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3 years ago

. Identify this sequence: 12, 19, 26, 33, 40, 47. The next term is ______.

Mathematics

2 answers:

ra1l [238]3 years ago

6 0

Answer:

This is a really simple question!

Step-by-step explanation:

What you need to do in order to identify the sequence is, subtract the number after the first. So an example is, 19-12=7, then 26-19=7, and 33-26=7, so on so on. But every time you do that you should get 7 every time! So in order to find the next term you would have to add 7 to 47 (The last number) Which would give you, 54! Lastly to check your answer, you can solve 54-47, which is 7!

Identified sequence: +7

Next term: 54

I hope this helps! Stay safe and good luck! :)

CaHeK987 [17]3 years ago

5 0

Answer:

The next term is 54.

Step-by-step explanation:

Look carefully, and you will find that each number increases by 7.

12 + 7 = 19.

19 + 7 = 26.

26 + 7 = 33...

...and so on.

Therefore, the next term is 54 since 47 + 7 = 54.

Hope this helped!

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How is estimation helpful when dividing multi-digit numbers.

Burka [1]

See, when you are traveling, you might get lost. if so, just remember "I need to go between _ and _ miles" estimating and rounding to the nearest number with 0 wiil help.

5 0

2 years ago

If (x)= 2x square minus 1,then f(-3)

viva [34]

Answer:

17.

Step-by-step explanation:

f(x) = 2x^2 - 1

f(-3) = 2(-3)^2 - 1

= 2 * 9 - 1

= 18 - 1

= 17

Hope this helps!

4 0

2 years ago

Read 2 more answers

During the 7th examination of the Offspring cohort in the Framingham Heart Study, there were 1219 participants being treated for

AlexFokin [52]

Answer:

95% confidence interval for the proportion of the population which are on treatment is [0.3293 , 0.3607].

Step-by-step explanation:

We are given that during the 7th examination of the Offspring cohort in the Framing ham Heart Study, there were 1219 participants being treated for hypertension and 2,313 who were not on treatment.

The sample proportion is : $\hat p$ = x/n = 1219/3532 = 0.345

Firstly, the pivotal quantity for 95% confidence interval for the proportion of the population is given by;

P.Q. = $\frac{\hat p-p}{\sqrt{\frac{\hat p(1-\hat p)}{n} } }$ ~ N(0,1)

where, $\hat p$ = sample proportion = 0.345

n = sample of participants = 3532

p = population proportion

Here for constructing 95% confidence interval we have used One-sample z proportion statistics.

So, 95% confidence interval for the population proportion, p is ;

P(-1.96 < N(0,1) < 1.96) = 0.95 {As the critical value of z at 2.5% level of

significance are -1.96 & 1.96}

P(-1.96 < $\frac{\hat p-p}{\sqrt{\frac{\hat p(1-\hat p)}{n} } }$ < 1.96) = 0.95

P( $-1.96 \times {\sqrt{\frac{\hat p(1-\hat p)}{n} } }$ < ${\hat p-p}$ < $1.96 \times {\sqrt{\frac{\hat p(1-\hat p)}{n} } }$ ) = 0.95

P( $\hat p-1.96 \times {\sqrt{\frac{\hat p(1-\hat p)}{n} } }$ < p < $\hat p+1.96 \times {\sqrt{\frac{\hat p(1-\hat p)}{n} } }$ ) = 0.95

95% confidence interval for p= [ $\hat p-1.96 \times {\sqrt{\frac{\hat p(1-\hat p)}{n} } }$ , $\hat p+1.96 \times {\sqrt{\frac{\hat p(1-\hat p)}{n} } }$ ]

= [ $0.345-1.96 \times {\sqrt{\frac{0.345(1-0.345)}{3532} } }$ , $0.345+1.96 \times {\sqrt{\frac{0.345(1-0.345)}{3532} } }$ ]

= [0.3293 , 0.3607]

Hence, 95% confidence interval for the proportion of the population which are on treatment is [0.3293 , 0.3607].

6 0

2 years ago

Help me please <img src="https://tex.z-dn.net/?f=f%28x%29%20%3D%20%20ln%28x%20%7B%20%7D%20%5E%7B2%7D%20%2B%202%20%29%20" id="

CaHeK987 [17]

➡Answer: x=√(e^y-2)

❇Explanation:
Step1: Let f(x)=y,then

↪y=ln(x²+2)

Step2: Converting it into exponential form,

↪e^y=x²+2

↪x²=e^y-2

Step3: Taking square root of both sides,

↪x=√(e^y-2)

❇Note:

ln means log with base e.

So in step 2 , base e of ln (x²+2) goes to other side in the form e^y. That is simply the property of log I used there..

Hope this helps!

3 0

2 years ago

Does this graph show a function?explain how you know.

DiKsa [7]

The answer is B! It passes the vertical line test

5 0

2 years ago