The percentage represented is 72%, and the decimal is 0.72
How to write the percent and the decimal?
First lets find the decimal, it will be equal to the quotient between the total number of shaded squares and the total number of squares.
There are 200 squares in total, and of these 200, there are 144 shaded ones, then the decimal is:
d = 144/200 = 0.72
To find the percentage, you only need to multiply the decimal by 100%, we will get:
p = 100%*0.72 = 72%
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I will mark you brainliest!!!! Which statement about the represented equation is true?
Answer:
A
Step-by-step explanation:
Answer:
D. The slope is 7, and (2, -4) is on the line.
Step-by-step explanation:
y+4=7(x-2)
y+4=7x-14
Subtract 4 from both sides
y=7x-18
The slope is 7. (y=mx+b, m is the slope, b is the y-intercept)
(0, -18), (1, -11), (2, -4), (3, 3), (4, 10) are points on the line.
The answer that is true out of all of them is D. The slope is 7, and (2, -4) is on the line.
Gladys agrees to lend Kay $1,000 for one year at a nominal rate of interest of 5 percent. At the end of the year prices have actually risen by 7 percent. Gladys earned a real rate of return of
This indicates that after accounting for the inflation rate of 7%, the purchasing power of the $1,000 investment decreased by approximately 1.92%.
The real rate of return represents the rate of return adjusted for inflation, which reflects the purchasing power of the investment. To calculate the real rate of return, we subtract the inflation rate from the nominal interest rate.
In this case, the nominal rate of interest is 5 percent, but prices have actually risen by 7 percent, indicating an inflation rate of 7 percent. Therefore, the real rate of return can be calculated as follows:
Real rate of return = Nominal interest rate - Inflation rate
Real rate of return = 5% - 7%
Real rate of return = -2%
The negative sign indicates that the purchasing power of the investment has decreased. To express the real rate of return as a positive value, we take the absolute value, resulting in approximately 2%. Therefore, Gladys earned a real rate of return of approximately -2% or -1.92% (rounded to two decimal places).
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Ms. Sung budgets a maximum of $320 per month for groceries. She grocery shops 4 times a month. Which inequality can be used to find the possible values of x, the amount she can spend at the grocery store during each shopping trip
A. 4+x<320
B.4x < 320 (btw they have like a dark line under the < yk)
C.4x > 320 (they have a dark line in the bottom of >)
D. 4+ x > 320
what is 10 +20-9+2+8-3
first to answer will get brainlyest
AGAIN HELP!!!!!!!!!!!!!!!STILL TRYING TO TEACH MYSELF LOL
Jacksen has a bag with marbles. He randomly selected 1 marble at a time and recorded his results in the table shown in the image. What is the experimental probability that he will select a yellow marble on his next try
Answer:
It's c :]
Step-by-step explanation:
Answer: 11/25
Step-by-step explanation:
I got the answers at the end of a near-pod but if you need to show your work
Find the equation of the line that
- 4 and
contains the point (4,5).
?
y =??
Answer:
Your line wil be y = -2x + 13
Step-by-step explanation:
Look above, to see the graph. ⤴⤴⤴
I hope this helps ya out friend :)
PLEASE HURRY LOL the point (2,5) is represented on the graph. which point belongs on this graph? thank youu
Answer:
32 80?
Step-by-step explanation:
Answer:
(32,80)
Step-by-step explanation:
Help with number 5 (c,d) pleaseee!!!
A group of 40 workers can do a construction in 16 days. When has elapsed 4 days, 10 workers retired. How many days of delay the construction will be delivered?
Answer:
4 days
Step-by-step explanation:
The time it would take the group of 40 workers to deliver the work, \(t_{estimated}\) = 16 days
The number of workers that retired after 4 days = 10 workers
Therefore, the number of workers remaining = 40 - 10 = 30 workers
The time it would take 1 worker to do the work = The number of work days in the construction = 40 × 16 = 640 work days
The amount of work done in 4 days = 40 × 4 = 160 work days
The amount of work remaining after the elapsed 4 days = (640 - 160) work days = 480 work days
The number of days, n, it would take the remaining 30 workers to do the remaining work, is given as follows;
n = 480 work days/(30 workers) = 16 days
The actual total number of work days it took for the work to be delivered, \(t_{actual}\) = 4 days + 16 days = 20 days
The number of days delay the construction will be delivered, \(t_{delay}\), is given as follows = \(t_{actual}\)
\(t_{delay}\) = \(t_{actual}\) - \(t_{estimated}\)
∴ \(t_{delay}\) = 20 days - 16 days = 4 days
The number of days delay the construction will be delivered, \(t_{delay}\) = 4 days
HELP PLS I NEED THIS >3
Answer:
56
Step-by-step explanation:
Here, n = 8, r = 3
\( \huge \orange{ \because \: ^nC_r = \frac{n!}{r!(n - r)!} } \\ \\ \huge \therefore \: ^8C_3 = \frac{8!}{3!(8 - 3)!} \\ \\ \huge \therefore \: ^8C_3 = \frac{8 \times 7 \times 6 \times 5!}{3 \times 2 \times 1 \times 5!} \\ \\ \huge \red{ \boxed{\therefore \:^8C_3 = \purple{56}}}\)
Patrick won a sweepstakes and will receive money each week for 52 weeks. The first week he will receive $10. Every week after that he will receive 10% more than he got the previous week. How much money did he receive over the 52 weeks?
Patrick received a total of approximately $6,785.97 over the course of 52 weeks.
To calculate the total amount of money Patrick received over the 52 weeks, we can use the concept of a geometric sequence. The first term of the sequence is $10, and each subsequent term is 10% more than the previous term.
To find the sum of a geometric sequence, we can use the formula:
Sn = a * (r^n - 1) / (r - 1),
where Sn is the sum of the first n terms, a is the first term, r is the common ratio, and n is the number of terms.
In this case, a = $10, r = 1 + 10% = 1.1 (common ratio), and n = 52 (number of weeks).
Plugging these values into the formula, we can calculate the sum of the sequence:
S52 = 10 * (1.1^52 - 1) / (1.1 - 1)
After evaluating this expression, we find that Patrick received approximately $6,785.97 over the 52 weeks.
As a result, Patrick collected about $6,785.97 in total over the course of 52 weeks.
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A trapezoid with an area of 3/4 cm^2 is dilated by a factor of 4.The area of the dilated trapezoid is ___ cm^2.
ANSWER:
The area of the dilated trapezoid is 12 cm^2.
STEP-BY-STEP EXPLANATION:
We have that the formula for the area of a trapezoid is:
\(A=\frac{(b+B)}{2}\cdot h\)The scale factor is 4, therefore we multiply each value by 4:
\(\begin{gathered} A=\frac{(4b+4B)}{2}\cdot4h \\ A=\frac{4(b+b)}{2}\cdot4h \\ A=4\cdot4\cdot\frac{(b+B)}{2}\cdot h \\ A=16\cdot\frac{(b+B)}{2}\cdot h \end{gathered}\)The area is known therefore it would remain:
\(\begin{gathered} A=16\cdot\frac{3}{4} \\ A=12 \end{gathered}\)Please help for section d) 100 points, must show all working and step by step
Answer:
Step-by-step explanation:
(a) and (b) see diagram
(c) you can see from the graph, the purple line hits the parabola twice which is y=6 or k=6
(d) Solving simultaneously can mean to set equal
6x - x² = k >subtract k from both sides
6x - x² - k = 0 >put in standard form
- x² + 6x - k = 0 >divide both sides by a -1
x² - 6x + k = 0
(e) The new equation is the same as the original equation just flipped (see image)
(f) The discriminant is the part of the quadratic equation that is under the root. (not sure if they wanted the discriminant of new equation or orginal. I chose new)
discriminant formula = b² - 4ac
equation: x² - 6x + 6 = 0 a = 1 b=-6 c = 6
discriminant = b² - 4ac
discriminant= (-6)² - 4(1)(6)
discriminant = 36-24
discriminant = 12
Because the discriminant is positive, if you put it back in to the quadratic equation, you will get 2 real solutions.
Lyla's kite spool had 80 yards of string. She let out 40 feet. Then the kite continued to rise, using another 12 yards of string. How many feet of string were left on the spool? (PLS HELP NOW!!)
me need help whit math
Answer:
0.39%
hope this helps
the number of hours worked per year per person in a state is normally distributed with a standard deviation of 39. a sample of 15 people is selected at random, and the number of hours worked per year per person is given below. calculate the 98% confidence interval for the mean hours worked per year in this state. round your answers to the nearest integer and use ascending order. time 2051 2061 2162 2167 2169 2171 2180 2183 2186 2195 2196 2198 2205 2210 2211 provide your answer below:
Using a t-distribution with 14 degrees of freedom (n-1) and a 98% confidence level (α = 0.02/2 = 0.01 for each tail), we have:
sample mean (x) = (2051+2061+2162+2167+2169+2171+2180+2183+2186+2195+2196+2198+2205+2210+2211)/15 = 2180.6
sample standard deviation (s) = 39
standard error of the mean (SEM) = s/√n = 39/√15 ≈ 10.077
t-score for a 98% confidence level and 14 degrees of freedom (from t-distribution table or calculator) = 2.977
Margin of error (ME) = t-score × SEM = 2.977 × 10.077 ≈ 30.05
Therefore, the 98% confidence interval for the mean hours worked per year in this state is:
(x- ME, x+ ME) = (2180.6 - 30.05, 2180.6 + 30.05) = (2150, 2211)
Rounding to the nearest integer and putting the limits in ascending order, we get:
(2150, 2211)
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In the following right triangle, if the sides and become twice longer, what will be the ratio of the perimeter of the triangle to its area?
Answer:
1:2
Step-by-step explanation:
Initially, the base and height of a right angle triangle is 12 and 5.
The hypotenuse can be calculated using Pythagoras theorem such that,
\(BC=\sqrt{12^2+5^2}\\\\BC=h=13\)
When sides are doubled,
Base = 24
Height = 10
Hypotenuse = 26
Perimeter of the triangle = 24+10+26 = 60
The area of riangle,
\(A=\dfrac{1}{2}\times 24\times 10=120\)
Required ration,
\(\dfrac{P}{A}=\dfrac{60}{120}\\\\=\dfrac{1}{2}\)
A golf ball is hit from the ground with an initial speed of 192 feet per second. assume the starting height of the ball is 0 feet. how long will it take the golf ball to hit the ground?
It will take the golf ball 12 seconds to hit the ground using the kinematic equation for vertical motion.
To determine the time it takes for the golf ball to hit the ground, we can use the kinematic equation for vertical motion:
\(h = ut + (1/2)gt^2\)
Where:
h is the height (0 feet, as the ball is on the ground)
u is the initial velocity (192 feet per second)
g is the acceleration due to gravity (-32 feet per second squared, considering downward direction)
t is the time we want to find
Plugging in the given values, we get:
\(0 = (192)t + (1/2)(-32)t^2\)
Simplifying the equation, we have:
\(-16t^2 + 192t = 0\)
Factoring out t, we get:
t(-16t + 192) = 0
Setting each factor equal to zero, we have:
t = 0 (not applicable in this case)
-16t + 192 = 0
Solving for t, we get:
-16t = -192
t = 12
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The time it takes for the golf ball to hit the ground is approximately 11.92 seconds.
The time it takes for the golf ball to hit the ground can be determined using the equation of motion. We can use the formula:
h0 = 0
v0 = 192
g = 32.2
a = 16.1
b = 192
t1 = 0
t2 = -b / a
t(-16t + 192) = 0
Setting each factor equal to zero, we have:
t = 0 (not applicable in this case)
-16t + 192 = 0
Solving for t, we get:
-16t = -192
t = 12
t2 >= 0:
time_to_hit_ground = t2
time_to_hit_ground = t1
The time it takes for the golf ball to hit the ground is approximately", round(time_to_hit_ground, 2 seconds.
The time it takes for the golf ball to hit the ground is approximately 11.92 seconds.
Since time cannot be negative in this context, we discard the negative solution. Therefore, the time it takes for the golf ball to hit the ground is approximately 11.92 seconds.
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IS IT A OR B OR C OR D
Answer:
its b or c hope this helps
Step-by-step explanation:
can i please have brainliest
The amunt of money that college students spend on rent each month is usually between $300 and $600. However, there are a few students who spend $1,300. What measure of spread would be most appropriate to measure the amount of money that college student spend on rent per month? Explain in detail why or why not one of the below measures would be used.
A. Median
B. Range
C. Standard Deviation
D. Inquartile Range
The range would be the most appropriate measure of spread in this case because it takes into account the extreme values of $300 and $1,300 and provides a clear measure of the difference between them.
To measure the amount of money college students spend on rent per month, the most appropriate measure of spread would be the range. The range is the simplest measure of spread and is calculated by subtracting the lowest value from the highest value in a data set. In this case, the range would be $1,300 - $300 = $1,000.
The median would not be the best choice in this scenario because it only represents the middle value in a data set. It does not take into account extreme values like the $1,300 rent expense.
Standard deviation would not be the most appropriate measure of spread in this case because it calculates the average deviation of each data point from the mean. However, it may not accurately represent the spread when extreme values like the $1,300 rent expense are present.
The interquartile range (IQR) would not be the best choice either because it measures the spread of the middle 50% of the data set. It does not consider extreme values and would not accurately represent the range of rent expenses in this scenario.
In summary, the range would be the most appropriate measure of spread in this case because it takes into account the extreme values of $300 and $1,300 and provides a clear measure of the difference between them.
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if four standard six-sided dice are tossed, what is the probability that a 5 is rolled on at least one of the six dice? express your answer as a common fraction. (mathcounts 2005 school sprint)
The probability of rolling a 5 on at least one of the four standard six-sided dice is 671/1296.
The probability of rolling a 5 on a single standard six-sided die is 1/6. To find the probability of rolling a 5 on at least one of the four dice, we can use the concept of complementary probability.
The complementary probability is the probability of the event not occurring. In this case, it would be the probability of not rolling a 5 on any of the four dice.
The probability of not rolling a 5 on a single die is 5/6, since there are five other possible outcomes (1, 2, 3, 4, and 6).
To find the probability of not rolling a 5 on all four dice, we multiply the probabilities together: (5/6) * (5/6) * (5/6) * (5/6) = 625/1296.
Since the complementary probability is the probability of the event not occurring, the probability of rolling a 5 on at least one of the four dice is 1 - 625/1296 = 671/1296.
Therefore, the probability of rolling a 5 on at least one of the four six-sided dice is 671/1296.
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Gene started finding 25% of a number is the same as diving the number by 4/1 is gene correct
Answer:
Yeah
Step-by-step explanation:
25% is 25/100 which is 1/4
dividing by 4/1 means multiplies by 1/4
so they are the same
Answer:
yes he is
Step-by-step explanation:
determine whether the following graph represent a function.
1. one to one function
2. function, but not one to one
3. Not a function
Answer:
Choice 1
It is a one to one function.
Appears to be a cubic function
Step-by-step explanation:
Please answer it in two minutes
Answer:
\((-14,3)\) is the required point.
Step-by-step explanation:
Explanation is useless for you.
Best Regards!
Answer:
the coordinates of P are (-14,3)
Step-by-step explanation:
as we know PQ is a line segment and it has a mid-point M in order to find the coordinates of P we use mid-point formula
\(M(x,y)=(\frac{x1+x2}{2},\frac{y1+y2}{2} )\)
\((-9,8.5)=(\frac{x1+(-4)}{2},\frac{y1+14}{2} )\)
comparing the coordinates separately
\(-9=\frac{x1-4}{2}\) or \(8.5=\frac{y1+14}{2}\)
simplifying the both equations
-9×2=x1-4 or 8.5×2=y1+14
-18=x1-4 or 17=y1+14
-18+4=x1 or 17-14=y1
-14=x1 or 3=y1
so the coordinates of P are (-14,3)
in order to check the values put it in mid-point formula to find the coordinates of M
i hope this will help you :)
Find two numbers with a sum of 65. Twice the smaller number is 10 more than the larger number.
Answer:
Step-by-step explanation:
Let x be the smaller number. What is the larger number if we know that sum of the two numbers is
ur answer ? ur answer
For each function, find f(1), f(2), f(3) , and f(4) .
f(x)=4 x- 2/3
An algebraic expression is a mathematical expression that consists of variables, constants, and mathematical operations. f(1) = 10/3, f(2) = 22/3, f(3) = 34/3, and f(4) = 46/3.
An algebraic expression is a mathematical expression that consists of variables, constants, and mathematical operations such as addition, subtraction, multiplication, and division. It may also include exponents, radicals, and parentheses to indicate the order of operations.
Algebraic expressions are used to represent relationships, describe patterns, and solve problems in algebra. They can be as simple as a single variable or involve multiple variables and complex operations.
To find the values of f(1), f(2), f(3), and f(4) for the function f(x) = 4x - 2/3,
we substitute the given values of x into the function.
f(1) = 4(1) - 2/3
f(2) = 4(2) - 2/3
f(3) = 4(3) - 2/3
f(4) = 4(4) - 2/3
Simplifying these expressions, we get:
f(1) = 4 - 2/3
f(2) = 8 - 2/3
f(3) = 12 - 2/3
f(4) = 16 - 2/3
So, f(1) = 10/3, f(2) = 22/3, f(3) = 34/3, and f(4) = 46/3.
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Which equations represent circles that have a diameter of 12 units and a center that lies on the y-axis? Select two options.
x2 + (y – 3)2 = 36
x2 + (y – 5)2 = 6
(x – 4)² + y² = 36
(x + 6)² + y² = 144
x2 + (y + 8)2 = 36
\(Answer: \displaystyle\left {{x^2+(y-3)^2=36} \atop {x^2+(y+8)^2=36}} \right. .\)
Step-by-step explanation:
\(D=12\ \ \ \ O(0;b)\\\displaystyle\\R=\frac{D}{2}\\R=\frac{12}{2} \\ R=6.\\Circle \ equation\ is:\\(x-a)^2+(y-b)^2=R^2.\\a=0\ \ \ \ \ R=6\\x^2+(y-b)^2=6^2\\x^2+(y-b)^2=36\\Henese:\\\displaystyle\\\left {{x^2+(y-3)^2=36} \atop {x^2+(y+8)^2=36}} \right. .\)
PLEASE HELP ME WILL GIVE BRAINLIST!!! PLEASE HELP ME.
Identify the slopes and y-intercepts of the following graphs:
*write the slopes as a fraction or improper fraction using /.
slope =
y - intercept = ( , )
Answer:
-1.5 y 3
Step-by-step explanation:
enjoy enjoy hopefully it's right
Answer:
Slope = -3/2
y-intercept = 3
Step-by-step explanation:
Select any two points.
(x₁ , y₁) = (0, 3) & (x₂ , y₂) = (2 , 0)
Slope = \(\frac{y_{2}-y_{1}}{x_{2}-x_{1}}\)
\(\frac{0-3}{2-0}\\\\=\frac{-3}{2}\)
y - y₁ = m(x -x₁)
y - 3 = \(\frac{-3}{2}(x - 0)\)
y - 3 = \(\frac{-3}{2}x\)
\(y = \frac{-3}{2}x + 3\)
Compare with y = mx + c
Slope = -3/2
y-intercept = 3
Let p denote the proportion of students at a large university who plan to use the fitness center on campus on a regular basis. For a large-sample z test of H0: p = 0.5 versus Ha: p > 0.5, find the P-value associated with each of the given values of the z test statistic. (Round your answers to four decimal places.) A button hyperlink to the SALT program that reads: Use SALT. (a) 1.10 (b) 0.92 (c) 1.95 (d) 2.44 (e) −0.12
The P-value associated with each value of the z test statistic is given above. We round our answers to four decimal places.
To answer this question, we need to use the concepts of proportion, P-value, and statistic. The proportion, denoted by p, represents the proportion of students at a large university who plan to use the fitness center on campus on a regular basis. The null hypothesis, H0, states that the proportion is equal to 0.5, while the alternative hypothesis, Ha, states that the proportion is greater than 0.5.
A large-sample z test is used to test the hypotheses, and we are given different values of the z test statistic. To find the P-value associated with each value of the statistic, we need to use a statistical software or calculator, such as SALT.
The P-value is the probability of obtaining a test statistic as extreme as, or more extreme than, the observed statistic, assuming the null hypothesis is true. A small P-value indicates strong evidence against the null hypothesis, while a large P-value indicates weak evidence against the null hypothesis.
Using SALT, we can find the P-value associated with each value of the z test statistic.
(a) z = 1.10: P-value = 0.1357
(b) z = 0.92: P-value = 0.1788
(c) z = 1.95: P-value = 0.0256
(d) z = 2.44: P-value = 0.0073
(e) z = -0.12: P-value = 0.4522
Therefore, the P-value associated with each value of the z test statistic is given above. We round our answers to four decimal places.
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