Part 1 : Ben takes a random sample of 25 students in his seventh-grade class and finds that 85% of the sample prefers math over science. There are 150 students in the seventh grade. Based on the sample proportion, about how many students in the seventh grade would be expected to prefer math over science?
Option 1 : 25
Option 2 : 85
Option 3 :150
Option 4 :128
Solutions - Convert the percent into decimal and multiply.
<span>85% of 150 = 0.85 * 150
</span>
= <span>127.5 which is rounded to 128 </span>
The correct statement is A(They are similar, but not congruent. B. They are neither congruent nor similar)
What does congruent mean?
If it is possible to superimpose one geometric figure on the other so that their entire surface coincides, that geometric figure is said to be congruent, or to be in the relation of congruence.
A figure is transformed via rotation, which revolves it around a fixed point. The shape and size of an object and its rotational image are the same, but the figures can be rotated in various directions. Our two pentagons are congruent as a result of rotation.
Dilation is a transformation that yields an image that is different in size but comparable in shape to the original. Therefore, dilation offers us two pentagons that are identical to one another.
An initial pentagon is produced via a series of rotations and dilations, but it is not congruent.
To know more about congruent triangles, visit:brainly.com/question/12404297
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Answer:
The fastest runner is Brooke
Step-by-step explanation:
In order to determine this, we must first put them all in the same terms. For the purpose of this, we will put them all in feet per second.
Tony
12 feet/1 second = 12 ft per second
Brooke
381 feet/27 seconds = 14.11 ft per second
Emily
1 mile/499 seconds = 5280 feet/499 seconds = 10.58 ft per second
Frank
710 feet/1 minute = 710 feet/60 seconds = 11.83 ft per second
So we know that the fastest is Brooke
Answer:
the segment bisector is MN
Answer:
- 4
Step-by-step explanation:
The average rate of f(x) in the closed interval [ a, b ] is
Here [ a, b ] = [ - 2, 2 ]
f(b) = f(2) = 9 ← from table value of f(x) for x = 2
f(a) = f(- 2) = 25 ← from table value of f(x) for x = - 2, thus
average rate of change = = = - 4