Answer:
The Probability of getting lemon drink on both draws is 1/16
The Probability of getting diamond on both cards is 1/17
Step-by-step explanation:
1)
No. of lemon-lime flavored bottle = 3
No. of orange flavored bottle = 4
No. of fruit punch flavored bottle = 5
Total bottles = 12
We are given that You randomly grab a bottle. Then you return the bottle to the cooler,mix up the bottles, and randomly select another bottle. Both times you get a lemon-lime drink.
Probability of getting lemon drink on both draws with replacement =[tex]\frac{3}{12} \times \frac{3}{12} = \frac{1}{16}[/tex]
So, The Probability of getting lemon drink on both draws is 1/16
2)
No. of diamond cards = 13
Total cards =52
Probability of getting diamond on first card = [tex]\frac{13}{52}[/tex]
Probability of getting diamond on second card =[tex]\frac{12}{51}[/tex]
Probability of getting diamond on both cards = [tex]\frac{13}{52} \times \frac{12}{51}=\frac{1}{17}[/tex]
So, The Probability of getting diamond on both cards is 1/17
Find the area of the triangle
Answer:
32
Step-by-step explanation:
you add together the 2 and 6 which gets you 8 and since the formula for the area of a triangle is bass * height divided by 2 you would do 8 * 8 which is 64 and then you divide by 2 which is 32
What is the compliment of Mariah choosing three mysteries?
Tim has a 6-sided die that contains the
numbers 1-6 on each of its sides. Tim rolls
the die 48 times. About how many times
Would you expect Tim to roll a 3?
How do you do this?
Please help, I’ve been staring at this for like 10 min :)
Answer & Step-by-step explanation:
The formula is given in the middle. You are supposed to insert the value of x into this formula to find the value of y (like in the first given example):
[tex]x=-2\\y=2(-2)+5\\y=-4+5\\y=1[/tex]
------
[tex]x=-1\\y=2(-1)+5\\y=-2+5\\y=3[/tex]
------
[tex]x=0\\y=2(0)+5\\y=0+5\\y=5[/tex]
------
[tex]x=1\\y=2(1)+5\\y=2+5\\y=7[/tex]
------
[tex]x=2\\y=2(2)+5\\y=4+5\\y=9[/tex]
:Done
The frame of the given window is made
of a rectangle with semi-circular top.
Find its perimeter and area.
2.1 m
1.4 m
Answer:
3.7096902=area
Step-by-step explanation:
2.1x1.4=2.94m^2
2.94+(.5pi(.7^2))
5(2k-3)+17 helppppppppp i need it simplified
Answer:
2(5k + 1)
Step-by-step explanation:
5(2k - 3) + 17 =
10k - 15 + 17
10k + 17 - 15
10k + 2
2(5k + 1)
A rectangular prism has the dimensions of 2in, 5in, and 7in. What is the volume of the prism?
Solve 8.2ws 29.52. Which of the following must be true abo
OWS36
The arrow points left
The arrow points right
There is an open circle at 3.6.
There is a closed circle at 3.6.
Answer:
A B E
Step-by-step explanation:
A- w less-than-or-equal-to 3.6
B- The arrow points left.
E- There is a closed circle at 3.6.
Answer:
A B E
Step-by-step explanation:
Mindy deposits $250 into a savings account that pays simple interest. If the interest rate is 1.5%, what is her account balance at the end of a 2 years if she makes no withdrawals?
Answer:
Her account balance at the end of 2 years is $257.5.
Step-by-step explanation:
This is a simple interest problem.
The simple interest formula is given by:
[tex]E = P*I*t[/tex]
In which E is the amount of interest earned, P is the principal(the initial amount of money), I is the interest rate(yearly, as a decimal) and t is the time.
After t years, the total amount of money is:
[tex]T = E + P[/tex]
In this question:
Deposit of $250, so [tex]P = 250[/tex]
Interest rate of 1.5%, so [tex]I = 0.015[/tex]
2 years, so [tex]t = 2[/tex]
Amount of interest earned:
[tex]E = P*I*t = 250*0.015*2 = 7.5[/tex]
Total amount:
[tex]T = E + P = 7.5 + 250 = 257.5[/tex]
Her account balance at the end of 2 years is $257.5.
Complete 5-8 for 15 points.
1.-En una estación de autobuses de la Ciudad de México hay dos líneas que llevan a Cuautla, Morelos. Ambas tienen salidas desde las 6:00 am, la primera, tiene salidas cada 15 minutos y la segunda cada 20. Si los primeros camiones de ambas líneas salen a las 6:00, ¿a qué hora coincidirán nuevamente en la salida?
2.-Tita está haciendo unos recuerdos y está colocando dulces en ellos. Tiene 48 paletas de malvavisco y 32 bolsitas de lunetas. Quiere repartirlos en partes iguales y que a cada familiar le toque el número mayor de dulces y de manera exacta. Calcula el número máximo que le puede tocar a cada persona, cuánto le toca a cada uno y hasta cuántos recuerdos puede hacer.
Answer:
1) 7 : 00 am, 2) 3 paletas de malvavisco, 2 bolsitas de lunetas, 16 recuerdos.
Step-by-step explanation:
(Both exercises are written in Spanish. Hence, explanations will be held in that language)
1) Las ecuaciones que describen el tiempo transcurrido en función del número de salidas de cada línea son, respectivamente:
Primera Línea
[tex]t_{1} = 15\cdot n_{1}[/tex]
Segunda Línea
[tex]t_{2} = 20\cdot n_{2}[/tex]
Donde t se mide en minutos. La siguiente relación se obtiene a partir de de igualar y sustituir el tiempo de ambas ecuaciones.
[tex]15\cdot n_{1} = 20\cdot n_{2}[/tex]
La siguiente relación es construida:
[tex]n_{1} = \frac{20}{15}\cdot n_{2}[/tex]
[tex]n_{1} = \frac{4}{3}\cdot n_{2}[/tex]
Tanto [tex]n_{1}[/tex] como [tex]n_{2}[/tex] son números naturales, si [tex]n_{2} = 3[/tex], entonces:
[tex]n_{1} = 4[/tex]
Finalmente, el tiempo transcurrido es:
[tex]t_{1} = 15\cdot (4)[/tex]
[tex]t_{1} = 60\,min[/tex]
En consecuencia, las salidas coincidirán a las 7 : 00 am.
2) El máximo número de recuerdos es determinado por el menor número de determinados dulces. Las bolsitas de lunetas representan el limitante, la razón de paletas de malvavisco a bolsitas de lunetas es:
[tex]x = \frac{48\,m}{32\,l}[/tex]
[tex]x = \frac{3\,m}{2\,l}[/tex]
La proporción óptima es de 3 paletas de malvavisco por cada 2 bolsitas de lunetas. Entonces, el máximo número de recuerdos es:
[tex]y = \frac{32}{2}[/tex]
[tex]y = 16[/tex]
El máximo número de recuerdos es 16.
HELP FAST this is a late assignment
Answer:
A, C, and D
Step-by-step explanation:
They are subtracting
Find the distance between A and B.
A. 2√5 Units
B. √6 Units
C. 4 Units
D. 2√3 Units
Answer:
The result is [tex]d = 2\sqrt{5}[/tex] units.
Step-by-step explanation:
The coordinates for A and B:
A = (-2, 0)
B = (2, 2)
-To find the distance between A and B, you need the distance formula:
[tex]d = \sqrt{(x_{2} - x_{1})^2 + (y_{2}-y_{1})^2}[/tex] Where the first coordinate is [tex](x_{1},y_{1})[/tex] and the second coordinate is [tex](x_{2}, y_{2})[/tex].
-Use the coordinates A and B for the equation:
[tex]d = \sqrt{(2+2)^2 + (2-0)^2}[/tex]
-Then, you solve the equation:
[tex]d = \sqrt{(2+2)^2 + (2-0)^2}[/tex]
[tex]d = \sqrt{(4)^2 + (2)^2}[/tex]
[tex]d = \sqrt{16 + 4}[/tex]
[tex]d = \sqrt{20}[/tex]
[tex]d = 2\sqrt{5}[/tex]
So, therefore the distance is [tex]2\sqrt{5}[/tex] units.
Visitors to a public library were asked how many miles they lived from the library. The table shows their responses.
Number of miles
1.5 2.3 3.5 2 1.8
1.8 1.9 0.5 2.5 2.4
4.8 3.7 0.6 2 2.4
2.5 1.5 0.5 1.8 0.8
Of these visitors, the first 10 people to check out books lived the following miles from the library.
Number of miles
0.5 1.8 0.8 1.8 3.5
4.8 0.6 2 1.5 0.5
What is the sample mean for the data?
Enter your answer in the box.
x¯ = __ mi
Answer:
The sample mean = 1.8
Step-by-step explanation:
I just completed the test and this was the correct answer
The sample mean for the data is 1.8 if the first 10 people to check out books lived out of 20 population.
What are population and sample?It is defined as the group of data having the same entity which is related to some problems. The sample is a subset of the population, it is a part of the population.
We have:
Total number of population = 20
To calculate the sample mean:
Total number of samples N = 10
Sum of the sample values ∑x = 0.5+1.8+0.8+1.8+3.5+4.8+ 0.6+ 2+1.5+0.5
∑x = 17.8
Now the mean of the sample data = ∑x/N = 17.8/10 = 1.78 ≈ 1.8
Thus, the sample mean for the data is 1.8 if the first 10 people to check out books lived out of 20 population.
Learn more about the population and sample here:
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Factor the trinomial
The factors of m^2+12m+35 are ____ and ____
Rachel is making nachos for a party. The recipe calls for 23 cup of cheese for each plate of nachos. Part A How many full plates of nachos can Rachel make with 5 cups of cheese?
Answer: 0.22 plates
Step-by-step explanation:
Given that The recipe calls for 23 cup of cheese for each plate of nachos
1 plate = 23 cups
X plate = 5 cups
Cross multiply
5 = 23x
Make the x the subject of formula
X = 5/23
X = 0.22
Or 5/23 plate
Find the magnitude of a particle's acceleration vector at t = 0 for a particle moving with position vector [tex]r(t)-(cos(t),t^3)[/tex]
1
0
2
3
Thank you
Answer:
1
Step-by-step explanation:
r(t) = (cos t, t³)
Take first derivative to find velocity:
v(t) = dr/dt
v(t) = (-sin t, 3t²)
Take derivative again to find acceleration:
a(t) = dv/dt
a(t) = (-cos t, 6t)
At t=0, the acceleration's magnitude is:
a(0) = (-1, 0)
|a(0)| = √((-1)² + 0²)
|a(0)| = 1
Write these values in order, starting with the smallest.
The first one has been done for you.
0.15 1/10 12% 1/20
A. B. C. D.
[D] [ ] [ ] [ ]
9514 1404 393
Answer:
D B C A
Step-by-step explanation:
The decimal equivalents are ...
A 0.15 = 0.15
B 1/10 = 0.10
C 12% = 0.12
D 1/20 = 0.05
Least-to-greatest, the order is D B C A.
Question 2 Please help. Find the arc length for the following:
Answer:
The answer is 9.4 units.
Math
Which quantity is proportional to
18/6?
Check all that are true.
Answer: There isnt enough information to asnwer
Step-by-step explanation:
Answer:
36⁄12
Step-by-step explanation:
there are 5 times as many tulips as rose bushes in a garden.there are 15 tulips . how many rose bushes are in the garden/
Answer:
There are 3 roses in the garden.
Step-by-step explanation:
If there are 5 times as man tulips in the garden as the roses, you would have to count 3, 5 times in order to get 15 which brings us to the answer of 3 roses in the garden.
15. What is the volume of the sphere? Round the answer to the nearest cubic unit.
16 cm
268 cm3
2,145 cm3
17,157 cm3
536 cm
Answer:
2145 cm3
Step-by-step explanation:
Volume is a three-dimensional scalar quantity. The volume of the sphere is 2,145 cm³.
What is volume?A volume is a scalar number that expresses the amount of three-dimensional space enclosed by a closed surface.
The volume of the sphere is given by the formula,
[tex]\text{Volume of the sphere} = \dfrac43 \pi r^3[/tex]
Given that the diameter of the sphere is 16 cm, therefore, the radius of the sphere is 8 cm. Now, the volume of the sphere can be written as,
[tex]\text{Volume of the sphere} = \dfrac43 \pi r^3[/tex]
[tex]=\dfrac43 \pi r^3\\\\=\dfrac43 \times \pi \times (8)^3\\\\= 2,144.66\ cm^3 \approx 2,145\ cm^3[/tex]
Hence, the volume of the sphere is 2,145 cm³.
Learn more about Volume:
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How do you solve this question? With a step by step explanation please!
[tex]\frac{1}{4}x + 2 = -3 + \frac{1}{2} x[/tex]
First, we will take [tex]\frac{1}{4}[/tex]x to the right hand side of the equation, and -3 to the left hand side. In doing so, their signs will change (that is, they will be subtracted from the side that they are moved to).
2 -(-3) = [tex]\frac{1}{2} x - \frac{1}{4} x[/tex]
2 + 3 = [tex]\frac{1}{4}[/tex]x
[tex]\frac{1}{4} x = 5[/tex]
Now, we will multiply both sides by 4, so as to find x.
[tex]\frac{1}{4} x[/tex] x 4 = 5 x 4
x = 20
Therefore, x = 20.
Real World Problems with Rational Numbers
26
Directions: Drag each point to the correct location on the number line.
Jean climbed 3 of the distance to the top of the cliff as shown on the number line. Terry climbed 3 of the distance less than Jean.
Steve climbed 5 of the distance more than Jean. Drag the points to the correct locations on the number line.
Terry
Steve
1
Answer:
aiaavaobsoavvdiabajiaveoaveugwviaoqjavdjoagw
When I visit my brother it is a 532 mile round trip. If I visit my brother once a month how many miles would I travel in a year round the miles to the nearest hundreds to estimate the answer
Answe12800 miles
Step-by-step explanation:a year is 12 months, and mile round trip means there and back. so 532x24 for the 24 trips that equals 12768. 12768 rounded to the nearest hundreds is 12800
Please help!
What is 5.2¯ expressed as a fraction in simplest form?
275
389
265
479
Answer:
Step-by-step explanation:
389
Answer. 3/89
Step-by-step explanation:
HEY FREN
find the zeros for (x+7) (x+5)+0
Steps to solve for the zero:
(x + 7)(x + 5) = 0
~Set both factors to equal zero
x + 7 = 0
x + 5 = 0
~Solve for x in [ x + 7 = 0 ]
x + 7 = 0
x + 7 - 7 = 0 - 7
x = -7
~Solve for x in [ x + 5 = 0 ]
x + 5 = 0
x + 5 - 5 = 0 - 5
x = -5
Therefore, the solutions are x = -7 and x = -5
Best of Luck!
What the percent of 160 is 56? Use the bar model
Answer:
35%
Step-by-step explanation:
See attached for visual
160= 8*20 8 = 1/20 = 5% of 16056= 8*77*5% = 35%56 is 35% of 160
Simplify the expression. Write your answer as a power. (−3)^4(−3)^1
Answer:
-243
Step-by-step explanation:
Which is the simplified form of m Superscript negative 8 p Superscript 0?
StartFraction 1 Over m Superscript 8 Baseline p EndFraction
StartFraction 1 Over m Superscript 8 EndFraction
StartFraction p over m Superscript 8 EndFraction
m Superscript 8
i think it is C
Step-by-step explanation:
Answer:
1 or D
Step-by-step explanation:
