Answer:
16 inches
Step-by-step explanation:
Given,
Perimeter = 72 inches
Breadth = 20 inches
Perimeter = 2 ( L+B )
72 = 2 ( L+20)
72= 2L + 40
72-40=2L
32/2=L
L=16 inches
therefore , lenght of the tile is 16 inches
The area of a rectangle is 93.6 square inches. If the length of one of its sides is 5.2 in. what is its perimeter?
the area of a rectangle is the product of its length and width.
Find cotθ if θ terminates in Quadrant III and secθ = 2
a. - (sqrt 3)/3
b. (sqrt 3)/3
c. - sqrt 3
d. sqrt 3
Answer:
we have
secθ = 2
[tex] \frac{1}{cos θ} [/tex]=2
Cosθ =[tex] \frac{1}{2 }[/tex]
[tex] \frac{b}{h }=\frac{1}{2 }[/tex]
b=1
h=2
p=[tex] \sqrt{2²-1} = \sqrt{3} [/tex]
again
Cot θ=[tex] \frac{b}{p }[/tex]
Cot θ=[tex] \frac{1}{ \sqrt{3}} [/tex]
Cot θ=[tex] \frac{\sqrt{3}}{3} [/tex]
It lies in Quadrant III cot is positive
Cot θ=[tex] \frac{\sqrt{3}}{3} [/tex]
b. (sqrt 3)/3
Point D is located at (-2,-4) on a coordinate plane.
Part A
What are the coordinates of the point that is 5 units to the left of point D?
Part B
What are the coordinates of the point that is 5 units to the right of point D?
Answer:
Part A: (-7,-4)
Part B: (3,-4)
Step-by-step explanation:
How do I simplify 8 - 4(x - 7x) + 3
Answer:
11 + 24x
Step-by-step explanation:
8 - 4(x - 7x) + 3
8 - 4x + 28x + 3
11 - 4x + 28x
11 + 24x
Answer:
8-4x+28x+3 = 24x+11
Step-by-step explanation:
brainliest?
Four customers came into a bakery. The first one said, "give me half of all the donuts you have left, plus half a donut more." The second customer said, "give me half of all the donuts you have left, plus half a donut more." The third customer said, "give me three donuts." The last customer said, "give me half of all the donuts you have left, plus half a donut more." This last transaction emptied the display case of donuts. How many donuts were there to start with?
Step-by-step explanation:
Which is the correct answer...
Answer:
Option A
Step-by-step explanation:
We have y=X-7
sub 1st value 10 then we get y=10-7=3
In the same way y=11-7=4
Y=12-7=5
Y=13-7=6
Y=14-7=7
which best describe one-way to show 1/3 shaded?
Answer:
A
Step-by-step explanation:
Draw a circle and cut it into 3 equal parts. shade 1 part
hope this helps please mark as brainliest
Draw a circle and cut it into 3 equal parts best describe to show 1/3 shaded, option A is correct
Since 1/3 represents one out of three equal parts, drawing a circle and dividing it into 3 equal parts allows you to shade one of those parts to accurately represent 1/3.
This method ensures that each part represents an equal fraction of the whole, which is necessary to accurately show 1/3 shaded.
Hence, one-way to show 1/3 shaded is draw a circle and cut it into 3 equal parts. shade 1 part.
To learn more on Fractions click:
https://brainly.com/question/10354322
The complete question is:
which best describe one-way to show 1/3 shaded?
(A) Draw a circle and cut it into 3 equal parts. shade 1 part
(B) Draw a circle and cut it into 3 unequal parts. shade 1 part
Bob and Anna are planning to meet for lunch at Sally's Restaurant, but they forgot to schedule a time. Bob and Anna are each going to randomly choose from either 1\text{ p.m.}1 p.m.1, start text, space, p, point, m, point, end text, 2\text{ p.m.}2 p.m.2, start text, space, p, point, m, point, end text, 3\text{ p.m.}3 p.m.3, start text, space, p, point, m, point, end text, or 4\text{ p.m.}4 p.m.4, start text, space, p, point, m, point, end text to show up at Sally's Restaurant. They must both choose exactly the same time in order to meet. Bob has a "buy one entree, get one entree free" coupon that he can only use if he meets up with Anna. If he successfully meets with Anna, Bob's lunch will cost him \$5$5dollar sign, 5. If they do not meet, Bob's lunch will cost him \$10$10dollar sign, 10. What is the expected cost of Bob's lunch?
Answer:
The expected cost is $8.75
Step-by-step explanation:
Given
[tex]Time = \{1pm, 2pm, 3pm, 4pm\}[/tex]
[tex]C_1 = \$5[/tex] --- If Bob and Anna meet
[tex]C_2 = \$10[/tex] --- If Bob and Anna do not meet
Required
The expected cost of Bob's meal
First, we list out all possible time both Bob and Anna can select
We have:
[tex](Bob,Anna) = \{(1,1),(1,2),(1,3),(1,4),(2,1),(2,2),(2,3),(2,4),(3,1),(3,2),(3,3)[/tex][tex],(3,4),(4,1),(4,2),(4,3),(4,4)\}[/tex]
[tex]n(Bob, Anna) = 16[/tex]
The outcome of them meeting at the same time is:
[tex]Same\ Time = \{(1,1),(2,2),(3,3),(4,4)\}[/tex]
[tex]n(Same\ Time) = 4[/tex]
The probability of them meeting at the same time is:
[tex]Pr(Same\ Time) = \frac{n(Same\ Time)}{n(Bob,Anna)}[/tex]
[tex]Pr(Same\ Time) = \frac{4}{16}[/tex]
[tex]Pr(Same\ Time) = \frac{1}{4}[/tex]
The outcome of them not meeting:
[tex]Different = \(Bob,Anna) = \{(1,2),(1,3),(1,4),(2,1),(2,3),(2,4),(3,1),(3,2)[/tex]
[tex],(3,4),(4,1),(4,2),(4,3)\}[/tex]
[tex]n(Different) = 12[/tex]
The probability of them meeting at the same time is:
[tex]Pr(Different) = \frac{n(Different)}{n(Bob,Anna)}[/tex]
[tex]Pr(Different) = \frac{12}{16}[/tex]
[tex]Pr(Different) = \frac{3}{4}[/tex]
The expected cost is then calculated as:
[tex]Expected = C_1 * P(Same) + C_2 * P(Different)[/tex]
[tex]Expected = \$5 * \frac{1}{4} + \$10 * \frac{3}{4}[/tex]
[tex]Expected = \frac{\$5}{4} + \frac{\$30}{4}[/tex]
Take LCM
[tex]Expected = \frac{\$5+\$30}{4}[/tex]
[tex]Expected = \frac{\$35}{4}[/tex]
[tex]Expected = \$8.75[/tex]
The expected cost is $8.75
PLEASE HELP THIS IS VERY IMPORTANT I'LL GIVE YOU BRAIN THING IF ITS CORRECT!! <3 NO LINKS PLEASEE.
Answer:
Options A, C, E
hope it helps
please mark brainliest
Carlos plays college soccer, and will attempt two goals in a row.
A = the event Carlos is successful on his first attempt. P(A) = 0.60.
B = the event Carlos is successful on his second attempt. P(B) = 0.55.
The probability that he makes the second goal GIVEN that he made the first goal is
0.35
What is the probability that he makes both goals?
Find the area of the triangle in the picture.
Answer:
A =16.25 cm^2
Step-by-step explanation:
The area of a triangle is given by 1/2 bh where b is the base and h is the height
A = 1/2 (5) * 6.5
A =16.25 cm^2
Pat made a total of 48 pottery plates and cups, how many plates did she make?
4 + (m -n )^4 when m =7 and n = 5 whats the value ?
Answer:
20
Step-by-step explanation:
We plug m and n into the expression because we know that it is. Therefore, the expression is 4+ (7-5)^4. Simplify this to get 4+(2)^4. 2^4 is equal to 2x2x2x2 which is equal to 4x4 which is equal to 16. Therefore, 2^4 is 16. 4+16 is equal to 20. Therefore, the answer is 20.
If this has helped please mark as brainliest
[tex]\huge\text{Hey there!}[/tex]
[tex]\large\textsf{Equation:}[/tex]
[tex]\mathsf{4 + (m - n )^4}[/tex]
[tex]\large\textsf{Solving:}[/tex]
[tex]\mathsf{4 + (m - n )^4}[/tex]
[tex]\mathsf{\mathsf{= 4 + (7 - 5)^4}}[/tex]
[tex]\mathsf{= 4 + (2)^4}[/tex]
[tex]\mathsf{= 4 + (2\times2\times2\times2)}[/tex]
[tex]\mathsf{= 4 + 2\times2\times2\times2}[/tex]
[tex]\mathsf{= 4 + 4\times 4}[/tex]
[tex]\mathsf{= 4 + 16}[/tex]
[tex]\mathsf{= 20}[/tex]
[tex]\large\textsf{Therefore, your answer should be:}[/tex]
[tex]\large\boxed{\frak{20}}\large\checkmark[/tex]
[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
Mr. Harris ran 2 miles in 14.5 minutes. Ms. Mullen ran 2.5 miles in 16 minutes. Ms. Hubbard ran 3.5 miles in 24 minutes.
A. Ms. Mullen was the fastest.
B. Ms. Hubbard was the fastest.
C. Mr. Harris was the fastest.
Answer:
A. Ms harris was the fastest considering she finished 2.5 miles under 14.5 minutes
Step-by-step explanation:
Which of the statements below are true? Select all that apply. A) The table shows a proportional relationship B) The table does not show a proportional relationship C) With $3.00, you could buy 10 bananas D) Each banana costs $0.30
Answer:
go to school, do your work, you are only cheating yourself, not the school, or end up homeless
Step-by-step explanation:
It is assumed that the mean weight of a Labrador retriever is 70 pounds. A breeder claims that the average weight of an adult male Labrador retriever is not equal to 70 pounds. A random sample of 45 male Labradors weigh an average of 72.5 pounds with a standard deviation of 16.1 pounds. Test the breeder's claim at
Answer:
z(s) is in the acceptance region we accept H₀. We don´t have enough evidence to support the breeder´s claim
Step-by-step explanation:
We will test the breeder´s claim at 95% ( CI) or significance level
α = 5 % α = 0,05 α /2 = 0,025
Sample Information:
sample size n = 45
sample mean x = 72,5 pounds
Sample standard deviation s = 16,1
1.-Hypothesis Test:
Null Hypothesis H₀ x = 70
Alternative Hypothesis Hₐ x ≠ 70
Alternative hypothesis contains the information about what kind of test has to be developed ( in this case it will be a two-tail tets)
2.-z (c) is from z-table z(c) = 1,96
3.- z(s) = ( x - 70 ) / 16,1 / √45
z(s) = (72,5 -70 ) *√45 / 16,1
z(s) = 2,5 * 6,71 / 16,1
z(s) = 1,04
4.-Comparing z(s) and z(c)
z(s) < z(c)
Then z(s) is in the acceptance region we accept H₀. We don´t have enough evidence to support the breeder´s claim
Complete Question:
It is assumed that the mean weight of a Labrador retriever is 70 pounds. A breeder claims that the average weight of an adult male Labrador retriever is not equal to 70 pounds. A random sample of 45 male Labradors weigh an average of 72.5 pounds with a standard deviation of 16.1 pounds. Test the breeder's claim at \alpha=0.04
a)State null and alt hypothesis
b)determine t statistics
c)compute the P value
d) decision about the test
Answer:
a)Null Hypothesis [tex]H_0:\mu=70[/tex]
Alternative Hypothesis[tex]H_1=\mu \neq70[/tex]
b) [tex]t=1.042[/tex]
c) [tex]TDIST(1.042)=0.30310338[/tex]
d)We reject the alternative hypothesis
Step-by-step explanation:
From the question we are told that:
Population mean [tex]\mu=70[/tex]
Sample size [tex]n=45[/tex]
Sample mean [tex]\=x=72.5[/tex]
Standard deviation [tex]\sigma=16.1 pounds.[/tex]
Significance level [tex]\alpha=0.04[/tex]
a
Generally the Hypothesis is mathematically given by
Null Hypothesis [tex]H_0:\mu=70[/tex]
Alternative Hypothesis[tex]H_1=\mu \neq70[/tex]
b) Generally the Equation for test statistics is mathematically given by
[tex]t=\frac{\=x-\mu}{\frac{s}{\sqrt{n} } }[/tex]
[tex]t=\frac{72.5-70}{\frac{16.1}{\sqrt{45}}}[/tex]
[tex]t=1.042[/tex]
c)
Generally From T distribution table P value is mathematically given by
[tex]TDIST(1.042)=0.30310338[/tex]
d)
Therefore as p value is greater tab significance level
[tex]0.30310338>0.04[/tex]
The Test statistics does nt fall in the rejection rejoin
Therefore
We reject the alternative hypothesis
You want to invest $300 in stock QRS. How many more shares of QRS will
you own at the end of the year if you use the DCA strategy instead of
investing all of your money at the start of the year?
Answer:
3 shares
Step-by-step explanation
Describe the end behavior of the graph of the function.
hx()=−3x4+4x3+10x2−8x+7
a.hx()→−∞as x→−∞and hx()→−∞as x→∞
b.hx()→−∞as x→−∞and hx()→∞as x→∞
c.hx()→∞as x→−∞and hx()→−∞as x→∞
d.hx()→∞as x→−∞and hx()→∞as x→∞
9514 1404 393
Answer:
a.hx()→−∞as x→−∞and hx()→−∞as x→∞
Step-by-step explanation:
The negative leading coefficient tells you the function tends toward -∞ as x gets large. The even degree tells you it goes the same direction as x tends toward -∞.
h(x) → -∞ for x large or small . . . . matches A
HELP
Which Trig ratio should be used to find the missing side?
A.Sin
B.Cos
C.Tan
Answer:
It's Sin.
Thumbs-up (^_-)
Step-by-step explanation:
the answer is A ,since the unknown side is opposite while the known side is the hypotenuse
Lisa, an experienced shipping clerk, can fill a certain order in 13 hours. Felipe, a
new clerk, needs 15 hours to do the same job. Working together, how long will it
take them to fill the order?
Referring to triangle ABC, find the area of the triangle.
a = 42.5 m, c = 35.5 m, B = 153.5°
Round to three significant digits.
Answer:
[tex]Area = 337[/tex]
Step-by-step explanation:
Given
[tex]a = 42.5[/tex]
[tex]c = 35.5[/tex]
[tex]B = 153.5^\circ[/tex]
Required
Area of triangle
This is calculated as:
[tex]Area = 0.5 *a* c * \sin(B)[/tex]
This gives:
[tex]Area = 0.5 *42.5* 35.5 * \sin(153.5)[/tex]
[tex]Area = 0.5 *42.5* 35.5 * 0.4462[/tex]
[tex]Area = 336.602125[/tex]
[tex]Area = 337[/tex] --- approximated
What is the y-intercept of y= 2/3x+2
1.(2,3)
2.(3,2)
3.(0,2)
4.(-3,0)
For each of the following variables, identify the type of variable (categorical vs. numerical).
(I) Fuel economy (miles per gallon) of used car
(II) Number of auto insurance claims in a month
1) (I) Categorical , and (II) Categorical
2) (I) Categorical , and (II) Numeric
3) (I) Numeric , and (II) Numeric
4) There is no correct match.
5) (I) Numeric , and (II) Categorical
Answer:
3) (I) Numeric , and (II) Numeric
Step-by-step explanation:
Numeric variable:
The variable assume number values.
Categorical values:
The variable assumes labels. Examples are yes/no, good/bad.
(I) Fuel economy (miles per gallon) of used car
(II) Number of auto insurance claims in a month
Both of these variables are numbers, none have labels, so they are both numeric. The correct answer is given by option 3).
1. Match the polygons with their appropriate clouds. A polygon can match to more than 1 cloud
You want to have 80000 college fund in 12 years. How much will you have to deposit now under the scenario below. Assume that you make no deposits into the account after the initial deposit.
An APR of 7.5% compounded daily
9514 1404 393
Answer:
$32,528.58
Step-by-step explanation:
For simplicity, we'll assume each year has 365 days.
The future value A of principal amount P at rate r compounded daily for t years is ...
A = P(1 +r/365)^(365t))
We want P when A = 80,000, r = 0.075, and t = 12.
P = A/(1 +r/365)^(365t)
P = $80000/(1+0.075/365)^(365·12) ≈ $32,528.58
You will have to deposit about $32,528.58.
Jamel discovers that the sum of point B and point C is zero.
which sentence is a correct statement about points B and C ?
Answer:
QUESTION:
Jamal discovers that the sum of point B and point C is zero which sentence is a correct statement about points B and C.A. point B is twice the distance to the left of zero as C is to the right of zero. .B. Point B is the opposite of point C..C. Point B has the value of zero and point C has a value less than zero. .D. Point B is positive while point C is negative
[tex] \huge\fbox\red{ᴀ}\huge\fbox\orange{ⁿ} \huge\fbox\pink{s}\huge\fbox\green{ʷ} \huge\fbox\blue{ᴇ}\huge\fbox\purple{ʳ}\ [/tex]
B. Point B is opposite of Point CStep-by-step explanation:
Let B (x1, y1) and C (x2, y2) be two points.
if sum of B and C is 0:
([x1 + x2]/2, [y1 +y2]/2) = (0, 0)
then
[x1 + x2]/2=0 then x1+x2=0 then x1 = -x2 similarly, [y1+y2]/2=0 then y1+y2 = 0 then y1=-y2
Therefore,
B= (-x2, -y2) while C (x2, y2)
Point B and C are additive inverses of each other I e they are Opposite
(x,y)=-(a,b)=(-a,-b)[a=x,b=y]Because then
x-a=0y-b=0A ship captain looks up at the top of a lighthouse at a 7 degree angle of elevation and calculates that he is 1221 feet from its base. How tall is
the lighthouse, rounded to two decimal places?
123.01 feet
134.78 feet
149.92 feet
148.80 feet
Twelve times of a number decreased by lo is equal to 14. write this in a mathematical sentence and find the number
Answer:
12n-10=14, n=2
Step-by-step explanation:
( Twelve times of a number decreased by 10 is equal to 14 ) This sentence can be written mathematically to be: 12n-10=14
The answer: Add 10 to both sides: 12n-10=14 > 12n-10+10=14+10 > 12n=24
Divide both sides by 12: 12n=24 > [tex]\frac{12n}{12} =\frac{24}{12}[/tex] > n=2
Students set a goal of collecting 900 cans for the canned food drive. The number of cans they have collected so far is 82% of their goal. How many more cans do the students need to collect to reach their goal?
Answer:
162 cans
Step-by-step explanation:
100 - 82 = 18
18% of 900 =
0.18 * 900 =
162
The baseball field is 9/10 of a mile from Benson’s house. Benson runs 3/10 of a mile and walks 4/10 of a mile on his way to the field. How much farther does Benson need to go to get to the baseball field?
Answer:
2/10 I believe
Step-by-step explanation:
3/10 + 4/10= 7/10
9/10 - 7/10 = 2/10