A student is selected at random. What is the probability, as a decimal rounded to the nearest
thousandth, that the selected student is going on the field trip given that the student is an eleventh
grader?
Answers
Answer:
0.245
Step-by-step explanation:
Probability is the chance or likelihood that an event will occur.
Probability = Expected outcome of event/Total outcome of event
Since we are to find the probability that the selected student is going on the field trip given that the student is an eleventh
grader;
The expected outcome of event will be 13 as located on the table.
Total outcome of event will be the total number of students that went for the field trip.
Total outcome = 12+9+13+19
Total outcome of event = 53
Probability = 13/53
Probability = 0.245(to nearest thousandth)
Related Questions
I'LL MAKR U BRAINLIEST AND GIVE YOU 50 POINTS IF YOU ANSWER THIS ASAP PLEASEEE! THANK U SO MUCH! PIC IS INCLUDED.
Answers
Answer:
15 containers
Step-by-step explanation:
If the circus sells an average of 28,200 grams of peanuts you can expect that it would be close to that number again, it is equal to 28.2 kilograms. Since it only ships in 2 kilogram containers then you would want to buy 15 of them since 15*2=30, which is above what we need.
Answer:
15 I think
Step-by-step explanation:
How can you construct three-dimensional figures
from different views?
Answers
Answer:
Yes
Step-by-step explanation:
Final answer:
To construct three-dimensional figures from different views, one must employ orthographic drawing techniques, which include selecting a vanishing point and systematically drawing construction lines to create depth.
Explanation:
Constructing three-dimensional figures from different views is a skill often associated with orthographic drawings. This process allows you to visualize an object as if you were viewing it from multiple perspectives, ultimately creating a three-dimensional representation. The steps to follow are quite systematic:
Begin by drawing one face of the cube. Select a suitable vanishing point.
Draw faint construction lines from each corner of the cube face to the vanishing point to establish depth.
Next, draw horizontal and vertical lines for the back face of the cube, ensuring that each corner connects with the corresponding construction line.
Finally, outline the shape of the cube with darker lines to make it distinct.
With practice, you'll develop the ability to 'see' the three dimensions in the drawing. Visualizing three-dimensional figures can also be enhanced by using models or multiple photographs, as not all details can be captured from a single angle. Three-point perspective, where vanishing points are placed above and below the horizon line, can also aid in this visualization process.
Which number is a common factor of 27 and 45?
Answers
Answer:
solution given:
1st expression=27=3×3×3
2nd expression=45=5×3×3
here
common factor =3×3=9
What graph equation is parallel to the graph 8x - 2y = 30?
Answers
Answer:
Any graph with the same slope but with different y intercepts is parallel to that. For example in y = mx + b form the equation will be
y = 4x - 15
So, some equations that will be parallel
y = 4x
y = 4x - 16
y = 4x +3
Hoped this helped ya :)
Answer:
y=4x-5
Step-by-step explanation:
First step is to turn the given equation into slope intercept form y=mx+b.
The goal is to isolate y: first subtract 8x from both sides and to completely simplify the equation divide by -2 on both sides:
8x-2y=30
-2y=-8x+30
y= -8/-2x + 30/-2
y=4x-15
** when adding a negative, it's the same as subtracting, so I just changed it
Now you have your equation, we want to focus on the slope. If two equations have the same slope, they won't ever intersect bc they grow at the the same rate.
Use this equation: y=4x+b and bc you're trying to find the equation of another line, pick an ordered pair (it doesn't matter what it is) and plug it into x and y to solve for b (the y-intercept) in order to fulfill y=mx+b
I'm using (2,3):
3=4(2)+b
3=8+b
-5=b
Now you have b, plug it back into y=4x+b (omit the coordinates you put in) and you'll get:
y=4x-5 as your answer
Find the volume of the cylinder. Round your answer to the nearest tenth. Use 3.14 for a.
6 in.
14 in.
The volume of the cylinder is about||
in?
Answers
Radius = 14/2 = 7 inches
Volume = [tex]\pi r^{2} h[/tex] = 3.14 x 7 x 7 x 6 = 923.16 = approx. 923.2 cubic inches
Helppppppppppp meeeee
Answers
Answer:
3/8 (D)
Step-by-step explanation:
15 11th grader's favorite class is science. There are a total of 40 11th graders. That makes the probability 15/40 = 3/8 = D
Find the derivative of f(x) = 6 divided by x at x = -2.
6
3/2
-3/2
-6
Answers
Answer:
f(x) = 6/x
f'(x) = -6/x²
f'(-2) = -6/4 = -3/2
Help? I’m not really understanding this.
Answers
Answer:
x = 109
Step-by-step explanation:
[tex](x + 12) \degree + 59 \degree = 180 \degree \\ (sum \: of \: exterior \: angles \: on \: same \: side \: \\ of \: transversal) \\ (x + 71) \degree = 180 \degree \\ x + 71 = 180 \\ x = 180 - 71 \\ \purple{ \bold{ x = 109}}[/tex]
Matias' stepmother uses a 30%-off coupon to buy the ingredients for huevos rancheros.
She spends $28.
» What is the regular price, r, of the ingredients before the discount?
Enter the amount
Answers
Answer:
$40Step-by-step explanation:
To determine the regular price r of the ingredients before the discount, we have to consider that $28 represents 70% of the regular price as this amount has a 30% discount and with that, find the price that represents 100%:$28 → 70% r ← 100%r=($28*100%)/70%= $40The regular price r of the ingredients before the discount is $40.The regular price, r of the ingredients before the discount is $40.
What is Percentage?Percentage is defined as the parts of a number per fraction of 100. We have to divide a number with it's whole and then multiply with 100 to calculate the percentage of any number. So the percentage actually means a part per 100.
Percentage is usually denoted by the symbol '%'.
Amount spent by Matias' stepmother to buy the ingredients for huevos rancheros = $28
This is the discounted price after a 30% off discount.
Let the regular price be x.
x - (30% of x ) = 28
x - (0.3 x) = 28
0.7x = 28
x = 28 / 0.7
x = 40
Hence the original price of the items is $40.
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Below is the graph of y=b?. Find b.
b =
DONE
Answers
The value of b in the given equation is 2.
What is an exponential function?An exponential function in mathematics can be defined as a mathematical function is in form f (x) = aˣ, where “x” is the variable and where “a” is known as a constant which is also known as the base of the function and it should always be greater than the value zero.
Given is graph, we need to determine the value of b in the y = bˣ,
Here as we can see, that the curve has a base at -2,
Therefore the equation of the graph will be y = 2⁻ˣ
Hence, the value of b in the given equation is 2.
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The first table that Cory designs will seat 8 people. If the diameter is 5 feet, what is the area? The area in terms of pi is Pi ft2. Approximating 3.14 for Pi, the area rounded to the nearest tenth is ft2.
Answers
The area of a circle with a diameter of 5 feet is calculated using the formula A = πr². Halving the diameter to find the radius, then squaring it, multiplying by π (approximated as 3.14), and rounding to the nearest tenth, gives an area of 19.6 ft².
Explanation:The student's question involves finding the area of a circle with a given diameter where the circle is the table's top designed by Cory. To find the area, one must use the formula A = πr², where A is the area, π (pi) represents the mathematical constant approximately equal to 3.14, and r is the radius of the circle.
Since the diameter of the table is 5 feet, the radius will be half of that, which is 2.5 feet. Plugging this into the formula, we get A = π(2.5²) or A = π(6.25). Assuming π as 3.14, we approximate the area to 19.6 ft² after rounding to the nearest tenth.
Final answer:
To find the area of Cory's circular table with a 5-foot diameter, we calculate the radius as half the diameter (2.5 feet) and use the area formula A = πr² to get approximately 19.6 square feet when using 3.14 for pi.
Explanation:
The question asks us to find the area of a circular table that Cory designs, which seats 8 people and has a diameter of 5 feet. To calculate the area of a circle, we use the formula A = πr², where 'A' is the area, 'π' (pi) is a mathematical constant approximately equal to 3.14, and 'r' is the radius of the circle.
First, we need to find the radius, which is half of the diameter, hence the radius is 5 feet / 2 = 2.5 feet. Using the formula, the area in terms of pi is A = π(2.5 ft)². When we approximate π as 3.14, the area rounded to the nearest tenth in square feet is 3.14 * (2.5 ft)² = 19.625 ft², which can be rounded to 19.6 ft².
Does the point (2,76) lie on the circle shown? Explain.
Yes, the distance from (3, 0) to (0, 0) is 3 units.
Yes, the distance from (0, 0) to (2, 5) is 3 units.
NO
(3,0)
O No, the distance from (3, 0) to (2, V5) is not 3 units.
-5--
22
+
O No, the distance from (0, 0) to (2, V) is not 3 units.
Distance formula: V1x2 – xp)2 + (V2 - 72
Answers
Answer:
No, the distance from (0, 0) to (2, √6) is not 3 units.
Step-by-step explanation:
In the figure attached, the problem is shown clearly.
Distance formula:
√[(x2 - x1)² + (y2 - y1)²]
Distance between (0, 0) and (3, 0)
√[(3 - 0)² + (0 - 0)²] = 3
Then, a point lies on the circle shown if the distance between it and center is 3.
Distance between (0, 0) and (2, √6)
√[(2 - 0)² + (√6 - 0)²] = √[4 + 6] = √10 ≠ 3
which of the following is a rational number
[tex] \sqrt{6} [/tex]
[tex]2\pi[/tex]
[tex] \sqrt{196} [/tex]
[tex] \sqrt{8} [/tex]
Answers
The circumferences of WNBA basketballs follow a normal distribution where mean = 29.0 ; and standard deviation = 0.1 inches.
What proportion of WNBA basketballs are SMALLER than 29.1 inches? Round to the nearest percent
Answers
Answer:
[tex]P(X<29.1)=P(\frac{X-\mu}{\sigma}<\frac{29.1-\mu}{\sigma})=P(Z<\frac{29.1-29}{0.1})=P(z<1)[/tex]
And we can find this probability using the normal standard distribution, excel or a calculator and we got:
[tex] P(z<1) =0.8413[/tex]
And if we convert this into percent we got 84.13% rounded to the nearest percent would be:
84%
Step-by-step explanation:
Let X the random variable that represent the circumferences of a population, and for this case we know the distribution for X is given by:
[tex]X \sim N(29,0.1)[/tex]
Where [tex]\mu=29[/tex] and [tex]\sigma=0.1[/tex]
We are interested on this probability
[tex]P(X<29.1)[/tex]
And the best way to solve this problem is using the normal standard distribution and the z score given by:
[tex]z=\frac{x-\mu}{\sigma}[/tex]
If we apply this formula to our probability we got this:
[tex]P(X<29.1)=P(\frac{X-\mu}{\sigma}<\frac{29.1-\mu}{\sigma})=P(Z<\frac{29.1-29}{0.1})=P(z<1)[/tex]
And we can find this probability using the normal standard distribution, excel or a calculator and we got:
[tex] P(z<1) =0.8413[/tex]
And if we convert this into percent we got 84.13% rounded to the nearest percent would be:
84%
Use the Quadratic Formula to find the exact solutions of x2 + 7x − 4 = 0. x equals negative b plus or minus the square root of b squared minus 4 times a times c, all over 2 times a
Answers
Final answer:
Using the quadratic formula, the exact solutions of the equation x² + 7x - 4 = 0 are x = (-7 + √65) / 2 and x = (-7 - √65) / 2.
Explanation:
To solve the quadratic equation x2 + 7x − 4 = 0 using the quadratic formula, we first identify the coefficients as a = 1, b = 7, and c = -4. The quadratic formula is x = [tex]\frac{-b \pm \sqrt{b^2 - 4ac}}{2a}[/tex]. Substituting the values we have:
x = [tex]\frac{-(7) \pm \sqrt{7^2 - 4(1)(-4)}}{2(1)}[/tex]
x = [tex]\frac{-7 \pm \sqrt{49 + 16}} {2}[/tex]
x = (-7 ± √65) / 2
Therefore, the exact solutions for x are x = (-7 + √65) / 2 and x = (-7 - √65) / 2.
The exact solutions of [tex]\(x^2 + 7x - 4 = 0\) are \(x = \frac{-7 + \sqrt{65}}{2}\)[/tex] and [tex]\(x = \frac{-7 - \sqrt{65}}{2}\).[/tex]
To find the exact solutions of the quadratic equation [tex]\( x^2 + 7x - 4 = 0 \)[/tex] using the Quadratic Formula, we start with the standard form of a quadratic equation [tex]\( ax^2 + bx + c = 0 \)[/tex] and apply the formula:
[tex]\[ x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a} \][/tex]
In the equation [tex]\( x^2 + 7x - 4 = 0 \)[/tex], the coefficients are:
[tex]- \( a = 1 \)[/tex]
[tex]- \( b = 7 \)[/tex]
[tex]- \( c = -4 \)[/tex]
Now, substitute these values into the Quadratic Formula:
1. Calculate the discriminant [tex]\[ b^2 - 4ac = 7^2 - 4(1)(-4) = 49 + 16 = 65 \][/tex]
[tex]\[ b^2 - 4ac = 7^2 - 4(1)(-4) = 49 + 16 = 65 \][/tex]
2. Substitute [tex]\( b \), \( a \)[/tex], and the discriminant into the formula:
[tex]\[ x = \frac{-7 \pm \sqrt{65}}{2(1)} \][/tex]
[tex]\[ x = \frac{-7 \pm \sqrt{65}}{2} \][/tex]
So, the exact solutions of the equation [tex]\( x^2 + 7x - 4 = 0 \)[/tex] are:
[tex]\[x = \frac{-7 + \sqrt{65}}{2} \quad \text{and} \quad x = \frac{-7 - \sqrt{65}}{2}\][/tex]
Alex drew a shape that belongs to both the category of rhombuses and the category of rectangles. Alex said the most specific name for the shape is a quadrilateral. Is Alex correct? Explain why or why not.Respond in the space provided. Please help fast..... I will mark brainiest
Answers
Answer:
yes because a rhombus and a rectangle are counted as a quadrilateral because they have 4 sides
Step-by-step explanation:
Classify the triangle shown below. Check all that apply.
Answers
The shown triangle is scalene and right, so the correct options are C and F.
How to identify the shown triangle?
First, we can see that the 3 sides have different measures. So the triangle is Scalene (and we discard options A and E).
We also can see that one of the angle is 90°, which means that we have a right triangle. So option C is correct. (And we discard B and D).
Concluding, we have a scalene right triangle. So the correct options are C and F.
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Answer:
Right and Scalene
Step-by-step explanation:
I need help pleaces
Answers
P(8) = [tex]\frac{12}{50}[/tex] = [tex]\frac{24}{100}[/tex] = 24%
Which factor pair of -24 adds to give you 10?
Answers
Answer:
34
Step-by-step explanation:
The area on a wall covered by a rectangular poster is 180 square inches. The length of the
poster is 1.25 times longer than the width of the poster. What are the dimensions of the
poster?
The length of the poster is
The width of the poster is
inches.
inches.
Answers
The length of the poster is 15 inches.
The width of the poster is 12 inches
To solve this, you would set the equation as
180=1.25w*w
Divide 1.25 from both sides
144=w^2
Square root both sides
12=w
So the width is equal to 12 inches.
Next multiply that by 1.25 to get the length.
12*1.25=15
So the length equals to 15 inches.
If you multiply 12 by 15, it will result in 180.
Final answer:
The dimensions of the poster are 15 inches in length and 12 inches in width.
Explanation:
The area of a wall covered by a rectangular poster is 180 square inches, and the length is 1.25 times longer than the width. To determine the dimensions of the poster, we will let the width be w inches. Therefore, the length would be 1.25w inches. The area of a rectangle is given by the formula length × width. Substituting our expressions for length and width into the formula for area gives us the equation 1.25w × w = 180. Simplifying this equation will help us find the value of w.
1.25w^2 = 180
w^2 = 180 / 1.25
w^2 = 144
w = √144
w = 12 inches (width)
Now that we have the width, we can find the length:
Length = 1.25 × 12 = 15 inches
The dimensions of the poster are:
Length: 15 inches
Width: 12 inches
What is the slope in the equation: y=4x+3
Answers
Answer:
4
Step-by-step explanation:
[tex]y=mx+b[/tex]
[tex]m=slope[/tex]
[tex]b=y-intercept[/tex]
[tex]y=4x+3[/tex]
4 is your slope.
Answer: 4
Step-by-step explanation:
A right tringle ABC is shown. What is cos A?
Answers
Answer:
we need the triangle to answer that...
Step-by-step explanation:
I'm sorry
2. Find the inverse function of f(x) = 5x-4. Show your work."
Answers
Look at the attached picture
Hope it will be helpful to you.
Evaluate-2x3 - 2x2 - 4x-2 for x=-2.
A.-18
B. 16
C. -2
D. 14
Answers
Answer:
14
Step-by-step explanation:
-2x^3 - 2x^2 - 4x-2
Let x = -2
-2 (-2)^3 - 2 (-2)^2 -4(-2) -2
Exponents first
-2 (-8) -2 (4) -4(-2) -2
Then multiply
16 -8 +8 -2
Then add and subtract
14
Russell wants to purchase a computer that costs $1575. With a larger monitor, the cost of the computer will go up 8%. How much will an upgraded computer cost? $1701 $1458.33 $1449 $1712
Answers
First, we need to find 8% of 1,575. To do so we have to divide 8 by 100, then multiply the quotient by 1,575.
8% ⇒ 0.08
1,575 × 0.08 = 126
Now add the 8% increase to the original cost.
1,575 + 126 = 1,701
Answer:Option 1: $1,701.
I hope this helps :)
An ellipse is graphed. Which statements about the ellipse are true? Select three options. The center is at (0, 0). The major axis is 4 units long. The vertices are 4 units to the left and right of the center. The foci are units to the left and right of the center on the major axis. The directrices are vertical lines.
Answers
Answer:
The vertices are 4 units to the left and right of the center.
The foci are units to the left and right of the center on the major axis.
The directrices are vertical lines.
Step-by-step explanation:
The statements 2, 3 and 4 are correct. The ellipse graph shows that the foci are units to the left and vertices are 4 units to the left. The center os the ellipse is not at the origin (0,0) so the statement 1 is not correct. Ellipse is an oval shape with 2 other points known as foci. The foci of the ellipse are at left and right axis marked from the center.
Answer:
3 4 5
Step-by-step explanation:
What is the next term of the arithmetic sequence?
-8, -14, -20.–26,
Answers
Answer:
-32
Step-by-step explanation:
Subtract 6 to get next term.
Answer:
-32
Step-by-step explanation:
I'm saying this is the answer because if you look at the pattern of numbers, it keeps decreasing by 6. If you continue this sequence, you will find that you will just have to follow the same pattern of decreasing by 6. This will lead you to get -32 as your next number in your arithmetic sequence.
(Hope this helped you)
jose read 4 books in 6 months. what was his rate of reading in months per book?
Answers
Answer:
67/1 or about 67% of a book per month
Step-by-step explanation:
You require space to service 65 vehicles at any one time. Will a facility measuring 165 ft. by 130 ft. be adequate if each vehicle requires 300 sq.ft.?
Answers
Answer:
The facility will be adequate for the task.
Step-by-step explanation:
You require space to service 65 vehicles at any one time and each vehicle requires 300 ft² of space. This means, the 65 vehicles will require space of:
65 * 300 = 19500 ft²
A facility measuring 165 ft. by 130 ft is being considered. The area of the facility is:
165 * 130 = 21450 ft²
Since the space of the facility is larger than the space needed for the 65 vehicles, the facility will be adequate for the task.
Answer:
yes!
Step-by-step explanation:
Pleaseee help my work is due today!! Thank you
Answers
Answer:
B
Step-by-step explanation:
Answer:
denominator > numerator
Step-by-step explanation:
The degrees can be found in the "power" that they have.
The denominator has a degree of a power of 2 (3x²). The numerator has a degree of only 1 (5x). Therefore, by degrees, the denominator is greater than the numerator.
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