Answer: pr (blue) = 1/3 or 0.33
Pr(green without replacement) = 1/2 = 0.5
Step-by-step explanation:
Probability = number of possible outcomes/ number of total outcomes
Total number of outcomes is the sum of all the marbles, given as 9
Pr ( first marble blue) = no of blue marbles/ total number of marbles
= 3/9 = 1/3 or 0.333
Second marble is chosen without replacement- this means that the total outcome has reduced by 1, total number of marbles has reduced to 8 because there was no replacement.
Pr (second marble is green) = number of green marble/ total number of marbles without replacing the first marble
= 4/8 = 1/2 = 0.5
I hope this helps.
Answer:
[A] The corresponding sides of the triangles are congruent.
[B] The corresponding angles of the triangles are congruent.
[C] The triangles have the same size.
[D] The triangles have the same shape.
Step-by-step explanation:
SAS which it is stands for {side, angle, side} and the meaning of SAS is that we have two triangles where we see two sides and the included angle are equal.
In Order for two triangles to be congruent must have the following below:
- Two figures are said to be congruent if they have same size and same shape.
- If two figure are congruent that means the corresponding sides will also be congruent.
- If two figure are congruent that means the the corresponding angles will also be congruent.
Hence, base on the given all the following are correct:
A. The corresponding sides of the triangles are congruent. √
B. The corresponding angles of the triangles are congruent. √
C. The triangles have the same size. √
D. The triangles have the same shape. √
<u><em>Kavinsky</em></u>
Answer:
104.6 deg, 75.4 deg
Step-by-step explanation:
One angle measures x.
The other angle measures 29.2 deg less than x, so it measures x - 29.2.
They are supplementary angles, so the sum of their measures is 180 deg.
x + x - 29.2 = 180
2x - 29.2 = 180
2x = 209.2
x = 104.6
x - 29.2 = 75.4
Answer: 104.6 deg, 75.4 deg
Answer:
Step-by-step explanation:
Assuming the number of tickets sales from Mondays is normally distributed. the formula for normal distribution would be applied. It is expressed as
z = (x - u)/s
Where
x = ticket sales from monday
u = mean amount of ticket
s = standard deviation
From the information given,
u = 500 tickets
s = 50 tickets
We want to find the probability that the mean will be greater than 510. It is expressed as
P(x greater than 510) = 1 - P(x lesser than or equal to 510)
For x = 510
z = (510 - 500)/50 = 0.2
Looking at the normal distribution table, the probability corresponding to the z score is 0.9773
P(x greater than 510) = 1 - 0.9773 = 0.0227
Answer: .34 ≤ x ≤ .81
Step-by-step explanation:
An inequality is writted like __ ≤ x ≤ ___
Since the humming bird can fly between .34 and .81 we use the the less than or equal to sign because it can fly max .81 mpm or less than that. with a minimum speed of .34 mpm.
