Answer:
the radius of the sphere is 12 cm.
Step-by-step explanation:
IN A CONE
vertical height (h) = 27 cm
radius (r) = 32 / 2 = 16 cm
Now the volume of cone is
= 1/3 *h*π*r²
= 1/3 * 27 *π *16²
= 2304π cm³
Also by the question the cone and the sphere have equal volumes so
volume of sphere = volume of cone
= 2304 π cm³
OR, 4/3 πr³ = 2304 π
4/3 * r³ = 2304
r³ = 2304 * 3 / 4
r³ = 1728
r = ∛1728
r = 12 cm
hope it helps :)
Answer:
rational
rational
irrational
rational
irrational
Step-by-step explanation:
In statistics, a Chi-squared test may be used to determine holiday choice and gender and α (alpha) is the response variable.
<h3>What is the Chi-squared test? </h3>
A statistical technique called the chi-square test is used to compare actual outcomes with predictions.
The goal of this test is to establish if a discrepancy between actual and predicted data is the result of chance or a correlation between the variables you are researching.
Whether there is a statistically significant association between categorical variables is determined by the Chi-square test of independence.
This issue is addressed by a hypothesis test. The chi-square test of association is another name for this assessment.
Hence,in stats would a test looking at gender & holiday preference yes you can do a Chi-squared test and α(alpha) is the response variable.
To learn more about the Chi-squared test refer;
brainly.com/question/14082240
#SPJ1
Answer:
x = 8
Step-by-step explanation:
If the line are parallel (those are the ones that dont cross) and a third line crosses both the parallel lines, you get the set up shown in your diagram. Which has EIGHT angles in it. But there's only two measures for all eight of these angles. Four of them are all equal to each other (and the other four all equal to each other) And the two numbers add up to 180°
Here 7x + 12 and 12x - 28 are a couple of the angles that are EQUAL TO each other.
7x + 12 = 12x - 28 Solve.
Subtract 7x from both sides.
12 = 5x - 28 add 28 to both sides.
40 = 5x divide by 5 on both sides.
40/5 = x
8 = x
<span>L/h stand for liter per hour
Now the given problem is 105.6 l/h = l/m
=> this means we need to convert 105.6 liters per hour to liters per minute
Now let’s analyse
=> there are 105.6 liters in 1 hour
=> there are 60 minutes in 1 hour
=> 105.6 liters / 60 minutes
=> 1.76 liters / minute
Thus the answer is:
=> 105.6 liters per hours is equals to 1.76 liters per minute.</span>
