Answer:
f(-2)=4
Step-by-step explanation:
put -2 where x is
f(x)=2x²+x-2
f(-2)=2(-2)²+(-2)-2
f(-2)=(2*4)-4
f(-2)=8-4
f(-2)=4
solve for x in the following equations
Answer:
2.
[tex]x = \frac{11}{4} = 2 \frac{3}{4} = 2.75[/tex]
3.
[tex]x = \frac{5}{2} = 2 \frac{1}{2} = 2.5[/tex]
4.
[tex]x = \frac{3}{7} ≈0.428571429[/tex]
Volume of a cube with a side length of 18.8m
Answer:
[tex]6644.672~ m^3[/tex]
Step-by-step explanation:
[tex]\text{Volume} = (18.8)^3~ m^3 = 6644.672~ m^3[/tex]
CIRCLE THEOREM (CHECK PHOTO)
O is the centre of this circle.
Calculate the size of angle x.
Show all of your working and state any theorems that you use.
N = 80°
M and J are common arcs
K = 128⁰
L & J are common arcs
Not drawn accurately
I got 52 but it’s not right and I’ve tried this question twice - would love to know if you get something different
I used cyclic quad theorem and angles to the centre is x2 circumference rule
Find the area of the sector
Answer:
10:
7/4π = 5.5(1decimql place)
11:
50π = 157.1(1 decimal place)
Step-by-step explanation:
the equation is (angle/360) X πr^2
Greg wants to buy a drum set he saw at the market. It costs $250. Greg has $123
How much more does he need? Type your answer in the box.
The amount Greg needed more to balance the cost of drum set if it cost $250 and he has $123 is $127
How to solve equation?Total cost of drum set = $250Amount with Greg = $123Amount needed = mTotal cost = Available amount + needed amount
250 = 123 + m
subtract 123 from both sides
250 - 123 = m
127 = m
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Cassandra's Cogs advertises on its website that 90% of customer orders are received within three working days. They performed an audit from a random sample of 100 of the 2,500 orders that month and it shows 85 orders were received on time. Part A: Can we use a normal approximation? Explain. (5 points) Part B: If Cassandra's Cogs customers receive 90% of their orders within three working days, what is the probability that the proportion in the random sample of 100 orders is the same as the proportion found in the audit sample or less? (5 points)
Using the Central Limit Theorem, we have that:
a) Yes, it can be used, as np > 10 and n(1 - p) > 10.
b) There is a 0.0475 = 4.75% probability that the proportion in the random sample of 100 orders is the same as the proportion found in the audit sample or less.
Normal Probability DistributionThe z-score of a measure X of a normally distributed variable with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex] is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The z-score measures how many standard deviations the measure is above or below the mean. Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.By the Central Limit Theorem, for a proportion p in a sample of size n, the sampling distribution of sample proportion is approximately normal with mean [tex]\mu = p[/tex] and standard deviation [tex]s = \sqrt{\frac{p(1 - p)}{n}}[/tex], as long as [tex]np \geq 10[/tex] and [tex]n(1 - p) \geq 10[/tex].For the sample, we have that:
np = 85 > 10.n(1 - p) = 15 > 10.Hence the normal approximation can be used.
As for part B, if we have p = 0.9 and n = 100, the mean and the standard error are given by:
[tex]\mu = p = 0.9[/tex].[tex]s = \sqrt{\frac{p(1 - p)}{n}} = \sqrt{\frac{0.9(0.1)}{100}} = 0.03[/tex]The probability of a sample proportion of 85% of less is the p-value of Z when X = 0.85, hence:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
By the Central Limit Theorem
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{0.85 - 0.9}{0.03}[/tex]
Z = -1.67
Z = -1.67 has a p-value of 0.0475.
There is a 0.0475 = 4.75% probability that the proportion in the random sample of 100 orders is the same as the proportion found in the audit sample or less.
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The graph below represents the distance of a dog from a trainer after a command is given.
The dog stopped to lie down and obey the trainer’s command.
The dog was running towards the trainer to receive a treat.
The dog was running away from the trainer to chase a squirrel.
The dog was stopped but began running towards the trainer.
The dog was running toward the trainer to receive a treat the correct answer is option B.
What is a graph?A graph is the representation of the data on the vertical and horizontal coordinates so we can see the trend of the data.
At the point on the graph where Time is 5 (seconds), the slope of the distance vs time curve is negative, indicating the dog is moving toward the trainer. The motivation of the dog is unknown, so the above answer choice involves speculation that is not supported by the problem statement.
Therefore the dog was running toward the trainer to receive a treat the correct answer is option B.
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F 6. A carpenter bought a table for 3500. He spent 500 on repairing and painting it. He then sold it for 3500. What was his profit or loss?
Answer:
the carpenter lost 500
Step-by-step explanation:
if he bought the table for 3500 and spent an additional 500 on repairs but only sold it for 3500 he didn't make a profit and lost 500
Multiply 2/3 • 5/8 simplify your answer , if possible
Answer:
5/12
Step-by-step explanation: 2/3 x 5/8 Multiply the numerators ( top numbers) and the denominators ( bottom numbers ) 2x 5= 10 3x8=12 Simplify by 2 Answer=5/12
he life of light bulbs is distributed normally. The variance of the lifetime is 625 and the mean lifetime of a bulb is 540 hours. Find the probability of a bulb lasting for at most 569 hours. Round your answer to four decimal places.
Using the normal distribution, it is found that there is a 0.877 = 87.7% probability of a bulb lasting for at most 569 hours.
Normal Probability DistributionThe z-score of a measure X of a normally distributed variable with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex] is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The z-score measures how many standard deviations the measure is above or below the mean. Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.The mean and the standard deviation are given, respectively, by:
[tex]\mu = 540, \sigma = \sqrt{625} = 25[/tex]
The probability of a bulb lasting for at most 569 hours is the p-value of Z when X = 569, hence:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{569 - 540}{25}[/tex]
Z = 1.16
Z = 1.16 has a p-value of 0.877.
0.877 = 87.7% probability of a bulb lasting for at most 569 hours.
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The diameter of a circle is 18 centimeters. What is the circle's circumference?
Answer:
Circumference ≈ 56.55
Step-by-step explanation:
Given:
Diameter = 18 cmTo Find:
The circumference of the circleSolution:
Here we'll use the formula of finding the circumference,i.e :
[tex] \boxed{\rm \: C = πd}[/tex]
Here, d = diameterThe value of π is not given, so let us take π = 3.14C = circumferenceSubstitute them onto the formula:
d = 18 cmπ = 3.14[tex]\rm C = \pi(18) \: cm[/tex]
[tex]\rm C = 3.14 \times 18 \: cm[/tex]
[tex] \boxed{\rm C \approx \: 56.55}[/tex]
Hence, the circumference of the circle is 56.55(approx).
1+2-3+4+5-6+7+8-9...+97+98-99
Answer:
1584
Step-by-step explanation:
The sum of this sequence can be found a number of ways. One way is to recast it as the series whose terms are groups of three terms of the given series.
__
series of partial sumsThe partial sums, taken 3 terms at a time, are
1+2-3 = 0
4+5-6 = 3
7+8-9 = 6
...
97+98-99 = 96
So the original series is equivalent to ...
0 +3 +6 +... +96 = 3×1 +3×2 +... +3×32 = 3×(1 +2 +... +32)
That is, the sum is 3 times the sum of the consecutive integers 1..32.
__
consecutive integersThe sum of integers 1..n is given by the equation ...
s(n) = n(n+1)/2
__
series sumUsing this to find the sum of our series, we find it to be ...
series sum = 3 × (32)(33)/2 = 1584
_____
Alternate solution
The given series is the sum of integers 1-99, with 6 times the sum of integers 1-33 subtracted. That is, ...
1 + 2 - 3 + 4 + 5 - 6 = 1+2+3+4+5+6 -2(3 +6) = 1+2+3+4+5+6 -6(1+2)
Continuing on to ...97 +98 -99 gives the result s(99) -6s(33).
Computed that way, we find the sum to be ...
(99)(100)/2 -6(33)(34)/2 = 4950 -3366 = 1584
which quadrilateral is a trapezoid?
The quadrilateral with two sides parallel and the other two sides intersecting is a trapezoid.
What is a trapezoid?The figure with the four sides and the sum of the angles with 360 degrees are called a quadrilateral.
A trapezoid is a quadrilateral because it has four sides and the sum of the angles of all the sides is 360 degrees. The quadrilateral is a trapezoid because it has two sides parallel and the other two sides are intersecting.
Therefore the quadrilateral with two sides parallel and the other two sides intersecting is a trapezoid.
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Connor wants to divide 360 jellybeans into equal groups. He wants each group to have more than 5 jellybeans, but less than 100. What are three possible groupings Connor can make?
one group made up of 12 can each have 50 = 600
Answer:
One way is that there can each be 99 for each. 99x3= 297 which, isn't too far from 360. Another way is that they can each have 50. 50x3=150. The last way is to have them each have 30. 30x3=90.
Step-by-step explanation: Hope I helped at least a little bit. Give brainliset to best answer. I don't think my answer was that good. Let me know if it helped at all.
need a little help!!!
Val measures the diameter of a ball as 14 inches. How many cubic inches of air does this ball hold, to the
nearest tenth? Use 3.14 for *.
The ball holds about
cubic inches of air.
People of different ages were asked the question "Do you listen to audiobooks?” The bar chart displays the percentage of "yes” responses in each age group.
A bar graph titled audiobook listeners has age on the x-axis and relative frequency on the y-axis. 13 to 17, 0.08; 18 to 25, 0.15; 26 to 35, 0.23; 36 to 45, 0.45; 46 and over, 0.47.
Based on the bar graph, the true statement is that: C. more 36- to 45-year-olds listen to audiobooks than 26- to 35-year-olds.
What is a bar graph?A bar graph is used for the graphical representation of data, especially by using rectangular bars or vertical columns.
How to interpret the bar graph?From the information provided, we can deduce the following points about the audiobook listeners:
Age Relative frequency
13 to 17 0.08
18 to 25 0.15
26 to 35 0.23
36 to 45 0.45
46 and over 0.47
Based on the frequency table for the bar graph, we can logically deduce that more 36 to 45-year-olds with a frequency of "0.45" listen to audiobooks than 26 to 35-year-olds with a frequency of "0.23."
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Complete Question:
People of different ages were asked the question "Do you listen to audiobooks?" The bar chart displays the percentage of "yes" responses in each age group. Which of the following statements is correct?
A. More 18- to 25-year-olds listen to audiobooks than 26- to 35-year-olds.
B. Fewer 18- to 25-year-olds listen to audiobooks than 13- to 17-year-olds.
C. More 36- to 45-year-olds listen to audiobooks than 26- to 35-year-olds.
D. Fewer 36- to 45-year-olds listen to audiobooks than 26- to 35-year-olds.
Will give 50 points for answer to this question please help
Answer:
The 3rd one (y_< 2/3 x + 1/5) If this helps please mark brainiest! :)
EASY POINTS Which of the following statements is true?
Answer:
B.
Step-by-step explanation:
They form a right angle.
Answer:
B
Step-by-step explanation:
if A were true, this hole shape could not be a triangle as AC and BC would be parallel and never have an intersecting point.
C - the line BC intersects the line EC but only at the very end point. but to bisected means to split it in half, so the intersection would have to be in the middle.
D - the line AC is only perpendicular to DE, and while DE is a perpendicular bisector to AC, AC itself does not split anything in half.
A group of 25 classmates visits an amusement park. When they arrive, 3/5 of the students want to ride the fastest roller coaster first. How many students is this?
Find 3/5th of the classmates
3/5 of 253/5(25)3(5)15studentsThey are 15 students
Answer:
15 students
Step-by-step explanation:
To find 3/5 of 25 students, simply swap the word "of" for the multiplication symbol and calculate:
[tex]\begin{aligned}\sf \dfrac{3}{5}\:of\:25\:students & = \sf \dfrac{3}{5} \times 25\\\\& = \sf \dfrac{3 \times 25}{5}\\\\& = \sf \dfrac{75}{5}\\\\& = \sf 15\:students\end{aligned}[/tex]
The normal yearly growth of a plant is 60 inches. The normal growth was ten inches more than twice the amount of last year. What was the growth of the plant last year?
The growth of the plant last year was 25 inches if the normal growth was ten inches more than twice the amount of last year.
What is linear equation?It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.
The normal yearly growth of a plant is 60 inches.
Let's suppose the growth of the plant last year was x
The normal growth was ten inches more than twice the amount of last year.
From the above statement:
10 + 2x = 60
2x = 50
x = 25 inches
Thus, the growth of the plant last year was 25 inches if the normal growth was ten inches more than twice the amount of last year.
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Jimmy invests $25,000 into the stock market which generates 5% interest compounded every month. How much money will he have after 7 years?
Answer:
35177.51057 (Rounded - 35177.5)
Step-by-step explanation:
Compound Interest -
- Recalculates how much you should be getting
The format will ALWAYS be y=[tex]ab^x[/tex]
A = Starting Value
B = Multiplier
X = Time (years)
5% = .05
1.00 + .05 = 1.05%
y=25,000(1.05)^7
= 35177.51057
Let me know if i did anything wrong <3
Which of these is not represented by one of the letters in PITI?
OA. Title
O
B. Principal
о C. Insurance
O
D. Interest
The option not represented by one of the letters in PITI is (a) Title
How to determine the letter not represented?The acronym is give as:
PITI
The meaning of the above acronym is:
P -> PrincipalI ->InterestT -> TaxesI -> InsuranceFrom the list of given options, we can see that Title is not represented in the letters
Hence, the option not represented by one of the letters in PITI is (a) Title
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The option which is not represented by one of the letters in PITI is,
(a) Title
We have to given that,
The acronym is give as:
⇒ PITI
Since, We know that,
The full form of the above acronym PITI is:
P = Principal
I = Interest
T = Taxes
I = Insurance
Hence, From the list of given options, we can see that Title is not represented in the letters
Therefore, the option not represented by one of the letters in PITI is (a) Title
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(PLEASE SOMEONE HELP BRO). Use the drop-down to complete the following inequality. 
Answer:
<
Step-by-step explanation:
negative + positive = positive - positive
positive - negative = positive + positive
a = positive b = negative
a+b < a-b
Answer:
<
a + b is smaller than a - b as b is in the realm of negative numbers.
A circular plate has circumference 25 7 inches.what is the area of the plate
Answer:
52.56 square inches.
Solve for x.
Your answer must be simplified.
−x<−29
Step-by-step explanation:
if you made no typo or left things out, this is very simple :
-x < -29
x > 29
remember that when you multiply an inequality by -1 (or any negative value), the orientation of the inequality changes.
-15ade - 13a factor this pls
Answer:
a(15de-13)
Step-by-step explanation:
just find the variable(s) that both terms have and take it out and put it off to the side like so
Cheng likes a modern lawn sculpture made of four identical solid right pyramids with square bases. He decides to create an exact copy of the sculpture, so he needs to know what volume of sculpting material to purchase.
2 identical solid right pyramids with square bases are connected at the square base. Another 2 are connected in the same way and are stacked on top of the other 2 pyramids. The length of the base edge is 2 feet and the height of the whole structure is 6 feet.
He measures each edge of each base to be 2 feet. The height of the whole sculpture is 6 feet.
Volume is a three-dimensional scalar quantity. The amount of sculpting material needed is 8 ft³.
What is volume?A volume is a scalar number that expresses the amount of three-dimensional space enclosed by a closed surface.
Since the pyramid is stacked one over the other, the total height of the sculpture is the sum of the four pyramid heights, therefore, the height of each pyramid is 1.5 ft.
The volume of the complete sculpture = 4(Volume of a single pyramid)
= 4[(1/3) × (2 ft)² × 1.5 ft]
= 4(2 ft³)
= 8 ft³
Hence, the amount of sculpting material needed is 8 ft³.
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Answer:
8ft.^3
Step-by-step explanation:
I just took the test on edge :)
I need help I don’t get this
Answer:
Your answer is 368
Step-by-step explanation:
Separate 92 into 90 + 2
4 * 92 = 4 * (90 + 2)
Distribute 4.
= 4 * 90 + 4 * 2
Multiply and Add
= 360 + 8
= 368
In order to qualify for a role in a play, an actor must be taller than 64 inches but shorter than 68 inches. The inequality 64 < x < 68, where x represents height, can be used to represent the height range. Which is another way of writing the inequality?
x > 64 and x < 68
x > 64 or x < 68
x < 64 and x < 68
x < 64 or x < 68
Inequalities help us to compare two unequal expressions. The correct option is A.
What are inequalities?Inequalities help us to compare two unequal expressions. Also, it helps us to compare the non-equal expressions so that an equation can be formed.
It is mostly denoted by the symbol <, >, ≤, and ≥.
Another way of writing the inequality 64 < x < 68, where x represents the height of the actor, is x>64 and x< 68. Hence, the correct option is A.
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Find the area of the yellow region.
Round to the nearest tenth.
DCH
6 in
-6 in-
Area = [?] in²
Answer:
A = 3.9 in²
Step-by-step explanation:
To find the area of the shaded region, you need to find the (1) area of the entire square, then (2) find the area of the 1/2 circles, then (3) subtract them and divide by 2. Because the 1/2 circles are identical, you can combine them and just use the circle area equation.
Area of the Square:
A = l x w
A = 6 in x 6 in
A = 36 in²
Area of Combined 1/2 Circles:
A = πr²
r = 6 in / 2
r = 3 in
A = π(3)²
A = 9π -----> 28.3 in²
Area of Shaded Region:
A = (Area Square - Area Circle) / 2
A = (36 in² - 28.3 in²) / 2
A = 7.7 in² / 2
A = 3.9 in²