Answer:
56.6 square yards.
Step-by-step explanation:
Given:
A fountain in the park has two circular pools that are the same size.
Question asked:
What is the total area of the pools if the radius is 3 yards ?
Solution:
First of all we will calculate the area of a circular pool.
As we know:
[tex]Area\ of\ circle=\pi r^{2}[/tex]
[tex]=\frac{22}{7} \times(3)^{2} \\ \\ =\frac{22}{7}\times9\\ \\ =\frac{198}{7} \\ \\ =28.28\ square\ yards[/tex]
Area of circular pool nearest tenth = 28.3 square yards
Now, as given that both pools are of same size.
Total area of the pools = 28.3 square yards + 28.3 square yards
= 56.6 square yards.
Thus, the total area of the pools are 56.6 square yards.
Answer:
ur answer is 56.5 and 18
Step-by-step explanation:
The population of the city of Miami is approximately 463,300 and is increasing at a rate of 3% each year. Use an exponential function to find the population of the city after 7 years. Round to the nearest whole number.
Step-by-step explanation:
The population of the city of Miami = 463,300
The rate of increase in population every year = 3%
The population of the city after 7 years = ?
By formula, [tex]P_{n} = P (1 +\frac{r}{100})^{n }[/tex]
Pn is the population after 7 years
P is the current population = 463,300
r = 3 %, n = 7
[tex]P_{7} = 463300 (1 +\frac{3}{100})^{7 }[/tex]
= 463300 (1.23)
= 569859
The population of the city after 7 years = 569,859
What is the value of x when x + 10 = 42
Answer: 32
Step-by-step explanation:
Use a fact family. 42 - 10 = 32.
You will get 32 as an answer.
So x = 32.
Answer:
32
Step-by-step explanation:
If x+10=42 then x=42-10 which makes x=32
what is the mean absolute deviation, round if needed.
78,93,84,97,100,77,94,96,93,92,90,89
Answer:
5.54
Step-by-step explanation:
5.54 is the (MAD)
The ticket price for a one way flight from Orlando to Philadelphia is regularly $149 if malia is purchasing a ticket for the day before thanksgiving and the airline marked the ticket price up 72% find the cost of her ticket
Answer:
the ticket will cost 256.28
Step-by-step explanation:
you need to multiply the cost of the ticket 149 by .72 and you get 107.28
then add 149 + 107.28 to get 256.28
A researcher conducts a related-sample study to evaluate two treatments with n = 16 participants and obtains a t statistic of t = 1.94. The treatment 2 is expected to have a greater sample mean than the treatment 1. What is the correct decision for a hypothesis test using α = .05?
Answer:
Not enough statistical evidence to prove that treatment 2 sample mean u2 is less than treatment 1 sample mean u1. So the claim may be supported.
Step-by-step explanation:
Solution:-
- The sample size of two treatments, n = 16
- The mean of sample treatment 1, u1
- The mean of sample treatment 2 , u2
- The significance level, α = .05
- State the hypothesis:
Null hypothesis : u2 - u1 > 0
Alternate hypothesis : u2 - u1 ≤ 0
- The rejection region of the T- critical for lower tailed test.
significance level, α = .05
degree of freedom v = n - 1 = 16 - 1 = 15
T-critical = - 1.75
- The T-test value is compared with T-critical:
T-test = 1.94
T- critical = -1.75
T-test > T-critical .. ( Null not rejected )
- Not enough statistical evidence to prove that treatment 2 sample mean u2 is less than treatment 1 sample mean u1. So the claim maybe supported.
Suppose the Marshall Islands have an area of about 70 square miles. Suppose a rectangle, with sides x and 2x + 4, has an area of 70 square miles. Find the value of x?
Answer:
The value of x is 5.
Step-by-step explanation:
We are given the following in the question:
Area of rectangle = 70 square miles
The sides of the rectangle are:
[tex]w = x, l = (2x+4)[/tex]
Area of rectangle =
[tex]A = l\times w[/tex]
Putting values, we get.
[tex]70 = (2x+4)x\\\Rightarrow 2x^2 + 4x - 70 = 0 \\\Rightarrow 2(x + 7)(x - 5) = 0\\\Rightarrow (x+7) = 0, (x-5) = 0\\\Rightarrow x = -7, x = 5[/tex]
Since, the value of x cannot be negative as it represents side of a rectangle.
Thus, the value of x is 5.
Jose completes 2 assignments per day and already completed 5 assignments. He needs to complete a total of 15 assignments. What is the equation matching this scenario?
Answer: 15 = 2x + 5
Step-by-step explanation:
15 = total
x = days
2 = assignments per day / growth
5 = already done / y-intercept
State the independent variable and the dependent variable in the linear relationship. Then find the rate of change for the situation. The cost of admission admission is $4848 for forfour pets pets and $9696 for eighteight pets pets. Determine the independent variable.
We have been given that the cost of admission is $48 for four pets and $96 for eight pets. We are asked to determine the independent variable and the dependent variable in the given linear relationship.
We can see that as the number of pets is increasing cost of admission is also increasing. This means that cost depends on number of pets.
Therefore, cost of admission is dependent variable and number of pets is independent variable.
To find rate of change, we will use slope formula.
We have been given two points on line that are (4,48) and (8,96).
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
Upon substituting the coordinates of our given points in slope formula, we will get:
[tex]m=\frac{96-48}{8-4}[/tex]
[tex]m=\frac{48}{4}[/tex]
[tex]m=12[/tex]
Therefore, the rate of change is $12 per pet.
Rewrite the following equation in slope-intercept form.
2x – 19y = -4.
Reduce the equation 5x+7y-35=0 to slope-intercept form, ... Feasible region (shaded) for a LPP is shown in following figure. ... Write the normal form of the equation of the plane 2x-3y+6z+ ... 8^-3x^7y^-11/5x^-19y^17z^-14.
Hope I helped! :)
Write .00026 as a multiple of a power of 10
Step-by-step explanation:
[tex]0.00026 = 2.6 \times {10}^{ - 4} \\ [/tex]
Suppose your parents started saving for your college education when you were 5 years old. Assume they saved $300 the first year, $325 the second year, $350 the third year, and so on increasing each year contribution by $25 if you are 17 in the last year of contribution how much will have been saved in all ?
Answer:
$575
Step-by-step explanation:
the explanation is in the picture
please like and Mark as brainliest
Words to know
Write the letter of the definition next to the matching word as you work through the
lesson. You may use the glossary to help you.
midpoint
A. the point on a graph at which the graph
crosses the x-axis
quadratic function
B. in a parabola, the point at which the
function goes from increasing to
decreasing or vice versa
vertex
C. a point on a line segment that is
equidistant from the two endpoints
x-intercept
D. a second-degree polynomial function that
can be written in the form ax? + bx + c,
where a, b, and c are real constants and a
does not equal zero
Answer:
Step-by-step explanation:
A. The extreme point which can be the maximum or minimum is called the vertex.
B. Parabolas increase or decrease which refers to the maximum or minimum.
Iding a go-kart costs $10 on Saturday and Sunday and $5 on Monday through Friday. Is the cost a function of the activity type? Explain why or why not.
Answer:
Answer is No, ITS NOT.
Refer below.
Step-by-step explanation:
There are two different cost of the same activity i.e. $10 on Saturday and Sunday and $5 on Monday through Friday, So it wouldn't be a function.
An inverted pyramid is being filled with water at a constant rate of 25 cubic centimeters per second. The pyramid, at the top, has the shape of a square with sides of length 4 cm, and the height is 12 cm. Find the rate at which the water level is rising when the water level is 4 cm.
Answer:
[tex]\frac{225}{16} cm/s[/tex]
Step-by-step explanation:
We are given that
[tex]\frac{dV}{dt}=25cm^3/s[/tex]
Side of base=4 cm
l=w=4 cm
Height,h=12 cm
We have to find the rate at which the water level rising when the water level is 4 cm.
Volume of pyramid=[tex]\frac{1}{3}lwh=\frac{1}{3}l^2h[/tex]
[tex]\frac{l}{h}=\frac{4}{12}=\frac{1}{3}[/tex]
[tex]l=\frac{1}{3}h[/tex]
Substitute the value
[tex]V=\frac{1}{27}h^3[/tex]
Differentiate w.r.t t
[tex]\frac{dV}{dt}=\frac{3}{27}h^2\frac{dh}{dt}[/tex]
Substitute the values
[tex]25=\frac{1}{9}(4^2)\frac{dh}{dt}[/tex]
[tex]\frac{dh}{dt}=\frac{25\times 9}{16}=\frac{225}{16} cm/s[/tex]
Final answer:
Using the volume of a pyramid and the concept of similar triangles, we set up a proportion to find the changing base area at a specific water level. Then, applying the product rule for differentiation, we relate the rate of volume change to the rate of height change, which allows us to solve for the water level rising rate when it is 4 cm.
Explanation:
To find the rate at which the water level is rising when the water level is 4 cm in an inverted pyramid being filled at a constant rate of 25 cubic centimeters per second, we can use the concept of similar triangles and the volume of a pyramid.
The volume V of a pyramid is given by V = (1/3)Bh, where B is the base area and h is the height. As the pyramid fills, the water forms a smaller, similar pyramid whose volume increases at a rate of 25 cm3/s.
Since the sides of the smaller pyramid are proportional to the height, we can set up a proportion using the side length s of the water level: s/4 = 4/12. Solving for s gives us s = 4 * (4/12) = 4/3 cm. The base area B of the water at this level is B = s2 = (4/3)2 cm2.
To find the rate of the rise of water dh/dt, we use the relation dV/dt = (1/3) * d(Bh)/dt. Since B is also changing with h, we have to use the product rule for differentiation: dV/dt = (1/3)(B(dh/dt) + h(dB/dt)). However, because B is a function of h2, dB/dt can be expressed as a function of dh/dt. This allows us to solve for dh/dt.
I NEED HELP SO BAD I WILL GIVE CROWN
A mechanic had 412 gallons of motor oil at the start of the day. At the end of the day, only 5 pints remained.
How many pints of motor oil did the mechanic use during the day?
4 pt
13 pt
19 pt
31 pt
The mean length of a candy bar is 43 millimeters. There is concern that the settings of the machine cutting the bars have changed. Test the claim at the 0.02 level that there has been no change in the mean length. The alternate hypothesis is that there has been a change. Twelve bars (n = 12) were selected at random and their lengths recorded. The lengths are (in millimeters) 42, 39, 42, 45, 43, 40, 39, 41, 40, 42, 43, and 42. The mean of the sample is 41.5 and the standard deviation is 1.784. Computed t = -2.913. Has there been a statistically significant change in the mean length of the bars?
Yes, because the computed t lies in the rejection region.
No, because the information given is not complete.
No, because the computed t lies in the area to the right of -2.718.
Yes, because 43 is greater than 41.5.
There has been a statistically significant change in the mean length of the candy bars since the computed t value, -2.913, is less than the critical t value of -2.718. Therefore, we reject the null hypothesis that the mean length has not changed.
Explanation:A hypothesis test is performed to test the claim at the 0.02 level that there has been no change in the mean length of candy bars. The null hypothesis is that the mean length remains 43mm, as given. The alternate hypothesis is that the mean length has changed. A sample of twelve bars is taken and with the given data, the computed t value is -2.913.
For a two-tailed test at the 0.02 significance level and degrees of freedom (n-1) equals 11, the critical t values are -2.718 and 2.718. If the computed t value falls beyond this range, that is, below -2.718 or above 2.718, we reject the null hypothesis. In this case, -2.913 is less than -2.718
Therefore, there has been a statistically significant change in the mean length of the bars as the t value lies in the rejection region.
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The correct option is Yes, because the computed t lies in the rejection region. The t-test analysis indicates a statistically significant change in the mean length of candy bars based on the computed t-value falling in the rejection region.
Null Hypothesis (H0): The mean length of the candy bars is 43 mm.
Alternate Hypothesis (Ha): There has been a change in the mean length of the candy bars.
T-Test Analysis: The computed t-value of -2.913 falls in the rejection region, indicating statistical significance, therefore rejecting the null hypothesis. Hence, there has been a statistically significant change in the mean length of the bars.
Tom gets $12 off a box of chocolates that had an original price of $48.What percentage is the discount
Answer:
25 percent
Step-by-step explanation:multiply 48 by .25 it will give you 12 which is the discount hope this helps god bless
Answer:
25%
Step-by-step explanation:
12/48=.25=25%
Two rectangular prisms have the same volume. The area of the base of the blue prism is 216 square units. The area of the base of the red prism is one third that of the blue prism. Which statement is true?
Answer:
D)The height of the red prism is three times the height of the blue prism
Step-by-step explanation:
Here is the complete question
Two rectangular prisms have the same volume. The area of the base of the blue prism is 2 1/6 square units. The area of the base of the red prism is one third that of the blue prism.
which statement is true?
a)The height of the red prism is one-third the height of the blue prism
B)The height of the red prism is the same as the height of the blue prism
C)The height of the red prism is six times the height of the blue prism.
D)The height of the red prism is three times the height of the blue prism
Solution
Since both prisms have the same volume, V = A₁h₁ = A₂h₂ where A₁ and A₂ are the areas of the red and blue prisms respectively and h₁ and h₂ are the heights of the red and blue prisms respectively. For the question, A₁ = A₂/3. Substituting this into the equation, A₁h₁ = A₂h₂
A₂h₁/3 = A₂h₂
h₁ = 3h₂ . So the height of the red prism is thee times the height of the blue prism.
Answer:
D
Step-by-step explanation:
Vince worked 675 hours in 15 weeks. At what rate did he work in hours per week?
Answer:
45 hours a week
Step-by-step explanation:
Ok, so we know that he worked 675 hours in 15 weeks.
So all we need to do is divide the hours by the amount of weeks, which is 15:
675/15= 45
So he worked 45 hours a week!
Solve the equation
x-23=5(2x+3)-2
Answer:
x=4.4
Step-by-step explanation:
expand the brackets
10x+15
full equation now
=x-23=10x+15-2 this makes it more simpler to find like terms
+2 on both sides
=x-25=10x+15
=+25 on both sides
x=10x+40
= -x on both sides
=9x=40
40/9=x
x=4.4
Answer:
[tex]x = - 4[/tex]
Step-by-step explanation:
[tex]x - 23 = 5(2x + 3) - 2 \\ x - 23 = 10x + 15 - 2 \\ - 23 - 15 + 2 = 10x - x \\ - 36 = 9x \\ \frac{ - 36}{9} = \frac{9x}{9} \\ - 4 = x[/tex]
Need help fast!!!!!!
Answer:
There is no answer to this, closest answer is the 1st choice
Step-by-step explanation:
A kangaroo hooped 3,520 yards to the lake with her baby in her pouch. She hopped the remaining 5,280 yard without her baby in her pouch. How many miles did the Kangaroo hop to the lake?
Answer:
5 miles
Step-by-step explanation:
since she hopped in yards you must mulitiply both numbers 3520 and 5280 by 3 since there are three feet in a yard. then add together then divide the sum by 5280 since a mile is 5280 feet.
3520 X 3 = 10560
5280 X 3 = 15840
10560 + 15840 = 26400
26400/ 5280 = 5
Which of the following is correct about a probability distribution? Select one: a. The sum of all probabilities of possible outcomes must equal 1.0. b. The outcomes must be mutually exclusive. c. The probability of each outcome must be between 0.0 and 1.0 inclusive d. All of these answers are correct
Answer: All of the answers are correct.
Step-by-step explanation:
A probability distribution is the collection of probabilities which defines the likelihood of observing all the various outcomes of an experiment or event. A probability distribution has two main properties which are that:
• Each probability in the distribution consist of a value between 0 and 1.
• The sum of all probabilities in the distribution equals 1.
Also, in probability, an outcome is the possible result of an experiment and each possible outcome gotten is unique, therefore the different outcomes are mutually exclusive i.e. only one outcome can occur on each trial during the experiment.
The sum of all probabilities of possible outcomes in a probability distribution must equal 1.0, and the probability of each outcome must be between 0.0 and 1.0, inclusive.
A probability distribution is a function that assigns probabilities to all possible outcomes of an experiment. The correct statement about a probability distribution is that the sum of all probabilities of possible outcomes must equal 1.0. This is known as the axiom of probability. In addition, the probabilities of each outcome must be between 0.0 and 1.0, inclusive. This ensures that probabilities are valid and within the appropriate range. The outcomes themselves do not have to be mutually exclusive; they can overlap or have common elements.
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what is the ratio of the areas between a 16” pizza and a 12” pizza
Step-by-step explanation:
Ratio of pizza =
16 : 12 = 8 : 6 = 4 : 3
Please help me with this question
Answer:
x = 55 degrees.
y = 49 degrees.
Step-by-step explanation:
AB = AD and BC = DC so we have 2 isosceles triangles here thus the base angles are equal.
Therefore m < y = (180 - 82)/2 = 98/2
= 49 degrees.
m < x = (180 - 2*35)/2 = 55 degrees.
Which is the value of this expression when a = negative 2 and b = negative 3?
(Start Fraction 3 a Superscript negative 3 Baseline b squared Over 2 a Superscript negative 1 Baseline b Superscript 0 Baseline End Fraction) squared
Start Fraction 4 Over 9 End Fraction
Answer:
iiiiiiiiiiiiiiiiiiiiiiii believe its 8
Step-by-step explanation:
Answer:
729/64
Step-by-step explanation:
:)
Each blue cube represents one cubic unit of volume. What is the volume of the large box? A) 20 cubic units B) 48 cubic units C) 288 cubic units D) 384 cubic units
Answer:
The volume of the large box is 384 cubic units
Step-by-step explanation:
Here, we have;
The number of cubes along the base of the front of the large box (width) = 8 cubes
The number of cubes along the base of the side of the large box (length) = 8 cubes
The number of cubes along the right side of the front of the large box (the box height) = 6 cubes
The volume of the large box = Length × Width × Height
∴ The volume of the large box = 8 cubes × 8 cubes × 6 cubes = 384 cubic units.
The volume of the large box = 384 cubic units.
The dot plot shows how much hairdressers in Margot's area charge for a woman's haircut. The least expensive cut is $25. Margot described the data as having a spread from $25 to $47, seven gaps, a cluster from $35 to $37, and a center of $37. Where did Margot make an error? Price of a Woman's Haircut (in dollars) The spread is from $25 to $46. There are 11 gaps. The cluster is from $36 to $37. The center is at $36
Answer:
The center of the plot is at $36 rather than $37
Center = $ 36
Step-by-step explanation:
The description by Margot is accurate except for the following observation
From the dot plot there are 31 dots, therefore, the center should be at the median mark of the dot plot of the graph which is the 16th dot.
By looking at the dot plot it is observed that both 16th dot and the middle of the cluster are located on the $37.
That is the point where Margot make an error is defining the center as $37, where the center is observed to be $36.
Answer:
36$
Step-by-step explanation:
Just did it.
if you flip 3 coins what is h the probability you’ll get 2 tail and 1 head in any order?
Answer:
If you flip three fair coins,what is the probability that you'll get heads on the first two flips and tails on the last flip? So I have 3 coins and I flip them ... If H = Heads and T = Tails, your possible outcomes are. HHH. HHT. HTH. THH. HTT ... So, the probability of HHT is 1/8 = 0.125 = 12.5%. Upvote • 0 Downvote.
Step-by-step explanation:
How much of the circle is shaded? Write your answer as a fraction in simplest form.
Answer:
I think it's 5/21.
Step-by-step explanation:
1/3=7/21
3/7=9/21
7/21+9/21=16/21
21/21-16/21=5/21
5/21 can't be reduced.
5/21+7/21+9/21=21/21 or 1