Answer: 405 students
Step-by-step explanation:
From the question, Banneker Middle School has 750 students and we are told that Lynn surveys a random sample of 50 students and finds that 27 have pet dogs. The number of students at the school that are likely to have pet dogs goes thus:
Since out of 50 students surveyed, 27 have pet dogs, this means we multiply the fraction by 750. This can be mathematically written as:
= 27/50 × 750
= 27 × 15
= 405
This means 405 students are expecting to have pet dogs.
<span>40x/64ydivided by 5x/8y would be better written as
</span><span>40x/64y
------------ which in turn would be clearer if written as
</span><span>5x/8y
40x
--------
64y
==========
5x
------
8y
Now invert (5x/8y) and multiply (40x/64y) by your result:
</span> 40x 8 y
-------- * ------ Reducing, we get 8/8, or 1. The answer is 1.
64y 5x
Answer:
Step-by-step explanation:
The Mean is 102.85
The Median is 23.85
There is no Mode
And the Range is 67
Hope this was correct!
Answer:
60°
Step-by-step explanation:
angle A +angle B +angle C = 180
30° +B+90°= 180
120°+B=180°
B=180°-120°
B=60°
Answer:
12. a = 2
13. 
Step-by-step explanation:
12.
6a(a + 3) = 2a(3a + 5) + 16
First, distribute 6a on the left side, and distribute 2a on the right side.
6a² + 18a = 6a² + 10a + 16
Subtract 6a² from both sides.
18a = 10a + 16
Subtract 10a from both sides.
8a = 16
Divide both sides by 8.
a = 2
13.
The LCD of 2 and 3 is 6. We multiply both sides of the equation by 6 to get rid of all denominators.
Combine like terms on the left side. Distribute the 2 on the right side.
Subtract 2x from both sides.
Divide both sides by 3.
