Answer:
the slope is 3.800000
Step-by-step explanation:
Answer:
93
Explanation:
2x^2-2+y
Plug in the given values for x and y
2(-7)^2-2+(-3)
Solve the exponent
2(49)-2+(-3)
Open up the parentheses
98-2-3
96-3
93
I hope this helps!
Answer:
D. 70 degrees.
Step-by-step explanation:
Because the 2 triangles are similar corresponding angles are congruent.
So m < P = m< X = 66 degrees.
And since there are 180 degrees in a triangle:
m < W = 180 - (m < V + m < X)
= 180 - (44 + 66)
= 70 degrees.
Answer:
Step-by-step explanation:
We would set up the hypothesis test. This is a test of a single population mean since we are dealing with mean
For the null hypothesis,
µ = 100g
For the alternative hypothesis,
µ < 100g
Due to the <, It means that it is left tailed test.
Since the number of samples is large, the population standard deviation is given, the z test would be used. The formula is
z = (x - µ)/(σ/√n)
Where
x = sample mean
µ = population mean
σ = population standard deviation
n = number of samples
From the information given,
µ = 100g
x = 99 g
σ = 1g
n = 30
z = (99 - 100)/(1/√30) = - 5.48
Looking at the normal distribution table, the probability corresponding to the z score is less than 0.00001
P value < 0.00001
True.
Integration is also called anti-differentiation, mathematically its an inverse function of differentiation.
For example, one of the first equalities learned is:
.
Which explains that if you differentiate a function (get its derivative) and then integrate the derivative you will obtain the original function.
Hope this helps.