Search & Filtering
A radio transmission tower is 150 feet tall. How long should a wire be if it is to be attached 5 feet from the top and is to make an angle of 20° with the ground? Give your answer to the nearest tenth of a foot.
explain clearly.
∫(7𝑐𝑠𝑐2𝑥 + 2 sec 𝑥 tan 𝑥)𝑑𝑥
. One of the undersecretaries of the Department of Labor and Employment (DOLE) claims that the average salary of civil engineers is 18,000php. A sample of 19 civil engineers' salaries has a mean of 17,350php and a standard deviation of 1,230php. Is there enough evidence to reject the undersecretary's claim at a 0.01 level of significance?
In a biology class, a group of students brought 9 mice for their experiment. They measured the weight and the length of the body of each mouse from the tail to the nose. The findings are recorded below:
Length in cm
13
14
14
11
12
13
12
14
14
Weight in kg
10
10
12
11
16
14
14
17
17
What is the slope of the regression equation? Round your answers to the nearest hundredths.
A study was conducted to investigate the relationship between roadway surface temperature (x) and pavement deflection (y). The data are as follows:
x
65.3
66.4
70.8
70.7
69.8
71.6
72.1
72.4
73.5
y
0.6144
0.6273
0.6668
0.6781
0.6497
0.6678
0.6783
0.6755
0.6873
Calculate the Pearson correlation coefficient. Round your answers to the nearest hundredths.
In a biology class, a group of students brought 9 mice for their experiment. They measured the weight and the length of the body of each mouse from the tail to the nose. The findings are recorded below:
Length in cm
4
5
5
5
7
8
9
9
10
Weight in kg
6
7
8
10
10
11
12
12
13
Calculate the Pearson correlation coefficient. Round your answers to the nearest hundredths.
9 defective electric toothbrushes were accidentally shipped to a drugstore by Cleanbrush Products along with 29 nondefective ones.
What is the probability the first two electric toothbrushes sold will not be defective?
Considering the IQ results, the school administrator is also planning to offer additional math courses to the top 20%. What should be the IQ score of the student to be qualified to take the additional math course?
a solution of 2z3+16i=0
Express the negation of each of these statements in terms
of quantifiers without using the negation symbol.
a) ∀x(x > 1)
b) ∀x(x ≤ 2)
c) ∃x(x ≥ 4)
d) ∃x(x < 0)
e) ∀x((x < −1) ∨ (x > 2))
f ) ∃x((x < 4) ∨ (x > 7))
