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
Burka [1]
2 years ago
15

Simplify the expression 9t^2+14-17t+6t-8t^2

Mathematics
1 answer:
slamgirl [31]2 years ago
6 0

Answer:

t^2 - 11t + 14

Step-by-step explanation:

Begin by grouping like terms in 9t^2+14-17t+6t-8t^2.

First we have 9t^2 - 8t^2, or 1t^2.

Next, we have -17t + 6t, or -11t.

Last, we have the constant term 14.

The expression in simplified form is t^2 - 11t + 14.

You might be interested in
Which number is bigger, <br><br> square root of 24 <br> or <br> 4.256
mafiozo [28]

Answer:

The square root of 24

Step-by-step explanation:

The square root of 24 is about 4.899 which is greater than 4.256.

7 0
3 years ago
Read 2 more answers
What is the difference between volume and area? (this isnt for a test, im just wondering lol)
topjm [15]

Answer:

area is how big the surface is,volume is the capacity of the shape

7 0
2 years ago
A popular soft drink is sold in 2-liter (2000 milliliter) bottles. Because of variation in the filling process, bottles have a m
andrezito [222]

Answer:

a) 0.27% probability that the mean is less than 1995 milliliters.

b) 2002.3 milliliters or more will occur only 10% of the time for the sample of 100 bottles.

Step-by-step explanation:

To solve this problem, it is important to understand the normal probability distribution and the central limit theorem

Normal probability distribution

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.

Central Limit theorem

The Central Limit Theorem estabilishes that, for a random variable X, with mean \mu and standard deviation \sigma, a large sample size can be approximated to a normal distribution with mean \mu and standard deviation s = \frac{\sigma}{\sqrt{n}}

In this problem, we have that:

\mu = 2000, \sigma = 18

A) If the manufacturer samples 100 bottles, what is the probability that the mean is less than 1995 milliliters?

So n = 100, s = \frac{18}{\sqrt{100}} = 1.8

This probability is the pvalue of Z when X = 1995. So

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

By the Central Limit Theorem

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

Z = \frac{1995 - 2000}{1.8}

Z = -2.78

Z = -2.78 has a pvalue of 0.0027

So 0.27% probability that the mean is less than 1995 milliliters.

B) What mean overfill or more will occur only 10% of the time for the sample of 100 bottles?

This is the value of X when Z has a pvalue of 1-0.1 = 0.9.

So it is X when Z = 1.28

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

1.28 = \frac{X - 2000}{1.8}

X - 2000 = 1.8*1.28

X = 2002.3

2002.3 milliliters or more will occur only 10% of the time for the sample of 100 bottles.

3 0
2 years ago
PLEASE HELP ME PLEASE
Rama09 [41]

Answer:

Option B. 3/4 > 2/3 is the correct answer.

Step-by-step explanation:

Lets look at the options one by one

A. 1/2 < 1/3

This inequality converts into 0.5<0.33 which is false.

B. 3/4 > 2/3

This simplifies to 0.75>0.666 which is true.

C. -1/4 < - 2/3

This converts to -0.25<-0.666 which makes the inequality false.

D. -1 > 3/4​

This converts to -1>0.75 which makes the inequality false.

Hence,

Option B. 3/4 > 2/3 is the correct answer.

5 0
3 years ago
Read 2 more answers
Round 17,519 to the underlined place value.<br><br> 17,500<br> 20,000<br> 18,000<br> 17,000
Ira Lisetskai [31]
17500 i think but u didn’t give enough info so it could be any without the extra info
5 0
2 years ago
Other questions:
  • What are the first four multiples of 25?! <br><br> PLEASE HELP MEEE
    6·2 answers
  • Write the expression for the nth term for m9, -27, 81
    13·1 answer
  • A swimmer swam 48 kilometers in d days. What is the value of d the swimmer swam an average of average of 3.2 kilometers daily?
    10·1 answer
  • There are 49 students on the school bus, 35 girls and 14 boys. What is the ratio of girls to boys on the school bus?
    13·2 answers
  • Which of the following is the point of concurrency of the medians of the triangle?
    8·1 answer
  • Jean needs to rent a car for an upcoming buiness trip. The cost per day for the car is $30, and the one-time-refueling cost upon
    11·1 answer
  • HELPPPPPPPPPPP
    13·1 answer
  • Find the value of x with explanation please
    5·1 answer
  • HEEELLPPPPPPPPP PLEAS
    14·2 answers
  • 1.) Jacob bought a total of 9 pizzas for his class party. The amount of
    5·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!