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MariettaO [177]
3 years ago
12

Which equation can be solved by using this expression?

Mathematics
1 answer:
Marat540 [252]3 years ago
3 0

<u>Answer:</u>

The correct answer option is B. 2 = 3x + 10x^2

<u>Step-by-step explanation:</u>

We are to determine whether which of the given equations in the answer options can be solved using the following expression:

x=\frac{-3 \pm\sqrt{(3)^2+4(10)(2)} }{2(10)}

Here, a = 10, b = 3 and c=-2.

These requirements are fulfilled by the equation 4 which is:

12=3x+10x^2

Rearranging it to get:

10x^2+3x-2=0

Substituting these values of a,b,c in the quadratic formula:

x= \frac{-b \pm \sqrt{b^2-4ac} }{2a}

x= \frac{-3 \pm\sqrt{(3)^2-4(10)(-2)} }{y}

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Please explain step by step worth 20 points
ankoles [38]
Multipy $275 by the 4.5%
4.5%=.045 (just move the decimal 2 places left)
275*.045= 12.375  Susan gets $12.375 a year (don't round yet)
Multiply $12.375 by 5years          12.375*5= 61.875 (now round)
$61.90=B
I hope this helps! :)

5 0
3 years ago
Which statement accurately explains whether a reflection over the x-axis and a 180° rotation would map figure ACB
Eddi Din [679]

Answer: 360degree

Step-by-step explanation:

7 0
3 years ago
The average score of all golfers for a particular course has a mean of 75 and a standard deviation of 4. Suppose 64 golfers play
Vilka [71]

Answer:

0.0228 = 2.28% probability that the average score of the 64 golfers exceeded 76.

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 normally distributed samples are 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.

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.

In this problem, we have that:

\mu = 75, \sigma = 4, n = 64, s = \frac{4}{\sqrt{64}} = 0.5

Find the probability that the average score of the 64 golfers exceeded 76.

This is 1 subtracted by the pvalue of Z when X = 64.

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

By the Central Limit Theorem

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

Z = \frac{76 - 75}{0.5}

Z = 2

Z = 2 has a pvalue of 0.9772

1 - 0.9772 = 0.0228

0.0228 = 2.28% probability that the average score of the 64 golfers exceeded 76.

6 0
3 years ago
What is 2 15/16 Ian’s a decimal?
Arada [10]

Answer:

2.9375

Step-by-step explanation:

15 divided by 16 equals .9375 so 2 15/16 is 2.9375

5 0
3 years ago
27
katrin2010 [14]

Answer:

A  ≈ 35.3 units²

Step-by-step explanation:

Calculate the radius CB using Pythagoras' identity in the right triangle.

CB² + AB² = AC²

CB² + 6² = 9²

CB² + 36 = 81 ( subtract 36 from both sides )

CB²  = 45 = r²

Then area of quarter circle is

A = \frac{1}{4} × πr² = \frac{1}{4} × π × 45 ≈ 35.3

6 0
3 years ago
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