Answer:
The base is 4cm and the height is 5cm.
Step-by-step explanation:
This is a solve the system question. Call H the height of the triangle and B the base. The question tells us:
and
Sub the first equation into the second (as H is already isolated). You will end up with a quadratic equation - solve that any way you wish (e.g. quadratic formula). I've provided the factored form below which shows you the roots:
In this question, we take B=4. You can't have a negative side length so the other answer is eliminated. Now sub the value for B into either of the original equations. I'll use the first, again because H is already isolated:
Answer:
P(X≥75)= 0.22663
Step-by-step explanation:
Hello!
The variable has a normal distribution with mean μ= 67 and a standard deviation δ= 8.
X~N(μ;δ²)
You need to find the probability that a randomly selected X value is at least 75, i.e. 75 or more, symbolically:
P(X≥75)
To calculate this probability is best to work using the standard normal distribution. This distribution is derived from the normal distribution. Considering a random variable X with normal distribution, mean μ and variance δ², the variable Z =(X-μ)/δ ~N(0;1) is determined.
The standard normal distribution is tabulated. Any value of any random variable X with normal distribution can be "converted" by subtracting the variable from its mean and dividing it by its standard deviation.
Using the formula and the values of the parameters of the population you have to standardize the value of X
Z= (X-μ)/δ = (75 - 67)/ 8= 0.75
Now you can express the probability under the standard normal distribution:
P(X≥75) = P(Z≥0.75)
The Z-tables show probability values P(Z≤z₁₋α)= 1 - α, then:
P(Z≥0.75)= 1 - P(Z<0.75)= 1 - 0.77337= 0.22663.
I hope it helps!
Answer:
Good for Jack. (Whats the equation or question) I cant solve it is he only has golf balls, what happens to the golf balls??
Step-by-step explanation:
Answer:
I can not see the whole picture, otherwise I could maybe help you.
LC=1
Step-by-step explanation:
f(x)=x^2-8x-4
=(1)x^2-8x-4