On Monday, Ryan jogged 1 ½ miles in ¼ hour. On Wednesday he jogged 2 1/3 miles in 1/3 hour. Converting to improper fractions,

the miles ran on Monday= 1 ½ miles = 3/2 miles

the miles jogged on wednesday = 2 1/3 miles = 7/3 miles

How much farther did Ryan jog on Wednesday than on Monday? This would be 7/3 - 3/2

= 5/6 miles

6) One requires 2/3 cup of flour, another requires 7/8 cup of flour, and the third require 3/4 cup of flour.

Total amount of flour that Josh will use is

2/3 +7/8 +3/4 = (16+21+18)/24

= 55/25 = 2 7/25 cups of flour

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Here we're given
p=0.10 [ success = defective ]
n=3

(a) x=0
$P(x)=C(n,x)p^x(1-p)^{n-x}$
$=C(3,0)0.1^0(1-0.1)^{3-0}$
$=1(1)(0.729)$
$=0.729$

(b) x=2
$P(x)=C(n,x)p^x(1-p)^{n-x}$
$=C(3,2)0.1^2(1-0.1)^{3-2}$
$=3(0.01)(0.9)$
$=0.027$

(c) x ≥ 2
$P(x)=\sum_{x=2}^3C(n,x)p^x(1-p)^{n-x}$
$=P(2)+P(3)$
$=C(n,2)p^2(1-p)^{n-2}+C(n,3)p^3(1-p)^{n-3}$
$=C(3,2)0.1^2(1-0.1)^{3-2}+C(3,3)0.1^3(1-0.1)^{3-3}$
$=3(0.01)(0.9)+1(0.001)1$
$=0.027+0.001$
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3 years ago

1. Find the Length of Line AD A(6, 2) D(-3, -2)

densk [106]

Answer:

Step-by-step explanation:

$\sqrt{(2-(-2))^{2} + (6-(-3))^2}$

= $\sqrt{4^{2} + 3^{2} } \\$

= $\sqrt{25}$

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3 years ago

Write the augmented matrix for each system of equations.

Virty [35]

Answer:

see below

Step-by-step explanation:

List the coefficients and constant for an equation in one row of the matrix. The variables should be in the same order. Any missing terms are replaced by zero.

$\left[\begin{array}{ccc|c}9&-4&-5&9\\7&4&-4&-1\\6&-6&1&-5\end{array}\right]$

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3 years ago

Sarah is making her own costume for her role in the school play. The costume requires 25/8 yards of material. Select the number

BARSIC [14]

Answer:

Step-by-step explanation:

25/8

8*3=24

25-24=1

3 1/8

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3 years ago

Helppppp with this. What do I have to do?

vaieri [72.5K]

You need to use the grids to draw rectangles which meet the requirements to help you put the answers in on the right.

1) Short side of 7 and long side of 9.

2) Short side of 9 and long side of 10.

3) Short side of 3 and long side of 8.

4) Short side of 4 and long side of 9.

5) Short side of 3 and long side of 5.

6) Short side of 6 and long side of 8.

7) Short side of 1 and long side of 2

8) Both sides 10 (this is technically a square).

9) Short side of 6 and long side of 9.

10) Short side of 7 and long side of 8.

11) Short side of 2 and long side of 3.

12) Short side of 6 and long side of 9.

You can draw these a few different ways to still get a correct result, so above are just one way of doing it.

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3 years ago