Answer:
x = 65.4°
Step-by-step explanation:
the 2 angles x and 24.6° form ∠ ABD , that is
∠ ABC + ∠ CBD = ∠ ABD ( substitute values )
x + 24.6° = 90° ( subtract 24.6° from both sides )
x = 65.4°
it's simple
3t+3
just this
Answer:
0.6%
Step-by-step explanation:
We have a standard deck of 52 playing cards, which is made up of 13 cards of each type (hearts, diamonds, spades, clubs)
Therefore there are one nine hearts, one nine diamonds, one nine spades and one nine clubs, that is to say that in total there are 4. Therefore the probability of drawing a nine is:
4/52
In the second card it is the same, an eight, that is, there are 4 eight cards, but there is already one less card in the whole deck, since it is not replaced, therefore the probability is:
4/51
So the final probability would be:
(4/52) * (4/51) = 0.006
Which means that the probability of the event is 0.6%
Length: __ feet
Width: __ feet
Step-by-step explanation:
the perimeter (the way one time around it) of a rectangle is
2×length + 2×width
length = 3×width
2×(3×width) + 2×width = 160
6×width + 2×width = 160
8×width = 160
width = 160/8 = 20 ft
length = 3×width = 3×20 = 60ft
You have 2 lines. The first goes through points (6, 2) and (4, 6). The second goes through points (5,-1) and (1, 1). These lines are:
A) perpendicular
B) parallel
C) horizontal and vertical
D) none of the above
2) You have 2 lines. The first goes through points (7, 0) and (4, 6). The second goes through points (1, 1) and (5,3). These lines are:
A) perpendicular
B) parallel
C) horizontal and vertical
D) none of the above
Answer:
1. D
2. A
Step-by-step explanation:
To determine the type of line, find the slope.
1. Find the difference in y values over the difference in x values. Calculate the slope using the formula:
These are reciprocals of each but not the negative or opposite signs of each other. This is none.
2. Find the difference in y values over the difference in x values. Calculate the slope using the formula:
These are reciprocals of each and the negative or opposite signs of each other. These are perpendicular.
A. 64 and 65
B. 64 and 67
C. 65 and 66
D. 130 and 131
No links or fake answers pls. Thank you for understanding.
Answer:
C
Step-by-step explanation:
Consecutive numbers are directly next to each other on the number line, so B is already out of the question. Add each pair together to see which one is 131.
Answer:
C. 65 and 66
Step-by-step explanation:
Let x be first number
Then x + 1 be next number
x + (x + 1) = 131
2x + 1 = 131
2x = 130
x = 65
x + 1 = 66
employed by the federal government.
μ2: The mean training time for the population of airport security personnel
employed by private security companies.
The goal of the statistical analysis is to determine whether the sample data support the hypothesis that average training time for government-employed security personnel is higher than those employed by private security companies.
1. What is the null hypothesis H0?
Select one:
a. μ1- μ2 <= 0
b. μ1- μ2 < 0
c. μ1- μ2 =/ 0
d. μ1- μ2 > 0
2. What is the alternative hypothesis Ha?
Select one:
a. μ1- μ2 > 0
b. μ1- μ2 <= 0
c. μ1- μ2 = 0
d. μ1- μ2 >= 0
Answer:
1.a. H₀: μ₁ - μ₂ ≤ 0
2.b. H₁: μ₁ - μ₂ > 0
Step-by-step explanation:
Hello!
The objective is to compare the average training time for two groups of airport security personnel.
Group 1: Security personnel that works for the federal government
n= 12
X[bar]= 72 hs
S= 8hs
Group 2: Security personnel from private companies
n= 16
X[bar]= 65.4 hs
S= 12.3 hs
The goal of the analysis is to test if the average training time for government-employed security personnel is higher than those employed by private security companies, symbolically: μ₁ > μ₂
The null and alternative hypotheses are complementary and exhaustive.
The null hypothesis always represents the "no change situation" and therefore always carries the = symbol. Generally, the researcher's claim is stated in the alternative hypothesis.
With all this in consideration, the hypotheses for this experiment are:
H₀: μ₁ ≤ μ₂
H₁: μ₁ > μ₂
I hope this helps!