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rjkz [21]
3 years ago
14

Two natural numbers differ by 1 and add to give 35. Find the smaller number. google it and answer will come,I just need answer p

ls.. It is blocked on my school chromebook soo...
Mathematics
1 answer:
never [62]3 years ago
5 0

Answer:

17

Step-by-step explanation:

Since the numbers differ by 1, you can write the smaller number as x and the bigger one as x+1.

When you add them together you get 35: x+x+1=35

This simplifies to 2x+1=35.

When you solve you get 2x=34 so x=17.

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HELP NEEDED !!!<br> find the size of unknown angles
Karolina [17]

<em><u>Explanation</u></em><em> </em><em>:</em>

The line DF is parallel to OB, therefore Angle x = Angle y.

( because, they for corresponding angle pair which are equal. )

And the angle made by an arc at center is always double the angle made by the same arc at its boundary, hence

  • x = 22° × 2

  • x = 44°

  • y = 44° ( cuz, x = y )

8 0
3 years ago
Write an equation that represents the line. (-3,-6) and (2,-2) use exact numbers
Ilia_Sergeevich [38]

Given:

The line passes through (-3,-6) and (2,-2).

To find:

The equation of line.

Solution:

If a line passes through two points (x_1,y_1)\text{ and }(x_2,y_2), then the equation of line is

y-y_1=\dfrac{y_2-y_1}{x_2-x_1}(x-x_1)

The line passes through (-3,-6) and (2,-2). So, the equation of line is

y-(-6)=\dfrac{-2-(-6)}{2-(-3)}(x-(-3))

y+6=\dfrac{-2+6}{2+3}(x+3)

y+6=\dfrac{4}{5}(x+3)

y+6=\dfrac{4}{5}(x)+\dfrac{4}{5}(3)

Subtract 6 from both sides.

y=\dfrac{4}{5}(x)+\dfrac{12}{5}-6

y=\dfrac{4}{5}(x)+\dfrac{12-30}{5}

y=\dfrac{4}{5}(x)+\dfrac{-18}{5}

y=\dfrac{4}{5}(x)-\dfrac{18}{5}

Therefore, the equation of line is y=\dfrac{4}{5}(x)-\dfrac{18}{5}.

3 0
3 years ago
A researcher surveyed 150 high school students and found that 68% played a musical insturment. What would be a reasonable range
maria [59]

Answer:

The reasonable range for the population mean is (61%, 75%).

Step-by-step explanation:

The interval estimate of a population parameter is an interval of values that consist of the values within which the true value of the parameter lies with a certain probability.

The mean of the sampling distribution of sample proportion is, \hat p.

One of the best interval estimate of population proportion is the 95% confidence interval for proportion,

CI=\hat p \pm z_{\alpha/2}\sqrt{\frac{\hat p(1-\hat p)}{n}}

Given:

n = 150

\hat p = 0.68

The critical value of <em>z</em> for 95% confidence level is:

z_{\alpha/2}=z_{0.05/2}=z_{0.025}=1.96

Compute the 95% confidence interval for proportion as follows:

CI=\hat p \pm z_{\alpha/2}\sqrt{\frac{\hat p(1-\hat p)}{n}}

     =0.68\pm1.96\sqrt{\frac{0.68(1-0.68)}{150}}\\\\=0.68\pm 0.0747\\\\=(0.6053, 0.7547)\\\\\approx (0.61, 0.75)

Thus, the reasonable range for the population mean is (61%, 75%).

5 0
3 years ago
6. If F(x) = -6(2x2 + 5x) - 9, what is the value of F(-4)?
Soloha48 [4]

Answer:

-81

Step-by-step explanation:

-6(2x² + 5x) - 9

substitute -4 for 'x'

-6[2(-4)² + 5(-4)] - 9

-6[2(16) + (-20) - 9]

-6(32 - 20) - 9

-6(12) - 9

-72 - 9 = -81

5 0
3 years ago
Please help! I really don't understand!
Varvara68 [4.7K]
A. yes this is a statistical question. it is a statistical question because you can answer the question by collecting data.


b. some clusters are.. 3,4,5, and 6 they are clusters because they are assembled around a particular value. the peak is 6 because it is the highest number it reaches. there are no gaps in this table.



c. to calculate the average with a graph you sum the numbers then divide by the total number of values in the set. for this table you add 1+2+3+3+4+4+4+5+5+5+5+5+5 then you divide by 15.

1+2+3+3+4+4+4+5+5+5+5+5+5=51

51 ÷ 15= 3.4



3 0
3 years ago
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