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3 years ago

Solve the following equation algebraically please

Mathematics

1 answer:

Lesechka [4]3 years ago

4 0

Answer:

b. x = ±2

Step-by-step explanation:

3x² = 12

Divide both sides by 3

x² = 4

Taske the square root of both sides

x = ±2

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The average score of all pro golfers for a particular course has a mean of 70 and a standard deviation of 3.0 (Think of these as

bija089 [108]

Answer:

0.477 is the probability that the average score of the 36 golfers was between 70 and 71.

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 70

Standard Deviation, σ = 3

Sample size, n = 36

Let the average score of all pro golfers follow a normal distribution.

Formula:

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

P(score of the 36 golfers was between 70 and 71)

$\text{Standard error of sampling} = \displaystyle\frac{\sigma}{\sqrt{n}} = \frac{3}{\sqrt{36}} = \frac{1}{2}$

$P(70 \leq x \leq 71) = P(\displaystyle\frac{70 - 70}{\frac{3}{\sqrt{36}}} \leq z \leq \displaystyle\frac{71-70}{\frac{3}{\sqrt{36}}}) = P(0 \leq z \leq 2)\\\\= P(z \leq 2) - P(z \leq 0)\\= 0.977 - 0.500 = 0.477= 47.7\%$

$P(70 \leq x \leq 71) = 47.7\%$

0.477 is the probability that the average score of the 36 golfers was between 70 and 71.

8 0

3 years ago

A display of seed packets contains 24 zucchini seed packets and 28 other seed packets. What is the probability that a randomly s

Nonamiya [84]

Answer:

The probability is 6/13

Step-by-step explanation:

Number of zucchini seed packets = 24

Number of other seed packets = 28

Total number of packets = 24 + 28 = 52

Probability is given by

$P(E)=\frac{n(E)}{n(s)}\\\\n(E)=24,n(s)=52\\P(E)=\frac{24}{52}\\\\P(E)=\frac{6}{13}$

Hence, the required probability is 6/13

3 0

3 years ago

The length of the line segment AB equals 3x+1 BC equals 4x-5 AC equals 8x-9

yanalaym [24]

Answer:

X = 5

Step-by-step explanation:

Here is what I am picturing (not to scale)

A ----------------B-----------C

We are given the information of AB (which equals 3x + 1), BC (which equals 4x - 5), and AC (which equals 8x - 9).

With reference to the line, AB + BC = AC

So,

3x + 1 + 4x - 5 = 8x - 9

7x - 4 = 8x - 9

5 = x

4 0

3 years ago

Brennan purchased an almond tart costing $18.56. He gave the cashier $19.55. How much change did the cashier give back to Brenna

11111nata11111 [884]

Answer:

0.99.

Step-by-step explanation:

7 0

3 years ago

A box contains 6 red pens and 4 blue pens. Cory randomly picks a pen from

Monica [59]

Answer:

Hay probabilidad

Step-by-step explanation:

porque hay mas boligrafos rojos que azules

4 0

3 years ago