Alana took a math quiz last week. She got 12 out of 20 problems correct. What percentage did Alana get correct?

Mathematics

1 answer:

Deffense [45]2 years ago

4 0

Answer:

60%

Step-by-step explanation:

The fraction 12/20 in simplest form would be 6/10 which come be converted to a percentage. (6x10)/(10x10)=60/100 or 60%.

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I need help with number 3

Marizza181 [45]

Area of circle = pi r^2 = 78.54
r^2 = 78.54 / pi = 25
r = 5 inches

Each line from centre of the circle to a point on the hexagon = 5 ins

so consider one of the 6 congruent triangles formed from these lines:-
Vertex angle = 60 degrees

sin 30 = 0.5s / 5 (where s = one side of the hexagon).
0.5s = 5*0.5 = 2.5
s = 2.5 / 0.5 = 5

So the perimeter of the hexagon is 6*5 = 30 inches

8 0

3 years ago

Which property is illustrated by 3 + (2x + 4) = (3 + 2x) + 4

antoniya [11.8K]

Answer:

The answer is c, The commutative property of addition

Step-by-step explanation:

6 0

2 years ago

Consider the following hypothesis test:H0: 20Ha: < 20A sample of 60 provided a sample mean of 19.6. The population standard d

elixir [45]

Answer:

a: z = -1.936

b: 0.0265

d: z < -1.645

Reject H0 if z < -1.645

Step-by-step explanation:

We are given:

H0: µ = 20

HA: µ < 20

n = 60, sample mean: 19.6, σ = 1.6

Since the alternate hypothesis has a < sign in it, it is a left tailed test. The < or > sign in the alternate hypothesis points towards the rejection region.

For a: We need to calculate the test statistic for our situation. This is done with a z-score formula for samples.

For b: we need to use the z-score table to look up the p-value for the score we calculate in part a. The p-value is 0.0265. This means that there is only about a 2.65% chance that the sample values were a result of random chance.

For d: Since the significance level is 0.05, and this is a one tailed test, we have a critical value of z < - 1.645. This means that if the z-score we calculate in part a is less than -1.645, we will reject the null hypothesis

See attached photo for all the calculations!