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2 years ago

Conversions factors and proportion quiz part 2 could some one help me

Mathematics

1 answer:

Jet001 [13]2 years ago

6 0

Answer: 1050 bushels of corn

Step-by-step explanation: 750 / 10 gives us the amount that 1 acre produces. It produces 75 corn bushels per acre, so then you can either do 75 * 4 + 750 or 75 * 14

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Please help me guys

seraphim [82]

Area of pond:

A= $\pi r^{2}$

r=1,5m

A=3,142*1,5*1,5=7,0695

Area of pond with path

B= $\pi r^{2}$

r=50 cm+1,5m=0,5m+1,5m=2m

B=3,142*2*2=12,568

Area of path:

12,568-7,0695=5,4985=5,50

8 0

3 years ago

Read 2 more answers

The first three terms of an arithmetic sequence are as follows.

Anna007 [38]

Answer:

The next two terms are 14 and 20.

Step-by-step explanation:

This is because the pattern is add 6, so you add 6 to 8 which equals 14, then 14 plus 6 equals 20.

5 0

3 years ago

Factorise x^2 + 10x + 16

alex41 [277]

Answer: (x+8)(x+2) = x^2 + 10x + 16

6 0

3 years ago

Read 2 more answers

9p + 8 Math fraction

Klio2033 [76]

Answer:

17p

Step-by-step explanation:

9p+8p=17p

8 0

4 years ago

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