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Irina-Kira [14]

3 years ago

14

Help me please my test is tomorrow!

1 answer:

Marysya12 [62]3 years ago

4 0

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$4z + 2 = 10z - 1$

Add sides 1

$4z + 2 + 1 = 10z - 1 + 1$

$4z + 3 = 10z$

Subtract sides 4z

$- 4z + 4z + 3 = - 4z + 10z$

$3 = 6z$

$6z = 3$

Divide sides by 6

$\frac{6z}{6} = \frac{3}{6} \\$

$z = \frac{1}{2} \\$

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$3y = y + 3$

Subtract sides y

$- y + 3y = - y + y + 3$

$2y = 3$

Divide sides by 2

$\frac{2y}{2} = \frac{3}{2} \\$

$y = \frac{3}{2} \\$

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Thus the correct answer is :

$a) \: y = \frac{3}{2} \: , \: z = \frac{1}{2} \\$

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You work for a soft-drink company in the quality control division. You are interested in the standard deviation of one of your p

frutty [35]

Answer:

Step-by-step explanation:

weight (x) $( x - \overline x)^2$

12.05 0.00123

12 0.00019

11.96 0.00292

12.14 0.0159

12.12 0.00112

11.97 0.0019

11.96 0.0029

12.11 0.0092

11.94 0.0055

11.82 0.038

12 0.00019

12.18 0.028

11.91 0.0108

12.06 0.0021

11.99 0.0029

$\sum x = 180.21$ $\sum (x - \overline x)^2 = 0.12285$

Sample size = 15

$\overline x = \dfrac{180.21}{15} = 12.014$

Sample standard deviation

$x = \sqrt{\dfrac{0.12285}{15-1}}$

$x = 0.0937$

$\text{degree of freedom = n - 1}$

$degree of freedom = 15- 1=14$

$\text{confidence interval} \alpha = 1- 0.98 = 0.02 \\ \\ \alpha/2 = 0.02/2 = 0.01$

$From \ X^2 \ table}$ $\text{, the critical value} X^2 \text{=0.99 for degree of freedom =14 is given by : 4.660}$

$\text{, the critical value} X^2 \text{=0.01 for degree of freedom =14 is given by : 29.141}$

$\text{Thus, the lower limit = 4.660, the upper limit = 29.141}$

$\text{the confidence interval of the standard deviation} \ \sigma \ is:$

$\sqrt{\dfrac{(n -1)s^2}{X^2_{\dfrac{\sigma}{2}}} } \le \sigma \le \sqrt{\dfrac{(n -1)s^2}{X^2_{1-\dfrac{\sigma}{2}}} }$

replacing our values:

$\sqrt{\dfrac{(15 -1)0.0937^2}{29.141} } < \sigma$

$= 0.06495 < \sigma < 0.1624$

$\mathbf{Thus; \ \sigma (0.06495 , 0.1624)}$

3 0

3 years ago

ADDITION OF INTEGERS<br> 21) 2 +6+-6<br> A) 0<br> B) 8<br> C) 1 D) 2

MrMuchimi

Answer:

D

Step-by-step explanation:

add up the positives then subtract the negative

5 0

3 years ago

What is 48 to the square root of 9.5

Leokris [45]

48 divided by sqrt of 9.5 =

48 divided by 3.082207 = 15.57325643605378 is your answer

4 0

3 years ago

Simplify completely 2x-24 over 8

77julia77 [94]

Answer:

x-12/4

Step-by-step explanation:

hope its correct :-)

8 0

3 years ago

Verify the identity. 4 csc 2x = 2 csc2x tan x

vlada-n [284]

Step-by-step explanation:

$4csc(2x) = 2csc^2(x) tan(x)$

We start with Left hand side

We know that csc(x) = 1/ sin(x)

So csc(2x) is replaced by 1/sin(2x)

$4 \frac{1}{sin(2x)}$

Also we use identity

sin(2x) = 2 sin(x) cos(x)

$4 \frac{1}{2sin(x)cos(x)}$

4 divide by 2 is 2

Now we multiply top and bottom by sin(x) because we need tan(x) in our answer

$2\frac{1*sin(x)}{sin(x)cos(x)*sin(x)}$

$2\frac{sin(x)}{sin^2(x)cos(x)}$

$2\frac{1}{sin^2(x)} \frac{sin(x)}{cos(x)}$

We know that sinx/ cosx = tan(x)

Also 1/ sin(x)= csc(x)

so it becomes 2csc^2(x) tan(x) , Right hand side

Hence verified

6 0

3 years ago