Answer:
The value of given expression 52 - 4 of (17 - 12) + 4 × 7 = 60
Step-by-step explanation:
Given expression;
52 - 4 of (17 - 12) + 4 × 7
Find:
The value of given expression 52 - 4 of (17 - 12) + 4 × 7
Computation:
52 - 4 of (17 - 12) + 4 × 7
Using BODMAS rule;
52 - 4 of (17 - 12) + 4 × 7
52 - 4(17 - 12) + 4 × 7
52 - 4(5) + 28
52 - 20 + 28
80 - 20
60
So,
The value of given expression 52 - 4 of (17 - 12) + 4 × 7 = 60
Answer:
z = -ln│5eᵗ + C│
Step-by-step explanation:
dz/dt + 5eᵗ⁺ᶻ = 0
dz/dt = -5eᵗ⁺ᶻ
dz/dt = -5eᵗeᶻ
-e⁻ᶻ dz = 5eᵗ dt
e⁻ᶻ = 5eᵗ + C
-z = ln│5eᵗ + C│
z = -ln│5eᵗ + C│
Answer:
We can therefore conclude that the geographical distribution of hotline callers could be the same as the U.S population distribution.
Step-by-step explanation:
The null Hypothesis: Geographical distribution of hotline callers could be the same as the U.S. population distribution
Alternative hypothesis: Geographical distribution of hotline callers could not be the same as the U.S. population distribution
The populations considered are the Midwest, South, Northeast, and west.
The number of categories, k = 4
Number of recent calls = 200
Let the number of estimated parameters that must be estimated, m = 0
The degree of freedom is given by the formula:
df = k - 1-m
df = 4 -1 - 0 = 3
Let the significance level be, α = 5% = 0.05
For α = 0.05, and df = 3,
from the chi square distribution table, the critical value = 7.815
Observed and expected frequencies of calls for each of the region:
Northeast
Observed frequency = 39
It contains 18.1% of the US Population
The probability = 0.181
Expected frequency of call = 0.181 * 200 = 36.2
Midwest
Observed frequency = 55
It contains 21.9% of the US Population
The probability = 0.219
Expected frequency of call = 0.219 * 200 =43.8
South
Observed frequency = 60
It contains 36.7% of the US Population
The probability = 0.367
Expected frequency of call = 0.367 * 200 = 73.4
West
Observed frequency = 46
It contains 23.3% of the US Population
The probability = 0.233
Expected frequency of call = 0.233 * 200 = 46
Where observed frequency
Expected frequency
Calculate the test statistic value, x²
Since the test statistic value, x²= 5.535 is less than the critical value = 7.815, the null hypothesis will not be rejected, i.e. it will be accepted. We can therefore conclude that the geographical distribution of hotline callers could be the same as the U.S population distribution.
Find the volume of Figure A
9514 1404 393
Answer:
1 m³
Step-by-step explanation:
The ratio of volumes is the cube of the ratio of corresponding linear dimensions.
Va/Vb = ((2 m)/(8 m))³ = (1/4)³ = 1/64
Va = Vb(1/64) = (64 cu. m)/(64) = 1 cu. m
The volume of figure A is 1 m³.
Answer:
D. No solution
Step-by-step explanation:
Instead of solving everything I just plugged the numbers on equations and saw that for some of them the numbers satisfied one or two equation but not all. Also for some I saw that a number set makes the equation have no solution. For eg, I plugged option B into equation 3 and got 1305=756 which is never true so it is no solution.
Hope you understand :)
A. (2x2 + 1)(3x2 + 1)
+
B. (5x + 1)(x+1)
C. (2x + 1)(3x + 1)
O D. (3x + 1)(2x+2)
Answer:
C
Step-by-step explanation:
The top is 2x + 1 and the left is 3x + 1
Answer:
C
The top is 2x + 1 and the left is 3x + 1