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aliina [53]
2 years ago
9

Solve the inequality 4/3 < -8/3y.

Mathematics
2 answers:
Kazeer [188]2 years ago
4 0

Answer:

The answer to this inequality is y < -1/2.

<em>Hope this could help you! (*^წ^*)</em>

tensa zangetsu [6.8K]2 years ago
4 0

Answer:

y

Step-by-step explanation:

\frac{4}{3}

-\frac{8}{3}y>\frac{4}{3}\\

\left(-\frac{8}{3}y\right)\left(-1\right)

\frac{8}{3}y

3\cdot \frac{8}{3}y

8y

\frac{8y}{8}

y

Hope this helps!

All the love, Ya boi Fraser :)

You might be interested in
Trigonometry
Nadusha1986 [10]

55° is equal to 0.9599 radians.  

Step-by-step explanation:  

Step 1:  

If an angle is represented in degrees, it will be of the form x°.  

If an angle is represented in radians, it will be of the form \frac{\pi}{x}radians.  

To convert degrees to radians, we multiply the degree measure by \frac{\pi}{180}.

For the conversion of degrees to radians,

the degrees in radians = (given value in degrees)(\frac{\pi}{180}).

Step 2:

To convert 50°,  

55\left(\frac{\pi}{180}\right)=\frac{55\pi}{180}.

0.3055 (\pi) =0.9599 radians.

So 55° is equal to 0.9599 radians.

7 0
3 years ago
Read 2 more answers
The probability of flu symptoms for a person not receiving any treatment is 0.038. In a clinical trial of a common drug used to
alexgriva [62]

Answer:

36.32% probability that at least 47 people experience flu symptoms. This is not an unlikely event, so this suggests that flu symptoms are not an adverse reaction to the drug.

Step-by-step explanation:

I am going to use the normal approximation to the binomial to solve this question.

Binomial probability distribution

Probability of exactly x sucesses on n repeated trials, with p probability.

Can be approximated to a normal distribution, using the expected value and the standard deviation.

The expected value of the binomial distribution is:

E(X) = np

The standard deviation of the binomial distribution is:

\sqrt{V(X)} = \sqrt{np(1-p)}

Normal probability distribution

Problems of normally distributed samples can be solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

When we are approximating a binomial distribution to a normal one, we have that \mu = E(X), \sigma = \sqrt{V(X)}.

In this problem, we have that:

n = 1164, p = 0.038

So

\mu = E(X) = np = 1164*0.038 = 44.232

\sigma = \sqrt{V(X)} = \sqrt{np(1-p)} = 6.5231

Estimate the probability that at least 47 people experience flu symptoms.

Using continuity correction, this is P(X \geq 47 - 0.5) = P(X \geq 46.5), which is 1 subtracted by the pvalue of Z when X = 46.5.

Z = \frac{X - \mu}{\sigma}

Z = \frac{46.5 - 44.232}{6.5231}

Z = 0.35

Z = 0.35 has a 0.6368

1 - 0.6368 = 0.3632

36.32% probability that at least 47 people experience flu symptoms. This is not an unlikely event, so this suggests that flu symptoms are not an adverse reaction to the drug.

6 0
2 years ago
PLEASE HELP‼
stellarik [79]

D. 75 cm

Step-by-step explanation:

fill in the y with 20.5, so you get 20.5=0.3x-2. Add the 2 to the 20.5 so you get 22.5=0.3x. Divide both by 0.3 to get 75=x.

sorry if it's a bd explanation, hope this helps :)

4 0
3 years ago
The coordinates of parallelogram PVWZ are P(0, 0), V(-p, q), and W(-p - r, q). Find the coordinates of Z without using any new v
Drupady [299]
For the answer to the question above asking to f<span>ind the coordinates of Z without using any new variables. 
</span>

Vector WZ equals vector VP, which is (p, -q) 
So Z is (-p - r + p, q - q) which is (-r, 0)
I hope my answer helped you. 

3 0
3 years ago
Read 2 more answers
In the diagram, mZXYZ = 115° and mZWXY = 45°.
Allushta [10]

Step-by-step explanation:

mXYZ+mXYW=180°(being straight angle)

mXYW =180-115

mXYW=65

now,

mXWY+mWXY+mXYW=180°(sum of angle of triangle)

mXWY=180-110

mXWY=70°

hope it helps.

4 0
2 years ago
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