Answer: She gained 340 points!
Step-by-step explanation: Tori lost 80 in the morning while playing geology, meaning she has reduced 80 from her total count. After lunch, by earning 420, she gains 420 on top of the reduced 80. All you have to do is subtract 80 from 420, giving you a gain of 340 points.
You could use a pie chart that could help you solve the question of possibly what the favorite sport of a school is overall which can be shown on a pie chart
Answer:
Step-by-step explanation:
We can use the sine ratio to find the value of .
Recall the mnemonics SOH; which means sine is Opposite over Hypotenuse.
This implies that;
Answer:
Step-by-step explanation:
The mean, , is 90 and the standard deviation, , is 12. We are looking for the probability that the variable X will fall between 57 and 105. We use the z-score table for this, AFTER we find the z scores. The formula to find the z-scores for us is:
and we fill in accordingly:
which simplifies to
and we will break them up into 2 different sets as follows:
P(-2.75 ≤ z ≤ 0) + P(0 ≤ z ≤ 1.25)
and based on the fact that z scores are given from 0 on up, we are going to convert the first one by using the logic that if z is greater than -2.75 but less than 0, by symmetry, z is greater than 0 but less than 2.75:
P(0 ≤ z ≤ 2.75) + P(0 ≤ z ≤ 1.25) and we go to the z-score table.
Locate 2.7 down along the left side and move over til you're under the .05; that gives us the z-score for 2.75 which is .4970. Do the same for 1.25 to get a z-score of .3944. Add them together to get a final z-score that covers the range of values for X:
.4970 + .3944 = 0.8914
Answer:
I am attaching a image to understand my proof.
Step-by-step explanation:
PROVE:-
AB = DC
AD = BC
∠ ABD = ∠ BDC (alternate angles are equal )
∠ DBC = ∠ ADB (alternate angles are equal )
∴ Δ ADB ≅ Δ CBD ( by ASA rule )
DC = BA ( corresponding sides of ≅ Δ )
AD = CB ( corresponding sides of ≅ Δ )
Hence it is proved that opposite sides of parallelogram are congruent )