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
ziro4ka [17]
3 years ago
10

(SAT PREP) Find the value of x.

Mathematics
1 answer:
PilotLPTM [1.2K]3 years ago
5 0

Answer:

x=120 is the answer it is hard to described without name

You might be interested in
Polly's Polls asked 1850 second-year college students if they still had their original major. According to the colleges, 65% of
suter [353]

Answer:

The probability that Polly's Sample will give a result within 1% of the value 65% is 0.6424

Step-by-step explanation:

The variable that assigns the value 1 if a person had its original major and 0 otherwise is a Bernoulli variable with paramenter 0.65. Since she asked the question to 1850 people, then the number of students that will have their original major is a Binomial random variable with parameters n = 1850, p = 0.65.

Since the sample is large enough, we can use the Central Limit Theorem to approximate that random variable to a Normal random variable, which we will denote X.

The parameters of X are determined with the mean and standard deviation of the Binomal that we are approximating. The mean is np = 1850*0.65 = 1202.5, and the standard deviation is √np(1-p) = √(1202.5*0.35) = 20.5152.

We want to know the probability that X is between 0.64*1850 = 1184 and 0.66*1850 = 1221 (that is, the percentage is between 64 and 66). In order to calculate this, we standarize X so that we can work with a standard normal random variable W ≈ N(0,1). The standarization is obtained by substracting the mean from X and dividing the result by the standard deviation, in other words

W = \frac{X-\lambda}{\sigma} = \frac{X-1202.5}{20.5152}

The values of the cummulative function of the standard normal variable W, which we will denote \phi are tabulated and they can be found in the attached file.

Now, we are ready to compute the probability that X is between 1184 and 1221. Remember that, since the standard random variable is symmetric through 0, then \phi(-z) = 1-\phi(z) for each positive value z.

P(1184 < X < 1221) = P(\frac{1184-1202.5}{20.5152} < \frac{X-1202.5}{20.5152} < \frac{1221-1202.5}{20.5152})\\ = P(-0.9018 < W < 0.9018) = \phi(0.9018) - \phi(-0.9018) = \phi(0.9018)-(1-\phi(0.9018))\\ = 2\phi(0.9018)-1 = 2*0.8212-1 = 0.6424

Therefore, the probability that Polly's Sample will give a result within 1% of the value 65% is 0.6424.

Download pdf
4 0
3 years ago
Suppose you are the manager of a firm. The accounting department has provided cost​ estimates, and the sales department sales​ e
Katarina [22]

Answer:

<em>If more than 134 articles are produced and sold, the firm will have positive profits and shoule start production</em>

Step-by-step explanation:

Cost, Revenue, and Profit Function

The cost function C(x) is given by

C(x)=75x+3,350

where x is the number of produced products.

The revenue function is

R(x)=100x

With both equations, we can know the profit function as

P(x)=R(x)-C(x)

P(x)=100x-75x-3,350=25x-3,350

P(x)=25x-3,350

For the firm to have positive profits, it has to produce x articles with the condition

P(x)>0

Or, equivalently

P(x)=25x-3,350>0

Solving for x

\displaystyle x>\frac{3,350}{25}

Thus

x>134

This means that if more than 134 articles are produced and sold, the firm will have positive profits and shoule start production

6 0
3 years ago
Consider the following formula used to estimate height, h, of a seedling after w weeks since planting:
svp [43]

Answer:

Option B. w=5h-8

Step-by-step explanation:

we have

h=(\frac{1}{5})w+(\frac{8}{5})

Solve for w

That means ----> isolate the variable w

Multiply by 5 both sides to remove the fraction

5h=w+8

subtract 8 both sides

5h-8=w+8-8

5h-8=w

Rewrite

w=5h-8

4 0
3 years ago
Help me please 8th grade khan academy virticle angles
ivanzaharov [21]
The answer is 62^ it reflects angle IK
8 0
2 years ago
Figure A is a scale image of Figure B. What is the value of x?
kari74 [83]
The value of x is 72

Each side increased by 20%
8 0
2 years ago
Other questions:
  • To obtain the length of an arc, what fraction is multiplied by the circumference of a circle (C = 2πr)?
    7·2 answers
  • Help please with these problems
    12·2 answers
  • The equation tan(55) = 15/b can be used to find the length of line AC.what is the length of line AC round to the nearest 10th 3.
    11·2 answers
  • I'm stuck on a question I'm helping my brother with. We need to find out if y = -x squared is linear or not.
    11·1 answer
  • mr.barret bought a new battery for his new car. the battery cost $72. sincw batteries are a taxable item he had to pay 7.5%. wha
    8·2 answers
  • A billiard ball starts 86\,\text{cm}86cm86, start text, c, m, end text from the corner pocket, as shown. The ball rolls 120\,\te
    8·1 answer
  • Error error error error
    10·2 answers
  • Please solve this question thank you
    12·1 answer
  • Find the mean of 12 ,10,12,14,8,15,8,9,6,5​
    12·2 answers
  • Condense log₂ 4 + log₂ 5
    15·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!