Answer:
2926.32 cubic inches
Step-by-step explanation:
Given the information:
A basketball with a diameter of 9.5 in=> its radius is: 9.5/2 = 4.75 in
As we know, the formula used to find the volume of the sphere is:
V =π [tex]\frac{4}{3} r^{3}[/tex]
=> the volume of the basketball is:
V = π [tex]\frac{4}{3} 4.75^{3}[/tex]
= 448.69 cubic inches
A cubic box with sides 15 inAs we know, the formula used to find the volume of a cube is:
V = [tex]a^{3}[/tex]
=> the volume of the box:
V = [tex]15^{3}[/tex] = 3375 cubic inches
Hence, The volume of foam there is needed to complete the box is the subtraction between the two volumes above:
= the volume of the box - the volume of the basketball
= 3375 - 448.69
= 2926.32 cubic inches
Which type of graph most readily shows the interquartile range for a data set?
bar graphs
O box plots
O dot plots
o histograms
Answer:
its box plots i got it correct and i got proof
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]
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.
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.
Can someone help me please
Answer:
initial value: 0rate of change: 200 m/minequation: H = 200TStep-by-step explanation:
The initial value is always the value that corresponds to the independent variable being 0. Here, that's the first entry in the table. The initial Height is 0, when Time is 0.
__
The rate of change can be figured by looking at the change in Height for a change of 1 in Time. Here, the height changes by 200 m for every 1 min change in time. The rate of change is 200 m/min.
__
The equation can be written in slope intercept form using the rate of change and initial value:
(dependent variable) = (rate of change)×(independent variable) + (initial value)
H = 200T + 0
H = 200T . . . . . . . . height in meters for time in minutes
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:
I need help with this!!!
Answer:
Attached the answer below!!
Step-by-step explanation:
Hope this Helps!!
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:
será que me pueden ayudar con las siguiente ecuaciones y con verificación por favor gracias son 8 ecuaciones 1) 3x+7=-5 2) 4=3x+1/4 3) -2/5+2x=4-3x 4) 5x+3/8=3/4 5) 3/5x+4=-3/6 6) 3x-4/9=-7/2-4x 7) 5/6x+5/3=5/4 8) 4/3=3x-1/2
Answer:
see below
Step-by-step explanation:
1. 2+5x=4x+7
5x-4x=7-2
x=5
2. 4x-5=1+3x
4x-3x=1+5
x=6
3. 8-5x-4=-6x+6
-5x+6x=6-8+4
x=2
4. 4x+8+2x=5x-1
6x-5x=-1-8
x= -9
The cable company takes an SRS (simple random sample) of 250 of the approximately 15,000 households who subscribe to them. They found that 75% of the sampled households watch sports on television at least once a month. The company is considering taking more samples like this. Suppose that it is actually 60% of their total subscribed households who watch those sports. Let p represent the proportion of a sample of 250 households that watch sports on television at least once a month. What are the mean and standard deviation of the sampling distribution of p?
The mean of the sampling distribution of p is 0.70 and the standard deviation is 0.029 .
To find the mean and standard deviation of the sampling distribution of p , we can use the properties of sampling distributions.
Given:
Sample size, n = 250
Proportion of subscribed households who watch sports, p = 0.70 (from the population)
Sample proportion of households who watch sports, [tex]\( \hat{p} = 0.75 \)[/tex](from the sample)
The mean of the sampling distribution of p is equal to the population proportion, which is p = 0.70 .
The standard deviation of the sampling distribution of p can be calculated using the formula:
[tex]\[ \sigma_{\hat{p}} = \sqrt{\frac{p(1-p)}{n}} \][/tex]
Substituting the given values:
[tex]\[ \sigma_{\hat{p}} = \sqrt{\frac{0.70(1-0.70)}{250}} \]\[ \sigma_{\hat{p}} = \sqrt{\frac{0.70 \times 0.30}{250}} \]\[ \sigma_{\hat{p}} = \sqrt{\frac{0.21}{250}} \]\[ \sigma_{\hat{p}} = \sqrt{0.00084} \]\[ \sigma_{\hat{p}} = 0.029 \][/tex]
So, the mean of the sampling distribution of p is 0.70 and the standard deviation is 0.029 .
Question
The cable company takes an SRS of 250 of the approximately 15,000 households who subscribe to them. They found that 75, percent of the sampled households watch sports on television at least once a month. The company is considering taking more samples like this. Suppose that it is actually 70, percent of their total subscribed households who watch those sports.
Let p represent the proportion of a sample of 250 households that watch sports on television at least once a month.
What are the mean and standard deviation of the sampling distribution of p?
Answer: This one on Khan Academy
Step-by-step explanation:
Determine the slope and y-intercept. 4x + y = -10
Answer:
Y intercept is -10
Step-by-step explanation:
Answer:
slope = -4
y-intercept = -10
Step-by-step explanation:
Isolate the variable, y. Note the equal sign, what you do to one side, you do to the other. Subtract 4x from both sides:
4x (-4x) + y = -10 (-4x)
y = -4x - 10
Note the slope intercept form: y = mx + b
y = y
m = slope = -4
x = x
b = y-intercept = -10
slope = -4
y-intercept = -10
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.
Find two numbers that multiply to -40 and add to -6.
Answer:
-10 and 4 are the answer
Step-by-step explanation:
-10 times 4 is -40 and
-10 plus 4 is -6
Hope this helps;)
Find the volume. *
7) height = 15 ft; radius = 10 ft
Volume =
Answer:
B
Step-by-step explanation:
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
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:
The lifespans of meerkats in a particular zoo are normally distributed. The average meerkat lives 10.4 years; the standard deviation is 1.9 years. Use the empirical rule (68-95-99.7%) to estimate the probability of a meerkat living between 12.3 and 14.2 years.
Answer: 13.5 % would be the answer
To estimate the probability of a meerkat living between 12.3 and 14.2 years, we can use the empirical rule (68-95-99.7%).
Explanation:The probability of a meerkat living between 12.3 and 14.2 years can be estimated using the empirical rule (68-95-99.7%).
First, calculate the z-scores for the given values using the formula: z = (x - μ) / σ, where x is the given value, μ is the mean, and σ is the standard deviation. For 12.3 years:z = (12.3 - 10.4) / 1.9 = 0.947For 14.2 years:z = (14.2 - 10.4) / 1.9 = 2.000Next, use a standard normal distribution table or a calculator to find the probabilities associated with these z-scores.
The probability of a meerkat living less than 12.3 years is the same as the probability of a z-score less than 0.947.The probability of a meerkat living less than or equal to 14.2 years is the same as the probability of a z-score less than or equal to 2.000.Finally, subtract the probability of the lower value from the probability of the higher value to find the probability of a meerkat living between 12.3 and 14.2 years.
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
.
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.
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°
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.
-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
~
What’s the answer to this
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.
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.
Danny read three books over winter break. The first book had 1,349 pages, the second book had 1,281 pages, and the third book had 1,195 pages. How many total pages did Danny read over the break?
Answer:
3825 pages
Step-by-step explanation:
Add the pages together:
1349+1281+1195 = 3825 pages
Danny read a total of 3,825 pages over winter break, which is well above 1,050 pages, indicating that it was very likely he had to read more than 1,050 pages.
Danny read three books over winter break. To determine the total number of pages Danny read, we need to add up the pages from each book. Here is the step-by-step explanation:
First book: 1,349 pages
Second book: 1,281 pages
Third book: 1,195 pages
Add these numbers together:
1,349 + 1,281 + 1,195 = 3,825 pages in total
Therefore, Danny read a total of 3,825 pages over the break. Clearly, this number is much greater than 1,050 pages, so without doing any calculations, we could confidently say that it's highly likely that Danny had to read more than 1,050 pages based on the individual page counts of each book provided.
In ADEF, DE = 25 cm, EF = 17 cm, and DF -- 20 cm
Which angle in the triangle is the smallest?
Answer:
angle FBE
Step-by-step explanation:
By using the formula, the shortest angle is facing the shortest side
so the shortest angle is angle FBE
In triangle ADEF, angle E is the smallest angle.
Explanation:In triangle ADEF, we are given that DE = 25 cm, EF = 17 cm, and DF = 20 cm. To determine which angle is the smallest, we need to compare the lengths of the sides opposite each angle. The smallest angle will have the smallest side opposite it. Let's compare the lengths:
Side DE is opposite angle D.
Side EF is opposite angle E.
Side DF is opposite angle F.
Since side EF (length 17 cm) is the smallest, angle E is the smallest angle in triangle ADEF.
Learn more about triangles here:https://brainly.com/question/37610445
#SPJ2
Srry but could you please answer the questions.
Answer:
23º
55º
Step-by-step explanation:
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.If the measure of arc CD is 120 degrees and the radius is 15 centimeters, what’s the length of arc CD?
A. 5pi cm
B. 10pi cm
C. 90pi cm
D. 45pi cm
Answer"
is it B) 10pi cm