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3 years ago

A snail moved 5 feet in 2 hours. How many feet will the snail move in 5 hours?

1 answer:

4 0

The best way to do this is to set up a proportion

2 5
--- = ----
5 x

then cross multiply and divide

5 times 5=25/2=12.5

he would move 12.5 feet in 5 hours

I hope I've helped!

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4 strikeouts to 10 strikeouts. What's the percent of change?

Artyom0805 [142]

Answer:

40%

Step-by-step explanation:

4 0

3 years ago

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The vertex angle of an isosceles triangle measures 42°. A base angle in the triangle has a measure given by (2x + 3)°. What is t

larisa [96]

An isosceles triangle is one in which 2 angles have similar measure while the other one is different. In this case, the 2 vertex angles have a measure of 42 degrees, therefore the third angle which is equal to (2x + 3) is:

(2x + 3) + 42 + 42 = 180

2x + 3 = 96

x = 46.5°

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3 years ago

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We want to determine if the probability that a student enrolled in an accelerated math pathway is independent of whether the stu

Molodets [167]

Answer:

The correct option is (c).

Step-by-step explanation:

The complete question is:

The data for the student enrollment at a college in Southern California is:

Traditional Accelerated Total

Math-pathway Math-pathway

Female 1244 116 1360

Male 1054 54 1108

Total 2298 170 2468

We want to determine if the probability that a student enrolled in an accelerated math pathway is independent of whether the student is female. Which of the following pairs of probabilities is not a useful comparison?

a. 1360/2468 and 116/170

b. 170/2468 and 116/1360

c. 1360/2468 and 170/2468

Solution:

If two events A and B are independent then:

$P(A|B)=P(A)\\\\\&\\\\P(B|A)=P(B)$

In this case we need to determine whether a student enrolled in an accelerated math pathway is independent of the student being a female.

Consider the following probabilities:

$P (F|A) = \farc{116}{170}\\\\P(A|F)=\frac{116}{1360}\\\\P(A)=\frac{170}{2468}\\\\P(F)=\frac{1360}{2468}$

If the two events are independent then:

P (F|A) = P(F)

P (A|F) = P (A)

But what would not be a valid comparison is:

P (A) = P(F)

Thus, the correct option is (c).

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3 years ago

Solve the absolute value equation. Check for extraneous solutions: |9x-3|=12

STatiana [176]

ANSWER: x=5/3, -1. Good luck. Hope this suffices.

Explanation for x=-1: |9x-3|=12. Lets take the absolute value brackets away for a sec. Add 3 to both sides 9x-3+3=-12+3, simplify: 9x=-9, divide both sides by nine:9x/9=-9/9. And that means that x=-1.

Explanation for x=5/3: |9x-3|=12. Add 3. 9x-3+3=12+3. Simplify: 9x=15. Divide both sides by 9. 9x/9=15/9. Simplify: x=5/3

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3 years ago

A triangle has a side length of 5.4 and 7 x x=

Burka [1]

Answer:

D. 8.8

Step-by-step explanation:

As the pythagorean theorem.

A² + B² = C²,

5.4 × 5.4 + 7 × 7 = C²,

29.16 + 49 = C²,

78.16 = C²,

8.8 ≈ C

4 0

3 years ago