All categories

3 years ago

What is the value of x in the equation 25x2 = 16?

Mathematics

2 answers:

valentina_108 [34]3 years ago

7 0

25x2 = 16
x^2 = 16/25
x^2 = 4^2/5^2
x = 4/5

zlopas [31]3 years ago

6 0

Answer:

The answer is

$x=(+/-)\frac{4}{5}$

Step-by-step explanation:

we have

$25x^{2}=16$

Solve for x

Divide by $25$ both sides

$25x^{2}/25=16/25$

$x^{2}=16/25$

Square root both sides

$x=(+/-)\sqrt{\frac{16}{25}}$

$x=(+/-)\frac{4}{5}$

You might be interested in

As Saturn revolves around the sun, it travels at a speed of approximately 6 miles per second. Convert this speed to miles per mi

leva [86]

Answer:

The answer is 21,600. If it travels 6 miles per second that in a minute it would travel 360 miles. You multilpy 360 times 6 and you get your answer of 21,600 miles.

Step-by-step explanation:

5 0

3 years ago

The mean of a population is 74 and the standard deviation is 15. The shape of the population is unknown. Determine the probabili

Lena [83]

Answer:

a) 0.0548 = 5.48% probability of a random sample of size 36 yielding a sample mean of 78 or more.

b) 0.9858 = 98.58% probability of a random sample of size 150 yielding a sample mean of between 71 and 77.

c) 0.5793 = 57.93% probability of a random sample of size 219 yielding a sample mean of less than 74.2

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.

The mean of a population is 74 and the standard deviation is 15.

This means that $\mu = 74, \sigma = 15$

Question a:

Sample of 36 means that $n = 36, s = \frac{15}{\sqrt{36}} = 2.5$

This probability is 1 subtracted by the pvalue of Z when X = 78. So

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

By the Central Limit Theorem

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

$Z = \frac{78 - 74}{2.5}$

$Z = 1.6$

$Z = 1.6$ has a pvalue of 0.9452

1 - 0.9452 = 0.0548

0.0548 = 5.48% probability of a random sample of size 36 yielding a sample mean of 78 or more.

Question b:

Sample of 150 means that $n = 150, s = \frac{15}{\sqrt{150}} = 1.2247$

This probability is the pvalue of Z when X = 77 subtracted by the pvalue of Z when X = 71. So

X = 77

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

$Z = \frac{77 - 74}{1.2274}$

$Z = 2.45$

$Z = 2.45$ has a pvalue of 0.9929

X = 71

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

$Z = \frac{71 - 74}{1.2274}$

$Z = -2.45$

$Z = -2.45$ has a pvalue of 0.0071

0.9929 - 0.0071 = 0.9858

0.9858 = 98.58% probability of a random sample of size 150 yielding a sample mean of between 71 and 77.

c. A random sample of size 219 yielding a sample mean of less than 74.2

Sample size of 219 means that $n = 219, s = \frac{15}{\sqrt{219}} = 1.0136$

This probability is the pvalue of Z when X = 74.2. So

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

$Z = \frac{74.2 - 74}{1.0136}$

$Z = 0.2$

$Z = 0.2$ has a pvalue of 0.5793

0.5793 = 57.93% probability of a random sample of size 219 yielding a sample mean of less than 74.2

5 0

3 years ago

Help ASAP!!!!! Can someone help me?? (And no I’m not gonna click a link)

Elena L [17]

Answer:

Sorry i couldnt upload the file i uploaded it onto a file host link is below

brainly.com

also im joking ;)

7 0

3 years ago

Read 2 more answers

The diameter of a circle on

Rama09 [41]

I’m pretty sure it’s c

6 0

3 years ago

Show how you can scaffold a grade 2 class to understand the following mathematics topic it’s concepts and application. 1.1.1 nam

stich3 [128]

The best way to scaffold a grade 2 class to understand the topics such as unitary fractions, fractions in diagrammatic form, write fractions as 1 half is by first explaining the definition then real life application including physical representation.

What is fraction?

A fraction is a portion of a whole or, more roughly, any number of equal pieces. The word fraction comes from the Latin word fractus, which meaning "broken." When expressed in common English, a fraction, such as one-half, eight-fifths, or three-quarters, specifies the number of components of a specific size. A common, vulgar, or simple fraction is one with a non-zero denominator that is displayed below (or after) the line on which the numerator is displayed. Examples of these fractions include 1/2 and 14/3. The uncommon fractions that use numerators and denominators are difficult fractions, compound fractions, and mixed numeral fractions.

Definition or explanation of the topics given in the question:

Unitary fractions or Unit fractions: A fraction with the number one in the numerator is known as a unit fraction in mathematics. Of all the equally sized portions of the whole, it symbolizes one shaded part. "Unit" refers to one.

For instance, 1/4 is the numerical representation of a pizza that has been divided into 4 equal portions, each of which is being consumed by one individual similarly if it got divided between 2 people it is represented as 1/2.

Recognize fractions in diagrammatic form: This could be done by showing the diagrams which contain boxes of two different colors which represents the numerator and denominator.

Write fractions as 1 half: The 1 half fractions are the fractions in which the denominator is twice the the numerator. That is any fraction in the form n\2n where, n = 1, 2, 3, 4.... is the 1 half fraction.

To know more about fraction, go to link

brainly.com/question/78672

#SPJ9

3 0

1 year ago