Answer:
answer is 7a proved
Step-by-step explanation:
sloution
=-3a-4
=-+- =+ so,
=-3a-4
=7a
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<u><em>Answer:</em></u>
x = 25
y = 14
<u><em>Explanation:</em></u>
The described scenario can be represented using the attached triangle.
<u>1- getting the value of x:</u>
We know that ΔABC is an isosceles triangle with AC = BC
<u>This means that:</u>
∠CAB = ∠CBA
We know that ∠CAB = 50° and ∠CBA = 2x°
<u>Equating the two angles, we get:</u>
50 = 2x .................> Divide both sides by 2
x = 25
<u>2- getting the value of y:</u>
We know that the sum of the internal angles of a triangle is 180°
<u>This means that:</u>
∠ABC + ∠CAB + ∠ACB = 180°
<u>We have:</u>
∠ABC = 2x = 50°
∠ACB = 5y + 10
∠CAB = 50°
<u>Now, we substitute to get the value of y as follows:</u>
50 + 50 + 5y + 10 = 180
110 + 5y = 180
5y = 180 - 110
5y = 70 .............> Divide both sides by 5
y = 14
Hope this helps :)
We will use the Pythagora’s theorem for this. Using the formula: a^2 + b^2 = c^2
Pls see the below working out :)
Answer:
Negative with little correlation
It has negative slope if you imagine a line
Answer:
Probability that a sample mean is 12 or larger for a sample from the horse population is 0.0262.
Step-by-step explanation:
We are given that a veterinary researcher takes a random sample of 60 horses presenting with colic. The average age of the random sample of horses with colic is 12 years. The average age of all horses seen at the veterinary clinic was determined to be 10 years. The researcher also determined that the standard deviation of all horses coming to the veterinary clinic is 8 years.
So, firstly according to Central limit theorem the z score probability distribution for sample means is given by;
Z =
~ N(0,1)
where,
= average age of the random sample of horses with colic = 12 yrs
= average age of all horses seen at the veterinary clinic = 10 yrs
= standard deviation of all horses coming to the veterinary clinic = 8 yrs
n = sample of horses = 60
So, probability that a sample mean is 12 or larger for a sample from the horse population is given by = P(
12)
P(
12) = P(
) = P(Z
1.94) = 1 - P(Z < 1.94)
= 1 - 0.97381 = 0.0262
Therefore, probability that a sample mean is 12 or larger for a sample from the horse population is 0.0262.