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ser-zykov [4K]
1 year ago
12

-3p-4<6 help me please never done these before and teacher isn’t at school to ask!!!

Mathematics
1 answer:
tia_tia [17]1 year ago
7 0

Answer:

p>-1/3

Step-by-step explanation:

-3p-4<6

+4 +4

-------------

-3p<10

Divide -3 on both sides and you get something like p>-1/3 because you have to flip the sign.

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Perform the indicated operations. Write the answer in standard form, a+bi.<br> (5 + 6i)(5 - 6i)
lubasha [3.4K]

\boxed{\underline{\bf \: ANSWER}}

\sf \: ( 5 + 6 i ) ( 5 - 6 i )

Multiply complex numbers 5+6i and 5-6i in the same way as you multiply binomials.

\dashrightarrow \sf 5\times 5+5\times \left(-6i\right)+6i\times 5+6\left(-6\right)i^{2}

By definition, i² is -1.

\dashrightarrow \sf 5\times 5+5\times \left(-6i\right)+6i\times 5+6\left(-6\right)\left(-1\right)

Do the multiplications.

\dashrightarrow \sf \: 25-30i+30i+36

Now cancel -30i & +30i

\dashrightarrow \sf \: 25 \:  \bcancel{- 30i}  \:  +  \: \bcancel{30i}+36

Now the equation becomes

\dashrightarrow \sf \: 25 \:  + 36 \\ \dashrightarrow  \boxed{\bf \: 61}

________

Hope it helps.

ŕάίήвόώşάĻţ2²2²

5 0
3 years ago
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Simplify the equation given in the image
IRINA_888 [86]

Answer:

b^20/a^12

Step-by-step explanation:

b to the power of 20 over a to the power of 12

6 0
3 years ago
Use the quadratic formula to solve x2 – 3x - 2 = 0.
r-ruslan [8.4K]

Answer:

x = 2 , 1

Step-by-step explanation:

6 0
2 years ago
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At a new exhibit in the Museum of Science, people are asked to choose between 94 or 220 random draws from a machine. The machine
Tresset [83]

Answer:

0.0869 = 8.69% probability of getting more than 61% green balls.

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the z-score 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 p-value, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean \mu and standard deviation \sigma, the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean \mu and standard deviation s = \frac{\sigma}{\sqrt{n}}.

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean \mu = p and standard deviation s = \sqrt{\frac{p(1-p)}{n}}

The machine is known to have 99 green balls and 78 red balls.

This means that p = \frac{99}{99+78} = 0.5593

Mean and standard deviation:

\mu = p = 0.5593

s = \sqrt{\frac{p(1-p)}{n}} = \sqrt{\frac{0.5593*0.4407}{99+78}} = 0.0373

a. Calculate the probability of getting more than 61% green balls.

This is 1 subtracted by the pvalue of Z when X = 0.61. So

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

By the Central Limit Theorem

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

Z = \frac{0.61 - 0.5593}{0.0373}

Z = 1.36

Z = 1.36 has a pvalue of 0.9131

1 - 0.9131 = 0.0869

0.0869 = 8.69% probability of getting more than 61% green balls.

8 0
2 years ago
Using the temperature conversion tables below, what is 50°F in degree Celsius?
vfiekz [6]

Answer:

The answer to your question is:

Step-by-step explanation:

Convert 50°F to Celsius

Formula

                  °C = (°F - 32) x 0.56

Process

                   °C = (50 - 32) x 0.56

                  °C = 18 x 0.56

                  °C = 10.08

6 0
2 years ago
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