Answer: 24.34 is his balance.
Step-by-step explanation:
If you were to roll two dice, what is the probability that the sum of the numbers showed on the dice is greater than 5?
The probability that an outcome is greater than 5 is the likelihood of the outcome
The probability that the sum of the numbers showed on the dice is greater than 5 is 13/18
How to determine the probability?The sample size of a roll of two dice is:
n(S) = 36
The number of outcomes that have a sum greater than 5 is:
Greater than 5 = 26
So, the required probability is:
P = 26/36
Simplify
P = 13/18
Hence, the probability that the sum of the numbers showed on the dice is greater than 5 is 13/18
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Evaluate each expression if f = –4, g = 2, and h = 7.
h – f
Answer:
11
Step-by-step explanation:
h - f = 7 - (-4) = 7 + 4 = 11
Which of the following is the correct factorization of the polynomial below?
64x^3 + 27
A. (16x + 8)(3x^2 - 12x + 9)
B. (4x + 3)(16x^2 - 12x + 9)
C. (3x^2 + 4)(3x - 16x + 16)
D. The polynomial is irreducible.
they easiest way to find the right answer is to look at the 2 first terms and checking if they equal 64x³
doing so:
A:
48x³+...
B:
64x³+...
C:
9x³-48x³+...
= -39x³+...
-> the answer should be B, to make sure this is the right answer, you can just solve B
B:
(4x+3)(16x²-12x+9)
= 64x³- 48x²+36x+48x²-36x+27
= 64x³+27
-> answer B is correct
Write an equation of the line that passes through (1,2) and is parallel to the line y=-5x+4
The equation of the line that passes through (1,2) and is parallel to the line y=-5x+4, is y=-5x+7.
What is the equation of line?The equation of the line is the way of representation of a line in the equation form.
The equation of the lines represents the line by the set of points on which the line lies or passes through in the coordinate system.
[tex]y=mx+c[/tex]
Here, (m) is the slope of the line and (c) is the y intercept.
This line is parallel to the line which has to be find out is,
[tex]y=-5x+4[/tex]
As the parallel lines have same slope. Thus, the line which is required to find has a slope of -5.
Compare with standard equation of line, we get the slope of the line,
[tex]m=-5[/tex]
Thus, the equation of line become,
[tex]y=-5x+c[/tex]
The line passes through (1,2). Put these values in the above equation as,
[tex]2=-5(1)+c\\2=-5+c\\c=2+5\\c=7[/tex]
Thus, the equation become,
[tex]y=-5x+7[/tex]
Hence, the equation of the line that passes through (1,2) and is parallel to the line y=-5x+4, is y=-5x+7.
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What is the ratio of the surface areas of two cones if the radius of one is 3 en and the slant height is 7 cm, and the other has a radius of 5 cm and a slan Height of 9 cm?
Given Information :-
⠀
A cone with dimensions :-
Radius = 3 cmSlant height ( l ) = 7 cm⠀
Another cone with dimensions :-
⠀
Radius = 5 cmSlant height = 9 cm⠀
To Find :-
⠀
The ratio of their total surface area⠀
Formula Used :-
⠀
[tex] \qquad \diamond \: \underline{ \boxed{ \red{ \sf T.S.A._{Cone}= \pi r(r+l) }}} \: \star[/tex]
⠀
Solution :-
⠀
For the first cone,
⠀
Since, we don't really have to find the exact values of the surface area, we will let pi remain as a sign itself, this will make the calculations easier.
⠀
[tex] \sf \longrightarrow T.S.A. = \pi \times 3(3 + 7) \\ \\ \\ \sf \longrightarrow T.S.A. = \pi \times 3 \times 10 \: \: \: \\ \\ \\ \sf \longrightarrow T.S.A. =30 \pi \: {cm}^{2} \: \: \: \: \: \: \: \: \\ \\ [/tex]
Now, for the second cone,
⠀
[tex] \sf \longrightarrow T.S.A. = \pi \times 5(5 + 9) \\ \\ \\ \sf \longrightarrow T.S.A. = \pi \times 5 \times 14 \: \: \: \: \\ \\ \\ \sf \longrightarrow T.S.A. =70 \pi \: {cm}^{2} \: \: \: \: \: \: \: \: \: \\ \\ [/tex]
Now, we just have to calculate the ratio of their surface areas, thus,
⠀
[tex] \sf \longrightarrow Ratio = \dfrac{Surface ~area~of~first~cone}{Surface ~area~of~second~cone} \\ \\ \\ \sf \longrightarrow Ratio = \frac{30 \pi \: {cm}^{2} }{70 \pi \: {cm}^{2} } \: \: \: \: \: \: \: \: \: \qquad \qquad \qquad \\ \\ \\ \sf \longrightarrow Ratio = \frac{ 3 \cancel{0 \pi \: {cm}^{2}} }{ 7 \cancel{0 \pi \: {cm}^{2} } } \qquad \qquad \qquad \qquad \\ \\ \\\sf \longrightarrow Ratio = \frac{3}{7} = 3 : 7 \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \\ [/tex]
Thus, the ratio between the surface areas of the cones is 3 : 7.
⠀
[tex] \underline{ \rule{227pt}{2pt}} \\ \\ [/tex]
Please help me thank youuu!!
Answer:
Step-by-step explanation:
So what you want to know is what are the odds of drawing 4 5 6 out of 13.
P(4 5 6) = 3/13
Odds are a little bit different. You are still getting some idea of how likely an event is.
The formula is Probabity / ( 1 - Probability)
So The probability = 3/13
1 - probability = 1 - 3/13 = 10/13
probability / (1 - probability ) = 3/13 // 10/13 = 3/13 * 13/10 = 3 / 10 or 3 chances in 10.
I think Probability is more intuitively correct.
Answer:
3/13
Step-by-step explanation:
(c) 111 IT IIISH (Find the value of):
6
E (4n -2)
1 =2
Answer: 70
Step-by-step explanation:
Roberto has by saltine crackers at the store. The label on the shelf for brand A says that it’s unit cost is $3.75/lb. Brand B says that its unit cost is $0.18/oz. Which is the better by?
Answer:
Brand A
Step-by-step explanation:
IN the end buying it for $3.75/lb would end up being cheaper then buying it for $0.18/oz. Hopethis helps!
I need help with a math problem.
Answer:
where is the problem?
The lengths of two sides of a triangle are 10 and 24, and the third side is x. How many whole number values are possible for x.
Answer:
[tex]20[/tex].
Step-by-step explanation:
In any triangle, the sum of the lengths of any two sides should be strictly greater than the length of the third side. For example, if the length of the three sides are [tex]a[/tex], [tex]b[/tex], and [tex]c[/tex]:
[tex]a + b > c[/tex],
[tex]a + c > b[/tex], and
[tex]b + c > a[/tex].
In this question, the length of the sides are [tex]10[/tex], [tex]24[/tex], and [tex]x[/tex]. The length of these sides should satisfty the following inequalities:
[tex]10 + 24 > x[/tex],
[tex]10 + x > 24[/tex], and
[tex]24 + x > 10[/tex].
Since [tex]x > 0[/tex], the inequality [tex]24 + x > 10[/tex] is guarenteed to be satisfied.
Simplify [tex]10 + 24 > x[/tex] to obtain the inequality [tex]x < 35[/tex].
Similarly, simplify [tex]10 + x > 24[/tex] to obtain the inequality [tex]x > 14[/tex].
Since [tex]x[/tex] needs to be a whole number, the greatest [tex]x[/tex] that satisfies [tex]x < 35[/tex] would be [tex]34[/tex]. Similarly, the least [tex]x\![/tex] that satisfies [tex]x > 14[/tex] would be [tex]15[/tex]. Thus, [tex]x\!\![/tex] could be any whole number between [tex]15\![/tex] and [tex]34\![/tex] (inclusive.)
There are a total of [tex]34 - 15 + 1 = 20[/tex] distinct whole numbers between [tex]15[/tex] and [tex]34[/tex] (inclusive.) Thus, the number of possible whole number values for [tex]x[/tex] would be [tex]20[/tex].
Suppose f(x) = x². Find the graph of f(x-4)
4
Click on the correct answer.
1
2 3
Click on each graph to enlarge it.
graph 1
graph 2
graph 3
graph 4
What’s the answer ?
Answer:
1
Step-by-step explanation:
Translation of a function h units to the right is accomplished by replacing x in the function definition with (x-h).
Here, x has been replaced by x-4, so we expect to see the graph look like the original function graph shifted 4 units to the right.
That matches Graph 1.
Can someone please help me with this
Answer:
1, 4, 6.
Step-by-step explanation:
[tex]\left(2n+8\right)\left(n+4\right)=2n^2+16n+32[/tex]
1. [tex]2(x+4)^2=2n^2+16n+32[/tex]
2. [tex]2\left(n+4\right)\left(n+4\right)=2(n+4)^2[/tex]
3. [tex]16n+32=16n+32[/tex]
4. [tex]2n^2+16n+32=2n^2+16n+32[/tex]
5. [tex]2n^2+8n+32=2n^2+8n+32[/tex]
6. [tex]2(n^2+8n+16)=2n^2+16n+32[/tex]
As you can see from the answers it is 1, 4, and 6.
what types of atoms are there in a cell
Answer:
carbon (C), hydrogen (H), nitrogen (N), and oxygen (O)—make up 96.5% of an organism's weight.
Step-by-step explanation:
hope this helps.
Kurtis is watching a movie. The movie lasts 280 min. Kurtis has watched 30% of the movie so far. How many minutes of the movie has Kurtis watched? Show your Work.
Answer:
ok so this is just multiplycation
30% is also 0.3 so
280*0.3=84
84 minutes or
1 hour 24 minutes
Hope This Helps!!!
Answer: 23810645.03820431-24
Step-by-step explanation:
Used my brain :)
This figure represents a garden box that is to be filled with soil.
How much soil will it take to fill the garden box?
Enter your answer in the box.
Answer:
1728 ft³
Step-by-step explanation:
Lower part:
volume = 19 ft × 12 ft × 6 ft = 1368 ft³
Upper part:
volume = 10 ft × 12 ft × 3 ft = 360 ft³
Total Volume = 1728 ft³
Natasha's uncle has a rectangular field that has an area of 5/8 square miles. The width of the field is 1/4 mile. How long is the field? Show your work.
Answer:
5/2 or 2 1/2
Step-by-step explanation:
You divide the area by the width to get the length
5/8 / 1/4 and do keep change flip to get:
5/8 * 4/1 = 20/8 which you then simplify and get 5/2
Helppp PLEASE ASPPP HELP HELP HELP PLEASE HELP
Answer:
c. 17/12
Step-by-step explanation:
Jordan is making a scale model of the Hanging Gardens of Babylon, one of the seven wonders of the ancient world. The actual gardens were said to be 24.4 meters tall. Jordan uses a scale of 1 cm = 0.5 m.
To the nearest tenth of a centimeter, what should be the height of Jordan’s model?
A. 12.2 cm
B. 24.4 cm
C. 48.8 cm
D. 122.0 cm
Jordan's scale model would let him have a proportional measurement of the actual drawing
The height of Jordan's model is 48.8 cm
How to determine height of Jordan's model?The scale ratio is represented as:
Ratio = Model : Actual
So, we have:
1 cm : 0.5 m = Model : 24.4 m
Express as fractions
1 cm / 0.5 m = Model / 24.4 m
Multiply both sides by 24.4 m
Model = 24.4 m * 1 cm / 0.5 m
Evaluate the product
Model = 48.8 cm
Hence, the height of Jordan's model is 48.8 cm
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Answer:
it is C. 48.8
Step-by-step explanation:
new/original
24.4 divided by 0.5
=48.8
or the longer way:
24.4 divided by 1/2
24.4 * 2/1=
48.8
Find the area of a square with a slide length of 7/12
[tex]\text{Area of square} = \text{Side}^2 = \left(\dfrac{7}{12}\right)^2 = \dfrac{49}{144}=0.3402\overline{7}~ \text{Units}^2[/tex]
Create a table, chart, or diagram that you can use to help you decide which hypothesis test you need to use (selecting from: population proportion, a population mean, two proportions from independent samples, two means from dependent samples, and two means from independent samples). Explain your table, chart, or diagram so that someone new to statistics could use it to select the appropriate hypothesis test.
A hypothesis testing is a statistical inference that uses data from a sample to draw conclusions.
What is hypothesis testing?It should be noted that hypothesis testing simply means a statistical act where an assumption is made regarding a parameter.
In this case, a hypothesis testing is a statistical inference that uses data from a sample to draw conclusions. The null hypothesis predicts no effect while the alternative hypothesis states the research predictions.
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Alan bought 120 pens at the cost of €2 per pen. He sold 72 of them for €2.50 per pen and the remaining at the price of €2 per pen. Find his percentage profit or loss.
Answer:
His profit was 15%
Step-by-step explanation:
120*2€ = 240€
72*2.5€ = 180€
120-72 = 48
48*2€ = 96€
And now a simple proportion:
240€ = 100%
276€ = x
x = (276*100)/240 %
x = 115%
115%-100% = 15%
His profit was 15%
-28;a)__; -20; -16;b)__
help me please
Answer:
It ether -36 or a-28
Find the volume of the solid obtained by rotating the region bounded by the given curves about the line x=−7
y=x^2, x=y^2
Answer:
X=23>45_78
X=2^3< /7= 8
Y= 8x^
comclucion :
coronita pliss
precio antes de impuestos 1563.60 impuesto 5.4%
Answer:
precio antes De impuestos 1563.60 impuestos 5.4%
In a discount basis loan, interest is "pald" at the time the loan is made by deducting the Interest amount from the loan
amount.
“True
False”
Answer:
true
hope that helps
Step-by-step explanation:
Four adults and three childern go to the teater for 74, whereas two adults and five childern are chraged 58. find the price of an adult's ticket and a child's ticket.
Answer:
the price of the adult's ticket is 14 and the price of the child's ticket is 6
Step-by-step explanation:
[tex]let \: x \: = adult \\ y = child \\ 4x + 3y = 74 - - - - 1\\ 2x + 5y = 58 - - - - - 2 \\ multiplying \: - - 2 \: by \: two \\ 4x + 10y = 116 - - - - 3 \\ eqn3 - eqn1 \\ 4x - 4x + 10y - 3y = 116 - 74 \\ 7y = 42 \\ y = \frac{42}{7} \\ y = 6 \\ putting \: the \: value \: of \: y \: into \: eqn2 \\ 2x + 5(6) = 58 \\ 2x = 28 \\ x = \frac{28}{2} \\ x = 14[/tex]
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When K is negative the parabola _____
Answer:
Is shifted downwards
Step-by-step explanation:
K determines where the parabola is on the y axis basically. If the k value was positive it would be shifted upwards and if it was negative it would be shifted downwards.
Luis is proving that the sum of the
measures of the interior angles of a
triangle is 180°. Which statement correctly
completes Luis's proof?
Answer:
Step-by-step explanation:
4. m < 1 + m < 4 + m < 5 = 180
6. The angles of triangle ABC measure 30 degrees, 40 degrees, and 110 degrees. Will
its circumcenter fall inside the triangle, on the triangle, or outside the
triangle? Explain your reasoning.
Answer: Outside the triangle
Step-by-step explanation:
Because one of the angles has a measure greater than 90 degrees, we know that the triangle must be obtuse. Therefore, the circumcenter must fall outside the triangle because in an obtuse triangle, the circumcenter is always located outside of the triangle.
Round your answer to the nearest hundredth.
Answer:
33.69°
Step-by-step explanation:
Hope this helps! Please let me know if you need more help or think my answer is incorrect. Brainliest would be MUCH appreciated. Also remember to rate answers to help other students, While leaving thanks to answers that help you. Have a great day!
Answer:
33.69°
Step-by-step explanation:
Let's take ∡CBA as y
Tan y = [tex]\frac{opposite}{adjacent}[/tex]
= [tex]\frac{6}{9}[/tex]
= 0.6666
y = 33.69°