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vichka [17]
3 years ago
5

Find the value of x. A) 21 B) 27 C) 31 D) 34

Mathematics
2 answers:
Whitepunk [10]3 years ago
7 0
The answer is a, 21. 21x3 is 63. 63 + 1 = 64.
Likurg_2 [28]3 years ago
3 0

Answer: A) 21

Step-by-step explanation:

From the given figure, we can see that angles 64^{\circ} and (3x+1)^{\circ} are vertically opposite angles.

Since, vertically opposite angles are equal, therefore we have

64^{\circ}=(3x+1)^{\circ}\\\\\Rightarrow64=3x+1\\\\\text{Subtract 1 on both sides, we get}\\\\\Rightarrow3x=63\\\\\text{Divide 3 on both sides, we get}\\\\\Rightarrow x=21

Hence, the value of x = 21.

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Which rule matches the function shown on the table?
irina [24]

Answer:

First of all the rate of change is -2, so the answer would be y = x - 2

6 0
3 years ago
A car dealership sells 0, 1, or 2 luxury cars on any day. When selling a car, the dealer also tries to persuade the customer to
melisa1 [442]

Answer:

Mean = 1.42

Variance = 0.58

Step-by-step explanation:

Given: X denote the number of luxury cars sold in a given day, and Y denote the number of extended warranties sold.

Also, joint probability function of X and Y are given.

To find:

mean and variance of X

Solution:

From the given joint probability function of X and Y,

P(X=0)=\frac{1}{6}\\P(X=1)=\frac{1}{12}+\frac{1}{6}=\frac{1+2}{12}=\frac{3}{12}\\P(X=2)=\frac{1}{12}+\frac{1}{3}+\frac{1}{6}=\frac{1+4+2}{12}=\frac{7}{12}

Mean of X:

E(X)=\sum XP(X)\\=0\left ( \frac{1}{6} \right )+1\left ( \frac{3}{12} \right )+2\left ( \frac{7}{12} \right )\\=0+\frac{3}{12}+\frac{14}{12}\\=\frac{17}{12}=1.42

Variance of X:

E(X^2)=\sum X^2P(X)\\=0^2\left ( \frac{1}{6} \right )+1^2\left ( \frac{3}{12} \right )+2^2\left ( \frac{7}{12} \right )\\=0+\frac{3}{12}+\frac{28}{12}\\=\frac{31}{12}

var(X)=E\left [ X^2 \right ]-\left ( E\left [ X \right ] \right )^2\\=\frac{31}{12}-\left ( \frac{17}{12} \right )^2\\=\frac{31}{12}-\frac{289}{144}\\=\frac{372-289}{144}\\=\frac{83}{144}\\=0.58

5 0
3 years ago
An unknown capital gets added 5% interest per year by a bank. After how many years does the capital get three times as big, cons
shepuryov [24]

Answer:

After 23 years , the capital will get three times as big

Step-by-step explanation:

Firstly, let us write the compound interest formula

P = I( 1 + r)^n

Since we are considering a capital rise of 3 times

If I, the initial value is x, the P

value later will be 3x

Interest rate is 5/100 = 0.05

so we need the value of t

This will be;

3x = x(1 + 0.05)^t

3= 1.05^t

ln 3 = t ln 1.05

t = ln 3/ln 1.05

t = 23 years

6 0
2 years ago
If the number in the numerator of a unit rate is one what does this indicate about the equivalent unit rate
OleMash [197]
I don't know if this helps but an equivalent rate is:Rates that represent the same comparison; for example 90km
                    2h         Fraction<------
and 45km/h Confusing i know
7 0
3 years ago
Someone plz help because I am using my last amount of points and I don't want it to be wasted from no answer.I need help with qu
ser-zykov [4K]
Wheres the questions???
7 0
3 years ago
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