Answer:
0.2830
Step-by-step explanation:
edge
The required proportion of red drum fish would be 0.2830 between 22 and 23.5 inches in length.
What is Z -score?A Z-score is defined as the fractional representation of data point to the mean using standard deviations.
As per the given condition, if the fish is between 22 and 23.5 inches,
P(22≤ X ≤ 23.5)
You can rewrite it as:
⇒ P(X ≤ 22) - P(X ≤ 23.5)
The first step is to standard both values before using population data and the standard normal distribution to get the probability:
The formula of the standard normal is Z=(X-μ)/σ
⇒ P(Z ≤ (23.5-24)/1.4) - P(Z ≤ (22-24)/1.4) = P(Z ≤-0.36) - P(Z ≤ -1.43)
Now you look at the table of the Z-distribution for the cumulative probabilities for both z-score
⇒ (1 - 0.6406) - (1 - 0.9236)
⇒ 0.3594- 0.0764 = 0.2830
Hence, the required proportion of red drum fish would be 0.2830 between 22 and 23.5 inches in length.
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Write sin 64° in terms of cosine.
Answer:
Step-by-step explanation:
Rule
The sin of any angle = cos(90 - the angle used for the sine)
Sin(64) = cos(90 - 64)
Sin(64) = cos(26)
Check
Sin(64) = 0.8988
Cos(26) = 0.8988
sin (90-x)=cos (x) ( Trigonometry Indentity)
So, sin (90-26)= cos (26) = sin (64)
Cosine and Sine values appear to be related complementary, as in the above answer. If you’ve seen the pattern such as
cos (0) = sin (90)
cos (30) = sin (60)
cos (45) = sin(45)
cos(60) = sin (30)
cos (90) = sin (0),
The sum of the angles equal 90 degrees.
Which side lengths form a right triangle?
A 2,2√ 4
B 9, 40,41
C √5, 10 √125
Answer:
The answer is C, 100%.....
What is the mean absolute deviation of the data shown below?
Considering only the values of α for which tanαcos(2α) is defined, which of the following expressions is equivalent to tanαcos(2α)?
The equivalent expression at the point where it is undefined is ∞
Undefined expressionGiven the trigonometry expression
tanαcos(2α)
From trigonometry identity;
tanα = sinα/cosα
The expression above will become:
tanαcos(2α) = sinαcos(2α)/cosα
The function is undefined at the point where cosα = 0
cosα = 0
α = arccos(0)
α = 90degrees
Substitute α = 90degrees into the expression;
tanαcos(2α) = tan 90 cos(180)
tanαcos(2α) = ∞
Hence the equivalent expression at the point where it is undefined is ∞
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Steps for solving 5(2x - 8) = 20 are shown.
5(2x - 8) - 20
10X-40 - 20
10x - 40+ 40 - 20 + 40
10x = 60
10x 60
10 10
X-6
Original Equation
Step 1
Step 2
Step 3
Step 4
Step 5
Which of these is not part of the solution process?
A. Using the distributive property
B. Combining like terms
ОООО
O C. Dividing both sides by 10 to isolate the variable
D. Using the commutative property
While solving the equation 5(2x - 8) = 20, we used the distributive, combining like terms and Division property but commutative property is not part of the solution process, option D is correct.
The given equation is 5(2x - 8) = 20.
Using the distributive property, we get:
10x-40=20
Add 40 from both sides:
10x-40+40=20+40
Combining like terms:
10x=60
Divide both sides by 10 to isolate the variable:
10x/10=60/10
x=5
Hence, for solving the equation we have not used the commutative property. option D is correct.
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Which is the smallest set of real number that contains the the value "Square root of 50"
Answer:
7.071
Step-by-step explanation:
Hope this helps (:
BRAINLY ENSURED PLEASE HELP!!!!!
Select the correct answer from each drop-down menu.
A conical circus tent has a 20 ft central pole that supports it. The slant height of the tent is 26 ft long. Explain how to find the angle the tent pole makes with the sides of the tent.
The central pole forms a right triangle with the floor of the tent. The_____________of the missing angle is the ratio of the length of the central pole to the length of the side of the tent, which is __________ . Applying ___________, we find that the angle the tent pole makes with the sides of the tent is ____________ .
First blank choices:
sine
cosine
tangent
Second blank choices:
.77
.38
.65
1.30
Third Blank choices:
arcsine
arctangent
arccosine
Fourth blank choices:
67.7
39.6
49.5
Please help!! WILLL GIVE BRAINLIEST TO FIRST CORRECT ANSWER
The angle the tent pole makes with the sides of the tent is 39.6 degrees
What is trigonometric ratio?Trigonometric ratio is used to show the relationship between the sides and angles of a right angled triangle.
Let Ф represent the angle the tent pole makes with the sides of the tent. Hence:
cosФ = 20/26
Ф = 39.6 degrees
The angle the tent pole makes with the sides of the tent is 39.6 degrees
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Answer:
The central pole forms a right triangle with the floor of the tent. The
cosineof the missing angle is the ratio of the length of the central pole to the length of the side of the tent, which is
0.77. Applying
arccosine, we find that the angle the tent pole makes with the sides of the tent is
39.6.
Step-by-step explanation:
Help
thank you extra points
Answer:
B
Step-by-step explanation:
If the screws stay the same then u multiply both sides by 20
Answer:
Option 2
Step-by-step explanation:
If the screw : bolt ratio is 4 : 7 to make a metal table,
then the correct option is :-
The worker uses exactly 80 screws are 140 bolts to make 20 metal desksThe lifespans of a particular brand of graphing calculator are approximately normally distributed with a mean of 620 days from the purchase date and a standard deviation of 82 days. They will provide a warranty that guarantees a replacement if the calculator stops working within the specified time frame and are trying to decide what time frame to use.
a. If the company sets the warranty at a year and a half (say 540 days), what proportion of calculators will they have to replace ?
b. The company doesn’t not want to replace more than 1% of the calculators they sell. What length of time should the set for the warranty?
c. The company would like to set the warranty for 540 days, and still replace no more than 1% of the calculators sold. Increasing the average life of the calculators is too expensive, but they think they reduce the standard deviation of the lifespans. What standard deviation of lifespans would be needed to make this happen ?
d. Explain what achieving a smaller standard deviation means in this context.
Answer:
They will provide a warranty that guarantees a replacement if the calculator stopsworking within the specified time frame, and are trying to ...
Step-by-step explanation:
make me as brain liest
trent drank 3/5 of a gallon of water. nicholas drank 2/3 of a gallon. who drank more water?
Answer:
Nicholas.
Step-by-step explanation:
2/3 is also 10/15
3/5 is also 9/15
10/15 is more, so 2/3 is more
Hope this helped :D
Answer:
Nick, drank 1/15 more
Step-by-step explanation:
1. Create Equation
2/3-3/5
2. Solve
2/3-3/5
10/15-9/15
1/15
Caitlin is designing a railing for a set of stairs. The railing will begin at a height of 36 inches and follow the slant of the stairs, which decreases 9 inches for every 12 horizontal inches.
A drawing of the side view of a set of 4 stairs. There are lines drawn to show a railing that is at the highest point of the stairs and labeled 36 inches.
Which function can represent the height, y, of the railing in inches according to the horizontal distance in inches, x, from the top of the stairs?
Answer:
Since we are given that the railing will begin at a height of 36 inches and follow the slant of the stairs, which decreases 9 vertical inches for every 12 horizontal inches.
Thus the rate of change :
Rate of change represents the slope of line.
Since we are given that height, y, of the railing in inches according to the horizontal distance in inches, x, from the top of the stairs
And the initial height of the railing was 36 inches .
So,the function which would represent the situation can be shown using equation of line :
y = mx+c
So
c = 36 inches
So, the function :
Hence The function which can represent the height, y, of the railing in inches according to the horizontal distance in inches, x, from the top of the stairs :
grendeldekt and 407 more users found this answer helpful
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11.5K answers
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*Keyword:
Slope, proportion, relationship, decrease, line equation
The key to answering this question is to understand what means that the height of the railing decreases 9 vertical inches per 12 inches horizontal. This ratio represents the slope of the railing and therefore the slope of the line equation. We can write the relationship as follows:
Step-by-step explanation:
Answer:
y = –3/4 x + 36
Step-by-step explanation:
took the quiz
What is the volume of prism G?
Step-by-step explanation:
Any prism volume is V = BH where B is area of base and H is height of prism, so find area of the base by B = 1/2 h(b1+b2), then multiply by the height of the prism.
"x is between c and d" translates to c=
True
False
Answer:
i think it false
Step-by-step explanation:
Maths x please help
Hello
the same colour = ( RR- BB)
= 3/7 x 3/7 + 4/7 x 4/7
= 9/49 + 16/49
= 25/49
(Arithmetic Sequence)
Why does it keep saying I’m wrong? Is there something I’m missing?
Answer:
all were correct
Step-by-step explanation:
please mark me as brainlest
Zola wrote the area of the rectangle as `2a+3a+4a`.
Amir wrote the area as `(2+3+4)a.
Explain how they are both correct
please help me
Answer:
This is based on one of the fundamental laws of algebra:
Consider:
(2 + 4 + 6) = (2 *1 + 2 * 2 + 2 * 3)
One can quickly see that
(2 *1 + 2 * 2 + 2 * 3) = 2 * (1 + 2 + 3)
The common factor is merely brought outside of the combination that contains the common factor
How do you simplify this expression?
Each of the terms here (64, a^3, b^15, c^6) have a cube root.
The cube root of 64 is 4, the cube root of a^3 is a, the cube root of b^15 is b^5, and the cube root of c^6 is c^2.
You end up with the square root of 4 times a times b^5 times c^2
√4ab⁵c²
A smoothie shop charges $4.80 for a small size 12-ounce smoothie and $6.40 for a large size 16-ounce smoothie. Find which smoothie is the better buy (lower cost per ounce) by finding each unit price.
A. $4.80 for the 12-ounce smoothie is the better buy.
B. $6.40 for the 16-ounce smoothie is the better buy.
C. Both items are the same per ounce.
Answer:
C. the same
Step-by-step explanation:
4.80 divided by 12 equals .40
6.40 divided by 16 equals .40
what is the answer of 9-4m=19?
Answer:
[tex]9 - 4m = 19 \\ 4m = 9 - 19 \\ 4m = -10 \\ m = \cancel{\frac{-10}{4} } \\ \\ m = \frac{-5}{2} \\ \\ m = - 2.5[/tex]
hope helpful~
Answer:
m=-2.5
Step-by-step explanation:
Frank and Lisa are analyzing the chart, which shows the speed at which light travels through different media. A 2 column table with 4 rows with the column on the left labeled medium with entries water, air, glass, diamond. The column on the right is labeled speed of light in meters per second and are all times 10 Superscript 8 Baseline with entries 2. 25, 2. 99, 1. 97, 1. 24. Frank says that light travels through diamond with the greatest frequency. Lisa says that light travels through air with the greatest frequency. Which best describes the accuracy of these statements? Frank is correct because light travels through diamond at the slowest speed, and speed and frequency have an inverse relationship. Lisa is correct because light travels through air at the fastest speed, and speed and frequency have a direct relationship. Neither person is correct because light does not change frequency when it travels through different media. Both people are correct because light has both an inverse and a direct relationship with frequency, depending on the media.
The correct answer is
c) Neither person is correct because light does not change frequency when it travels through different media
we have given that The column on the right is labeled speed of light in meters per second and are all times 10 Superscript 8 Baseline with entries 2. 25, 2. 99, 1. 97, 1. 24.
What happened when light travels through the different media?light changes both wavelength and speed when it travels through different media, but the frequency remains the same
light changes both wavelength and speed when it travels through different media, but the frequency remains the same.
Therefore the option c is correct that
Neither person is correct because light does not change frequency when it travels through different media
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Answer:
The answerb is c
Step-by-step explanation:
Neither person is correct because light does not change frequency when it travels through different media.
what is the difference between a bisector and a perpendicular bisector?
Answer:
In Geometry, “Bisector” is a line that divides the line into two different or equal parts. It is applied to the line segments and angles.
A perpendicular bisector is a line that bisects another line segment at a right angle, through the intersection point. Thus, we can say, a perpendicular bisector always divides a line segment through its midpoint. The term bisect itself means dividing equally or uniformly.
Hope it helps!
Have a nice day!
A basketball tournament contains 128 teams. Each round of the tournament half of the teams are eliminated . How many rounds are held before the final four teams are left?
In which of the following would you multiply both sides of the equation by n?
Solve m/n=p for m.
Solve m - n = p for m.
Solve mn = p for m.
Solve m + n = p for m.
Answer:
first question : solve for m: multiply both sides by n
m/n=p
m*(n)/n=p*n
m= p*n
Step-by-step explanation:
to solve for m in the first part, you have to get rid of the extras next to m. in this case because m is divided by n, if we multiply both sides by n, both n on the m side will cancel out n/n=1 . this will leave m*1= n*p
because we can ignore the coefficient 1, the solution of ot will give you m=n*p
this also answers the question that's asked in the first place. in the first question, you have to multiply both sides by n in order to get the answer.
Does the mapping represent y as a function of x?
Answer:
No
Step-by-step explanation:
This is not a function because 6 has two different output which are 5 and 10 meaning this can’t be a function
A student has received the following test scores: 71%, 89%, 72%,
84% and 83%. What is the lowest score/grade they can receive
on the next test to maintain at least an 80% average?
Answer: 81%
Step-by-step explanation:
From the question, we are informed that a student received the following test scores: 71%, 89%, 72%,
84% and 83% in 5 tests and the student wants to maintain an average of 80%.
The lowest score/grade they can receive on the next test to maintain at least an 80% average first thus:
First, to make it easy we can remove the percent sign. Then we multiply 80 by 6 since we're calculating for 6 tests scores. This will be:
= 80 × 6
= 480
We then add all the 5 test scores. This will be:
= 71 + 89 + 72 + 84 + 83
= 399
We then subtract the values gotten. This will be:
= 480 - 399
= 81
This means the student must get at least 81%
yooo help mee 6th grade math
Answer:
im in 6th grade but i never learned that
Step-by-step explanation:
Answer:
1. Less than
2. Greater than
3. Less than (It’s the same as the first one)
Step-by-step explanation:
Explain how you would use addition to find the product of -2 and 5 using the integer tiles and the number line?
Answer:
this is hard-
Step-by-step explanation:
Which of the following equations best represents the graph below?
x=2
y = 2
x+y=2
None of these choices are correct.
Answer:
the answer is y=2 since for the whole time the graph just stays at 2
b
Hope This Helps!!!
Please help me vote you brainiest
Answer:
7 = 84
Step-by-step explanation:
3 + 4 = 7
36 + 48 = 84
7 = 84
Hope this helps :)
The area of circle A is 45 square units. Circle A and circle B are related by a scale factor of 4 3/4
Complete the following statements:
The area of circle B is 45 x ______
The ratio of the area of circle A to the area of circle B is _____
Both circles are similar, therefore:
The area of circle B is: 33.75 sq. units.
The ratio of the area of circle A to that of circle B = 9/16 = 0.75
What is the Area of Similar Circles?The ratio of the area of similar circles = ratio of the square of their scale factor.
Given the following:
Area of circle A = 45 sq. units.
Scale factor = 3/4
The area of circle B = 45 × 3/4 = 33.75 sq. units.
The ratio of the area of circle A to that of circle B = (3/4)² = 9/16 = 0.75
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