Answer:
Step-by-step explanation:
It is given that AC:CM = 3:4.
Therefore, let AC = 3k and CM = 4k
It is given that Δ ACM is right angled.
Therefore,
AM = 5k
But, AM = MP + AP
Therefore, MP + AP = 5k --- (1)
It is given that MP - AP = 1 --- (2)
Multiply (1) and (2), we get.
(MP + AP)(MP - AP) = 5k × 1 = 5k
Add and subtract on the left side.
--- (3)
But, since CP ⊥ AM, Δ CMP and Δ CAP are right triangles. Therefore,
and
Now, (3) becomes,
7k = 5 or
AM = 5k
Answer:
3 pack of hot dogs and 2 pack of buns 24
Step-by-step explanation:
hot dogs come in packs of 8
burns came in packs of 12
what is the least number of each you can buy in order to have a equal number of hot dogs and buns
so to get equal number
we have to look for the LCM of 8 and 12 = 24
therefore the packs will be equal to product
hot dogs come in packs of 8 = 8*3 = 24
burns came in packs of 12 = 12 *2 = 24
therefore, 3 pack of hot dogs and 2 pack of buns 24
Answer:
The p-value of the test is 0.0207.
Step-by-step explanation:
Test of the claim that more than 60% of the people following a particular diet will experience increased energy (H1: p > 0.6).
The null hypothesis is:
The alternate hypothesis is:
The test statistic is:
In which X is the sample mean, is the value tested at the null hypothesis, is the standard deviation and n is the size of the sample.
0.6 is tested at the null hypothesis:
This means that
Of 100 randomly selected subjects who followed the diet, 70 noticed an increase in their energy level.
This means that
Test statistic:
P-value of the test:
The p-value of the test is the probability of finding a sample proportion of at least 0.7, which is 1 subtracted by the p-value of z = 2.04.
Looking at the z-table, z = 2.04 has a p-value of 0.9793
1 - 0.9793 = 0.0207
The p-value of the test is 0.0207.
The answer is 2.5 because the point is on -1.5, so -1.5+4=2.5