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3 years ago

A rectangle has a length of 6 centimeters and a width of X+10 centimeters. Write an

Mathematics

2 answers:

julsineya [31]3 years ago

5 0

Answer:

X+16cm

Step-by-step explanation:

perimeter of rectangle=l+b

6+x+10cm

X+16cm

Ivahew [28]3 years ago

3 0

Answer:

2(6) + 2(x + 10)

hope this helps <3

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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 - <em>α</em>)% 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 <em>t</em> 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

Subtract and reduce: 2 2/3 - 1 1/2

babunello [35]

Step-by-step explanation:

I used a calculator but the answer is 1 1/6

5 0

3 years ago

Assume that the weight of two year old babies have distribution that is approximately normal with a mean of 29 pounds and a stan

Lana71 [14]

Answer:

25.15 ponds is the weight of two year old baby corresponds to 10th percentile.

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 29 pounds

Standard Deviation, σ = 3 pounds

We are given that the distribution of weight of two year old babies is a bell shaped distribution that is a normal distribution.

Formula:

$z_{score} = \displaystyle\frac{x-\mu}{\sigma}$

We have to find the value of x such that the probability is 0.10

P(X < x)

$P( X < x) = P( z < \displaystyle\frac{x - 29}{3})=0.10$

Calculation the value from standard normal z table, we have,

$P(z < -1.282) = 0.10$

$\displaystyle\dfrac{x - 29}{3} = -1.282\\x = 25.154 \approx 25.15$

Thus, 25.15 ponds is the weight of two year old baby corresponds to 10th percentile.

5 0

3 years ago

Which expression is equivalent to 36x2 − 25? Pick One

kondaur [170]

Answer:

Your answer is D.

36x2-25 is equivalent to (6x)2-(5)2

Step-by-step explanation:

Simple solution: Put each equation into a graphing calculator and look at the tables, they are exactly the same.

6 0

3 years ago

Read 2 more answers

If Tucsos average rainfall is 12 1/4 inches and yumas is 3 3/5 inches, how much more rain, on the average, does Tucson get than

Taya2010 [7]

12 1/4 - 3 3/5 =
49/4 - 18/5 =
245/20 - 72/20 =
173/20 =
8 13/20

5 0

3 years ago