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ludmilkaskok [199]
2 years ago
11

X^2 - 16 = 0 by extracting the square root​

Mathematics
1 answer:
scoray [572]2 years ago
6 0

Answer:

  • {-4, 4}

Step-by-step explanation:

  • x² - 16 = 0
  • x² = 16
  • x = √16
  • x = ± 4
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May B. Luckie tosses a dart at the April calendar on the wall. What are the ODDS that the dart hits a date that is a prime numbe
meriva

Answer:

The ODDS that the dart hits a date that is a prime number are 1:1

Step-by-step explanation:

Odds:

An odd is writen as:

Number of desired outcomes: Number of undesired outcomes.

In this question:

April has 30 days, 15 of which are prime numbers and 15 of which are odd numbers.

So the odds are:

15:15

Simplifying by 15

1:1

The ODDS that the dart hits a date that is a prime number are 1:1

5 0
2 years ago
Ellie has 12.5 pounds of potatoes to make mashed potatoes. She uses one-tenth as many pounds of butter as potatoes. How many pou
Oksana_A [137]
Pounds of butter=1/10 (potatoes)
                          =1/10 (12.5)
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6 0
3 years ago
Assume that adults have IQ scores that are normally distributed with a mean of 96 and a standard deviation of 15.7. Find the pro
astraxan [27]

Answer:

4.05% probability that a randomly selected adult has an IQ greater than 123.4.

Step-by-step explanation:

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.

In this question, we have that:

\mu = 96, \sigma = 15.7

Probability that a randomly selected adult has an IQ greater than 123.4.

This is 1 subtracted by the pvalue of Z when X = 123.4. So

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

Z = \frac{123.4 - 96}{15.7}

Z = 1.745

Z = 1.745 has a pvalue of 0.9595

1 - 0.9595 = 0.0405

4.05% probability that a randomly selected adult has an IQ greater than 123.4.

7 0
3 years ago
Multiple choice. A square floor mat has a side length of 22 m.
Usimov [2.4K]

Answer:

C

Step-by-step explanation:

.........................

6 0
2 years ago
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Jocelyn Clinton works for a company that uses a percentage method to compute income tax withheld. Jocelyn is single and claims o
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Jocelyn makes more than $195 but not over $645. The amount she has to pay is 15% of the excess of 196. Find this first via subtraction.

421 - 195 = $226 over 

Take 15% of this

226 x .15 = $33.9

The tax also includes a $14.4 addition to this 15%.

33.9 + 14.4 = $48.3 total income tax
6 0
3 years ago
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