Answer:
x = 16.2
Step-by-step explanation:
From the question given above, the following data were obtained:
Angle θ = 54°
Hypothenus = 20
Opposite = x =?
The value of x can be obtained by using the sine ratio as illustrated below:
Sine θ = Opposite / Hypothenus
Sine 54° = x / 20
Cross multiply
x = 20 × Sine 54
x = 20 × 0.8090
x = 16.2
Thus, the value of x is 16.2
Kevin wants to hike the Pacific Crest Trail, which is 2,653 miles long. If Kevin wants to
finish the hike in 7 months, how many miles should he hike each month?
miles
Answer:
378
Step-by-step explanation:
2,653 divided by 7
The chair of the operations management department at Quality University wants to construct a p-chart for determining whether the four faculty teaching the basic P/OM course are in control with regard to the number of students who fail the course. Accordingly, he sampled 100 final grades from last year for each instructor, with the following results? What is the estimate of the mean proportion of failures for these instructors?
INSTRUCTOR NUMBER OF FAILURES
Prof. A 13
Prof. B 0
Prof. C 11
Prof. D 16
Answer:
D. 16
Step-by-step explanation:
A quality analyst wants to construct a control chart for determining whether three machines, all producing the same product, are under control with regard to a particular quality variable. Accordingly, he sampled four units of output from each machine, with the following results:
MACHINE MEASUREMENTS
#1 17 15 15 17
#2 16 25 18 25
#3 23 24 23 22
In Exercises 1-4, the sample size n, probability of success p, and probability of
failure q are given for a binomial experiment. Determine whether you can use a
normal distribution to approximate the distribution of x.
1. n = 24, p = 0.85, 9 = 0.15
2. n = 15, p = 0.70, q = 0.30
3. n = 18, p = 0.90, q = 0.10
4. n = 20, p = 0.65, q = 0.35
Answer:
1. No
2. No
3. No
4. Yes
Step-by-step explanation:
Binomial approximation to normal.
The binomial probability distribution has parameters n, p and q.
If
[tex]np \geq 5[/tex] and [tex]nq \geq 5[/tex], you can use the normal approximation.
1. n = 24, p = 0.85, q = 0.15
[tex]np = 24*0.85 = 20.4 > 5[/tex]
[tex]nq = 24*0.15 = 3.6 < 5[/tex]
So no.
2. n = 15, p = 0.70, q = 0.30
[tex]np = 15*0.7 = 10.5 > 5[/tex]
[tex]nq = 15*0.3 = 4.5 < 5[/tex]
So no.
3. n = 18, p = 0.90, q = 0.10
[tex]np = 18*0.9 = 16.2 > 5[/tex]
[tex]nq = 18*0.1 = 1.8 < 5[/tex]
No
4. n = 20, p = 0.65, q = 0.35
[tex]np = 20*0.65 = 13 > 5[/tex]
[tex]nq = 20*0.35 = 7 > 5[/tex]
Yes
A spinner is shown below. What is the probability of the spinner
not landing on a striped section?
Answer:
[tex] \frac{7}{8} [/tex]
answer this please thanks
Answer:
4. c
6. e, a
Step-by-step explanation:
Hopefully, it correct
Jerome wants to buy grass seed to cover his whole lawn, except for the pool. The pool is 7 1/2 m by 3 1/4 m. Find the area the grass seed needs to cover.
Answer:
24 [tex]\frac {3} {8}[/tex] m
Step-by-step explanation:
[tex]\frac{15}{2}[/tex]×[tex]\frac{13}{4}[/tex]
[tex]\frac{15x13}{2x4}[/tex]
Simplify
[tex]\frac{195}{8}[/tex]
Answer: 24 [tex]\frac{3}{8}[/tex] m
The area of the grass seed Jerome needs to cover is A = 34.375 m²
What is the Area of a Rectangle?The area of the rectangle is given by the product of the length of the rectangle and the width of the rectangle
Area of Rectangle = Length x Width
Given data ,
Let the area of the grass seed needs to cover be A
Now , the area of the lawn L = ( 11 3/4 ) x 5 m²
The area of the lawn L = 58.75 m²
where the length of the pool l= ( 7 1/2 ) m = 7.5 m
The width of the pool is w = ( 3 1/4 ) m = 3.25 m
Now , Area of Rectangle = Length x Width
On simplifying , we get
Area of the pool P = 7.5 x 3.25 = 24.375 m²
Now , the area of the grass seed needs to cover A = L - P
The area of the grass seed needs to cover A = 58.75 m² - 24.375 m²
The area of the grass seed needs to cover A = 34.375 m²
Therefore , the value of A is 34.375 m²
Hence , the area of the grass seed is 34.375 m²
To learn more about area of rectangle click :
https://brainly.com/question/15225905
#SPJ3
One half of a number , n is at most 24
Answer:
So if N is 24, then the number is 12.
Step-by-step explanation:
24 / 2 = 12
What are the polar coordinates of the rectangular coordinates (2, -2√3)?
A. (4, 11π/6)
B. (4, 5π/3)
C. (2, 5π/3)
D. (2, 11π/6)
9514 1404 393
Answer:
B. (4, 5π/3)
Step-by-step explanation:
If you sketch the location of the point, you find the coordinates correspond to the side lengths of a 30°-60°-90° "special" triangle. The reference angle is 60°, or π/3 radians, and the magnitude of the vector is twice the short dimension, so is 2×2 = 4.
The polar coordinates are (4, 5π/3).
PLEASEEEE I NEED IT ASAP 51 POINTS IS THE MAX I CAN GIVE PLEASEEEEE HELP ME
Answer:
A
Step-by-step explanation:
2(10+7)
2(17)
=34
Answer:
the answer is a
Step-by-step explanation:
10 times 2 plus 7 times 2=34
For the following right triangle, find the side length x, Round your answer to the nearest hundredth.
12
x
6
Answer:
x=12
Step-by-step explanation:
PLEASE HELP ASAP!!! WILL MAKE YOU THE BRAINLYIST!!!!
Assume this dance floor is 20 feet long and 30 feet wide. How many people will fit on this dance floor if you assume each person will dance in a space that is 2 feet wide and 2 feet long?
What equation is represented by this graph?
Answer:
y= 1.2x+1
Step-by-step explanation:
(0,1) and (-5,-5) are coordinates that you already know and are fs about. So you just see rise over run. 6/5 = 1.2 which is your slope. the y-int is 1 bc thats where it intersects. so your equation is y=1.2x+1
double check:
y = 1.2(-5) + 1
y = -6 + 1
y = -5
coordinates : (-5,-5)
help me pls mathhh mhm
Answer:
f = -15
Step-by-step explanation:
3(f/3) equals f
3(-5) equals -15
The final equation becomes: f = -15
Find the probability
Answer:
33.3333%
Step-by-step explanation:
each side would be 50% and if one side is split between three it would equal if it was 16.6667 each
since tehre are two red sides multiply 16.6667 by 2 and u get 33.3333%
Write each product using an exponent.
9 × 9 × 9 × 9
Answer:
9^4 is what you’re looking for right?
Step-by-step explanation:
Answer:
9^4
Step-by-step explanation:
The number 9 is timed for 4 times (sorry for my broken english as my english is bad)
1) A store sells small and large TV sets in the ratio 2:3. The total stock is 70
sets.1) How many small and large sets are in stock? 2)If the number of large
sets is increased by 8,what is the new ratio of small to big*
Answer:
(a)
[tex]Small = 28[/tex]
[tex]Large = 42[/tex]
(b)
[tex]Ratio = 14 : 25[/tex]
Step-by-step explanation:
Given
[tex]L = Large\\ S = Small[/tex]
[tex]S : L = 2 : 3[/tex]
[tex]Total = 70[/tex]
Solving (a): Number of each set.
The small set is calculated as:
[tex]Small = \frac{S}{S + T} * Total[/tex]
[tex]Small = \frac{2}{2+3} * 70[/tex]
[tex]Small = \frac{2}{5} * 70[/tex]
[tex]Small = 0.4 * 70[/tex]
[tex]Small = 28[/tex]
Using complement rule.
[tex]Large = Total - Small[/tex]
[tex]Large = 70 - 28[/tex]
[tex]Large = 42[/tex]
Solving (b): Increase large by 8.
The ratio is then calculated as:
[tex]Ratio = Small : Large + 8[/tex]
[tex]Ratio = 28 : 42 + 8[/tex]
[tex]Ratio = 28 : 50[/tex]
Divide by 2
[tex]Ratio = 14 : 25[/tex]
4. What happens to the average kinetic energy of matter when heated?
Answer:
because it is melted
Step-by-step explanation:
let
body heating on 100c and its average is 50
An engineer is designing a fuel tank in the shape of a cylinder. The tank must have a volume of 3,500 cubic inches. The height of the cylinder must be twice the radius. What is the approximate radius of the cylinder?
8.2 inches
10.4 inches
12.1 inches
23.6 inches
By using the formula for the volume of a cylinder we will see that the approximate radius must be 8.2 inches.
How to get the radius of the cylinder?
Remember that for a cylinder of radius R and height H the volume is:
[tex]V = 3.14*R^2*H[/tex]
In this case, the height is twice the radius, so we have:
H = 2R
[tex]V = 3.14*R^2*2R = 6.28*R^3[/tex]
And we know that the volume must be 3,500 in^3, now we can replace that and solve for R, we will get:
[tex]3,500 in^3 = 6.28*R^3[/tex]
[tex](3,500 in^3/6.28)^{1/3} = R = 8.2 in[/tex]
The approximate radius of the cylinder must be 8.2 inches.
If you want to learn more about cylinders you can read:
https://brainly.com/question/9554871
Three more than four times the difference of x and 2 is 36
Answer:
3+4 (x - 2) =36 x= 10.25
Step-by-step explanation:
Write an equation to represent the following description. Seventeen more than eight times a number is −6.
Approximately how many gallons are in
7 liters? (1 L -0.26 gal.)
A 1.8 gal
C 7.3 gal
B 6.7 gal
D 46 gal
Answer:
A po ang answer kahit icompute pa po.
Step-by-step explanation:
hope it helps you po!
izllllllllllllllllllll
Answer:
32 :P
Step-by-step explanation:
10x2 is 20, 6x2 is 12, and 12+20=32
Hey y’all answers in the picture ABC or D. Plz help
Answer:
D
Step-by-step explanation:
Lets use the the chart. The (5,9) if the 5 was doubled that it would equal to 10. Now you subract 1 from it making it 9.
Consider the following statement. ∀a ∈ Z, (a − 1) a is not an integer. (a) Select the correct negation for this statement. For every integer a, a − 1 a is an integer. There is an integer a such that a − 1 a is not an integer. For every integer a, a − 1 a is not an integer. There is an integer a such that a − 1 a is an integer. (b) Is the given statement true or false? If the statement is true, enter TRUE; if the statement is false, enter a value of a that could be used as part of a counterexample that justifies its falseness.
Answer:
a) There is an integer a such that [tex]\frac{a-1}{a}[/tex] is an integer
b) False
Step-by-step explanation:
Statement : ∀a ∈ Z, (a − 1) a is not an integer
A) The correct negation will be :
There is an integer a such that [tex]\frac{a-1}{a}[/tex] is an integer
B) The Given statement is FALSE because
when we assume the value of a = 1
( a - 1 ) / a = (1 - 1 ) / 1 = 0 ; which is an integer
PLEASE HELP!! I WILL GIVE BRAINLIEST IF YOU SHOW YOUR WORK!
Answer:
Step-by-step explanation: You would add 2 to your diameter to every circle which will lead to 17.5 as your radius. Then you would use the formula A=πr2.(r^2 is the same thing as the diamiter). This then will get you a circumfrence of 962.11.
Find the sum of -3x^2-4x+3−3x 2−4x+3 and 2x^2-x+32x 2 −x+3.
Answer:
28x^2-10x+9
Step-by-step explanation:
28x^2-10x+9
find the median of the list of data. 12, 18, 21, 25, 30, 43
Mr. Thorbes bought a new journal for his poetry. If the journal normally cost $22 but was on sale for 20% off, how much did Mr. Thorbes save?
Answer:
He would save $4.40
Step-by-step explanation:
And in total he would pay 17.60
HURRY! What is the circumference of the circle below? Use 3.14 for π.
Answer:
2.14 divided by 5 x 2 is the ansewer
Step-by-step explanation:
What is the value of
2/3 + 3/7
Answer:
1 2/21
Step-by-step explanation:
:)))