78=.75x or $78 is 75% of the original price before the discount 78/.75=x x=104 is the original price proof 104-(.25*104)=78 104-26=78 78=78
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?
What is the y-intercept of y= 2/3x+2
1.(2,3)
2.(3,2)
3.(0,2)
4.(-3,0)
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
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
A 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
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]
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
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?
A storage tank contains a liquid radioactive element with a half-life of 96 years. It will be relatively safe for the contents to leak from the tank when 0.02% of the
radioactive element remains. How long must the tank remain intact for this storage procedure to be safe?
The tank must remain intact for years.
(Round the base of the exponential function to four decimal places. Then round the final answer to the nearest year as needed.)
Answer:
The tank must remain intact for 1183 years.
Step-by-step explanation:
Exponential equation for decay:
The amount of a substance after t years is given by:
[tex]A(t) = A(0)e^{rt}[/tex]
In which A(0) is the initial amount and r is the decay rate.
A storage tank contains a liquid radioactive element with a half-life of 96 years.
This means that [tex]A(96) = 0.5A(0)[/tex], and we use this to find r.
[tex]A(t) = A(0)e^{rt}[/tex]
[tex]0.5A(0) = A(0)e^{96r}[/tex]
[tex]e^{96r} = 0.5[/tex]
[tex]\ln{e^{96r}} = \ln{0.5}[/tex]
[tex]96r = \ln{0.5}[/tex]
[tex]r = \frac{\ln{0.5}}{96}[/tex]
[tex]r = -0.0072[/tex]
So
[tex]A(t) = A(0)e^{-0.0072t}[/tex]
It will be relatively safe for the contents to leak from the tank when 0.02% of the radioactive element remains. How long must the tank remain intact for this storage procedure to be safe?
This is t for which [tex]A(t) = 0.0002A(0)[/tex]. So
[tex]A(t) = A(0)e^{-0.0072t}[/tex]
[tex]0.0002A(0) = A(0)e^{-0.0072t}[/tex]
[tex]e^{-0.0072t} = 0.0002[/tex]
[tex]\ln{e^{-0.0072t}} = \ln{0.0002}[/tex]
[tex]-0.0072t = \ln{0.0002}[/tex]
[tex]t = -\frac{\ln{0.0002}}{0.0072}[/tex]
[tex]t = 1183[/tex]
The tank must remain intact for 1183 years.
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?
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
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
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
click image to see it all:))))
9514 1404 393
Answer:
16 miles
Step-by-step explanation:
The problem can be modeled by a right triangle with one angle of 7° and the side opposite being 10,000 ft. The distance needed is the hypotenuse of the triangle, so the relevant trig relation is ...
Sin = Opposite/Hypotenuse
Hypotenuse = Opposite/Sin
air distance = (10,000 ft)/sin(7°) ≈ 82,055 ft
At 5,280 ft per mile, that is ...
(82,055 ft)/(5,280 ft/mi) ≈ 15.54 mi
The plane's air distance to the airport is about 16 miles.
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.
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
Pat made a total of 48 pottery plates and cups, how many plates did she make?
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
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:
Help please! I think I wrote the rectangle right but I do not get the questions!
Step-by-step explanation:
perimeter = 2×(7+5) = 2×12= 24 units
area = 7×5 = 35 sq. units
Which pair of functions are inverses of each other?
Answer:
D.f(x)=2x-9and g(x)=X+9/2
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
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:
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:
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.
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
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
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