Answer:
$9
Step-by-step explanation:
'Jonathan and 5 friends' would equal 6 people paying
Since the total amount was 54 dollars, the equation will be:
$54 ÷ 6 friends
54 divided by 6 is $9
Check:
6 x 9 = 54
In a certain study of 900 men from Nsawam, it was found that 25 are smokers. Use this information to answer the following questions. (a) Identify the population in this study. (b) What is the sample size? (c) What percentage of the sampled population are smokers? (d) State the gender of interest in the study. (e) What question is the researcher most likely to ask in this study?
a. The population in this study is the entire population of men from Nsawam.
b. The sample size is 900 men.
c. Approximately 2.78% of the sampled population are smokers.
d. The gender of interest in this study is men.
e. The researcher is most likely to ask a question related to the smoking behavior or prevalence among men from Nsawam
What is sample size?The number of observations used to calculate estimates for a certain population is known as the sample size. The sample size was determined by drawing from the population.
(a) The population in this study is the entire population of men from Nsawam.
(b) The sample size is 900 men.
(c) To calculate the percentage of the sampled population who are smokers, we divide the number of smokers (25) by the sample size (900) and multiply by 100:
Percentage of smokers = (25 / 900) * 100 = 2.78%
Therefore, approximately 2.78% of the sampled population are smokers.
(d) The gender of interest in this study is men.
(e) The researcher is most likely to ask a question related to the smoking behavior or prevalence among men from Nsawam. For example, the researcher might ask:
"What is the proportion of smokers among men in Nsawam?"
or
"What factors are associated with smoking prevalence among men in Nsawam?"
The specific research question will depend on the objectives and focus of the study.
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Find Zx 75° X (1) 165 (2) 185° (3) 1959 (4) 285°
What is the slope of the equation ASAP Please ASAP
We are given the following equation: y = 5/4x - 7/4 and we are asked to identify the slope.
To answer the question, we must recall the slope-intercept form of a linear equation:
y = mx + b where m is the slope and b is the y-intercept.
Using this format, we know that m = 5/4 and b = - 7/4.
Therefore, the slope of the equation is 5/4.
Mr. jimenez deposited money into an account in which interest is compounded quarterly at a rate of 2.6%. how much did he deposit if the total amount in his account after 4 years was $7160.06, and he made no other deposits or withdrawals? $6455 $6455 $6798 $6798 $6887 $6887 $6977 $6977 skip to navigation
Answer:
$6455.
Step-by-step explanation:
The formula for this investment is:
A = P(1 + r/4)^4t where P = amount deposited , A amount after t years,
r = rate (as a decimal fraction).
So we have:
7160.06 = P(1 + 0.026/4)^16
7160.06 = P * 1.109227
P = 7160.06 / 1.109227
= $6455.
A building has two sizes of apartments Smart in regular the ratio of small apartments to regular apartments is 18 to 7 what percent of apartments in the building are small
Answer:
72 percent of the total houses are small
Step-by-step explanation:
The first step is to know the total apartments from the ratio: This is got by adding 18 + 7 = 25
The ratio of small apartments to regular ones is 18:7
To get the percentage that is small, we have to express the number of small houses when compared to the total available apartments. (Note: not the regular ones) as a percentage.
This will be (18/25) X 100 = 72%
Therefore, 72 percent of the total houses are small
Let L: R² R² be a linear operator. If L((1,2)) = (-2,3), and L((1,-1)²) =(5,2),+ Find the value of L((7,8)¹) 799
L((7,8)) = (-9,23). To find the value of L((7,8)), we can use the linearity property of the linear operator L.
Since L is a linear operator, we can express any vector in R² as a linear combination of the basis vectors (1,0) and (0,1).
We have L((1,2)) = (-2,3) and L((1,-1)) = (5,2). Therefore, we can express (7,8) as (7,8) = 7(1,2) + 1(1,-1).
Using the linearity property, we can distribute the linear operator L over the linear combination:
L((7,8)) = L(7(1,2) + 1(1,-1))
= 7L((1,2)) + L((1,-1))
= 7(-2,3) + (5,2)
= (-14,21) + (5,2)
= (-9,23)
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When drawing a histogram, which is a good number of categories to include on your x axis?
Usually, six to twelve equally wide categories are a decent number to use when trying to understand how the data is distributed for drawing a histogram.
One common graphing tool is the histogram. It is employed to present interval-scaled summaries of discrete or continuous data. It is frequently used to conveniently depict the main characteristics of the data distribution.
A histogram is a graphic representation of data that uses bars of various heights. Each bar in a histogram divides numbers into ranges. More data falls inside that range, as shown by taller bars. The form and distribution of continuous sample data are shown in a histogram.
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y= -3x+10 y= -2x+6 what is x and y
Answer:
(4,-2)
Step-by-step explanation:
you could use substitution and all that, but i use desmos
A bag contains 4 red marbles, 5 blue marbles, 6 yellow marbles, and 7 green marbles; Jonathan randomly grabs one marble, puts it back then draws a second marble. What is the probability that the first marble was red, and the second marble was green?
p ( first marble red ) = 4/22
p ( second marble green ) = 7/22
Since total number of marbles r 22, then the denominator is 22 also. When Jonathan puts back the red marble aft the first round, this means with replacement so there's no change in denominator for the second round.
A company wishes to manufacture a box with a volume of 40 cubic feet that is open on top and is twice as long as it is wide. Find the width of the box that can be produced using the minimum amount of material.
The width of the box is 3 ft that can be produced using the minimum amount of material.
What are the volume and surface area of a box?Consider a box with length 'l', width 'w' and height 'h',
Volume V = l × w × h
Surface area S = 2(lw + wh + hl)
Calculation:It is given that,
Volume of the box V = 36 cubic feet and l = 2w
Using the formulae,
V = 2w × w × h = 2w²h ...(1)
S = (2w² + 2wh + 4wh) = 2w² + 6wh ... (2) (here only single lw is considered since it is open top)
From equation (1),
36 = 2w²h
⇒ w²h = 18
⇒ h =18/w²
equation (2) becomes
S = 2w² + 6w(18/w²) = 2w² + 108/w ...(3)
So, for a minimum amount of material, the width of the box is,
On differentiating the surface area w.r.t 'w'
S' = 4w - 108/w²
For a minimum amount, substituting S' = 0 we get,
0 = 4w - 108/w²
⇒ 4w = 108/w²
⇒ 4w³ = 108
⇒ w³ = 27
∴ w = 3 feet
Therefore, the width of the given box is 3 feet.
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James thinks of two numbers. He says "The Highest Common Factor (HCF) of my two numbers is 3 The Lowest Common Multiple (LCM) of my two numbers is 45" Write down two numbers that James could be thinking of.
Answer: (3,45) and (15,9)
Step-by-step explanation:
LCM x HCF = 45*3 = 135
so, the pairs which has HCF as 3 and LCM as 45 are (3,45) and (15,9)
Where’s the leg, & hypotenuse for this triangle?!
Pls help, I’ll give brainliest!
What is the value of the expression below? (3 1/2 - 9 3/4) entre (-2.5)
PLEASE HELP
Answer:
Let's solve this in steps:
1. Convert mixed numbers to fractions:
```
3 1/2 = 7/2
9 3/4 = 39/4
```
2. Perform the subtraction:
```
7/2 - 39/4 = -11/4
```
3. Divide by -2.5:
```
-11/4 / -2.5 = 4.4
```
Therefore, the value of the expression is **4.4**.
Please help me with this please no bots
Answer:
Step-by-step explanation:
Factors
Multiples
Fractions
Denominator
Numerator
Answer:
Factors
Multiples
fractions
denominator
numerator
Find the third side, round the nearest 10th
Answer:
11.9
Step-by-step explanation:
Pythagorean theorem:
\(a^2+b^2 = c^2\). where a and b are the sides and c is the hypotehnus (the side in front of the 90 degree angle)
\(22^2 + b^2 = 25^2\\484 + b^2 = 625\\b^2 = 625-484\\b^2 = 141\\b = \sqrt{141} \\b = 11.9\)
Answer:
11.9
Step-by-step explanation:
This is a right triangle so I can solve this with the pythagorean theorem.
Set up the equation 22²+x²=25² x would be the third side
Simplify, 484+x²=625
Subtract from both sides 484-484+x²=625-484
x²=141
Find the square root of 141 to get x
The square root of 141 is approximately 11.9 rounded to the nearest tenth.
a researcher is interested in the relationship between caffeine consumption and activity level for elementary school children. a sample of 20 children is obtained and each child is interviewed to determine a level of caffeine consumption. the researcher then records the level of activity for each child during a 30-minute session on the playground. is this an experimental or correlational study? explain your answer.
This is an experimental study, as the researcher is manipulating the independent variable (caffeine consumption) to measure the dependent variable (activity level) in a controlled environment.
This is an experimental study, as the researcher is manipulating the independent variable (caffeine consumption) to measure the dependent variable (activity level) in a controlled environment. In an experimental study, the researcher has control over the independent variable and is able to measure the results of the manipulation on the dependent variable. In this study, the researcher is measuring the activity level of the children based on their caffeine consumption, which the researcher can control. The researcher is also measuring the activity level in a controlled environment, the playground, which provides a consistent setting for the experiment. This type of study is designed to test the researcher's hypothesis and determine whether there is a relationship between caffeine consumption and activity level.
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.Question 2 i) The root mean square (RMS) of a function f(t) on domain [a,b] is defined to be fRMS Solf(t)]2 dx V b a Given f(t) = 110 sin(50t), find the rms on interval [0, 21] ii) Sketch the function the function (2t – 11, -2
The root mean square (RMS) of the function f(t) = 110 sin(50t) on the interval [0, 2π] is approximately 110 times the square root of 2π.
To find the root mean square (RMS) of the function f(t) = 110 sin(50t) on the interval [0, 2π], we follow these steps
Square the function f(t):
f²(t) = (110 sin(50t))² = 110² sin²(50t)
Integrate the squared function over the interval [0, 2π]:
∫[0, 2π] (110² sin²(50t)) dt
∫[0, 2π] (110²(1 - cos²(50t))) dt
Apply the trigonometric identity: sin²(x) = 1 - cos²(x):
\(\int\limits^0_{2\pi }\) (110² - 110² cos²(50t)) dt
Evaluate the integral:
= 110²t - (110²/2)\(\int\limits^0_{2\pi }\) cos(100t) dt
Apply the definite integral of cos(x) over the interval [0, 2π]:
= 110²t - (110²/2) * [sin(100t)/100] [0, 2π]
= 110²t - (55²/100) * (sin(200π) - sin(0))
Since sin(0) = 0 and sin(200π) = 0, the second term becomes zero:
= 110²t
Evaluate the integral over the interval [0, 2π]:
= 110² * (2π - 0) = 110² * 2π
Take the square root of the result to find the RMS:
RMS = √(110² * 2π) = 110 * √(2π)
Therefore, the RMS of the function f(t) = 110 sin(50t) on the interval [0, 2π] is 110 * √(2π).
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--The given question is incomplete, the complete question is given below " Question 2 i) The root mean square (RMS) of a function f(t) on domain [a,b] is defined to be fRMS Solf(t)]2 dx V b a Given f(t) = 110 sin(50t), find the rms on interval [0, 2π] "--
Write the equation 12 = -3x + 6 in the form ax + b = c, with c = 12. What
are the values of a and b?
A). a = 12, b = 6
B). a = -3, b = 6
C). a = 6, b = 12
D). a = -2, b = 4
Answer:
I think B is correct answer
Kristen collected 1/4 of a bin of glass bottles to recycle. Beth collected 4 2/5 times as many bins as Kristen. How many bins of bottles did Beth collect?
Beth collected 11/10 glass bottles in her bottle bins.
First, we need to find out how many bins of glass bottles Kristen collected. According to the question, Kristen collected 1/4 of a bin of glass bottles.
Next, we need to find out how many bins of glass bottles Beth collected. According to the question, Beth collected 4 2/5 times as many bins as Kristen.
To find out how many bins of glass bottles Beth collected, we need to multiply the number of bins Kristen collected by 4 2/5.
So, we have:
1/4 × 4 2/5 =
1/4 × 22/5 =
22/20 = 11/10
Therefore, Beth collected 11/10 bins of glass bottles. In conclusion, Kristen collected 1/4 of a bin of glass bottles and Beth collected 11/10 bins of glass bottles.
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does 3/4 go into 80/100 please answer
Answer:
No!
Step-by-step explanation:
3/4 does NOT go into 80/100 because say if you had 3 shiny quarters out of 4 quarters total that is equal to 75 cents of shiny quarters but if you were to have 100 pennies and 80 of them were shiny that is 80 cents worth of shiny pennies.
Hope that helped :)
Three classes of 26 students each sign up for a field day. Teams can have no more
than 9 students. How many teams are full? How many students are on the last team?
Answer:
2 teams are full and the last team has 8 members
Step-by-step explanation:
Simple subtraction 26-9=17 so theres one team, then 17 minus 9 is 8 so there is another team so the awnser is 2 and 8/9
very few tools are available to assist system analysts and end users in analyzing data.
False. very few tools are available to assist system analysts and end users in analyzing data.
There are many tools available to assist system analysts and end users in analyzing data. Some commonly used tools include spreadsheets (such as Microsoft Excel), data visualization software (such as Tableau or Power BI), statistical analysis software (such as R or SPSS), and business intelligence software (such as SAP or Oracle).
These tools allow analysts and end users to process, manipulate, and visualize large volumes of data, as well as to perform complex statistical analyses and modeling. Additionally, with the advent of big data technologies, such as Hadoop and Spark, analysts and end users can now analyze vast amounts of data in real-time, using distributed computing systems.
In summary, there are many tools available to assist system analysts and end users in analyzing data, and these tools continue to evolve and improve over time.
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There are y narts to this question. Yiu war be anked to movide fint 1 answer in each part. In our dataset we obsenve thiee variables that we strangly befieve do not have a relabonhip with wages, but that are correlated with the endoeenour variable riciuct. These variables mee dixt, which denotes the distance between the wroticer's viliage and the closest school, wralh yofene. Which is a dummin variable that takes the value of 1 if the worker regularly brushes hiv/her teeth ithe eovemment provides a free toothbrunh to each citizen and we believe that more educated people tend to brush their teeth more offen, and library, which is a dummy variable that takes the value of 1 if the worker has access to a library in his/her viliage. We estimafe our regression model using TSIS We want to test if our instruments satisfy the relevance requirement. In the 1 st stage of TSLS we estimate the following equation: edue =π0+π1 diat +π2 aralhygiene +π1 hitrary +π4 erper +NH What is the null hypothesis to test for instruments' relevance? A) H0:π1=π2=π3=π4=0. B) H0:π1=π2=π3=0. C) H0:π2=π3=π4=0. D) H0:π2=0 or π3=0 or π4=0. E) HD:π1=0 or π2=0 or π3=0. F) H0:π1=0 or π2=0 or π3=0 or π4=0. Answer:
The null hypothesis to test for instruments' relevance is option D) H0:π2=0 or π3=0 or π4=0.In order to test the relevance of the instrument, the first stage equation's null hypothesis should be stated as: H0: π2 = 0 or π3 = 0 or π4 = 0.The relevance requirement will be fulfilled if we can refute the null hypothesis.
The null hypothesis will not be rejected if the F-statistic is less than 10.0. However, if the F-statistic is greater than 10.0, the null hypothesis will be rejected, indicating that the variables are relevant and that the instrument satisfies the relevance requirement.In summary, to test for instruments' relevance in TSLS, the null hypothesis of the first stage equation is stated as H0: π2 = 0 or π3 = 0 or π4 = 0.
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Jessie has a square pyramid with a base side length of 15 inches and a height of 7 inches. Carl has a square pyramid with a volume of 1890 in^3.
Use the information to choose all the correct statements below:
A.
Jessie's pyramid has a volume of 35 in^3.
B.
Jessie’s pyramid has a volume of 525 in^3.
C.
Carl’s pyramid is 48 times larger than Jessie’s.
D.
Carl’s pyramid is 3.6 times larger than Jessie’s.
E.
Carl's pyramid is 36% larger than Jessie's.
May be more than 1 correct answer
The correct statements are:
B. Jessie’s pyramid has a volume of 525 in^3. (Using the formula for the volume of a pyramid, V = (1/3) * base area * height, we get V = (1/3) * 15^2 * 7 = 525 in^3.)
D. Carl’s pyramid is 3.6 times larger than Jessie’s. (Using the formula for the volume of a square pyramid, V = (1/3) * base area * height, we can find the base side length of Carl's pyramid: base side length = sqrt((3*1890)/(7*15^2)) ≈ 18.46 inches. Therefore, the ratio of volumes is (18.46/15)^2 * (7/7) ≈ 3.6.)
Answer:The correct statements are:
B. Jessie’s pyramid has a volume of 525 in^3. (Using the formula for the volume of a pyramid, V = (1/3) * base area * height, we get V = (1/3) * 15^2 * 7 = 525 in^3.)
D. Carl’s pyramid is 3.6 times larger than Jessie’s. (Using the formula for the volume of a square pyramid, V = (1/3) * base area * height, we can find the base side length of Carl's pyramid: base side length = sqrt((3*1890)/(7*15^2)) ≈ 18.46 inches. Therefore, the ratio of volumes is (18.46/15)^2 * (7/7) ≈ 3.6.)
Step-by-step explanation:
Two coins are tossed. Find the probability of tossing each of the following events:
1. One head and one tail.
Answer:
2. Two tails.
Answer:
3. At least one tail.
Answer:
4. No heads.
Answer:
1.Probability of one head and one tail: 0.50 or 50%.
2.Probability of two tails: 0.25 or 25%.
3.Probability of at least one tail: 0.75 or 75%.
4.Probability of no heads: 0.25 or 25%.
The probability of tossing one head and one tail when two coins are tossed is 0.50 or 50%. This can be calculated by considering the possible outcomes: (H, T) or (T, H), where H represents a head and T represents a tail. Since there are two equally likely outcomes out of a total of four possible outcomes (HH, HT, TH, TT), the probability is 2/4 or 0.50.
The probability of tossing two tails when two coins are tossed is 0.25 or 25%. This can be calculated by considering the possible outcomes: (T, T). Since there is only one favorable outcome out of four possible outcomes (HH, HT, TH, TT), the probability is 1/4 or 0.25.
The probability of getting at least one tail when two coins are tossed is 0.75 or 75%. This can be calculated by considering the favorable outcomes: (H, T), (T, H), and (T, T). Since there are three favorable outcomes out of four possible outcomes (HH, HT, TH, TT), the probability is 3/4 or 0.75.
The probability of getting no heads when two coins are tossed is 0.25 or 25%. This can be calculated by considering the favorable outcome: (T, T). Since there is only one favorable outcome out of four possible outcomes (HH, HT, TH, TT), the probability is 1/4 or 0.25.
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A stock is priced at $85 per share and pays a quarterly dividend of $2. 10 per share. What is the dividend yield per stock share per year?
The dividend yield per stock share per year is 9.88 %
What Is the Dividend Yield?
The dividend yield, expressed as a percentage, is a financial ratio (dividend/price) that shows how much a company pays out in dividends each year relative to its stock price.
Given,
The stock price per share is = $85
Quarterly dividend is = $2.10
Now, for to find Dividend yield
Dividend Yield = Annual Dividends Per Share / Price per share
Annual Dividends Per Share = 4 * $2. 10
= $8.4
Price per share = $85
Now, plug in the values
Dividend Yield = 8.4 / 85
= 0.0988
Now, in percentage is
Dividend Yield = 0.0988 * 100
= 9.88 %
Hence, the dividend yield per stock share per year is 9.88 %
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what is 16-(-)24+4 and does it equal 44
Answer:
yes, it equals 44
Step-by-step explanation:
16-(-)24+4=44
Answer:
it is 44
Step-by-step explanation:
2 minus's right by each other turn into a plus sign.
At the concert, there are 75 more girls than boys. If the ratio of girls to
boys is 4:1, how many girls are at the concert? And how many boys are at
the concert?
============================================================
Explanation:
x = number of boys
The ratio of girls to boys is 4:1, meaning there are 4 times as many girls compared to boys. For example, the concert may have 40 girls and 10 boys.
For now, x is some unknown positive whole number. But we can say that 4x represents the number of girls, as we multiply by 4.
----------
We're told there are 75 more girls than boys, so,
number of girls = (number of boys) + 75
4x = x + 75
4x-x = 75
3x = 75
x = 75/3
x = 25
There are 25 boys and 4x = 4*25 = 100 girls.
We can see that 100-25 = 75 to show that there are 75 more girls compared to boys.
And also, the ratio 100:25 reduces fully to 4:1 after dividing both parts by the GCF 25. These two facts fully confirm the answers.
please answer this question I f0ll0w u and mark brainiest and give many thanks
Answer:
look above
Step-by-step explanation:
hope it helps
Calculate the interest on a 90-day, 9% note for $50,000 (Use a 360 day year to compute interest Round your answer to the nearest dollar ) A. S375 B. S4.500 O C. $1,125 O D. $2,250
The correct answer is C. $11,250.
To calculate the interest on a 90-day, 9% note for $50,000, we can use the simple interest formula:
Interest = Principal × Rate × Time
Given:
Principal (P) = $50,000
Rate (R) = 9% = 0.09 (decimal)
Time (T) = 90 days
Since the interest is calculated based on a 360-day year, we need to convert the time in days to a fraction of a year:
Time (T) = 90 days / 360 days = 0.25 (fraction of a year)
Now we can calculate the interest:
Interest = $50,000 × 0.09 × 0.25
Interest = $11,250
Rounded to the nearest dollar, the interest on the 90-day, 9% note for $50,000 is $11,250.
Therefore, the correct answer is C. $11,250.
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