Answer: 32.14 after round off it will be 32
Step-by-step explanation:
This is how to round 32.14 to the nearest whole number. In other words, this is how to round 32.14 to the nearest integer.
32.14 has two parts. The integer part to the left of the decimal point and the fractional part to the right of the decimal point:
Integer Part: 32
Fractional Part: 14
Our goal is to round it so we only have an integer part using the following rules:
If the first digit in the fractional part of 32.14 is less than 5 then we simply remove the fractional part to get the answer.
If the first digit in the fractional part of 32.14 is 5 or above, then we add 1 to the integer part and remove the fractional part to get the answer.
The first digit in the fractional part is 1 and 1 is less than 5. Therefore, we simply remove the fractional part to get 32.14 rounded to the nearest whole number as:
32
TIMED WILL GIVE BRAINLYIST
Answer:
D)
Step-by-step explanation:
TY is a ray.
FR is a segment.
Ray TY intersects segment FR at point P.
Answer: D)
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Answer: TY intersects FR at point P
Explanation:
I hope this helped!
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i will give BRAINLIEST!!! middle school math...
On a coordinate grid, point is at (2, 1) and point Ris at (-6, -5) Points Q and S are a reflection of both points across the x-axis. What are the coordinates of Q and S? O Q(2, -1), S(-6,5) O Q(-2, 1), S(6,-5) O Q(-2, -1), S(6,5) O Q(-2, 1), S(-6, 5)
Answer:
Solution given:
A(x,y))----reflection about x axis--->A'(x,-y)
P(2,1)---reflection about x axis----->Q(2,-1)
R(-6,-5)----reflection about x axis-->S(-6,5)
Answer:
A. Q(2, -1), S(-6,5)Step-by-step explanation:
Reflection rule across the x-axis:
(x, y) → (x, -y)P(2, 1) → Q(2, -1)R(-6, -5) → S(-6, 5)Correct choice is A
how do you prove each of the following theorems using either a two-column paragraph or flow chart proof?
triangle sum theorem-
triangle inequality theorem-
isosceles triangle theorem-
converse of the isosceles triangle theorem-
midsegment of a triangle theorem-
concurrency of medians theorem-
Answer:
Step-by-step explanation:
1) The Triangle Sum Theorem states that the sum of the angles in a triangle = 180°
2) The triangle inequality theorem states that the sum of any two sides of a triangle is larger than the third side
3) Isosceles triangle theorem states that the angles opposite the equal sides of an isosceles triangle are congruent
4) Converse of the Isosceles theorem states that the sides opposite the equal angles of an isosceles triangle are congruent
5) Midsegment of a triangle theorem states that the midsegment of two sides of a triangle is equal to half of the side it is parallel to
6) Concurrency of medians theorem states that the medians of a triangle intersect at a point within the triangle
Step-by-step explanation:
1) The Triangle Sum Theorem states that the sum of the angles in a triangle = 180°
Proof: To draw a triangle ABC starting from the point A we move 180° - ∠A to get to ∠B
From ∠B we turn 180° - ∠B to get to ∠C and from ∠C we turn 180° - ∠C to get back to A we therefore have turned 360° to get to A which gives;
180° - ∠A + 180° - ∠B + 180° - ∠C = 360°
Hence;
- ∠A - ∠B - ∠C = 360° - (180°+ 180°+ 180°) = -180°
-(∠A + ∠B + ∠C) = -180°
∴ ∠A + ∠B + ∠C = 180°
2) The triangle inequality theorem states that the sum of any two sides of a triangle is larger than the third side
Proof: Given ΔABC with height h from B to D along AC, then
AC = AB×cos∠A + CB×cos∠C
Since ∠A and ∠C are < 90 the cos∠A and cos∠C are < 1
∴ AC < AB + CB
3) Isosceles triangle theorem
Where we have an isosceles triangle ΔABC with AB = CB, we have by sine rule;
Therefore;
sin(C) = sin(A) hence ∠A = ∠C
4) Converse of the Isosceles theorem
Where we have an isosceles triangle ΔABC with ∠A = ∠C, we have by sine rule;
Therefore;
sin(C) = sin(A) hence AB = CB
5) Midsegment of a triangle theorem states that the midsegment of two sides of a triangle is equal to half of the side it is parallel to
Given triangle ABC with midsegment at DF between BA and BC respectively, we have;
in ΔABC and ΔADF
∠A ≅ ∠A
BA = 2 × DA, BC = 2 × FA
Hence;
ΔABC ~ ΔADF (SAS similarity)
Therefore,
BA/DA = BC/FA = DF/AC = 2
Hence AC = 2×DF
6) Concurrency of Medians Theorem
By Ceva's theorem we have that the point of intersection of the segments from the angles in ΔABC is concurrent when the result of multiplying ratio the ratios of the segment formed on each of the triangle = 1
Since the medians bisect the segment AB into AZ + ZB
BC into BX + XB
AC into AY + YC
Where:
AZ = ZB
BX = XB
AY = YC
We have;
AZ/ZB = BX/XB = AY/YC = 1
∴ AZ/ZB × BX/XB × AY/YC = 1 and the median segments AX, BY, and CZ are concurrent (meet at point within the triangle).
PLZ MARK ME BRAINLY
NEED HELP ASAP PLEASE PLEASE PLEASE
Answer:
tanθ=1.17
Step-by-step explanation:
please see the attachment below
Find the volume of the rectangular prism.
Volume =
_in?
7 in.
10 in.
7 in.
Answer:
490 in.^3
Step-by-step explanation:
volume = length * width * height
volume = 7 in. * 10 in. * 7 in.
volume = 490 in.^3
Volume = edge^(3).
Volume = (7)(10)(7) inches
Volume = 490in^3
Will give brainlst
Have a nice day
Answer:
answer for the 9 question
Please help immediately!!!
Answer:
x^2+y^2=5
25x^2+25y^2=1
x^2+y^2=0.25
x^×+y^2=0.0025
Thompson and Thompson is a steel bolts manufacturing company. Their current steel bolts have a mean diameter of 134 millimeters, and a standard deviation of 8 millimeters. If a random sample of 44 steel bolts is selected, what is the probability that the sample mean would differ from the population mean by greater than 3.6 millimeters? Round your answer to four decimal places.
; 134
a:8
n:44
3.6
3.6
P,ob.Z);Jlty : 1 - P(:
<z<-
[ - ]]p(-2.98 ' z ' 2.98)]
[ -]p(z ' 2.98) - p(z ' -2.98)]
[ - E0.9986 - 0.0014]
=0.0028
The probability that the sample mean would differ from the population mean by greater than 3.6 millimeters is approximately 0.0014.
To determine the probability that the sample mean would differ from the population mean by greater than 3.6 millimeters, we can use the Central Limit Theorem and assume that the sample mean follows a normal distribution.
Given:
Mean diameter of the population (μ) = 134 millimeters
Standard deviation of the population (σ) = 8 millimeters
Sample size (n) = 44
Difference from the population mean (d) = 3.6 millimeters
To find the probability, we need to calculate the z-score and then find the corresponding area under the normal curve.
First, calculate the standard error of the mean (SE):
SE = σ / sqrt(n)
SE = 8 / sqrt(44) ≈ 1.206
Next, calculate the z-score using the formula:
z = (x - μ) / SE
For a difference of 3.6 millimeters, we have:
z = (3.6 - 0) / 1.206 ≈ 2.988
Using a standard normal distribution table or a calculator, we can find the area to the right of the z-score (greater than 2.988). The area represents the probability.
P(z > 2.988) ≈ 0.0014
Rounding to four decimal places, the probability that the sample mean would differ from the population mean by greater than 3.6 millimeters is approximately 0.0014.
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PLS HELP I NEED THIS IN 2 HOURS PLS DO NOT GIVE ME A LINK FOR AN ANSWER
A parallelogram-shaped window has an area of 18 1/3 square feet. The height of the window is 3 feet. What is the length of the base of the window?
Answer:
The formula for the area of a parallelogram is base x height.
base x height = area
So, I will form an equation. b (base) x 3 ft (height) = 18 1/3
Next divide 3 from 18 1/3, so 18 1/3 divided by 3. This equals1 6 1/9
To check: 6 1/9 x 3 = 18.3333333333 or 18 1/3
Step-by-step explanation:
[tex]x {}^{2} - 2ax + a {}^{2} - b = 0[/tex]
Answer:
The answer is the last line.
Step-by-step explanation:
Use the quadratic formula
a = 1
b = -a
c = a^2 - b
x = -b +/- sqrt(b^2 - 4ac)
=================
2a
x = a +/- sqrt(a^2 - 4(1)*(a^2 - b)
========================
2
x = a +/- sqrt(a^2 - 4a^ + 4b)
=====================
2
x = a +/- sqrt(4b - 3a^2)
===================
2
helppp meee plsss i’m begging
Answer:
y = 9
Step-by-step explanation:
The cost per guest of catering an event of no more than 100 people is modeled by the function f(x) = 20 + 5x. The number of guests is modeled by the function g(x) = 100 −x , where x represents the number of guests fewer than 100 that attend. Evaluate(f ∙g )(18) and interpret what it means in the context of the problem.
Answer:
430 is the cost of catering 18 less than 100 guests.
Step-by-step explanation:
f(g(18))=f(100-18)=f(82)=20+5*82=430
Determine the degree of the polynomial 49xy+34y−72z.
The polynomial 49 · x · y + 34 · y - 72 · z has three variables (x, y, z) and each of these variables has a degree of 1.
How to determine the degree of a polynomial
Variables and degrees are the most important features in polynomials. A variable is a letter that represents at least one value of an expression and the degree of the variable is the maximum number of the exponent associated to the variable. According to the statement, the polynomial has three variables (x, y, z), each of them has an degree of 1, that is:
grade (x) = 1, grade (y) = 1, grade (z) = 1
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Please help me and actually give me a proper answer pleaseeee I beg youuuu
Answer:
A
Step-by-step explanation:
To figure out when the object hit the ground you need to set h(t)=0, after this you need to find the number that when it is plugged in for t makes the equation equal to 0
greg is at a used bookstore. Paperback books cost $1 each, and hardcover books cost $2 each. Greg can spend up to $20 in all. Write and inequality that represents this situation. Let x be the number of paperback books, and let y be the number of hardcover books.
Step-by-step explanation:
Cost of paperback books = $1x = $x
Cost of hardcover books = $2y
Given Greg can spend a MAXIMUM of $20,
Cost of Paperback books + Cost of hardcover books must be at most 20.
Inequality of this situation =
[tex]x + 2y \leqslant 20[/tex]
What is the radius of the button? 26 millimeters
Answer:
13
Step-by-step explanation:
Answer:
13
Step-by-step explanation:
hi lol Idek anyways tell me if its wrong
PLS HELP ASAP!!!!!!!!!!!
2nd one
I don't take animal biology/zoology or whatever but I think it's just a long winded version of saying camouflage
Answer:
I am pretty sure the answer is B. (The second one)
Step-by-step explanation:
what is 286,713 rounded to the nearest ten thousand?
Answer:
290,000
Step-by-step explanation:
sorry if wrong
What is the value of m in the following equation? 'm = 8 * 5 points
I arrive at a bus stop at a time that is normally distributed with mean 08:00 and SD 2 minutes. My bus arrives at the stop at an independent normally distributed time with mean 08:05 a.m. and SD 3 minutes. The bus remains at the stop for 1 minute and then leaves. What is the chance that I miss the bus
Answer:
0.0485 = 4.85% probability that you miss the bus.
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
When two normal distributions are subtracted, the mean is the subtraction of the means, while the standard deviation is the square root of the sum of the variances.
In this question:
We have to find the distribution for the difference in times between when you arrive and when the bus arrives.
You arrive at 8, so we consider the mean 0. The bus arrives at 8:05, 5 minutes later, so we consider mean 5. This means that the mean is:
[tex]\mu = 0 - 5 = -5[/tex]
The standard deviation of your arrival time is of 2 minutes, while for the bus it is 3. So
[tex]\sigma = \sqrt{2^2 + 3^2} = \sqrt{13}[/tex]
The bus remains at the stop for 1 minute and then leaves. What is the chance that I miss the bus?
You will miss the bus if the difference is larger than 1. So this probability is 1 subtracted by the pvalue of Z when X = 1.
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{1 - (-5)}{\sqrt{13}}[/tex]
[tex]Z = \frac{6}{\sqrt{13}}[/tex]
[tex]Z = 1.66[/tex]
[tex]Z = 1.66[/tex] has a pvalue of 0.9515
1 - 0.9515 = 0.0485
0.0485 = 4.85% probability that you miss the bus.
Without graphing the equations, decide whether the system has one solution, no solution, or infinitely many solutions.
2y = x - 7
5x - 4y = 14
How many solutions does the system have?
A. Infinitely many solutions
B. One solution
C. No solution
Help ASAP plzzzzzzzzz
Answer:
The answer is D
Step-by-step explanation:
It should be the only one to fit the sequence
Which expression is equivalent to 16+2·36?
f 2^4 + 2^3 ⋅ 3^2
g 2^3 + 2^3 ⋅ 3^2
h 2^4 + 2^2 ⋅ 3^2
j 2^3 + 2^2 ⋅ 3^3
9514 1404 393
Answer:
f 2^4 + 2^3 ⋅ 3^2
Step-by-step explanation:
16 +2·36 = 16 +2·4·9 = 16 +8·9
= 2^4 + 2^3 · 3^2 . . . . . matches choice F
_____
Since you're familiar with your multiplication tables, you know ...
4 = 2·2
8 = 2·4 = 2·2·2 = 2^3
16 = 2·8 = 2·2·2·2 = 2^4
9 = 3·3 = 3^2
36 = 4·9
The exponent signifies repeated multiplication.
Answer:
f 2^4 + 2^3 ⋅ 3^2
Step-by-step explanation:
What is the area of a circle with a radius of 1 foot?
Answer:
C. π ft ²
Step-by-step explanation:
:)
Answer:
c. 3.14^2
Step-by-step explanation:
A= pi × R^2
have a good day
Solve the Linear-Quadratic System of Inequalities. Shade the solution on the graph provided.
y > x^2 - 1
-1/2x + 3 < y
Answer:
We have the system:
y > x^2 - 1
y < (-1/2)*x + 3
To find the solutions of this set we need to graph the solutions range of both sets, and see the intersection between these solution ranges.
How we do it?
Start with the first one.
First, we graph the equation:
y = x^2 - 1
Now because we are using the symbol ">" means that y is smaller than the thing at the right, then the graph of the equation will be with a dashed line (which means that the points on the line are not solutions) and we will shade all the region above the line
For the other inequality we do the same:
First we graph:
y = (-1/2)*x + 3
And because we have the symbol "<" we again use a dashed line, but this time we will shade all the region below the line.
Once we shaded both regions, the region where we have both shades will be the region of solutions for the system of inequalities.
You can see the graph below.
1.
Mr Rankhakile receives a statement from the bank every month with regards to the
vehicle he purchased.
The cash price of the vehicle was R151 140 but since Mr Rankhakile didn't have
enough money in cash, he bought the car on hire-npurchase. An example of one of his
statements is given in ANNEXURE A. Study ANNEXURE A and answer the
questions that follow. Write down the street name used on this statement
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The 2nd term of an exponential sequence is 9 while the 4th term is 81.find the common ratio,the first term and the sum of the first five terms of the sequence
Answer:
second term: 9
4th term:81
[tex](3rd \: term)^{2} = 9 \times 81[/tex]
=729
[tex] \sqrt{729} = 27[/tex]
3rd term=27
[tex] {9}^{2} = a1x27 \\ 81 = 27a1[/tex]
a1=3 the first term
[tex]81 = 3 \times {q}^{3} [/tex]
[tex] {q}^{3} = 27[/tex]
q=3
[tex]s = 3x \frac{1 - {3}^{5} }{1 - 3} = 364.5[/tex]
Please help me ill mark brainlyest if correct
Answer:
50m²
Explanation:
first, we have to find the length and width of the backyard. since 4cm represents 5m, we know that the real width of the backyard is 5m.
as for the length of the backyard, 8cm is double of 4cm so we can also double 5m to get 10m.
now, we can find the area by taking 5m × 10m = 50m².
i hope this helps! :D
f) 2(x +3) = 8 - 3 (x-4)
Answer: x = 14/5. Because first we Distribute and get 2x + 6 = 8 - 3(x-4) then, we Distribute it again 2x + 6 = 8 - 3x + 12 then we Add the numbers and get 14/5
Answer:
x = 2.8Step-by-step explanation:
2(x +3) = 8 - 3 (x-4)
=> 2x + 6 = 8 - 3x + 12
=> 2x + 3x = 8 - 6 + 12
=> 5x = 14
[tex] = > x = \frac{14}{5} [/tex]
=> x = 2.8 (Ans)
Select all the conditions for which it is possible to construct a triangle. A triangle with side lengths 4 cm, 5 cm, and 15 cm A triangle with side lengths 5 cm, 5 cm. and 10 cm. A triangle with side lengths 3 cm. 5 cm. and 7 cm A triangle with side lengths 4 cm, 5 cm. and 6 cm.
9514 1404 393
Answer:
A triangle with side lengths 3 cm. 5 cm. and 7 cm A triangle with side lengths 4 cm, 5 cm. and 6 cm.Step-by-step explanation:
The sum of the short two sides must exceed the length of the longest side. That is not the case for lengths {4, 5, 15} or {5, 5, 10}.
Triangles can be formed from {3, 5, 7} and {4, 5, 6}.