Answer:
sin60=p/h
√3/2=y/10
y=10×√3/2=5√3
If three staff of Chukwudi and Sons Ltd. agreed to share their salary arrears in the ration of their ages, which are 18 years, 20 years, 22 years respectively. If the sum of the money collected is ₦120,000.00K, How much does the second staff receive?
The second staff member receives ₦40,000.
what is Ratio?In mathematics, a ratio is a comparison of two or more quantities of the same kind or unit. It is expressed as the quotient or fraction of one quantity to another. Ratios are used to compare and express the relationship between different quantities, such as distance, time, weight, or money.
To solve this problem, we need to first determine the total ratio of the ages of the three staff, which is 18 + 20 + 22 = 60.
Next, we need to calculate the share of each staff member by multiplying their age ratio with the total amount of money collected:
The first staff member's share = (18/60) x ₦120,000 = ₦36,000
The second staff member's share = (20/60) x ₦120,000 = ₦40,000
The third staff member's share = (22/60) x ₦120,000 = ₦44,000
Therefore, the second staff member receives ₦40,000.
To know more about Ratio visit:
https://brainly.com/question/12024093
#SPJ1
Solve the system of equations. If you answer all today I'll award the brainiest.
Step-by-step explanation:
The answer for C is:
(x,y) = (-166, 34)
I think your teacher wants you to write it as x=-166, x-=34 ? I'm not sure.
And for D it's:
(x,y) =
\((x,y) = ( \frac{16}{3}, - \frac{1}{9} )\)
Which would be x= 16/3, x= -1/9
strengths and limitations of visually interpreting histograms
Therefore, visually interpreting histograms can be a powerful tool for data analysis, but it is important to be aware of their strengths and limitations.
Histograms are an effective way to display data graphically. They are used to show how often certain values or ranges of values appear in a data set. Visual interpretation of histograms has many strengths and limitations. Some of the strengths of visually interpreting histograms are that they are easy to read and understand, they provide a clear picture of how the data is distributed, and they can help identify outliers or gaps in the data. However, some of the limitations of visually interpreting histograms are that they can be influenced by the number of bins chosen, the way the data is grouped, and the choice of the scale used. Therefore, it is important to carefully consider these factors when interpreting a histogram. In conclusion, visually interpreting histograms can be a powerful tool for data analysis, but it is important to be aware of their strengths and limitations.
Therefore, visually interpreting histograms can be a powerful tool for data analysis, but it is important to be aware of their strengths and limitations.
To know more about statement visit :
https://brainly.com/question/27839142
#SPJ11
what is 5 times a number minus 3 is 12 ?
Answer:
5*x-3=12
the number is 3 because 5*3=15 and 15-3=12
Answer:
3
Step-by-step explanation:
x - 3 = 12
12 + 3 = 15
15 - 3 = 12
5( ? ) = 15
15/5
? = 3
5(3) = 15 - 3 = 12
Hope this helps dude
If f(x)=x²+3x+5, what is f(3+h)
Answer: \(D. h^{2}+9h+23\)
Step-by-step explanation:
\(f(x)=x^{2} +3x+5\)
1. Input (3+h) instead of x.
\(f(3+h)=(3+h)^{2} +3(3+h)+5\\\)
2. Get rid of parentheses.
\(f(3+h)=9+6h+h^{2} +9+3h+5\\\)
\(f(3+h)=h^{2}+9h+23\)
Therefore, D is the answer.
Write the solution to the given inequality in interval notation
Help me please I don’t know
Answer: 218.5
Step-by-step explanation:
Detailed steps are shown in the attached document below.
a random sample of size 36 is taken from a population with mean equal to 64 and the standard deviation equal to 4. calculate the standard error of the mean.
Answer:
Step-by-step explanation:
The random sample of size =36
Taken from a population with mean= 64
Standard deviation=4
Standard error of the mean = 4/6=0.66
To learn more about standard deviation click here
https://brainly.com/question/475676
#1234
The standard error of the mean is calculated to be 0.66
The formula for the standard error of the mean is expressed as:
SE = σ/√n
SE = standard error of the sample
σ = sample standard deviation
n = sample size
Note that σ is the Greek letter sigma and √ is the square root symbol.
Given that,
The size of the random sample is 36.
based on a population whose mean was 64.
Standard deviation is 4
Standard error equals 4/\(\sqrt{36}\)=4/6 = 0.66
According to calculations, the standard error of the mean is 0.66.
Click here for additional information about standard error of the mean :
brainly.com/question/28583871
#SPJ4
Please help thank you
Answer:
Line A: 4
Line B: -2
Step-by-step explanation:
Line A
Pick any two points from the graph such as (2, -1) and (3, 3)
Use the gradient formula to calculate the gradient:
Change in y/change in x
-1 -3/2-3 = -4/-1 = 4
The gradient of line A is 4
Line B
(1, -1) and (0, 1)
-1 - 1/1 - 0 = -2/1 = -2
The gradient of line B is -2
Answer:
Line A is 4.
Line B is -2.
Step-by-step explanation:
See attached image
y - (y + y
x); use x = 1
8, and y = 2
A tree 54 feet tall casts a shadow 58 feet long. Jane is 5.9 feet tall. What is the height of janes shadow?
The height of Jane's shadow who is 5.9 feet tall is appoximately 6.3 feet
What is the measure of Jane's shadow?Given that, a tree 54 feet tall casts a shadow 58 feet long and Jane is 5.9 feet tall.
To find the height of Jane's shadow, we can use proportions and ratios.
Hence:
(Height of the tree) : (Length of the tree's shadow) = (Height of Jane) : (Length of Jane's shadow)
Plug in:
Height of the tree = 54
Length of the tree's shadow = 58
Height of Jane = 5.9
Let Length of Jane's shadow = x
54 feet : 58 feet = 5.9 feet : x
54/58 = 5.9/x
Cross multiply:
54 × x = 58 × 5.9
54x = 342.2
x = 342.2/54
x = 6.3 feet
Therefore, the measure of her shadow is approximately 6.3 feet.
Learn more about ratios and proportions at :
https://brainly.com/question/29774220
#SPJ1
Someone explain please
Answer:
SA = 94 ft²
Step-by-step explanation:
To find the surface area of a rectangular prism, you can use the equation:
SA = 2 ( wl + hl + hw )
SA = surface area of rectangular prism
l = length
w = width
h = height
In the image, we are given the following information:
l = 4
w = 5
h = 3
Now, let's plug in the information given to us to solve for surface area:
SA = 2 ( wl + hl + hw)
SA = 2 ( 5(4) + 3(4) + 3(5) )
SA = 2 ( 20 + 12 + 15 )
SA = 2 ( 47 )
SA = 94 ft²
If this answer helped you, please leave a thanks!
Have a GREAT day!!!
iF J is between C and T, find the value of x and JT. CJ=8x+5, CT=55, and JT=4x+2
x=
JT=
Answer:
x = 4JT = 18Step-by-step explanation:
Given three points J, C and T on a line, if J is between C and T then;
CJ + JT = CT.
Given CJ=8x+5, CT=55, and JT=4x+2, substituting this parameters in the equation above will give;
\((8x+5)+(4x+2)= 55\\8x+4x+5+2 = 55\\12x+7 = 55\\12x = 55-7\\12x = 48\\ x = \frac{48}{12} \\x = 4\)
SInce JT = 4x+2
\(JT = 4(4)+2\\JT = 16+2\\JT = 18\)
Create a function rule for the following:
x 0 3 6
f(x) -5 -3 -1
lmk asapppp please
Answer:
Hi
Step-by-step explanation:
the product of two numbers is 1,33,600. If the first number is 25 than what is the second number?
Answer:
Step-by-step explanation:
It looks much harder than it really is
Let the first number = 25
Let the second number = x
25 * x = 133600 divide both sides by 25
25*x/25 = 133600/25
x = 5344
Make sure the answer really is 133600 because the comma (one) should go before the 6.
Word Problem On Division
1. a cup can hold 2/9 ( fraction) litres of water. how many cups of water can be filled with 3 litre bottle?
how do I solve this?
Question 5 of 41
Which of the following best describes the volume of a solid?
A. It is the sum of the base area plus the lateral area of the solid.
B. It is the amount of three-dimensional space inside the solid.
C. It is the distance around the base of the figure.
D. It is the total area of the exterior surface of the solid.
SUBMIT
B. It is the amount of three-dimensional space inside the solid.
What is volume?Volume, measured in cubic units, is the 3-dimensional space occupied by matter or encircled by a surface. The cubic meter (m³), a derived unit, is the SI unit of volume. Volume is another word for capacity.
The volume of a solid is the measure of the amount of three-dimensional space that is occupied by the solid.
It is a measure of the physical space that the solid occupies in three-dimensional space. It is different from the surface area or perimeter of a solid which measure the amount of space that is taken up by the solid in two dimensions.
In summary, the volume of a solid refers to the amount of three-dimensional space that is enclosed by the solid, and it is an important measurement in many fields including engineering, architecture, and physics.
Learn more about Volume here:
https://brainly.com/question/1578538
#SPJ7
What is startfraction 3 pi over 4 endfraction radians converted to degrees? if necessary, round your answer to the nearest degree.
Unit conversion is a way of converting some common units into another without changing their real value. The value of (3π/4) radian converted to a degree is 135°.
What is unit conversion?Unit conversion is a way of converting some common units into another without changing their real value. for, example, 1 centimeter is equal to 10 mm, though the real measurement is still the same the units and numerical values have been changed.
Since π radian is equal to 180°. Therefore, the value of (3π/4) radian is equal to,
1 radian = 180°/π
(3π/4) radian = (3π/4) × (180°/π) = 135°
Hence, the value of (3π/4) radian converted to a degree is 135°.
Learn more about Units conversion:
https://brainly.com/question/4736731
#SPJ1
Answer:
option 2
Step-by-step explanation:
(-5
If m
+ 7 = 39, what is the value of m?
Answer:
m=32
Step-by-step explanation:
solve for m by subtracting 7 by both sides. Then you get m = 32
(can i get brainliest please)
Simplify:1/6x+42+2/5x-8/3x-19
Answer:
C; -21/10X + 23
Step-by-step explanation:
Combine like terms and simplify
Kira runs 3 miles in 25 minutes. At the same rate, how many miles would she run in 20 minutes?
An item is regularly priced at $25. It is now priced at a discount of 15% off the regular price. Use the ALEKS calculator to find the price now.
Kira would run approximately 2.4 miles in 20 minutes at the same rate. The item priced at $25 with a 15% discount would now be priced at $21.25.
We are given that Kira runs 3 miles in 25 minutes. To find out how many miles she would run in 20 minutes at the same running rate, we can set up a proportion. The proportion can be written as 3 miles/25 minutes = x miles/20 minutes. Cross-multiplying and solving for x, we get x = (3 * 20) / 25 = 12/5 = 2.4 miles. Therefore, Kira would run approximately 2.4 miles in 20 minutes at the same running rate.
To calculate the price of an item with a 15% discount, we can multiply the regular price by 1 minus the discount percentage. In this case, the regular price is $25, and the discount is 15%. Therefore, the discounted price would be $25 * (1 - 0.15) = $25 * 0.85 = $21.25. Thus, the price of the item now would be $21.25 after a 15% discount off the regular price of $25.
learn more about discount here:
https://brainly.com/question/1289629
#SPJ11
solve 6x - 3 = 3x + 12
Answer:
x=5
Step-by-step explanation:
May I have brainiest I'm trying to level up!
</3 PureBeauty
Answer:
x=5
Step-by-step explanation:
6x-3 = 3x +12
+3 +3
6x = 3x +15
-3x -3x
3x = 15
divided both sides by 3 to get your answer
the distribution of test scores shows that most students did not do well on the test; some did fine and only a few did exceedingly well. the distribution is likely to be .
The distribution of test scores shows that most students did not do well on the test; some did fine and only a few did exceedingly well. The distribution is likely to be skewed.
What is a skewed distribution?
A skewed distribution is one in which the data is not uniformly distributed but rather concentrated on one side. In simple words, a skewed distribution is one in which one tail has a greater number of observations than the other tail, with the majority of data falling in the tail with the greater number of observations.
In a symmetric distribution, the data is uniformly distributed on both sides of the median, with half of the data lying to the right and half to the left.
Thus, the distribution of test scores shows that most students did not do well on the test; some did fine and only a few did exceedingly well. The distribution is likely to be skewed.
To know more about skewed distribution: https://brainly.com/question/28315480
#SPJ11
What is the slope of y=-4
Answer:
Zero
Step-by-step explanation:
Any equation that is y = a number, you have a horizontal line, with a zero slope, think of HOY, H(orizontal) O=zero Y=#
please help all of my piont help me
pleeeeeeeeeeeeeeeeeeeeeeeeeaaaaaaaaaaaaaaaaaasse
Answer:
3) -82.4)-70.5) -15.6)-14.7)58)159)1610 )1611)6412)21.13)1500 in the middle (not above not below)14)450 mAnswer:
3) -82 4)-70 5) -15 6)-14 7)5 8)15 9)16 10)16 11)64 12)21 13)1500 in the middle 14)450
Step-by-step explanation:
Gary and Georgia split £56 in the ratio
2:5.
How much money does Georgia get?
Give your answer in pounds (£).
Answer:
£40
Step-by-step explanation:
sum the parts of the ratio, 2 + 5 = 7 parts
divide the amount by 7 to find the value of one part of the ratio.
£56 ÷ 7 = £8 , then
5 parts = 5 × £8 = £40 ← amount Georgia gets
Out of £56, the money received by Georgia is equivalent to $40.
What is Ratio?
The ratio is defined as the comparison of two quantities of the same units that indicates how much of one quantity is present in the other quantity.
Given is Gary and Georgia who split £56 in the ratio 2:5.
There are total of 7 parts. This means that £56 is divided equally among the seven parts. Assume that the one part is equivalent to x. Then the cost of 7 parts = 7x. From the question, we can write -
7x = 56
x = 8
Georgia has 5 parts, therefore the money received by Georgia will be = 5 x 8 = 40
Therefore, out of £56, the money received by Georgia is equivalent to $40.
To solve more questions on Ratios, visit the link below-
https://brainly.com/question/20841043
#SPJ5
Consider a single spin of the spinner. a spinner contains 4 equal sections: 1, 2, 4 and 3. sections 1 and 4 are shaded. the spinner is pointed at number 2. which events are mutually exclusive? select two options.
To determine which events are mutually exclusive, we need to identify the events that cannot occur at the same time.
The options for the events are: Landing on a shaded section Landing on an even number Landing on an odd number Landing on a section that is not shaded Now let's analyze the options Landing on a shaded section (1 or 4) and landing on an even number (2 or 4) are mutually exclusive, as they cannot occur at the same time.
Landing on a shaded section (1 or 4) and landing on an odd number (1 or 3) are not mutually exclusive, as they can occur at the same time if the spinner lands on section 1. The mutually exclusive events in this scenario are: Landing on a shaded section Landing on an even number
To know more about exclusive visit:
https://brainly.com/question/32256304
#SPJ11
From the given information, the two mutually exclusive events are:
1. Landing on a shaded section (sections 1 or 4)
2. Landing on an even number (sections 2 or 4)
Therefore, these are the two options that are mutually exclusive based on the spinner's configuration.
The term "mutually exclusive" refers to events that cannot occur at the same time. In this case, we need to determine which events on the spinner are mutually exclusive given the information provided.
To start, let's list the numbers on the spinner: 1, 2, 4, and 3. We are told that sections 1 and 4 are shaded, and the spinner is pointed at number 2.
Event 1: Landing on a shaded section.
This event includes landing on either section 1 or section 4. Since these sections are shaded, they cannot occur simultaneously with any other section on the spinner.
Event 2: Landing on an odd number.
This event includes landing on either section 1 or section 3. These sections are mutually exclusive with the even numbers, which are 2 and 4.
Event 3: Landing on a multiple of 4.
This event includes landing on section 4. Since section 4 is shaded, it cannot occur simultaneously with any other section on the spinner.
Event 4: Landing on an even number.
This event includes landing on either section 2 or section 4. These sections are mutually exclusive with the odd numbers, which are 1 and 3.
Learn more about mutually exclusive from the link:
https://brainly.com/question/12961938
#SPJ11
What did the healthy fern notice about the sick fern that caused her concern? From moss mack
The health fern noted that the sick fern's leaves were withering, fracturing, and struggling to self-heal.
What is Health?Human health is the degree to which a person can continue to manage his or her bodily, emotional, mental, and social needs in the context of the environment.
One of many possible definitions is this one. There are many different definitions of what is considered "excellent" health. A sea-level resident moving to a new in the mountains, where the ambience has a lower content of oxygen, may feel a sudden and anemia until his or Hannah red blood cell count adapts itself to the altitude, or the relatively frail person who remains "well" within the ordinary environment of his or her presence may pass away from a heart attack from heavy shoveling after a snowstorm.
To know more about Health:
https://brainly.com/question/13179079
#SPJ3
Find the inequality between -4 and 5.
Answer:
If x is the number between -4 and 5 we can write -4 < x < 5. The reason we don't use the ≤ sign is because "in between" is exclusive, meaning -4 and 5 are not included in the solution set.