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
miskamm [114]
3 years ago
14

How do you use numerical expressions to solve real-world problems?

Mathematics
2 answers:
crimeas [40]3 years ago
7 0
You multiply 7 x 3 then navigate to answer x $8.50

PilotLPTM [1.2K]3 years ago
5 0
There are many ways to do this, if you wanted to write a numerical expression for: Lauren had $7 she babysits for three hours and earned $8.50 per hour, you would write 7+3x8.50=M. It is much shorter and makes much more sense to write this expression than to write a whole story
You might be interested in
Sy= 2x² - 6x+8<br> y=-2|x-1| +9<br> Solve plz
vampirchik [111]

Answer;

S = 2 ( ( − y + 11 2 , y − 7 2 ) 2 + 4 − 3 ( − y + 11 2 , y − 7 2 ) ) y   x = − y 2 + 11 2 x = y 2 − 7 2

Step-by-step explanation:

divide each term by y then simplify

4 0
2 years ago
Jill’s bowling scores are approximately normally distributed with mean 170 and standard deviation 20, while Jack’s scores are ap
miss Akunina [59]

Answer:

a) The probability of Jack scoring higher is 0.3446

b) They probability of them scoring above 350 is 0.2119

Step-by-step explanation:

Lets call X the random variable that determines Jill's bowling score and Y the random variable that determines jack's. We have

X \simeq N(170,400)\\Y \simeq N(160,225)

Note that we are considering the variance on the second entry, the square of the standard deviation.

If we have two independent Normal distributed random variables, then their sum is also normally distributed. If fact, we have this formulas:

N(\lambda_1, \sigma^2_1) + N(\lambda_2, \sigma^2_2) = N(\lambda_1 + \lambda_2,\sigma^2_1 + \sigma^2_2) \\r* N(\lambda_1, \sigma^2_1) = N(r\lambda_1,r^2\sigma^2_1)  

for independent distributions N(\lambda_1, \sigma^2_1) , N(\lambda_2, \sigma^2_2) , and a real number r.

a) We define Z to be Y-X. We want to know the probability of Z being greater than 0. We have

Z = Y-X = N(160,225) - N(170,400) = N(160,225) + (N(-170,(-1)^2 * 400) = N(-10,625)

So Z is a normal random variable with mean equal to -10 and vriance equal to 625. The standard deviation of Z is √625 = 25.

Lets work with the standarization of Z, which we will call W. W = (Z-\mu)/\sigma = (Z+10)/25. W has Normal distribution with mean 0 and standard deviation 1. We have

P(Z > 0) = P( (Z+10)/25 > (0+10)/25) = P(W > 0.4)

To calculate that, we will use the <em>known </em>values of the cummulative distribution function Φ of the standard normal distribution. For a real number k, P(W < k) = Φ(k). You can find those values in the Pdf I appended below.

Since Φ is a cummulative distribution function, we have P(W > 0.4) = 1- Φ(0.4)

That value of Φ(0.4) can be obtained by looking at the table, it is 0.6554. Therefore P(W > 0.4) = 1-0.6554 = 0.3446

As a result, The probability of Jack's score being higher is 0.3446. As you may expect, since Jack is expected to score less that Jill, the probability of him scoring higher is lesser than 0.5.

b) Now we define Z to be X+Y Since X and Y are independent Normal variables with mean 160 and 170 respectively, then Z has mean 330. And the variance of Z is equal to the sum of the variances of X and Y, that is, 625. Hence Z is Normally distributed with mean 330 and standard deviation rqual to 25 (the square root of 625).

We want to know the probability of Z being greater that 350, for that we standarized Z. We call W the standarization. W is s standard normal distributed random variable, and it is obtained from Z by removing its mean 330 and dividing by its standard deviation 25.

P(Z > 350) = P((Z  - 330)/25 > (350-330)/25) = P(W > 0.8) = 1-Φ(0.8)

The last equality comes from the fact that Φ is a cummulative distribution function. The value of Φ(0.8) by looking at the table is 0.7881, therefore P(X+Y > 350) = 1 - Φ(0.8) = 0.2119.

As you may expect, this probability is pretty low because the mean value of the sum of their combined scores is quite below 350.

I hope this works for you!

Download pdf
6 0
3 years ago
Graph it pleaseeeeeeeeeeeeeeeeeeeeeeeeeeee
mina [271]

Answer:

Step-by-step explanation:

5c + 4f ≥ 200

c + f ≤ 60

c > 0

f > 0

5 0
2 years ago
Choose the solutions to the quadratic equation x2 – 8x – 9 = 0. –21 –1 9 29
8090 [49]

Answer:

-1 and 9

Step-by-step explanation:

To solve the quadratic, factor and set its factors equal to 0. Factoring is the action of breaking up a polynomial into pieces which multiply to make it. The factors are found by multiplying numbers to make C and add to B of ax^2+bx+c.

Here c = -9 and b = -8. The numbers -9 and 1 multiply to -9 and add to -8. These are the factors (x-9)(x+1).

Set each equal to 0 and solve for x.

x-9 = 0

x = 9

x+1 =0

x = -1

6 0
3 years ago
Klara has 3 bowls. She puts 6 peaches in each bowl. She has 4 peaches left over. How many peaches did Klara start with in all?
shepuryov [24]

Answer:

22 peaches

Step-by-step explanation:

I hope this help! :)

5 0
2 years ago
Other questions:
  • The population of a town was 230000. For 12 years, the population grew 4% per year, compounded continuously. When was the popula
    13·1 answer
  • The box and whisker plot displays a set of data obtained from a marketing survey. Drag each item to the appropriate position on
    15·1 answer
  • A ship is 2.2° off course. If the ship is traveling at 18.0 miles per hour, how far off course will it be after 5 hours?
    15·1 answer
  • Calculate periodically compounded interest
    5·1 answer
  • Darren used this graph to compare two cell phone data plans.
    12·2 answers
  • Simple la siguiente expresión 3 a , cuando a = 7​
    9·1 answer
  • Help me find x, please
    7·1 answer
  • Factor 30-20 using gcf
    13·2 answers
  • A factory uses 1/6 of barrel of raisins in each batch of granola bars. Yesterday,the factory used 7/6 barrels of raisins. how ma
    12·1 answer
  • Please help! ( problem is in the picture)
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!