Since 0° < θ < 90°, you know that cos(θ) > 0.
Recall that
1 + tan²(θ) = sec²(θ)
and also that
sec(θ) = 1/cos(θ)
So if cos(θ) > 0, we also have 1/cos(θ) = sec(θ) > 0.
Then
sec(θ) = + √(1 + tan²(θ))
sec(θ) = √(1 + (7/8)²)
sec(θ) = √113 / 8
so that
cos(θ) = 1 / (√113 / 8) = 8 / √113
For this cylinder the radius r = 6.8 inches and the height L - 14.2 inches. Which is the BEST estimate for the volume? (Use TI = 3.14)
Answer:303.19
Step-by-step explanation: HOPE I HELPED
A six-week fitness program was designed to decrease the time it takes retired individuals to walk one mile. At the beginning of the program, 20 randomly selected retired individuals were invited to participate, and their times to walk a mile were recorded. After the six-week program, their times to walk a mile were again recorded. Most participants saw little to no improvement in their times to walk one mile; however, a few participants saw drastic improvements in their times to walk one mile. The program director would like to perform a hypothesis test to determine if the program reduces the mean time for retired individuals to walk a mile. Which of the following statements is true?
a. Because there are 40 observations in total, the sample size is large enough to assume that the sampling distribution of the sample mean differences is approximately normal.
b. Because the walk times before and after the program are paired, a hypothesis test is not appropriate.
c. The sampling distribution of sample means can be assumed to be approximately normal because the distribution of the sample data is not skewed.
d. Because the sample size of 20 is less than 30 and the improvements in walk times in the sample data appear to be skewed, the distribution of sample means should not be assumed to be approximately normal.
e. Because the program recruited only retired individuals, the distribution of sample means should not be assumed to be approximately normal.
Answer:
c. The sampling distribution of the sample means can be assumed to be approximately normal because the distribution of the sample data is not skewed
Step-by-step explanation:
From the given data, we have;
The category of the sample = Retired individuals
The number of participants in the sample = 20
The duration of program = six-weeks
The improvement seen by most participants = Little to no improvement
The improvement seen by few participants = Drastic improvement
Therefore, given that the participants are randomly selected and the majority of the participants make the same observation of improvement in the time to walk a mile, we have that, the majority of the outcomes show little difference in walk times after the program, therefore, the distribution of the sample data is not skewed and can be assumed to be approximately normal
Find the value of x and the measure of the missing angle labeled A:
Answer:
below with explaination
Step-by-step explanation:
angle A + angle B + angle C = 180
x+x+37+x+67=180
3x+104=180
3x=180-104
3x=76
x=76÷3
x=25.3
angle A = 62.3
Answer:
104 and 90
Step-by-step explanation:
What is the correct step to solve this equation?
m + 4 = 10
A. Subtract 4 from both sides
B. Subtract 10 from both sides
C. Add 4 to both sides
D. Add 10 to both sides
A study was designed to test whether applying metal tags is detrimental to a penguin. One variable examined is the survival rate 10 years after tagging. The scientists observed that 10 of the 50 metal tagged penguins survived, compared to 18 of the 50 electronic tagged penguins. Construct a confidence interval for the difference in proportion surviving between the metal and electronic tagged penguins (). Let be the proportion of penguins with metal tags that survived and be the proportion of penguins with electronic tags that survived. Round your answers to three decimal places.
Complete question :
A study was designed to test whether applying metal tags is detrimental to a penguin. One variable examined is the survival rate 10 years after tagging. The scientists observed that 10 of the 50 metal tagged penguins survived, compared to 18 of the 50 electronic tagged penguins. Construct a 90% confidence interval for the difference in proportion surviving between the metal and electronic tagged penguins (). Let be the proportion of penguins with metal tags that survived and be the proportion of penguins with electronic tags that survived. Round your answers to three decimal places.
Answer:
(-0.305 ; - 0.015)
Step-by-step explanation:
Sample size, n1 = 50
x1 = 10
n2 = 50
x2 = 18
P1 = x1 / n1 = 10/50 = 0.2
P2 = x2 / n2 = 18 /50 = 0.36
1 - P1 = 0.8 ; 1 - P2 = 0.64
Zcritical at 90% = 1.645
Confidence interval :
(P1 - P2) ± Zcritical * standard error
Standard Error = sqrt[(p1(1-p1))/n1 + (p2(1-p2))/n2]
S.E = sqrt((0.2(0.8))/50 + 0.36(0.64))/50)
S.E = sqrt((0.0032 + 0.004608))
S. E = sqrt(0.007808)
S. E = 0.0883628
(0.2 - 0.36) ± (1.645 * 0.0883628)
-0.16 ± 0.145356806
Lower boundary = - 0.16 - 0.145356806 = −0.305356806
Upper boundary = - 0.16 + 0.145356806 = −0.014643194
(-0.305 ; - 0.015)
PLSSS HELP DUE IN 5 MINUTES!!!!
PLEASE DO NOT ANSWER JUST FOR POINTS!!!
LOOK AT THE IMAGE FOR THE QUESTIONS AND ANSWERS
NOTE: The first answer “(0,9)” is incorrect I tried and it was wrong so please it’s either (9,0) or (3,0)
Answer:
I think it's (0,3) sorry if it not
Answer:
(3, 0)
Step-by-step explanation:
The vertex point is 3 units to the right of the origin, making the x-coordinate 3, but it doesn’t move up or down, meaning that the y-coordinate is 0.
so it’s (3,0)
Btw, the vertex is the point of the parabola where it’s the minimum or maximu (minimum in this case). You answered for the y-interceptm which is where the parabola touches the y-axis.
What is the area of the shaded region?
Answer:
17,680 ft²
Step-by-step explanation:
Shaded area = entire shaded rectangle area - unshaded rectangle area - square area
A = 200(100) - 24(30) - 40²
A = 20,000 - 720 - 1600 = 17,680
5x6x6x6x6x6x62x3x3x3x5x5
Answer:
didid yooooouuu juuuustttttt tyyyypppppeeeee tthhhhhissss iiiiinnnnnn
Step-by-step explanation:
what is thiiiiisssss
Answer:
1627128000 ?
Step-by-step explanation:
Can you please help me with this question:)
Answer:
D
Step-by-step explanation:
Answer:
letter d
Step-by-step explanation:
a loss is negative do a loss of 18 would be -18
I need help with this !!!
Answer:
no it cannot be
Step-by-step explanation:
because :
2/10 equals to 10/2 So 6/10 ÷ 2/10 =6/10×10/2
6×10=60
10×2=20 after reducing the fraction its 3/1
A rectangular prism has a volume of 240cm. It's height measures 8 cm. What is the area of its base
Answer: Base = 90 [tex]cm^{2}[/tex]
Step-by-step explanation:
5th grade math. correct answer will be marked brainliest.
Answer:
1, 2, 4, 11, 22, 44.
Step-by-step explanation:
Hope this helps :)
.
Write the expression in exponential form, and then evaluate
0.75x 0.75x 0.75
=
Answer:
3
.75
the solved version would be .421875
the numbers on top are translated in English to .75 to the power of 3.
Step-by-step explanation:
I'm pretty sure this is correct
pls help me with this math question pls Pls
Answer:
Hey V...
Step-by-step explanation:
This is ur answer....
Triangle fixed value = 180= 180 - (68 + 35)
= 180 - (68 + 35) = 180 - 103
= 180 - (68 + 35) = 180 - 103= 77
Hope it helps you,
Mark me brainliest plz....
FOLLOW ME! ;)
IS THIS CORRECT ???????
Answer:
yes
Step-by-step explanation:
Answer:Yep
Step-by-step explanation:
How should the decimal point in 52.48 be moved to determine the product 52.48×105 ?
Answer:
2 to the right i belive
please hepl with this math
Answer:
3,10,17,24
Step-by-step explanation:
An Arithmetic progression or arithmetic sequence is a sequence of numbers such that the difference between the consecutive terms is constant.
3,10,17,24
the difference is 7
E
Lisa wants to measure the height of a tree. She sights the top of the tree, using a mirror that is lying flat on the ground. The mirror is 38 ft from the tree, and
Lisa is standing 6.2 ft from the mirror, as shown in the figure. Her eyes are 6 ft above the ground. How tall is the tree? Round your answer to the nearest foot.
(The figure is not drawn to scale.)
Answer:
37
Step-by-step explanation:
38 times 6 divided by 6.2
228/6.2 = 36.774....
Round to meter is 37
find the probability that a randomly selected point within the circle falls in the red shaded area round to the nearest hundredth r = 4 cm 2.5 cm 3 cm 3 cm
Answer:
[tex]p\approx 0.39[/tex]
Step-by-step explanation:
We are given a circle of radius 4 cm, and a triangle inscribed within the circle with a vertical height of 6.5 cm and a base of 6 cm.
To find the probability a randomly selected point lands in the red area, we can divide the red area by the total area.
The area for a circle is given by:
[tex]A=\pi r^2[/tex]
Since the radius is 4 cm, the area of the circle or total area is:
[tex]A=\pi (4)^2=16\pi \text{ cm}^2[/tex]
The area for a triangle is given by:
[tex]\displaystyle A=\frac{1}{2}bh[/tex]
The base of the triangle is 6 cm total and the vertical height is 6.5 cm. Therefore, the area is:
[tex]\displaystyle A=\frac{1}{2}(6)(6.5)=19.5\text{ cm}^2[/tex]
The probability of landing in the red shaded area is:
[tex]\displaystyle p=\frac{\text{Red Region}}{\text{Total Region}}[/tex]
Therefore:
[tex]\displaystyle p=\frac{19.5}{16\pi}\approx 0.39=39\%[/tex]
PLS HELP HELP ME WITH a question pls
Step-by-step explanation:
d.
e +e+25=180°{sum of angle of triangle}
2e+25=180°
2e=155
e=155/2
e=77.5°
e.
55°+55°+f=180°{sum of angle of triangle}
f=180-110
f=70°
hope it helps.
Find the value of ln(-0.379).
Answer:
Undefined
Step-by-step explanation:
To obtain the In(-0.375)
In x = log e x = y
The In is the natural logarithm of a number
To obtain the natural logarithm value of a given number using a calculator :
Simply press the In button followed by the value to obtain the direct value of the number x.
The In of any negative value gives an error output.
The In of x is only defined for values of x greater Than 0; that is ; X > 0
In of negative numbers is undefined
Verify the identity.
sin (x + y) - sin (x - y) = 2 cos x sin y
Answer:
Step-by-step explanation:
Find the area of the rectangle, the side lengths are (z+9)(3z+8).
Calculator
Enter the unknown value that makes this statement true:
25% of O
is 30.
->
-
1
2
3
Answer:
X = 120
Step-by-step explanation:
here's your solution
=> we need to find the number whose 25%
is 30
=>. now , let the number be X
=> solve for X
=>. 25/100*X = 30
=> X = 30*100/25
=> X = 120
hope it helps
What is the equation that represents the relationship shown in the table?
I NEED HELP ON A TEST HELP QUICK
There are white blue and red boats at the marina. Two-thirds of the boats in the marina are white, 4/7 of the remaining ...
5 - 3(7n + 8) =??????????
Answer:
-21x-19
Step-by-step explanation:
Answer:
The answer is -19 - 21n
by the way in the image those are the letter N, I hope this helps you :)
PLS HELP
Simply the expression by combining like terms.
6x+9+2x+4=
Answer:
Combine like terms: 18x + 15x = 33x
(45 + 33x + 6x2)
Step-by-step explanation:
Answer:
Combine like terms: 18x + 15x = 33x
(45 + 33x + 6x2)
Step-by-step explanation:
Q. You're working in the sedan section of
Dean's Car Dealership. A customer makes a
down payment of 15% on a new car that costs
$13,450. How much is the down payment?
A. $201.75
B. $2,017.50
C. $269.00
D. $2,690.00
Answer:
B
Step-by-step explanation:
[tex]15%of$13,450=$2,017.50[/tex]%[tex]of13,450=2,017.50[/tex] therefore the down payment is $2,017.50
hey guys i need some help on this division problem i have
Answer:
3. 25/28
4. 1 1/7
Step-by-step explanation:
when you divide fractions just flip one of them and then multiply across
so instead of 5/7 ÷ 4/5 its
5/7 • 5/4
please mark me brainliest to help me get ace rank