The probability of rolling a die and it landing on 4 while also drawing a heart from a deck of 52 cards is 1/24.
The experiment involves rolling a die and drawing a card from a deck. The probability of rolling a specific number, like a 4, on a fair six-sided die is 1/6 since there are six possible outcomes, each equally likely. When drawing a card from a standard 52-card deck, the probability of drawing a heart is 1/4, because there are four suits and each suit has the same number of cards (13).
To find the combined probability of both independent events occurring, we multiply their individual probabilities: (1/6) for rolling a four and (1/4) for drawing a heart, which equals (1/6) * (1/4) = 1/24. Therefore, the probability of the die landing on a 4 and drawing a heart is 1/24.
a box in the shape of a rectangular prism has the dimensions shown. what length of the interior diagonal of the box? round to the nearest tenth.
100 cm
80 cm
60 cm
Answer:
I keep getting 141.421... so rounded it would be 141.4
Step-by-step explanation:
The length of the interior diagonal of the box is approximately 141.4 cm.
How to find the volume and base's area of a right rectangular prism?Suppose the base of the prism has length = l units, and width = w units.
Suppose that the height of the prism is of h units, then:
[tex]v = \dfrac{l \times w \times h}{3} \: \rm unit^3[/tex]
is the volume of that prism.
The base is a rectangle with length = L units, and width = W units, so its area is:
[tex]b = l \times w\: \rm unit^2[/tex]
We are given that;
Height= 100cm
Width=80cm
Length=60cm
Now,
Using the Pythagorean theorem, we can find the length of the interior diagonal as:
diagonal = sqrt(l^2 + w^2 + h^2)
diagonal = sqrt(100^2 + 80^2 + 60^2)
diagonal = sqrt(10000 + 6400 + 3600)
diagonal = sqrt(20000)
diagonal ≈ 141.4
Therefore, the length of the diagonal of prism will be 141.4
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If the dimensions of a solid proportionally increase by a scale factor of 5, by what factor does the surface area
increase?
5/2
5/4
25/2
25/4
Answer:
25/4
Step-by-step explanation:
The height of a cylinder is 12 inches and the radius is 3.5 inches. What is the approximate volume of the cylinder?
Answer:
V≈461.81in³ That is the answer!
V = pi*r^2*h
V = pi*(3.5)^2*12
V = pi*12.25*12
V = pi*147
V = 147pi .... exact volume in terms of pi
V = 461.8141200777 is the approximate volume (use a calculator here)
The units for the volume are in cubic inches
Side note: If you use pi = 3.14, then you'll get an approximate volume of 147*pi = 147*3.14 = 461.58 which is a bit off from the other value we got earlier due to the fact pi = 3.14 is not as accurate as using the calculator's internal value of pi.
Can someone please help me ASAP
Answer:
(-4,0) (0,3)
(3-0)/(0+4)= 3/4
y - 0 = 3/4(x + 4)
y = 3/4x + 3
answer is a
Step-by-step explanation:
Answer:
It¨s A
Step-by-step explanation:
you first have to find the slope by doing rise over run,I checked the table and labeled the values for the x-axis and y-axis,the found the y-intercept which is when x is always zero and y is any random number so one of the points on the table show the x is 0 and y is 3 so that means the y-intercept is 3 also written as (0,3).
What is the radius and diameter of the following circle? 18cm
Answer:
Radius- 9cm
Diameter-18 cm
Step-by-step explanation:
The radius is ALWAYS half of the diameter.
Answer:
Radius:9cm
Diameter :18 cm
Step-by-step explanation:
A company manufactures handband a wirleless
Answer:
1. 21 represents the cost of manufacturing one handband.
3. The initial start up cost is $15000.
5. The company spends $57000 to manufacture 2000 handbands.
Step-by-step explanation:
We are given the cost function for manufacturing 'h' amount of handbands and it is provided that there was initial start up costs involved.
Now, as the cost function is given by, C(h) = 21h + 15000.
We can see that the initial start up cost is $15000.
As, 'h' is the number of handbands being made. So, 21h in C(h) is the cost of manufacturing 'h' handbands.
Therefore, 21 is the cost of manufacturing one handband.
Since, C(h) = 21h + 15000.
Substituting h = 2000, we get,
C(2000) = 21×2000 + 15000.
i.e. C(2000) = 42000 + 15000.
i.e. C(2000) = 57000.
The company spends $57000 to manufacture 2000 handbands.
Since, we are provided with only cost function, we can not talk about the profit.
Hence, option 1, 3 and 5 are correct.
PLEASE MARK ME BRAINLIST!
Answer:
1. 21 represents the cost of manufacturing one handband.
3. The initial start up cost is $15000.
5. The company spends $57000 to manufacture 2000 handbands.
Step-by-step explanation:
#5 If the diameter of a circle is 3 inches, what is the circumference to the nearest tenth? *
Answer:
9.4 inches
Step-by-step explanation:
The formula for circumference is πd
Since the diameter is 3 inches, multiply that by pi to get your answer
3π ≈ 9.4 inches
Which is the asymptote of the graph? y=0, y=1, y=2, y=3
Answer:
the asymptote would be zero because the graph is approaching zero, but never actually touches it.
Model the following equation:
2x - 5 = -7
Answer:
[tex]x = -1[/tex]
Step-by-step explanation:
[tex]2x - 5 = -7[/tex]
Rearrange terms
[tex]2x=-2[/tex]
Solve for x
[tex]x=-1[/tex]
An arc that lies outside of a central angle is called a
O
A. minor arc
O
B. semicircle
O
c. major arc
SUE
An arc that lies outside of a central angle is called a Major arc.
Option 'C' is correct.
What is mean by Circle?The circle is a closed two dimensional figure , in which the set of all points is equidistance from the center.
Since, We know that;
An arc that lies outside of a central angle is called a major arc.
Since arc of a circle is a continuous portion of a circle.
And Central angle is the angle formed at the centre and it is an acute angle so, an arc that lies outside of a central angle will be a major arc only.
Because major arc is greater than half of the circle so, it can be formed outside of a central angle only.
Hence, An arc that lies outside of a central angle is called a Major arc.
Option 'B' is correct.
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Solve for b.
Reduce any fractions to lowest terms. Don't round your answer, and don't use mixed fractions.
–67b+ 6 < 96 + 43
Answer:b>-1 and 66/67
Step-by-step explanation:
First you add like terms. So 96+43. Your problem should now look like this -67+6=139. Now subtract 139 from 6 and you will be left with this -67b<133. Now divide 133 by -67 and you get -1.985074627. Or -1 66/67 as a fraction. You have to flip the sign because you divided by a negative number. You answer should look like this b>-1 and 66/67.
How can one variable equations have more than one solution in some cases and no solutions in others?
Answer:A system of linear equations usually has a single solution, but sometimes it can have no solution (parallel lines) or infinite solutions (same line).
Step-by-step explanation:
Answer:
There can be more than one solution to a system of equations. A system of linear equations will have one point of intersection, or one solution. To graph a system of equations that are written in standard form, you must rewrite the equations in slope -intercept form.
Step-by-step explanation:
Two sides of a trangie measure 5 in and 12 in which could be the length of the third side?
Answer:
The length of the third side could be anywhere between [tex]7\; \rm in[/tex] and [tex]17\; \rm in[/tex], excluding the two endpoints.
Step-by-step explanation:
Let [tex]x[/tex] represent the length (in inches) of the third side.
In a triangle, the sum of the lengths of any two sides should be greater than the length of the third side. The lengths of the three sides of this triangle are:
[tex]5\; \rm in[/tex], [tex]12\; \rm in[/tex], and[tex]x\; \rm in[/tex].The sum of the lengths of the first two sides is [tex]5 + 12 = 17\; \rm in[/tex]. This sum should be greater than (not equal to) the length of the third side: [tex]x\; \rm in[/tex]. That gives the first inequality:
[tex]5 + 12 > x[/tex].Similarly, the sum of the lengths of the first and the third sides is [tex](5 + x)\; \rm in[/tex]. This sum should be greater than (not equal to) the length of the second side: [tex]12\; \rm in[/tex]. That gives the second inequality:
[tex]5 + x > 12[/tex].The sum of the lengths of the second and the third sides is [tex](12 + x)\; \rm in[/tex]. This sum should be greater than (not equal to) the length of the first side: [tex]5\; \rm in[/tex]. That gives the third inequality:
[tex]12 + x> 5[/tex].Solve the three inequalities for the range of [tex]x[/tex], the length of the third side:
[tex]\displaystyle \left\lbrace\begin{aligned}& 5 + 12 > x \\ & 5 + x > 12 \\ & 12 + x > 5\end{aligned}\right.[/tex].
The first inequality simplifies to [tex]x < 17[/tex]. The second inequalities gives [tex]x > 7[/tex], while the third gives [tex]x > -7[/tex].
Refer to the diagram attached. [tex]7 < x < 17[/tex] is the region that satisfies all three inequalities. Therefore, the length of the third side should be between [tex]7[/tex] and [tex]17[/tex], exclusive.
a cube has an edge of D cm. What is the volume of the cube
Answer:
The volume of the cube is D * D * D or D³ cm³
Step-by-step explanation:
The circumference of a circle is 60 kilometers. What is its radius?
Answer: 9.5493
Step-by-step explanation: circumference = 2pi*r
Answer:
9.55 simplified
1Which extegory do both shapes belong to?
15+7r+r(r-3)-r^2 simplified
Answer:
15+4r
Step-by-step explanation:
15+7r+r(r-3)-r^2
Distribute
15+7r+r^2-3r-r^2
Combine like terms
15+7r-3r+r^2-r^2
15 +4r
Answer:
15 + 4r
Step-by-step explanation:
15+7r+r(r-3)-r²
15 + 7r + r² - 3r - r²
15 + 4r
On the first day it was posted online, a music video got 1750 views. The
number of views that the video got each day increased by 20% per day. How
many total views did the video get over the course of the first 5 days, to the
nearest whole number?
To find the total views a music video got over the first 5 days with a 20% daily increase, calculate the views for each day using a geometric sequence formula and sum them, resulting in approximately 13023 views.
Explanation:To calculate the total views a music video got over the course of the first 5 days with a 20% daily increase starting at 1750 views, we use the geometric sequence formula V = V0 × (1 + r)n, where V0 is the initial number of views (1750), r is the daily increase rate (0.20), and n is the day number. The total views (TV) over 5 days is calculated by summing the individual daily views.
Day 1: 1750 views
Day 2: 1750 × (1 + 0.20) = 2100 views
Day 3: 1750 × (1 + 0.20)2 = 2520 views
Day 4: 1750 × (1 + 0.20)3 = 3024 views
Day 5: 1750 × (1 + 0.20)4 = 3628.8 views, rounded to 3629 views
The total views over the five days is the sum of daily views: 1750 + 2100 + 2520 + 3024 + 3629 = 13023 views.
Who can help me with this I’ll mark u as brainliest
Answer:
The answer is D
Step-by-step explanation:
Crown me?
Answer:
D
Step-by-step explanation:
x^2+18x-19=0
(x+18)(x-1)
x=-18
x=1
On a coordinate plane, a circle has a center at point (negative 6, 4). What is the equation of the circle shown in the graph? ( )² + ()² =
Answer:
1) x+6 2)y-4 3)36
Step-by-step explanation:
(x+6)² + (y-4)² = 36
Answer:
First Drop down: X+6
Second: Y-4
Third: 36
Step-by-step explanation:
The heights of a group of boys and girls at a local middle school are shown on the dot plots below.
Boys' Heights
40 41 44 46 48 50 52 54 56 58 60
Inches
Girls' Heights
40 41 44 46 48 50 52 54 56 58 60
Answer:
The girls and boys heights are equal and none are shorter or taller.
You get this answer from identifying the numbers, seeing if there is any number that is larger or shorter than 40-60.
Hope this helped!
Which equation results from adding the equations in this system?
Negative 8 x + 8 y = 8. 3 x minus 8 y = negative 18.
5 x = negative 10
5 x = 26
Negative 5 x = 26
Negative 5 x = negative 10
Answer:
D)-5x = -10
Step-by-step explanation:
The equation results from adding the equations in this system is -5x = -10.
Option D is the correct answer.
What is an equation?An equation is a mathematical statement that is made up of two expressions connected by an equal sign.
Example:
2x + 3 = 7 is an equation.
We have,
-8x + 8y = 8 _____(1)
3x - 8y = -18 _____(2)
Now,
Adding (1) and (2) we get,
-8x + 8y + 3x - 8y = 8 - 18
-5x = -10
Thus,
-5x = -10 is the equation.
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Multiply and simplify
Answer: The answer you clicked on in the picture is correct, (B)
Step-by-step explanation: I put the equation through a thing I know of (faMATHWAce) and got that as the answer.
write an equation in point-slope form of the line that passes through the point (-2,4) and has a slope of 5
Answer:
y=mx+b m= slope b=Y-Intercept
4=5(-2)+b
Answer:
4=5(-2)+b
Step-by-step explanation:
hope this helps
What is the probability of someone preferring phone
calls, given the person is a female?
O 43%
O 46%
O 54%
O 57%
Answer: 54
Step-by-step explanation:
Can you simplify 7 (2x -3)
Answer:
simplification of the equation is:
14x-21
find the height of a triangle whose base is 11cm and its area is 88cm square
Answer:2
Step-by-step explanation:
Answer:
16 cm
Step-by-step explanation:
Area of a triangle=(b×h)/2
Height=2 (area)/base
H=2(88)/11
H=176/11
H=16 cm
Question is the attachment
Answer:
180
^
120 Green, 60 Red
^ ^
Bruised Green = 30, Not Bruised Green = 90/Bruised Red = 12, Not Bruised Red = 48
Step-by-step explanation:
There is a beginning amount of 180 which goes in the first bubble. Then, you divide by 3 because 1/3 is red. 180 divided by 3 is 60, so there are 60 red apples. And 180 minus 60 is 120 and that's the amount of green. Then, 1/5 of the red apples are bruised so 60 divided by 5 is 12, so 12 are bruised and sincce 60 - 12 = 48, 48 are not. And then 1/4 of the green are bruised so 120 divided by 4 is 30, which means 30 are bruised. Lastly 120 minus 30 = 90, so 90 are not bruised that are green.
Which statements are true about surface area and volume? Check all that apply.
Answer:
where are the choices?
Step-by-step explanation:
Please help me :( solve for x and y. y = 4x and 3x + 2y = 55
Final answer:
To solve the system of equations y = 4x and 3x + 2y = 55, you can substitute 4x for y in the second equation, simplify to find x = 5, and then calculate y = 20.
Explanation:
To solve for x and y using the equations y = 4x and 3x + 2y = 55, you can use substitution or elimination. Let's use substitution since we already have y expressed in terms of x.
Substitute 4x for y in the second equation: 3x + 2(4x) = 55.
Simplify and solve for x: 3x + 8x = 55 becomes 11x = 55, so x = 5.
Substitute x back into the first equation to find y: y = 4(5), so y = 20.
Therefore, the solution to the system of equations is x = 5 and y = 20.