Answer:
Bradley practice 109500 more minutes than Jonas over the course of 2 years.
Step-by-step explanation:
Jonas practices guitar 1 hour a day for 2 years.
1 year = 365 days
2 years = [tex]365 \times 2 = 730 days[/tex]
1 hour = 60 minutes
So, Jonas practice for 60 minutes in 1 day
Jonas practice for minutes in 365 days =[tex]365 \times 60 =21900 minutes[/tex]
Bradley practices the guitar 2 hours a day more than Jonas.
So, Bradley practice the guitar for hours per day = 2+1=3 hours
3 hours = 3 \times 60 = 180 minutes
Bardley practice for minutes per day = 180 minutes
Bardley practice for minutes for 730 days = [tex]180 \times 730 =131400 minutes[/tex]
Difference in minutes in 2 years = 131400-21900=109500 minutes
Hence Bradley practice 109500 more minutes than Jonas over the course of 2 years.
A researcher wishes to estimate, with 99% confidence, the population proportion of adults who think the president of their country can control the price of gasoline. Her estimate must be accurate within 3% of the true proportion. a) No preliminary estimate is available. Find the minimum sample size needed. b) Find the minimum sample size needed, using a prior study that found that 26% of the respondents said they think their president can control the price of gasoline. c) Compare the results from parts (a) and (b).
Answer:
a) [tex]n=\frac{0.5(1-0.5)}{(\frac{0.03}{2.58})^2}=1849[/tex]
And rounded up we have that n=1849
b) [tex]n=\frac{0.26(1-0.26)}{(\frac{0.03}{2.58})^2}=1422.99[/tex]
And rounded up we have that n=1423
c) For this case we can see that if we have a prior estimate the minimum sample size required for the margin of error desired would be less as we can see in part b we reduce the sample size compared to the part a
Step-by-step explanation:
Part a
The critical value for a confidence level of 99% is for this case [tex]z_{\alpha/2} =2.58[/tex]
The margin of error for the proportion interval is given by this formula:
[tex] ME=z_{\alpha/2}\sqrt{\frac{\hat p (1-\hat p)}{n}}[/tex] (a)
And on this case we have that [tex]ME =\pm 0.03[/tex] and we are interested in order to find the value of n, if we solve n from equation (a) we got:
[tex]n=\frac{\hat p (1-\hat p)}{(\frac{ME}{z})^2}[/tex] (b)
Since we don't know any estimate for the true proportion we can use [tex]\hat p =0.5[/tex] as a godd estimator. And replacing into equation (b) the values from part a we got:
[tex]n=\frac{0.5(1-0.5)}{(\frac{0.03}{2.58})^2}=1849[/tex]
And rounded up we have that n=1849
Part b
For this case we have a prior estimate [tex]\hat p =0.26[/tex] and replacing we got:
[tex]n=\frac{0.26(1-0.26)}{(\frac{0.03}{2.58})^2}=1422.99[/tex]
And rounded up we have that n=1423
Part c
For this case we can see that if we have a prior estimate the minimum sample size required for the margin of error desired would be less as we can see in part b we reduce the sample size compared to the part a
Which of the following is not a kind of consumer credit?
a. installment credit
b. personal loans
service credit
d. marginal credit
C.
Please select the best ahswer from the choices provided
B
Answer:
Marginal Credit
Step-by-step explanation:
I actually have no clue.
i neeed helpppp plz 50 points
Part A
Consider the following ratios and state that whether these ratios forms a proportion?
Case1 - 20 friends to 15 strangers
Case 2 - 4 friends to 3 strangers
A
Yes
B
No
Part B
Find the ratio of the number of friends in Case 1 to the number of friends in Case 2.
Answer:
Note: Type the answer as shown. Ex: (3:8)
Answer:
A. Yes
B. 5 : 1
Step-by-step explanation:
Case 1
Friends : strangers
20 : 15
4 : 3
Case 2
Friends : Strangers
4 : 3
Ratio of friends
Case 1 : Case 2
20 : 4
5 : 1
Which decimal is equivalent to 5/12 ? A. 0.416 B. 0.416 C. 0.416 D. 0.416
Answer:
b
Step-by-step explanation:
just did it on edge
you flip a coin, what is p (tails)?
Answer:
1/2
Step-by-step explanation:
There are 2 sides to a coin, heads and tails
P (tails) =number of tails/ total
= 1/2
Use the information in the diagram to answer the questions.
100 percent is the 30 dollars wholesale price, 30 percent is the markup, and the retail price is unknown.
The original cost is .
The percent of the markup is .
The markup amount is .
The new price is .
Answer:
the original cost is $30 , the percent of the markup is 30% , the markup amount is $9 , the new price is $39.
Step-by-step explanation:
Answer:
below
Step-by-step explanation:
The original cost is
✔ $30
.
The percent of the markup is
✔ 30%
.
The markup amount is
✔ $9
.
The new price is
✔ $39
.
Samuel’s father is four years older than double Samuel’s age. their age difference is 22 years. how old are they
Answer:
Samuel is 18 and Samuel's father is 40
Step-by-step explanation:
Let F be Samuel's father's age
Let S be Samuel's age
F = 2S + 4
F - S = 22
F = 40
S = 18
Answer:
samuel is 18 and his father is in his 40s
Step-by-step explanation:
Aiden has $15.00 on his copy card. Each time he uses the card to make a photocopy, $0.06 is deducted from his card. Aiden wants to be sure that there will be at least $5.00 left on his card when he is finished. The inequality below relates x, the number of copies he can make, with his copy card balance. What is the maximum number of copies Aiden can make? 60 83 166 250
Answer:
The correct answer is 166
Step-by-step explanation:
I just toke the test and got it right :)
The maximum number of copies Aiden can make is 166.
What is an inequality?An inequality is a relation which makes a non-equal comparison between two numbers or other mathematical expressions. It is used most often to compare two numbers on the number line by their size.
Given that, Aiden has $15.00 on his copy card.
Each time he uses the card to make a photocopy, $0.06 is deducted from his card.
Aiden wants to be sure that there will be at least $5.00 left on his card when he is finished.
we need to find, the maximum number of copies Aiden can make,
The inequality below relates x, the number of copies he can make, with his copy card balance.
15 - 0.06x ≥ 5
15 - 5 ≥ 0.06x
10 ≥ 0.06x
x ≥ 10/0.06
166 ≥ x
Hence, the maximum number of copies Aiden can make is 166.
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On a school field trip, the bus travels 12 miles in 15 minutes. Find the speed of the bus in miles per hour. Use the equation d=rt, where d is distance, r is rate, and t is time
Given Information:
Distance = d = 12 miles
Time = t = 15 minutes
Required Information:
Speed of the bus = r = ?
Answer:
Speed of the bus = r = 48 mph
Step-by-step explanation:
We are given that a bus has traveled a distance of 12 miles in a time period of 15 minutes.
We are required to find the rate or speed at which the bus is traveling.
The relation is given by
[tex]rate = \frac{distance}{time}\\\\r = \frac{d}{t}[/tex]
Where r is the rate or speed, d is the distance and t is the time.
First let us convert time from minutes to hours
as we know 1 hour has 60 minutes,
15/60 = 0.25 hour
Now we will get the speed of the bus in miles per hour
[tex]r = \frac{d}{t}\\\\r = \frac{12}{0.25}\\\\r = 48 \: mph[/tex]
Therefore, the speed of the bus is 48 miles per hour.
A 2-column table with 6 rows. The first column is labeled x with entries negative 2, negative 1, 0, 1, 2, 3. The second column is labeled f of x with entries negative 8, negative 3, negative 3, 4, 1, 3.
What ordered pair is closest to a local minimum of the function, f(x)?
(–1, –3)
(0, –2)
(1, 4)
(2, 1)
Answer:
d
Step-by-step explanation:
ddddddd
Answer:
d
Step-by-step explanation:
What’s the answer to this
Find the height of a cone with a volume of 150 in^3 and a diameter of 20 in. Use 3.14 for π.
Volume = [tex]\frac{1}{3} \pi r^{2} h[/tex]
150 = [tex]\frac{1}{3}[/tex] x 3.14 x 10 x 10 x h
150 x 3 = 314 x h
h = 450/314
h = 1.43 inches
The requried height of the cone with a volume of 150 in² is given as 1.43 in.
What is volume?Volume is defined as the mass of the object per unit density while for geometry it is calculated as profile area multiplied by the length at which that profile is extruded.
here,
Volume of the cone = 1/3 πr²h
From the quesiton we have,
r = 20/2 = 10 in and volume = 150
150 = 1/3 × 3.14 × 10² × h
h = 1.433 in
Thus, the requried height of the cone with a volume of 150 in² is given as 1.43 in.
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If x^2+Mx+m is a perfect square trinomial, which equation must be true
Answer:
Um i think you forgot to give us the answer choices
any way here is my answer ( x + M /2 )↑ 2 + m − M↑ 2/4
Step-by-step explanation:
What i did was use the formula (b/2)↑2 to create a new term to complete the square
The "/" signifies a fraction
the "↑" signifies a exponent.
Hope it helps.
What is x??? Help please
Step-by-step explanation:
180(Vertically opposite angle)
Step-by-step explanation:
As you can see in the diagram, all of the angles come together and form a circle. Circles have a sum of 360°. We can use this information to answer the problem.
[tex]360 - (35 + 180)[/tex]
[tex]360-215[/tex]
[tex]145[/tex]
So, the measurement of x is 145°
find the selling price if the cost price is $560 and the gain is 15% on cost
Answer: 644
Step-by-step explanation:
plz follow my format
cp percent multiplayer sp
560 +15 115/100
sp = 560 *115/100= 644
Answer:
Given :
Cost Price = $560Gain % = 15%To Find :
Selling PriceUsing Formula :
[tex]{\star{\small{\underline{ \boxed{\sf{\purple{Selling \: Price = \dfrac{100 + Profit \%}{100} \times Cost \: Price}}}}}}}[/tex]
Solution :
Finding the selling price by substituting the values in the formula :
[tex]{\dashrightarrow{\small{\sf{Selling \: Price = \dfrac{100 + Profit \%}{100} \times Cost \: Price}}}}[/tex]
[tex]{\dashrightarrow{\small{\sf{Selling \: Price = \dfrac{100 + 15}{100} \times 560}}}}[/tex]
[tex]{\dashrightarrow{\small{\sf{Selling \: Price = \dfrac{115}{100} \times 560}}}}[/tex]
[tex]{\dashrightarrow{\small{\sf{Selling \: Price = \cancel{\dfrac{115}{100}} \times 560}}}}[/tex]
[tex]{\dashrightarrow{\small{\sf{Selling \: Price = 1.15 \times 560}}}}[/tex]
[tex]{\dashrightarrow{\small{\sf{Selling \: Price = \$644}}}}[/tex]
[tex]{\star{\small{\underline{\boxed{\sf{\red{Selling \: Price = \$644}}}}}}}[/tex]
Hence, the selling price is $644.Halla el área total y el volumen de un prisma triangular de altura 6cm y base un triángulos equilátero de lado 5cm. Redondea el resultado a dos cifras decimales
Para encontrar el
área total y el volumen del prisma triangular, primero calculamos el área de la base usando la fórmula para el área de un triángulo equilátero y luego calculamos el volumen y el área total usando esta área de base y la altura del prisma.
Para hallar el
área total
y el volumen de un prisma triangular con una altura de 6 cm y una base que es un triángulo equilátero de lado 5 cm, primero calculamos el área de la base. La fórmula para el área de un triángulo es A = (base
× height) / 2. En un triángulo equilátero, la altura se puede encontrar usando la fórmula height = (sqrt(3)/2)
× lado. Por lo tanto, la altura es height = (sqrt(3)/2)
× 5 cm.
Calculamos el área de la base (Abase) como Abase = (5 cm
× (sqrt(3)/2)
× 5 cm) / 2 = (5
× 5
× sqrt(3)) / 4, y luego redondeamos el resultado a dos cifras decimales para obtener el área de la base en centímetros cuadrados.
El volumen del prisma (V) es el producto del área de la base y la altura del prisma, por lo que V = Abase
× height. El área total del prisma es la suma del área de las tres caras rectangulares (Area laterales = perímetro de la base
× altura del prisma) más el doble del área de la base (Area total = Area laterales + 2
× Abase).
Para concluir, aplicamos los valores y calculamos tanto el
área total como el
volumen del prisma triangular, redondeando cada uno a dos cifras decimales.
Coach Curran's team has won 5 times and lost 2 times. He hopes that his team can keep this same ratio of wins to losses.
If the team had 10 losses, how many wins would they need to keep the record? Complete the table.
Answer:
25
Step-by-step explanation:
10 is 5 times the amount of 2 and by multiply 5 by 5 you would get 25
Answer:25
Step-by-step explanation:
Angle (theta) is in standard position. If (8,-15) is on the terminal ray of angle (theta), find the values of the trigonometric functions.
sin(theta)=
cos(theta)=
tan(theta)=
csc(theta)=
sec(theta)=
col(theta)=
What are the answers and how?
Answer:
[tex]\sin \theta =\frac{-15}{17}\\cos \theta =\frac{8}{17}\\\tan \theta =\frac{-15}{8}\\\csc \theta =\frac{-17}{15}\\\sec \theta =\frac{17}{8}\\\cot \theta =\frac{-8}{15}[/tex]
Step-by-step explanation:
Given: (8,-15) is on the terminal ray of angle
To find: All the trigonometric ratios
Solution:
Trigonometry is a branch of mathematics that explain relationship between the sides and angles of triangles.
If (x, y) lies on the terminal side of θ then [tex]r=\sqrt{x^2+y^2}[/tex]
[tex]r=\sqrt{(8)^2+(-15)^2}=\sqrt{64+225}=\sqrt{289}=17[/tex] units
[tex]\sin \theta =\frac{y}{r}=\frac{-15}{17}\\cos \theta =\frac{x}{r}=\frac{8}{17}\\\tan \theta =\frac{y}{x}=\frac{-15}{8}\\\csc \theta =\frac{1}{\sin \theta }=\frac{-17}{15}\\\sec \theta =\frac{1}{cos \theta}=\frac{17}{8}\\\cot \theta =\frac{1}{\tan \theta}=\frac{-8}{15}[/tex]
-3B+5=13
How do I solve for B
Answer:
b = -2 2/3
Step-by-step explanation:
Isolate the variable, b. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS.
First, subtract 5 from both sides:
-3b + 5 (-5) = 13 (-5)
-3b = 13 - 5
-3b = 8
Next, divide -3 from both sides:
(-3b)/-3 = (8)/-3
b = -8/3
b = -2 2/3
~
I need help with this!!!
Answer:
Attached the answer below!!
Step-by-step explanation:
Hope this Helps!!
In the net of a cylinder, one dimension of the rectangle is the same as the circumference of each circular base. Is this true or false?
Answer:
True.
Step-by-step explanation:
When we look at a cylinder, it has be observed that it has 3 parts or 3 shapes to it.
These 3 parts or shapes are referred to as the net of a cylinder.
This 3 parts include
a. A circle at the top
b. A circle at the bottom.
c. A rectangle.
The circle at the bottom gives us the base of the cylinder while the rectangle is curved when forming the cylinder and it is due to this that we have the curved surface area of the cylinder.
It is important to know that there is a relationship between the length of one of the edges of the rectangle and the circumference of the base of the cylinder such that, the length of one of the edges of the rectangle is equal to or equivalent to the circumference of each circular base.
A rectangular box has its length and width doubled and its height tripled. The volume of the new box will be
A. 12 times as large.
B. 7 times as large.
C. 6 times as large.
D. 5 times as large.
E. 4 times as large.
PLEASE HELP FIND THE VALUE OF X!!!I WILL MARK BRAINLIEST
Answer: x = ~6.928
Step-by-step explanation:
To find the value of X. we can use the sine of the angle:
sin (angle) = opposite / hypotenuse
sin (60) = opposite / 8
Solving for this, we get 6.928 for the opposite side.
A length of tape is 135 centimetres long. It is cut into two pieces. The first piece is twice
as long as the second piece. How long is the shorter of the two pieces of tape?
Answer:
45
Step-by-step explanation:
let the longer tape be x
shorter tape be y
given
x+y=135⇒equation 1
also given
2y=x⇒equation 2
subtituting eq2 in eq1
2y+y=135
3y=135
y=135/3=45
hope this helps
Final answer:
The length of the shorter piece of tape is 45 centimetres after cutting a 135 centimetre tape into one piece that is twice as long as the other.
Explanation:
A length of tape is 135 centimetres long and it is cut into two pieces where the first piece is twice as long as the second piece. To solve this, let the length of the shorter piece be x centimetres. Therefore, the longer piece would be 2x centimetres long.
The total length of the tape is the sum of the lengths of both pieces, which gives us the equation:
x + 2x = 135
Combining like terms, we get:
3x = 135
Dividing both sides by 3, we find:
x = 135 / 3
x = 45
Therefore, the length of the shorter piece of tape is 45 centimetres.
Which of the following graphs represents a one-to-one function?
On a coordinate plane, a function has two curves connected to a straight line. The first curve has a maximum of (negative 6, 4) and a minimum of (negative 4.5, negative 1). The second curve has a maximum of (negative 3.5, 2) and a minimum of (negative 2.5, 0.5). The straight line has a positive slope and starts at (negative 2, 1) and goes through (1, 2).
On a coordinate plane, a circle intersects the x=axis at (negative 2, 0) and (2, 0) and intercepts the y-axis at (0, 4) and (0, negative 4).
On a coordinate plane, a v-shaped graph is facing up. The vertex is at (0,0) and the function goes through (negative 4, 4) and (4, 4).
A coordinate plane has 7 points. The points are (negative 4, 1), (negative 3, 4), (negative 1, 3), (1, negative 3), (3, negative 4), (4, negative 2), (5, 3).
Answer:
The correct answer is the third graph
Step-by-step explanation:
Answer:
c
Step-by-step explanation:
There is a 2/3 probability that yo will have homework in math class. What is the probability you will NOT have homework?
Answer:
1/3
Step-by-step explanation:
3/3 = one whole one
3/3 - 2/3 = 1/3
Answer:
1/3.
Step-by-step explanation:
You will either have homework or not . These are the only possibilities, so:
Probability of not having homework = 1 - 2/3 = 1/3.
f(x) = –2x2 + 8x – 1.
Answer:
x=5/8
Step-by-step explanation:
0=2 times 2 + 8x - 1
hope this helps!
Answer:
Step-by-step explanation:
Medea found the missing measure using a proportion of the reduced trapezoid.
Analyze Medea’s work. In which step did Medea make an error?
In step 1, the corresponding parts are in different positions.
In step 2, the cross products should be multiplied instead of being equal.
In step 3, she should have added instead of multiplying to simplify.
In step 4, she needed to divide 2 to both sides to get x = 4.
Answer:
In step 1, the corresponding parts are in different positions.
Step-by-step explanation:
Answer:
the guy above me is correct
Step-by-step explanation:
Identify the a, b, and c from this equation. 2x^2−150=0
Answer:
a=2, b=0, c = -150
Step-by-step explanation:
The standard form of an equation is ax² + bx + c
In this case our equation is 2x² - 150
Here our a is 2, there is no b so b is 0, and c is -150
Points Q and P on the coordinate grid below show the positions of two midfield players of a soccer team:
Which statement best describes the relationship between the positions of the two midfield players? (1 point)
Group of answer choices
Q is P reflected across the x-axis; only the signs of the x-coordinates of P and Q are different.
Q is P reflected across the x-axis; only the signs of the y-coordinates of P and Q are different.
Q is P reflected across the y-axis; only the signs of the x-coordinates of P and Q are different.
Q is P reflected across the y-axis; only the signs of the y-coordinates of P and Q are different.
Answer:
answer is c but i think it is to late
Step-by-step explanation:
Answer:
c
Step-by-step explanation: