Answer:
0.83
Step-by-step explanation:
0.1 + 0.73 = 0.10 + 0.73 = 0.83
Answer:
0.83
Step-by-step explanation:
0.73+0.1=0.83
I hope this helps! Have a blessed day!
Given that HCF (306,657) = 9, find LCM (306,657)
Answer:
The LCM of 306 and 657 is 22338
Step-by-step explanation:
We know that
HCF (a, b) × LCM (a, b) = a × b
⇒ HCF (306, 657) x LCM (306, 657) = 306 × 657
⇒ 9 × LCM = 306 × 657
⇒ LCM (306, 657) = 306 × 657 / 9
= 201042 / 9
∴ LCM = 22338
Thus, the LCM of 306 and 657 is 22338.
Sam bought 4 new baseball trading cards to add to his collection. The next
day his dog ate half of his collection. There are now only 25 cards left.
How many cards did Sam start with ?
Question
Which polygon appears to be regular?
Responses
Figure A
Figure B
Figure C
Figure D
The answer would be figure B. (pentagon)
If y = 12 when x = –15, find y when x = 2.
Answer:
29
Step-by-step explanation:
First make an equation that shows the relationship between x and y by finding what you need to do to x to get y:
-15 + ? = 12
? = 27
so the equation is : y = x + 27
now just plug in 2 for x:
y = 2 + 27
y + 29
PLEASE HELP I WILL GIVE BRAINLIEST
Find the measure of the arc.
D
А
1469
E
B.
mABC = [? ]°
Enter
The measure of arc AB is 236 degrees as the internal angle of arc AB is equal to the sum of the internal angles of arcs AC and EF.
To find the measure of arc AB, we need to use the given information and some basic geometry principles:
Since the internal angle of arc AC is 90 degrees, we know that line CD is perpendicular to line AE at the center.Similarly, line BF is perpendicular to line AE, and line BF is also perpendicular to line CD since all three lines intersect at the center.Therefore, points A, E, B, and F are collinear.The internal angle of arc EF is given as 146 degrees, which means that the external angle at point B is 180 - 146 = 34 degrees.The internal angle of arc AB is equal to the sum of the internal angles of arcs AC and EF, which is 90 + 146 = 236 degrees.Therefore, the measure of arc AB is 236 degrees.
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The question is -
Find the measure of the arc AB.
The melting point of each of 16 samples of a certain brand of hydrogenated vegetable oil was determined, resulting in xbar = 94.32. Assume that the distribution of melting point is normal with sigma = 1.20.
a.) Test H0: µ=95 versus Ha: µ != 95 using a two-tailed level of .01 test.
b.) If a level of .01 test is used, what is B(94), the probability of a type II error when µ=94?
c.) What value of n is necessary to ensure that B(94)=.1 when alpha = .01?
a) We can conclude that there is sufficient evidence to suggest that the true mean melting point of the samples is different from 95 at a significance level of .01.
b) If the true population mean melting point is actually 94, there is a 18% chance of failing to reject the null hypothesis when using a two-tailed test with a significance level of .01.
c) The population standard deviation is σ = 1.20.
a) To test the hypothesis H0: µ = 95 versus Ha: µ ≠ 95, we can use a two-tailed t-test with a significance level of .01. Since we have 16 samples and the population standard deviation is known, we can use the following formula to calculate the test statistic:
t = (xbar - μ) / (σ / sqrt(n))
where xbar = 94.32, μ = 95, σ = 1.20, and n = 16.
Plugging in the values, we get:
t = (94.32 - 95) / (1.20 / sqrt(16)) = -2.67
The degrees of freedom for this test is n-1 = 15. Using a t-distribution table with 15 degrees of freedom and a two-tailed test with a significance level of .01, the critical values are ±2.947. Since our calculated t-value (-2.67) is within the critical region, we reject the null hypothesis.
Therefore, we can conclude that there is sufficient evidence to suggest that the true mean melting point of the samples is different from 95 at a significance level of .01.
b) To calculate the probability of a type II error when µ = 94, we need to determine the non-rejection region for the null hypothesis. Since this is a two-tailed test with a significance level of .01, the rejection region is divided equally into two parts, with α/2 = .005 in each tail. Using a t-distribution table with 15 degrees of freedom and a significance level of .005, the critical values are ±2.947.
Assuming that the true population mean is actually 94, the probability of observing a sample mean in the non-rejection region is the probability that the sample mean falls between the critical values of the non-rejection region. This can be calculated as:
B(94) = P( -2.947 < t < 2.947 | μ = 94)
where t follows a t-distribution with 15 degrees of freedom and a mean of 94.
Using a t-distribution table or a statistical software, we can find that B(94) is approximately 0.18.
Therefore, if the true population mean melting point is actually 94, there is a 18% chance of failing to reject the null hypothesis when using a two-tailed test with a significance level of .01.
c) To find the sample size necessary to ensure that B(94) = .1 when α = .01, we can use the following formula:
n = ( (zα/2 + zβ) * σ / (μ0 - μ1) )^2
where zα/2 is the critical value of the standard normal distribution at the α/2 level of significance, zβ is the critical value of the standard normal distribution corresponding to the desired level of power (1 - β), μ0 is the null hypothesis mean, μ1 is the alternative hypothesis mean, and σ is the population standard deviation.
In this case, α = .01, so zα/2 = 2.576 (from a standard normal distribution table). We want B(94) = .1, so β = 1 - power = .1, and zβ = 1.28 (from a standard normal distribution table). The null hypothesis mean is μ0 = 95 and the alternative hypothesis mean is μ1 = 94. The population standard deviation is σ = 1.20.
Plugging in the values, we get:
n = ( (2.576 + 1.28) * 1.20 / (95 - 94) )
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In theory, prisoner classification occurs at which of the following stages: A. during transfer to another institution B. in preparation for release C, after an inmate encounters problems D. all of these
In theory, Option D. All of these stages occurs at prisoner classification.
Prisoner classification occurs during transfer, in preparation for release, and after problems occur. All of these stages are important for assessing an inmate's risk and providing appropriate security.
Prisoner Classification ProcessPrisoner classification involves assessing an inmate's risk level and providing an appropriate security level based on the results. This assessment is conducted during various stages, such as during transfer to another institution, in preparation for release, and after the inmate encounters problems. The classification process may involve evaluating an:
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7. The points (−2,−4) and (5,6) are the endpoints of the diameter of a circle. Find the length of the radius of the circle.
Answer
6.10
Use the distance formula:
\(\sf d = \sqrt{(x_2 - x_1)^2 + (y_2-y_1)^2}\)
where (x1, y1), (x2, y1) are points
\(\rightarrow \sf d =\sqrt{(5-(-2))^2 + (6-(-4))^2}\)
\(\rightarrow \sf d =\sqrt{(7)^2 + (10)^2}\)
\(\rightarrow \sf d =\sqrt{149}\)
This is the length of diameter.
Then radius:
· diameter/2
\(\sf \cdot \dfrac{\sqrt{149 } }{2}\)
\(\sf \cdot 6.103277808\)
\(\sf \cdot 6.10 \ \ (rounded \ to \ nearest \ hundreth)\)
The solution of the given linear equation 6m+7/3m+2 = 5/4 is
Step-by-step explanation:
\( \longmapsto \rm \dfrac{6m + 7}{3m + 2} = \dfrac{5}{4} \)
By cross multiplication,
→ 4(6m + 7) = 5(3m + 2)
→ 24m + 28 = 15m + 10
→ 24m - 15m = 10 - 28
→ 9m = -18
→ m = -18 ÷ 9
→ m = -2
Value of m is -2.
Central conservative forces: (a) Consider the force F= r2kr^ : Is this force conservative? Is it central? If it is conservative find the potential energy V(r). For full marks you need to justify your answer and explain any assumptions that you make.
The force F = r^2k(r^) is not conservative because its curl is nonzero. The force is central because it depends only on r and acts along the radial direction. Since it is not conservative, there is no potential energy function V(r) associated with this force
To determine whether the force F = r^2k(r^) is conservative and central, let's analyze its properties.
A force is conservative if it satisfies the condition ∇ × F = 0, where ∇ is the gradient operator. In Cartesian coordinates, the force can be written as F = Fx i + Fy j + Fz k, where Fx, Fy, and Fz are the components of the force in the x, y, and z directions, respectively. The curl of F is given by:
∇ × F = (∂Fz/∂y - ∂Fy/∂z)i + (∂Fx/∂z - ∂Fz/∂x)j + (∂Fy/∂x - ∂Fx/∂y)k.
Calculating the components of F = r^2k(r^):
Fx = 0, since there is no force component in the x-direction.
Fy = 0, since there is no force component in the y-direction.
Fz = r^2kr^.
Taking the partial derivatives, we have:
∂Fz/∂x = ∂/∂x (r^2kr^) = 2rkr^2(∂r/∂x) = 2rkr^2(x/r) = 2xkr^3.
∂Fz/∂y = ∂/∂y (r^2kr^) = 2rkr^2(∂r/∂y) = 2rkr^2(y/r) = 2ykr^3.
Substituting these values into the curl equation, we get:
∇ × F = (2ykr^3 - 2xkr^3)k = 2k(r^3y - r^3x).
Since the curl of F is not zero, ∇ × F ≠ 0, we conclude that the force F = r^2k(r^) is not conservative.
Now let's determine if the force is central. A force is central if it depends only on the distance from the origin (r) and acts along the radial direction (r^).
For F = r^2k(r^), the force is indeed central because it depends solely on r (the magnitude of the position vector) and acts along the radial direction r^. Hence, it can be written as F = Fr(r^), where Fr is a function of r.
Since the force is not conservative, it does not possess a potential energy function. In conservative forces, the potential energy function V(r) can be defined, and the force can be expressed as the negative gradient of the potential energy, i.e., F = -∇V. However, since F is not conservative, there is no potential energy function associated with it.
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help me plz im very confused
Answer:
x = 11
Step-by-step explanation:
The two angles form a straight line so they add to 180
4x+15 + 11x = 180
Combine like terms
15x+15 = 180
Subtract 15 from each side
15x+15-15 = 180-15
15x = 165
Divide by 15
15x/15 =165/15
x = 11
The graph below represents the purchasing power of your
income with 8% inflation.
What is your purchasing power if your income is $2600?
pls help!
The purchasing power if your income is $2600 is about $2400, the correct option is D.
How to find how much percent 'a' is of 'b'?
Suppose a number is 'a'
Suppose another number is 'b'
We want to know how much percent of 'b' is 'a'.
Then, it is calculated as:
\(\dfrac{a}{b} \times 100\)
(in percentage)
We are given that;
Inflation rate =8%
Income=%2600
Now, Using the two points on the line of 8% inflation, we can find the equation of the line:
Point 1: (1500, 1400)
Point 2: (3200, 400)
The slope of the line is:
slope = (400 - 1400) / (3200 - 1500) = -1000/1700 = -0.5882
The y-intercept of the line is:
y-intercept = 1400 - (-0.5882)(1500) = 2329.4
So, the equation of the line is:
y = -0.5882x + 2329.4
where x is the income and y is the purchasing power after 8% inflation.
Substituting x = 2600, we get:
y = -0.5882(2600) + 2329.4
y ≈ 2402.8
Therefore, by the given percentage of inflation the answer will be $2400.
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PLEASE EXPLAIN!!!
You are planning to use a ceramic tile design in your new bathroom. The tiles are equilateral triangles. You decide to arrange the tiles in a hexagonal shape as shown. If the side of each tile measures 11cm, what will be the exact area of each hexagonal shape?
A: 3,993 cm^2
B: 181.5√3 cm^2
C: 132√3 cm^2
D: 33cm^2
The exact area of each hexagonal shape is 181.5sqrt(3) cm^2. Option B
To determine the exact area of each hexagonal shape formed by the equilateral triangles, we need to calculate the area of one equilateral triangle and then multiply it by the number of triangles that make up the hexagon.
The formula to calculate the area of an equilateral triangle is:
Area = (sqrt(3) / 4) * side^2
Given that the side of each tile measures 11 cm, we can substitute this value into the formula to find the area of one equilateral triangle:
Area = (sqrt(3) / 4) * (11 cm)^2
= (sqrt(3) / 4) * 121 cm^2
= 121sqrt(3) / 4 cm^2
Now, since the hexagon is formed by six equilateral triangles, we can multiply the area of one triangle by 6 to find the total area of the hexagon:
Hexagon Area = 6 * (121sqrt(3) / 4 cm^2)
= 726sqrt(3) / 4 cm^2
= 181.5sqrt(3) cm^2
Therefore, the exact area of each hexagonal shape is 181.5sqrt(3) cm^2.
The correct answer is B: 181.5√3 cm^2.
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A cube has a volume of 64 cubic centimeters. What is the height of the cube?
Answer:
4 cm
Step-by-step explanation:
v=a³
a=v⅓ =64⅓ =4cm
hope it helps
Find the distance between (-10,-7),(-8,1)
Answer:
6.325
Step-by-step explanation:
Help me☺️☺️☺️plssssssssss
Answer:
9
Step-by-step explanation:
Answer:
9
Step-by-step explanation:
for example, the original length is 3, 3x3= 9
then, 3x3= 9, 9 is our new length, 9x9=81
81/9= 9
hope this helps u ! :))
A gardener planted a newly sprouted oak tree that was just 3.5 inches tall. The sapling grew 12 inches each year.
Write an equation that shows how the sapling's height in inches, y, depends on the number of years since it was planted, x.
Answer:
y = 12x + 3.5--------------------------------------
Initial height is the y-intercept of the line.
Yearly growth rate is the slope.
So we have:
m = 12, b = 3.5.The equation of the line with these constants is:
y = mx + by = 12x + 3.5PLS HELP ASAP!! WILL MARK BRAINLYIST
the value of a textbook is $63 and decreases at a rate of 11% per year for 13 years.
the exponential function that models the situation is y=?
after 13 years, the value of the textbooks is $?
Answer:
$13.85
Step-by-step explanation:
If the textbook decreases by 11% per year, this means it will be 89% of the previous year's value since 100% - 11% = 89%
89% in decimal form = 89/100 = 0.89
Therefore, the exponential function is:
\(y = 63 \cdot 0.89^x\), where \(x\) is the number of years
So when \(x=13\),
\(y = 63 \cdot 0.89^{13}=13.84875..=13.85\)
Mrs. Martin bought a flat screen that originally costs $220.00. If her coupon was for 30% off.
Answer:
66$
Step-by-step explanation:
\(300 \times \frac{30}{100} = 66\)
-80% + 50/54 (fraction) - 0.25
Answer:
-67/540
Step-by-step explanation:
I just converted - 80% to a decimal which is - 0.8 and then used a calculator for the rest.
A paper that examined the effect of a supplement on running speed in 10 athletes reported that running speed improved an average of 2 second/mile with a 90% confidence interval for the mean of 0.1 to 3.9 seconds/mile. What is the two-sided p-value for the corresponding paired ttest
The supplement has a statistically significant effect on running speed at a significance level of 0.05 (since the p-value is less than 0.05).
To find the two-sided p-value for the corresponding paired t-test, we need to use the information given in the paper. The paper reported that running speed improved by an average of 2 seconds/mile with a 90% confidence interval for the mean of 0.1 to 3.9 seconds/mile. To calculate the two-sided p-value, we need to assume that the null hypothesis is that the supplement has no effect on running speed. Therefore, the alternative hypothesis is that the supplement does have an effect on running speed. Using a t-test, we can calculate the t-statistic as (2 - 0) / (0.9 / sqrt(10)) = 7.95 (where 0 is the hypothesized mean improvement in running speed and 0.9 is the standard error of the mean based on the confidence interval given). Using a t-distribution table with 9 degrees of freedom (n-1), we can find that the probability of getting a t-statistic greater than or equal to 7.95 (or less than or equal to -7.95) is less than 0.001.
Since this is a two-sided test, we need to double this probability to get the two-sided p-value, which is less than 0.002. Therefore, we can conclude that the supplement has a statistically significant effect on running speed at a significance level of 0.05 (since the p-value is less than 0.05).
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Instructions: Use the ratio of a 30-60-90 triangle to solve for the variables. Leave your
answers as radicals in simplest form.
Answer:
x = 10
y = 5
Step-by-step explanation:
Applying Trigonometry ratio
sin∅ = opposite/hypotenuse
cos∅ = Adjacent/hypotenuse
From the diagram,
sin60° = 5√3/x
make x the subject of the equation
x = 5√3/sin60°
But, sin60° = √3/2
x = 5√3/(√3/2)
x = (5√3)(2/√3)
x = 10.
Also, applying
cos60° = y/x
Where x = 10, cos60° = 1/2
y = xcos60°
y = 10(1/2)
y = 5
(3^2+4−2)(2^2−3−4) can you guys please solve this for me please.
Answer:
-33
Step-by-step explanation:
\((3^2+4-2)(2^2-3-4)\)
\((9+4-2)(4-3-4)\)
\((13-2)(1-4)\)
\((11)\) · \((-3)\)
(-33)
Which figure best demonstrates the setup for the box method of finding the area of a triangle? On a coordinate plane, a triangle is shown. A rectangular box is drawn around the triangle and share 2 sides with the triangle. On a coordinate plane, a triangle is shown. A rectangular box is drawn around the triangle and the 3 points of the triangle touch the sides of the box. The box is 2 units larger than one side of the triangle. On a coordinate plane, a triangle is shown. A rectangular box is drawn around the triangle and all 3 points of the triangle are on the sides of the box. On a coordinate plane, a triangle is shown. A rectangular box is drawn around the triangle and 2 points of the triangle are on the box.
Answer:
C
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
The answer is C in Edge. Just took the assigment. Hope this helps! :)
Evaluate J by means of trapezoidal rule using n = 10 and n = 20: 1 1 = √ exp(-x²)dx 0 Note that this integral cannot be evaluated by elementary calculus, but leads to the error function.
Question
The value of the integral J, calculated using the trapezoidal rule with n = 10 and n = 20, is required.
The trapezoidal rule is a numerical method used to approximate the value of an integral. It approximates the area under a curve by dividing the interval into smaller segments and approximating each segment as a trapezoid.
In this case, we need to evaluate the integral of exp(-x²) from 0 to 1. Since this integral cannot be evaluated by elementary calculus, numerical methods like the trapezoidal rule can be employed.
To apply the trapezoidal rule, we divide the interval from 0 to 1 into n equal subintervals. For each value of n (10 and 20 in this case), we calculate the approximate value of the integral using the trapezoidal rule formula.
The trapezoidal rule formula for approximating an integral is:
J ≈ h/2 * [f(x₀) + 2f(x₁) + 2f(x₂) + ... + 2f(xₙ₋₁) + f(xₙ)], where h is the step size and f(x) is the function being integrated.
By substituting the appropriate values into the formula for each value of n (10 and 20), we can calculate the approximate values of J using the trapezoidal rule.
Therefore, by applying the trapezoidal rule with n = 10 and n = 20, we can obtain approximations for the integral J.
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please i need help with this asap!!! I will give brainliest!!! please and thank you!!
Answer:
The y-intercept is 2 and the slope is 1/2. So the equation is y = 1/2x + 2
Step-by-step explanation:
The y-intercept is where the line starts on the y-axis. For the slope to the next point on the line you have to move 2 units to the right and 1 unit up. When writing the slope as a fraction, you always put how far you move up or down above how far you move to the right or left.
kara is sending a gift to her grandmother. The gift is wrapped in a cube shaped box with sode lengths of 6 inches. She wants to use thd shipping box that is closest to the size of her gift. What shipping box should Kara use ?
Answer:
21 is the answer 21 is the awnser that's all
please please please help me with my geometry homework. it needs to be done ASAP
Answer:
only give the name to all figure
Lena is asked to write an explicit formula for the graphed geometric sequence. On a coordinate plane, 3 points are plotted. The points are (1, 1), (2, 2.5), (3, 6.25). What value, written as a decimal, should Lena use as the common ratio? 1.0 1.5 2.5
Answer:
Common Ratio = 2.5
Step-by-step explanation:
Given
Points: (1, 1), (2, 2.5), (3, 6.25)
Required
Determine the common ratio
The points can be rewritten as:
x --- f(x)
1 ---- 1
2 --- 2.5
3 ---- 6.25
The data under the x column are the domain of the function and in this case, they are not needed;
To calculate common ration, Lena should use data in function f(x) column
Common ratio is calculated by dividing a term by the previous term;
Hence;
Common Ratio = 2.5/1 or 6.25/2.5
Common Ratio = 2.5 or 2.5
Notice that, the results are the same;
Hence, the usable common ratio is 2.5
Answer:
c
Step-by-step explanation:
edge2020
I’m really struggling ,please help!!!!
Answer:
x = 16°
Step-by-step explanation:
The triangles are approximately congruent
90 + 66 = 156
180 - 156 = 24
(x + 8) = 24
x = 16°
check
(16 + 8) = 24
90 + 66 + 24 = 180
Answer: x=16
Explanation:
The triangles shown are congruent and both of the triangles should have the sum of the angles as 180°. The equation should be (x+8)+66+90=180. Add the like terms to result with x+164=180. Subtract 156 to both sides to result with x=16.