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allochka39001 [22]

3 years ago

8

Which two statements contradict each other? I. Jon, Elizabeth, and Franco read 27 books among them for a class. II. Franco read

6 books. III. None of the three students read more than 7 books.

1 answer:

Alex73 [517]3 years ago

6 0

Answer 1 & 3. If none of the students read over 7 books, there is no way for them to read 27 in total.

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When testing for differences between treatment means, a confidence interval is computed with __________________?

KIM [24]

The confidence interval is based on mean square error. T<span>he </span>mean squared error<span> (</span>MSE<span>) </span><span>of an </span>estimator<span> measures the </span>average<span> of the squares of the </span>errors<span> or </span>deviations.<span> MSE is calculated by the formula attached in the picture, where Xbar is a vector of predictions, X is the vector of predicted values. </span>

5 0

3 years ago

The one i chose is wrong i think help.

const2013 [10]

Answer:

You are correct

Step-by-step explanation:

collinear means that they are on the same line, so they are collinear because of the definition of collinear

7 0

3 years ago

Find sin(a)&cos(B), tan(a)&cot(B), and sec(a)&csc(B).

Reil [10]

Answer:

Part A) $sin(\alpha)=\frac{4}{7},\ cos(\beta)=\frac{4}{7}$

Part B) $tan(\alpha)=\frac{4}{\sqrt{33}},\ tan(\beta)=\frac{4}{\sqrt{33}}$

Part C) $sec(\alpha)=\frac{7}{\sqrt{33}},\ csc(\beta)=\frac{7}{\sqrt{33}}$

Step-by-step explanation:

Part A) Find $sin(\alpha)\ and\ cos(\beta)$

we know that

If two angles are complementary, then the value of sine of one angle is equal to the cosine of the other angle

In this problem

$\alpha+\beta=90^o$ ---> by complementary angles

so

$sin(\alpha)=cos(\beta)$

Find the value of $sin(\alpha)$ in the right triangle of the figure

$sin(\alpha)=\frac{8}{14}$ ---> opposite side divided by the hypotenuse

simplify

$sin(\alpha)=\frac{4}{7}$

therefore

$sin(\alpha)=\frac{4}{7}$

$cos(\beta)=\frac{4}{7}$

Part B) Find $tan(\alpha)\ and\ cot(\beta)$

we know that

If two angles are complementary, then the value of tangent of one angle is equal to the cotangent of the other angle

In this problem

$\alpha+\beta=90^o$ ---> by complementary angles

so

$tan(\alpha)=cot(\beta)$

<em>Find the value of the length side adjacent to the angle alpha</em>

Applying the Pythagorean Theorem

Let

x ----> length side adjacent to angle alpha

$14^2=x^2+8^2\\x^2=14^2-8^2\\x^2=132$

$x=\sqrt{132}\ units$

simplify

$x=2\sqrt{33}\ units$

Find the value of $tan(\alpha)$ in the right triangle of the figure

$tan(\alpha)=\frac{8}{2\sqrt{33}}$ ---> opposite side divided by the adjacent side angle alpha

simplify

$tan(\alpha)=\frac{4}{\sqrt{33}}$

therefore

$tan(\alpha)=\frac{4}{\sqrt{33}}$

$tan(\beta)=\frac{4}{\sqrt{33}}$

Part C) Find $sec(\alpha)\ and\ csc(\beta)$

we know that

If two angles are complementary, then the value of secant of one angle is equal to the cosecant of the other angle

In this problem

$\alpha+\beta=90^o$ ---> by complementary angles

so

$sec(\alpha)=csc(\beta)$

Find the value of $sec(\alpha)$ in the right triangle of the figure

$sec(\alpha)=\frac{1}{cos(\alpha)}$

Find the value of $cos(\alpha)$

$cos(\alpha)=\frac{2\sqrt{33}}{14}$ ---> adjacent side divided by the hypotenuse

simplify

$cos(\alpha)=\frac{\sqrt{33}}{7}$

therefore

$sec(\alpha)=\frac{7}{\sqrt{33}}$

$csc(\beta)=\frac{7}{\sqrt{33}}$

6 0

3 years ago

HELP PLS ASAP!!!! PLS

Reptile [31]

Answer:

x=3

Step-by-step explanation:

5 0

2 years ago

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A pine cone drops from a tree branch that is 36 feet above the ground. The function h = –16t2 + 36 is used. If the height h of t

scoray [572]

Notice that the height of the pine cone when it hits the ground is zero. So, to find the tame it takes for the pine cone to hit the ground, we just need to replace the height, $h$ , with 0 in the function, and solve for time $t$ :
$h=-16t^2+36$
$0=-16t^2+36$
$-36=-16t^2$
$t^2= \frac{-36}{-16}$
$t^2= \frac{9}{4}$
$t=(+/-) \sqrt{ \frac{9}{4} }$
$t=(+/-) \frac{3}{2}$
$t=(+/-)1.5$
Since time cannot be negative, the solution is $t=1.5$ seconds.

Since 1.5 second is significantly less than 2 seconds, we can conclude that <span>2 seconds is not a reasonable answer to this model.</span>

6 0

3 years ago

Read 2 more answers