Answer:
110%
Step-by-step explanation:
During final exam, 172 students visited the math lab in total.
4 out of 11 were male. It means, females are 11-4 = 7. So, the percentage of female students who visited the math lab is :
[tex]F=\dfrac{7}{11}\times 172\\\\F=109.4\%\\\\=110\%[/tex]
Hence, this is the required solution.
A savings account starts with $181.25. After 7 years of continuous compounding at an interest rate, r, the account has $1450.
What is the interest rate percentage?
Round the answer to the nearest hundredth
Enter your answer in the box.
Answer:
29.71%
Step-by-step explanation:
The interest rate of the savings account is = 114.3%
Calculation of interest rate percentage of an accountThe start up or principal amount (P) = $181.25
Simple interest after 7 years (SI) = $1450
Time or duration (T) = 7 years
To calculate the rate percentage of interest;
R = SI × 100/P×T
R = 1450 × 100/ 181.25 × 7
R = 145000/1268.75
R = 114.3%
Therefore, the interest rate percentage of the savings account is = 114.3%
Learn more about simple interest here:
https://brainly.com/question/25793394
One side of a rectangle is parallel to the x-axis. One vertex of the rectangle is located at (5,2) and another vertex at (1,4). What are the coordinates of the other two vertices?
Answer:
(1,2) and (5,4)
Step-by-step explanation:
Hello There!
I had made a graph to make it easier to understand.
The points given to us are represented by the green points
The points that would make a rectangle with lines that are parallel with the x axis would be (1,2) and (5,4) (represented by the red points)
As you can see the points added had created a rectangle with sides that are parallel with the x axis
This meets all of the requirements therefore the other two vertices would have the points (1,2) and (5,4)
A building 240 feet tall casts a 40 foot long shadow. If a person stands at the end of the shadow and looks up to the top of the building, what is the angle of the person's eyes to the top of the building (to the nearest hundredth of a degree)? (Assume the person's eyes are 4 feet above ground level.)
9514 1404 393
Answer:
80.38°
Step-by-step explanation:
The relevant trig relation is ...
Tan = Opposite/Adjacent
The person is standing 40 ft from the building. The point they're looking at is 236 ft above their eyes. So the angle α is found from ...
tan(α) = 236/40
α = arctan(236/40) ≈ 80.38°
A middle school has 89 sixth graders, 107 seventh graders, and 104 eighth graders. The grid represents the 31% of students at this school who bring their lunch. 10 by 10 grid with first 3 columns shaded and top unit of the fourth row shaded How many students bring their lunch to school?
The arch support of a bridge can be modeled by y=−0.0012x2, where x and y are measured in feet. Find the height and width of the arch.
Answer:
it will be 300 feet tall and 1000 feet wide
Step-by-step explanation:
The height and width of the arch which support of a bridge and modeled by the provided function is 1000 ft and 300 ft long respectively.
What is an exponential function?Exponential function is the function in which the function growth or decay with the power of the independent variable. The curve of the exponential function depends on the value of its variable.
The exponential function with dependent variable y and independent variable x can be written as,
[tex]y=ba^x+c[/tex]
Here, a,b and c are the real numbers.
The arch support of a bridge can be modeled by the following function,
[tex]y=-0.0012x^2+300[/tex]
Here, x and y are measured in feet.
The height and width of the arch has to be found out. First, find the x intercept of the function. As at the x intercept, the y equal to zero. Therefore,
[tex]0=-0.0012x^2+300\\0.0012x^2=300\\x=\sqrt{25000}\\x=500[/tex]
As, the graph is symmetric around the y-axis. Thus, the -500 can also be a solution. Now, the width of the arch can be given as,
[tex]w=500-(-500)\\w=1000\rm ft[/tex]
Now similarly at x equal to zero, the function will be,
[tex]y=300[/tex]
Hence, the height and width of the arch which support of a bridge and modeled by the provided function is 1000 ft and 300 ft long respectively.
Learn more about the exponential function here;
https://brainly.com/question/15602982
what scale factor is applied to shape b to make shape a? I need help asap please
Answer:
For shape B to make shape A all numbers in shape B would have to be divided by 1.5
Step-by-step explanation:
Which graph represents a function with direct variation?
Answer:
Second graph with straight diagonal lines
Step-by-step explanation:
The second graph with straight diagonal lines represents the direct variation
The X and Y axis represents two variables A and B and these two variables in case of second graph with straight lines are directly proportional to each other.
Hence, If value of variable A increases, then value of variable B will also increase
Answer:
I believe it's the third one
explanation:
its one of the only graphs that the line passes through the orgin, and its linear.
Hope it helps and plase forgive me if I'm wrong
Solve the Following inequality by choosing all of Possible range of Values that make the Statement True.
2 (x) + 12 ≤ 30
Group of answer choices
9, 10, 11
7, 8, 9
-7, -8, -9
9.001, 9.002, 9.003
Answer:
7, 8, 9
-7, -8, -9
Step-by-step explanation:
2(x) + 12 ≤ 30
2x + 12 ≤ 30
2x ≤ 30 - 12
2x ≤ 18
x ≤ 9
x has to be less than OR equal to 9
What is the area of this figure? I give brainliest! :)
Answer:
276yd^2
Step-by-step explanation:
14*12 + 9*12 = 168+108 = 276
Answer:
It’s 276 yd square
Step-by-step explanation:
you would have to split the shape into two different shapes.
9x12=108
12x14=168
then you would add both areas to get 276 which is the total area for this shape.
In Ms. Chance's first period class, there are 9 students with hazel eyes, 10 with brown eyes, 7 with blue eyes, and 2 students with green eyes. Ms. Chance picks a student at random. Which color eyes is the student most likely to have?
A 5-foot tall student stands 15 feet from a flagpole. The student
casts a shadow 6 feet long which ends at exactly the same point
as the shadow of the flagpole.
How many feet tall is the flagpole, to the nearest tenth of a foot?
Answer:
17.5 ft
Step-by-step explanation:
Draw a picture as shown in the attached image. From the image, you can see that a proportion can be set up comparing the height of the flagpole and student to their respective shadows. Once you set up the proportion, solve to get the height of the flagpole.
The percentage of married couples who own a single family home is 33% for a given population. A financial analyst is interested in the impact that home mortgages have on a couple's finances. As the financial analyst sets up a study, they are curious about the impact of sample size. What is the standard error of the sampling distribution of sample proportions for samples of size n=200, n=300, and n=400? Round all answers to the nearest thousandths if applicable.
Answer:
For samples of size n=200, the standard error is of 0.033.
For samples of size n=300, the standard error is of 0.027.
For samples of size n=400, the standard error is of 0.024.
Step-by-step explanation:
Central Limit Theorem
The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean [tex]\mu = p[/tex] and standard deviation [tex]s = \sqrt{\frac{p(1-p)}{n}}[/tex]
The percentage of married couples who own a single family home is 33% for a given population.
This means that [tex]p = 0.33[/tex]
Samples of 200:
[tex]s = \sqrt{\frac{0.33*0.67}{200}} = 0.033[/tex]
For samples of size n=200, the standard error is of 0.033.
Samples of 300:
[tex]s = \sqrt{\frac{0.33*0.67}{300}} = 0.027[/tex]
For samples of size n=300, the standard error is of 0.027.
Samples of 400:
[tex]s = \sqrt{\frac{0.33*0.67}{400}} = 0.024[/tex]
For samples of size n=400, the standard error is of 0.024.
Cuatro amigos, Andrés, Diego, Jairo y Luis juegan billar y acuerdan que aquel que pierda deberá duplicar la cantidad de dinero de los otros tres. Juegan cuatro partidas y cada uno de ellos pierde una vez, Andrés la primera, Diego la segunda, Jairo la tercera y Luis la cuarta. En ese momento cada uno de ellos tiene $ 32.000 ¿Cuánto dinero tenía cada uno de ellos al iniciar la apuesta?
Answer:
creo que 150
Step-by-step explanation:
pls pls pls :,) help me plssssssss no links no links NO LINKS pls and if you don’t know don’t answer because I really need help
Answer:
Step-by-step explanation:
use your calculator
What values are solutions to the inequality below ? X<9
SOMEONE HELP ME FASTTTT!
Answer:
81
Step-by-step explanation:
√x > 9
Squaring both sides, you will get
x > 81
Traci has 8 yards of fabric. She uses 10 feet of this fabric to make pillows. How much fabric does Traci have left
Answer:
She has 14 feet left
Step-by-step explanation:
1 yard = 3 feet of fabric
8 yards x 3 feet/yard = 24 feet
24 - 10 = 14 feet
Which is the greater decimal?
.721 or .72
Answer:
.721 is bigger because Il earned that the decimal that has a larger number as there last number is the greatest decimal.
Step-by-step explanation:
The solutions to quadratic equation are called (select all that applies)
Maximum or Minimum
Parabolas
Line of Symmetry
Zeros
Roots
Answer:
zeros
roots
Step-by-step explanation:
22yd 14 yd into square yards
Answer:
29.33
I thinks that right... lol :D
Forgive me if it wrong :(
Step-by-step explanation:
That is equivalent to 308 square yards. You can verify it on this website https://www.inchcalculator.com/square-yards-calculator/.
Dilations-He Said, She Said (12/10)
Answer:
um.....
Step-by-step explanation:
Stephanie is going to paint the walls and ceiling of her bedroom. Her room is 18 feet long, 17 feet wide and 9 feet high.
What is the square footage (area) of the walls and ceiling that Stephanie will be painting?
The square footage Stephanie will be painting is ________ square feet. (Enter the number only)
How many gallons of paint does Stephanie have to purchase if each gallon of paint covers 250 square feet?
Stephanie will have to buy _____ gallons of paint. (Remember, you can only purchase a WHOLE number of gallons;Enter the number only)
If each gallon cost $23.75, how much will Stephanie spend on paint?
Stephanie will spend $________ on paint. (Enter the number only)
Answer:
55
Step-by-step explanation:
A home is purchased for $ 794,000 with a 16% down payment. Find the monthly payment if the mortgage is 7.22% for 19 years. Round your answer to two
decimal places, if necessary,
Answer:
The monthly payment will be of $11,485.37
Step-by-step explanation:
Compound interest:
The compound interest formula is given by:
[tex]A(t) = P(1 + \frac{r}{n})^{nt}[/tex]
Where A(t) is the amount of money after t years, P is the principal(the initial sum of money), r is the interest rate(as a decimal value), n is the number of times that interest is compounded per year and t is the time in years for which the money is invested or borrowed.
A home is purchased for $ 794,000 with a 16% down payment.
So the value of the loan, that is, the amount subject to interest, will be given by:
[tex]P = (1-0.16)*794000 = 0.84*794000 = 666960[/tex]
How much will the interest accumulate to?
7.22% of interest means that [tex]r = 0.0722[/tex]
19 means means that [tex]t = 19[/tex]
Monthly means that [tex]n = 12[/tex]
So
[tex]A(t) = P(1 + \frac{r}{n})^{nt}[/tex]
[tex]A(t) = 666960(1 + \frac{0.0722}{12})^{12*19}[/tex]
[tex]A(t) = 2618664.5[/tex]
Monthly payment:
2618664.5 divided in 19*12 payments. So
2618664.5/(19*12) = 11485.37
The monthly payment will be of $11,485.37
The mother of a teenager has heard a claim that 23% of teenagers who drive and use a cell phone reported texting while driving. She thinks that this rate is too high and wants to test the hypothesis that fewer than 23% of these drivers have texted while driving. Her alternative hypothesis is that the percentage of teenagers who have texted when driving is less than
Answer:
H1 : p < 0.23
Step-by-step explanation:
The parameter percentage Given in the scenario above is 23%;
Proportion = 23/100 = 0.23
The null hypothesis ; H0 will support the claim ; Hence, H0 is expressed as ;
H0 : p = 0.23
Thw alternative hypothesis ; will negative the claim of the null hypothesis ; Hence, H1 will be ;
H1 : p < 0.23
What is the value of 5 units as a mixed number
5integer 0/1 is the mixed fraction of 5 units
Help Please my we dobnt know
Answer:
its B
Step-by-step explanation:
Answer:
Its the 3rd one.
Also can I have brain list
Step-by-step explanation:
Use the elimination method to solve the system of equations.Choose the correct ordered pair. - x + y = - 2 and 2 x - 3y = 4
Answer:(2,0) x=2,y=0
Step-by-step explanation:
Let's solve your system by elimination.
−x+y=−2;2x−3y=4
Multiply the first equation by 2,and multiply the second equation by 1.
2(−x+y=−2)
1(2x−3y=4)
Becomes:
−2x+2y=−4
2x−3y=4
Add these equations to eliminate x:
−y=0
Then solve−y=0 for y:
−y=0
−y/−1 =0/−1
(Divide both sides by -1)
y=0
Now that we've found y let's plug it back in to solve for x.
Write down an original equation:
−x+y=−2
Substitute0foryin−x+y=−2:
−x+0=−2
−x=−2(Simplify both sides of the equation)
−x/−1 = −2/−1
(Divide both sides by -1)
x=2
A rectangular prism has a length of 5 centimeters, a height of 6 centimeters, and a width of 9 centimeters. What is its volume, in cubic centimeters?
Answer:
270 cubic centimeters
Step-by-step explanation:
To find the volume you multiply the lenght times width times hight. So 5x6 is 30. 30x9=270
If a complete graph represents the road network in a country, it would be advantageous for that country in the even that an infectious disease hits one of the towns on the road network. Yes, it would be advantageous No, it would not be advantageous
Answer:
everyone
Step-by-step explanation:
V is a vector space. Mark each statement True or False. Justify each answer.
a. R^2 is a two-dimensional subspace of R^3.
b. The number of variables in the equation Ax D 0 equals the dimension of Nul A.
c. A vector space is infinite-dimensional if it is spanned by an infinite set.
d. If dimV D n and if S spans V, then S is a basis of V.
e. The only three-dimensional subspace of R^3 is R^3 itself.
Answer:
FalseFalseFalseFalseTrueStep-by-step explanation:
A) False ; R^2 is not a two dimensional subspace of R^3 because Vector R^2 will have 2 entries while vector R^3 has 3 entries
B) False : The number of variable in the equation is not equal to the Dimension because dim of Null A represents the number of free variables
C) False : This is because you can span R^3 with an infinite set of vectors but that doesn't make it infinite dimensional subspace
D) False : This is only possible when S has exactly n elements/vectors
E) True : Since R^3 is a three dimensional subspace it is spanned with 3 vectors whom are linearly independent
10 decreased by the sum of 3 + 5
Answer:
-2
Step-by-step explanation:
Answer:
answer is -2
Step-by-step explanation:
5+3=8
8-10= -2