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
nadya68 [22]
2 years ago
15

Solve for a -4+2(3a-5)=(1-1a)

Mathematics
1 answer:
Kobotan [32]2 years ago
6 0
Distribute the two to each of the values in the parentheses.
-4 +6a-10= 1-1a

Then move like terms to the same side to simplify.
6a+1a=1+10+4
7a=15
a=15/7
You might be interested in
PLEASE HELP WILL MARK BRAINLIEST!
pav-90 [236]

Answer:

1, 5, 17, 53, 161

Step-by-step explanation:

Given:

  • a_1=1
  • a_n=3a_{n-1}+2

First five terms of the sequence:

a_1=1

a_2=3a_1+2=3(1)+2=5

a_3=3a_2+2=3(5)+2=17

a_4=3a_3+2=3(17)+2=53

a_5=3a_4+2=3(53)+2=161

7 0
2 years ago
Read 2 more answers
Johnny went to an apple farm to pick some apples. The admission to get in was $5.00 and the apples cost $0.75 per pound.
sasho [114]

Answer:

y=0.75x+5

Step-by-step explanation:

It would be this equation because you start at 5, which is the y-intercept, then you add 0.75 for every pound of apples. So on a graph you would start at 5 on the y-line then go up by 0.75

6 0
3 years ago
The inside diameter of a randomly selected piston ring is a random variable with mean value 8 cm and standard deviation 0.03 cm.
S_A_V [24]

Answer:

a) P(7.99 ≤ X ≤ 8.01) = 0.8164

b) P(X ≥ 8.01) = 0.0475.

Step-by-step explanation:

To solve this question, we have to understand the normal probability distribution and the central limit theorem.

Normal probability distribution:

Problems of normally distributed samples can be 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, the sample means with size n can be approximated to a normal distribution with mean

In this problem, we have that:

\mu = 8, \sigma = 0.03

(a) Calculate P(7.99 ≤ X ≤ 8.01) when n = 16.

n = 16, so s = \frac{0.03}{4} = 0.0075

This probability is the pvalue of Z when X = 8.01 subtracted by the pvalue of Z when X = 7.99. So

X = 8.01

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

Applying the Central Limit Theorem

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

Z = \frac{8.01 - 8}{0.0075}

Z = 1.33

Z = 1.33 has a pvalue of 0.9082

X = 7.99

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

Z = \frac{7.99 - 8}{0.0075}

Z = -1.33

Z = -1.33 has a pvalue of 0.0918

0.9082 - 0.0918 = 0.8164

P(7.99 ≤ X ≤ 8.01) = 0.8164

(b) How likely is it that the sample mean diameter exceeds 8.01 when n = 25? P(X ≥ 8.01) =

n = 25, so s = \frac{0.03}{5} = 0.006

This is 1 subtracted by the pvalue of Z when X = 8.01. So

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

Z = \frac{8.01 - 8}{0.006}

Z = 1.67

Z = 1.67 has a pvalue of 0.9525

1 - 0.9525 = 0.0475

P(X ≥ 8.01) = 0.0475.

4 0
3 years ago
-1/3 -(-5/12) which shows an equivalent addition expression
dem82 [27]

Answer:

-1/3 - (-5/12) = 1/12.

Step-by-step explanation:

Simpler equation:

6/12 + (-5/12) = 1/12

Or This:

6/12 - 5/12 = 1/12.

hope this helped.

5 0
2 years ago
Each unit cube measured 1 inch3. what is the maximum volume of the prims
Vesnalui [34]

Answer:

1 x 3 x 1 = 3

Step-by-step explanation:

4 0
2 years ago
Other questions:
  • If EF = (7x + 8), FG = (9x - 8), and EG = 128, find the values of x, EF, and FG.
    13·1 answer
  • 5) Is 3 a zero (or root) of f(x) = x3 - 9x2 + 11x + 21?
    5·1 answer
  • What are non examples of rational Numbers?
    13·2 answers
  • Can someone explain this to me please ​
    7·1 answer
  • Whats the answer <br> 3(4−x)=13+3x
    9·2 answers
  • Which of the following statements is true?
    12·1 answer
  • Please help asap 20 points
    6·2 answers
  • What's 12+30w <br> I don’t know what it is
    11·1 answer
  • Represent 5/8 on a number line please i'm confused
    8·1 answer
  • Find the derivative of 76x + 1 at x = 1.
    6·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!