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murzikaleks [220]
3 years ago
11

How high would you have to count before you would use the letter A in the English language spelling of a whole number?

Mathematics
1 answer:
andrew11 [14]3 years ago
7 0
Would it not be one hundred and[insert number]?
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7. A machine produces memory sticks of varying lengths, distributed uniformly between 3mm and 13 mm. Memory sticks longer than 1
Mars2501 [29]

Answer:

The proportion of memory sticks that will be scrapped is 0.3 = 30%.

Step-by-step explanation:

Uniform probability distribution:

An uniform distribution has two bounds, a and b.  

The probability of finding a value of at lower than x is:

P(X < x) = \frac{x - a}{b - a}

The probability of finding a value between c and d is:

P(c \leq X \leq d) = \frac{d - c}{b - a}

The probability of finding a value above x is:

P(X > x) = \frac{b - x}{b - a}

Distributed uniformly between 3mm and 13 mm.

This means that a = 3, b = 13

Calculate the proportion of memory sticks that will be scrapped:

P(X > 10) = \frac{13 - 10}{13 - 3} = \frac{3}{10} = 0.3

The proportion of memory sticks that will be scrapped is 0.3 = 30%.

6 0
3 years ago
Please help for number 8 I don't understand.
Ksju [112]

Answer:

8a. x = 16√3

8b. y = 8√3

Step-by-step explanation:

8a. Determination of the value of x

Adjacent = 24

Hypothenus = x

Angle θ = 30°

The value of x can be obtained by using cosine ratio as illustrated below:

Cos θ = Adjacent /Hypothenus

Cos 30 = 24 / x

√3/2 = 24/x

Cross multiply

x × √3 = 2× 24

x × √3 = 48

Divide both side by √3

x = 48/√3

Rationalise

x = 48/√3 × √3/√3

x = 48√3 / √3 × √3

x = 48√3 / 3

x = 16√3

8b. Determination of the value of y

Opposite = y

Adjacent = 24

Angle θ = 30°

The value of y can be obtained by using Tan ratio as illustrated below:

Tan θ = Opposite / Adjacent

Tan 30 = y / 24

1 / √3 = y /24

Cross multiply

y × √3 = 1 × 24

y × √3 = 24

Divide both side by √3

y = 24 /√3

Rationalise

y = 24 /√3 × √3/√3

y = 24 ×√3 / √3 × √3

y = 24√3 / 3

y = 8√3

8 0
3 years ago
Write in scientific notation: .0000604
NISA [10]

Step-by-step explanation:

Scientific notation : 6.04 * 10^-5.

8 0
3 years ago
Read 2 more answers
Given the following points, write the equation of the line that goes through them. ( -12,56), (0,8), and (8,-24).
BaLLatris [955]

Answer:

y=-4x+8

Step-by-step explanation:

step 1

Find the slope

The formula to calculate the slope between two points is equal to

m=\frac{y2-y1}{x2-x1}

take two points from the data

(0,8), and (8,-24).

substitute

m=\frac{-24-8}{8-0}

m=\frac{-32}{8}

m=-4

step 2

Find the equation of he line in slope intercept form

y=mx+b

we have

m=-4

b=8 ----> the y-intercept is given

substitute

y=-4x+8

8 0
3 years ago
I need help on this math question, I would really appreciate if you can help me.<br> Thanks.
Scorpion4ik [409]

the answer is G

Step-by-step explanation:

i dont have an eplanation

5 0
3 years ago
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