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GenaCL600 [577]

3 years ago

8

The angles shown in the illustration are complementary. the measure of the larger angle is 30° more than three times the measure

of the smaller angle. find the measure of each angle.

1 answer:

Zinaida [17]3 years ago

8 0

Smaller angle is 15, larger angle is 75.

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Assume a significance level of alpha = 0.05 and use the given information to complete parts (a) and (b) below. Original claim

laiz [17]

Answer:

a

The correct option is B

b

The correct option is D

Step-by-step explanation:

From the question we are told that

The level of significance is $\alpha = 0.05$

The p-value is $p = 0.2761$

Considering question b

Given that the $p< \alpha$ then the null hypothesis is rejected

Considering question b

Given that the original claim is The standard deviation of pulse rates of a certain group of adult males is more than 11 bpm

Then the null hypothesis is $H_o : \sigma = 11$

The reason why the null hypothesis is write like this above is because a null hypothesis expression can not contain only a > or a < but only allows = $\le , \ and \ \ge$

and the alternative hypothesis is $H_a : \sigma > 11$

Now given that the null hypothesis is rejected, it mean that there is sufficient evidence to support original claim

4 0

3 years ago

The temperature function (in degrees Fahrenheit) in a three dimensional space is given by T(x, y, z) = 3x + 6y - 6z + 1. A bee i

madam [21]

You're looking for the extreme values of $T(x,y,z)=3x+6y-6z+1$ subject to $x^2+y^2+z^2=9$ . The Lagrangian is

$L(x,y,z,\lambda)=3x+6y-6z+1+\lambda(x^2+y^2+z^2-9)$

with critical wherever the partial derivatives vanish:

$L_x=3+2\lambda x=0\implies x=-\dfrac3{2\lambda}$

$L_y=6+2\lambda y=0\implies y=-\dfrac3\lambda$

$L_z=-6+2\lambda z=0\implies z=\dfrac3\lambda$

$L_\lambda=x^2+y^2+z^2-9=0$

Substituting the first three solutions into the last equation gives

$\dfrac9{4\lambda^2}+\dfrac9{\lambda^2}+\dfrac9{\lambda^2}=9$

$\implies\lambda=\pm\dfrac32$

$\implies x=1,y=2,z=-2\text{ or }x=-1,y=-2,z=2$

At these points, we have

$T(1,2,-2)=28$

$T(-1,-2,2)=-26$

so the highest temperature the bee can experience is 28º F at the point (1, 2, -2), and the lowest is -26º F at the point (-1, -2, 2).

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3 years ago

Can someone please help me with question 1, I will mark you as a brainest and I'll thank you

Leya [2.2K]

I believe it is 86.4

8 0

3 years ago

What is 36/40 simplified

fenix001 [56]

Answer: 9/10 is the answer.

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3 years ago

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Using synthetic division, find (2x4 + 4x3 + 2x2 + 8x + 8) ÷ (x + 2).

creativ13 [48]

The answer is 32x+8
————
x+2

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3 years ago