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lukranit [14]
3 years ago
14

A candle is in the shape of a square pyramid. Its height is 5 cm and its slant height is 8 cm

Mathematics
1 answer:
Akimi4 [234]3 years ago
3 0
Using the Pythagoras theorem

8^2 = 5^2 + x^2   where x = 1/2 length of the base

x^2 = 64-25 = 39

x = = sqrt39 = 6.24

so base length = 2*6.24 = 12.5 cm to nearest tenth
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A grower believes that one in five of his citrus trees are infected with the citrus red mite. How large a sample should be taken
kotegsom [21]

Answer: 68

Step-by-step explanation:

Formula for sample size when prior estimate of population proportion (p) is available:  n=p(1-p)(\dfrac{z^*}{E})^2

, where z*= critical-value.

E= Margin of error.

Let p be the population proportion of  trees are infected with the citrus red mite.

As per given , we have

p=\dfrac{1}{5}=0.2

E= ± 0.08

The critical z-value corresponding to 90% confidence level = z*=1.645

Substitute all the values in the above formula , we get

Required sample size  :n=(0.2)(1-0.2)(\dfrac{(1.645)}{0.08})^2

\Rightarrow\ n=(0.2)(0.8)(20.5625)^2

\Rightarrow\ n=0.16(422.81640625)\\\\\Rightarrow\ n=67.650625\approx68 [Rounded to next integer.]

Thus, the minimum sample size should be taken =68

6 0
3 years ago
Nate biked 56 miles in 4hours. what was Nates average speed for 1 hour?<br>​
son4ous [18]
The answer to this one is simple.
An equation to model with would be
? * 4 = 56.

To find ? All you have to do is divide 56 by 4.

So the answer to your question is 14 miles per hour.

Hope I did this right and hope I helped you :))))
5 0
3 years ago
Ft
Fofino [41]

Answer:

. We assume, that the number 260 is 100% - because it's the output value of the task.

2. We assume, that x is the value we are looking for.

3. If 260 is 100%, so we can write it down as 260=100%.

4. We know, that x is 6.75% of the output value, so we can write it down as x=6.75%.

5. Now we have two simple equations:

1) 260=100%

2) x=6.75%

where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:

260/x=100%/6.75%

6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for what is 6.75% of 260

260/x=100/6.75

(260/x)*x=(100/6.75)*x       - we multiply both sides of the equation by x

260=14.814814814815*x       - we divide both sides of the equation by (14.814814814815) to get x

260/14.814814814815=x

17.55=x

x=17.55

now we have:

6.75% of 260=17.55

Step-by-step explanation:

5 0
3 years ago
Jillian surveyed students at her school and found out the following probabilities: P ( freshman ) = 0.30 P ( plays instrument )
VLD [36.1K]

Answer: 1/3

Step-by-step explanation:

6 0
3 years ago
Number of Gallons 2 4 x
Travka [436]

Answer:

The value of x is 8 gallon.

Step-by-step explanation:

Given a table  showing approximate conversion from gallons to liters.

Number of Gallons    2      4      x

Number of Liters      7.6  15.2  30.4

We are required to find value of x,

Given : 2 gallon is equal to 7.6 liters.

⇒  1 liter is equal to \frac{2}{7.6}=0.263 liters. ........(1)

given, x gallon equal to 30.4 liters.

⇒ 1 liter is equal to \frac{x}{30.4} liters.  .........(2)

from (1) and (2),

⇒  0.263=\frac{x}{30.4}

Solving for x, we get,

⇒  0.263 \times 30.4=x

⇒  7.9952=x

Approximately x = 8

Thus, the value of x is 8 gallon.

8 0
3 years ago
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