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3 years ago

The total number of candles Jaime has blown out in his life equals the sum of the arithmetic series 0+2+3+4+5+6+7+9

Mathematics

1 answer:

Bas_tet [7]3 years ago

5 0

Answer:

Step-by-step explanation:

Use the Gauss method and pair the numbers:

0+9=9

2+7=9

3+6=9

4+5=9

You have a total of 4 9's. So, 9x4=36

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Ten college students were randomly selected. Their grade point averages (GPAs) when they entered the program were between 3.5 a

solong [7]

Answer:

The 95% confidence interval for the true slope is (0.03985, 0.14206).

Step-by-step explanation:

For the regression equation:

$\hat y=\alpha +\hat \beta x$

The (1 - α)% confidence interval for the regression coefficient or slope $(\hat \beta )$ is:

$Ci=\hat \beta \pm t_{\alpha/2, (n-2)}\times SE(\hat \beta )$

The regression equation for current GPA (Y) of students based on their GPA's when entering the program (X) is:

$\hat Y=3.584756+0.090953 X$

The summary of the regression analysis is:

Predictor Coefficient SE t-stat p-value

Constant 3.584756 0.078183 45.85075 5.66 x 10⁻¹¹

Entering GPA 0.090953 0.022162 4.103932 0.003419

The regression coefficient and standard error are:

$\hat \beta = 0.090953\\SE (\hat \beta)=0.022162$

The critical value of t for 95% confidence level and 8 degrees of freedom is:

$t_{\alpha/2, n-2}=t_{0.05/2, 10-2}=t_{0.025, 8}=2.306$

Compute the 95% confidence interval for $(\hat \beta )$ as follows:

$CI=\hat \beta \pm t_{\alpha/2, (n-2)}\times SE(\hat \beta )\\=0.090953\pm 2.306\times 0.022162\\=0.090953\pm 0.051105572\\=(0.039847428, 0.142058572)\\\approx (0.03985, 0.14206)$

Thus, the 95% confidence interval for the true slope is (0.03985, 0.14206).

6 0

3 years ago

Will mark brainliest plz help!

Elan Coil [88]

Answer:

Step-by-step explanation:

hope it helps

4 0

3 years ago

360,000 = X% of 4000000

shutvik [7]

Answer:9%

360,000 / 4000000=.09

.09x100= 9%

6 0

3 years ago

Read 2 more answers

Y=x-4 y=4x+2 whats the solution of system equations

Fittoniya [83]

Answer:

X=-2

Y=-6

Step-by-step explanation:

Since both equations are already expressed in the simplest form of y, then we equate them to be equal hence

x-4=4x+2

Bringing like terms together

-4-2=4x-x

Solving both sides

-6=3x

Making x the subject then

X=-6/3=-2

Subsrituting the value of x into any of the initial equations

Y=x-4 then y=-2-4=-6

Therefore, the solution is

X=-2

Y=-6

6 0

3 years ago

Write in exponential notation: 301=

dalvyx [7]

Answer:

$3.01 * 10^2$

Step-by-step explanation:

Hope this helps!

4 0

3 years ago