Step-by-step explanation: We can write a ratio using the word "to", using a colon, or using a fraction bar.
Here, since we want our ratio in simplest form,
I would use a fraction bar.
Now, the problem asks us to compare
the number of boys to the number of girls.
We know that there are 12 boys
and we know that there are 15 girls.
So our ratio is 12/15.
However, this can be reduced to 4/5.
if every 500 points is 00.5 how many points will it take to get 5.00?
Answer:
5000
Step-by-step explanation:
500×2=1000
1000=1.00
1000×5=5.00
Answer:
The writer worries about being left out.
Step-by-step explanation:
A woman bought some goods for $240 and sold it and made a profit of 20%. how much did she sell it?
Answer:
$288
Step-by-step explanation:
10% of 240 is 240 / 10 = 24
24 X 2 = 48
240 + 48 = $288
Answer:
$288 ....brainliest appreciated pls
Step-by-step explanation:
20/100 × 240 = 48dollars
so...the selling price becomes 240+48 = $288
Pls help with this area question
Answer:
1
Step-by-step explanation:
The lateral area of a cylinder is ...
LA = 2πrh
The total area is that added to the areas of the two circular bases:
A = 2πr² +2πrh
We want the ratio of these to be 1/2:
LA/A = (2πrh)/(2πr² +2πrh) = h/(r+h) = 1/2 . . . . cancel factors of 2πr
Multiplying by 2(r+h) gives ...
2h = r+h
h = r . . . . . subtract h
So, the desired ratio is ...
h/r = h/h = 1
The ratio between height and radius is 1.
state which triangle congruence postulate explains that the triangles are congruent
Answer:
Step-by-step explanation:
Angle-angle-side since they have two similar angles and one common sideA small combination lock on a suitcase has 3 wheels, each labeled with the 10 digits from 0 to 9. If an opening combination is a particular sequence of 3 digits with no repeats, what is the probability of a person guessing the right combination?
Answer:
0.14% probability of a person guessing the right combination
Step-by-step explanation:
A probability is the number of desired outcomes divided by the number of total outcomes.
The order in which the numbers are selected is important. For example, 1,3,2 is a different combination than 3,1,2. So we use the permutations formula to solve this question.
Permutations formula:
The number of possible permutations of x elements from a set of n elements is given by the following formula:
[tex]P_{(n,x)} = \frac{n!}{(n-x)!}[/tex]
Desired outcomes:
One right combination, so [tex]P = 1[/tex]
Total outcomes:
10 numbers from a set of 3. So
[tex]P_{(10,3)} = \frac{10!}{(10-3)!} = 720[/tex]
What is the probability of a person guessing the right combination?
[tex]p = \frac{D}{T} = \frac{1}{720} = 0.0014[/tex]
0.14% probability of a person guessing the right combination
i have a question what is 2 plus 2 i will really live it if you respond
Hi there! Hopefully this helps!
------------------------------------------------------------------------------------------------
2 + 2 = 4.
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
You can simply find this answer by getting two of your fingers on your left hand, getting two MORE fingers of your right hand, and counting them. You will end up with 4.
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
You could multiply 2 two times, like this:
2 x 2 = 4.
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
You could split the numbers into parts and add them back together, like this:
2 = 1 + 1.
+
2 = 1 + 1.
=
1 + 1 + 1 + 1 = 4.
Answer:
4
Step-by-step explanation:
problem is if you dont have a fingers... you cant physically count 2 + 2
anyway... just add them using your brain = 2 + 2 makes 4
Is the area of this shape approximately 24 cm* ? If not give the correct area.
311
101
True
False
Answer:
19.2 feet square
Step-by-step explanation:
We khow that the area of an octagon is :
A= 1/2 * h * P where h is the apothem and p the perimeter
A= (1/2)*1.6*(3*8) = 19.2 feet squareA researcher records the amount of time (in minutes) that parent child pairs spend on social networking sites to test whether they show any generational differences. From the following findings in APA format, interpret these results by stating the research design used (repeated measures or matched pairs), the sample size, the decision, and the effect size. Parents spend significantly less time on social networking sites compared their children (MD = -42 minutes),t(29)=4.021,p<.05,d=0.49.(a) What research design was used? (Repeated measures or matched pairs?)(b) What is the sample size? (n = ?)
Answer:
(a) matched pair design
(b) n = 30
(c) Reject the null hypothesis.
Step-by-step explanation:
The complete question is:
A researcher records the amount of time (in minutes) that parent child pairs spend on social networking sites to test whether they show any generational differences. From the following findings in APA format, interpret these results by stating the research design used (repeated measures or matched pairs), the sample size, the decision, and the effect size. Parents spend significantly less time on social networking sites compared their children (MD = -42 minutes),t(29)=4.021,p<.05,d=0.49.(a) What research design was used? (Repeated measures or matched pairs?)(b) What is the sample size? (n = ?)(c) What is the decision? (Retain or reject the null?)
Solution:
(a)
It s provided that the researcher records the amount of time (in minutes) that parent-child pairs spend on social networking sites.
This implies that the data collected is in the form of paired data.
Thus, the research design that was used was matched pair design.
(b)
Consider the t-statistics provided:
t (29) = 4.021
The number 29 in the bracket is the degrees of freedom.
The degrees of freedom for a matched pair design is,
df = n - 1
Compute the value of n as follows:
df = n - 1
29 = n - 1
n = 29 + 1
n = 30
Thus, the sample size is n = 30.
(c)
The p-value of the test is:
p < 0.05
The p-value of the test is less than the 5% significance level.
This implies that the null hypothesis will be rejected at 5% significance level.
If 16 ounces of bulk rice costs $2.50, how much would 24 ounces cost?Also, could you tell me how much it costs per ounce?
Answer:
24 oz costs $3.75
The rice cost per oz is $0.16
Step-by-step explanation:
Step 1: Set up proportion
16/2.5 = 24/x
Step 2: Cross multiply
16x = 24(2.5)
Step 3: Solve
16x = 60
x = 15/4 or 3.75
I NEED HELP PLEASE, THANKS! :)
Answer:
Option D
Step-by-step explanation:
x is given to be 4 in this case, so all we would have to is plug it into the following function -
[tex]f ( x ) = \left \{ {{x - 2, x < 4 } \atop {x + 2, x \geq 4 }} \right[/tex]
Through substitution, you would receive the following function -
[tex]f ( x ) = \left \{ {{2, 4 < 4 } \atop 6, 4 \geq 4 }} \right[/tex]
Now the graph proves that this function is closer to 4, and thus proves that the y - coordinate is about 2 at the same time. However, the graph is cut off, so the limit doesn't exists.
Describe the transformations.
Can someone help ASAP. Please and thank you!!!
Hey there! :)
Answer:
≈ $41330
Step-by-step explanation:
Begin by finding the area of the racetrack by subtracting the area of the smaller circle from the larger one.
Calculate the areas of the circles using: A = πr²
Larger circle:
A = π145²
A = 21025π = 66018.5 ft²
Smaller circle:
A = π80²
A = 6400π = 20096 ft²
Subtract the smaller from the larger of the areas:
66018.5 - 20096 = 45922.5 ft²
Divide this by 100 to solve for the amount of asphalt needed:
45922.5 / 100 = 459.225.
Since asphalt costs $90 dollars per 100 ft², then:
459.225 · 90 = $ 41330.25 ≈ $41330 rounded.
Which of the following shows the intersection of the sets? {1, 2, 3, 4, 5} {2, 4, 6, 8, 10}
Answer:
The intersection of sets are the common elements. In this case it is {2, 4}.
Answer:
{2,4}
Step-by-step explanation:
The intersection is what the two sets have in common
{1, 2, 3, 4, 5}∩ {2, 4, 6, 8, 10}
= {2,4}
A common assumption in modeling drug assimilation is that the blood volume in a person is a single compartment that behaves like a stirred tank. Suppose that the blood volume is a four-liter tank that initially has a zero concentration of a particular drug. At time t 0, an intravenous line is inserted into a vein (into the tank) that carries a drug solution with a concentration of 500 mg/L. The inflow rate is 0.06 L/min. Assume the drug is quickly mixed thoroughly in the blood and that the volume of blood remains constant.
a) Write an initial value problem that models the mass of the drug in the blood for t20.
b) Solve the initial value problem and graph both the mass of the drug and the concentration of the drug.
c) What is the steady-state mass of the drug in the blood?
d) After how many minutes does the drug mass reach 90% of its stead-state level?
Answer:
a) [tex]\mathbf{\dfrac{dx}{dt} = 30 - 0.015 x}[/tex]
b) [tex]\mathbf{x = 2000 - 2000e^{-0.015t}}[/tex]
c) the steady state mass of the drug is 2000 mg
d) t ≅ 153.51 minutes
Step-by-step explanation:
From the given information;
At time t= 0
an intravenous line is inserted into a vein (into the tank) that carries a drug solution with a concentration of 500
The inflow rate is 0.06 L/min.
Assume the drug is quickly mixed thoroughly in the blood and that the volume of blood remains constant.
The objective of the question is to calculate the following :
a) Write an initial value problem that models the mass of the drug in the blood for t ≥ 0.
From above information given :
[tex]Rate _{(in)}= 500 \ mg/L \times 0.06 \ L/min = 30 mg/min[/tex]
[tex]Rate _{(out)}=\dfrac{x}{4} \ mg/L \times 0.06 \ L/min = 0.015x \ mg/min[/tex]
Therefore;
[tex]\dfrac{dx}{dt} = Rate_{(in)} - Rate_{(out)}[/tex]
with respect to x(0) = 0
[tex]\mathbf{\dfrac{dx}{dt} = 30 - 0.015 x}[/tex]
b) Solve the initial value problem and graph both the mass of the drug and the concentration of the drug.
[tex]\dfrac{dx}{dt} = -0.015(x - 2000)[/tex]
[tex]\dfrac{dx}{(x - 2000)} = -0.015 \times dt[/tex]
By Using Integration Method:
[tex]ln(x - 2000) = -0.015t + C[/tex]
[tex]x -2000 = Ce^{(-0.015t)[/tex]
[tex]x = 2000 + Ce^{(-0.015t)}[/tex]
However; if x(0) = 0 ;
Then
C = -2000
Therefore
[tex]\mathbf{x = 2000 - 2000e^{-0.015t}}[/tex]
c) What is the steady-state mass of the drug in the blood?
the steady-state mass of the drug in the blood when t = infinity
[tex]\mathbf{x = 2000 - 2000e^{-0.015 \times \infty }}[/tex]
x = 2000 - 0
x = 2000
Thus; the steady state mass of the drug is 2000 mg
d) After how many minutes does the drug mass reach 90% of its stead-state level?
After 90% of its steady state level; the mas of the drug is 90% × 2000
= 0.9 × 2000
= 1800
Hence;
[tex]\mathbf{1800 = 2000 - 2000e^{(-0.015t)}}[/tex]
[tex]0.1 = e^{(-0.015t)[/tex]
[tex]ln(0.1) = -0.015t[/tex]
[tex]t = -\dfrac{In(0.1)}{0.015}[/tex]
t = 153.5056729
t ≅ 153.51 minutes
Where does the normal line to the paraboloid z = x2 + y2 at the point (1, 1, 2) intersect the paraboloid a second time?
Answer:
the intersection point is ( -5/4, -5/4, -9/8)
Step-by-step explanation:
F(x,y,z) = x² +y² -z= 0
Then find differential of each terms then we have
∀f(x)=2x
∀f(y)=2y
∀f(z)=-1
The partial differential which is the director vector is at F(x,y,z)= (1,1,2)
Vf(1,1,2) = (2,2,-1)
But the given point is ( 1.1,2)
Then the parametric equation of normal line will be
x= 1+2t
y= 1+2t
z= 2 -t
The parametric equation can be formed as
(1+2t)² + (1+2t)² - (2-t)= 0
If we expand the expression above we have,
2(1+4t+4t²) - 2+t= 0
0= 8t² + 9t
t= 0 or t= -9/8
Substitute the value of t into the parametric equation above
At t=0
x= 1+2t; x= 1+2(0)=1
y= 1+2t; y= 1+2(0)=1
z=2 -t ; z= 2-(0)= 2
At =0 , we have (1,1,2)
At t= -9/8
x= 1+2t; x= 1+2(-9/8)=-5/4
y= 1+2t; y= 1+2(-9/8)=-5/4
z=2 -t ; z= 2-(-9/8)= -9/8
Therefore, the intersection point is ( -5/4, -5/4, -9/8)
The normal intersects the paraboloid at [tex](-\frac{5}{4},-\frac{5}{4},\frac{25}{8} )[/tex]
Paraboloid:A surface all of whose intersections by planes are either parabolas and ellipses or parabolas and hyperbolas.
Given function is,
[tex]z = x^2 + y^2[/tex]
We can write the given function as,
[tex]F(x,y,z)=x^2+y^2-z[/tex]
Compute the gradient [tex]F[/tex] by using the formula,
[tex]\nabla F(x,y,z)=\left\langle 2x,2y,-1\right\rangle[/tex]
At (1,1,2) we get,
[tex]\nabla F(x,y,z)=\left\langle 2,2,-1\right\rangle[/tex]
The equation of the tangent plane at (1,1,2) is,
[tex]2(x-1)+2(y-1)-(z-2)=0\\2x+2y-z-2=0\\\frac{x-1}{2}=\frac{y-1}{2}=\frac{z-2}{-1}=t\\ x=2t+1,y=2t+1,z=-t+2[/tex]
Replace the values of [tex]x,y,z[/tex] in [tex]z = x^2 + y^2[/tex] and then solve for [tex]t[/tex] then,
[tex]-t+2=(2t+1)^2+(2t+1)^2\\8t^2+9t=0\\t=0,-\frac{9}{8}[/tex]
Substituting the value into the parametric equations,
[tex]x=2(-\frac{9}{8} )+1,y=2(-\frac{9}{8} )+1,\ and \ z=-(-\frac{9}{8} )+2\\x=-\frac{5}{4}, \ y= -\frac{5}{4} ,z=\frac{25}{8}[/tex]
Therefore, the normal intersects the paraboloid at [tex](-\frac{5}{4},-\frac{5}{4},\frac{25}{8} )[/tex]
Learn more about the topics paraboloid:
https://brainly.com/question/17593461
I need help on this one
Find the area of D ABCD if mZA = 650, AB = 14, BC = 12.
Answer:
152.3
Step-by-step explanation:
area of a parralellogram is L×B
since a degree is given
it will make it
sin 65×14×12
sin 65=0.9063
so 0.9063×14×12
=152.3
Help me please! I need an answer!
Answer: [tex]\bold{\dfrac{b_1}{b_2}=\dfrac{3}{2}}[/tex]
Step-by-step explanation:
Inversely proportional means a x b = k --> b = k/a
Given that a₁ = 2 --> b₁ = k/2
Given that a₂ = 3 --> b₂ = k/3
[tex]\dfrac{b_1}{b_2}=\dfrac{\frac{k}{2}}{\frac{k}{3}}=\large\boxed{\dfrac{3}{2}}[/tex]
The three-dimensional figure below is a cylinder with a hole in the shape of a rectangular prism going through the center of it.
The radius is 10 yards. Find the volume of the solid in cubic yards, rounded to the nearest ten. Use 3.14 for pie.
A. 1,980
B. 1,788
C. 1,034
D. 1,884
Answer:
B. 1788
Step-by-step explanation:
The volume of solid shaped is expressed in cubic yards. The sides of the shape are multiplied or powered as 3 for the volume determination. Volume is the total space covered by the object. It includes height, length, width. The three dimensional objects volume is found by
length * height * width
The volume for current object is :
12 * 28 * 5
= 1788 cubic yards.
Answer: 1778
Step-by-step explanation:
because Ik I had the question
Which equation represents the statement below?
Thirteen less than a number is forty-two.
Select one:
a. n – 13 = 42
b. 42 – 13 = n
c. 13 – n = 42
d. 13 – 42 = n
The answer is option A
Step-by-step explanation:
Thirteen less than a number is written as
n - 13
Equate it to 42
We have
n - 13 = 42
Hope this helps you
Translate and solve.
17. The absolute value of three times a number, n, is greater than 15.
Answer:
3n>15
Step-by-step explanation:
So basically, this three times a number, 3n, is greater than 15. So, this is 3n>15.
In the diagram above
Answer:
140
Step-by-step explanation:
First you have to solve for x
20x + 60 = 30x + 20
so you would subtract 20x from both sides
60 = 10x + 20
then subtract 20 from both sides
40 = 10x
then divide both sides by 10
4 = x
then you would put 4 in for x in the equation for angle 1
20(4) + 60
80 + 60
140
Answer:
angle 1=20(4)+60=140 degrees
Step-by-step explanation:
theory : If two parallel lines are cut by a transversal, the corresponding angles are congruent.
so angle 1 and angle 3 are equal:
20x+60=30x+20
60-20=30x-20x
40=10x
x=40/10=4
angle 1 = 20(x)+60
angle 1=20(4)+60=140 degrees
There are 7 students in a class: 5 boys and 2 girls.
If the teacher picks a group of 4 at random, what is the probability that everyone in the group is a boy?
Answer:
4/7
Step-by-step explanation:
5+2=7
7 children
4 boys Out of 7 children
Answer:1/7
Step-by-step explanation:
Khan academy
Some friends tell you they paid 25,404 down on a new house and are to pay $843 per month for 30 years. If interest is 4.5% compounded monthly, what was the selling price of the house?
How much interest will they pay in 30 years?
Answer:
Selling price = $190003.206 and total interest paid is $135640.794
Step-by-step explanation:
The down payment of house = $25404
Monthly payment = $834 per month.
Total number of years = 30 years = 30*12 = 360 months.
Interest rate compounded monthly = 4.5 % * 1/12 = 0.375% per month or 0.00375.
Now we have to calculate the selling price of house and total interest paid.
Loan amount = Present value of monthly payments.
[tex]\text{Loan amount} = \frac{ Monthly \ payment \times [1- (1+r)^{-n}]}{r} \\= \frac{ 834 \times [1- (1+ 0.00375)^{-360}]}{0.00375} \\= 164599.206[/tex]
Selling price of house = 25404 + 164599.206 = 190003.206
Interest amount = total amount of installment – loan amount
Interest amount = 834*360 – 164599.206 = 135640.794 dollars.
g What sample size should the managers use to ensure their 5% level 2-sided test has power of at least 0.9 to detect a true mean of 33 ounces (assuming σ = 4)?
Answer:
The sample size 'n' = 76
Step-by-step explanation:
Step(i):-
Given mean of the Population = 33 ounces
Given standard deviation of the Population = 4 ounces
Given the margin of error ( M.E) = 0.9
The Margin of error is determined by
[tex]M.E = Z_{0.05} \frac{S.D}{\sqrt{n} }[/tex]
Level of significance = 0.05
Z₀.₀₅ = 1.96
Step(ii):-
The Margin of error is
[tex]M.E = Z_{0.05} \frac{S.D}{\sqrt{n} }[/tex]
[tex]0.9 = 1.96 \frac{4}{\sqrt{n} }[/tex]
Cross multiplication , we get
[tex]\sqrt{n} = \frac{4 X 1.96}{0.9 }[/tex]
√n = 8.711
Squaring on both sides ,we get
n = 75.88≅ 76
Conclusion:-
The sample size 'n' = 76
Which of the following descriptions represent the transformation shown in the image? part 1
Answer: b) 180° rotation & reflection over x-axis
Step-by-step explanation:
Rotation of 180° changes the signs of both x and y.
(x, y) → (-x, -y)
Reflection over the x-axis changes the sign of y.
(-x, -y) → (-x, y)
(x, y) (-x, y)
(0, 1) → (0, 1)
(1, -1) → (-1, -1)
(5, 3) → (-5, 3)
Find the area of a triangle whose two sides are 12 inches and 14 inches long, and has a perimeter of 34 inches.
Answer:
[tex]\huge\boxed{A=3\sqrt{255}\ in^2\approx47.91\ in^2}[/tex]
Step-by-step explanation:
We have two sides
[tex]a=12in;\ b=14in[/tex]
and the preimeter
[tex]P=34in[/tex]
We can calculate the length of the third side:
[tex]c=P-a-b[/tex]
substitute
[tex]c=34-12-14=8\ (in)[/tex]
Use the Heron's formula:
[tex]A=\sqrt{p(p-a)(p-b)(p-c)[/tex]
where
[tex]p=\dfrac{P}{2}[/tex]
substitute:
[tex]p=\dfrac{34}{2}=17\ (in)\\\\A=\sqrt{17(17-12)(17-14)(17-8)}=\sqrt{(17)(5)(3)(9)}\\\\=\sqrt{9}\cdot\sqrt{(17)(5)(3)}=3\sqrt{255}\ (in^2)\approx47.91\ (in^2)[/tex]
Evaluate the integral by interpreting it in terms of areas. In other words, draw a picture of the region the integral represents, and find the area using geometry. [0,1] |9x-3|
Answer:
2.5
Step-by-step explanation:
The integral of a function is the area under the curve.
Graph |9x−3|. The result is two lines. The areas under these lines are triangles. The first triangle has a base of ⅓, and a height of 3. The second triangle has a base of ⅔, and a height of 6.
The total area is therefore:
A = ½ (⅓) (3) + ½ (⅔) (6)
A = ½ + 2
A = 2.5
Which shape could be thought of as being created by stacking congruent polygons?
cone
rectangular prism
square pyramid
triangular pyramid
A rectangular prism is thought of as being created by stacking congruent polygons.
What is rectangular prism?A solid (3-dimensional) object which has six faces that are rectangles. It has the same cross-section along a length, which makes it a prism.
When the two geometric figures are called congruent?Two geometric figures are said to be congruent, or to be in the relation of congruence, if it is possible to superpose one of them on the other so that they coincide throughout.
What is stacking of congruent figures?Stacking congruent figures means arranging the congruent figures on the top of the other until it become a large pile.
According to the given question.
We have to stack the congruent polygons.
As we know that stacking up means to keep increasing in quantity until we get a large pile.
Since, when we piled up of stack the congruent polygons we will get a prism.
For example when we stack congruent squares we will get cube or we can say a rectangular prism.
If we stack congruent octagons we will get an octagon prism.
Hence, a rectangular prism is thought of as being created by stacking congruent polygons.
Find out more information about stacking of congruent figures here:
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What does the denominator of this rational expression represent? Jessica is organizing a guided tour of the rain forest. The average profit per person that the touring company makes is given by the rational expression , where is the number of people going on the tour.
Complete Question
Jessica is organizing a guided tour of the rain forest. The average profit per person that the touring company makes is given by the rational expression 18x+35/x, where x is the number of people going on the tour. What does the denominator of this rational expression represents?
Answer:
Number of people going on the tour
Step-by-step explanation:
Given that the average profit per person [tex]=\dfrac{18x+35}{x}[/tex]
[tex]\text{Average}=\dfrac{\text{Sum of Total Items}}{\text{Number of Items}}[/tex]
Therefore:
[tex]\text{Average Profit}=\dfrac{(18x+35)\text{ profit}}{x\text{ persons}}[/tex]
The denominator, x represents the number of people going on the tour.
Answer:
btw 35/x represents epresents a fixed cost, like a cover charge for the tour, that is not affected by the number of people attending the tour. So, the quotient 35/x represents the profit that the tour company makes from the cover charge per person.
Step-by-step explanation:
PLATO
Use the graph of y = ex to evaluate the expression e1.5. Round the solution to the nearest tenth if necessary.
Answer:
4.5
Step-by-step explanation:
The graph of y = e^x shows the value of e^1.5 to be about 4.5.