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scZoUnD [109]
3 years ago
9

What does x equal in y=|x| when y=-3

Mathematics
1 answer:
Simora [160]3 years ago
4 0
Replace all the variables that we know the value for.

-3 = |x|

Make to equations from this one.

-3 = x and -3 = -(x)

Solve the first one.

-3 = x
x = -3 <-- Switch it around

-3 = -(x)
-(x) = -3 <-- Switch it around
x = 3 <-- Divide both sides by -1

So, there are two possible answers, -3 and 3.
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Marks test scores for this semester were 83,80,91,74,66,95,87,72,95,97 what is the mode of his test scores
Vlada [557]

Answer:

95

Step-by-step explanation:

Mode is what is the most frequent number that occurred; 95 occurred the most from the data.

3 0
3 years ago
If sine of the quantity x plus y end quantity equals one half times sine of x plus radical 3 over 2 times cosine of x. What is t
miskamm [114]

The value of y from the given trig expression is pi/3 rad

<h3>Trigonometry identity</h3>

These identities are expressed in terms of sine, cosine and tangent

Given the expression

sin(x+y)=\frac{1}{2}sinx+\frac{\sqrt{3}}{2} cosx


Expand sin(x+y)

sin(x+y) = sinxcosy + cosxsiny

Compare both equations

cosy = 1/2

y = arccos(1/2)

y = 60 degrees

y = pi/3 rad

Hence the value of y from the given trig expression is pi/3 rad

Learn more on trig function here: brainly.com/question/24349828

#SPJ1

8 0
2 years ago
Suppose we roll a fair six-sided die 20 times and draw ten cards from a standard 52-card deck. Let X be the number of "6"s rolle
Lera25 [3.4K]

Answer:

a) Expected value = 6.406

Variance = 4.905

Standard deviation = 2.45

b) The probability is 0.08547

Step-by-step explanation:

a) Let's suppose that:

X₁ = number of 6´s

X₂ = number of Jack, Queen, King or Aces

The mean of X₁ is:

MeanX₁ = n * p = 20 * (1/6) = 3.33

The variance of X₁ is:

Var-X_{1} =np(1-p)=3.33(1-(1/6))=2.775

The mean of X₂ is:

MeanX₂ = 10 * (16/52) = 3.076

The variance of X₂ is:

Var-X_{2} =3.076(1-(16/52))=2.13

The expect value of X is:

Xexp = MeanX₁ + MeanX₂ = 3.33 + 3.076 = 6.406

The variance of X is:

VarX = VarX₁ + VarX₂ = 2.775 + 2.13 = 4.905

The standard deviation is:

Xdevi = 4.905/2 = 2.45

b) The probability of drawing at least five six out of 20 rolls is equal to:

∑(1/6)ˣ(5/6)²⁰⁻ˣ = 0.231 with x = 5

The probability of at least 4 Jack, Queen, Kings or Aces is:

∑(16/52)ˣ(1-(16/52))¹⁰⁻ˣ = 0.37 with x = 4

The probability of given event is equal to:

P = 0.231 * 0.37 = 0.08547

5 0
3 years ago
Please help meee!!! 11 points
Ludmilka [50]
Answer: The third answer Y = 2X + 3
7 0
3 years ago
George scored 70, 92, 70, 90, and 95 on five physics tests. The mean, median, and mode of his scores are given below. Mean = 83.
oksano4ka [1.4K]

Answer:

mean; the average of George's scores is the mean = 83.4

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
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