The error interval for x will be 3.65<x<3.75 rounded to 1 decimal place.
What is interval notation?It is defined as the representation of a set of values that satisfy a relation or a function. It can be represented as open brackets and close brackets the close brackets mean the value at the close bracket is also included, and the open bracket means the value at the open bracket does not include.
It is given that, the number is 3.7.
We have to find the error interval for x rounded to 1 decimal place for the number 3.7.
Thus, the error interval for x will be 3.65<x<3.75 rounded to 1 decimal place.
When a number has been rounded or truncated, error intervals are the upper bounds of accuracy. They represent the range of values that a number might have had before being rounded or truncated.
This is so that we may round the range of 3.65 to 3.75 to one decimal place, and as 3.74 or less is considered to be below 3.75, rounding to one decimal place gives us 3.7.
Thus, the error interval for x will be 3.65<x<3.75 rounded to 1 decimal place.
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You are given a rectangular piece of paper that has length x=19.7 cm and height y=18 cm. The lower right corner is to be folded to the top edge forming a triangle as shown. Determine the minimum area of a triangle that can be constructed.
Step-by-step explanation:
[tex]46064yx \times ( \frac{ { > < |x { \frac{( {))(6460 = 464}^{?} }{?} }^{?} | }^{?} }{?} [/tex]
Amount Desired at End of Period $ 17,600.00 Length of time 7 Rate 2% Compunded Quartly Required:
Complete the following using the information above and the present value Table 12.3 or the present value table in the Business Math Handbook or the present value formula to answer the following:
Note: Use cells A2 to D3 from the given information to complete this question.
1. Period Used
2. Rate Used
3. PV factor used
4. PV of amount desired at end of period
Using the given information to complete this compounding interest question is as follows:
1. Period Used = 28 quarters
2. Rate Used = 2%
3. PV factor used = 1.14987
4. PV of the amount desired at end of the period = $15,306.04.
What is compound interest?Compound interest adds the accumulated interest to the principal amount after each period in order to compute the period's interest.
Compound interest is the opposite of simple interest, which does not add the accumulated interest to the principal before computing another period's interest.
N (# of periods) = 28 quarters (7 x 4)
I/Y (Interest per year) = 2%
PMT (Periodic Payment) = $0
FV (Future Value) = $17,600
Results:
PV = $15,306.04
Total Interest = $2,293.96
PV factor = 1.14987
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Juliana has a wire that is } 3 ft long. She cuts it into 4 pieces, as shown in the mode.
Complete the statement about the model.
The model shows that there are 4 pieces that are each (?) ft long.
Answer:
[tex]\frac{3}{4} ft[/tex]
Step-by-step explanation:
at the first piece we can see it stops on the number line at 3/4
Also 3 divided by 4 is 3/4
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Answer:
3/4
Step-by-step explanation:
Look at 1 ft on the ruler below at left. The foot is divided into 4 equal parts, so each small part is 1/4 ft. The length of each piece of wire is 3 of these 1/4 ft lengths, so each piece of wire is 3/4 ft long.
Answer: 3/4
The amount of paper used weekly by the Pittsburgh paper is approximately how many times more than the amount used by the Newville paper
In scientific notation, the amount of paper used weekly by the Pittsburgh paper is approximately 5.0 x 10⁷ times more than the amount used by the Newville paper.
What is scientific notation?Scientific notation is a shorthand or approximated way to write large or small numbers.
Scientists use scientific notations to eliminate the many zeros in a number so that the number is written in a standard form.
In scientific notation, a positive integer is multiplied by another integer (positive or negative) in the power of ten.
The best way to compute the ratio of paper usage at the two newspapers is to rewrite the numbers in long form and convert the answer to scientific notation.
Location Paper Used (square yards)
Newville 8.0 x 10³ = 8,000
Pittsburgh 4.0 x 10¹¹ = 400,000,000,000
The ratio of Pittsburgh to Newville = 8,000:400,000,000,000
= 1: 50,000,000
= 1: 5.0 x 10⁷
We can also divide 400,000,000,000 by 8,000 to get 50,000,000, which can then be written in standard form as 5.0 x 10⁷.
Thus, expressing the result in scientific notation, the Pittsburgh paper approximately uses 5.0 x 10⁷ more paper than the Newville paper.
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Question Completion:Location Paper Used (square yards)
Newville 8.0 x 10³
Pittsburgh 4.0 x 10¹¹
Find the total amount a college student has in a savings account if $13,000 was invested and earned 3% compounded quarterly for 5 years. Use A=P(1+(r/n)ⁿ⁺).
The amount after 5 years will be $____.
(Do not round until the final answer. Then round to the nearest cent as needed.)
The total amount the college student will have in the savings account after 5 years will be $15,095
Compound interest: Calculating amount in a savings accountFrom the question, we are to determine the amount the college student has in savings.
From the compound interest formula, we have that
A = P(1 + r/n)^nt
Where A is the amount
P is the principal
r is the interest rate
n is the number of times compounded per year
and t is the time.
From the given information,
P = $13,000
r = 3%= 0.03
n = 4
t = 5
Putting the parameters into the formula
A = P(1 + r/n)^nt
A = 13000(1 + 0.03/4)^(4×5)
A = 13000(1 + 0.03/4)^20
A = $15095.39
A ≈ $15095
Hence, the amount is $15,095
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Miguel can afford to pay $150.00 per month for a car. He has $5,000.00 saved up for a down payment. His bank is offering amortized car loans for 1.25\%% compounded monthly.
If he takes out a 7-year loan, what is the price of the most expensive car he can afford?
How much will the car cost him in total?
Answer: 7,000
Step-by-step explanation: I took the test
In a school, the ratio of books to computers is 3:7. If the school has 210 computers, how many books are In the school
Answer:
90 books
Step-by-step explanation:
B:C
3:7
X:210
210÷7=30
3*30=90
Answer:
3:7
x:210
=210(3) ÷7
=90
←
Suppose a researcher is testing someone to see whether she or he can tell Soda X from Soda Y, and the researcher is using 34 trials, half with Soda
X and half with Soda Y. The null hypothesis is that the person is guessing.
a. About how many should the researcher expect the person to get right under the null hypothesis that the person is guessing?
b. Suppose person A gets 24 right out of 34, and person B gets 20 right out of 34. Which will have a smaller p-value, and why?
a. The person should get right.
(Type a whole number.)
b. Person
will have a smaller p-value because
a. The researcher should expect each person to get 17 guesses correct under the null hypothesis that the person is guessing.
b. Person A has a smaller p-value because the person's number of successes is further to the hypothesized number of successes.
What are the hypothesis tested?At the null hypothesis, it is tested if the person is guessing, that is, if the proportion is of 0.5, hence:
[tex]H_0: p = 0.5[/tex]
At the alternative hypothesis, it is tested if there is enough evidence to conclude that the person is not guessing, that is, if the proportion is different than 0.5, hence:
[tex]H_0: p \neq 0.5[/tex]
Considering the tested proportion of 0.5, the expected number of correct guesses on the 34 trials is of:
0.5 x 34 = 17 correct guesses.
What are the test statistic and the p-values?The test statistic is given by the equation presented as follows:
[tex]z = \frac{\overline{p} - p}{\sqrt{\frac{p(1-p)}{n}}}[/tex]
In which:
[tex]\overline{p}[/tex] is the sample proportion.p is the proportion tested at the null hypothesis.n is the sample size.The parameters that are the same for each person are given as follows:
[tex]p = 0.5, n = 34[/tex]
The sample proportions are given as follows:
Person A: 24/34 = 0.7059.Person B: 20/34 = 0.5882.Then the test statistics are given as follows:
Person A: z = (0.7059 - 0.5)/sqrt(0.5 x 0.5/34) = 2.40.Person B: z = (0.5882 - 0.5)/sqrt(0.5 x 0.5/34) = 1.03.Person A is farther from the mean due to the higher test statistical, hence it has a smaller p-value.
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helppppppppppppppppppppppppppppp
Answer:
f(3)=5
Or
(3,5)
Step-by-step explanation:
all you have to do is look at what y axis is on the line when x=3
And y=5
f(3)=5
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super computers have been developed that are much larger and can perform many more calculations than ordinary desktop or laptop computers. One such supercomputer the Titan,has 4,485x10^10 transistors in its central processing
The total number of transistors in the Titan is equal to 5.950 × 10²¹ transistors.
What is a supercomputer?A supercomputer simply refers to one of the most powerful computers that is designed and developed for handling, evaluating, and solving very complicated problems, calculations, or tasks, better than ordinary desktop or laptop computers.
How to find the total number of transistors in the Titan?In order to determine the total number of transistors in the Titan, we would multiply the number of transistors in its central processing unit (CPU) by the number of transistor in its graphics processing unit (GPU) as follows:
Total number of transistors = 4.485 × 10¹⁰ × 1.3268 × 10¹¹
Total number of transistors = (4.485 × 1.3268) × (10¹⁰ × 10¹¹)
Total number of transistors = 5.950 × (10⁽¹⁰ ⁺ ¹¹⁾)
Total number of transistors = 5.950 × 10²¹ transistors.
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Complete Question:
Supercomputers have been developed that are much larger and can perform many more calculations than ordinary desktop or laptop computers. One such supercomputer, the Titan, has 4.485 × 10¹⁰. transistors in its central processing unit (CPU) and another 1.3268 × 10¹¹. transistor in its graphics processing unit (GPU). Find the total number of transistors in the Titan. Show your working and give your answers in standard form.
WILL GIVE BRAINLIEST - Jim is a preschool teacher. While he was getting ready for his class's snacktime, he put 6 carrots on each plate. If he used 48 total carrots, which equation could be used to determine the number of plates, p, that he used?
The equation that can be used to determine the number of plates, p, that he used is 6p = 48.
How to represent a situation with an equation?Jim is a preschool teacher. While he was getting ready for his class's snack time, he put 6 carrots on each plate.
He used 48 total carrots. The equation that could be used to determine the number of plates, p, that he used can be represented as follows:
where
p = number of of platesTherefore,
6 carrots are put on each plate.
He has 48 carrots in total. And needs to put all in a plate.
Hence, the equation that could be used to determine the number of plates, p, is 6p = 48
p = 48 / 6
p = 8
Therefore,
number of plates = 8
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A pizza has a mass of 1 1/5kg. A cake has a mass of 1,300 grams Which is heavier, the pizza or the cake?
Answer:
The correct answer is: The pizza is heavier
Step-by-step explanation:
(11/5) * 10^3 = 2200 grams of pizza against 1,300 grams of cake
NEED HELP ASAP Is each line parallel, perpendicular, or neither to a line whose slope is 3/8?
Line e, with slope 3/8
Line f, with slope -3/8
line g, with slope 8/3
Line H, with slope -8/3
Line e is parallel.
Line h is perpendicular.
Lines f and g are neither.
Convert 301 kg to ponds
2
3
0.0042
0.0013
0.8584
0.9189
5
6
7
8
9
10
The time needed for passengers to board the Twisting Thunder roller coaster is skewed right with a mean of 49
seconds and a standard deviation of 7.1 seconds. The time to board the Spiral Wonder roller coaster is skewed left
with a mean of 44.8 seconds and a standard deviation of 3.7 seconds. What is the probability in a random sample of
32 times loading Twisting Thunder and 36 times loading Spiral Wonder that the mean time for Twisting Thunder is less
than that of Spiral Wonder?
In a random sample of 32 times loading Twisting Thunder and 36 times loading Spiral Wonder, the probability is 0.9574.
What exactly is a normal distribution?It's also known as the Gaussian Distribution. It is the most important continuous probability distribution in the world. Because the curve resembles a bell, it is also known as a bell curve.
The average time for riders to board the Twisting Thunder roller coaster is 49 seconds, with a standard deviation of 7.1 seconds.
The likelihood in a random sample of 32 is
z= (x-μ)/σ
z=(32-49)/7.1
z= -2.394
P(x32) =0.0083246 from the Z-Table
The average time to board the Spiral Wonder roller coaster is 44.8 seconds, with a standard deviation of 3.7 seconds.
In a random sample of 36, the probability is
z= (x-μ)/σ
z=(36-44.8)/3.7
z= -2.37838
P(x36) = 0.0086945 from the Z-Table
In a random sample of 32 times loading Twisting Thunder and 36 times loading Spiral Wonder, the probability is P(x32)/P(x36)=0.0083246/0.0086945 =0.9574.
A random sample has a probability of 0.9574.
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Apple pie is my favorite. I bake a
lot of it because I never got my
fair share as a kid. Last year i
got a little carried away and
had 7 pies left over. I cut the
pie into pieces to freeze and
save for later. Each piece was
of a whole pie. How many
pieces of pie did I freeze?
Answer:
58
Step-by-step explanation:
You would have to turn 7 1/4 into a whole fraction.
Do,
7 * 4 = 28
28 + 1 = 29
Your new fraction would be,
29/4
Now you have to make them equal denominators with 1/8.
Lets see,
Now multiply 4 * 2 is 8.
So multiply 29 times 2.
Which is 58.
Your new fraction is,
58/8
So therefore you would have 58 pieces.
The answer or help with this question
Answer:
X Y
1. 2
2. 3
3. 4
This is the answer to your question
The ratio of Marta's hourly pay to Khalid's hourly pay is 6:5
Both Marta and Khalid get an increase of £1.50 in their hourly pay.
The ratio of Marta's hourly pay to Khalid's hourly pay after this increase is 13:11
Work out the hourly pay before the increase for Marta and for Khalid.
Please help ;-;
According to the given ratio, the hourly pay before the increase for Marta and for Khalid is 1.2
Ratio:
Ratio refers the ordered pair of numbers a and b, written a / b where b does not equal 0.
Given,
The ratio of Marta's hourly pay to Khalid's hourly pay is 6:5 Both Marta and Khalid get an increase of £1.50 in their hourly pay. The ratio of Marta's hourly pay to Khalid's hourly pay after this increase is 13:11.
Here we need to work out the hourly pay before the increase for Marta and for Khalid.
So, it can be written as,
=> 6 : 5
And the new pay after the increase is
=> 13 : 11
So, when we equate this, then we get,
=> 6/5 = 13/11
=> 1.2 = 1/2
Therefore, the hourly pay before the increase for Marta and for Khali is 1.2
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HELP ME Plssss. Jajkskskakakizjs
The line has a gradient of 2 and a y -intercept of 1. So, draw the line through (0,1) and (1,3).
Solve the formula for t.
V=6πrt+7πr^2
t=
The value of t in the equation can be express as follows:
[tex]t = \frac{V-7\pi r^{2} }{6\pi r}[/tex]
How to make a variable the subject of the formula?The subject of a formula is the variable that is being worked out. The subject of a formula is the variable which is expressed in terms of the other variables.
The variable to be worked out is t.
Therefore,
V = 6πrt + 7πr²
Therefore, let's make t the subject of the formula,
V = 6πrt + 7πr²
subtract 7πr² from both sides of the equation.
V = 6πrt + 7πr²
V - 7πr² = 6πrt + 7πr² -7πr²
V - 7πr² = 6πrt
divide both sides of the equation by 6πr
Hence,
[tex]\frac{V-7\pi r^{2} }{6\pi r}=t[/tex]
Therefore,
[tex]t = \frac{V-7\pi r^{2} }{6\pi r}[/tex]
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Use the graph of the function to answer the question. A line that passes through points (-2, -2) and (2, 0).
What is the output of the function when the input is 0? Enter your answer as a number, like this: 42
Answer:
[tex]-1[/tex]
Step-by-step explanation:
Using the graph, when the input, [tex]x[/tex], is 0, the output, [tex]y[/tex] is [tex]-1[/tex].
Answer:
The output is - 1 when the input is 0.-----------------------------
Find the line with the given points (-2, -2) and (2, 0).
Find the slope:
m = (y₂ - y₁)/(x₂ - x₁) = (0 + 2)/(2 + 2) = 2/4 = 1/2Use point-slope equation and one of the points:
y - y₁ = m(x - x₁) y - (-2) = 1/2(x - (-2))y + 2 = 1/2(x + 2)When x = 0, the output is:
y + 2 = 1/2(0 + 2)y + 2 = 1/2(2)y + 2 = 1y = 1 - 2y = - 1The path of a punted football is modeled by
16/1225 x^2+7/5+1.5
where f(x) is the height (in feet) and x is the horizontal distance (in feet) from the point at which the ball is punted.
(a) How high is the ball when it is punted?
Answer:
(a) f(x) = 1.5 ft-----------------------------
When the ball is punted the value of x is zero, therefore f(0) is:
f(0) = - 16/1225 × 0² + 7/5 × 0 + 1.5 = 1.5Answer:
1.5 feet
Step-by-step explanation:
Given function,
→ f(x) = (-16/1225)x² + (7/5)x + 1.5
Required function,
→ f(x) = f(0)
→ f(0) = (-16/1225)x² + (7/5)x + 1.5
Now the needed height is,
→ (-16/1225)x² + (7/5)x + 1.5
→ (-16/1225)(0)² + (7/5)(0) + 1.5
→ 0 + 0 + 1.5
→ 1.5 feet
Hence, the height is 1.5 feet.
i need help again, i’m struggling
The y-intercept of the function F(x) = x⁴ + 2x - 2 is -2 and the profile is matched to the given graph thus option (B) is correct.
What is a graph?The graph is a geometrical representation of a function and can be plotted by taking x's and y's corresponding values within the interval.
For example plot of y = x³ ,y = sinx.
As per the given graph of the function,
In option (B),
F(x) = x⁴ + 2x - 2
Put x = 0
F(0) = 0 + 0 - 2 = -2
Thus, (0,-2) will be the y-intercept which is matching in the graph.
Hence "The y-intercept of the function F(x) = x⁴ + 2x - 2 is -2 and the profile is matched to the given graph".
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In the following equation of straight line Y = 5X+12, then the slope and y-intercept
are? (WITH EXPLAINATION)
The slope and y-intercept of the equation of straight line y=5x+12 is 5 and 12.
What is equation of straight line?
A line that does not curl or bend is said to be straight. A line has length but no width, making it a one-dimensional figure. A line consists of points that extend infinitely in opposite directions. Two points in a 2D plane determine it. A, B, and C are real-based constants in the formula Ax + By + C = 0, A, B 0. The geometric representation of the equation is always a straight line.
Here we know that equation of straight line is y=mx +c.
Where m=slope and c=y-intercept.
Here the given equation is ,
=> y=5x+12
Compared with general form then,
=> m = 5 and c=12.
Therefore slope and y-intercept of the equation of straight line y=5x+12 is 5 and 12.
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find the slope between (-2,7) and (-2,9)
Answer:
undefined
Step-by-step explanation:
to find slope it’s y2-y1/x2-x1
9-7/-2-(-2)
2/0
Undefined slope
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A campfire has a flame 24 inches tall after burning for 4 hours. After 6 hours, it is 20 inches tall. Write a linear equation to model the relationship between height h of the fire and time t. Predict how tall the fire will be after burning 8 hours.
(I dont have many points as this is a new account but i will mark brainiest if work is shown and correct answer)
The linear equation that model the above is h = 32 -2t and the height of fire after 8 hours is 16 inches
What is a linear equation?A linear equation is an equation in which the highest power of the variable is always 1. It is also known as a one-degree equation. The standard form of a linear equation in one variable is of the form Ax + B = 0. Here, x is a variable, A is a coefficient and B is constant.
Using the equation for a straight line and writing similar
h = mt + c
h = height, t = hours m and c are constants
at h = 24, t = 4
Equation becomes
24 = 4m + c--------------1
at h = 20, t = 6
20 = 6m + c---------------2
Subtract equation 2 from 1 so that the eqution reduces to
4 = -2m
m = 4/-2
m = -2
substitute m in equation 1
24 = 4( -2) + c
24 = -8 + c
c = 32
substituting m and c in he linear equation above we have
h = 32 - 2t
After 8 hours, the height h = 32 -2(8) which is 16 inches
In conclusion the linear equation is h = 32 - 2t and the height of fire after 8 hours is 16 inches
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If a=3i+4j+5k and b=2i+j+7k. Find a.b
Which of the following correctly interprets the 99% confidence interval for the true mean number of fish in saltwater
tanks?
A. In repeated sampling, 99% of the time the true mean number of fish in saltwater tanks will be 48.2.
B. 99% of all saltwater tank owners have the number of fish in their tanks that lie between the values in the interval.
C. The manager can be 99% confident that the constructed interval captures the true mean number of fish in saltwater
tanks.
D. In repeated sampling, 99% of the time the true mean number of fish in saltwater tanks will be captured in the
constructed interval.
For the given confidence interval, the correct statement is Option C. The manager can be 99% confident that the constructed interval captures the true mean number of fish in saltwater tanks.
Confidence interval:
Confidence interval refers the mean of your estimate plus and minus the variation in that estimate.
Given,
Here we need to find which of the following correctly interprets the 99% confidence interval for the true mean number of fish in saltwater tanks.
While we looking into the given question,
We know that, it states that 99% confidence interval for the true mean number of fish in saltwater tanks,
Based on these fact the correct statement is the manager can be 99% confident that the constructed interval captures the true mean number of fish in saltwater tanks.
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Malik runs a farm stand that sells bananas and grapes. Each pound of bananas sells for $2 and each pound of grapes sells for $1. Malik made $64 from selling a total of 50 pounds of bananas and grapes. Determine the number of pounds of bananas sold and the number of pounds of grapes sold.
Using the system of linear equations, Malik sold 14 grapes and 36 oranges
System of EquationIn algebra, a system of equations comprises two or more equations and seeks common solutions to the equations. "A system of linear equations is a set of equations which are satisfied by the same set of variables."
To solve this, we have to set a system of linear equations.
Let;
x = bananay = grapesx + y = 50 ...eq(i)
2x + y = 64 ...eq(ii)
Solving both equations, the value of x and y are 14 and 36 respectively
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Answer: 14 and 36
Step-by-step explanation: 2023
the intersection of two regular pentagons can be
The intersection of two regular pentagons can be hexagon. Therefore, option D is the correct answer.
We need to find the figure formed with the intersection of two regular pentagons.
What is a regular pentagon?If all the polygon sides and interior angles are equal, then they are known as regular polygons. In a regular pentagon all the five sides are equal and all the angles are equal in measure.
Here, the intersection of two regular pentagons form a hexagon.
In a shape hexagon there are 7 sides.
The intersection of two regular pentagons can be hexagon. Therefore, option D is the correct answer.
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