Answer: 98268
Step-by-step explanation:
Given: In an international company,
Employees in one country = 22,700
If this is 23.1% of the total number of company's employees,
[\(1\%=\dfrac1{100}\) , replace 'of' by '×']
i.e. 23.1% of (total employees) = 22700
\(\Rightarrow\ \dfrac{23.1}{100}\times\text{(total employees)}=22700\\\\\Rightarrow\ \text{Total employees}=\dfrac{22700\times100}{23.1}\\\\\Rightarrow\ \text{Total employees}=98268.4\approx98268\)
Hence, there are 98268 employees in total.
Kiran says that -2 < -5 . Do you agree with Kiran
Answer:
No
Step-by-step explanation:
-2 is a larger number than -5, if you were to plot these two numbers on a number line, -5 would be further to the left of 0 than -2, which makes it a smaller number. The sign < means less than. The statement being made is that -2 is less than -5, which is false.
Answer:
no
Step-by-step explanation:
I took a test and this question was on it and the answer was no.
An arc subtends an angle of 86 at the cir- cumference of a circle whose radius is 8 cm. Find the length of the are to the near- est whole number. (Take = 3.14) (Hint: an angle at the centre = 2x the angle at the circumference).
Answer:
We can use the formula for the length of an arc of a circle, which is:
length of arc = (angle/360) × 2πr
where angle is the angle subtended by the arc at the center of the circle, r is the radius of the circle, and π is approximately 3.14.
In this problem, the angle subtended by the arc at the circumference of the circle is 86 degrees. Since the radius of the circle is 8 cm, the diameter is 2 × 8 = 16 cm, and the circumference is 2πr = 2π(8) = 16π cm.
Using the hint given in the problem, we can find the angle subtended by the arc at the center of the circle:
angle at center = 2 × angle at circumference
= 2 × 86
= 172 degrees
Substituting into the formula, we have:
length of arc = (172/360) × 2π(8)
≈ 7.5 cm
Rounding to the nearest whole number, the length of the arc is 8 cm.
find the volume of a pyramid with a square base, where the perimeter of the base is 5.7 cm 5.7 cm and the height of the pyramid is 8.6 cm 8.6 cm. round your answer to the nearest tenth of a cubic centimeter.
The volume of the pyramid is approximately 5.9 cm³.
What is the volume of pyramid?To find the volume of a pyramid with a square base, you can use the formula:
Volume = (1/3) * base area * height
First, let's find the area of the square base. The perimeter of the base is given as 5.7 cm, which means each side of the square has a length of 5.7 cm / 4 = 1.425 cm.
The area of a square is given by the formula:
Area = side length * side length
Substituting the side length, we have:
Area = 1.425 cm * 1.425 cm = 2.030625 cm²
Now, we can calculate the volume of the pyramid:
Volume = (1/3) * base area * height
= (1/3) * 2.030625 cm² * 8.6 cm
= 5.91834375 cm³
Rounding to the nearest tenth of a cubic centimeter, the volume of the pyramid is approximately 5.9 cm³.
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The total cost, c, to hire Heath to babysit is $10.50 per hour plus an $8 fee for driving to a family’s home. Let h represent the number of hours that Heath babysits. Which equation(s) represent the situation? Select all that apply.
Multiple select question.
A)
10.5h+8=c
B)
c−8=10.5h
C)
c=10.5+8h
D)
c(10.5+8)=h
E)
h(10.5+8)=c
Answer: A- 10.5h+8=c
Step-by-step explanation:
The equation(s) represent the situation will be A) 10.5h+8=c.
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
We have been given that the total cost, c, to hire Heath to babysit is $10.50 per hour plus an $8 fee for driving to a family’s home.
Let h be represent the number of hours that Heath babysits.
Therefore, the equation would be;
10.5h = the total cost of the number of hours that Heath babysits.
Then;
10.5h+8=c
Hence, the equation(s) represent the situation will be A) 10.5h+8=c.
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sat math scores follow a normal distribution with a mean of 511 and a standard deviation of 110. suppose we choose a student at random. what is the probability that the student scores between 450 and 600?
The probability that a student scores between 450 and 600 on the SAT math section is approximately 0.4147 or 41.47%.
To find the probability that a student scores between 450 and 600 on the SAT math section, we need to use the properties of the normal distribution. We know that the mean is 511 and the standard deviation is 110.
First, we need to standardize the values of 450 and 600 using the formula:
z = (x - μ) / σ
where x is the value we want to standardize, μ is the mean, and σ is the standard deviation.
For 450:
z = (450 - 511) / 110 = -0.55
For 600:
z = (600 - 511) / 110 = 0.81
Next, we need to find the area under the normal curve between these two standardized values. We can use a table or a calculator to find that the area between z = -0.55 and z = 0.81 is approximately 0.4147.
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Does the expected value of a random variable have to equal one of the possible values of the random variable? explain
No, just like the average (mean) it is a mathematical quantity that is determined by its mathematical definition and the everyday meaning of “expected” is only a descriptive hint toward what it represents.
What does the expected value of a random variable mean?
E[X] stands for the expected value of a random variable. The expected value of a random variable is also known as its mean, in which case we use the notation X. It can be thought of as the "average" value obtained by the random variable.Is the expected value always equal to the mean?
The primary distinction between "mean" and "expected value" is that the former is typically used to describe a frequency distribution and the latter, a probability distribution. In frequency distribution, variables and their occurrence frequencies make up the sample space.Learn more about expected value of a random variable brainly.com/question/22435257
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8. How many randomly selected employers (minimum number) must we contact in order to guarantee a margin of error of no more than 4% (at 95% confidence)?.
You need 38 randomly selected employers (minimum number) must we contact in order to guarantee a margin of error of no more than 4% (at 95% confidence).
To determine the minimum number of employers you need to contact in order to guarantee a margin of error of no more than 4% (at 95% confidence), you can use the following formula:
n = (Z² * p * (1-p)) / e²
Where:
n is the minimum sample size requiredZ is the standard score for the desired level of confidence (1.96 for 95% confidence)p is the estimated proportion of the population that has a certain characteristic (e.g. a certain salary range)e is the margin of error you are willing to accept (4% in this case)So, for example, if you estimate that 50% of the employers you are interested in have a certain characteristic (p=0.5) and you want to have a margin of error of no more than 4% (e=0.04), you would need to contact at least 38 employers (n=38).
Keep in mind that this formula assumes a simple random sample, meaning that every employer in the population has an equal chance of being selected. If you are using a different sampling method, the formula for determining the minimum sample size may be different.
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If you estimate that 50% of the employers you are interested in have a certain characteristic (p=0.5) and you want to have a margin of error of no more than 4% (e=0.04), you would need to contact at least 38 employers (n=38).
Now, According to the question:
Finding Sample Size for Estimating a Population Proportion
We use the formula :
n = \((\frac{z^*}{M} )^2p(1-p)\)
We use p = p (bar)
M is the margin of error
p(bar) is an estimated value of the proportion
We want to construct a 95% confidence interval for p with a margin of error equal to 4%.
Because there is no estimate of the proportion given, we use p(bar) = 0.50 for a conservative estimate.
For a 95% confidence interval, \(z^*\) = 1.960
n = \((\frac{1.960}{0.04} )^2(0.5)(1-0.5)\) = 600.25
This is the minimum sample size, therefore we should round up to 601. In order to construct a 95% confidence interval with a margin of error of 4%, we should obtain a sample of at least n = 601.
if you estimate that 50% of the employers you are interested in have a certain characteristic (p=0.5) and you want to have a margin of error of no more than 4% (e=0.04), you would need to contact at least 38 employers (n=38).
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help on math will give brain list middle school question not high school
Answer: 5, | 4 |, | -1 |, -2
Answer:
0, l-1l, l-2l, l4l, 5
Step-by-step explanation:
The absolute value bars l l, turn any negative number positive and any positive number remains positive.
In buffalo, New York the temperature was -12F in the morning. What will the temperature be if it drops 9F
Answer:
The correct answer is -21 degrees.
Step-by-step explanation:
We know that the original temperature was -12 degrees. If the temperature drops another 9 degrees, this means that it is getting colder or the temperature is getting lower; this lets us know that we should subtract 9 from the original temperature. This is modeled below:
-12 - 9
Now, we simply have to perform the subtraction to get:
-21 degrees
Hope this helps!
The level of various substances in the
blood influences our health. Here are
measurements of the level of phosphate
in the blood of a patient, in milligrams of
phosphate per deciliter of blood, made
on 6 consecutive visits to the clinic:
5.6, 5.2, 4.6, 4.9, 5.7, 6.4
What is the standard deviation for these
data?
A. .642
B. 5.4
O. 32.4
D. 177.02
Answer:
A
Step-by-step explanation:
Hoping you can solve all of these problems!
n - 4 - 9
4n - n
-3x - 9 +15x
-9k + 8k
-16n - 14n
15n - 19n
Answer:
n-133n12x-9-k-30n-4nStep-by-step explanation:
Solve for x. Round to the nearest tenth, if necessary.
So the answer is 1.3 after rounding to 10.
Which of the following factors does NOT control the stability of a slope?
the angle of repose for intact bedrock
whether the slope is rock or soil
the amount of water in the soil
the orientation of fractures, cleavage, and bedding
The factor that does NOT control the stability of a slope is the angle of repose for intact bedrock. The angle of repose refers to the steepest angle at which a pile of loose material remains stable without sliding. It is mainly applicable to loose materials like soil and granular substances, not intact bedrock.
Bedrock stability depends on factors such as its strength, fracturing, and geological properties, rather than the angle of repose. Factors that control the stability of a slope include whether the slope is rock or soil. Rock slopes tend to be more stable than soil slopes due to the cohesive nature of intact rock.
The amount of water in the soil also affects slope stability, as excessive water can increase pore pressure and reduce the shear strength of the soil, leading to slope failure. Additionally, the orientation of fractures, cleavage, and bedding in the rock can influence slope stability by creating planes of weakness or strength.
To summarize, while the angle of repose is a significant factor in slope stability, it is not applicable to intact bedrock. The stability of a slope is influenced by the type of material (rock or soil), the presence of water, and the orientation of fractures and bedding.
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Which of these is a consumable good?
O Clothing
O Cell phone
O Automobile
O Food
Answer:
Food
Step-by-step explanation:
Answer:
food
Step-by-step explanation:
7x-y=7 find y intercepts
x- 0, 1, 2, 3, 4
y-
WILL GIVE BRAINLIEST IF RIGHT
The graph below shows the relationship between the number of miles traveled and the time.
Which statement about the unit rate of the graph is true?
A. The unit rate is 1.
B. The unit rate is 30.
C. The unit rate is 1/12.
D. The unit rate is 12.
Answer:
I think c
Step-by-step explanation:
When y=1 x=12
Answer: The unit rate is 1/12
Step-by-step explanation:
1. How many total engineers liked science 2. Which type of engineer was surveyed the most 3. P(mechanical engineer)4. P(engineer who liked math)5. P(engineer who liked science or is a chemical engineer)6. P(electrical or chemical engineer)7. P(mechanical engineer who liked science)8. P(engineer who liked math and is an electrical engineer)Answer the following problems about two way frequency tables fill in the missing cells of each table make sure to reduce your fraction.
Step 1; Complete the table
1. The number of engineers that like science are 266
2. The engineer surveyed the most is Electrical Engineers
3. Pr(mechanical Engineer) is
\(\begin{gathered} \frac{total\text{ number of mechanical engin}er}{\text{total}} \\ \text{Total number pf mechanical engine}er\text{ =170} \\ \text{Total =516} \\ =\frac{170}{516} \\ =0.33 \end{gathered}\)4. Pr(engineer who liked maths ) is
\(\frac{Total\text{ number of engin}er\text{ who liked maths }}{ground\text{ total}}=\frac{254}{516}=0.49\)5. Pr( Engineer who like science or is a chemical engineer) is
Let Pr(engineer like science)=E and Pr(a chemical engineer)=S
The Pr( Engineer who like science or is a chemical engineer) is given as
\(\begin{gathered} Pr(E)+Pr(S)-Pr(\text{EnS)} \\ \text{where Pr(E)=}\frac{262}{516},\text{ Pr(S)=}\frac{171}{516},\text{ Pr(EnS)=}\frac{91}{516} \end{gathered}\)Hence, we have
\(\begin{gathered} \frac{262}{516}+\frac{171}{516}-\frac{91}{516} \\ =\frac{262+171-91}{516}=\frac{342}{516}=0.66 \end{gathered}\)6. Pr( Electrical or chemical) is
\(\begin{gathered} Pr(\text{Electrical) +Pr(chemical)} \\ Pr(\text{electrical)}=\frac{175}{516},\text{ Pr(chemical)}=\frac{171}{516} \\ \text{hence,} \\ \frac{175}{516}+\frac{171}{516}=\frac{346}{516}=0.67 \\ \end{gathered}\)7. Pr(Mechanical engineer who liked science) is given as
\(\begin{gathered} Pr(M|S)=\frac{Pr(MnS)}{Pr(S)} \\ Pr(MnS)=\frac{81}{516},\text{ Pr(S)=}\frac{262}{516} \\ Pr(M|S)=\frac{81}{516}\times\frac{516}{262}=\frac{81}{262}=0.31 \end{gathered}\)8. Pr(an engineer who liked maths and is an electrical engineer)
\(\frac{85}{175}=0.49\)David spent 3 hours doing his homework on Monday. Which equation should be used to find h, the percent of the day he spent doing homework on Monday?
The equation to represent the percent h the day he spent doing homework on Monday is \(\frac{h}{100} = \frac{3}{24}\)
How to find the equation to represent the percent of the day he spent doing homework on Monday?David spent 3 hours doing his homework on Monday. The equation that can be used to find h, the percent of the day he spent doing homework on Monday can be found as follows:
We have 24 hours in a day. So, on Monday she uses 3 hours for her homework.
Therefore, the equation to represent the percentage h is as follows:
h = 3 / 24 × 100
h = 300 / 24
24h = 300
h = 300 / 24
h = 12.5%
Hence, the equation is as follows;
\(\frac{h}{100} = \frac{3}{24}\)
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14. Mr. Lebedev bought a Lamborghini for $220,000. After driving it for a month, the
value of it decreased by 15%. But after taking it to a shop and getting it repaired, the
value of it increased by 30%. What is the final value of the car?
Answer:
243,100
Step-by-step explanation:
subtract 220,000 by 15% and you get 187,000 then add 30% and u get 243,100 I am positive I hope this helps :)
The extract of a plant native to Taiwan has been tested as a possible treatment for Leukemia. One of the chemical compounds produced from the plant was analyzed for a particular collagen. The collagen amount was found to be normally distributed with a mean of 61 and standard deviation of 9.8 grams per mililiter. a. What is the probability that the amount of collagen is greater than 60 grams per milliliter
Answer:
45.94%
Step-by-step explanation:
Probability-Above 45.94%
Z =0.1
x= 61
µ 60
σ 9.8
five cards are dealt from a standard 52-card deck. how many such hands have a full house of kings and fives (3 kings and 2 fives)?
In other words, there are 24 different ways to get a full house of kings and fives when dealing 5 cards from a standard 52-card deck.
To calculate the number of hands with a full house of kings and fives, you need to consider the number of ways to choose 3 kings and 2 fives from a standard 52-card deck. There are 4 kings and 4 fives in the deck.
To choose 3 kings, use the combination formula: C(4,3) = 4! / (3!(4-3)!) = 4.
To choose 2 fives, use the combination formula: C(4,2) = 4! / (2!(4-2)!) = 6.
Now, multiply these results together to find the total number of hands with a full house of kings and fives: 4 * 6 = 24.
So, there are 24 possible hands with a full house of kings and fives when dealt from a standard 52-card deck.
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If a person consumes a 2500 kcal daily diet, of which 35% is from proteins, the individual would consume approximately grams of protein. (round to the nearest gram)
Approximately 109 grams of protein would be consumed on a 2500 kcal daily diet, with 35% of the calories coming from proteins.
Protein intake is an important aspect of a healthy diet, as it plays a vital role in various bodily functions. To calculate the grams of protein consumed, we start by determining the total calorie intake and then find the proportion of calories that come from proteins. In this case, the daily diet consists of 2500 kcal. To find the protein calories, we multiply this by the percentage of calories from proteins, which is 35%. This gives us 0.35 * 2500 = 875 kcal from proteins.
Next, we need to convert these calories into grams of protein. Each gram of protein provides approximately 4 calories. Therefore, we divide the protein calories (875 kcal) by 4 to get the grams of protein consumed, which is 875 / 4 ≈ 218.75 grams. Rounding this to the nearest gram, the individual would consume approximately 219 grams of protein on a 2500 kcal daily diet with 35% of the calories coming from proteins.
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who understands this sum?
Answer:
$31728
Step-by-step explanation:
sorry if I'm wrong
The sum of the series: -2+(-8) + (-32)++ (-2048) equals
I really neeed help!!! Please I’m begging you!!!!!!
Answer:
-2090
Step-by-step explanation:
1) Remove parentheses.
-2 -8 -32 -2048
2) Simplify - 2 - 8 to -10.
-10 - 32 - 2048
3) Simplify -10-32 to -42.
-42 - 2048
4) Simplify.
-2090
Julie will build a rectangular pen for her dog against a barn. A wall from the barn will form one side of the pen. She has 32 m of fencing to form the other three sides. She plans to build the pen so that it has its maximum possible area.
What will be the dimensions of Julie's pen?
Answer:
The width (side perpedicular to the barn): x = 8 m The lenght (side parallel to the barn): y = 16 mStep-by-step explanation:
x - the width of the barn
She has 32 m of fencing so for the lenght remain (32-2x) m of fencing:
y = 32 - 2x
Area of the fencing: A = x•y
A(x) = x•(32 - 2x)
A(x) = -2x² + 32x ← quadratic function
The maximum value of quadratic function occurs at: \(x=-\frac b{2a}\)
a = -2, b = 32
\(x=-\frac b{2a}=-\frac{32}{2\cdot(-2)}=-(-8)=8\)
32-2x = 32 - 2•8 = 16
Paulina has completed 24 of the 42 math problems she was assigned for homework. She plans to finish her homework by completing 9 math problems each hour h. Write an equation to find the number of hours it will take Paulina to complete her math homework assignment.
Answer:
9h=42-24 so it is 2 hours
Step-by-step explanation:
9h for 9 problems per hour. Also 42-24 because she had that much left to do.
darnel is taking a standardized test. the more questions he answers correctly, the greater his final test score will be.
Which of the variables is independent and which is dependent?
Independent
[ Select ]
Dependent
[ Select ]
4. There are major chords built on what three notes (with all white notes and no accidentals)? O CFG O ABC GEB OCDE
The three major chords built on white notes without accidentals are:
1. C major chord (C, E, G)
2. F major chord (F, A, C)
3. G major chord (G, B, D)
These chords are formed by taking the root note, skipping one white note, and adding the next white note on top. For example, in the C major chord, the notes C, E, and G are played together to create a harmonious sound.
Similarly, the F major chord is formed by playing F, A, and C, and the G major chord is formed by playing G, B, and D. These three major chords are commonly used in various musical compositions and are fundamental building blocks in music theory.
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posted this 3 times! PLS HELP LATE ASSIGNMENT! LAST QUESTION
I will make u brainlist! show all steps and it is worth 15% of class mark!
Answer:
x y First differences Second differences
-2 14
-1 4 -10
0 -2 -6 4
1 -4 -2 4
2 -2 2 4
This relationship is quadratic.
In a sale, normal prices are reduced by 35% The normal price of a bed is $1200 Work out the sale price of the bed.
Answer:
£780
Step-by-step explanation:
as its a decrease
we subtract 35 from 100 to get 65
we then divide 65 by 100
to get 0.65
then we do 0.65*1200
to get the answer of $780
A percentage is a way to describe a part of a whole. such as the fraction ¼ can be described as 0.25 which is equal to 25%. The sale price of the bed is $780.
What are Percentages?A percentage is a way to describe a part of a whole. such as the fraction ¼ can be described as 0.25 which is equal to 25%.
To convert a fraction to a percentage, convert the fraction to decimal form and then multiply by 100 with the '%' symbol.
Given that the normal price of a bed is $1200. Therefore, the sale price of the bed is,
Sale Price = $1200 × (100% - 35%)
= $1200 × 65%
= $780
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