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3 years ago

An abscissa point equal to the opposite of three quarters and ordinate equal to two

Mathematics

1 answer:

klemol [59]3 years ago

8 0

Answer:

P(- 3/4, 2)

Step-by-step explanation:

Translating statement

3/4 ... opposite = - 3/4

ordered 2

P(- 3/4, 2)

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Fluoxetine, a generic anti-depressant, claims to have, on average, at least 20 milligrams of active ingredient. An independent l

san4es73 [151]

Answer:

$t=\frac{18.7-20}{\frac{5}{\sqrt{80}}}=-2.326$

$df=n-1=80-1=79$

$p_v =P(t_{(79)}$

Step-by-step explanation:

Information given

$\bar X=18.7$ represent the sample mean for the content of active ingredient

$s=5$ represent the sample standard deviation for the sample

$n=80$ sample size

$\mu_o =20$ represent the value that we want to test

t would represent the statistic

$p_v$ represent the p value for the test

System of hypothesis

We need to conduct a hypothesis in order to check if the true mean for the active agent is at least 20 mg, the system of hypothesis would be:

Null hypothesis: $\mu \geq 20$

Alternative hypothesis: $\mu < 20$

The statistic would be:

$t=\frac{\bar X-\mu_o}{\frac{s}{\sqrt{n}}}$ (1)

Now we can calculate the statistic:

$t=\frac{18.7-20}{\frac{5}{\sqrt{80}}}=-2.326$

P value

The degrees of freedom are calculated like this:

$df=n-1=80-1=79$

Since is a one left tailed test the p value would be:

$p_v =P(t_{(79)}$

6 0

3 years ago

How do you solve the following equation: 5-(2x-3)=-8+2x

kirza4 [7]

I believe it would be done like this:
subtract 2x-8 from both sides. then use cubric formula.
answer should be x= 1.688242

4 0

3 years ago

Directions: Find the volume of each figure. Round to the nearest tenth if necessary.

balu736 [363]

Answer:

Step-by-step explanation:

square-based pyramid:

volume V = (⅓)b²h

= (⅓)7²·16

≅ 261.3 ft³

:::::

Can't help with question 3. I haven't learned triangle-based pyramids.

:::::

cone:

volume V = ⅓πr²h

= ⅓π17²·20

= 6052.8 yd³

:::::

can't help with question 7. Never did this kind of pyramid.

3 0

2 years ago

Can anyone give me a hand with 7

erma4kov [3.2K]

The answer is 3.5 grams. 500 Milligrams is equal to half a gram.

5 0

3 years ago

Read 2 more answers

16) Please help with question. WILL MARK BRAINLIEST + 10 POINTS.

Katyanochek1 [597]

We will use the sine and cosine of the sum of two angles, the sine and consine of $\frac{\pi}{2}$ , and the relation of the tangent with the sine and cosine:

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

\cos(\alpha+\beta)=\cos\alpha\cdot\cos\beta-\sin\alpha\cdot\sin\beta$

$\sin\dfrac{\pi}{2}=1,\ \cos\dfrac{\pi}{2}=0$

$\tan\alpha = \dfrac{\sin\alpha}{\cos\alpha}$

If you use those identities, for $\alpha=x,\ \beta=\dfrac{\pi}{2}$ , you get:

$\sin\left(x+\dfrac{\pi}{2}\right) = \sin x\cdot\cos\dfrac{\pi}{2} + \cos x\cdot\sin\dfrac{\pi}{2} = \sin x\cdot0 + \cos x \cdot 1 = \cos x$

$\cos\left(x+\dfrac{\pi}{2}\right) = \cos x \cdot \cos\dfrac{\pi}{2} - \sin x\cdot\sin\dfrac{\pi}{2} = \cos x \cdot 0 - \sin x \cdot 1 = -\sin x$

Hence:

$\tan \left(x+\dfrac{\pi}{2}\right) = \dfrac{\sin\left(x+\dfrac{\pi}{2}\right)}{\cos\left(x+\dfrac{\pi}{2}\right)} = \dfrac{\cos x}{-\sin x} = -\cot x$

3 0

3 years ago