Answer:
positive
Step-by-step explanation:
if you subtract a negative number, it’s the same as adding a positive number. If you add 2 positive numbers, you get a positive number, so the expression is positive.
an electronics company is designing a watch with a face that is in the shape of a hexagon and two congruent trapezoids attached. the heights of the trapezoids and the apothem of the hexagon measure 2 centimeters each, and the legnth of the shorter base of each trapezoid is 1.5 centimeters. what is the total area of the face of the watch to the nearest tenth of a square centimemter?
The total area of the face of the watch to the nearest tenth of a square centimemter is 9.0 cm²
Since an electronics company is designing a watch with a face that is in the shape of a hexagon and two congruent trapezoids attached. The heights of the trapezoids and the apothem of the hexagon measure 2 centimeters each, and the length of the shorter base of each trapezoid is 1.5 centimeters, the radii of the hexagon, and the base of the trapezoid form a triangle of
height, h = apothem of the hexagon = 2 cm and base, b = length of shorter base of trapezoid. Area of the triangleSo, the area of this triangle is A = 1/2bh
= 1/2 × 1. 5 cm × 2 cm
= 1.5 cm × 1 cm
= 1.5 cm²
Area of the hexagonSince there are 6 of such triangles in the hexagon, the area of the hexagon, A' = 6A
= 6 × 1.5 cm²
= 9.0 cm²
So, the total area of the face of the watch to the nearest tenth of a square centimemter is 9.0 cm²
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What is the probability that the sampling error made in estimating the population mean salary of all classroom teachers by the mean salary of a sample of 64 classroom teachers will be at most $1000?
Using the normal distribution and the central limit theorem, it is found that there is a 0.5934 = 59.34% probability that there is an error of at most $1000.
Normal Probability DistributionIn a normal distribution 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]
It 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, which is the percentile of X.By the Central Limit Theorem, the sampling distribution of sample means of size n has standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].Researching the problem on the internet, it is found that the population has mean and standard deviation given, respectively, by [tex]\mu = 57300, \sigma = 9600[/tex].
For samples of 64, the standard error is given by:
[tex]s = \frac{9600}{\sqrt{64}} = 1200[/tex]
The probability of an error of at most $1000 is the probability of a sample mean between $56,300 and $58,300, which is the p-value of Z when X = 58300 subtracted by the p-value of Z when X = 56300, hence:
X = 58300:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
By the Central Limit Theorem:
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{58300 - 57300}{1200}[/tex]
Z = 0.83
Z = 0.83 has a p-value of 0.7967.
X = 56300:
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{56300 - 57300}{1200}[/tex]
Z = -0.83
Z = -0.83 has a p-value of 0.2033.
0.7967 - 0.2033 = 0.5934.
0.5934 = 59.34% probability that there is an error of at most $1000.
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Evaluate the following expression. Round your answer to two decimal places.
logz 11
2.18?
2.40?
0.46?
0.84?
The correct answer would be- A: 2.18
Design An art class is making a mural for their school which has a triangle drawn in the middle.
The length of the bottom of the triangle is X. Another side is 5 more than four times the length of the
bottom of the triangle. The last side is 11 more than the bottom of the triangle. Write and simplify
an expression for the perimeter of the triangle.
Answer:
6x+16
Step-by-step explanation:
Bottom :x
Side1:4x+5
Side2:x+11
perimeter = x+4x+5+x+11
=6x+16
If I were to be walking 8MPH How fast would I be walking per minute? PLEASE HELP. (Hint: Half of 8MPH is 4, so that would be 4 Miles every 30 minutes.)
Answer:
0.13 miles per minute
Step-by-step explanation:
If you walk 8 miles in an hour, that is 8 miles per 60 minutes. We can divide 8 by 60 to get the miles per minute because there are 60 minutes in an hour. 8/60 = 0.13 (3 is repeating)
Question below .....
 Find the length of the third side. If necessary, write in simplest radical form.
IMAGE DOWN BELOW!
SOMEONE PLEASE HELP ME!! ILL GIVE YOU BRAINLIST ANSWER
Answer:
7
Step-by-step explanation:
As it is a RIGHT triangle, the formula is a^2+b^2=c^2.
We are given one leg and the hypotenuse. That means 4^2x2+b^2=81.
To find 4 root 2 square, you square them individually then multiply.
4^2=16 times 2 (root 2 squared is 2).
Simplified, that gives 16x2=32,
81-32=49.
The last leg is seven.
Laura’s birthday party has three different colored tables: pink, purple, and green. The pink table has 8 seats. The purple table has 10 seats, and the green table has 8 seats. Laura will assign seats as her friends arrive at her party. What is the probability that the first guest at the party will be placed at the pink table?
Find the measure of the angle given
Step-by-step explanation:
This is a cyclic quadrilateral, so angles E and P are supplementary.
Since angle P is 100 degrees, angle E is 180-100=80 degrees.
There is a bag filled with 4 blue and 5 red marbles.
A marble is taken at random from the bag, the colour is noted and then it is replaced.
Another marble is taken at random.
What is the probability of getting 2 blues?
Answer:
16/81
Step-by-step explanation:
Given
In the bag, there are : 4 blue and 5 red marblesProbability of blue (1st time)
P(1) = Total blue / Total marblesP(1) = 4 / (4 + 5)P(1) = 4/9Probability of blue (2nd time)
P(2) = Total blue / Total MarblesIt states it is replaced hence it is of the same constitution as the beginningP(2) = 4/9Probability of blue (both times)
P = P(1) x P(2)P = 4/9 x 4/9P = 16/81A company is sued for job discrimination because only 39% of the newly hired candidates were minorities or women when 47% of all applicants were minorities or women. Is this strong evidence that the company’s hiring practices were discriminatory? a) Is this a one-tailed or two-tailed test? b) In this context what is a Type I error? c) In this context what is a Type II error? d) Which type error would the company consider to be more serious? e) Which type error might job applicants consider to be more serious?
The research is a one-tailed test because the company won't be sued if many minorities were hired.
How to illustrate the research?In the context, the type I error will be deciding the company is discriminating or not. The type II error will be deciding the company is not discriminating when it is.
The power of the test is the probability of correctly detecting actual discrimination. The type of error that the company consider to be more serious is the type I error.
In conclusion, the type of error that job applicants might consider to be more serious is type II error.
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Please help!!
Sorry for the bad quality
Answer:
For the table I got 18 for the 5, 36 for the ten and not sure on the last one for the table and for the last one I got approx 5 mins but I’m not too sure
Step-by-step explanation:
Answer:
A.
5 mins = $5.20
10 = $7.20
M - i can't calculate that without having more info but the equation would be (M × 0.40) + 3.20 = Total amount in dollars.
B. 42 minutes
Step-by-step explanation:
Use the equation I listed before for A.
For B. 20.00 - 3.20 = 16.80. 16.80/0.40 = 42.
you should give me brainliest if im right
Given quadrilateral ABCD with vertices A(0, 0), B(3, 4), C(8, 4), and D(5, 0). Complete the statements
below.
Part A: The quadrilateral ABCD is a
A. rectangle
B. rhombus
C. square
D. trapezoid
Part B: The quadrilateral ABCD can be identified as the geometric shape in Part A because
A. all sides are congruent
B. only two sides are parallel
C.
- opposite sides are parallel and congruent
D. the diagonals are congruent
Answer:
Part A:
B. rhombus
Part B:
C. Opposite sides are parallel and congruent
find the measure of angle 8
Answer:
99 degrees.
Step-by-step explanation:
m < 8 = 99 (corresponding angles are congruent).
If £2000 is placed into a bank account that pays 3% compound interest per year how much will be in the account after two years
Answer:
£2121.8
Step-by-step explanation:
2000 X 1.03 X 1.03 = 2121.8
Which graph represents the solution to the given system? Y=5x+4 and 5=5x-3
y = 5(x) + 4
for this function,
y-intercept: 4x-intercept:-0.85=5(x)-3
for this function,
y-intercept: nonex-intercept: 1.62x8 - (29x34)+ 38-12 (4x960)=
Work in groups of 4 to find the areas of these regular polygons.
12
14
What is Earth's diameter, rounded to the nearest whole number?
Answer:
7918
Step-by-step explanation:
If you round Earth's diameter, I believe that it is 7,918 miles.
someone please help
Answer:
[tex]g(g(x)) = {x}^{4} + 14 {x}^{2} + 56 [/tex]
[tex]h(h(x)) = x[/tex]
Step-by-step explanation:
[tex]g(x) = {x}^{2} + 7[/tex]
[tex]g(g(x)) = {( {x}^{2} + 7)}^{2} + 7 [/tex]
[tex]g(g(x)) = {x}^{4} + 14 {x}^{2} + 49 + 7 = {x}^{4} + 14 {x}^{2} + 56 [/tex]
[tex]h(x) = \frac{5}{9x} [/tex]
[tex]h(h(x)) = h( \frac{5}{9x} )[/tex]
[tex]h(h(x)) = \frac{5}{9( \frac{5}{9x} )} = \frac{5}{ \frac{5}{x} } = 5( \frac{x}{5}) = x [/tex]
Paulina is driving 25 miles per hour. Which equation can be used to determine d, the distance Paulina traveled in miles after h hours?
Applying the relation between speed, distance and time, we made distance subject of formula hence the expression for distance is
d = 25*h
Speed, Distance and TimeGiven Data
Speed = 25 miles per hoursDistance = d milesTime traveled = h oursWe know that the expression showing the relationship between speed, distance and time is given as
Speed = Distance/Time
Substituting our given data we have
25 = d/h
Making distance subject of formula we have
25*h = d
d = 25*h
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Find the zeros using the quadratic formula x^2-5x+4=y.
Answer:
(x-4) (x-1)
Step-by-step explanation:
X-4=0
x=4
X-1=0
X=1
Solve the math problem
Answer:
a no association b non liner c liner d liner
Answer:
A) No association
B) Nonlinear
C) Linear
D) Nonlinear
Step-by-step explanation:
Linear Relationship: A linear relationship is one in which the scatter plot resembles a straight line. When one variable increases, the other variable increases or decreases proportionally.
Nonlinear Relationship: A nonlinear relationship is one in which the scatter plot does not resemble a straight line. It could resemble a curve or it could not resemble anything at all. A proportional increase or decrease in one variable does not result in a proportional rise or decrease in the other variable.
No Association: a graph of data showing discrete (individual) points of data that are not connected.
Using these definitions we can conclude whether the graphs are linear, nonlinear, or no association.
Write the quadratic equation in standard form: -7x+11= −2x^2
Answer:
[tex]x=\frac{7-\sqrt{137} }{4} =-1.76[/tex]
Step-by-step explanation:
which equation represents a line which is perpendicular to the line x-5y=-40
Answer:
Final answer -
[tex]equation \: of \: such \: line \dashrightarrow \: y = - 5x + b \\ [/tex]
hope helpful :D
Factor x2 + 16 completely.
a (x + 4)(x + 4)
b (x + 4)(x − 4)
c Prime
d (x − 4)(x − 4)
Prime
Solution:Let's factor this expression.x^2+16The expression is prime.Let's see why all the other options are wrong.Option A) (x+4)(x+4)x*xx*44*x4*4This makes x^2+8x+16, not x^2+16.Hope it helps.
Do comment if you have any query.
Answer:
prime
Step-by-step explanation:
I tried to delete my answer
Write 9/10 as an equivalent fraction with a denominator of 100 then write the fraction as a decimal
Answer:
Since the denominator has to be 100 and 9/10, 0.90, and 90% are all equal the you would just need to make the 9 into a 90. Therefore, yout answer will be 90/100.
In circle H with m∠GHJ=66 and GH=10 units, find the length of arc GJ. Round to the nearest hundredth
Answer:
Step-by-step explanation:
arc length= central length/360 (circumference)
GJ=90/360 (2π20)
GJ= 31.42
31.42
The length of arc GJ is 11.5133 unit.
What is Arc length?In geometry, the arc length refers to the length of a portion of a curve or an arc of a circle. It is the distance along the curve between two endpoints of the arc.
We have,
m <GHJ = 66 and GH = 10 unit
Now, using arc length formula
= nπr / 180
= 66 x 3.14 x 10/ 180
= 11.5133 unit
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#SPJ2
ᴡʜᴀᴛ ɪꜱ ᴛʜᴇ ꜱᴜʀꜰᴀᴄᴇ ᴀʀᴇᴀ ᴏꜰ ᴀ ʙᴀꜱᴇʙᴀʟʟ ᴡɪᴛʜ ᴀ 3 ɪɴᴄʜ ᴅɪᴀᴍᴇᴛᴇʀ.
ᴜꜱᴇ 3.14 ꜰᴏʀ ᴘɪ
113.04 sq. in
28.26 sq. in
18.84 sq. in
9.42 sq. in
Answer:
As Per Provided Information
We have to use π = 3.14
Diameter of baseball is 3 inch
So, Radius of Baseball will be
Radius = Diameter/2Radius = 3/2 inch
Radius = 1.5 inch
we have been asked to determine the surface area of given baseball .
Using Formulae
[tex] \boxed {\bf \: Surface \: Area_{(Baseball)} \: = 4 \pi {r}^{2} }[/tex]
substituting the value and let's solve it
[tex] \longrightarrow\tt \:Surface \: Area_{(Baseball)} \: = 4 \times 3.14 \times {1.5}^{2} \\ \\ \\ \longrightarrow\tt \:Surface \: Area_{(Baseball)} \: = \: 4 \times 3.14 \times 2.25 \\ \\ \\ \longrightarrow\tt \:Surface \: Area_{(Baseball)} \: = \: 12.56 \times 2.25 \\ \\ \\ \longrightarrow\tt \:Surface \: Area_{(Baseball)} \: = \: 28.26 \: {inch}^{2} [/tex]
Therefore,
Surface Area of baseball is 28.26 sq. inch .So, your answer is 28.26 sq.in
Can anyone pls draw the reflected shape for the middle one the lines are mirror lines 50 points for this
Step-by-step explanation:
All drawn are correct except the middle one you need to draw down the shape size of given parallelogram
Just count the diagonal from each of the to the line and draw the points
