Answer:
A number, such as 10 is a composite number because it is even.
The area of a rectangular wall of a barn is 171 square feet . It’s length is 10 feet longer than the width . Find the length and width of the wall of the barn
Answer:
10 x 17.1 = 171
Step-by-step explanation:
10 x 17.1 = 17.1
The operations manager at a compact fluorescent light bulb (CFL) factory needs to estimate the mean life of a large shipment of CFLs. The manufacturer’s specifications are that the population standard deviation is 1,000 hours. A random sample of 64 CFLs indicated a sample mean life of 7,500 hours.
Construct a 95% confidence interval estimate for the popu- lation mean life of compact fluorescent light bulbs in this shipment.
Answer:
The 95% confidence interval estimate for the population mean life of compact fluorescent light bulbs in this shipment is between 7,255 hours and 7,745 hours.
Step-by-step explanation:
We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:
[tex]\alpha = \frac{1-0.95}{2} = 0.025[/tex]
Now, we have to find z in the Ztable as such z has a pvalue of [tex]1-\alpha[/tex].
So it is z with a pvalue of [tex]1-0.025 = 0.975[/tex], so [tex]z = 1.95[/tex]
Now, find the margin of error M as such
[tex]M = z*\frac{\sigma}{\sqrt{n}}[/tex]
In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.
[tex]M = 1.96*\frac{1000}{\sqrt{64}} = 245[/tex]
The lower end of the interval is the sample mean subtracted by M. So it is 7500 - 245 = 7255 hours.
The upper end of the interval is the sample mean added to M. So it is 7500 + 245 = 7745 hours.
The 95% confidence interval estimate for the population mean life of compact fluorescent light bulbs in this shipment is between 7,255 hours and 7,745 hours.
A means of the estimate numerical, the variation in that estimate is referred to as the confidence interval, therefore its value is "[tex][7255, 7745][/tex]".
Confidence interval:[tex]95\%[/tex] C.I. for a mean lifetime is given by
[tex]= [ \overline{X} - \tau_{0.975} \frac{\sigma}{\sqrt{n}} , \overline{X} + \tau_{0.975} \frac{\sigma}{\sqrt{n}} ][/tex], where
[tex]\bar{X}[/tex] (sample mean) [tex]= 7500[/tex]
[tex]\sigma[/tex] (standard deviation)[tex]= 1000[/tex]
[tex]n = 64[/tex]
by putting the value into the above-given formula we get the value that is [tex]= [7255, 7745].[/tex]
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HELP ME ASAP! Will give BRAINLIEST! Please read the question THEN answer correctly! No guessing. Check ALL that apply.
Answer:
x = -2 or x = 1/3 thus: B & C
Step-by-step explanation:
Solve for x over the real numbers:
2 x^2 + 7 x - 2 = 2 x - x^2
Subtract 2 x - x^2 from both sides:
3 x^2 + 5 x - 2 = 0
The left hand side factors into a product with two terms:
(x + 2) (3 x - 1) = 0
Split into two equations:
x + 2 = 0 or 3 x - 1 = 0
Subtract 2 from both sides:
x = -2 or 3 x - 1 = 0
Add 1 to both sides:
x = -2 or 3 x = 1
Divide both sides by 3:
Answer: x = -2 or x = 1/3
1. 10(.15)=1.5
2. 10-1.5=8.5
3. 8.5 (.15)=1.275
4. 8.5-1.275=7.225
Keep going until you get number 5 and below 1
!!!!!!!!!!!!!!!!!!!!!!!!
PLEASE MAN!
Answer:
6.14125(0.15) = 0.9211875 (below 1)
6.14125 - 0.92118 = 5.22007
Step-by-step explanation:
Given data
1. 10(.15)=1.5
2. 10-1.5=8.5
3. 8.5 (.15)=1.275
4. 8.5-1.275=7.225
continuation the sequence
5) 7.225 (0.15) = 1.08375
6) 7.225 - 1.08375 = 6.14125
7) 6.14125(0.15) = 0.9211875 (below -one)
8 ) 6.14125 - 0.9211875 = 5.2200625 (get number 5)
9) 5.2200625(0.15) = 0.783009
10) 5.2200625 - 0.783009 = 4.4370532
find the area of the shaded region and choose the appropriate result.
Area of the larger square: (4 cm) * (4 cm) = 16 cm^2
Area of the smaller square: (2 cm) * (2 cm) = 4 cm^2
Area of the shaded region = difference between the two areas above, or 12 cm^2
f(x)=2x^2+x-4
find (-10)
Answer:
F(-10)=186
Step-by-step explanation:
F(-10)=2(-10)^2+(-10)-4
F(-10)=2*100+(-14)
F(-10)=200-14
Therefore, F(-10)=186
Answer:
The answer is 186
Step-by-step explanation:
6231 rounded to the nearest thousand is. Enter your answer without
commas.
What is the circumference of the following circle?
3 cm
Answer:
the circumference is 9.42 cm
Step-by-step explanation:
3.14 · (3 cm)
c = 9.42 cm
hope this helps :-)
In ΔIJK, the measure of ∠K=90°, IK = 39, JI = 89, and KJ = 80. What ratio represents the sine of ∠I?
Answer: 80/89
Step-by-step explanation:
Answer:
80/89
Step-by-step explanation:
delta math told me
WILL RATE BRAINLIEST PLZ HELP
Answer:
if your question is to find the vertical height of D, ans is 5
Step-by-step explanation:
What’s the correct answer for this?
Answer:
D.
Step-by-step explanation:
Rotation by 180 about O will map QSU onto itself.
a bacteria population is 10,000. it triples each day. The bacteria population. p, is a function of the number of days, d.
A. p(d) = 10000(3)d
B. d(p) = 10000(3)p
C. p(d) = 3(10000)d
D. p(d) = 3(10000)p
Answer: D. p(d) = 3(10000)p
Step-by-step explanation:
The function is p(d) = 3(10000)p, where p is the bacteria population and the number of days, d. The correct answer would be option (D).
What are the functions?The function is defined as a mathematical expression that defines a relationship between one variable and another variable.
As per the given situation, we can write the function would be as:
⇒ p(d) = 3(10000)p
It states that the population of the bacteria, p, is equal to the starting population of 10,000 multiplied by 3 number of days, d. This function correctly represents the idea that the population triples each day.
Hence, the correct answer would be an option (D).
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How does Harrison Bergeron's physical description help to create satire?
Answer:
The absurdity of Harrison's exaggerated handicaps ridicules society's obsession with equality.Step-by-step explanation:
Answer:
Step-by-step explanation:
In the year 2081, the 211th, 212th, and 213th amendments to the Constitution dictate that all Americans are fully equal and not allowed to be smarter, better-looking, or more physically able than anyone else. The Handicapper General's agents enforce the equality laws, forcing citizens to wear "handicaps": masks for those who are too beautiful, loud radios that disrupt thoughts inside the ears of intelligent people, and heavy weights for the strong or athletic.
One April, 14-year-old Harrison Bergeron, an intelligent, athletic, and good-looking teenager, is taken away from his parents, George and Hazel Bergeron, by the government. They are barely aware of the tragedy, as Hazel has "average" intelligence (a euphemism for stupidity), and George has a handicap radio installed by the government to regulate his above-average intelligence.
Hazel and George watch ballet on television.They comment on the dancers, who are weighed down to counteract their gracefulness and masked to hide their attractiveness. George's thoughts are continually interrupted by the different noises emitted by his handicap radio, which piques Hazel's curiosity and imagination regarding handicaps. Noticing his exhaustion, Hazel urges George to lie down and rest his "handicap bag", 47 pounds (21 kg) of weights locked around George's neck. She suggests taking a few of the weights out of the bag, but George resists, aware of the illegality of such an action.
On television, a news reporter struggles to read the bulletin and hands it to the ballerina wearing the most grotesque mask and heaviest weights. She begins reading in her unacceptably natural, beautiful voice, then apologizes before switching to a more unpleasant voice. Harrison's escape from prison is announced, and a full-body photograph of Harrison is shown, indicating that he is seven feet (2.1 m) tall and burdened by three hundred pounds (140 kg) of handicaps.
George recognizes his son for a moment, before having the thought eliminated by his radio. Harrison himself then storms the television studio in an attempt to overthrow the government. He calls himself the Emperor and rips off all of his handicaps, along with the handicaps of a ballerina, whom he proclaims his "Empress". He orders the musicians to play, promising them nobility if they do their best. Unhappy with their initial attempt, Harrison takes control for a short while, and the music improves. After listening and being moved by the music, Harrison and his Empress dance while flying to the ceiling, then pause in mid-air to kiss.
Diana Moon Glampers, the Handicapper General, enters the studio and kills Harrison and the Empress with a ten-gauge double-barreled shotgun. She forces the musicians to put on their handicaps, and the television goes dark. George, unaware of the televised incident, returns from the kitchen and asks Hazel why she was crying, to which she replies that something sad happened on television that she cannot remember. He comforts her and they return to their average lives.
find all of the polar coordinatesof the point p if p=(7, pi/3)
Answer:
(7, π/3 +2kπ) . . . for any integer k(-7, 4π/3 +2kπ) . . . for any integer kStep-by-step explanation:
Adding any multiple of 2π radians to the angle will result in the same point. So, one set of coordinates of the same point can be ...
(7, π/3 +2kπ) . . . . for any integer k
The value of the radius can be negated, and an odd multiple of π can be added to the angle to get the same point. Another set of coordinates of the same point can be ...
(-7, 4π/3 +2kπ) . . . . for any integer k
What is the theoretical probability of rolling two dice and getting an odd number on both of them?
Answer:
25%
Step-by-step explanation:
I'm not great at probability but the chances of rolling an odd number on one dice is 50%, so you should have to multiply 0.5 * 0.5 to get 0.25, or a percentage of 25%. Hope this helps :)
can someone assist me on this
Answer:
The perimeter of the triangle would be 21.2. The area would be 18 ft^2
Step-by-step explanation:
Hope this helps :)
Attached is the work I did to get the answers
Every 6 days John eats 20 ounces of cereal. At the same rate, how many ounces of cereal will John eat in 15 days?
Multiplication is the process of multiplying. The amount of cereal that John will eat in 15 days is 50 ounces.
What is multiplication?Multiplication is the process of multiplying, therefore, adding a number to itself for the number of times stated. For example, 3 × 4 means 3 is added to itself 4 times, and vice versa for the other number.
Given that John eats 20 ounces of cereal every 6 days. Therefore, the amount of cereal that John eats every 6 days is,
Amount of cereal in a day = 20 ounces / 6 days
= (20/6) ounces in a day
Now, the amount of cereal that John will eat in 15 days is,
Amount of cereal in 15 days = 15 days × (20/6) ounces in a day
= 50 ounces
Hence, the amount of cereal that John will eat in 15 days is 50 ounces.
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Calculate the volume of the pyramid.
4cm
Base = 35cm
Enter your math answer
Answer:
V = 46.67cm²
Step-by-step explanation:
[tex]V=\frac{lwh}{3}[/tex] Use this equation to find the volume of the pyramid
[tex]V=\frac{35*4}{3}[/tex] Multiply in the numerator
[tex]V=\frac{140}{3}[/tex] Divide
V = 46.67cm²
If this answer is correct, please make me Brainliest!
what is 7 divided by 1/3 in multiplication
Answer:21
Step-by-step explanation:
7 ➗ 1/3
when dividing fractions you have to change the divide sign to multiplication
and the denominator at the right hand side will become the numerator,the previous numerator at the right hand side will become denominator
7 x 3/1=21
32. Mr. Fernández packed 31 red apples and 41 green apples into a box for a customer. He
packed 8 boxes like this. Mr. Fernández used this equation to find x, the number of apples
he packed into all the boxes.
x = (31 + 41)8
How many apples did Mr. Fernández pack into the boxes?
A. 576
B. 568
C. 80
D. 10,168
A person's blood glucose level and diabetes are closely related. Let x be a random variable measured in milligrams of glucose per deciliter (1/10 of a liter) of blood. Suppose that after a 12-hour fast, the random variable x will have a distribution that is approximately normal with mean μ = 83 and standard deviation σ = 27. Note: After 50 years of age, both the mean and standard deviation tend to increase.
1. For an adult (under 50) after a 12-hour fast, find the probability that x is between 60 and 110. (Round your answers to four decimal places.)
Answer:
The probability that x is between 60 and 110.
P(60 < x<110) = 0.6436
Step-by-step explanation:
Step( i ) :-
Given data the random variable 'X' will have a distribution that is approximately normal with mean μ = 83 and standard deviation σ = 27.
Mean of the Population 'μ' = 83
Standard deviation of the Population 'σ' = 27.
Step(ii):-
Given X =60
[tex]Z_{1} = \frac{x-mean}{S.D} = \frac{60-83}{27} = -0.851[/tex]
Step(iii):-
Given X = 110
[tex]Z_{1} = \frac{x-mean}{S.D} = \frac{110-83}{27} = 1[/tex]
The Probability that between 60 and 110
P(60 < x<110) = P( -0.851 < z< 1)
= P( Z≤1) - P(Z≤ -0.851)
= (0.5 + A(1)) - (0.5- A(-0.851))
= (0.5 +0.3413)- (0.5 - 0.3023) ( check normal table yellow mark)
= 0.8413 - 0.1977
P(60 < x<110) = 0.6436
Final answer:-
The probability that x is between 60 and 110.
P(60 < x<110) = 0.6436
f a triangle has a side length of 10, 12 and 15 units respectively, what type of triangle is it acute right obtuse or no solution
Answer:
Acute.
Step-by-step explanation:
Using the Triangle Inequality Theorem you know that the sum of the lengths of two sides of a triangle are greater than the length of the third side.
Using this we can narrow it down that this DOES have a solution, since 10+12>15.
Now, we can determine if this triangle is a right triangle using the Pythagorean Theorem. C is the longest length.
If c^2= a^2+b^2, then it is a right triangle.
If c^2< a^2+b^2 then it is an acute triangle.
If c^2>a^2+b^2 then it is an obtuse triangle.
We can now substitute. (A and B are interchangeable, but C is the longest length.
A=10
B=12
C=15
A^2=100
B^2=144
C^2=255
We can now figure out that this triangle is acute because A^2+ B^2 (244) < C^2 (255).
Hope this helps!
write an equation of the line that has a slope of 9 and y-intercept of -3
Answer: y = 9x - 3
That's y=mx + b, the usual slope intercept form of a line with slope m and y intercept b.
Step-by-step explanation:
The equation of a line is y = mx + b, where m is the slope and b is the y-intercept. We know that m = 9 and b = -3, and when we plug those in, we get y = 9x - 3. Hope this helps!
During one year Saul takes 15 credit hours for each three quarters. Tuition and fees amount to $608 per credit hour. Textbooks average $420 per quarter. The prorated monthly cost for tuition and fees and textbooks is?
Answer:
Total textbook cost of tuition fees per month will be $ 2,356 and 25 cents
Step-by-step explanation:
To solve the exercise, we will first define the total cost per quarter.
cost of 1 credit hour = $ 601
then we solve the following:
cost of 15 credit hours = $ 601 * 15 = $ 9015
textbooks = $ 410
then we solve the following:
total cost = 9015 + 410 = $ 9425
total cost for 3 quarters = 3 * $ 9425 = $ 28275 for 12 months
we calculate as follows
Total textbook cost of tuition fees per month will be
$ 28,275 / 12 = $ 2,356 and 25 cents
WILL RATE BRAINLIEST PLZ HELP
MUST EXPLAIN THO
Answer:
A -- base 3, height 4B -- base 4, height 4C -- base 3, height 3D -- base 3, height 5Step-by-step explanation:
A sort of straightforward way to approach this is to define base and height variables for each of the figures: ba, ha, bb, hb, bc, hc, bd, hd. Then the statements can be used to make equations in these variables.
0. hc = bc . . . . figure C is a square
1. ba = bd
2. ba = bb -1
3. hc = ba
4. hb = ha = bb
5. hc·bc = 9
6. (1/2)ha·ba +(1/2)hb·bb +hc·bc+hd·bd = 38
__
Using equations 0 and 5, we find ...
hc² = 9 ⇒ hc = 3
From equation 3, ...
ba = 3
From equation 2, ...
3 = bb -1 ⇒ bb = 4
From equation 1, ...
bd = 3
From equation 4, ...
ha = hb = 4
Filling in the values we know in equation 6, we get ...
(1/2)(4)(3) +(1/2)(4)(4) +9 +hd(3) = 38
23 +3hd = 38
hd = 15/3 = 5
The dimensions are:
A -- base 3, height 4B -- base 4, height 4C -- base 3, height 3D -- base 3, height 5Christian and Megan want to purchase a new car. The car has a base price of $16,700, options totaling $1,095, and a destination charge of $325. They read in a consumer magazine that the dealer's cost for the car is 90 percent of the base price and 87 percent of the options price. What should they estimate as the dealer's cost?
1 point
$15,764.40
$15,806.65
$16,275.15
$16,307.65
Answer:
it's B
Step-by-step explanation:
because I took the test
The area of the base of a cylinder is 45 square inches and its height is 11 inches. A cone has the same area for its base and same height. What is the volume of the cone?
Answer:
165 in³
Step-by-step explanation:
Volume of a cone is:
V = ⅓Ah
where A is the area of the base and h is the height.
V = ⅓ (45 in²) (11 in)
V = 165 in³
Kitzen has entered a raffle along with other students in her class. The table shows how many raffle tickets each student entered. There will be two winners to the raffle. What is the probability that Kitzen’s name will be drawn twice? Use a / to represent a fraction bar.
Answer:
12/48=1/4(Simplified)
Step-by-step explanation:
The probability that Kitzen’s name will be drawn twice is 1/23.
What is the probability?"The probability is the ratio of the number of outcomes in an exhaustive set of equally likely outcomes that produce a given event to the total number of possible outcomes".
For the given situation,
The table shows the number of students and the number of raffle tickets.
Kitzen's number of raffle tickets = 12
Ava's number of raffle tickets = 16
Sam's number of raffle tickets = 11
Josie's number of raffle tickets = 9
The event is that the Kitzen’s name will be drawn twice, n(e) = 2(12)
The total number of raffle tickets, n(s) = 48
Thus the probability that Kitzen’s name will be drawn twice,
[tex]P(e)=\frac{n(e)}{n(s)}[/tex]
⇒ [tex]P(e)=\frac{2(12)}{48}[/tex]
⇒ [tex]P(e)= \frac{1}{2}[/tex]
Hence we can conclude that the probability that Kitzen’s name will be drawn twice is 1/23.
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What is the difference between the two temperatures -13°C and 10°C
Answer:
23
Step-by-step explanation:
-5x+20<5 solve for x
Answer: x > 3
Step-by-step explanation: Just like any of your two-step equations, in this inequality, start by isolating the x term which in this case is -5x by subtracting 20 from both sides. That leaves you with -5x < -15.
To get x by itself, divide both sides by -5, but watch out.
If you divide both sides of an inequality by a negative number, you must switch the direction of the inequality sign.
So we have x > 3.
I have also graphed the inequality for you below.
Start with an open dot at 3. The reason for that is because x > 3 but x is not equal to 3 so we use an open dot.
Now, draw an arrow to the right to
represent all numbers greater than 3.