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Elanso [62]
3 years ago
10

Y varies directly as the square x and inversely as z if y=12 when x=2 and z=7 find y when x=3 and z=9

Mathematics
1 answer:
mel-nik [20]3 years ago
8 0

Answer:

Step-by-step explanation:

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What's bigger 3.3 or 3.345
Archy [21]
3.345 becuase 3.3 could be 3.30 and the 5 can round the 4 up
6 0
4 years ago
Solve for x rounded to the nearest tenth.<br><br> sin 52 =x/7
babunello [35]

Answer:

6.9

Step-by-step explanation:

sin(52)=x

x=7sin(52)

6 0
3 years ago
Given below are seven observations collected in a regression study on two variables, x (independent variable) and y (dependent v
natka813 [3]

Answer:

Step-by-step explanation:

Hello!

Given the independent variable X and the dependent variable Y (see data in attachment)

The regression equation is

^Y= b₀ + bX

Where

b₀= estimation of the y-intercept

b= estimation of the slope

The formulas to manually calculate both estimations are:

b= \frac{sumXY-\frac{(sumX)(sumY)}{n} }{sumX^2-\frac{(sumX)^2}{n} }

b_0= \frac{}{y} - b*\frac{}{x}

n=7

∑X= 42

∑X²= 292

∑Y= 49

∑Y²= 403

∑XY= 249

\frac{}{y} = \frac{sumY}{n} = \frac{49}{7} = 7

\frac{}{x} = \frac{sumX}{n} = \frac{42}{7} = 6

b= \frac{249-\frac{42*49}{7} }{292-\frac{42^2}{7} }= -1.13

b_0= 7- (-1.13)*6= 13.75

^Y= 13.75 - 1.13X

Using the raw data you can calculate the coefficient of determination as:

R^2= \frac{b^2[sumX^2-\frac{(sumX)^2}{n} ]}{[sumY^2-\frac{(sumY)^2}{n} ]}

R^2= \frac{(-1.13)^2[292-\frac{(42)^2}{7} ]}{[403-\frac{(49)^2}{7} ]}= 0.84

This means that 84% of the variability of the dependent variable Y is explained by the response variable X under the model ^Y= 13.75 - 1.13X

I hope this helps!

6 0
4 years ago
Solve each system by using substitution <br> X= Y - 2 4X + Y = 2
yan [13]

Answer:

10

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
Betty tabulated the miles-per-gallon values for her car as 26.5, 28, 30.2, 29.6, 32.3, and 24.7. The sample standard deviation i
Viefleur [7K]

Answer:

3.188

Step-by-step explanation:

Given that :

Sample data: 26.5, 28, 30.2, 29.6, 32.3, 24.7

Sample standard deviation (s) = 2.728

Mean (mu) = 25

Tstatistic formula :

(x - mu) / (s/sqrt(n))

n = sample size = 6 ; s = 2.728 ; mu = 25

Sample mean (x) = (26.5 + 28 + 30.2 + 29.6 + 32.3 + 24.7) / 6

Sample mean (x) = 171.3 / 6 = 28.55

Tstatistic = (28.55 - 25) / (2.728 / sqrt(6))

Tstatistic = 3.55 / 1.1137013

Tstatistic = 3.1875692

3 0
3 years ago
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