Answer:
The area of the park is equal to 2,500 square meters.
Step-by-step explanation:
Given that a man runs around a square park and covers 1km in five rounds, the following calculation must be performed to determine the area of the park:
Assuming that the park was square in shape, to calculate its area its base must be multiplied by its height (which are equal).
Thus, if in 5 laps the man runs 1 km, for each lap he will run 200 meters (1000/5). Thus, dividing 200 by the 4 sides of the square, we get 50 meters (200/4). Therefore, since 50 x 50 is equal to 2,500, the area of the park is equal to 2,500 square meters.
John wants to earn $30. He already has $12. What percent is he at his goal?
Answer:
40%
Step-by-step explanation:
40%
---
hope it helps
I don't really know how to explain sorry
b How much is 10% of 10 liters of milk?
C.How long is 10% of a 24-hour day?
d.How can you find 10% of any number?
Answer:
b. 1 liters of milk
c. 2.4 hours
d. (any number) /10% times 100
Step-by-step explanation:
because of the gravity of the earth
bobo Ampt
Suspecting that television repair shops tend to charge women more than they do men, Emily disconnected the speaker wire on her portable television and took it to a sample of 12 shops. She was given repair estimates that averaged $85, with a standard deviation of $28. Her friend John, taking the same set to another sample of 9 shops, was provided with an average estimate of $65, with a standard deviation of $21. Assuming normal populations with equal standard deviations, What is the the pooled estimate of the common variance with the 0.05 level
Answer:
The pooled estimate of the common variance is approximately 639.59
Step-by-step explanation:
The given parameters are;
The number of shops Emily visited, n₁ = 12 shops
The average repair estimate Emily was given, [tex]\overline x_1[/tex] = $85
The standard deviation of the estimate Emily was given, s₁ = $28
The number of shops John visited, n₂ = 9 shops
The average repair estimate John was given, [tex]\overline x_2[/tex] = $65
The standard deviation of the estimate John was given, s₂ = $21
The pooled estimate of the common variance, [tex]s_p^2[/tex], is given as follows;
[tex]s_p^2 = \dfrac{(n_1 - 1)\cdot s_1^2+(n_2 - 1)\cdot s_2^2}{n_1 + n_2-2}[/tex]
[tex]\therefore s_p^2 = \dfrac{(12 - 1)\cdot 28^2+(9 - 1)\cdot 21^2}{12 + 9-2} = 639.578947368[/tex]
∴ The pooled estimate of the common variance, [tex]s_p^2[/tex], ≈ 639.59
7 minus the product of 5 and a number n
Answer:
= 7 - 5n
Step-by-step explanation:
Product of 5 and n
= 5 × n
= 5n
Subtracted from 7
= 7 - 5n which is the answer.
I really do not know because it does not make sense
Which graph has an x-intercept of 5 and a y-intercept of -3?
Answer:
The first one
Step-by-step explanation:
Answer:
Its the first one.
Step-by-step explanation:
Solve for y when 48/y = 12. Y=
The solution for y in the equation 48/y = 12 is y = 4 .
To solve for y in the equation 48/y = 12, we can multiply both sides of the equation by y to eliminate the denominator:
48/y * y = 12 * y
On the left side, the y in the denominator cancels out:
48 = 12 * y
Next, divide both sides of the equation by 12 to isolate y :
48/12 = y
Simplifying, we get:
4 = y
Therefore, the solution for y in the equation 48/y = 12 is y = 4 .
To know more about equation click here :
https://brainly.com/question/29345119
#SPJ2
The probability that Scott will win his next tennis match is
5
What is the probability that he will not win?
Answer:
2.5
Step-by-step explanation:
Please help , ayudame Por favor
Answer:
Line segment AD
[tex]AD = \sqrt{(c-0)^{2}+(d-0)^{2}}[/tex]
[tex]AD = \sqrt{c^{2}+d^{2}}[/tex]
Line segment BC
[tex]BC = \sqrt{[(b+c)-b]^{2}+(d-0)^{2}}[/tex]
[tex]BC = \sqrt{c^{2}+d^{2}}[/tex]
Line segment AB
[tex]AB = \sqrt{(b-0)^{2}+(0-0)^{2}}[/tex]
[tex]AB = \sqrt{b^{2}+0^{2}}[/tex]
[tex]AB = b[/tex]
Line segment CD
[tex]CD = \sqrt{[c-(b+c)]^{2}+(d-d)^{2}}[/tex]
[tex]CD = \sqrt{b^{2}+0^{2}}[/tex]
[tex]CD = b[/tex]
Step-by-step explanation:
We defined the length of each side by the Equation of the Line Segment, which is a particular case of the Pythagorean Theorem. Let [tex]A(x,y) = (0,0)[/tex], [tex]B(x,y) = (b,0)[/tex], [tex]C(x,y) = (b+c, d)[/tex] and [tex]D(x,y) = (c,d)[/tex], we construct the equations below:
Line segment AD
[tex]AD = \sqrt{(c-0)^{2}+(d-0)^{2}}[/tex]
[tex]AD = \sqrt{c^{2}+d^{2}}[/tex]
Line segment BC
[tex]BC = \sqrt{[(b+c)-b]^{2}+(d-0)^{2}}[/tex]
[tex]BC = \sqrt{c^{2}+d^{2}}[/tex]
Line segment AB
[tex]AB = \sqrt{(b-0)^{2}+(0-0)^{2}}[/tex]
[tex]AB = \sqrt{b^{2}+0^{2}}[/tex]
[tex]AB = b[/tex]
Line segment CD
[tex]CD = \sqrt{[c-(b+c)]^{2}+(d-d)^{2}}[/tex]
[tex]CD = \sqrt{b^{2}+0^{2}}[/tex]
[tex]CD = b[/tex]
Classify a triangle with sides 10, 10, and 22.
Answer:
It would seem it's an isosceles triangle.
Step-by-step explanation:
An isosceles triangle has 2 equal sides (legs). It can have 3 equal sides, but that's not so in this case. I'd appreciate if someone could correct me if I'm wrong. :)
A farmer claims that the average mass of an apple grown in his orchard is 100g. To test this claim, he measures the mass of 150 apples that are grown in his orchard and determines the average mass per apple to be 98g. The results are calculated to be statistically significant at the 0.01 level. What is the correct interpretation of this calculation?
A. The data are not statistically significant at the 0.05 level.
B. The mean mass of any 150 apples grown in the farmer's orchard is 98g.
C. At the 0.01 level of significance, the mean mass of the apples grown in the farmer's orchard is different from 100g.
D. At the 0.01 level of significance, the mean mass of the apples grown in the farmer's orchard is 98g.
Answer:
C. At the 0.01 level of significance, the mean mass of the apples grown in the farmer's orchard is different from 100g.
Step-by-step explanation:
The null hypothesis is:
[tex]H_{0} = 100[/tex]
Because of the claim of the farmer.
The alternate hypothesis is:
[tex]H_{1} \neq 100[/tex]
The alternate hypothesis tests the farmer's claim at a significance level.
The results are calculated to be statistically significant at the 0.01 level.
This means that at the 0.01 level, the null hypothesis is rejected, that is, the mean mass of the farmer's orchard is different from 100. Since it is significant at the 0.01 level, it will be significant at the 0.05, 0.1, and increasing levels. So the correct answer is given by option C.
PART A: A landmark on the first map is a triangle with side lengths of 3 cm, 4 cm, and 5 cm. What are the side lengths of the triangle landmark on the second map? Show your work. It may help you to "draw" out the two maps and label the trails.
PART B: D. Draw one of the triangles from part C. Label the side lengths and vertices accordingly. You may use this drawing tool or draw your triangle on paper: https://apps.mathlearningcenter.org/pattern-shapes/
Complete Question:
Johnny printed two maps of a walking trail near his home. The length of the walking trail on the first map is 8 cm.
(a) Choose a length between 5 cm and 15 cm for the walking trail on the second map: ________cm.
(b) Determine the scale factor from the first map to the second map.
(c) A landmark on the first map is a triangle with side lengths of 3 cm, 4 cm, and 5 cm. What are the side lengths of the triangle landmark on the second map?
(d) Draw one of the triangles from part C. Label the side lengths and vertices accordingly. You may use this drawing tool or draw your triangle on paper:
Answer:
(a) Length = 4cm
(b) Scale factor = 0.5
(c) 3cm, 4cm and 5cm are represented by 1.5cm, 2cm and 2.5cm respectively, on the second scale
(d) See attachment for triangle
Step-by-step explanation:
(a) Choose a length between 5 cm and 15 cm
[tex]Length =4cm[/tex] --- This is solely up to you (you can make use of any length between 5 cm and 15 cm)
(b) The scale factor
The scale factor (k) is calculated as:
[tex]k = \frac{New\ Length}{Old\ Length}[/tex]
[tex]k = \frac{4cm}{8cm}\\[/tex]
[tex]k = 0.5[/tex]
(c) What are side lengths of 3 cm, 4 cm, and 5 cm on the second landmark
Using:
[tex]k = \frac{New\ Length}{Old\ Length}[/tex]
The old lengths, in this case are: 3cm, 4cm and 5cm
Make New length the subject
[tex]New\ Length = k * Old\ Length[/tex]
When [tex]Length = 3cm[/tex]
[tex]New\ Length = 0.5 * 3cm = 1.5cm[/tex]
When [tex]Length = 4cm[/tex]
[tex]New\ Length = 0.5 * 4cm = 2cm[/tex]
When [tex]Length = 5cm[/tex]
[tex]New\ Length = 0.5 * 5cm = 2.5cm[/tex]
So: 3cm, 4cm and 5cm are represented by 1.5cm, 2cm and 2.5cm respectively, on the second scale
(d) See attachment for triangle
What is the distance between the coordinates (9, 10) and (10, 2)?
Answer:
yes that's correct I offer to factor out
Answer:
7 units
Step-by-step explanation:
10 is the same distance so you would subtract
what about for a chihuahua?
pls help!!!
Answer:
The Chihuahua or Chihuahueño is a breed of dog native to Mexico. It is one of the oldest dog breeds on the American continent, as well as being the smallest dog in the world. The Chihuahua dog is originally from the Mexican state of Chihuahua.
Step-by-step explanation:
Are the expressions 3x + 8 and 2x + 14 equivalent expressions for x = 6? How do you know?
Answer:
Equivalent
Step-by-step explanation:
both give 26 as answer
How much could you save for retirement if you chose to invest the oney you spend on Starbucks coffee in one year? Assume you buy one venti latte for $4.50 each weekday for 50 weeks and can invest the total amount in a mutual fund earning 5% compounded annually for 30 years. ROUND THE ANSWER TO TWO DECIMAL PLACES.
Amount saved for retirement: ________________
Answer:
The answer should be $7,087.50
Step-by-step explanation:
4.50 x 50 = 225
225 x 1.05 = 236.25
236.25 x 30 = 7087.50
Compound interest is the interest we earned from the principal together with the interest.
The formula for compound interest:
A = P [tex](1 + \frac{R}{n})^{nT}[/tex]
P = $1125
R = 5% compounded annually
Time = 30 years.
The amount saved for retirement is $4861.13.
What is compound interest?It is the interest we earned from the principal together with the interest.
The formula for the amount earned with compound interest after n years is given as:
The formula for compound interest:
A = P [tex](1 + \frac{R}{n})^{nT}[/tex]
We have,
Principal:
There are 5 weekdays in a week.
50 weeks = 50 x 5 weekdays = 250 weekdays.
One weekday = $4.50
250 weekdays = 250 x 4.50 = $1125
Now,
P = $1125
Rate = R = 5%
Time = T = 30 years
n = 1
The formula for compound interest:
A = P [tex](1 + \frac{R}{n})^{nT}[/tex]
A = 1125 [tex](1 + \frac{5}{100}) ^{30}[/tex]
A = 1125 x 4.321
A = 4861.125
A = $4861.13
Thus,
The amount saved for retirement is $4861.13.
Learn more about compound interest here:
https://brainly.com/question/13155407
#SPJ2
Kiran's aunt is 17 years older than kiran. how old will kiran's aunt be when kiran is x years old.
Answer:
Kirans aunt is 32 years old
Step-by-step explanation:
When Kiran was born her/his Aunt would be 17 as the problem says, so just add 15 to 17 to make 32; therefore Kiran's Aunt is 32 years old
solve for the value of z
Answer:
z = 11
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of EqualityGeometry
Supplementary Angles: Angles that add up to 180°Step-by-step explanation:
Step 1: Identify
Diagram shows supplementary angles.
(9z + 7)° + 74° = 180°
Step 2: Solve for z
Add: 9z + 81 = 180[Subtraction Property of Equality] Subtract 81 on both sides: 9z = 99[Division Property of Equality] Divide 9 on both sides: z = 11Someone please help.
Find f(5/8) if f(x)= 4x- 1/4
Choose the linear inequality that describes the graph. The gray area represents the shaded region.
What is the slope of (10,-6) (-2,8)
which of these fractions represent 35%
35/10 1/35 100/35 or 35/100
Answer: 35/100
Step-by-step explanation: percents are always out of 100, so 100 will always be in the denominator.
Answer:
35/100
Step-by-step explanation:
35% is from 100%, so same for the fraction form 35/100
I could really use some help answering a few questions
giving brainliest *easy*
Step-by-step explanation:
The formula is given by :
[tex]s=\dfrac{m}{360}\times 2\pi r[/tex]
We have,
m = 19° and d = 9 cm
So,
[tex]s=\dfrac{19}{360}\times 2\pi \times \dfrac{9}{2}\\\\s=1.49[/tex]
Hence, this is the required soltion.
Determine the sum of these measures: 1 hour 52 minutes; 2 hours 6 minutes 2 hours 3 minutes; 1 hour 58 minutes
Answer:
6 hour and 110 Min
Step-by-step explanation:
Answer:
7 hours and 59 minutes
Step-by-step explanation:
1 hour 52 minutes = 60 + 52 = 112 minutes
2 hours 6 minutes= 120+6 =126 minutes
2 hours 3 minutes = 120 +3= 123 minutes
1 hour 58 minutes = 60 + 58 = 118 minutes
Total number of minutes / 60 minutes= # hours + minutes
479/60= Approximately 8 hours. It is 7 hours and 59 minutes to be exact.
Write the word sentence as an inequality.
One plus a number y is no more than -13.
Answer:
1+y [tex]\leq[/tex] -13
Step-by-step explanation:
The problem states that one plus y is No greater than -13.
This means that is less than or equal to -13.
It also gives you one plus y, or 1+y
Put everything together to get 1+y [tex]\leq[/tex] -13
Answer:
1+y=
Step-by-step explanation:
The straight-line distance between the points is ___ units, rounded to the nearest tenth.
Answer:
The straight-line distance between the points is approximately 8.6.
Step-by-step explanation:
The straight-line distance ([tex]d[/tex]) between the points is determined by the following Pythagorean identity:
[tex]d = \sqrt{x^{2}+y^{2}}[/tex] (1)
Where:
[tex]x[/tex] - Horizontal distance between the points.
[tex]y[/tex] - Vertical distance between the points.
Let consider that each square has a distance of 1 unit. If we know that [tex]x = 5[/tex] and [tex]y = -7[/tex], then the straight-line distance is:
[tex]d = \sqrt{5^{2}+(-7)^{2}}[/tex]
[tex]d \approx 8.6[/tex]
The straight-line distance between the points is approximately 8.6.
Which expression below is equivalent to -2(5x-8)?
-10x+16
-10x-8
3x-10
3x-8
-2(5x-8)
-10x+16
So A.
---
hope it helps
10. Complete the statement by using the Inverse Property
of Addition
-19 +?=0
find area
ASAP due in 10 mins
Find the length of the side and area of the square who perimeter is given below
(a) 44 cm
Answer:
Side length:11
Area: 121
Step-by-step explanation:
if its a square all sides should be equal so you can divide 44 by 4 which gives you 11 and then to find area you just multiply the two sides together which would be 11x11 and that equals 121
I'm pretty sure this is what it would be but it also seems over simplified and i might be missing something?