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1 year ago

How do you factor 24a + 12b - 30?

Mathematics

2 answers:

makkiz [27]1 year ago

5 0

Answer:

6(4a+3b-5)

Step-by-step explanation:

They all share a common factor of 6 so we can factor out the six, 6(4a+3b-5)

pantera1 [17]1 year ago

5 0

Answer:

2a+b=5/2

Step-by-step explanation:

given the expression

24a + 12b - 30

Step one :

To solve this we need to look for a common factor

Here 6 is a common factor

So divide all through by 6

24a/6+12b/6-30/6

4a+2b-5

4a+2b=5

Step two :

We can still factor 2 out for the terms with variables

2(2a+b)=5

2a+b=5/2

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39,918.23 rounded to the nearest thousands is

olga nikolaevna [1]

Answer: 40,000

Step-by-step explanation:

4 0

2 years ago

(b) we often read that iq scores for large populations are centered at 100. what percent of these 78 students have scores above

ss7ja [257]

As IQ scores for extensive populaces are focused at 100, the mean = 100.
There ought to be around half scores above or underneath the mean score since mean and middle is about a similar when the populace is substantial.
P(x > 100) = P( z> (100 - 100)/sd ) = P(z > 0)= 0.5
The number of the student who has scored over 100 = 0.5 x 78 = 39 Therefore the answer is 39 students.

4 0

1 year ago

What is the common ratio between successive terms in the sequence 1.5, 1.2, 0.96, 0.768

Pani-rosa [81]

Answer:

To determine the common ratio of a geometric sequence. You just need to divide any two consecutive terms on it. You can see below that all of them have the same quotient.

1.2 / 1.5 = 0.8

0.96 / 1.2 = 0.8

0.768 / 0.96 = 0.8

Decimal form = 0.8

Fraction form = 4/5

Check:

1.5 x 0.8 = 1.2

1.5 x 4/5 = 6/5 = 1 1/5 = 1.2

Therefore, the common ratio between successive terms in the sequence? 1.5, 1.2, 0.96, 0.768 is 0.8 or 4/5.

6 0

2 years ago

Which equation combines with the given equation to form a system of equations with the solution x = 3 and y = 9? x + 2y = 21

max2010maxim [7]

Yes. x=3 and y =9 are the solutions.
Because if you change x=3 and y =9 ,you will have
3+2* 9 =21
3+18 =21
21 =21 (true)

6 0

2 years ago

Read 2 more answers

From a survey of coworkers you find that 32% of 150 have already received this year's flu vaccine. An approximate 98% confide

Artyom0805 [142]

Answer:

a) Narrower

b) Narrower

c) Wider

Step-by-step explanation:

We are given the following in the question:

Proportion of coworker who received flu vaccine = 32%

98% confidence interval: (0.231, 0.409)

Confidence interval:

$\hat{p}\pm z_{stat}\sqrt{\dfrac{\hat{p}(1-\hat{p})}{n}}$

a) Sample size had been 600 instead of 150

If we increase the sample size, thus the standard error of the interval decreases.

Since the standard error decreases, the confidence interval become narrower.

b) Confidence level had been 90% instead of 98%

As the confidence level increases, the confidence interval becomes narrower. This is due to a smaller value of z-statistic at 90% confidence level.

c) Confidence level had been 99% instead of 98%

As the confidence level increases, the width of the confidence interval increases and the confidence interval become wider. This is because of a larger value of z-statistic at 99% confidence interval.

4 0

2 years ago