All categories

3 years ago

A number increased by 4 is the same as 19 minus 2 times the number

Mathematics

1 answer:

ElenaW [278]3 years ago

6 0

Hello from MrBillDoesMath!

Answer:

n = 5

Discussion:

Let the original number be "n" Translating the problem statement to mathematical symbolism:

n + 4 = 19 - 2n => add 2n to both sides

n + 2n + 4 = 19 - 2n + 2n => combine like terms

3n + 4 = 19 => subtract 4 from both sides

3n = 19 -4 = 15 => divide both sides by 3

n = 15/3 =5

Check: Does 5 +4 = 19 - 2(5)? Does 9 = 9? Yes. so the value for n is confirmed correct.

Thank you,

MrB

You might be interested in

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

3 years ago

(05.01 LC)*PLEASE ANSWER 20 POINTS +BRANLIEST PLEASEEE!!!

Bess [88]

C) 1/25 for every 1 it goes up 25. therefore 1/25! hope I helped!!! brainliest would be much appreciated because I am trying to rank up!!!

3 0

3 years ago

Read 2 more answers

Identify the constants in the expression below. 5x - 3y + 2x -15 +2y + 9

anzhelika [568]

Answer:

The constants are -15 and 9

Step-by-step explanation:

Constants are those numerical values that will never change, despite the value of x. The easiest way to find them are by finding those numbers that are not affecting x in any way.

5 0

3 years ago

Read 2 more answers

The pair of figures to the right are similar. The area of one figure is given. Find the area of the other figure to the nearest

allsm [11]

9514 1404 393

Answer:

smaller triangle area = 73 1/3 ft^2

Step-by-step explanation:

The smaller triangle has a ratio of linear dimensions of 10/15 = 2/3 of that of the larger triangle. The area ratio is the square of this, so the area of the smaller triangle is ...

(165 ft^2)(2/3)^2 = (165 ft^2)(4/9) = 220/3 ft^2 = 73 1/3 ft^2

3 0

3 years ago

the half life of c14 is 5730 years. Suppose that wood found at an archeological excavation site contains about 35% as much C14 a

Furkat [3]

Answer:

The wood was cut approximately 8679 years ago.

Step-by-step explanation:

At first we assume that examination occured in 2020. The decay of radioactive isotopes are represented by the following ordinary differential equation:

$\frac{dm}{dt} = -\frac{m}{\tau}$ (Eq. 1)