All categories

3 years ago

Two consecutive numbers whose sum is 115

Mathematics

1 answer:

kykrilka [37]3 years ago

4 0

Answer:

The two numbers would be 57 and 58.

Step-by-step explanation:

You can solve this problem using algebra. Use x to represent the smaller number and x + 1 to represent the greater number. You use x + 1 to represent the larger number because it is 1 more than the smaller number.

x + (x + 1) = 115

2x + 1 = 115

2x = 114

x = 57

Therefore, the numbers are 57 and 58. You can plug 57 into x + 1 to find the larger number.

You might be interested in

Two random samples are taken, with each group asked if they support a particular candidate. A summary of the sample sizes and pr

Minchanka [31]

Answer:

And we got $\alpha/2 =0.01$ so then the value for $\alpha=0.02$ and then the confidence level is given by: $Conf=1-0.02=0.98[/tex[ or 98%Step-by-step explanation:A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval". The margin of error is the range of values below and above the sample statistic in a confidence interval. Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean". [tex]p_1$ represent the real population proportion for 1

$\hat p_1 =0.768$ represent the estimated proportion for 1

$n_1=92$ is the sample size required for 1

$p_2$ represent the real population proportion for 2

$\hat p_2 =0.646$ represent the estimated proportion for 2

$n_2=95$ is the sample size required for 2

$z$ represent the critical value for the margin of error

The population proportion have the following distribution

$p \sim N(p,\sqrt{\frac{p(1-p)}{n}})$

The confidence interval for the difference of two proportions would be given by this formula

$(\hat p_1 -\hat p_2) \pm z_{\alpha/2} \sqrt{\frac{\hat p_1(1-\hat p_1)}{n_1} +\frac{\hat p_2 (1-\hat p_2)}{n_2}}$

For this case we have the confidence interval given by: (-0.0313,0.2753). From this we can find the margin of erro on this way:

$ME= \frac{0.2753-(-0.0313)}{2}=0.1533$

And we know that the margin of erro is given by:

$ME=z_{\alpha/2} \sqrt{\frac{\hat p_1(1-\hat p_1)}{n_1} +\frac{\hat p_2 (1-\hat p_2)}{n_2}}$

We have all the values except the value for $z_{\alpha/2}$

So we can find it like this:

$0.1533=z_{\alpha/2} \sqrt{\frac{0.768(1-0.768)}{92} +\frac{0.646 (1-0.646)}{95}}$

And solving for $z_{\alpha/2}$ we got:

$z_{\alpha/2}=2.326$

And we can find the value for $\alpha/2$ with the following excel code:

"=1-NORM.DIST(2.326,0,1,TRUE)"

And we got $\alpha/2 =0.01$ so then the value for $\alpha=0.02$ and then the confidence level is given by: $Conf=1-0.02=0.98$ or 98%

7 0

3 years ago

Simplify:<br> 5 1/12 - 2 3/4 =<br> Express your answer as a mixed number.

disa [49]

Answer:

Mixed Number Form: 2 1/3

Step-by-step explanation:

7 0

3 years ago

A triangle was dilated by a scale factor of 6. If sin aº

Pavlova-9 [17]

Answer:

24 units

Step-by-step explanation:

A triangle was dilated by a scale factor of 6. If sin a° = four fifths and segment DE measures 30 units, how long is segment EF?

triangle DEF in which angle F is a right angle, angle D measures a degrees, and angle E measures b degrees

15.5 units

24 units

30 units

37.5 units

From the description:

angle D measures a degrees

opposite to angle D is side EF

side DE (which measures 30 units) is the hypotenuse of the triangle.

We also know that

$\sin (a) = \frac{4}{5}$

$\sin (a) = \frac{opposite}{hypotenuse}$

From definition:

$\sin (a) = \frac{opposite}{hypotenuse}$

Replacing:

$\frac{4}{5} =\frac{ EF}{DE} \\\\EF = \frac{4}{5} *DE\\\\EF = \frac{4}{5} *30 \\\\= 24 units$

8 0

4 years ago

TEMA: Propriedade de Potência e Multiplicação de Números Negativos e Positivos.

GalinKa [24]

The correct answer is 34

7 0

3 years ago

The dry cleaning fee for 3 pairs of pants is $18.

Ivanshal [37]

Answer:

a. 1 pair of pants is $6

b. $66 for 11 pairs of pants

a. 18/3 = 6

b. 6 × 11 = 66

3 0

3 years ago

Two consecutive numbers whose sum is 115​

Two consecutive numbers whose sum is 115