Answer:
22/100 or 0.22 or 22%
Step-by-step explanation:
Out of the 50 times you drew a marble, you got 11 blue ones.
11/50
We can divide 11/50 and get 0.22, which is the same as 22/100 or 22%.
Hope this helps! ;-)
The required probability is,
[tex]P(B)=\frac{11}{50} [/tex]
The total number f marbles are 50
Now, the formula for finding the experimental probability is,
P(B)=Possible outcomes/ Number of outcomes
[tex]P(B)=\frac{11}{50} [/tex]
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The points J(-1,-9) and K(5,1) are endpoints of a diameter of circle S. Which equation represents circle S?
Answer:
(x -2)² +(y +4)² = 34
Step-by-step explanation:
The center of the circle is the midpoint of the line segment:
S = (J +K)/2 = ((-1, -9) +(5, 1))/2 = (4, -8)/2 = (2, -4)
The radius of the circle is the distance between the center and either end point. We want the square of the radius for our formula.
r² = (5 -2)² +(1 -(-4))² = 9 +25 = 34
The equation of a circle with center (h, k) and radius r is ...
(x -h)² +(y -k)² = r²
Using the numbers we have found, the equation for circle S is ...
(x -2)² +(y +4)² = 34
Answer:
(x-2)² + (y+4)²=34
Step-by-step explanation:
I got this answer right on my test :)
Henrique drew and labeled the net shown. He also labeled the areas of the left and right triangular sides.
A net has a rectangle at the center and 4 triangles on the sides. The rectangle has a length of 10 inches and height of 4 inches. 2 triangles have a base of 10 inches and a height of 5 inches. The other 2 triangles have an area of 13.6 inches squared.
Use Henrique’s work and finish finding the areas of the faces.
What is the surface area of the rectangular pyramid?
in.2
Answer: [tex]SA=117.2\ in^2[/tex]
Step-by-step explanation:
You need to remember the following:
1. The area of a rectangle can be calculated with the following formula:
[tex]A_r=lw[/tex]
Where "l" is the length and "w" is the width.
2. The area of a triangle can be calculated with the following formula:
[tex]A_t=\frac{bh}{2}[/tex]
Where "b" is the base and "h" is the height.
Use those formulas to find the area of each face.
Area of the rectangle
[tex]A_r=(10\ in)(4\ in)=40\ in^2[/tex]
Area of two triangles
There are two equal triangles. Each one has a base of 10 inches and a height of 5 inches. Then, their areas are equal:
[tex]A_{t1}=A_{t2}=\frac{(10\ in)(5\ in)}{2}=25\ in^2[/tex]
The areas of the other two triangles (which are equal) are:
[tex]A_{t3}=A_{t4}=13.6\ in^2[/tex]
Adding the areas of the faces, you get that the surface area of the rectangular pyramid is:
[tex]SA=40\ in^2+25\ in^2+25\ in^2+13.6\ in^2+13.6\ in^2\\\\SA=117.2\ in^2[/tex]
Answer:
117.2 is the answer
Mr. Padilla used similar triangles to make a design. Which statement about the triangles in the design must be true?
Answer:
They have corresponding angles that are congruent.
Step-by-step explanation:
The options of the question in the attached figure
we know that
If two figures are similar, then the ratio of its corresponding sides is proportional and its corresponding angles are congruent
therefore
The statement that must be true is
They have corresponding angles that are congruent.
if 2/3 = a/15, then a =
Step-by-step explanation:
Given
[tex] \frac{2}{3} = \frac{a}{15} [/tex]
Cross multiply ✖
3a = 2 * 15
3a = 30
a = 30/ 3
therefore a = 10
Hope it will help you. :)
Answer:
10
Step-by-step explanation:
because how many times does 3 enter into 15.
it is 5 as 5×3=15 so is that is our known knowledge then doing this to unknown knowledge we will get the answer. 5×2= 10 so we conclude 10/15 = a/15
Last week, Kip went to the fair. It costs $4.34 to enter the fair and $0.75 per ticket. If Kip spent $18.59 at the fair, how many tickets did he buy?
Answer:
He bought 19 tickets
Step-by-step explanation:
first you subtract $4.35 from $18.59 and the answer would be $14.25
then u take $14.25 and divide it by $0.75 and the answer from that would be 19
then the 19 would be the tickets
your done
Four equivalent forms of a quadratic function are given. Which form displays the zeros of function h?
A.) h(x) = -4(x2 − 4)
B.) h(x) = -4x2 + 16
C.) h(x) = -4(x − 2)(x + 2)
D.) h(x) = -2(2x2 − 8)
The Answer is : C.) h(x) = -4(x − 2)(x + 2)
Final answer:
The quadratic function in form C displays the zeros of the function directly by being in factored form, showing x = 2 and x = -2 as the zeros.
Explanation:
Form C. h(x) = -4(x - 2)(x + 2) displays the zeros of function h because it is in factored form, making it easy to identify the zeros directly as x = 2 and x = -2.
By setting h(x) = 0 in form C, the solution can be seen as:
-4(x - 2)(x + 2) = 0
x = 2, x = -2
Therefore, form C, h(x) = -4(x - 2)(x + 2), directly shows the zeros of the function h to be x = 2 and x = -2.
En el experimento Extraer una carta de una baraja española se consideran estos sucesos: A= 《Salir as 》 B= 《salir bastos 》 Calcula A U B y A interseccion B. ¿Son compatibles A y B ?
Answer:
They are compatible
Step-by-step explanation:
The first thing is to say that an "ace" and that it is a "coarse"
"ace" is card number 1. Group A
"coarse" is a type of the deck, found from number 1 to card 13. Group B
Thus:
Calculate A U B:
1 to 13 + 1 of the other types of cards in the deck.
At intersection B:
1 of "coarse"
Therefore, if group A is compatible with group B
What is the slope between the points (4,–1) and (–4,3)?
The formula for slope is [tex]\frac{rise}{run} = \frac{y2-y1}{x2-x1}[/tex].
Subtract y1 from y2. (y1= -1, y2 = 3)
3 - -1 = 4
Now subtract x1 from x2. (x1 = 4, x2 = -4)
-4 -4 = -8
Divide the difference between the y coordinates by the difference between the x coordinates.
[tex]\frac{4}{-8}[/tex] or 4 ÷ -8 = -0.5
Answer:The slope between the two points is -0.5.
Hope this helpsss
The slope between the points (4, –1) and (–4, 3) is calculated using the slope formula and is found to be –0.5.
Explanation:The slope of the line passing through the points (4,–1) and (–4,3) is calculated using the slope formula m = (y2 - y1) / (x2 - x1), where (x1, y1) and (x2, y2) are the coordinates of the two points. For the given points:
y2 = 3y1 = –1x2 = –4x1 = 4Plugging these into the formula gives:
m = (3 - (–1)) / (–4 - 4) = 4 / –8 = –0.5.
The slope between the points (4, –1) and (–4, 3) is –0.5.
Krutika, David and Mark share some sweets in the ratio 3:1:5. Krutika gets 33 sweets. How many more sweets does mark get over david?
Answer:
44
Step-by-step explanation:
33÷3 = 11
11×1 =11(David)
11×5=55(Mark)
55-11=44
For this question please tell me if I'm right or wrong. If I'm wrong please correct me.
Please use the following image below in order to answer the question correctly:
Tell whether JL is best described as a radius, chord, diameter, secant, or tangent of ⊙P.
What can JL be best described as?
Please show all the work on how you got your answer. ( I'm not asking for an explanation. All I want is the work shown so I can understand how you got your answer)
Answer:
Your Wrong (Tangent)
Step-by-step explanation:
A tangent is a straight line that touches the curve, like the curve part of the circle. I posted an image so you could see an example.
Answer:
E) tangent
Step-by-step explanation:
JKL is a straight line which touches the circle at one point, so it's a tangent
What is segment A.B. to circle a
We need to see the circle
Jon ate too many holiday cookies and gained 2.2, point, 2 kilograms in December. Then he went on a diet and lost 1.5, point, 5 kilograms in January. Then he lost another 3.7, point, 7 kilograms in February. Jon wants to know what the total change in his weight was over these three months.
Which of the following equations matches the situation above?
Choose 1 answer:
(Choice A)
2.2+(-1.5)+(-3.7) =
(Choice B)
2.2+1.5-3.7 =
(Choice C)
None of the above
Answer:
-2.9 kg. (loss)
Step-by-step explanation:
Total change in weight = 2.3 - 1.5 - 3.7
Total change in weight = -2.9 kg.
Step-by-step explanation:
The correct equation that represents the total change in Jon's weight over the three months is (Choice A) 2.2 + (-1.55) + (-3.77), which equals a total weight loss of 3.12 kilograms.
The total change in Jon's weight over the three months can be determined by adding his weight gain and subtracting his weight loss for each month. In December, Jon gained 2.2 kilograms, represented as "+2.2". Then he went on a diet and lost 1.55 kilograms in January, represented as "-1.55" and lost another 3.77 kilograms in February, represented as "-3.77".
The correct equation that matches this situation is (Choice A) 2.2 + (-1.55) + (-3.77). This equation takes into account the weight gain and losses, with losses represented by negative numbers. When we perform the calculation, we get:
2.2 - 1.55 - 3.77 = -3.12 kilograms
This means that Jon's total change in weight over the three months is a loss of 3.12 kilograms.
Liang bought a basket of apples to make pies for her friends. The basket of apples weighed ppp pounds. Before she had time to make the pies, she ate 333 pounds of apples. There are 171717 pounds of apples left to make pies.
Answer:
The equation to describe the situation is [tex]p-3=17.[/tex]
And, the total weight of the basket of apples was 20 pounds.
Step-by-step explanation:
The question is incomplete so, the complete question is below:
Liang bought a basket of apples to make pies for her friends. The basket of apples weighed p pounds. Before she had time to make the pies, she ate 3 pounds of apples. There are 17 pounds of apples left to make pies. Write an equation to describe this situation. What was the total weight of the basket of apples?
Now, to write an equation to describe the situation. And to find the total weight of the basket of apples.
So, the basket of apples total weighed = [tex]p\ pounds.[/tex]
Liang ate apples weighed = 3 pounds.
And the apples left for the pies weighed = 17 pounds.
Now, to write an equation describing the situation:
[tex]p-3=17.[/tex]
Thus, the equation is [tex]p-3=17.[/tex]
Now, to get the total weight of the basket of apples:
[tex]p-3=17\\\\Adding\ both\ sides\ by\ 3\ we\ get:\\\\p=20[/tex]
Hence, the basket of apples total weighed = 20 pounds.
Therefore, the equation to describe the situation is [tex]p-3=17.[/tex]
And, the total weight of the basket of apples was 20 pounds.
A coin tosses 100 times 52 heads and 48 tail what is the probability of flipping a tail on the coin
Answer:
The answer is 48/100 or 12/25
Step-by-step explanation:
Since there is 48 tails and 100 times flipped the answer would be 48/100 and if you ask for the probability of flipping the heads that would be quite the same and its 52/100. So the ANSWER IS 12/25.
The experimental probability of flipping a tail on the coin is:
P = 0.48
How to get the probability?
When we do an experiment N times, the probability of a given outcome is equal to the quotient between the number of times that the outcome of the experiment was the desired one, and the total number of times that we performed the experiment.
In this case, we want to find the probability of flipping a tail.
The experiment is performed 100 times.
48 of these times, the outcome is "tails".
So the experimental probability is:
P = 48/100 = 0.48
If you want to learn more about probability, you can read:
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Un bidon de legoa contiene 4/5 de su capacidad,el dia de hoy se ha consumido 1/3 de la legia que contenia.Que fraccion de la capacidad del recipiente se ha consumido?
For this case we have the following question:
A disinfectant drum contains 4/5 of its capacity, today 1/3 of the disinfectant it contained has been consumed. What fraction of the capacity of the container has been consumed?
So, we have:
Initial disinfectant content: [tex]\frac {4} {5}[/tex] of its capacity
Consuming[tex]\frac {1} {3}[/tex]of disinfectant means: [tex]\frac {1} {3} * \frac {4} {5} = \frac {4} {15}[/tex]
Thus,[tex]\frac {4} {15}[/tex]of its capacity was consumed.
Answer:
[tex]\frac {4} {15}[/tex] of its capacity was consumed.
A birthday cake is in the shape of 2 cylinders, one smaller one on top of another larger one. The radius of the bottom layer of cake is (3x 2) and the radius of the top layer of cake is (x 4) . The height for each layer is 6 cm. Determine a simplified expression for the difference in volume between the cake layers.
Answer: 6π(8x^2 + 4x - 12)
Step-by-step explanation:
Given that the radius of the bottom layer of cake is (3x + 2) and the radius of the top layer of cake is (x + 4) . The height for each layer is 6 cm
Volume of a cylinder = πr^2h
Small cylinder
Volume v = π( x + 4 )^2 × 6
v = 6π( x^2 + 8x + 16)
Big cylinder
Volume V = 6π( 3x + 2 )^2
V = 6π( 9x^2 + 12x + 4)
Expression for the difference in volume between the cake layers will be V - v
6π( 9x^2 +12x +4) - 6π( x^2 + 8x +16)
6π(8x^2 + 4x - 12)
Find the area. Answer without units.
Answer:
28
3.5*8
Step-by-step explanation:
Base multiply height
We are standing on the top of a 960 foot tall building and launch a small object upward. The object's vertical altitude, measured in feet, after t seconds is h ( t ) = − 16 t 2 + 64 t + 960 . What is the highest altitude that the object reaches?
Answer:2 seconds s(2) max ht = 264 ft two answer pick one at least
Step-by-step explanation:
..A person standing cloes to the edge on the top of a 200-foot building throws a baseball ... t = -b/2a t = -64/-32
The highest altitude the object reaches is 1024 feet.
What is an equation?An equation is a mathematical statement that is made up of two expressions connected by an equal sign.
Example:
2x + 4 = 9 is an equation.
We have,
h(t) = -16t² + 64t + 960
Now,
h'(t) = -16 x 2t + 64 = -32t + 64
h''(t) = -32
This means,
h(t) has a maximum altitude at h'(t) = 0
Now,
h'(t) = 0
-32t + 64 = 0
-32t = -64
t = 2
Now,
h(2) = -16 x 2² + 64 x 2 + 960
h(2) = -16 x 4 + 128 + 960
h(2) = -64 + 128 + 960
h(2) = 1024 feet
Thus,
The highest altitude is 1024 feet.
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A collection of 8 geodes has a mean weight of 14 ounces. A different collection of 12 geodes has a mean weight of 9 ounces. What is the mean weight of the 20 geodes? The mean weight is ounces.
Answer:
The mean weight of the 20 geodes is 11 ounce.
Step-by-step explanation:
Mean weight:
Mean weight is actually the average weight. Add up all weight, then divides by the number objects.
[tex]\textrm{Mean weight}=\frac{\textrm{Total weight}}{\textrm{Total number of objects}}[/tex]
Given that,
A collection of 8 geodes has mean weight of 14 ounce.
Then the total weight of 8 geodes is =(8×14) ounce
=112 ounce
A different collection of 12 geodes has a mean weight of 9 ounce.
Then the total weight of 8 geodes is =(12×9) ounce
=108 ounce
Therefore total weight of (12+8) =20 geodes is = (112+108) ounce
=220 ounce
The average mean of 20 geodes is
[tex]=\frac{220}{20}[/tex]
=11 ounce.
The mean weight of the 20 geodes is 11 ounce.
Answer: The mean weight of the 20 geodes is 11 ounce.
Mean weight means total weight divided by total number of objects.
Given that:
A collection of 8 geodes has mean weight of 14 ounce.
Then the total weight of 8 geodes is = (8×14) ounce = 112 ounce
A different collection of 12 geodes has a mean weight of 9 ounce.
Then the total weight of 8 geodes is = (12×9) ounce = 108 ounce
Therefore total weight of (12+8) =20 geodes is = (112+108) ounce =220 ounce
The average mean of 20 geodes is = [tex]\frac{220}{20}[/tex] =11 ounce.
Hence, the mean weight of the 20 geodes is 11 ounce.
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Marcia biked 600 meters on friday. On saturday, she biked 3 kilometers. One sunday she biked 2 kilometers and 700 meters. How many kilometers did Marcia bike over the three days?
Answer:
6.3 km
Step-by-step explanation:
You want to know the total distance represented by segments of 600 m, 3 km, and 2km plus 700 m.
KilometerKilo- is a prefix meaning 1000. A kilometer is 1000 meters. That means we can write the distances as ...
600 m = 0.600 km3 km = 3.000 km2 km + 700 m = 2.700 kmTotalThe total of these distances is found by adding the decimal values in the usual way.
0.600 +3.000 +2.700 = 6.300
Marcia biked 6.3 km over the three days.
A metal cube has sides of length 4.5 cm, correct to the nearest 0.5 cm.
The cube is melted down and the metal is used to make small spheres.
Each sphere has a radius of 3 mm, correct to the nearest millimetre.
Work out the greatest number of spheres that could be made from the metal.
828 small spheres can be made from the metal.
Step-by-step explanation:
Side of the cube = 4.5cm
Volume = (a x a x a)
= (4.5 x 4.5 x 4.5)
= 91.125 cubic cm
Radius of the sphere = 3mm = 0.3 cm
Volume of 1 sphere = (4/3) π(r x r x r)
= (4/3) (3.14) (0.3 x 0.3 x 0.3)
= (4/3) (3.14) (0.027)
= 0.34/3
= 0.11 cubic cm
No. of spheres = 91.125/0.11
= 828.4
So, 828 small spheres can be made from the metal.
Claim: Most adults would erase all of their personal information online if they could. A software firm survey of 464 randomly selected adults showed that 64% of them would erase all of their personal information online if they could. Find the value of the test statistic.
Answer:
The value of the test statistic = 6.03
Step-by-step explanation:
The test statistics for a proportion of the population is the z calculated as follows;
[tex]z=\frac{\hat{p}-p}{\sqrt{\frac{pq}{n}}}[/tex]
Where:
[tex]\hat{p}[/tex] = 0.64
From the rule of large numbers we have, the proportion of adults who will erase their information online will tend towards 1/2 or 0.5 therefore, we have
p = 0.5 as the test
q = 1 - p = 1 - 0.5 = 0.5
n = Sample size = 464
Therefore, z is given by;
[tex]z=\frac{0.64-0.5}{\sqrt{\frac{0.5 \times 0.5}{464}}}[/tex]
= 6.03
The value of the test statistic = 6.03.
Follow these steps using the algebra tiles to solve the equation -5x + (-2) = -2x + 4
Answer:
x=-2
Step-by-step explanation:
−5x−2+2x=−2x+4+2x
−3x−2=4
Step 2: Add 2 to both sides.
−3x−2+2=4+2
−3x=6
Step 3: Divide both sides by -3.
−3x
−3
=
6
−3
x=−2
Answer:
x=-2
Step-by-step explanation:
I need help on this look at picture above. Intercepts. I need help ASAP.
Answer:
(0, -6/5)
(-3, 0)
Step-by-step explanation:
y-intercept is when x is 0.
x-intercept is when y is 0.
Answer:
y-intercept: (-3,0)
x-intercept (0,-1.2)
Step-by-step explanation:
Zach read a book for 10 minutes every weekend in the first month, 20 minutes in the second month, 40 minutes in the third month, and 80 minutes in the fourth month. Victoria read a book for 35 minutes every weekend in the first month, 50 minutes in the second month, 65 minutes in the third month, and 80 minutes in the fourth month. Which statement best describes the methods used by Zach and Victoria to increase the time they spent reading a book? (1 point)
Answer:
B) Victoria's method is linear because the number of minutes increased by an equal number every month.
Step-by-step explanation:
Zach reading time written in sequence form is given as:
10,20,40,80,...Each succeeding term is a product of the previous term by 2Victoria reading time written in sequence form is given as
35,50,65,80...Each succeeding term is an addition of 15 Minutes to the previous term.The statement that best describes the methods used by Zach and Victoria to increase the time they spent reading a book is therefore:
B) Victoria's method is linear because the number of minutes increased by an equal number every month.
Answer:
B
Step-by-step explanation:
Kiara left out reasons from her proof. Which reason best supports the statement ∠3≅∠4 ∠ 3 ≅ ∠ 4 ?
Answer:
Corresponding angles postulate
Step-by-step explanation:
Answer:
coresponding angles postulate
Step-by-step explanation:
just did it on TTM
Vuestion
Select all the correct answers.
A triangle has one angle that measures 35. Which values could be the measures of the other two angles?
75° and 70°
75° and 80°
25° and 120°
45° and 110
90° and 55
60° and 95
Submit
Answer:
90 and 55
Step-by-step explanation:
Answer:
75 degrees and 70 degrees
25 degrees and 120 degrees
90 degrees and 55 degrees
Step-by-step explanation:
edmentum
Wesley read a total of 21 books with his book club over 7 months. After belonging to the book club for 22 months, how many books will Wesley have read in all? Solve using unit rates.
Answer:
45 cents
Step-by-step explanation:
Penny is planning a baby shower for her daughter-in-law. The restaurant charges $950 for up to 25 guests, plus $31.95 for each additional guest. How many guests can attend if Penny wants the total cost to be no more than $1,500?
Answer:
42
Step-by-step explanation: I subtracted 950 from 1500 and that left me with 550 that i divided by 31.95 which left me with 17... but we keep it at 17 because we can't have half of a guest. Then you would add 17 to the 25 other guests you are paying for the answer of 42
Answer:
42
Step-by-step explanation:
1500-950=550
550÷32=17
17+25=42 guests
Use the information given in the diagram to prove that m∠JGI = One-half(b – a), where a and b represent the degree measures of arcs FH and JI.
A circle is shown. Secants G J and G I intersect at point G outside of the circle. Secant G J intersects the circle at point F. Secant G I intersects the circle at point H. The measure of arc F H is a. The measure of arc J I is b. A dotted line is drawn from point J to point H.
Angles JHI and GJH are inscribed angles. We have that m∠JHI = One-half b and m∠GJH = One-halfa by the . Angle JHI is an exterior angle of triangle . Because the measure of an exterior angle is equal to the sum of the measures of the remote interior angles, m∠JHI = m∠JGI + m∠GJH. By the , One-halfb = m∠JGI + One-halfa. Using the subtraction property, m∠JGI = One-halfb – One-halfa.
Answer:
See the attached figure which represents the problem.
Angles GJH and JHI are inscribed angles
Given: ∠GJH = 0.5a and ∠JHI = 0.5b ⇒ inscribed angle theorem
So, the angle JHI is an exterior angle of ΔGJH
AS, the measure of the exterior angle is equal to the sum of the sum of the remote interior angles
So, ∠JHI = ∠GJH + ∠JGI ⇒ by substitution property
∴ 0.5 b = 0.5a + ∠JGI
∴ ∠JGI = 0.5b - 0.5a ⇒ take 0.5 as a common
∠JGI = 0.5 ( b - a ) ⇒ by distributive property.
So, m∠JGI = One-half(b – a)
Answer:
see the explanation
Step-by-step explanation:
The picture of the question in the attached figure
we know that
The measure of the exterior angle is the semi-difference of the arches it covers.
In this problem
m∠JGI is an exterior angle
so
[tex]m\angle JGI=\frac{1}{2}[arc\ JI-arc\ FH][/tex]
we have
[tex]arc\ JI=b^o\\arc\ FH=a^o[/tex]
substitute the given values
[tex]m\angle JGI=\frac{1}{2}(b-a)^o[/tex]
Prove
Remember that
In any triangle the measure of an exterior angle is equal to the sum of the measures of the remote interior angles
so
In the triangle GJH
[tex]m\angle JHI=m\angle JGI+m\ angle GJH[/tex] ----> equation A
Remember that
The inscribed angle is half that of the arc it comprises.
so
[tex]m\angle JHI=\frac{b}{2}[/tex]
[tex]m\angle GJH=\frac{a}{2}[/tex]
substitute in the equation A
[tex]\frac{b}{2}=m\angle JGI+\frac{a}{2}[/tex]
Using the subtraction property
[tex]m\angle JGI=\frac{b}{2}-\frac{a}{2}[/tex]
simplify
[tex]m\angle JGI=\frac{1}{2}(b-a)^o[/tex] ----> proved