The required number of new boys in a sports team is 62.
As mentioned in the question, A sports team has 65 men and 35 women as members. A new activity has just begun and some new members have joined.
What is the percentage?The percentage is the ratio of the composition of matter to the overall composition of matter multiplied by 100.
here,
Given that the number of men is now 60% of the total members, how many of the 50 new members were women is to be determined,
Percentage of women, in the team = 100 - 60 = 40%
40% of total members are women = 35 + 50
Total members = 85 / 40%
Total member = 212
Number of new member that are boys = 212 - 85 - 65 = 62 boys
Thus, the required number of new boys in a sports team is 62.
Learn more about percentages here:
brainly.com/question/13450942
#SPJ1
write y+4=-2(x-1) in slope intercept form
Answer:
y=2x-6
Step-by-step explanation:
y+4=-2(x-1)
Since the slope intercept form is in the form of:
y=mx+c
Making above equation in this form.
y+4=-2(x-1)
opening bracket
y+4=2x-2
subtracting both side by 4.
y+4-4=2x-2-4
y=2x-6
This equation is the slope intercept form.
The average winter snowfall for Syracuse, New York, for December, January, February is 27.5 inches per month. If Syracuse receives 24 inches of snow in December and 32 inches in Januar how much snow is required in February to exceed the 3 month average?
Answer: More than 26.5 inches
Step-by-step explanation:
Solve this equation :
\(\frac{32+24+x}{3} \geq 27.5\)
x>26.5
Equivalent fractions are those that simplify to the same fraction.
Provide 3 equivalent fractions for the fraction 9/12.
Answer:
\(\frac{3}{4} = \frac{6}{8} = \frac{9}{12} = \frac{18}{24} \)
At an end of the year sale, Gabriela bought more than 12 bottles of hand soaps and lotions. If x represents the number of hand soaps and y represents the number of lotions she bought, which inequality best represents her purchase?
x + y < 12
x + y > 12
x + y ≤ 12
x + y ≥ 12
The inequality which best represents her purchase is x + y > 12.
How to write expressions with inequalities?
Equations and inequalities are both mathematical sentences formed by relating two expressions to each other.
When two expressions are equal, we use the equal sign ( = ). But when we are trying to compare two values or expressions, we use the inequality signs like greater than (>), less than (<), greater than or equal to ( ≥ ) and less than or equal to (≤) .
If x represents the number of hand soaps and y represents the number of lotions she bought. And Gabriela bought more than 12 bottles of hand soaps and lotions
This means the sum of the bottles of hand soaps and lotions she bought is greater than 12. This can be written as follows:
x + y > 12
Learn more about inequalities on:
brainly.com/question/29394681
#SPJ1
Complete the numeric pattern.
1,2,4, blank, blank
32, blank
Answer:
1,2,4,8,16,32,64
Step-by-step explanation:
You double the answer each time.
9x+12y=-108 Please solve this, but it cannot be in fraction form!!!
All you have to do is solve this by using substitution or elimination. or in this case, because we don’t have a second equation, we would solve the x-intercept and y-intercept
X=-12
Y=-9
A weather balloon is descending from the atmosphere. Its altitude changes by
-6
meters every second.
What is the change in altitude after 135 seconds?
The change in altitude after 135 seconds was a decrease of 810 meters, that is, -810 meters.
Given that a weather balloon is descending from the atmosphere, and its altitude changes by -6 meters every second, to determine what is the change in altitude after 135 seconds the following calculation must be performed:
Amount of time x change per second = total change 135 x (-6) = X -810 = X
Thus, the change in altitude after 135 seconds was a decrease of 810 meters, that is, -810 meters.
Learn more in https://brainly.com/question/24654925
Is the given question a statistical question? Explain. (NOT A MULTIPLE CHOICE)
a. "What is the tallest building in Chicago, Illinois?"
b. "What is the most popular store in the Turtlecreek Mall among among teenagers?"
Part (a)
Answer: No, it's not a statistical questionWhy not? Because we can locate the tallest building without having to gather a sample and computing any statistical values based on the sample data. Note how we have one single building and we're focused on just that building only. We aren't asking anything about a population of buildings. Statistics is the science of trying to measure a population in some way, often through the use of a sample statistic. For example, if we asked "what is the average building height in Chicago, Illinois?", then we would be asking a statistical question. Ideally, we would measure every single building in the city. Of course, that's very time consuming and impractical. So the next best thing is to randomly select a sample of buildings and try to estimate the average height like that.
Once again, we're only focused on one single building and not several. So we don't do the operations of gathering a sample and we aren't doing any statistics here. We're simply measuring the building, or looking up the building height in some records database.
=============================================================
Part (b)
Answer: Yes, it is a statistical questionThe population is the set of teenagers. This could be narrowed to just the teens in one specific town, county, or regional area. It doesn't make much sense to extend the population out too far because teens too far away would likely not visit this particular mall in question. Let's say the population is every teen in a certain county. We have a lot of people in this population, so we'll have to gather a sample. Doing a census is too time consuming and expensive. This process of gathering a sample points to this question being a statistical one. We don't know which store is the most popular, but we can get a fairly good idea through the sampling process. It won't be a 100% guarantee that we got the right one considering that again the sample isn't the exact population, but we should get close if we did the sampling right.
Note how the variable in question is a qualitative one. The store names are the categories or names that the teens select in the survey. This data type is nominal and not ordinal, since stores do not have an inherent rank (other than alphabetical but that's not of much importance). Also note that the responses for this random variable are, more or less, random in nature. We simply don't know how the teens will respond assuming we go into this completely blind. It's a good idea to do so to avoid bias. This random nature helps add evidence we have a statistical question here. The random variable value is not set in stone like the tallest building is. Keep in mind that the question for part (a) is asked to refer to a very specific narrow window of time. The same can be said for part (b) as well. Be sure to carefully set up the question and avoid any ambiguity.
To summarize, to answer such a question given to us we would need to gather a sample and compute sample statistics. This is why we have a statistical question here.
Which of the following are consistent with the
guidelines for hitching trailers?
Trailers must be connected to the tow vehicle before loading.
Loads cannot exceed the maximum payload of 1,750 pounds.
Loads cannot exceed the maximum payload of 3,000 pounds.
Customer vehicles must have at least a frame mounted Class 3 receiver hitch
with a 2" or 2 5/6" ball.
The statement that are consistent with the guidelines for hitching trailers are:
A. Trailers must be connected to the tow vehicle before loading.
D. Customer vehicles must have at least a frame mounted Class 3 receiver hitch with a 2" or 2 5/6" ball.
Guidelines for hitching trailers?Option A: Because it guarantees that the weight of the cargo is evenly distributed and attached to the trailer before the vehicle is driven this recommendation is consistent with safe hitching techniques.
Option D: Because it guarantees that the trailer is securely fastened to the tow vehicle and can support the weight of the cargo this recommendation is consistent with safe hitching techniques. A 2" or 2 5/16" ball ensures the trailer is firmly fastened to the hitch and a Class 3 hitch is made to support the weight of heavier trailers.
Therefore the correct option is A and D.
Learn more about hitching trailers here:https://brainly.com/question/4295609
#SPJ1
A test is made of H subscript 0 colon space mu space equals space 43 space space v e r s u s space space H subscript 1 colon space mu space greater than space 43. A sample of size n equals 76 is drawn, and the sample mean is 47. The population standard deviation is 25. Compute the value of the test statistic and determine if the H subscript 0 is rejected at the alpha equals 0.05 level.
Answer:
The calculated value Z = 1.39 <1.96 at 0.05 level of significance
The null hypothesis is accepted
Step-by-step explanation:
Step(i):-
Given that the mean of the Population = 43
Given that the mean of the sample = 47
Given that the standard deviation of the Population = 25
Given that the sample size 'n' = 76
Step(ii):-
Null hypothesis:H₀: μ = 43
Alternative Hypothesis: H₁: μ ≠ 43
Test statistic
\(Z = \frac{x^{-}-mean }{\frac{S.D}{\sqrt{n} } }\)
\(Z = \frac{47-43 }{\frac{25}{\sqrt{76} } }\)
Z = 1.39
Level of significance = 0.05
The critical value = 1.96
Final answer:-
The calculated value Z = 1.39 <1.96 at 0.05 level of significance
The null hypothesis is accepted
What is 420 in exponential form
Answer:
420 = 4.2 x 100 = 4.2 × 102
Step-by-step explanation:
Find the area of each triangle
Answer:
Step-by-step explanation:
There are 3 triangles in the picture: the one on the left, the one on the right, and the overall triangle. We must first find the areas of the two smaller triangles before finding the area of the whole thing.
To find the area of a triangle, you must multiply the two legs of the triangle by each other and then divide that number by 2. For the left triangle, this would be \((4*4)/2=8\), meaning it has an area of 8 square meters. For the right triangle, this would be \((4*3)/2=6\), meaning the triangle on the right has an area of 6 square meters.
There are multiple ways to find the area of the big triangle, since the hypotenuse of the left triangle has been rounded. One way to find the area of the big triangle,is to add the areas of the two smaller triangles: \(8+6=14\) square meters. For a more exact answer, we would solve \((5.7*5)/2=14.25\)sqaure meters using the legs of the big triangle.
Hope this helps! :)
Mr. Evans is currently 4 times as old as his son, Dan. If Mr. Evans was 46 years old 2 years ago, how old is Dan now?
Answer:
the son age is 13band Evans age is 52 years old at present day
Dan is 12 years old.
What is Algebra?A branch of mathematics known as algebra deals with symbols and the mathematical operations performed on them.
Variables are the name given to these symbols because they lack set values.
In order to determine the values, these symbols are also subjected to various addition, subtraction, multiplication, and division arithmetic operations.
Given:
let the Age of Dan is x years
Mr. Evans Age = 4x
If Mr. Evans was 46 years old 2 years ago
The, Present age of Mr. Evans = 48 years
So, Dan's Age = 48/4
= 12 years.
Hence, Dan is 12 years old.
Learn more about Algebra here:
https://brainly.com/question/24875240
#SPJ2
The nursing staff at Middletown Hospital makes sure one patient gets his medicine every 47 minutes and another patient gets his medicine every 45 minutes. Both patients just received their doses of medicine. How many minutes from now will both patients get their medicine at the same time?
The least common multiple of 47 and 45 is 2,115. Therefore, at 2,115 minutes, both patients receive their medication at the same time.
How to find minutes from now will both patients get their medicine at the same time?we need to find the least common multiple of 47 and 45, the smallest number that is divisible by both 47 and 45.
Start by listing the multiples of each number until you find a common multiple.
Multiples of 47:
47, 94, 141, 188, 235, 282, 329, 376, 423, 470, 517, 564, 611, 658, 705, 752, 799, 846, 893, 940, 987, 1034, 1081, 1128, 1175, 1222, 1269, 1316, 1363, 1410, 1457, 1551, 1598, 1645, 1692, 1739, 1786, 1833, 1880, 1927, 1974, 2021, 2068, 2115, 2162, 2206, 2206, 2309
Multiples of 45:
45, 90, 135, 180, 225, 270, 315, 360, 405, 450, 495, 540, 585, 630, 675, 720, 765, 810, 855, 900, 945, 990, 1035, 1080, 1125, 1170 1215 1260 1305 1350 1395 1440 1485 1530 1575 1620 1665 1710 1755 1800 1845 1890 1935 1980 2025 232070
We can see that the least common multiple of 47 and 45 is 2,115. Therefore, at 2,115 minutes, both patients will receive their medication at the same time.
To know more about divisible visit:-'
https://brainly.com/question/21416852
#SPJ1
Solve the matrix equation.
Answer:
answer there
Step-by-step explanation:
hope it. was. helpful
Two similar solids have a scale factor of 5:3.
What is the ratio of their volumes expressed in lowest terms?
The ratio of the volumes of the two similar solids that have a scale factor of 5:3 is: 125:27.
How to Determine The Ratio of the Volume of Similar Solids?If two solids that are similar to each other, have volumes A and B respectively, and have a scale factor of a:b, thus, the ratio of their volumes would be expressed as:
Volume of solid A/Volume of solid B = a³/b³
or
Volume of solid A : Volume of solid B = a³ : b³
Thus, the given similar solids have a scale factor of 5:3, therefore, the ratio of their volumes would be expressed as shown below:
5³ : 3³
125 : 27
Thus, the ratio of the volumes of the two similar solids that have a scale factor of 5:3 is: 125:27.
Learn more about the volume of similar solids on:
https://brainly.com/question/16599646
#SPJ1
you are a freelancer and were offered two gigs. one will pay you $25,000today and the other will pay you $5,000 per year over the next six years. assuming your required return is 8%, which gig should you accept, assuming you are in it just for the money?
The preferred gig is the first one since its today's worth is greater than the today's value of the second gig
What is the today's worth of $5000 each year?
The worth of the second gig, which pays $5000 every year for the next 6 years in today's dollar is the present value of all the six annual cash flows discounted using the present value formula of an ordinary annuity as shown below:
PV=PMT*(1-(1+r)^-N/r
PV=present value of annual payments for 6 years=unknown
PMT=annual payment=$5000
r=required return=discount rate=8%
N=number of annual cash flows=6
PV=$5000*(1-(1+8%)^-6/8%
PV=$5000*(1-(1.08)^-6/0.08
PV=$5000*(1-0.630169626883105)/0.08
PV=$5000*0.369830373116895
/0.08
PV=$23,114.40
The fact that the present value of the second option which pays $5000 annually is lesser than the amount receivable immediately, which is $25,000, hence, the first gig is preferred
Find out more about ordinary annuity on:https://brainly.com/question/13369387
#SPJ1
Which table represents the statement "Di runs at a rate of 4 meters per second " ?
Answer:
The third one Edg
Step-by-step explanation: Brainlest plzzz
The diameter of a circle measures 32 mm. What is the circumference of the circle? Use 3.14 for , and do not round your answer. Be sure to include the correct unit in your answer.
Answer:
100.48 ft
Step-by-step explanation:
John began his job making $125 the first week. After that he ws paid $6.25 per hour. Write the equation in slope intercept form to represent the situation.
Answer:
y=6.25x+125
Step-by-step explanation:
Given that,
John began his job making $125 the first week. After that he was paid $6.25 per hour.
Here $125 is fixed and $6.25 increase per hour. It means we can write the equation as follows :
y = 125 + 6.25 x
The general equation for the slope-intercept form is given by :
y = mx+x
m is slope
So, the equation in slope intercept form is given by :
y=6.25x+125
Hence, this is the required solution.
a) y= 0.05x + 16
b) y= 6.25x + 125
c) y= 2x + 10
d) y= 3x + 5
Answer: B) y = 6.25x + 125
Find the value of X if you understand this please answer
Answer:
H sin theta = X where H = 600 and theta is 36 by alternate interior angles
X = 600 sin 36 = 353
Traci outs a block of wood along the red line. When she looks at the newly
exposed face, what is the shape of the cross-section?
Gin
4 in
Bin
A. A rectangle, 8 inches by 6 inches
B. A rectangle, 8 inches by 4 inches
C. A rectangle, 4 inches by 6 inches
D. A square, 4 inches by 4 inches
Answer:
b
Step-by-step explanation:
Answer:
8 inches and 4 inches
Step-by-step explanation:
Im lazy so Red Riot Out
A boat is 60m from the base of a lighthouse. The angle of depression between the lighthouse and the boat is 37°. How tall is the lighthouse.
Answer: 34.64 m
Step-by-step explanation:
Given: A boat is 60 m from the base of a lighthouse.
The angle of depression between the lighthouse and the boat is 37°.
By using trigonometric ratios :
\(\tan x=\dfrac{\text{Side opposite to }x}{\text{Side adjacent to }x}\)
here x= 37°, side opposite to x = height of lighthouse (h) , side adjacent to x = 60 m
\(\tan 37^{\circ}=\dfrac{h}{60}\\\\\Rightarrow\ 0.57735=\dfrac{h}{60}\\\\\Rightarrow\ h= 60\times0.57735\approx34.64\)
Hence, the lighthouse is 34.64 m tall.
PLEASE HELP AND SHOW WORK PLEASE.
How is this a no solution answer? I came out with the answer x < -2 and x ≥ 5
5 - x > 7 and 2x + 3 ≥ 13
Inequalities help us to compare two unequal expressions. There exists no solution to the given set of inequalities.
What are inequalities?Inequalities help us to compare two unequal expressions. Also, it helps us to compare the non-equal expressions so that an equation can be formed. It is mostly denoted by the symbol <, >, ≤, and ≥.
The given Inequalities can be solved as,
5 - x > 7
-x > 7 - 5
-x > 2
x < -2
2x + 3 ≥ 13
2x ≥ 10
x ≥ 5
As per the solution of the two inequalities, the value of x should be less than -2 but at the same time, it should be more than or equal to 5, which is impossible. Thus, there is no solution for the given inequalities.
This can be confirmed by graphing the two inequalities, as shown below. Since there is no area in common between the two inequalities, there exists no solution to the given set of inequalities.
Learn more about Inequality:
https://brainly.com/question/19491153
#SPJ1
I need some statistics help
True or False
____ 6. If the obtained sample data (test statistic value) is inside the critical region, then we have provided support for the researcher's hypothesis
____ 7. When the Z-test statistic, obtained from the sample data, falls inside the critical region, we reject the null hypothesis
____ 8. If the obtained sample data (test statistic value) are not in the critical region, the correct statistical decision is "fail to reject the null hypothesis."
____ 9. If you fail to reject the null hypothesis, it means that the data do not provide sufficient evidence to say that the treatment has an effect: the independent variable had an effect on the dependent variable
____ 10. Whenever the statistical decision is to fail to reject the null hypothesis, there is a probability that the decision is incorrect and this probability is known as Type I error
True 6. If the obtained sample data (test statistic value) falls inside the critical region, it provides support for the researcher's hypothesis.
True 7. When the Z-test statistic, obtained from the sample data, falls inside the critical region, it indicates that the observed result is unlikely to have occurred by chance alone under the assumption of the null hypothesis. Therefore, we reject the null hypothesis and accept the alternative hypothesis.
True 8. If the obtained sample data (test statistic value) is not in the critical region, it means that the observed result is likely to have occurred by chance under the assumption of the null hypothesis. hypothesis.
True 9. Failing to reject the null hypothesis means that the data do not provide sufficient evidence to conclude that the treatment or independent variable had a significant effect on the dependent variable.
True 10. Whenever the statistical decision is to fail to reject the null hypothesis, there is a possibility of making a Type I error.
6. The critical region is determined based on the desired level of significance and contains the extreme values that would lead to rejecting the null hypothesis.
7. When the Z-test statistic, obtained from the sample data, falls inside the critical region, it indicates that the observed result is unlikely to have occurred by chance alone under the assumption of the null hypothesis. Therefore, we reject the null hypothesis and accept the alternative hypothesis.
8. In this case, we do not have sufficient evidence to reject the null hypothesis, and the correct statistical decision is to "fail to reject" the null
9. It does not necessarily mean that the treatment had no effect, but rather that the evidence in the sample is not strong enough to support such a claim.
10. Type I error refers to rejecting the null hypothesis when it is actually true. The probability of committing a Type I error is denoted by the significance level (usually denoted as alpha) and is predetermined before conducting the statistical test.
In summary, the statements are all true. The critical region plays a crucial role in hypothesis testing, and the decisions made based on the test statistic falling inside or outside the critical region determine whether the null hypothesis is rejected or failed to be rejected.
Failing to reject the null hypothesis does not provide sufficient evidence to support the researcher's hypothesis and there is always a possibility of making a Type I error when conducting hypothesis tests.
For more such answers on critical region
https://brainly.com/question/31164533
#SPJ8
find the quotient 4377÷8
Answer: 547 \(\frac{1}{8}\)
Step-by-step explanation:
A rectangle has vertices at (-2, 11), (-2,4), (6, 11), and (6, 4). Pablo says the area of the rectangle is 49 square units and his work is shown below. Steps Step 1 Pablo's Work Base: 1- 21+61= 8 Step 2 Step 3 Height: 11-4-7 Area: 8x7=49 square units Where, if at all, did Pablo first make a mistake finding the area of the rectangle? Step 1 Step 2 Step 3
The result of the calculation of the base is good because the distance between -2 and 6 is 8. The result of the calculation of the height is good because the distance between 4 and 11 is 7. The mistake is seen in the part of the multiplication, because 8x7 is equal to 56 , not 49.
So, the mistake was made when doing the Step 3.
rewrite 1/2% as a fraction
Answer:
1/200
Step-by-step explanation:
0.5 x 1/100 =1/200
I don’t know this question? Can you pls answer it...
Answer:
12i
Step-by-step explanation:
be careful with your screenshots and make sure it doesnt show your name
PRE CALC HELP NEEDED
Answer:
\(\dfrac{5e^2}{2}\)
Step-by-step explanation:
Differentiation is an algebraic process that finds the slope of a curve. At a point, the slope of a curve is the same as the slope of the tangent line to the curve at that point. Therefore, to find the slope of the line tangent to the given function, differentiate the given function.
Given function:
\(y=x^2\ln(2x)\)
Differentiate the given function using the product rule.
\(\boxed{\begin{minipage}{5.5 cm}\underline{Product Rule for Differentiation}\\\\If $y=uv$ then:\\\\$\dfrac{\text{d}y}{\text{d}x}=u\dfrac{\text{d}v}{\text{d}x}+v\dfrac{\text{d}u}{\text{d}x}$\\\end{minipage}}\)
\(\textsf{Let\;$u=x^2}\)\(\textsf{Let\;$u=x^2$}\implies \dfrac{\text{d}u}{\text{d}x}=2x\)
\(\textsf{Let\;$v=\ln(2x)$}\implies \dfrac{\text{d}v}{\text{d}x}=\dfrac{2}{2x}=\dfrac{1}{x}\)
Input the values into the product rule to differentiate the function:
\(\begin{aligned}\dfrac{\text{d}y}{\text{d}x}&=u\dfrac{\text{d}v}{\text{d}x}+v\dfrac{\text{d}u}{\text{d}x}\\\\&=x^2 \cdot \dfrac{1}{x}+\ln(2x) \cdot 2x\\\\&=x+2x\ln(2x)\end{aligned}\)
To find the slope of the tangent line at x = e²/2, substitute x = e²/2 into the differentiated function:
\(\begin{aligned}x=\dfrac{e^2}{2}\implies \dfrac{\text{d}y}{\text{d}x}&=\dfrac{e^2}{2}+2\left(\dfrac{e^2}{2}\right)\ln\left(2 \cdot \dfrac{e^2}{2}\right)\\\\&=\dfrac{e^2}{2}+e^2\ln\left(e^2\right)\\\\&=\dfrac{e^2}{2}+2e^2\\\\&=\dfrac{5e^2}{2}\end{aligned}\)
Therefore, the slope of the line tangent to the graph of y = x²ln(2x) at the point where x = e²/2 is:
\(\boxed{\dfrac{5e^2}{2}}\)