Answer:
x + 0.05x
Step-by-step explanation:
Given
Earnings earned by the bookstore = x
percentage increase = 5%
Increment = 5% of x
Increment = 0.05x
book store's total increase in profit = Original earning + increment
book store's total increase in profit x + 0.05x
Hence the expression that represents the book store's total increase in profit is x + 0.05x
Answer:
They are vertical angles
x = 5
The mesure of the angles are 35, 35, 145, and 145
Step-by-step explanation:
vertical angles are derectly acrost from each other.
the equations 3x+20 and 10x-15, put into the equation 3x+20=10x-15 will solve for x.
20 = 10x − 15 − 3x
20 = 7x - 15
20 + 15 = 7x
35 = 7x
35/7 = x
5 = x
x = 5
The equations solved are 3 x 5 + 20 = 35 and 10 x 5 - 15 = 35
The sum of all the angles is 360, therefore 35 + 35 = 70
360 - 70 = 290
290/2 = 145
The last two angles are 145 degrees
Answer:
Option B
Step-by-step explanation:
By applying the converse theorem of corresponding angles,
"If corresponding angles formed between two parallel lines and the transversal line are equal then both the lines will be parallel"
Angle between line B and Y = 90°
Angle between line B and Z = 90°
Therefore, corresponding angles are equal.
By applying converse theorem, line Y and line Z will be parallel.
Option B will be the answer.
Answer:
24 hours because if she travels 25 miles in 6 hours and you multiply 25 by 4 to get 100, you need to multiply 6 by 4 in order for how long it takes her to run 100 miles. 6 X 4 = 24 hours
Answer:
a) T test
b) Claim
because critical value is not equal to test statistic then reject null hypothesis
Step-by-step explanation:
Construction of hypothesis
H₀ : p = 75
H₁ : p ≠ 75
Here Standard deviation = 7
sample = n = 50
Average = x-bar = 78
Level of significance:
∝ = 5% = 0.05
Degree of freedom:
df = n-1
= 50 -1 = 49
Critical value :
± 1.96
a) T test
test t is used as average X mean is used
Test Statistic:
t = X₂ - X₁ / Sd /√n
= 78 - 75 / 7/√50
=3.0304
Critical region :
We take two tail T test
test statistic is in reject interval. Reject H₀
b) Claim
because critical value is not equal to test statistic then reject null hypothesis
