Answer:
3/5
Step-by-step explanation:
Concepts + Application + Solution
We can write the probability of this event happening like this:
(number of prime numbers)/(total number of sections)For recap, a prime number is a number that's greater than 1 whose only factors are 1 and itself. Take the number 7 for example; its factors are only 7 and 1.
Given this information above, let's find the prime numbers in the spinner.
1: not prime (not greater than 1)2: prime3: prime4: not prime (divisible by 2)5: primeAs you can see, we have 3/5 numbers that are prime, making the probability of landing on a prime number 3/5.
Given the data below which set of numbers contains the lower quartile median and upper quartile help fast please !!
Answer:
{27.5, 29, 34}.
Step-by-step explanation:
In order they are
24 27 28 28 29 31 32 36 38
The Median = middle value = 29.
Lower quartile = mean of 27 and 28 = 27.5.
Upper quartile = mean of 32 and 36 = 34.
Answer:
{27.5, 29, 34}
Step-by-step explanation:
Arrange in increasing order :
24, 27, 28, 28, 29, 31, 32, 36, 38Lower Quartile :
24 + 27 + 28 + 28 / 4107/426.75 ≈ 27.5 (closest based on options)Median :
5th term29Upper Quartile :
31 + 32 + 36 + 38 / 4137/434.25 ≈ 34The square below represents one whole.
What percent is represented by the shaded area?
Answer:
0.85.Step-by-step explanation:
We know that:
this grid is 1 whole.We don't know:
how much is shaded in.Let's count up by tenths:
0.10.20.30.40.50.60.70.8It suddenly stops at 0.8.
Let's count up by hundredths:
0.810.820.830.840.85It stops at 0.85.
0.85 is your answer.
Can you guys help me find x and y
x -2y =-3
8x -6y =16
-2y -2y = 20
x - 7y = 14
Step-by-step explanation:
x - 2y = -3,____1 , 8x - 6y = 16____ 2
x - 2y = -3
x = 2y -3 ____ equation 3
eqn 3 in 2
2=> 8x - 6y = 16
8(2y-3) - 6y = 16
16y - 24 - 6y = 16
10y = 16 + 24
10y = 40
y = 40 / 10
y = 4
y=4 in eqn 3
3=> x = 2y - 3
x = 2(4) - 3
x = 8 - 3
x = 5
x = 5 , y = 4
-2y-2y = 20 , x - 7y = 14___ 1
-2y-2y = 20
-4y = 20
y = 20/ -4
y = -5
y = -5 in eqn 1
1=> x - 7y = 14
x - 7(-5) = 14
x - (-35) = 14
x + 35 = 14
x = 14 - 35
x = -21
x = -21 , y = -5
Graph the equation
x - y= -4
Answer:
y=x+4
Step-by-step explanation:
y intercept should be at positive 4 and a straight line going in the positive direction
7. From a point on the ground, the angles of elevation of the bottom and the top of a transmission tower fixed at the top of a 20 m high building are 45° and 60° respectively as shown in Figure 3. Find the height of the transmission tower.
Answer:
Let DC be the tower and BC be the building. Then,
∠CAB=45
o
,∠DAB=60
o
,BC=20 m
Let height of the tower, DC=h m.
In right △ABC,
tan45 o = AB/BC
1=20/AB
AB=20m
In right∆ABD,
tan 60°=BD/AB
√3=h+20/20
h=20(√3-1)m
write 8.31752 to correct 3 decimal places
Answer:
8.318
Step-by-step explanation:
writing a number in three decimal places means writing the number in a way that there will be three digits in the number after the decimal point.
to three decimal places= 8.318
Given: RT || SP, RQ ≅ QP, RP bisects ST at Q
Prove: ΔRQT ≅ ΔPQS
Triangles R Q T and P Q S are connected at point Q. Lines R T and S P are parallel. The lengths of lines R Q and Q P are congruent.
Tamir is working to prove the triangles congruent using SAS. After stating the given information, he states that TQ ≅ QS by the definition of segment bisector. Now he wants to state that ∠RQT ≅ ∠PQS. Which reason should he use?
alternate interior angles theorem
corresponding angles theorem
linear pair postulate
vertical angles theorem
Answer: vertical angles theorem
Step-by-step explanation:
Kaye will compute for the area of a circle using the formula A=π×r2.If given is the diameter of a circle , what should be computed first?
Answer:
Find the radius.
Step-by-step explanation:
The task is to solve for area of a circle, and you are given the diameter.
The formula for area is :
Area of a circle = π × (radius)²
In this formula, there is only one input value, and that is the radius.
To find the radius, you must know the relation :
Radius x 2 = Diameter
Hence, the radius must be computed first and foremost.
ladder reaches a window 18 ft high,
and makes a 64 angle with the
ground. How long is the ladder?
Round your ancun
Using trigonometric ratio, the length of the ladder that reached the window is 20.03 feet
What is an equation?
An equation is an expression that shows the relationship between two or more numbers and variables.
Trigonometric ratio is used to show the relationship between the sides and angles of a right angled triangle.
Let l represent the length of the ladder, using trigonometric ratio:
sin(64) = 18/l
l = 20.03 feet
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(100 points)Match each graph on the left with the functions on the right
Answer:
See below ~
Step-by-step explanation:
Graph 1 : y = -3x + 3
Graph 2 : y = 6x + 6
Graph 3 : y = 6x + 9
Graph 4 : y = -7x + 1
Recall slope intercept form of a line
y=mx+bwhere b is y intercept
Whatever m be b is constant for line .
So we can find the equations through y intercepts
#1
y intercept near 5 but beneath 5The most probable according to our options is 3
So equation is
y=-3x+3#2
Y intercept just over 5 .It must be 6
y=6x+6#3
y intercept around 10
.Most probable according to options is 9
y=6x+9#4
Just above the origin the y intercept is present.
y=-7x+1Figure 1 is similar to figure 2. What is the height of figure 1?
4x 2x
x+1 x
A.1 Units
B.2 Units
C.8 Units
D.4 Units
The calculated value of the height of figure 1 is (d) 4 units
How to calculate the height of figure 1?from the question, we have the following parameters that can be used in our computation:
The figures
The figure 1 is similar to figure 2
So, we have
4x/(x + 1) = 2x/x
When evaluated, we have
4x = 2x + 2
So, we have
2x = 2
Evaluate
x = 1
This means that
Height = 4 * 1
Evaluate
Height = 4
Hence, the height of figure 1 is 4 units
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Select the correct answer from each drop-down menu. the expression above can also be written in the form . for this expression, a = , b = , and c = .
The value of a, b and c from the given expression above are 15, 1 and 4 respectively
Indices expressionIndices are written in form of exponential expression. Given the expression
[tex]\sqrt[4]{15}[/tex]
We are to write the expression in the form
[tex]a^{b/c}[/tex]
This is simplified as shown
[tex]\sqrt[4]{15}= 15^{1/4}[/tex]
Compare both expression
a = 15
b = 1
c = 4
Hence the value of a, b and c from the given expression above are 15, 1 and 4 respectively
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My friend recently proved 0=1 and i know something is wrong but i dont know what
√a × √b = √ab
only if at atleast one among a,b is positive
here both a,b is non negative so not possible
Step-by-step explanation:
Remember when expanding radicals,
[tex] \sqrt{ab} = \sqrt{a} \times \sqrt{b} [/tex]
When expanding radicals into two radicals, we don't let our radicand have two negative answers.
[tex]i = \sqrt{ - 1} [/tex]
[tex] {i}^{2} = - 1[/tex]
We don't do this
[tex] (\sqrt{ - 1} ) {}^{2} = \sqrt{ - 1 \times - 1} [/tex]
[tex] - 1 = \sqrt{1} [/tex]
[tex] - 1 = 1[/tex]
11. Using the triangle below, set up and solve
an equation in order to find the value of x.
Answer:
x = 27.4
Step-by-step explanation:
[tex]\sf \angle Q+ \angle R+ \angle S=180^{o} [/tex]
[tex]\sf 34.6 + 118 + x = 180[/tex]
Add 34.6 and 118 = 152.6
[tex]\sf 152.6+x=180[/tex]
Subtract 152.6 from both sides.
[tex]\sf x=180 - 152.6[/tex]
Subtract 152.6 from 180 = 27.4.
Therefore, the missing angle "x" is 27.4.
can someone do this for me please?! Just the answer pls
Step-by-step explanation:
1: MD = 17.621
VD = 27.41
2:
60 degrees
3: sinC
What is the Slope-Intercept form of the equation of a line that passes through the point (5,-3) and is parallel to the line y = 2x +3?
Answer:
y = 2x + 7
Step-by-step explanation:
PLS ANSWER FAST TYYYYYSMMM!!!
Answer:
option 3, [tex]972\pi in^{3}[/tex]
Step-by-step explanation:
The formula to find the volume of a sphere is [tex]\frac{4}{3} \pi r^{3}[/tex]
where r os the radius
given: diameter = 18in
radius = diameter / 2
radius = 18 / 2
r = 9in
Plug in radius:
[tex]\frac{4}{3} \pi (9)^{3}\\\\\frac{4\pi (9)^{3}}{3} \\\\Factor (9)^{3}: (3)^{6}\\\\\frac{(3)^{6} * 4\pi }{3} \\\\[/tex]
cancel common factor: 3
[tex]3^{5} * 4\pi \\3^{5} = 243\\243 * 4\pi\\972\pi[/tex]
Let me know if you have any questions !
help!
Giving brainiest
Answer:
1) 9y^10
2) 560u^16 v^15
Step-by-step explanation:
Please help me solve the value of H for +10 points.
Answer:
133°
Hope this helps!!!
What is the median of the data set represented by the plot?
Answer:
5
Step-by-step explanation:
It's in the middle of all the numbers
If you do need a more in-depth explanation just comment under here and I'd be happy to show you how I did it :)
PLEASE HURRY, 100 POINTS!!
Another common bet in roulette is on the number being even or odd (not including 0 or 00). If the wheel is spun once, what is the probability of the outcome being an odd number?
Answer:
9/19 or 47.4% (nearest tenth)
Step-by-step explanation:
A roulette wheel is numbered 1 to 36 with 0 and 00.
Therefore, there is a total of 38 evenly-spaced pockets.
The number of odd numbers from 1 to 36 is 18
(1, 3, 5, 7, 9, 11, 13, 15, 17, 19, 21, 23, 25, 27, 29, 31, 33, 35)
[tex]\sf Probability\:of\:an\:event\:occurring = \dfrac{Number\:of\:ways\:it\:can\:occur}{Total\:number\:of\:possible\:outcomes}[/tex]
[tex]\implies \textsf{Probability of odd number}= \sf \dfrac{18}{38}=\dfrac{9}{19}=47.4\%[/tex]
Roulette wheel contains 1 to 36 numbers excluding 0 and 00
Total nos =38Total odd nos
{1,3,5,7,9,11,13,15,17,19,21,23,25,29,31,33,35}
Total=18Probability
18/389/19find the value of x.
Answer:
74 I believe
180 - 32 = 148
148/2 = 74
Hope this helps!
Answer:
[tex]x + x + 32 = 180(sum \: of \: inside \: the \: triangle \: is180) \\ 2x = 180 - 32 \\ x = \frac{148}{2} \\ x = 74[/tex]
Sam is doing a project about pets. what is an example of a statistcal question he could write about the topic
An example of a statistcal question that Sam could write about is the weight of the members of a sample of 100 dogs.
What is statistical question?Statistical question can be regarded as the question that needed alot of data processing before one can answer it.
When choosing a Statistical question, one should know that it will involve collection of data for processing such as classification of the pet base on their weights.
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Bridget can type 2400 words in 40 minutes.
Krutika can type 2750 in 50 minutes.
Jim can type 3500 words in 70 minutes.
Who types at the fastest rate of words per minute?
Answer:
bridget types at the fastest rate as he can type 60 words per minute
Find the probability of each event.
A fair coin is flipped ten times. What is
the probability of the coin landing tails up
at least nine times?
Using the binomial distribution, it is found that there is a 0.0108 = 1.08% probability of the coin landing tails up at least nine times.
What is the binomial distribution formula?The formula is:
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
The parameters are:
x is the number of successes.n is the number of trials.p is the probability of a success on a single trial.In this problem:
The coin is fair, hence p = 0.5.The coin is tossed 10 times, hence n = 10.The probability that is lands tails up at least nine times is given by:
[tex]P(X \geq 9) = P(X = 9) + P(X = 10)[/tex]
In which:
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 9) = C_{10,9}.(0.5)^{9}.(0.5)^{1} = 0.0098[/tex]
[tex]P(X = 10) = C_{10,10}.(0.5)^{10}.(0.5)^{0} = 0.001[/tex]
Hence:
[tex]P(X \geq 9) = P(X = 9) + P(X = 10) = 0.0098 + 0.001 = 0.0108[/tex]
0.0108 = 1.08% probability of the coin landing tails up at least nine times.
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The triangle below is equilateral. Find the length of side X in simplest radical form with a rational denominator.
Answer:
kinda hard
Step-by-step explanation:
h² = c² + c²
([tex]\sqrt{11}[/tex])² = ([tex]\sqrt{11}[/tex]/2)² + x²
x² = ([tex]\sqrt{11}[/tex])² - ([tex]\sqrt{11}[/tex]/2)²
answer: x = [tex]\sqrt{11}[/tex] - [tex]\sqrt{11}[/tex]/2
Pleaseee helppp???????
Answer:
240
Step-by-step explanation:
see photo for solution
Equivalent fractions for 6/11 and 5/12 using the common denominator
well, the cheap answer is, simply multiply the top and bottom of one fraction by the other fractions denominator, Check the picture below.
Please help giving 80 points
Graph the function on the coordinate plain
A)what are the x intercepts
B)what is the y intercepts
C)what is the maximum and minimum value
Answer:
X Intercepts: (2, 0), (-6, 0),
Y Intercepts: (0, – 12)
minimum: (-2,-16)
Step-by-step explanation:
A) what are the x intercepts
X- axis interception points of x²+ 4x– 12:
(2,0), (-6,0)
B)what is the y intercepts
Y-axis interception point of x² + 4X – 12:
(0, – 12)
X Intercepts: (2, 0), (-6, 0), Y Intercepts: (0, – 12)
C)what is the maximum and minimum value
Parabola equation in polynomial form
The parabola params are:
a=1, b=4,c= -12
xv= -b/2a
xv= -4/2.1
simplify
xv=-2
Plug in xv = -2 to find the yv value
yv= -16
Therefore the parabola vertex is (-2, – 16)
If a<0. then the vertex is a maximum value
If a>0. then the vertex is a minimum value
a=1
minimum=(-2,-16)
What weight would give a newborn a z-score of −0.75? grams
Using the normal distribution, it is found that a weight of 3125 grams would given a newborn a z-score of −0.75.
Normal Probability DistributionThe z-score of a measure X of a normally distributed variable with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex] is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The z-score measures how many standard deviations the measure is above or below the mean. Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.Researching the problem on the internet, it is found that the mean and the standard deviation for the weight of newborns is given as follows:
[tex]\mu = 3500, \sigma = 500[/tex]
Hence, the weight associated with Z = -0.75 is given by X:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]-0.75 = \frac{X - 3500}{500}[/tex]
X - 3500 = -0.75(500)
X = 3125.
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