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3 years ago

What will be the radius of the pony’s path?

Mathematics

1 answer:

WINSTONCH [101]3 years ago

6 0

The radious is half od the diameter. so if you take the diameter divide it in half say its 10 and you divide it by 2 you get half which is 5.

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Solve 4(3x-1)=20 you may use the flowchart to help you if you wish

Korolek [52]

Answer:

x=2 : )

Step-by-step explanation:

4(3x-1)=20

12x-4=20

12x=24

x=2

5 0

3 years ago

Read 2 more answers

Tomato as a taste modifier. Miraculin—a protein naturally produced in a rare tropical fruit—has the potential to be an alternati

telo118 [61]

Answer:

a) 0.033

b) 0.468

c) 100

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 105.3

Standard Deviation, σ = 8

The amount x of miraculin produced (measured in micro-grams per gram of fresh weight) had a normal distribution.

Formula:

$z_{score} = \displaystyle\frac{x-\mu}{\sigma}$

a) P(x > 120)

$P( x > 120) = P( z > \displaystyle\frac{120 - 105.3}{8}) = P(z > 1.8375)$

$= 1 - P(z \leq 1.8375)$

Calculation the value from standard normal z table, we have,

$P(x > 120) = 1 - 0.967 = 0.033 = 3.3\%$

b) P(x between 100 and 110)

$P(100 \leq x \leq 110) = P(\displaystyle\frac{100 - 105.3}{8} \leq z \leq \displaystyle\frac{110-105.3}{8}) = P(-0.6625 \leq z \leq 0.5875)\\\\= P(z \leq 0.5875) - P(z \leq -0.6625)\\= 0.722 - 0.254 = 0.468 = 46.8\%$

$P(100 \leq x \leq 110) = 46.8\%$

c) P(x < a) = 0.25

$P( x \leq a) = P( z \leq \displaystyle\frac{a - 105.3}{8}) = 0.25$

Calculation the value from standard normal z table, we have,

$P( z \leq -0.674) = 0.25$

$\displaystyle\frac{x - 105.3}{8} = -0.674\\\\x = -0.674\times 8 + 105.3 = 99.908 \approx 100$

3 0

3 years ago

Simplify 5(x-2) - 3x + 4

PilotLPTM [1.2K]

Answer:

y= 2x-6

Step-by-step explanation:

4 0

4 years ago

Read 2 more answers

Convert 5.764764764... to a rational expression in the form of a/b where b ≠ 0.

Vladimir [108]

$5.764764764....=5.(764)-in\ European\ mathematics\\\\5.764764764....=5.\overline{764}-in\ US\ mathematics\\\\subtitute:\\\\x=5.(764)\ \ \ \ |multiply\ both\ sides\ by\ 1000\\\\1000x=5764.(764)\\\\
let's\ make\ a\ difference\ 1000x-x\ therefore\ we\ have\ the\ equation:\\\\1000x-x=5764.(764)-5.(764)\\\\999x=5759\ \ \ \ \ |divide\ both\ sides\ by\ 999\\\\\boxed{x=\frac{5759}{999}}$

$So...\ we\ have\ answer:\\\\\boxed{5.764764764...=\frac{5759}{999}}$

7 0

3 years ago

Simply and reduce to lowest terms<br> a + [a + b - a - (2a- b)]

VladimirAG [237]

A + [a + b - a - (2a- b)]
= a + (b - 2a + b)
= -a + 2b

3 0

3 years ago