Answer:
Test statistic = - 2.29
Pvalue = 0.0110
Step-by-step explanation:
The hypothesis :
H0 : p = 0.3
H1 : p < 0.3
Test statistic :
z=pˆ−p/√p(1−p)/n
pˆ = 0.2
Z = (0.20 - 0.30) / √(0.30(1 - 0.30) / 110
Z = - 0.1 / √0.0019090
Z = - 0.1 / 0.0436931
Z = - 2.29
Test statistic = -2.29
The Pvalue :
P(Z < -2.29) = 0.0110
Answer:
No.
Step-by-step explanation:
There are two different ways to do this - solve for x in the given equation or substitute the value for x and see if you get a true statement.
3x + 7 = 13 subtract 7 from both sides
3x = 6 divide by 3 on both sides
x = 2
3(3) + 7 = 13
9 + 7 = 13
16 ≠ 13
Therefore, x = 3 is not a solution for 3x + 7 = 13.
Given length of a lap = 5/8 mile.
Number of laps Carin ran = 3 1/2 laps.
3 1/2 can be read as 3 and a half. In improper fractions, it can be written as
(3*2+1)/2 = 7/2 laps.
In order to find the total distance covered in 3 1/2 or 7/2 laps, we need to multiply length of a lap by total number of laps ran.
Therefore, total distance covered = 7/2 × 5/8.
=
Multiplying across, we get
= 
=
Let us convert 35/16 into mixed fractions.
On dividing 35 by 16, we get 2 quotient and 3 remainder.
So, the mixed fraction would be 2 3/16.
Therefore, she ran 2 3/16 miles in 3 1/2 laps.
Answer:
Fibonacci numbers is a series of numbers in which each number is sum of two preceding numbers.
Step-by-step explanation:
It is a sequence in mathematics denoted F. Fibonacci numbers have important contribution to western mathematics. The first two Fibonacci numbers are 0 and 1, all the numbers are then sum of previous two numbers. Fibonacci sequence is widely used in engineering applications for data algorithms. Fibonacci sequence is basis for golden ratio which is used in architecture and design. It can be seen in petals of flower and snail's shell.
First let's put in the values.
-8(-2-3·-4)
Solve using PEMDAS
Parentheses (Multiplication)
-8(-2+12)
Parentheses (Addition)
-8 · 10
Multiplication
-80
The answer is -80
