Answer:
[tex]\sf A) \quad \dfrac{9}{100}[/tex]
Step-by-step explanation:
Given:
3 green marbles4 blue marbles2 red marbles1 yellow marbleTotal number of marbles = 3 + 4 + 2 + 1 = 10
[tex]\sf Probability\:of\:an\:event\:occurring = \dfrac{Number\:of\:ways\:it\:can\:occur}{Total\:number\:of\:possible\:outcomes}[/tex]
Probability of selecting a green marble on first pick:
[tex]\implies \sf P(green\:marble)=\dfrac{3}{10}[/tex]
Probability of selecting a green marble on second pick:
[tex]\implies \sf P(green\:marble)=\dfrac{3}{10}[/tex]
(as the 1st pick was replaced)
Therefore,
[tex]\implies \textsf{P(green marble) and P(green marble)} \sf =\dfrac{3}{10} \times \dfrac{3}{10}=\dfrac{9}{100}[/tex]
b) In one year, Clara and Dave borrowed books from a library in the ratio 3:7. Dave borrowed 35 books. Work out the number of books borrowed by Clara.
3:7 =
3/7
3/7 = x/35
7x = 105
x = 15
answer : clara borrowed 15 books
I think it would be 15, because 3 doesn't go in evenly into 35. You might have the order of the ratio messed up.
How many full cases and additional items are needed to fulfill the order
There are 13 full cases and 2 additional items needed to fulfill the order
How to determine the full cases and additional items?The given parameters are:
Items ordered = 80Items per case = 6The number of cases is:
Case = 80/6
Evaluate
Case = 13 Remainder 2
This means that:
The full case is 13 and the additional item is 2
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If you want to make a comment that won’t be seen in r console (output) use .. what
#
print (“ “)
sum ()
rflip()
simplify the following
Answer:
[tex]-20\sqrt{3}-5\sqrt{2}[/tex]
Step-by-step explanation:
Given expression:
[tex]4 \sqrt{12}-\sqrt{50}-7\sqrt{48}[/tex]
Rewrite 12 as 4 · 3 and 50 as 25 · 2 and 48 as 16 · 3 :
[tex]=4 \sqrt{4 \cdot 3}-\sqrt{25 \cdot 2}-7\sqrt{16 \cdot 3}[/tex]
[tex]\textsf{Apply radical rule} \quad \sqrt{a \cdot b}=\sqrt{a}\sqrt{b} :[/tex]
[tex]=4 \sqrt{4}\sqrt{3}-\sqrt{25}\sqrt{2}-7\sqrt{16}\sqrt{3}[/tex]
As [tex]\sqrt{4}=2[/tex] and [tex]\sqrt{25}=5[/tex] and [tex]\sqrt{16}=4[/tex] then:
[tex]=4 \cdot 2 \sqrt{3}-5\sqrt{2}-7 \cdot 4\sqrt{3}[/tex]
Simplify:
[tex]=8\sqrt{3}-5\sqrt{2}-28\sqrt{3}[/tex]
Collect like terms:
[tex]=8\sqrt{3}-28\sqrt{3}-5\sqrt{2}[/tex]
Combine like terms:
[tex]=-20\sqrt{3}-5\sqrt{2}[/tex]
The table below shows the distribution of votes for Student Government President elections.
1.What is the probability that a junior voted for Dao?
2.Voted for Wolber
3.Votes for Keegan and was from the sophomore class.
Answer:
1 out of 3 people vote for junior
Step-by-step explanation:
Show what you know: work out the problems below and submit a photo of your work to receive full credit.
The Florida A&M Rattlers are decorating campus for homecoming weekend. Students use 3 rolls of orange streamers for every 2 rolls of green streamers for every dorm they decorate.
Draw a model that represents the ratio of different colored streamers.
Draw a model that shows the number of orange and green streamers needed to decorate 3 dorm rooms.
The model for representing the ratio of the number of orange and green rolls are [tex]\dfrac{3}{2}[/tex].
A model that shows the number of orange and green streamers needed to decorate 3 dorm rooms will be 3O=2G
What is ratio?The ratio is defined as the representation of the one number with respect to the other number. or one number is how many times to the other number.
A model that represents the ratio of different colored streamers.
[tex]\dfrac{O}{G}=\dfrac{3}{2}[/tex]
A model that shows the number of orange and green streamers needed to decorate 3 dorm rooms.
D=3O and D=2G
3O=2G
Hence the models are [tex]\dfrac{O}{G}=\dfrac{3}{2}[/tex] and 3O=2G.
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What is the equation of the circle with a radius of 7 and center at (6, -5)?
A (x + 6)2 + (y - 5)2 = 49
B (x - 6)2 + (y + 5)2 = 7
C (x + 6)2 + (y - 5)2 = 7
D (x - 6)2 + (y + 5)2 = 49
Answer:
D is the equation of the circle
Please help me fill out the blanks.
Answer:
Acute angle : 30* Obtuse angle : 120*
Step-by-step explanation:
Hope this helps :)
Answer:
acute angle- less than 90 degrees
obtuse angle- 120 degrees
Step-by-step explanation:
Two of the angles in a triangle measure 57º and 25°. What must be the measure of the
third angle?
The measure of the third angle is
Plssss i need the answer
The measure of the third angle in the triangle is 104 degrees
How to determine the measure of the third angles?Let the three angles in the triangle be x, y and z.
Such that:
x = 51
y = 25
The sum of angles in a triangle is 180 degrees.
So, we have:
x + y + z = 180
Substitute known values
51 + 25 + z = 180
Evaluate the sum
76 + z = 180
Subtract 76 from both sides
z = 104
Hence, the measure of the third angle is 104 degrees
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Suzy drove to a hair appointment at 50mph. Her average speed on the return home was 40mph. The return home took 1/4hr longer because of heavy traffic. How far did she travel to her hair appointment?
Since Suzy return took 1/4 hr longer, how far Suzy travelled to her appointment is 50 mi
To answer the question, we need to know what distance travelled by Suzy is
Distance between Suzy's home and hair appointmentThe distance between Suzy and her appointment is d = vt where
v = Suzy's speed = 50 mph and t = time it takes to teach her appointment.So, d = 50t (1)
Now, since Suzy returns home at a speed of v' = 40 mph and takes her 1/4 hr longer to return home,her return time is , t' = (t + 1/4) h
Since the distance she ruturns home is the same, we also have that
d = v't'
= 40(t + 1/4) (2)
Equating (1) and (2), we have
50t = 40(t + 1/4)
50t = 40t + 10
50t - 40t = 10
10t = 10
t = 10/10
t = 1 hr
How far Suzy travelled to her appointmentSubstituting t = 1 into d = 50t, we have
d = 50(1)
d = 50 m
So, how far Suzy travelled to her appointment is 50 mi
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what is the measurement of angle c
Answer: 29
Step-by-step explanation:
all triangles equal to 180
180-97-54=29
Lorena paid $450 for a sneaker and there is a 9% advertised discount. What is the discount price?
Answer:
$40.50
Step-by-step explanation:
9% of 450 is 40.5
I don’t understand and I need the answer
Answer:
y2 + 2y + 80
Step-by-step explanation:
Hope this helpd :) Mark brainliest?
Answer:-21
Step-by-step explanation:
-21 i think but im pretty sure
4x4 y3 + v y + 7
Leading term:
Leading coefficient:
Constant term:
Answer:
Leading term: 4x⁴y³
Leading coefficient: 4
Constant term: 7
The leading term contains the highest degree and power of variable.The leading coefficient is the number written in front of the variable with the largest exponent.The constant term is the simplified number written where there are no variables.Answer:
Leading terms : 4x⁴y³
Leading co-efficient: 4
Constant: 7
Step-by-step explanation:
Leading term: Leading term is the term that holds the highest degree of the polynomial.
Leading co-efficient is the coefficient of the leading term.
Constant term is the term without any variable
Find the area of the figure. Round to the nearest hundredth where necessary.
22 ft
30 ft
The mean weight of college students is 154 lbs and the standard deviation is 3 lbs.
Assuming that the weight is normally distributed, determine the following percentages.
145 148
151
154 157 160 163
DO NOT write % in the box. It is already written outside the box for you"
The percentage of college students who weigh...
30
1)...less than 157 is
%
2) greater than 148 is
3)...between 145 and 160 is
%
%
Answer:(approx) 6.
Step-by-step explanation:Here μ=51 and σ=15
Z=
σ
X−μ
=
15
X−151
When X=120, Z=
15
120−151
=−2.067
When X=155, Z=
15
155−151
=0.2667
When X=185, Z=
15
185−151
=
15
35
=2.2667
(i) P(120<X<155)=P(−2.07<Z<0.27)
=∫
−2.067
0.2667
ϕ(z)dz=∫
0
0.2667
ϕ(z)dz+∫
0
2.0667
ϕ(z)dz
=0.4803+0.1026=0.5829.
Here N=500
∴ The number of students whose weight is between 120 and 155 pounds is
0.5872×500=291
(ii) P(X<185)=P(Z>2.27)=∫
2.2667
∞
ϕ(z)dz
=∫
0
∞
ϕ(z)dz−∫
0
2.2667
ϕ(z)dz=0.5−0.4881=0.0119
∴ the number of students with weight about 185 pounds.
=0.0119×500= (approx) 6.
I need to solve for X
Answer:
x = 10.5
Step-by-step explanation:
Intersecting chord theorem : If two chords intersect within a circle then the product of the measures of the segemnts made up of the chords are equal to each other.
For more reference to this, kindly view the attatched image.
Applying this theorem we would create an equation which would be 2 × x = 7 × 3
We then solve for x
2 × x = 7 × 3
==> simplify both sides
2x = 21
==> divide both sides by 2
x = 10.5
Please help asap! Thanks
[tex]y=f(x)= \dfrac x 3 \\\\\text{Replace x with y and then solve for y,}\\\\~~~~x = \dfrac y 3\\\\\implies y = 3x \\\\\implies f^{-1}(x) =3x[/tex]
Simplify the equation √-42×√-30
Answer:
-6 [tex]\sqrt{35}[/tex]
Step-by-step explanation:
Answer:
[tex]6\sqrt{35}i[/tex]
Step-by-step explanation:
Make up a question that you need to use 6 fractions to solve! It needs to involve subtraction. It can involve addition too.
Answer:
6/4-3/2(12/8+27/4)9/8x30/12=
Points J, Q, K, and l are on the given circle. If Arc KL measures 120 degrees, and Angle KML measures 98 degrees, what is the measure of Arc JQ?
The value of the measure of Arc JQ from the given task content is; 142⁰.
What is the measure of Arc JQ?The measure of Arc JQ can be evaluated by establishing a fact that; the total angle measure in a circle by convention is; 360⁰.
On this note, it follows that the measure of Arc JQ is; 360 - 120 - 98 is; 142⁰.
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Find the area of this semi-circle with diameter,
d
= 11cm.
Give your answer rounded to 2 DP.
205000 seconds to a year
Answer:
theres 31536000 seconds in a year
Answer:
0.0065 calendar year
Step-by-step explanation:
How many seconds makes a year?
it is 31,536,000 seconds
for an approximate result, divide the time value by 3.154⁷
therefore 205000/3.154⁷
=0.00649
=0.0065
Find the volume of the rectangular prism.
8 cm
10 cm
2 cm
10 cm
OA. 160.5 cm³
B. 182.4 cm³
Oc. 181.4 cm³
D. 160 cm³
2 cm
Answer:
volume= lxbxh= 10*8*2= 160 cm3
NO LINKS!! Please help me with this graph. Part 2
[tex]\large{\boxed{\sf y = \dfrac{2}{3} | x -6|- 7}}[/tex]
Explanation:Absolute value of a graph formula:
y = a |x -h| + kIdentify the vertex : (h, k) = (6, -7)
Take two points: (6, -7), (9, -5)
[tex]\sf Find \ slope \ (a) : \sf \ \dfrac{y_2 - y_1}{x_2- x_1} \ = \ \ \dfrac{-5-(-7)}{9-6} \ = \ \ \dfrac{2}{3}[/tex]
Join them to build the equation: [tex]\bf{y = \dfrac{2}{3} |x - 6| - 7}[/tex]
Answer:
[tex]g(x)=\dfrac{2}{3}|x-6|-7[/tex]
Step-by-step explanation:
Translations
For [tex]a > 0[/tex]
[tex]f(x-a) \implies f(x) \: \textsf{translated}\:a\:\textsf{units right}[/tex]
[tex]f(x)-a \implies f(x) \: \textsf{translated}\:a\:\textsf{units down}[/tex]
[tex]y=a\:f(x) \implies f(x) \: \textsf{stretched parallel to the y-axis by a factor of}\:a[/tex]
-----------------------------------------------------------------------------------------
Parent function: [tex]f(x)=|x|[/tex]
[tex]f(0)=|0|=0 \implies \textsf{The vertex of the parent function is at (0, 0)}[/tex]
From inspection of the graph, the vertex of the transformed function is at (6, -7). Therefore, there has been a translation of:
6 units right7 units down[tex]\textsf{6 units right}\implies f(x-6) =|x-6|[/tex]
[tex]\textsf{and 7 units down}\implies f(x-6)-7=|x-6|-7[/tex]
From inspection of the graph, we can see that it has been stretched parallel to the y-axis:
[tex]\implies a\:f(x-6)-7=a|x-6|-7[/tex]
The line goes through point (0, -3)
Substituting this point into the above equation to find [tex]a[/tex]:
[tex]\implies a|0-6|-7=-3[/tex]
[tex]\implies 6a=4[/tex]
[tex]\implies a=\dfrac{2}{3}[/tex]
Therefore,
[tex]\implies g(x)=\dfrac{2}{3}|x-6|-7[/tex]
Which of the following are solutions to the inequality below? Select all that apply.
8 ≤ j j = 12 j = 5 j = 6 j =11
Answer:
j = 11
j = 12
Step-by-step explanation:
The inequality:
8 ≤ j
We will test all the options given.
-> In short, all options greater or equal to 8 will be solutions.
j = 12
8 ≤ j
8 ≤ 12 ✓
-
j = 5
8 ≤ j
8 ≤ 5 ✗
-
j = 6
8 ≤ j
8 ≤ 6 ✗
-
j =11
8 ≤ j
8 ≤ 11 ✓
Step 1: –10 + 8x < 6x – 4
Step 2: –10 < –2x – 4
Step 3: –6 < –2x
Step 4: ________
What is the final step in solving the inequality –2(5 – 4x) < 6x – 4?
x < –3
x > –3
x < 3
x > 3
x > 3
Step-by-step explanation:
The final step in solving the inequality –2(5 – 4x) < 6x – 4 is
-6/-2 < x = 3 < x
Ask an expert 2+3/10X>=13/20 Solve for inequality Thanks!
Answer:
The answer is in the picture.
Step-by-step explanation:
[tex]2+\frac{3}{10x}\geq\frac{13}{20} \\\\\frac{3}{10x}\geq\frac{13}{20} -2 \\\\\frac{3}{10x}\geq\frac{13}{20} -\frac{40}{20} \\\\\frac{3}{10x}\geq-\frac{27}{20} \\\\3\geq-\frac{27}{20}*10 x \\\\3\geq-\frac{270}{20} x\\\\3\geq-\frac{27}{2} x \\\\3*-\frac{2}{27} \leq x\\\\-\frac{6}{27} \leq x\\\\-\frac{2}{9} \leq x[/tex]
Also x cannot equal to 0 if you plug in into the original equation the answer is indefinite/not solution.
8th grade distributive property equations and solutions
The value of x will be given as for the given expression X = -1
What is an expression?Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication and division
2x + 12 = 10
2x = 10 - 12
2x = -2
x = -1
first you distribute 2 to x and 6 which equals 2x+12=10 then you subtract 12 from 10 which equals 2x=-2 then divide -2 by 2x to see what x equals so x=-1
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Which is true about the line whose equation is y + 3 = 0?
The slope is 3.
The y-intercept is 3.
The slope is zero.
The value of x always equals the value of y.
Answer:
The slope is 0
Step-by-step explanation:
Solve the equation for y
y+3=0
y = -3
The slope intercept form is
y = mx+b
where m is the slope and b is the y intercept
y = 0x-3
The slope is 0 and the y intercept is -3
Answer: The Slope Is 3
Step-by-step explanation:
You are missing the x after the 3.
considering the linear equation y=mx+b, the coefficient of x is ALWAYS the slope (rate of change)
