1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Alina [70]
3 years ago
7

(7x-49x^2)/(7x) can smeone solve this? Thank you! I hope you have a great day!

Mathematics
1 answer:
svp [43]3 years ago
3 0

Answer:

x = 1/7

Step-by-step explanation:

\frac{(7x-49x^2)}{7x}\\\\\frac{7x(1-7x)}{7x} \\\\1-7x=0\\\\1=7x\\\\

x = 1/7

You might be interested in
Given the expression 12C7, which of the following scenarios could this combination represent?
jok3333 [9.3K]

Answer: B

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

₁₂C₇ is read as "12 choose 7" which means you are choosing 7 out of 12. Since it is a combination and not a permutation, order does not matter.

6 0
3 years ago
Which of the following metals will react with water to produce a metal hydroxide and hydrogen gas? (2 points)
Lisa [10]
I think the correct answer from the choices listed above is option C. It is the metal Na that will react with water to produce a metal hydroxide and hydrogen gas. It reacts violently with water forming sodium hydroxide and the hydrogen gas.
8 0
3 years ago
Ricardo and Tammy practice putting golf balls. Ricardo makes 47% of his putts and Tammy makes 51% of her putts. Suppose that Ric
yaroslaw [1]

Answer:

0.3821 = 38.21% probability that Ricardo makes a higher proportion of putts than Tammy.

Step-by-step explanation:

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

Normal probability distribution

When the distribution is normal, we use 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.

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}}

Subtraction of normal variables:

When we subtract normal variables, the mean of the subtraction will be the subtraction of the means, while the standard deviation will be the square root of the sum of the variances.

Ricardo makes 47% of his putts, and attempts 25 putts.

By the Central Limit Theorem, we have that:

\mu_R = 0.47, s_R = \sqrt{\frac{0.47*0.53}{25}} = 0.0998

Tammy makes 51% of her putts, and attempts 30 putts.

By the Central Limit Theorem, we have that:

\mu_T = 0.51, s_T = \sqrt{\frac{0.51*0.49}{30}} = 0.0913

What is the probability that Ricardo makes a higher proportion of putts than Tammy?

This is the probability that the subtraction of R by T is larger than 0. The mean and standard deviation of this distribution are, respectively:

\mu = \mu_R - \mu_T = 0.47 - 0.51 = -0.04

s = \sqrt{s_R^2 + s_T^2} = \sqrt{0.0998^2 + 0.0913^2} = 0.1353

This probability is 1 subtracted by the pvalue of Z when X = 0. So

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

By the Central Limit Theorem

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

Z = \frac{0 - (-0.04)}{0.1353}

Z = 0.3

Z = 0.3 has a pvalue of 0.6179

1 - 0.6179 = 0.3821

0.3821 = 38.21% probability that Ricardo makes a higher proportion of putts than Tammy.

6 0
3 years ago
Read 2 more answers
Mario ran 10 miles in 1 hour and 15 minutes (1.25 hours). What was his average speed?
Sergio [31]

Answer:

2/3 of the students in a class are girls. if there are 20 boys in the class. then the totoal number of girls is

5 0
3 years ago
Read 3 more answers
X&lt;7, x=6<br> True or false<br><br> Help please
slamgirl [31]

Answer:

true

Step-by-step explanation:

if we say x is less than 7 and x is equal to 6 it makes sense that 6 is less than 7

4 0
2 years ago
Read 2 more answers
Other questions:
  • Kaylee and her mom went to the craft store to buy supplies to make a costume for kaylee school play. They needed 3 1/2yards of g
    9·1 answer
  • Please I need help in all of these!
    14·2 answers
  • Joe has 12 cups of soup in a pot. If he puts 1/4 cup of soup into each bowl, how many bowls will be used?
    6·1 answer
  • Is x = 7 a solution to the equation 3x = 21?<br><br> yes<br><br> no <br><br> WHICH ONE??
    10·2 answers
  • According to the survey described here, what was the sample of the survey? “A recent telephone survey of 900 teenagers aged 16 t
    12·1 answer
  • Using polar coordinates, evaluate the integral which gives the area which lies in the first quadrant below the line y=5 and betw
    15·1 answer
  • Is this congruent by SSS, SAS, AAS, ASA? :0000
    12·1 answer
  • Vhat is the value of x in the equation 3x - 2y = 18, when y= 27?
    14·2 answers
  • Find the value of x for which l||m
    15·2 answers
  • Which of the following statements best describes the solution to the problem below?
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!