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Brilliant_brown [7]
3 years ago
5

In a direct proportion y = kx, the number k is called the constant of

Mathematics
2 answers:
expeople1 [14]3 years ago
7 0
The Constant of Proportionality
AleksandrR [38]3 years ago
4 0
*Proportionality*. If you divide both sides of the equation by x, you’ll see why: k = y/x, or the *proportion* of y to x.
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Solve for x:<br> X=<br> 76⁰<br> 9x+1<br> 40°
luda_lava [24]

7 is the value of x, and 64° is the measure of the unknown angle.

Triangle angles of 76°, (9x+1)°, and 40° are provided.

According to the triangle's "angle sum property," a triangle's angles add up to 180 degrees. Three sides and three angles, one at each vertex, make up a triangle. The sum of the interior angles in a triangle is always 180o, regardless of whether it is acute, obtuse, or right.

One of the most commonly applied properties in geometry is the triangle's angle sum property. Most often, the unknown angles are calculated using this attribute.

Now, the total of a triangle's three angles equals

76°+(9x+1)°+40°= 180°

⇒ 116+9x+1 = 180

⇒ 9x + 117 = 180

⇒ 9x = 63

⇒ x = 7

So, 9x+1=64°

As a result, x is equal to 7 and the unmeasured angle is 64°.

To learn more about the angle sum property of a triangle, refer to this link:

brainly.com/question/8492819

#SPJ1

4 0
10 months ago
Blake is driving home from the water park. He drives for 60 miles and stops to rest before driving 20 more miles. Unfortunately,
7nadin3 [17]
Mathematically its 60+20-36+70
7 0
3 years ago
Read 2 more answers
You and your brother are reading the same novel. You want to get ahead of him in the book, so you decide to read 30 minutes long
Sholpan [36]

Answer: its 45 if i read it right.

Step-by-step explanation:

8 0
3 years ago
Flow meters are installed in urban sewer systems to measure the flows through the pipes. In dry weatherconditions (no rain) the
ziro4ka [17]

Answer:

a) \frac{(8)(30.23)^2}{20.09} \leq \sigma^2 \leq \frac{(8)(30.23)^2}{1.65}

363.90 \leq \sigma^2 \leq 4430.80

Now we just take square root on both sides of the interval and we got:

19.08 \leq \sigma \leq 66.56

b) For this case we are 98% confidence that the true deviation for the population of interest is between 19.08 and 66.56

Step-by-step explanation:

423.6, 487.3, 453.2, 402.9, 483.0, 477.7, 442.3, 418.4, 459.0

Part a

The confidence interval for the population variance is given by the following formula:

\frac{(n-1)s^2}{\chi^2_{\alpha/2}} \leq \sigma^2 \leq \frac{(n-1)s^2}{\chi^2_{1-\alpha/2}}

On this case we need to find the sample standard deviation with the following formula:

s=sqrt{\frac{\sum_{i=1}^8 (x_i -\bar x)^2}{n-1}}&#10;And in order to find the sample mean we just need to use this formula:&#10;[tex]\bar x =\frac{\sum_{i=1}^n x_i}{n}

The sample deviation for this case is s=30.23

The next step would be calculate the critical values. First we need to calculate the degrees of freedom given by:

df=n-1=9-1=8

The Confidence interval is 0.98 or 98%, the value of \alpha=0.02 and \alpha/2 =0.01, and the critical values are:

\chi^2_{\alpha/2}=20.09

\chi^2_{1- \alpha/2}=1.65

And replacing into the formula for the interval we got:

\frac{(8)(30.23)^2}{20.09} \leq \sigma^2 \leq \frac{(8)(30.23)^2}{1.65}

363.90 \leq \sigma^2 \leq 4430.80

Now we just take square root on both sides of the interval and we got:

19.08 \leq \sigma \leq 66.56

Part b

For this case we are 98% confidence that the true deviation for the population of interest is between 19.08 and 66.56

4 0
3 years ago
A customer is late paying their renewal registration fee. The renewal registration fee is $142.16 and the late fee is 63% of the
Andre45 [30]
$124.56 because if you have 63% you change it to a decimal so it is not .63 and you multiply it by 146.16 and then add the 35 you get 124.56
8 0
3 years ago
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