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
IceJOKER [234]
3 years ago
14

6a+2b-6c+4 if a=5,b=3,and c=-1

Mathematics
2 answers:
Arisa [49]3 years ago
8 0

Answer:

46

Step-by-step explanation:

First, start off by substituting the values of a, b, and c, into the equation.

We know a = 5, b = 3, and c = -1, so now substitute.

6a + 2b - 6c + 4

6(5) + 2(3) - 6(-1) + 4

Now that we've substituted the values, we can solve the equation.

6(5) + 2(3) - 6(-1) + 4

30 + 6 + 6 + 4

= 46

So, the answer is 46.

I hope this helps! ôヮô

lys-0071 [83]3 years ago
6 0

Answer:

46

Step-by-step explanation:

All you need to do is subsitute the variable with what it says the number is.

Let's first start out with 6a from the equation.  We know that a= 5, so that means it wants you to multiply 6 by 5, which is 30.

Now let's do 2b.  It says b= 3, so do 2 times 3.  It equals 6.

<u>So far we have 30+6-6c+4</u>

Let's do -6c.  We know that c= -1, so let's multiply -1 and -6.  Negative and negative equals positive.  And 6 times 1 is 6.  So the outcome is positive 6.

We got <u>30+6+6+4</u>

Solve.  

30+6= 36

36+6= 42

And 42+4= 46.  :)

You might be interested in
2. Write 1.888... as a mixed number.
Flura [38]

i have this question rn please i need help by any chance if u got the answers

Step-by-step explanation:

7 0
3 years ago
During a promotional weekend, a state fair gives a free admission to every 179th person that enters the fair. On Saturday, there
V125BC [204]

Answer:

89

Step-by-step explanation:

Given that,

During a promotional weekend, a state fair gives a free admission to every 179th person that enters the fair.

No of people attending the fair on Saturday is 8,633 amd No of people attending the fair on Sunday is 7,400.

We need to find the no of people that received a free admission over the two days.

Dividing 8,633 by 179 gives 48 as quotient and 41 as remainder. It means on Saturday 48 people entered for free.

Dividing 7,400 by 179 gives 41 as quotient and 61 as remainder. It means on Sunday 41 people entered for free.

Total no of people,

T = 48 + 41

T = 89

Hence, there are 89 people for free entries.

6 0
3 years ago
. In a study of air-bag effectiveness it was found that in 821 crashes of midsize cars equipped with air bags, 46 of the crashes
jok3333 [9.3K]

Answer:

P(X ≤ 46 | X~B(821, 0.078)) = 0.00885745584

0.00885... < 0.01

The test statistic of 46 is significant

There is sufficient evidence to reject H₀ and accept H₁

Air bags are more effective as protection than safety belts

Step-by-step explanation:

821 crashes

46 hospitalisations where car has air bags

7.8% or 0.078 probability of hospitalisations in cars with automatic safety belts

α = 0.01 or 1% ← level of significance

One-tailed test

We are testing whether hospitalisations in cars with air bags are less likely than in a car with automatic safety belts;

The likelihood of hospitalisation in a car with automatic safety belts, we are told, is 7.8% or 0.078;

So we are testing if hospitalisations in cars with air bags is less than 0.078;

So, firstly:

Let X be the continuous random variable, the number of hospitalisations from a car crash with equipped air bags

X~B(821, 0.078)

Null hypothesis (H₀): p = 0.078

Alternative hypothesis (H₁): p < 0.078

According to the information, we reject H₀ if:

P(X ≤ 46 | X~B(821, 0.078)) < 0.01

To find P(X ≤ 46) or equally P(X < 47), it could be quite long-winded to do manually for this particular scenario;

If you are interested, the manual process involves using the formula for every value of x up to and including 46, i.e. x = 0, x = 1, x = 2, etc. until x = 46, the formula is:

P(X = r) = nCr * p^{r}  * (1 - p)^{n - r}

You can find binomial distribution calculators online, where you input n (i.e. the number of trials or 821 in this case), probability (i.e. 0.078) and the test statistic (i.e. 46), it does it all for you, which gives:

P(X ≤ 46 | X~B(821, 0.078)) = 0.00885745584

Now, we need to consider if the condition for rejecting H₀ is met and recognise that:

0.00885... < 0.01

There is sufficient evidence to reject H₀ and accept H₁.

To explain what this means:

The test statistic of 46 is significant according to the 1% significance level, meaning the likelihood that only 46 hospitalisations are seen in car crashes with air bags in the car as compared to the expected number in car crashes with automatic safety belts is very unlikely, less than 1%, to be simply down to chance;

In other words, there is 99%+ probability that the lower number of hospitalisations in car crashes with air bags is due to some reason, such as air bags being more effective as a protective implement than the safety belts in car crashes.

5 0
2 years ago
Suppose you pay $1.00 to roll a fair die with the understanding you will get $3.00 back rolling a 4 or a 2, and nothing otherwis
nikdorinn [45]

There are 2 chances out of 6 to win $3

Every 6 rolls you are expected to win $6

Every 3 rolls you are expected to win $3.

On average, even though it's impossible, every roll you would make $1.

6 0
2 years ago
Can any one help me 11 points no lnks pls. Just help with any of these
zvonat [6]

Answer:

5. m<1 = 114 degrees

   m<2 = 66 degrees

6. 2x + 3x + 4x = 9x = 180, x = 20

7. 3

8. 1/3

<em>Hope that helps!</em>

<em>-scsb</em>

Step-by-step explanation:

8 0
2 years ago
Read 2 more answers
Other questions:
  • Any suggestions on how to solve this? thanks ​
    8·1 answer
  • Please help ASAP!<br> 1. 83.40 divided by 12<br> 2. 53.2 divided by 4
    12·1 answer
  • A circular rug has a circumference of 12.56 feet. What is the area of the rug? (Use 3.14 for .) A. 6.28 square feet B. 25.12 squ
    12·1 answer
  • Solve for x:<br> Sin(2x-15)=Cos(x-12)
    6·1 answer
  • 4. The random variable x is the number of occurrences of an event over an interval of ten minutes. It can be assumed that the pr
    10·1 answer
  • How much would you need to deposit each month, if you were saving for a down payment on a car that you planned on buying in a ye
    6·1 answer
  • Mark made 7 withdrawals of $75 each from her bank account. What was the overall change in her account?
    12·1 answer
  • Find the value of x.
    5·1 answer
  • Help me ;-;(with image)
    7·1 answer
  • Plot −5/4 and it's opposite on the number line.
    6·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!