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vesna_86 [32]
2 years ago
13

79=11x+13 Solve each equation by using the properties of equality and justify each step

Mathematics
2 answers:
neonofarm [45]2 years ago
8 0

Solution: X=6

Detailed explanation:

In this problem we're asked to find "x" or the unknown.

The first step is to subtract 11x from both sides.

---\mapsto\boldsymbol{-11x+79=13}

Next, subtract 79 from both sides.

---\mapsto\boldsymbol{-11x=-66}

To finish this off, divide both sides by -11.

---\mapsto\boldsymbol{x=6}

Voila! There's our answer!

<h2><em>Cheers!! ^-^</em></h2>

___________________

Hope I helped.  Best wishes.

Reach far. Aim high. Dream big.

___________________

aksik [14]2 years ago
4 0

\large\green\longrightarrow \tt \large \:79 \:  =  \: 11x \:  +  \: 13

\large\green\longrightarrow \tt \large \:79 \:  -  \: 13 \:  =  \: 11x

\large\green\longrightarrow \tt \large \:66 \:  =  \: 11x

\large\green\longrightarrow \tt \large \: \frac{ \cancel{66} \:   \: ^{ \pink6} }{ \cancel{11}}  \:  =  \: x \\

\large\green\longrightarrow \tt \large \:6 \:  =  \: x

Hence , the value of x is 6

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We wish to give a 90% confidence interval for the mean value of a normally distributed random variable. We obtain a simple rando
coldgirl [10]

Answer: (9.27025,\ 11.12975)

Step-by-step explanation:

Given : Sample size : n= 9

Degree of freedom = df =n-1 =8

Sample mean : \overline{x}=10.2

sample standard deviation : s= 1.5

Significance level ; \alpha= 1-0.90=0.10

Since population standard deviation is not given , so we use t- test.

Using t-distribution table , we have

Critical value = t_{\alpha/2, df}=t_{0.05 , 8}=1.8595

Confidence interval for the population mean :

\overline{x}\pm t_{\alpha/2, df}\dfrac{s}{\sqrt{n}}

90% confidence interval for the mean value will be :

10.2\pm (1.8595)\dfrac{1.5}{\sqrt{9}}

10.2\pm (1.8595)\dfrac{1.5}{3}

10.2\pm (1.8595)(0.5)

10.2\pm (0.92975)

(10.2-0.92975,\ 10.2+0.92975)

(9.27025,\ 11.12975)

Hence, the 90% confidence interval for the mean value= (9.27025,\ 11.12975)

6 0
3 years ago
X + 7y = 21<br> x + 4y = 15<br> Solve the simultaneous equations
Mariulka [41]

<u>Answer</u>:

x = 7, y = 2

<u>Explanation</u>:

equations given:

x + 7y = 21

x + 4y = 15

make "x" the subject:

x + 7y = 21

x = 21 - 7y .........equation 1

x + 4y = 15

x = 15 - 4y .......equation 2

Solving both the equations simultaneously:

15 - 4y = 21 - 7y

-4y + 7y = 21 - 15

3y = 6

y = 6 ÷ 3

y = 2

If y is 2

Then x = 21 -7y;

x = 21 - 7(2)

x = 21 - 14

x = 7

8 0
2 years ago
Read 2 more answers
If i had 33 watermelons in one hand and 21 apples in another <br> what do i have?
choli [55]

Answer:

Your hands full

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
Can someone help with this question
IrinaK [193]

210 - ( 30 * x )

**I assume the question asks for total minutes.

6 0
3 years ago
If θ=0rad at t=0s, what is the blade's angular position at t=20s
babunello [35]
The attached figure represents the relation between ω (rpm) and t (seconds)
To find the blade's angular position in radians ⇒ ω will be converted from (rpm) to (rad/s)
              ω = 250 (rpm) = 250 * (2π/60) = (25/3)π    rad/s
              ω = 100 (rpm) = 100 * (2π/60) = (10/3)π    rad/s

and from the figure it is clear that the operation is at constant speed but with variable levels
            ⇒   ω = dθ/dt   ⇒   dθ = ω dt

            ∴    θ = ∫₀²⁰  ω dt  
 
while ω is not fixed from (t = 0) to (t =20)
the integral will divided to 3 integrals as follow;
       ω = 0                                          from t = 0  to t = 5
       ω = 250 (rpm) = (25/3)π            from t = 5   to t = 15
       ω = 100 (rpm) = (10/3)π            from t = 15 to t = 20

∴ θ = ∫₀⁵  (0) dt   + ∫₅¹⁵  (25/3)π dt + ∫₁₅²⁰  (10/3)π dt
     
the first integral = 0
the second integral = (25/3)π t = (25/3)π (15-5) = (250/3)π
the third integral = (10/3)π t = (25/3)π (20-15) = (50/3)π

∴ θ = 0 + (250/3)π + (50/3)π = 100 π

while the complete revolution = 2π
so instantaneously at t = 20
∴ θ = 100 π - 50 * 2 π = 0 rad

Which mean:
the blade will be at zero position making no of revolution = (100π)/(2π) = 50
















3 0
3 years ago
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