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soldier1979 [14.2K]
4 years ago
15

The cup was filled at a constant rate. It started empty. After 2 seconds, it held 70 cm^3 of water.

Mathematics
1 answer:
nydimaria [60]4 years ago
8 0

Answer:

About 90%

Step-by-step explanation:

If the cup was filled at a constant rate, then the cup fills at 70/2=35 cubic centimeters per second. The formula for the volume of a cone is \frac{1}{3} \pi r^2 h, or in this case \frac{112}{3}\pi cubic centimeters. After 3 seconds, the cup would have 35*3=105 cubic centimeters of water inside of it, or about 89.52% which rounds to 90%. Hope this helps!

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In a random sample of 400 residents of Boston, 320 residents indicated that they voted for Obama in the last presidential electi
coldgirl [10]

Answer:

C.I =  0.7608   ≤ p ≤   0.8392

Step-by-step explanation:

Given that:

Let consider a  random sample n = 400 candidates where  320 residents indicated that they voted for Obama

probability \hat p = \dfrac{320}{400}

= 0.8

Level of significance ∝ = 100 -95%

= 5%

= 0.05

The objective is to  develop a 95% confidence interval estimate for the proportion of all Boston residents who voted for Obama.

The confidence internal can be computed as:

=\hat p  \pm Z_{\alpha/2} \sqrt{\dfrac{ p(1-p)}{n } }

where;

Z_{0.05/2} = Z_{0.025} = 1.960

SO;

=0.8  \pm 1.960 \sqrt{\dfrac{ 0.8(1-0.8)}{400 } }

=0.8  \pm 1.960 \sqrt{\dfrac{ 0.8(0.2)}{400 } }

=0.8  \pm 1.960 \sqrt{\dfrac{ 0.16}{400 } }

=0.8  \pm 1.960 \sqrt{4 \times 10^{-4}}

=0.8  \pm 1.960 \times 0.02}

=0.8  \pm 0.0392

= 0.8 - 0.0392     OR   0.8 + 0.0392  

= 0.7608    OR    0.8392

Thus; C.I =  0.7608   ≤ p ≤   0.8392

3 0
3 years ago
-25+t=-44 solve using addition principle. The solution is t=
love history [14]

Explanation:

First, add by 25 both sides of an equation.

-25+t+25=-44+25

Then, simplify by equation and add/subtract by the numbers.

44-25=19

*The answer must be have a negative sign.

\boxed{t=-19}

Hope this helps!

Thank you!

Have a great day!

3 0
3 years ago
Read 2 more answers
A construction crew has just finished building a road. The road is 10 5/6 kilometers long. If the crew worked for 5 days, how ma
anygoal [31]

Answer:

Step-by-step explanation:

10 5/6 km...in 5 days

(10 5/6) / 5 =

(65/6) / 5 =

65/6 * 1/5 =

65/30 =

2 1/6 kilometers per day <===

6 0
4 years ago
6(v+2) - 7v = 6 + 5v​
slava [35]

Answer:

v = 1

Step-by-step explanation:

6(v+2) - 7v = 6 + 5v

open Parentheses

6*v=6v

6*2=12

New equation:

6v + 12 - 7v = 6 + 5v

simplify

12 - v = 6 + 5v

match like terms

6 = 6v

solve

1 = v

4 0
3 years ago
Read 2 more answers
On Saturday, Wendy babysat for
Degger [83]

Answer:

9(4/3)

Step-by-step explanation:

you add up the hours of each of the girls so, 3(1/2)+4(1/3)+2

4 0
3 years ago
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