The table shows the heights of 40 students in a class.
-Height (h)
in cm-
120 < t < 124
124 < t < 128
128 < t < 132
132 <t< 136
136 <t< 140
__________
-Frequency-
7
8
13
9
3
__________
a) Calculate an estimate for the mean height of the students
Answer:
129.3
Step-by-step explanation:
You have to find the number in the middle of all of the heights and multiply them by the all of the frequency (122x7 etc). When you have those answers, add them together and divide the answer by 40.
pls help I'll mark the first person brainliest answer all
Answer:
4
a. 12
b. 8
c. 30
d. 40
Step-by-step explanation:
each exterior = 360/n
30*n=360
divide both side by 30
Answer is 12
The same apply to others to 4d
so first its 4
a. 12
b. 8
c. 30
d. 40
i will try to explain:
each exterior = 360/n
30*n=360
divide both side by 30
Answer is 12
The same apply to others to 4d
f(x) = x² - 4 and g(x)= x^2 + 1 are sketched 10.1.2 Determine the length of DB .
x⁴ - 8x² + 17 is the function that represents the fog(x).
To find fog(x), we first need to find g(f(x)), which means we need to substitute the expression for f(x) into the expression for g(x):
g(f(x)) = g(x² - 4)
Now, we can substitute the expression for g(x) into the above expression:
g(f(x)) = (x² - 4)² + 1
Expanding the squared term, we get:
g(f(x)) = x⁴ - 8x² + 17
Therefore, fog(x) = g(f(x)) = x⁴ - 8x² + 17.
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Complete question:
f(x) = x² - 4 and g(x)= x^2 + 1 find fog(x).
Find what percent 768 is of 3,200.
Answer:
3200 of 768 is 416.67%
Step-by-step explanation:
There's your answer hope this helps.
Find the Value of 16 3/4
Answer:
16.75
Step-by-step explanation:
Step-by-step explanation:
3/4 = 0.75
Add that to 16
16+0.75
=16.75
Please, gimme brainliest. Is this what you need?
A television transmission tower casts a shadow 1130 feet long. The angle formed by the ground and a line from the top of the tower to the tip of the shadow is 48.3 degrees. How tall is the tower? Round your answer to the nearest foot.
The height of the television transmission tower is approximately 1298 feet.
The height of the television transmission tower, we can use trigonometry and the concept of tangent.
Let's denote the height of the tower as h.
We know the length of the shadow is 1130 feet and the angle formed by the ground and the line from the top of the tower to the tip of the shadow is 48.3 degrees.
The tangent of an angle is defined as the ratio of the opposite side to the adjacent side.
The height of the tower is the opposite side and the length of the shadow is the adjacent side.
Using the tangent function, we can set up the following equation:
tan(48.3°) = h / 1130
To solve for h, we can multiply both sides of the equation by 1130:
1130 × tan(48.3°) = h
Using a calculator, we find:
h ≈ 1130 × 1.1477
≈ 1297.601 feet
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A marching band has 80 members.
The ratio of members who play wind instruments to all others is 2 to 3.
How many members play wind instruments?
Answer:
30 members will play wind instruments
Answer:
30 would be the answer to the ?
1. devin is making a candle by pouring melted wax into a mold in the shape of a square pyramid. each side of the base of the pyramid is 6 cm and the height of the pyramid is 9 cm. to get the wax for the candle, devin melts cubes of wax that are each 4 cm by 4 cm by 4 cm. how many of the wax cubes will devin need in order to make the candle? show your work.
Answer:
1.6875
Step-by-step explanation:
Volume of a pyramid = 1/3 (l*w*h)
Volume = 1/3(6 * 6 * 9)
Volume = 2 * 6 * 9
Volume = 108 cm³
Volume of cube = s³ ; s = side length
Volume = 4³ = 4 * 4 * 4 = 64 cm³
Number of wax cube = Volume of pyramid / volume of cube
= 108 cm³ / 64 cm³
= 1.6875
What are the solutions for this inequality
X/9>9
Answer:
x > 81
In interval notation: (81, ∞)
Step-by-step explanation:
Inequality is
\(\dfrac{X}{9} > 9\)
Multiply both sides by 9:
\(\dfrac{X}{9}\cdot 9 > 9 \cdot 9\\\\\implies X > 81\\\)
The solution set expressed in interval notation is (81, ∞)
Write an equation of the line in slope-intercept form. (-2, 4) (0 -1)
Answer:
y=-5/2x+1
Step-by-step explanation:
-1-4 ( -5 )
0- (-2 ) = 0+2 ( 2 )
-5/2
y=-5/2x+b
4=-5/2( -2 ) +b
4= 5+b
Subtract 4 from 5 ( 1 )
b=1
y=-5/2x+1
Hope this helped, Have a Great Day!!
The equation of the line passing from the given points is y = -5x/2-1
What is an equation?An equation is a mathematical statement that shows that two mathematical expressions are equal.
Given that, a line is passing through two points (-2, 4) and (0 -1)
We know that, the equation of a line passing through two points is given by,
y-y₁ = (y₂-y₁/x₂-x₁)(x-x₁)
Therefore,
y-4 = (-1-4)/(0+2)(x+2)
y-4 = -5/2(x+2)
y = -5x/2-5+4
y = -5x/2-1
Hence, The equation of the line passing from the given points is y = -5x/2-1
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the number that are being multiplied are called as.................
Answer:
Factors
Step-by-step explanation:
Factor*factor=product
Answer:
The numbers to be multiplied are generally called the "factors". The number to be multiplied is the "multiplicand", and the number by which it is multiplied is the "multiplier". ... The result of a multiplication is called a product.
Step-by-step explanation:
A 6 inch pizza has 610 calories, with 249 of those from fat. A 16 inch pizza is cut into 8 slices . Estimate the number of calories in one slice of 16 inch pizza.
Answer:
Step-by-step explanation:
.In this case (16)2 / (6)2 or 7.1111The larger pizza has (7.1111)(610) calores
Answer:
To solve this problem, we first need to understand that the number of calories in a pizza doesn't depend on its diameter but on its area. The reason is simple: the more pizza there is, the more calories it contains. And the area of a pizza (or any circle) increases with the square of the radius.
The area of a circle is given by the formula πr^2, where r is the radius.
The 6-inch pizza has a radius of 3 inches, so its area is π(3^2) = 9π square inches.
The 16-inch pizza has a radius of 8 inches, so its area is π(8^2) = 64π square inches.
The 16-inch pizza is 64π/9π = 64/9 ≈ 7.11 times the area of the 6-inch pizza, and therefore should have roughly 7.11 times the calories, assuming the pizzas are made with the same proportions of ingredients.
So, the 16-inch pizza should have approximately 610 calories * 7.11 = 4337.1 calories.
If the 16-inch pizza is cut into 8 slices, each slice would have approximately 4337.1 calories / 8 = 542.14 calories.
Keep in mind this is an estimate as it assumes that the distribution of ingredients (and therefore the distribution of calories) is uniform across the pizza, which might not be the case in reality. But it gives a good first approximation.
PLEASE DONT IGNORE AND HELP
Identify the correct equation for the graph.
The correct equation for the graph include the following: C. y = 2x/3 - 4.
What is the point-slope form?Mathematically, the point-slope form of a straight line can be calculated by using this mathematical expression:
y - y₁ = m(x - x₁) or y - y₁ = (y₂ - y₁)/(x₂ - x₁)(x - x₁)
Where:
m represents the slope.x and y are the points.From the information provided above, we have the following slope and data points on the line:
Points on the x-axis = (0, 6).Points on the y-axis = (-4, 0).At point (0, -4), a linear equation of this line can be calculated in point-slope form as follows:
y - y₁ = (y₂ - y₁)/(x₂ - x₁)(x - x₁)
y - (-4) = (0 + 4)/(6 - 0)(x - 0)
y + 4 = 2x/3
y = 2x/3 - 4
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Installation of certain hardware takes a random amount of time. The installation times form a normally distributed distribution with a standard deviation 5 minutes and a mean of 45 minutes. A computer technician installs the hardware on 31 different computers. You are interested to find the probability that the mean installation time for the 31 computers is less than 43 minutes.
Select the most appropriate item that pertains to the problem.
a. z=-0.4
b. none of these
c. z=-2.23
d. z=2.23
And,
What is the probability that the mean installation time for 31 computers is less than 43 minutes?
a. 0.400
b. 0.345
c. none of these
d. 0.0129
e. 0.987
The most appropriate values are:
z = - 2.23
The corresponding probability is : 0.01297
Mean, μ = 45
Standard deviation, σ = 5
Sample size, n = 31
The standard score, Z ; Since distribution is normal is obtained thus;
Z= (x - μ) ÷ (σ/√n)
For, x = 43
Z = (43 - 45) ÷ (5/√31)
Z = - 2.227
The probability :
Using the standard normal distribution table:
P(Z < - 2.227)
P = 0.01297
Hence, Z = - 2.23
P(x ≤ 43) = 0.0129
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Two rectangle are conguruent if
Answer:
they are congruent if they have the same exact measurements as each other (side lengths AND angles)
Step-by-step explanation:
:)
Vertical angles are two angles that are ___ of each other when two intersect. These angles are
Answer:
The two angles that are directly across the intersection point from each other are called vertical angles. Vertical angles are always congruent.
Step-by-step explanation:
brainliest???
Vertical angles are two angles that are opposite of each other when two intersect. These angles are congruent.
What are vertical angles?Vertical angles are angles opposite to each other where two lines cross.
When two lines intersect, they naturally form two pairs of vertical angles. Vertical angles share the same vertex or corner, and are opposite each other.
These pair of angles are congruent which means they have the same angle measure.
Hence, Vertical angles are two angles that are opposite of each other when two intersect. These angles are congruent.
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The equation 2(x + 32) = 96 models this situation. Which choice shows the sequence of operations needed to solve this problem, using both arithmetic and algebra?
2x +64 =96
2x = 96 - 64
2x= 32
x= 16
The midpoint of segment AB is M(-2,2). If A is located at (-5,7) find the coordinates of the endpoint B
Answer:
B (1, -3)
Step-by-step explanation:
Step 1: Use the midpoint formula to find the coordinates of the endpoint:
Normally, we find the midpoint of a segment using the midpoint formula, which is given by:
M = (x1 + x2) / 2, (y1 + y2) / 2, where
M is the midpoint,(x1, y1) are one endpoint on the segment,and (x2, y2) are the other endpoint of the segment.Since we're solving for the coordinates of an endpoint, we can allow (-5, 7) to be our (x1, y1) point and plug in (-2, 2) for M to find (x2, y2), the coordinates of the endpoint B:
x-coordinate of B:
x-coordinate of midpoint = (x1 + x2) / 2
(-2 = (-5 + x2) / 2) * 2
(-4 = -5 + x2) + 5
1 = x2
Thus, the x-coordinate of the endpoint B is 1.
y-coordinate of B:
y-coordinate of midpoint = (y1 + y2) / 2
(2 = (7 + x2) / 2) * 2
(4 = 7 + x2) -7
-3 = y2
Thus, the y-coordinate of the endpoint B is -3.
Thus, the coordinates of the endpoint B are (1, -3).
Use the number line below, where RS= 5y +5, ST = 4y + 8, and RT = 67.
a. What is the value of y?
b. Find RS and ST.
R
a. What is the value of y?
y = (Type an integer or a decimal.)
Answer:
y = 6RS = 35ST = 32Step-by-step explanation:
The segment sum theorem tells you the whole is the sum of the parts. That can be used to write an equation for y.
SetupRS +ST = RT
(5y +5) +(4y +8) = 67
SolutionSimplifying, we get ...
9y +13 = 67
9y = 54 . . . . . . . . subtract 13
y = 6 . . . . . . . . . divide by 9
RS = 5y +5 = 5·6 +5 = 35
ST = 4y +8 = 4·6 +8 = 32
The values of interest are ...
y = 6RS = 35ST = 32Add the fraction and whole numbers
5 13/16 +
2 1/8 +
3 3/4
Answer:
The sum of the three mixed numbers is 11 and 9.5/16.
Step-by-step explanation:
5 and 13/16
2 and 1/8 = 2 and 0.5/16
3 and 3/4 = 3 and 12/16
10 and 25.5/16
11 and 9.5/16
Answer:
\(11\frac{11}{16\\} \\\)
Step-by-step explanation:
Separate fractions and whole numbers
5 2 3 13/16 1/8 3/4
Add whole numbers and fractions (where the denominator is 16)
5+2+3=1
13/16+1/8+3/4 =
13/16+2/16+12/6=
27/16 =
\(1\frac{11}{16\\} \\\)
27/16+10 = \(11\frac{11}{16\\}\)
Team A won 102 games & lost 60 games in 2021. What percentage of the games did the team win?
Given
Team A won 102
Team A lost 60
Procedure
First, let's calculate the total number of games for team A.
\(\begin{gathered} \text{Total = 102 + 60 } \\ \text{Total = 162 games } \end{gathered}\)Now let's calculate the total number of games won
\(\begin{gathered} \text{ \%=102/162} \\ \text{ \%=}0.629 \\ 62.9\text{ \%} \end{gathered}\)Team A win 62.9% of the games
Which is the graph of the inequality? 3y−9x≥9
Answer:
Which is the graph of the inequality? 3y−9x≥9
Step-by-step explanation:
Which is the graph of the inequality? 3y−9x≥9
PLEASE ANSWER ASAP!!! WILL GIVE BRAINLIEST IF CORRECT!
A math class is having a discussion on how to determine if the expressions 4 x minus x + 5 and 8 minus 3 x minus 3 are equivalent using substitution. The class has suggested four different methods.
Which describes the correct method?
1. Both expressions should be evaluated with one value. If the final values of the expressions are both positive, then the two expressions must be equivalent.
2. Both expressions should be evaluated with one value. If the final values of the expressions are the same, then the two expressions must be equivalent.
3. Both expressions should be evaluated with two different values. If for each substituted value, the final values of the expressions are positive, then the two expressions must be equivalent.
4. Both expressions should be evaluated with two different values. If for each substituted value, the final values of the expressions are the same, then the two expressions must be equivalent.
Answer:
Option 4 is the correct answer
Step-by-step explanation:
4. Both expressions should be evaluated with two different values. If for each substituted value, the final values of the expressions are the same, then the two expressions must be equivalent.
The matrix equation represents a system of equations.
Solve for x and y using matrices. Show or explain all necessary steps.
Answer:
(x, y) = (-4, 3)
Step-by-step explanation:
You want the solution to the matrix equation ...
\(\left[\begin{array}{cc}2&5\\1&3\end{array}\right] \left[\begin{array}{c}x\\y\end{array}\right] =\left[\begin{array}{c}7\\5\end{array}\right]\)
Row ReductionPerhaps the easiest solution is to let a calculator reduce the augmented matrix to row-echelon form. This is done in the attachment. It shows the solution is (x, y) = (-4, 3).
Inverse matrixAlternatively, you can left-multiply the equation by the inverse of the coefficient matrix. The inverse of the 2×2 coefficient matrix is easily found.
The inverse is the transpose of the cofactor matrix, divided by the determinant. For a 2×2 matrix, the transpose of the cofactor matrix negates the off-diagonal terms and swaps the diagonal terms. The determinant is the difference of the products of the diagonal and off-diagonal terms:
\(\left[\begin{array}{cc}2&5\\1&3\end{array}\right]^{-1}=\dfrac{1}{2\cdot3-1\cdot5}\left[\begin{array}{cc}3&-5\\-1&2\end{array}\right] =\left[\begin{array}{cc}3&-5\\-1&2\end{array}\right]\)
Multiplying this by the constant vector, we have ...
x = 3(7) -5(5) = -4
y = -1(7) +2(5) = 3
__
Additional comment
Using row-reduction avoids the problem of the inverse matrix being undefined — when the determinant is zero. That happens when the equations are dependent or inconsistent. The result of row-reduction will tell you which of those is the case: the bottom row is 0 for dependent equations, and 0 0 1 for inconsistent equations.
The question about btw if answer correctly I’ll give brainalist + 10 points this is half my grade so please be truthful in your work
Answer:
ur correct it's A. trust me u look up all the definitions to the other than A. they gonna be wrong already looked em all up
What are the 2  formulas to find the area of a circle
Therefore, according to the given information, The formulas to find the area of a circle are\(\pi r^2 and (d/2)^2\pi or r^2\pi\).
What is the area of a circle?The area of a circle is given by the formula A = πr², where r is the radius of the circle.
According to the given information:The area of a circle can be found using either of the following formulas:
\(\pi r^2\), where π (pi) is a mathematical constant approximately equal to 3.14159 and r is the radius of the circle.
\(A = (d/2)^2π,\) where d is the diameter of the circle. This formula can also be written as \($A = r^2\pi$\), where r is the radius of the circle and A is the area.
Both formulas are equivalent and can be used interchangeably, depending on the given information about the circle.
Therefore, according to the given information, The formulas to find the area of a circle are\(\pi r^2 and (d/2)^2\pi or r^2\pi\).
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20 points
When animals hibernate, they conserve energy by lowering their body
temperatures, and slow their breathing rate. Some animals hibernate in
response to cold conditions. Others hibernate in response to excessively your app is so bad y’all just giving me random answers
dry, hot weather. What is the overall purpose of hibernation?"
to decrease an organism's ability to hunt
To increase an organisms chance of survival
To decrease an organisms chance of acquiring diseases
O O
To increase an organisms reproductive rate
Answer:
to increase an organisms chance of survival
100 Points! Geometry question. Photo attached. Find the measure. Please show as much work as possible. Thank you!
Answer:
The answer would lie within 31 degrees of MP and also as in PM.
Answer:
central m arc MP=118°
Step-by-step explanation:
here
central m arc MN=2* inscribed m arc MN=2*31=62°
again
central m arc MN+ central m arc MP=180° being linear pair
substituting value
62°+central m arc MP=180°
central m arc MP=180°-62°
central m arc MP=118°
Translate to an algebraic expression and simplify if possible.the product of -3 and 4
Given:
The product of -3 and 14.
To find:
a) The algebraic expression
b) Simplify
Explanation:
a)
The product of -3 and 14.
The algebraic expression will be,
\(-3\times14\)b)
On simplification we get,
\(-3\times14=-42\)Final answer:
The algebraic expression will be,
\(-3\times14\)The simplified expression is,
\(-42\)A fireman spots a stranded woman in the window or a 200-foot tall office building. From the point where the fireman is standing, the angle of elevation to the stranded woman is 42’ and to the top of the building is 58°. How far from the ground is the stranded woman?
Answer:
The height of the stranded woman from the ground is approximately 113-ft
Step-by-step explanation:
Step 1: Determine the distance of the man from the building
Let the distance be d.
Since the angle of elevation to the top of the 200-ft building is 58°
tan 58° = 200/d
d = 200/ tan 58
d = 125-ft
Therefore, the man is standing 125-ft away from the building
Step 2: Determine the height of the woman from the ground
Let the height of the woman from the ground be h
tan 42° = h/125
h = tan 42 * 125
h = 112.55
Therefore, the height of the stranded woman from the ground is approximately 113-ft