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3 years ago

What is the length of XZ

Mathematics

1 answer:

Artemon [7]3 years ago

6 0

Answer:

$XZ=13\ units$

Step-by-step explanation:

we know that

In the right triangle of the figure XYZ

Applying the Pythagorean Theorem

$XZ^2=XY^2+YZ^2$

substitute the given values

$XZ^2=12^2+5^2$

$XZ^2=144+25$

$XZ^2=169$

square root both sides

$XZ=13\ units$

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PLEASE HELP ASAP

maria [59]

Answer:

First option: $3x^2-5x=-8$

Second option: $2x^2=6x-5$

Fourth option: $-x^2-10x=34$

Step-by-step explanation:

Rewrite each equation in the form $ax^2+bx+c=0$ and then use the Discriminant formula for each equation. This is:

$D=b^2-4ac$

1) For $3x^2-5x=-8$ :

$3x^2-5x+8=0$

Then:

$D=(-5)^2-4(3)(8)=-71$

Since $D$ this equation has no real solutions, but has two complex solutions.

2) For $2x^2=6x-5$ :

$2x^2-6x+5=0$

Then:

$D=(-6)^2-4(2)(5)=-4$

Since $D$ this equation has no real solutions, but has two complex solutions.

3) For $12x=9x^2+4$ :

$9x^2-12x+4=0$

Then:

$D=(-12)^2-4(9)(4)=0$

Since $D=0$ this equation has one real solution.

4) For $-x^2-10x=34$ :

$-x^2-10x-34=0$

Then:

$D=(-10)^2-4(-1)(-34)=-36$

Since $D$ , this equation has no real solutions, but has two complex solutions.

3 0

3 years ago

Let X denote the data transfer time (ms) in a grid computing system (the time required for data transfer) between a "worker" com

My name is Ann [436]

Answer:

a. The value of alpha is 3.014 and the value of beta is 12.442

b. The probability that data transfer time exceeds 50ms is 0.238

c. The probability that data transfer time is between 50 and 75 ms is 0.176

Step-by-step explanation:

a. According to the given data we have that the mean and standard deviation of the random variable X are 37.5 ms and 21.6.

Therefore, E(X)=37.5 and V(X)=(21.6)∧2

To calculate alpha we would have to use the following formula:

alpha=E(X)∧2/V(X)

alpha=(37.5)∧2/21.6∧2

alpha=1,406.25 /466.56

alpha=3.014

To calculate beta we would have to use the following formula:

β= V(X) ∧2/E(X)

β=(21.6) ∧2/37.5

β=466.56 /37.5

β=12.442

b. E(X)=37.5 and V(X)=(21.6)∧2

Therefore, P(X>50)=1−P(X≤50)

Hence, To calculate the probability that data transfer time exceeds 50ms we use the following formula:

P(X>50)=1−P(X≤50)

=1−0.762

=0.238

The probability that data transfer time exceeds 50ms is 0.238

c. E(X)=37.5 and V(X)=(21.6)∧2

Therefore, P(50<X<75)=P(X<75)−P(X<50)

Hence, To calculate the probability that data transfer time is between 50 and 75 ms we use the following formula:

P(50<X<75)=P(X<75)−P(X<50)

=0.938−0.762

=0.176

The probability that data transfer time is between 50 and 75 ms is 0.176

6 0

3 years ago

This figure is made up of a triangle and a semicircle. What is the area of the figure? Use 3.14 for π . Enter your answer, as a

lana66690 [7]

Area of ∆ = 1/2 times its base × height
=1/2 × 4 × 5 UNIT²
=10 unit²
Area of semicircle = πr²/2
= (3.14)(4)²/2
=25.12 unit²

Therefore area of figure= 10+25.12 unit² = 35.12 unit²

Hope it helps!

6 0

3 years ago

Read 2 more answers

Solve by completing the square.

enot [183]

Answer:

x^2 -8x -5 = -3

x^2 -8x -2 = 0

We complete the square by:

1) Moving the "non X" term to the right:

x^2 -8x = 2

2) Dividing the equation by the coefficient of X²

The coefficient of x is 1 so we don't do anything

3) Now here's the "completing the square" stage in which we:

• take the coefficient of X

that is -8

• divide it by 2

-8 ÷ 2 = -4

• square that number

-4*-4 = 16

• then add it to both sides of the equation.

x^2 -8x +16 = 2 +16

That becomes

(x -4)^2 = 18

we take the square root of both sides:

(x -4) = sqr root (18)

x1 = sqr root (18) +4

AND

(x+4) = sqr root (18) -4

x1 = sqr root (18) +4 = 4.2426406871 + 4 = 8.2426406871

x2 = sqr root (18) -4 = = 4.2426406871 - 4 = .2426406871

Step-by-step explanation:

8 0

3 years ago

a farmer wishes to test the effects of a new fertilizer on her wheat yield. she has four equal-sized plots of land-- one with sa

Fofino [41]

Using the concept of Randomized Design ,we got 4 levels of treatment heave been done by farmer in this experiment.

1.Completely Randomized Design :-

A completely randomized design is basically the simplest experimental design, in terms of data analysis and convenience. With this design, subjects are randomly assigned to treatments.

This completely randomized design actually relies on randomization to control for the effects of extraneous variables. The experimenter actually assumes that, on average, extraneous factors will affect treatment conditions equally; so any relevant differences between conditions can fairly be attributed to the independent variable.

2.Double Blind Design :-

In an experiment, if subjects in the control group knows that they are receiving a placebo, the placebo effect will be reduced or will be eliminated; and the placebo will not serve its intended control purpose.

Blinding is basically the practice of not telling subjects whether they are receiving a placebo. In this way, subjects which are in the control and treatment groups experience the placebo effect equally. Often, knowledge of which groups receive placebos is also keep from analysts who evaluate the experiment. This practice is called double blinding. It prevents the analysts from "spilling the beans" to the subjects through subtle cues; and it assures that their evaluation is not tainted by the awareness of actual treatment conditions.

3.Matched Pairs Design :-

A matched pairs design is actually a special case of a randomized block design. It can be used when the experiment has basically only two treatment conditions; and subjects can be grouped into pairs, on the basis of some blocking variable. Then, within each pair, subjects are randomly assigned to different treatments.

4.Randomized Block Design :-

With a randomized block design, the experimenter actually divides subjects into subgroups called blocks, such that the variability within blocks will become less than the variability between blocks. Then, subjects within each block are randomly assigned to treatment conditions.

Hence, we got 4 levels of treatment have been done by farmer in this experiment.

To know more about Randomized Design ,visit here:

brainly.com/question/17128981

#SPJ4

5 0

1 year ago