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3 years ago

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Mathematics

1 answer:

Gre4nikov [31]3 years ago

3 0

Answer:

1. (4,6)

2. (-1, 8)

3. Not enough information given.

Step-by-step explanation:

1. Reflecting the point over the y-axis will place the point (-4,6) 4 units on the other side of the axis. This would place it at (4,6) without changing the y-coordinate.

2. Reflections across the line y=x means y and x trade places. This will result in the point (8,-1) becoming (-1,8).

3. Not enough information about the shape is given. Need to know where it is now to know where it will go.

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Consider the continuous random variable x, which has a uniform distribution over the interval from 110 to 150. The probability t

Virty [35]

Answer:

The probability that x will take on a value between 120 and 125 is 0.14145

Step-by-step explanation:

For uniform distribution between a & b

Mean, xbar = (a + b)/2

Standard deviation, σ = √((b-a)²/12)

For 110 and 150,

Mean, xbar = (150 + 110)/2 = 130

Standard deviation, σ = √((150-110)²/12 = 11.55

To find the probability that x will take on a value between 120 and 125

We need to standardize 120 & 125

z = (x - xbar)/σ = (120 - 130)/11.55 = - 0.87

z = (x - xbar)/σ = (125 - 130)/11.55 = - 0.43

P(120 < x < 125) = P(-0.87 < x < -0.43)

We'll use data from the normal probability table for these probabilities

P(120 < x < 125) = P(-0.87 < x < -0.43) = P(z ≤ -0.43) - P(z ≤ -0.86) = 0.33360 - 0.19215 = 0.14145

Hope this Helps!!!

3 0

3 years ago

Can someone help me with this please

skad [1K]

Answer:

the answer is: 6z^3

Step-by-step explanation:

We need to solve this equation:

$\sqrt{36z^6}$

We know that 6X6 = 36

and √ = 1/2

Solving:

$=\sqrt{6*6*z*z*z*z*z*z}\\We\,\,know\,\,6X6=6^2\,\, and \,\,z*z=z^2\\=\sqrt{6^2*z^2*z^2*z^2} \\=(6^2)^{1/2}*(z^2)^{1/2}*(z^2)^{1/2}*(z^2)^{1/2}\\=6*z*z*z\\=6z^3$

So, the answer is: 6z^3

4 0

3 years ago

Find all solutions of the given system of equations and check your answer graphically. HINT [See Examples 1-4.] (If there is no

Likurg_2 [28]

Answer:

$Infinitely\ many\ solutions\ exist.\\\\Solutions\ are\ (x,\frac{3}{4}x-1)$

Step-by-step explanation:

$Given\ equations\ are\\\\3x-4y=4.................eq(1)\\\\9x-12y=12..............eq(2)\\\\divide\ eq(2)\ by\ 3\\\\\frac{1}{3}(9x-12y=12)\\\\\Rightarrow 3x-4y=4\\\\Hence\ equations\ represent\ the\ same\ line.\\Hence\ Infinitely\ many\ solutions\ exist.\\\\3x-4y=4\\\\4y=3x-4\\\\y=\frac{3}{4}x-1\\\\Solutions\ are\ (x,\frac{3}{4}x-1)$

3 0

2 years ago

If x / 2y = 0.4 , A / 5B = 0.25 Then A + y / 5 =…....

shusha [124]

Answer:

$\frac{x}{2y} = \frac{4}{10} \\ 8y = 10x \\ y = \frac{10x}{8} - - - - - 1 \\ \\ \frac{a}{5b} = \frac{25}{100} \\ \frac{a}{5b} = \frac{1}{4} \\ 4a = 5b \\ a = \frac{5b}{4} - - - 2 \\ \\ so \: \: \frac{a + y}{5} \\ = (a + y) \times \frac{1}{5} \\ = ( \frac{5b}{4} + \frac{5x}{4} ) \times \frac{1}{5} \\ = \frac{5b + 5x}{4} \times \frac{1}{5} \\ = \frac{5(b + x)}{4} \times \frac{1}{5} \\ = \frac{b + x}{4} \\ \\ so \: \: \: \frac{a + y}{5} = \frac{b + x}{4}$

6 0

2 years ago

Predict the number of seventh grade students in his school whose favorite beverage is milk.

loris [4]

Answer:

696 students.

Step-by-step explanation:

From the sample of students 58/125 of them like milk.

So we can predict that 1500 * 58/125 of the 1500 students like milk.

This comes to (1500/125) * 58

= 12 * 58

= 696.

4 0

2 years ago