Answer:
Step-by-step explanation:
<u>Given sides of a rectangle</u>
- Length: l =4 − 7(3x + 4y)
- Width: w = 3x(−2y)
<u>Perimeter of rectangle</u>
<u>Using the given values</u>
- P = 2( 4- 7(3x + 4y) + 3x(-2y)) =
- 2( 4 - 21x - 28y - 6xy) =
- 8 - 42x - 56y - 12xy
Answer:
Test statistic = -2.44
There is enough evidence to support the strategist's claim.
Step-by-step explanation:
H0 : p = 0.41
H1 : p < 0.41
pˆ = 0.38
Test statistic :
z=pˆ−p/√p(1−p)/n
Z = (0.38 - 0.41) / √(0.41(1 - 0.41) / 1600
Z = - 0.03 / √0.0001511875
Z = - 0.03 / 0.0122958
Z = - 2.4399
Test statistic = -2.44
The Pvalue :
P(Z < -2.44) = 0.0073436
α - level = 0.02
If Pvalue < α ; Reject H0
0.0073436 < 0.02 ; We reject H0
Since Pvalue < α ; Hence, There is enough evidence to support the strategist's claim.
All the attatchments include the directions below:
Prepare a two-way table as shown below.
Enter the number 50 in the two-way table
Prepare a column total and enter 68 for the total number of people who split the check.
The total number of people who do not eat desert are 56, and the total number of people who took the survey are 122. Enter both values.
The remaining values can be found out as shown below.
The legs of an isosceles triangle are congruent; they have the same length, so if one leg measures 2 m, the other leg also measures 2 m.
2m + 2m + b = 7.5 m
b + 4 m = 7.5 m
b = 3.5 m
The length of the base is 3.5 m.
