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inysia [295]
4 years ago
12

The temperature in degrees Fahrenheit can be estimated by counting the number of times a cricket chirps in one minute. If a cric

ket chirps 164 times in one minute, use this formula to find the approximate temperature outside.
c÷4+37
A. 87 °F
B. 78 °F
C. 41 °F
Mathematics
1 answer:
DedPeter [7]4 years ago
3 0
<span>If temperature can be estimated by counting cricket chirps and applying it to a given formula, a cricket that chirps 164 times in one minute indicates that it is approximately 78 degrees Fahrenheit (B).</span>
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A stadium has 50,000 seats. Seats sell for $25 in section A, $20 in section B, and $15 in section C. The number of seats in sect
Novay_Z [31]

Answers:

section A = 25,000 seats

section B = 14,200 seats

section C = 10,800 seats

Your teacher may want you to leave out the commas from each number.

=============================================================

Work Shown:

  • A = number of seats in section A
  • B = number of seats in section B
  • C = number of seats in section C

A = B+C

A+B+C = 50,000

B+C+B+C = 50,000

2(B+C) = 50,000

B+C = 50,000/2

B+C = 25,000

C = 25,000 - B

25A + 20B + 15C = 1,071,000

25(B+C) + 20B + 15C = 1,071,000

25(25,000) + 20B + 15(25,000 - B) = 1,071,000

625,000 + 20B + 375,000 - 15B = 1,071,000

1,000,000 + 5B = 1,071,000

5B = 1,071,000 - 1,000,000

5B = 71,000

B = (71,000)/5

B = 14,200 is the number of seats in section B

C = 25,000 - B

C = 25,000 - 14,200

C = 10,800 is the number of seats in section C

A = B+C

A = 14,200 + 10,800

A = 25,000 is the number of seats in section A

--------------

Check:

A+B+C = 25,000+14,200+10,800 = 50,000

5 0
2 years ago
A recent survey showed that among 100 randomly selected college seniors, 20 plan to attend graduate school and 80 do not. determ
Temka [501]
The confidence interval would be (0.122, 0.278).

We first find our z-score.  We want a 95% confidence interval:

0.95/2 = 0.475

Looking this up in the z-table, (http://www.statisticshowto.com/tables/z-table/) we see the z-score is 1.96.

The formula we will use is:

p \pm z\sqrt{\frac{p(1-p)}{n}}

In this problem, p = 20/100 = 0.2, and n=100:

0.2 \pm 1.96\sqrt{\frac{(0.2)(0.8)}{100}}&#10;\\&#10;\\0.2\pm 0.0784&#10;\\&#10;\\(0.2-0.0784, 0.2+0.0784)&#10;\\&#10;\\(0.1216,0.2784)
8 0
3 years ago
7) c/a=d-r, for a<br><br> thanks
elena-14-01-66 [18.8K]

Answer:

a = c/(d - r)

Step-by-step explanation:

Multiply both sides by a

(c/a)a = (d - r)*a  Notice how this is written. You need to introduce brackets on the right because both d and r are multiplied by a.

c = (d - r)*a                

Divide both sides by (d - r)

c/(d - r) = a*(d - r)/(d - r)

c/(d - r) = a

4 0
3 years ago
How much did the temperature change between 10 a.m and 1 P.m
Montano1993 [528]
The temperature Rose 6•F between 11 a.m. and 1 p.m. .
6 0
3 years ago
Read 2 more answers
PLEASE PLEASE HELP!! Sketch a triangle and label correctly. Work must be shown for this problem. Round answers to the nearest hu
torisob [31]

Answer:

Please see attached image for the sketch with the labels.

Length "x" of the ramp = 11.70 ft

Step-by-step explanation:

Notice that the geometry to represent the ramp is a right angle triangle, for which we know one of its acute angles (20^o), and the size of the side opposite to it (4 ft). Our unknown is the hypotenuse "x" of this right angle triangle, which is the actual ramp length we need to find.

For this, we use the the "sin" function of an angle in the triangle, which is defined as the quotient between the side opposite to the angle, divided by the hypotenuse, and then solve for the unknown "x" in the equation:

sin(20^o)=\frac{opposite}{hypotenuse}\\ sin(20^o)=\frac{4}{x} \\x=\frac{4}{sin(20^o)} \\x=11.695\,\,ft

Therefore the length of the ramp rounded to the nearest hundredth as requested is: 11.70 ft

5 0
3 years ago
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