Some ways through which the value of a thing be estimated are:
Given: 11.51 * 12.95, an estimated value of the individual numbers can be made out to be 12 * 13 respectively.
What is an Estimate?This refers to the rough calculation of the approximate value of a thing, usually a number.
In mathematical calculations, estimates are important as they are used to round off the value of numbers either to the nearest tenth, hundredth, thousandth, etc.
Hence, we can see that your question is incomplete, so I gave you a general overview of estimates to give you a better understanding of the concept.
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Use the drop-down menus to identify whether the mean, median, mode, and range are always, sometimes, or never one of the data values in a data set.
the mean is
choose...
one of the data values.
the median is
choose...
one of the data values.
the mode is
choose...
one of the data values.
the range is
choose...
one of the data values.
The information shows that:
The mean is sometimes of the data values.The median is sometimes one of the data values.The mode is always one or the data values.The range is sometimes one of the data values.What is a mean?It should be noted that the mean is the average of the numbers that are given.
The median is the number in the middle when they are arranged in ascending or descending order. The mode is the number that appears most.
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What is .63 as a fraction
[tex] \frac{2}{3} n (4p + \sqrt{36} - 2 {n}^{2} [/tex])
n= -3
p=5
need urgent help
Answer:
-16.
Step-by-step explanation:
2/3 * (-3) * (4*5 + 6 - 2(-3)^2)
= -2(20 + 6 - 18)
= -2 * 8
= -16.
I don’t understand how to solve this question, can I have an explanation? I will give Brainliest.
Answer:
d
Step-by-step explanation:
the fitness grows into bodyness from good
Which of the following functions describes the graph of h(x)?
Answer:
2x+4/ x-1 C
Step-by-step explanation:
Because the y-intercept is -4
Decide whether quadrilateral ABCD with vertices 4(3,1), B(-1,-1) C(1,3), and D(5.5) is a rectangle, rhombus,square, or parallelogram.
Answer: rhombus
Step-by-step explanation:
By inspection, we can tell that there are no right angles, so we can determine it is not a square or a rectangle.
From the options, it is implied that it is a parallelogram, so to determine if it is a rhombus, we can determine if there is a pair of consecutive congruent sides.
By the distance formula,
[tex]AB=\sqrt{(-1-3)^{2}+(-1-1)^{2}}=\sqrt{16+4}=2\sqrt{5}\\BC=\sqrt{(-1-1)^{2}+(-1-3)^{2}}=\sqrt{4+16}=2\sqrt{5}[/tex]
As AB=BC, there is indeed a pair of consecutive congruent sides, and thus the most specific classification is a rhombus
(1/7x + 3/8) + (2/9x - 1/8)
The table shows some information about the lifetimes, t, in hours, of some lightbulbs.
Frequency
Lifetime
25
47
50 < t ≤ 100
86
100
45
150 < t ≤ 200
36
200
0
250
37
300 < t ≤ 350
50
Estimate the mean lifetime of a bulb.
Give your answer rounded to 2 DP.
hours
The estimated mean lifetime of a bulb of 154.69
How to estimate the mean lifetime of a bulb?The table is given as:
Lifetime Frequency
25 < t ≤ 50 47
50 < t ≤ 100 86
100 < t ≤ 150 45
150 < t ≤ 200 36
200 < t ≤ 250 0
250 < t ≤ 300 37
300 < t ≤ 350 50
Calculate the midpoint using:
x = (Lower +Upper)/2
So, we have:
Lifetime Frequency
37.5 47
75 86
125 45
175 36
225 0
275 37
325 50
The mean value is calculated as:
[tex]\bar x = \frac{\sum fx}{\sum f}[/tex]
So, we have:
[tex]\bar x = \frac{37.5 * 47 + 75 * 86 + 125 * 45 + 175 * 36 + 225 * 0 + 275 * 37 + 325 * 50}{47 + 86 + 45 + 36 + 0 + 37 + 50}[/tex]
Evaluate
[tex]\bar x = \frac{46562.5}{301}[/tex]
Divide
[tex]\bar x = 154.69[/tex]
Hence, the estimated mean lifetime of a bulb of 154.69
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This table shows the number of points a high school basketball team scored during each of its last 10 games.
Which measure(s) of central tendency is most affected by the lowest score?
A. the mean
B. the median
C. the mode
D. both the mean and the median
The measure of central tendency that is most affected by the lowest score is; A: The mean.
How to find the measures of Central Tendency?
The points table is missing and so I have attached it.
The 3 main measures of central tendency are called mean, median and mode.
Now, from the table attached, if we find the average which is the mean, we will get 56.6.
Now, the mode is the number that occurs the most times. In this case, there is no mode because no number appears more than the other.
For the median, if we arrange in ascending order, we have;
42, 48, 49, 53, 55, 56, 58, 66, 68, 71.
The median = (55 + 56)/2 = 55.5
Now, if we remove the lowest score, the measure that will be most affected will be the mean as the median will only change by 0.5 to 56.
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Answer:
B
Step-by-step explanation:
HELP
The table shows the time in minutes that Naima talked on the phone during the last 3 weeks.
Make a stem-and-leaf graph on your own paper, and then answer the question below.
Mon
Tues
Wed
Thurs
Fri
Sat
Sun
Week 1
12
15
25
45
52
30
31
Week 2
22
25
46
51
10
19
33
Week 3
44
21
30
20
10
24
52
Which stems have the same number of leaves?
a.
Stems 1 and 2 each have 5 leaves
c.
4 and 5 each have 3 leaves
b.
Stems 1 and 3 each have 4 leaves
d.
3, 4, and 5 each have 3 leaves
Please select the best answer from the choices provided
A
B
C
D
The stems that have the same number of leaves are (c) 4 and 5 each have 3 leaves
How to make the stem-and-leaf graph?The table of values is given as:
Week 1: 12 15 25 45 52 30 31
Week 2: 22 25 46 51 10 19 33
Week 3: 44 21 30 20 10 24 52
Remove the week tags:
12 15 25 45 52 30 31
22 25 46 51 10 19 33
44 21 30 20 10 24 52
Sort the data values in tens
10 10 12 15 19
20 21 22 24 25 25
30 30 31 33
44 45 46
51 52 52
Now, we can now plot the stem-and-leaf graph.
This is represented as follows:
Stem | Leaves
1 0 0 2 5 9
2 0 1 2 4 5 5
3 0 0 1 3
4 4 5 6
5 1 2 2
In the above plot, we can see that stems 4 and 5 have 3 leaves each
Hence, the stems that have the same number of leaves are (c)
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A binomial experiment has 4 trials in which p = 0.4. What is the probability of 3 successes?
The probability of 3 successes is 0.0384
How to determine the probability?The given parameters are:
Trials, n = 4Probability of success, p = 0.4The binomial probability is represented as:
[tex]P(x) = ^nC_x * p^x * (1 - p)^{n-x[/tex]
So, the probability of three successes is:
[tex]P(3) = ^4C_3 * 0.4^3 * (1 - 0.4)^{4 -3[/tex]
Evaluate the factors in the expression
[tex]P(3) = ^4C_3 * 0.0384[/tex]
Evaluate the combination expression
P(3) = 1 * 0.0384
Evaluate the product
P(3) = 0.0384
Hence, the probability of 3 successes is 0.0384
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Answer:
0.1536
Step-by-step explanation:
classify the pair of angles. then find the value of x.
(need help with 13 & 15!)
The value of x from the figures are 18 and 26 respectively
Vertical and complementary angles13) From the diagram, the angles at the corner is 90 degrees. This shows that the sum of the angles is complementary (sum is 90 degrees)
3x + 2x = 90
5x = 90
x = 90/5
x = 18
15) Since the sum of angles on a straight line is supplementary, hence;
6x + x - 2 = 180
7x = 182
x = 182/7
x = 26
Hence the value of x from the figures are 18 and 26 respectively
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raw and label a model to find the value of 3··81 4·· 8. Then write and solve an equation that matches the model.
For is mathematically given as
What is the solution of an equation that matches the model.?Considering line segments from (0,0,0)origin to (3,0,0) , (3,5,1) and (0,5,1) under the infulence of force
Generally, the equation for force is mathematically given as
F = z2i + 5xyj + 2y2k
Therefore, Considering u*v
[tex]u * v = (u_1j+u_2j+u_3k) * (v_1i+v_2j+v_3k)[/tex]
[tex]u* v = u_1v_1(i * i) + u_1v_2(i * j)+u_1v_3(i * k) + u_2v_1(j * i) + u_2v_2(j * j)+u_2_3(j* k) + u_3v_1(k * i) + u_3v_2(k * j)+u_3v_3(k * k)[/tex]
Where
[tex]i * i = j *j=k * k=0[/tex]
Hence
[tex]u* v = u_1v_2k-u_1v_3j-u_2v_1k+u_2v_3i +u_3v_1j - u_3v_2i[/tex]
[tex]u = (u_1,u_2,u_3) = (0,5,1)\\\\v = (v_1,v_2,v_3) = (-3,0,0)[/tex]
The normal equation formed
-3y + 15z = 0
z= (1/5)y
Considering the level surface and differential surface area
h(x,y,z) = -y + 5z =0
[tex]dS = |grad(h)| dA[/tex]
In terms of the x and y coordinates of (3,0,0) and (3,5,1) and (0,5,1), we can state that the ranges are 0 to 3 and 5 respectively.
In conclusion,
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If you apply the changes below to the quadratic parent function, f(x) = x², which of these is the equation of the new function? Shift 1 unit right. • Vertically stretch by a factor of 3. • Reflect over the x-axis. A. g(x)=-3(x-1)2 B. g(x)=-3(x+1)2 c. g(x)=-3x²-1 D. g(x) = (-3x+1)2
Equation of the new function -3(x+1)².
The correct option is (B)
What is function?An expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).
Given function:
f(x) = x²
The given condition are shift one unit right+ 1.
i.e., x+1
Vertically stretch 3 units= -3
i.e., -3(x+1)
So, reflect over x- axis = square the function'
So, new function= -3(x+1)²
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Find the sum of the cubes of first 15 natural numbers.
The sum of the cubes of first 15 natural numbers.
Solution:[tex]( \frac{(15 \times 16)}{2} {)}^{2} [/tex]
[tex] = (15 \times 8 {)}^{2} [/tex]
=14400
Hence, the sum of the cubes of first 15 natural numbers is 14400
The only contents of a bag are 4 red balls and 6 blue balls. What is the probability that two balls drawn at random from the bag will be red if the first ball drawn is not replaced
Answer:
See below ~
Step-by-step explanation:
P (first red) :
⇒ Original number of red balls / Total
⇒ 4 / 10
⇒ 0.4
⇒ 40%
===============================================================
Remember the first ball drawn is NOT replaced.
P (second red) :
⇒ Original number of red - 1 / Total - 1
⇒ 4 - 1 / 10 - 1
⇒ 3/9
⇒ 33%
B Which of the statements is true about the polygons below E D 120 degrees C 90 90 60 60 120 degrees 90 90 F D Polygon A Polygon B A. It is possible to circumscribe a circle around each polygon because they are both quadrilaterals. B. It is not possible to circumscribe a circle about either polygon because they are both quadrilaterals. C. It is possible to circumscribe a circle about the parallelogram on the left only, because opposite angles must be supplementary D. It is possible to circumscribe a circle about the rectangle because its opposite angles are supplementary
Answer:
hope you can understand
At the local pet store, zebrafish cost $2.10 each, and neon tetras cost $1.95 each. if ernesto bought 13 fish for a total cost of $26.70 not including tax, how many of each type of fish did he buy?
Answer:
zebrafish: 9neon tetras: 4Step-by-step explanation:
The numbers of zebrafish and neon tetras can be found by writing an equation relating the numbers of each to their total cost.
__
setupLet z represent the number of zebrafish Ernesto bought. Then the number of neon tetras is (13 -z), and the total cost of the purchase was ...
2.10z +1.95(13 -z) = 26.70
solution0.15z +25.35 = 26.70 . . . . . . simplify
0.15z = 1.35 . . . . . . . . . . . . subtract 25.35
z = 9 . . . . . . . . . . . . . . . divide by 0.15
Ernesto bought 9 zebrafish and 4 neon tetras.
find the value of 81 3x
Answer:
27 I think just divide 81 by 3
what is the product of 65(cos(14°)+ i sin(14°)) and 8(cos(4°)+ i sin(4°))
The product of the complex numbers 65(cos(14°)+ i sin(14°)) and 8(cos(4°)+ i sin(4°)) is 520[cos(18) + isin(18)]
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
Complex number is in the form z = a + bi, where a and b are real numbers.
The product of the complex numbers 65(cos(14°)+ i sin(14°)) and 8(cos(4°)+ i sin(4°)) is:
z = 65 * 8 [cos(14 + 4) + isin(14 + 4)] = 520[cos(18) + isin(18)]
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Factor the expression.
12x+10
Work Shown:
12x+10
2*6x+2*5
2(6x+5)
Effectively, we use the distributive property in reverse when it comes to factoring expressions like this.
The distributive property in general is a*(b+c) = a*b+a*c
1) Find the Greatest Common Factor (GCF).
1 What is the largest number that divides evenly into 12 and 10?
It is 2.
2 What is the highest degree of that divides evenly into 12and 10?
It is 1, since x is not in every term.
3 Multiplying the results above,
The GCF is 22.
2) Factor out the GCF. (Write the GCF first. Then, in parentheses, divide each term by the GCF.)
[tex]2(\frac{12x}{2}+\frac{10}{2})[/tex]
3) Simplify each term in parentheses.
2(6x+5)
Find the 24th term of the sequence:
11, 16, 21, . . .
Answer:
126
Step-by-step explanation:
The difference between the first two terms of this sequence is 5 (16 - 11 = 5). The difference between the second and third terms of this sequence is also 5 (21 - 16 = 5).
So, we can assume that the difference between each term in this sequence is 5. To get from the first term (11) to the second term (16) we had to add 5 once. (or, add 5 x 1 [time])
To get from the first term (11) to third (21), we had to add 5 twice
(or, add 5 x2)
*repeated addition, such as 5+5+5 is the same thing as multiplication. If we are adding 5 three times, we will get the same outcome as 5 x 3.
So, to get from the first term (11) to the 24th term, we will have to add 5 23 times, or 5 x 23
5 x 23 = 115
11 + 115 = 126
Making 126 the 24th term of the sequence
yyghhghh pls help jgghdeshr3fwqhqjwgdqe
Answer: The answer is 22
Step-by-step explanation: you divide the 36 and the 9 to get 4 then you add the 18 and the 4 to get 22
Answer:
22
Step-by-step explanation:
[tex]18+(\frac{36}{9})=?\\ 18+4=?\\22=?[/tex]
There are 973 dozen M&M's in a jar.
How many M&M's are in the jar?
Answer:
11,676 M&M's
Step-by-step explanation:
A dozen is 12
the problem is saying that in the jar, there are 973 (12-M&M's)
973 * 12 is 11676
There are 11,676 M&M's in the jar
Answer:
they are 11,676
Step-by-step explanation:
A dozen is 12 so since there are 973 dozen, we multiply by 12.
Consider triangle ABC. What is b?
Answer:
A triangle is equal to 540° so you do 112 add 37 which equals 149° then take it away from 540 which gives you 391° as your answer
Step-by-step explanation:
Your Welcome
A farmer has 6 pumpkins that are the same size. the mass of each pumpkin is 3 kilograms. what is the total mass of the farmer's pumpkins?
Answer: 18 kilograms
Step-by-step explanation:
If each pumpkin weighs 3 kilograms and the farmer has 6 pumpkins the equation would be 6x3=18 in order to find the mass of the farmer's pumpkins.
- a) The volume of a rectangular tank is (2a³ + a² - 2a - 1) cu. ft. where a>4 ft., the length is longer than its breadth and the breadth is longer than its height. (i) Find its length, breadth and height. (ii) Find the area of the its floor.
The rectangle with:
The volume of (2a³ + a² - 2a - 1) ft³, a > 4 ftThe length > breadth > heightTo find(i) the dimensions(ii) the area of the floorSolution(i)Factorize the volume expression
2a³ + a² - 2a - 1 = 2a³ - 2a + a² - 1 = 2a(a² - 1) + (a² - 1) = (2a + 1)(a² - 1) = (a - 1)(a + 1)(2a + 1)If a > 4, then:
a - 1 > 4 - 1 ⇒ a - 1 > 3a + 1 > 4 + 1 ⇒ a + 1 > 52a + 1 > 2*4 + 1 ⇒ 2a + 1 > 9Since the longest dimension is the length, it is
2a + 1The breadth is the middle dimension, it is
a + 1The height is the smallest dimension, it is
a - 1(ii)The area of the floor is:
Area = length * breadthArea = (2a + 1)(a + 1) = 2a² + 3a + 1Answer:
i) length > 9 ft
breadth > 5 ft
height > 3 ft
ii) Area of floor > 45 ft²
Step-by-step explanation:
Volume of a rectangular prism
[tex]\textsf{V}=lbh[/tex]
where:
l is the lengthb is the breadthh is the heightGiven:
[tex]\sf V=(2a^3+a^2-2a-1)\:\:ft^3, \quad where\:a > 4\:ft[/tex]Part (i)
To find expressions for the 3 dimensions of the tank, factor the expression for Volume.
Using the Factor Theorem, if V(x) = 0 then (a - p) is a factor:
[tex]\implies \sf V(1)=2(1)^3+(1)^2-2(1)-1=0[/tex]
[tex]\implies \sf V(-1)=2(-1)^3+(-1)^2-2(-1)-1=0[/tex]
Therefore (a - 1) and (a + 1) are factors:
[tex]\implies \sf 2a^3+a^2-2a-1=(a-1)(a+1)(2a+p)[/tex]
(where p is a constant to be found)
To find the value of p, expand:
[tex]\implies \sf 2a^3+a^2-2a-1=2a^3+pa^2-2a-1[/tex]
and compare coefficients:
[tex]\implies \sf a^2=pa^2 \implies p=1[/tex]
Therefore:
[tex]\implies \sf 2a^3+a^2-2a-1=(a-1)(a+1)(2a+1)[/tex]
If l > b and b > h then:
length (l) = (2a + 1)breadth (b) = (a + 1)height (h) = (a - 1)If a > 4 ft then:
length > 9 ftbreadth > 5 ftheight > 3 ftPart (ii)
The area of the floor can be found by multiplying the found expressions for breadth and length:
[tex]\begin{aligned}\implies \sf Area\:of\:floor & =(a+1)(2a+1)\\& = 2a^2+3a+1\end{aligned}[/tex]
If a > 4 ft then Area of floor > 45 ft²
question 3 help me please
Answer:
3x+(4x-1)+90°=180°{sum of angles in a triangle}
3x+4x-1+90°=180°
7x+89°=180°
7x=180°-89°
7x=91°
divide both sides by 7
x=13
Answer:
The answer is x=13
The endpoints of wx are w (5,-3) and x (-1,-9) what is the length of wx ?
Using the distance formula, the length of WX is approximately: 8.5.
How to Find the Length of a Segment Using the Distance Formula?Distance formula is, [tex]d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}[/tex].
Given the endpoints:
W(5,-3) = (x1, y1)
X(-1,-9) = (x2, y2)
Plug in the values:
WX = √[(−1−5)² + (−9−(−3))²
WX = √[(−6)² + (−6)²]
WX = √72
WX ≈ 8.5
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Answer:
6 2 with the little check mark line in the midddle
Step-by-step explanation:
(x + a)(x + 3a) = x ^ 2 + bx + 75
(x+a)(x+3a)= x²+bx+75
x²+4a+3a²=x²+bx+75
by comparing 3a²=75 and b= 4a
a= ±5
possible values of b= ±20
Two possible values of b are 20 and -20.
What is Mathematical expression?
The combination of numbers and variables by using operations addition, subtraction, multiplication and division is called Mathematical expression.
Given that;
The mathematical expression as;
(x + a)(x + 3a) = x² + bx + 75
Now,
The mathematical expression is;
(x + a)(x + 3a) = x² + bx + 75
Solve the expression as;
(x + a)(x + 3a) = x² + bx + 75
x² + 3ax + ax + 3a² = x² + bx + 75
x² + 4ax + 3a² = x² + bx + 75
After comparison we get;
4a = b ... (i)
And, 3a² = 75 .. (ii)
Solve the second equation for a as;
3a² = 75
Divide by 3;
a² = 25
Take square root both side, we get;
a = ± 5
So, By equation (i) we get;
b = 4a
Substitute a = 5;
b = 4 x 5
b = 20
And, Substitute b = -5;
b = 4 x -5
b = -20
Thus, Two possible values of b are 20 and -20.
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