The probability the cube will land on the letter X and the spinner will land on a number greater than 1 will be 1/4.
What is probability?Its simple notion is that something will most likely occur. The favorable event's proportion to the overall number of occurrences.
The diagram below shows a spinner with numbers 1, 2, 3, and 4 and a fair cube with the letters U, V, W, X, Y, and Z.
Scott will spin the spinner and roll the cube at the same time.
Then the probability the cube will land on the letter X and the spinner will land on a number greater than 1 will be
The probability of getting X will be
Total event = 6
Favorable event = 1
Then
P₁ = 1/6
The probability of getting a number greater than 1 will be
Total event = 4
Favorable event = 3
Then
P₂ = 3/4
Then we have
P = P₁ x P₂
P = 1/6 x 3/4
P = 1 / 4
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unction g is a transformation of the parent tangent function such that
. Which graph represents function g?
A.
The graph shows trigonometric functions intercept the x-axis at minus 3, 0.2, and 3.5 units also pass parallel to the g of the x-axis.
B.
The trigonometric functions intercept the x-axis at minus 4.2, minus 1.1, 2, and 5 units also pass parallel to the g of the x-axis.
C.
The trigonometric functions intercept the x-axis at minus 3.5, minus 0.2, and 3 units also pass parallel to the g of the x-axis.
D.
The trigonometric functions intercept the x-axis at minus 5, minus 2, 1, and 4.2 units also pass parallel to the g of the x-axis.
Answer:
A.
The graph shows trigonometric functions intercept the x-axis at minus 3, 0.2, and 3.5 units also pass parallel to the g of the x-axis.
\(x^{2} \geq \pi \alpha\)
Answer:
x≥√πax≥πa or x ≤−√πa
Step-by-step explanation:
Which statements are true? Select each correct answer. Responses Only some triangles are plane figures. Only some triangles are plane figures. All triangles are polygons. All triangles are polygons. All triangles have 3 right angles. All triangles have 3 right angles. All triangles are closed figures. All triangles are closed figures. All triangles have 3 straight sides.
The three true statements are as follows:
All triangles are polygons.All triangles are closed figures. All triangles have 3 straight sides.What are the true statements?In the list, there are several true statements and some of them include the facts that all triangles are polygons, they are closed figures and they have three straight sides.
A polygon is a shape with two or more sides. Triangles ahve three sides, so we can easily address them as polygons. Also, all triangles are closed figures and they also have three straight sides.
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According to Net Market Share, Microsoft's Internet Explorer browser has 53.4% of the global market. A random sample of 70 users was selected. What is the probability that 32 or more from this sample used Internet Explorer as their browser?
Answer:
Probability that 32 or more from this sample used Internet Explorer as their browser is 0.9015.
Step-by-step explanation:
We are given that according to Net Market Share, Microsoft's Internet Explorer browser has 53.4% of the global market.
A random sample of 70 users was selected.
Let \(\hat p\) = sample proportion of users who used Internet Explorer as their browser.
The z score probability distribution for sample proportion is given by;
Z = \(\frac{\hat p-p}{\sqrt{\frac{\hat p(1-\hat p)}{n} } }\) ~ N(0,1)
where, p = population proportion of users who use internet explorer = 53.4%
\(\hat p\) = sample proportion = \(\frac{32}{70}\) = 0.457
n = sample of users = 70
Now, probability that 32 or more from this sample used Internet Explorer as their browser is given by = P( \(\hat p\) \(\geq\) 0.457)
P( \(\hat p\) \(\geq\) 0.457) = P( \(\frac{\hat p-p}{\sqrt{\frac{\hat p(1-\hat p)}{n} } }\) \(\geq\) \(\frac{0.457-0.534}{\sqrt{\frac{0.457(1-0.457)}{70} } }\) ) = P(Z \(\geq\) -1.29)
= P(Z \(\leq\) 1.29) = 0.9015
The above probability is calculated by looking at the value of x = 1.29 in the z table which has an area of 0.9015.
What is the minimum number of fish in the pond? (Hint: You caught 100 fish both days, but you caught 3 of the same fish twice.)
Answer:
197
Step-by-step explanation:
So, if you catch 100 fish on both days, that means that you have caught 200 fish. 100 on one day and 100 on the next. But, since you've caught 3 fish twice, that means that three out of 200 fish are the same and cannot be counted as new fish. So 3 from 200 is 197 fish. Hope this helped!
Day 1: 100 (3 tagged)
Day 2: 97 (3 tagged)
100+97=197
or
Day 1: 100 (3 tagged)
Day 2: 100 (3 tagged)
100+100= 200
200-3=197
Answer, 197 fish.
Hi, I keep getting 41.7 but it isnt one of the choices :/ GIVING BRAINLIEST TO WHOEVER EXPLAINS FIRST
Answer: 31.7
Step-by-step explanation:
Do 16 plus 15.7 is 31.7 you added wrong.
Answer:
\(31.7\)
Step-by-step explanation:
The perimeter is the line forming the boundary of the figure.
Combining the two curved parts of the perimeter we obtain a circle with a diameter of 5 in. The perimeter (P) of a circle is calculated as follows:
\(P=\pi D\)
where D is the diameter. Then, the perimeter of the curved part is found replacing D = 5 in, as follows:
\(P^{1} =\pi~ .~5\\\)
\(P^{1} = 15.7~ in\)
To find the perimeter of the whole figure we need to add the two straight segments of length 8 in, that is,
\(P=15.7+8+8\\P=31.7\)
Hence the Answer is 31.7
17
Convert into a mixed number.
9
Answer: \(1\frac{8}{9}\)
Step-by-step explanation:
i'm assuming the fraction is \(\frac{17}{9}\) correct? First you would have to find out how many times 9 can be multiplied to get as close to 17. Since it can only go one time, subtract 9 from 17, then add the one next to it which would get you the mixed number of \(1\frac{8}{9}\)
Suppose 72% of students chose to study French their freshman year, and that meant that there were 378 such students. How many students chose not to take French their freshman year?
Answer:
There were 378 students who chose to study French their freshman year. This means that 72% of the total number of students chose to study French their freshman year. Therefore, the total number of students must be 378 / 0.72 = 527.5. This means that there were 148.5 students who chose not to take French their freshman year.
Step-by-step explanation:
Michael has 24 CDs. This is four more than five times the amount that Kathleen has. How many CDs does Kathleen have?
Answer:
5
Step-by-step explanation:
2/7 × - 3/7 = 0 what is the solution for this equation ?
Answer:
Refer to explanation^
Step-by-step explanation:
As stated in the solution, 3/7 is a negative fraction.
To make it less confusing,
2/7 x (-3/7)
Multiply the numerator with the other numerator and the denominator multiply with the other. Like...
2 multiply 3 = 6 (numerator)
7 multiply 7 = 49 (denominator)
Since the 2nd fraction is a negative, the answer is negative too.
If you convert the fraction to a decimal, it gives -0.1224489796
What is the sum of the first 7 terms of the geometric series:
Answer:
-15.875
Step-by-step explanation:
First, we can sum up the first 5 terms.
-8 + (-4) = -12
-12 + (-2) = -14
-14 + (-1) = -15
-15 + (-1/2) = -15.5
Next, we can find a pattern in the data. We can tell that the next number is one half of the current number. For example, -4 is one half of -8. To find the next number, we simply multiply our current number by one half. Thus, the sixth number is -1/4 and the seventh is -1/8. Adding these to our current total, we have
-15.5 - 1/4 = -15.75
-15.5 - 1/8 = -15.875 as our answer
An artist recreated a famous painting using a 6:1 scale. The dimensions of the scaled painting are 24 inches by 36 inches. What are the dimensions of the actual painting?
4 inches by 6 inches
18 inches by 30 inches
30 inches by 42 inches
144 inches by 216 inches
By using scale and prοpοrtiοn, the dimensiοns οf the actual painting are 144 inches² by 216 inches².
What are the scale and prοpοrtiοn?Scale refers tο the relatiοnship between the dimensiοns οf a scaled οbject and the cοrrespοnding dimensiοns οf the οriginal οbject. If an οbject is scaled dοwn tο half its οriginal size, then the dimensiοns οf the scaled οbject will be half οf the dimensiοns οf the οriginal οbject.
Prοpοrtiοn, οn the οther hand, refers tο the relatiοnship between twο οr mοre quantities that have the same ratiο. In οther wοrds, if twο quantities are in prοpοrtiοn, then their ratiο is cοnstant.
Tο find the dimensiοns οf the actual painting, we need tο "undο" the 6:1 scale.
If the scaled painting is 6 times smaller than the actual painting, then the actual painting is 6 times larger than the scaled painting.
Sο we can find the actual dimensiοns by multiplying the scaled dimensiοns by 6:
Actual width = 24 inches x 6 = 144 inches
Actual height = 36 inches x 6 = 216 inches
Therefοre, the dimensiοns οf the actual painting are 144 inches² by 216 inches².
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Julia is expected to spend 30% of her 15-hour week volunteer job doing administrative tasks. How many hours each week is she expected to spend on administrative tasks
Answer:
4 and half i.e 4.5 hours
Step-by-step explanation:
Its simple
To solve this question you just need to find out what is 30% of 15
So \(\frac{30}{100}\)*15 = 4.5
4.5 is the answer we get after we divide (30*15=450) by 100
Which answer choice correctly represents the quotient of 4,232: 21?
A) 21 11/21
B) 200 2/21
OC) 201 1/21
D) 201 11/21
Answer:
B
Step-by-step explanation:
Please can anybody help me with this? A card is randomly selected from a standard 52-card deck. What is the probability of picking a club OR a face card? Answer needs to be in decimal form rounded to two decimal places.
Answer:
0.42
Step-by-step explanation:
To solve the problem, we need to add the probability of picking a club to the probability of picking a face card, and then subtract the probability of picking a club that is also a face card (because we would have counted it twice).
There are 13 clubs in a standard deck, so the probability of picking a club is 13/52 or 0.25.
There are 12 face cards (4 jacks, 4 queens, and 4 kings) in a standard deck, so the probability of picking a face card is 12/52 or 0.23.
However, there are 3 cards that are both clubs and face cards (the jack of clubs, queen of clubs, and king of clubs), so we need to subtract the probability of picking one of those cards. There are 3 of them out of 52 total cards, so the probability of picking a club that is also a face card is 3/52 or 0.06.
Therefore, the probability of picking a club OR a face card is:
0.25 + 0.23 - 0.06 = 0.42 (rounded to two decimal places).
So the answer is 0.42.
Marshall took $36.75 to the fair. Each ticket into the fair cost x dollars. Marshall brought 3 tickets. Which expression represents the amount of money, in dollars, that Marshall has after he brought the tickets?
Answer:
24.50 after he bought the rickets
Step-by-step explanation:
36.75=3x
divide both sides by 3
12.25 = x
then subtract 36.75 - 12.25 = 24.50
hope this helps
f(x)=3x^2+24x+21
Solve for vertex
Show ur work.
Answer:
-4, -27
Step-by-step explanation:
Rewrite in vertex form and use this form to find the vertex
(h,k).
Answer:
(−4,−27)
Step-by-step explanation:
* Get the equation in the form y = ax2 + bx + c.
* Calculate -b / 2a. This is the x-coordinate of the vertex.
* To find the y-coordinate of the vertex, simply plug the value of -b / 2a into the equation for x and solve for y.
Rewrite in vertex form and use this form to find the vertex (h,k).
Vertex is = (−4,−27)
3^4 + 9
6th grade please answer this
.........the answer is 90
Answer:
21
Step-by-step explanation:
The circumference of a circle can be found using the formula c=2pie r. which is an equation solve for r?
Answer:Half of the diameter so d/2 or distance from the midpoint to the circle border
Step-by-step explanation:c=2pie•r^2
Find the coordinates of the center and the measure of the radius for a circle whose equation is (x - 3)^2 + (y - 7)^2 = 2.
A. center = (3,7), radius = √2
B. center = (3,7), radius = 1
C. center = (-3, -7), radius =4
D. center = (-3, -7), radius =1
Answer:
A
Step-by-step explanation:
Equation for a circle of radius r, centered at (h,k):
(x-h)² + (y-k)² = r²
The coordinates of the center and the measure of the radius for a circle given are center = (3,7), radius = √2.
What is a circle?A circle is a shape or a curve in a plane that has a fixed distance, called the radius, from a given point, called the center. A circle is also the set of all points that are equidistant from the center.
Given is an equation of a circle, we need to find coordinates of the center and the measure of the radius for a circle,
The equation of the circle =
(x - 3)² + (y - 7)² = 2
The standard equation for a circle of radius r, centered at (h,k):
(x-h)² + (y-k)² = r²
Comparing both we get,
(h, k) = (3, 7)
r² = 2
r = √2
Hence, the coordinates of the center and the measure of the radius for a circle given are center = (3,7), radius = √2.
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NEED HELP!!! BRAINLIEST!!!
Answer:
5π > 15
Step-by-step explanation:
Testing the First expression:
6/2π > 1
the denominator can be rewritten as:
6 / 6.28 > 1
Which is NOT true since the quotient of 6/6.28 is less than 1
Testing the second expression:
5π > 15
This expression can be rewritten as:
5*(3.14) > 5*3
After dividing both sides by 5, we can clearly see that the equation is true:
3.14 > 3
So, this equation is true
Testing the third Equation:
4π - 2 < 10
We can rewrite this equation as:
4(3.14)-2 < 10
Simplifying the LHS
10.56 < 10
We can see that this equation is NOT true
Testing the Fourth equation:
π + 9 < 12
Replacing the value of pi
3.14 + 9 < 12
12.14 < 12
We can see that this equation is also NOT true
Plzzzzz hellp!!! I’ll give you best answer! This is urgent!
13) h(x) = 4x – 3
g(x)= x2 + x
Find (nºg)(x)
Answer:
A
Step-by-step explanation:
the way you multiply it makes all the numbers negative so it has to be A
Hope this helps! Have a wonderful day :)
Jessica needs to rent a moving truck for one day. She can choose to rent a moving truck from Rentals Plus or from Speedy Move. At Rentals Plus, it costs $5.24 to rent a moving truck for one day, plus $4.46 per mile driven. At Speedy Move, it costs $85.24 to rent a moving truck for one day, plus $0.46 per mile driven. How many miles would Jessica have to drive for the cost to rent a moving truck for one day to be the same at Rentals Plus and Speedy Move?
Jessica would have to drive 20 miles for the cost to rent a moving truck for one day to be the same at Rentals Plus and Speedy Move.
How find how many miles would Jessica have to driveLet's assume the number of miles driven is represented by 'm'. The cost of renting a moving truck for one day at Rentals Plus can be calculated using the equation:
Cost at Rentals Plus = $5.24 + $4.46 * m
Similarly, the cost of renting a moving truck for one day at Speedy Move can be calculated using the equation:
Cost at Speedy Move = $85.24 + $0.46 * m
To find the number of miles that makes the costs equal, we can set up the equation:
$5.24 + $4.46 * m = $85.24 + $0.46 * m
By rearranging the equation, we can solve for 'm':
$4.46 * m - $0.46 * m = $85.24 - $5.24
$4 * m = $80
m = $80 / $4
m = 20
Therefore, Jessica would have to drive 20 miles for the cost to rent a moving truck for one day to be the same at Rentals Plus and Speedy Move.
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Simplify the slope of bd
Answer:
\( \boxed{ - 1}\)Step-by-step explanation:
The co-ordinates of B = ( 0 , a ) ⇒ ( x₁ , y₁ )
The co-ordinates of D = ( a , 0 )⇒( x₂ , y₂ )
Let's find the slope of BD
Slope = \( \mathrm{ = \frac{y2- y1}{x2 - x1} }\)
\( \mathrm{ = \frac{0 - a}{a - 0} }\)
\( \mathrm{ = \frac{ - a}{a} }\)
\( \mathrm{ = - 1}\)
\( \mathcal{HOPE \: I \: HELPED !}\)
\( \mathcal{BEST \: REGARDS !}\)
The equations of the lines shown are y =3/2x+9 and y=3/2-6
Is AOB~COD?
Answer:
Yes
Step-by-step explanation:
The lines are parallel. Alternate angles and vertically opposite angles are equal. True by angle axiom.
The experimental probability that a person in the unites states has a+ blood type is 35.7%. the experimental probability that a person in the united states has the ab- blood type is 0.6%. last week, a blood bank received 224 donations. predict how many more a+ donations the bank received than ab- donations. explain your reasoning.
Answer:
34% more A+ donations because it is the most common type of blood type more than ab
Find the length of the third side. If necessary, round to the nearest
tenth.
URGENT 25 POINTS MATH EQUATION PLEASE NO POINT STEAL!
Answer:
it is diff because o the parentheses
Step-by-step explanation:
Write in the equation for the slope intercept form and please no links or I will report you
Answer:
y = 3/2x + 8
Step-by-step explanation:
using points (-2,5) and (0,8),
we find slope, by using rise/run aka the y's/x's. so 8-5/0--2= 3/2 for slope. (8,0) is an intercept, so b out y=mx +b has been found!
Question 1
For the equation, 9x² - 6x-4 = -5 answer the following questions:
The value of the discriminant is?
There are___roots of the equation.
The polynomial 9 · x² - 6 · x - 4 = - 5 has a discriminant equal to 0 and two same real roots.
What is the discriminant of a quadratic equation and how to use it to determine the nature of roots
Quadratic equations are polynomials of the form:
y = a · x² + b · x + c
Where:
x - Independent variable.y - Dependent variable.a, b, c - Real coefficients.The discriminant is a real number determined by the following formula:
D = b² - 4 · a · c
There are three cases for discriminants:
If the discriminant is negative, then there are two conjugate complex roots.If the discriminant is zero, then there are two equal real roots.If the discriminant is positive, then there are two different real roots.First, write the polynomial in standard form:
9 · x² - 6 · x + 1 = 0
Second, calculate the value of the discriminant:
D = (- 6)² - 4 · 9 · 1
D = 36 - 36
D = 0
The polynomial has two same roots.
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