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2 years ago

Answer Part A and Part B for the triangle shown

Mathematics

1 answer:

Tom [10]2 years ago

5 0

Answer:

for Part A

Answer is C.

Step-by-step explanation:

$\tan(a) = \frac{opposite}{adjacent } \\$

Here the angle, a is 60°, Opposite is 20 and adjacent is x.

Therefore we have,

$\tan(60 ) = \frac{20}{x}$

Making x the subject gives us

$x = \frac{20}{ \tan(60) }$

Part B

Value of x to the nearest tenth

$x = 11.547 \\ to \: the \: nearest \: tenth \\ x = 12$

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Let f(x)=16^x, find f(1/4)

sergejj [24]

Answer:

Step-by-step explanation:

$f( \frac{1}{4} ) = {16}^{ \frac{1}{4} } = \sqrt[4 ]{16} = 2$

That's it, hope you enjoyed it.

6 0

3 years ago

Consider the following hypothesis test.H0:μ1−μ2=0 Ha:μ1−μ2≠0The following results are for two independent samples taken from the

Julli [10]

Answer:

a) $z =\frac{104-106}{\sqrt{\frac{8.4^2}{80} +\frac{7.6^2}{70}}}= -1.53$

b) $p_v =2*P(z$

c) Since the p value is higher than the significance level provided we have enogh evidence to FAIL to reject the null hypothesis and we can't conclude that the true means are different at 5% of significance

Step-by-step explanation:

Information given

$\bar X_{1}= 104$ represent the mean for 1

$\bar X_{2}= 106$ represent the mean for 2

$\sigma_{1}= 8.4$ represent the population standard deviation for 1

$\sigma_{2}= 7.6$ represent the population standard deviation for 2

$n_{1}=80$ sample size for the group 1

$n_{2}=70$ sample size for the group 2

z would represent the statistic

Hypothesis to test

We want to check if the two means for this case are equal or not, the system of hypothesis would be:

H0: $\mu_{1}=\mu_{2}$

H1: $\mu_{1} \neq \mu_{2}$

The statistic would be given by:

$z =\frac{\bar X_1-\bar X_2}{\sqrt{\frac{\sigma^2_1^2}{n_1} +\frac{\sigma^2_2^2}{n_2}}}=$ (1)

Part a

Replacing we got:

$z =\frac{104-106}{\sqrt{\frac{8.4^2}{80} +\frac{7.6^2}{70}}}= -1.53$

Part b

The p value would be given by this probability:

$p_v =2*P(z$

Part c

Since the p value is higher than the significance level provided we have enogh evidence to FAIL to reject the null hypothesis and we can't conclude that the true means are different at 5% of significance

6 0

3 years ago

for some real number A, the graph of the line Y=(A+1)x+8 in the standard (x,y) coordinate plane passes through (2,6). What is th

kondaur [170]

Answer:

-1

Step-by-step explanation:

The given equation has a y-intercept of 8, so goes through the point (0, 8).

If the line also goes through the point (2, 6) it has a slope of ...

(y2 -y1)/(x2 -x1) = (6 -8)/(2 -0) = -2/2 = -1

The slope of the line is -1.

_____

The value of A is -2.

8 0

3 years ago

What is the least common multiple of 15 and 6?<br><br> Take notes and show your work.

Mariulka [41]

Hello!

The least common multiple is 3

Hope this helps!

4 0

3 years ago

Can some one help plz

Naddika [18.5K]

The rectangle i would say is a parallelogram. Since a parallelogram has sides that are parallel which explains the name: parallelogram :) :D

5 0

3 years ago

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