Answer:
43721/100000
Step-by-step explanation:
To write 0.43721 as a fraction you have to write 0.43721 as numerator and put 1 as the denominator. Now you multiply numerator and denominator by 10 as long as you get in numerator the whole number.
0.43721 = 0.43721/1 = 4.3721/10 = 43.721/100 = 437.21/1000 = 4372.1/10000 = 43721/100000
Answer:
43,721/99,999
Step-by-step explanation:
A non-terminating, repeating decimal can be written as a fraction.
How many digits repeat?
If the digits 43721 repeat, and the decimal number is
0.437214372143721..., then we can convert it into a fraction.
Let x = 0.437214372143721... Eq. 1
Then 100,000x = 43,721.4372143721... Eq. 2
Now we subtract Eq. 1 from the Eq. 2.
100,000x = 43,721.4372143721...
(-) x = 0.4372143721...
--------------------------------------------------
99,999x = 43,721
x = 43,721/99,999
Answer: 43,721/99,999
Elliot drew this model to solve the problem -3+4 but then realized he made a mistake. What addition problem is represented by Elliot's model?
Answer: -3+4 so he made a mistake so it would be -7
Step-by-step explanation:
HELPPP 20 PNTS---- CHOOSE THE WRITE ANSWER!!!!
Answer:
B. is correct answer I think so
Step-by-step explanation:
i need help please
plz mark me as brilliant
Instructions: Find the measure of the indicated angle to the nearest
degree.
50
?
17
Answer:
x = 19
Step-by-step explanation:
Since this is a right triangle, we can use trig functions
tan theta = opp /adj
tan ? = 17/50
Taking the inverse tan of each side
tan ^-1 (tan ?)) = tan^-1 (17/50)
? =18.77803
To the nearest degree
x = 19
A researcher conducted a one-sided hypothesis test for a proportion (Ha:p>po) and obtained a test statistic of 4.318. Which of the following are true? Check all that apply. - The observed sample proportion is 4.318 standard deviations above the claimed value po. - The large value of the test statistic means that our observed data are not surprising when the null hypothesis is true. - The researcher should fail to reject the null hypothesis. - When the null hypothesis is true, the test statistic comes from a standard normal distribution. - There is a 4.318% chance that the alternative hypothesis is true.
This statement is true, as the test statistic represents the number of standard deviations between the observed sample proportion and the claimed value (po) under the null hypothesis.
- The large value of the test statistic means that our observed data are not surprising when the null hypothesis is true. This statement is false. A large test statistic implies that the observed data is surprising when the null hypothesis is true, which means there is evidence against the null hypothesis.
- The researcher should fail to reject the null hypothesis. This statement is false. A large test statistic suggests evidence against the null hypothesis, so the researcher should reject the null hypothesis in favor of the alternative hypothesis.
- When the null hypothesis is true, the test statistic comes from a standard normal distribution. This statement is true, as the test statistic follows a standard normal distribution when the null hypothesis is true.
- There is a 4.318% chance that the alternative hypothesis is true. This statement is false. The test statistic does not directly provide the probability of the alternative hypothesis being true. Instead, we can use the test statistic to calculate the p-value, which represents the probability of obtaining a test statistic as extreme as the observed one, assuming the null hypothesis is true.
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Solve for x! 37m,12m,5xm
Answer:
\(\Huge\boxed{x=7}\)
Step-by-step explanation:
Hello there!
The first thing we want to do is find the measure of the large leg
To do so we use the Pythagorean theorem which says \(a^2+b^2=c^2\\\)
where a and b are legs and c is the hypotenuse
we want to find b given the hypotenuse and short leg
so \(b^2=c^2-a^2\)
all we have to do is plug in a ( a = short leg so a would equal 12) and c ( c = hypotenuse so c would equal 37)
so
\(b^2=37^2-12^2\\37^2=1369\\12^2=144\\1369-144=1225\\b^2=1225\\\sqrt{b^2} =b\\\sqrt{1225} =35\\b=35\)
so the longer leg is equal to 35
35=5x
divide each side by 5
5x/5=x
35/5=7
we're left with x=7
PLEASE ANSWER WILL MARK BRAINLIEST!!!!!!!!!
Answer:
36.87°
Step-by-step explanation:
cos C = 4/5
arccos C = 36.87
Can someone help pls!!
Answer:
C) 42.14 cm²
Step-by-step explanation:
Recall the area formulas for a square and circle:
Area of square: A=s²
Area of circle: A=πr²
Given:
π=3.14
s=14
r=s/2=14/2=7
Therefore, the area of the square is A=14²=196 cm²
The area of the two semicircles is A=3.14(7)²=3.14(49)=153.86 cm²
Find the difference between the two areas to get the shaded area:
196 - 153.86 = 42.14
Therefore, the shaded area is 42.14 cm², making C the correct choice.
Answer:
C
Step-by-step explanation:
1) find the area of the square
A = side^2 = 14^2 = 196 cm^2
2) find the radius of the two semicircles
radius = side / 2 = 14 : 2 = 7 cm
3) find the areas of the two semicircles
A = radius^2 x 3,14 x 2 = 7^2 x 3,14 = 153.86 cm^2
4) find the area of the shaded region
196 - 153.86 = 42.14 cm^2
Guys can you please help. I dont understand. Thank you. :))))
Lines AB and CD intersect at E. If the measure of angle AEC=5x-20 and the measure of angle BED=x+50, find, in degrees, the measure of angle CEB.
Answer: 112.5
Step-by-step explanation: When line AB and CD intersect at point E, angle AEC equals BED so you set them equal to each other and find what x is. 5x -20 = x + 50, solving for x, which gives you 17.5. Finding x will tell you what AEC and BED by plugging it in which is 67.5. Angle BED and BEC are supplementary angles which adds up to 180 degrees. So to find angle CEB, subtract 67.5 from 180 and you get 112.5 degrees.
Sketch the set of points in space satisfying the cylindrical coordinate conditions (1≤r≤2),(0≤θ≤π/2),and(1≤z≤2).
A cylinder with radius 1, height 1 in 1st octant of xyz-plane, center at origin, height from z=1 to z=2 and θ from 0 to π/2.
What is cylinder ?
A cylinder has traditionally been a three-dimensional solid, one of the most basic of curvilinear geometric shapes. In elementary geometry, it is considered a prism with a circle as its base.
The cylindrical coordinate conditions can be expressed mathematically as:
1≤r≤2
0≤θ≤π/2
1≤z≤2
These conditions define a cylinder with radius 1 and height 1 located in the first octant of the xyz-plane. The cylinder has its center at the origin (0,0,0) and its height extends from z = 1 to z = 2. The angle θ ranges from 0 to π/2, meaning that the cylinder is restricted to the first quadrant in the xy-plane.
A cylinder with radius 1, height 1 in 1st octant of xyz-plane, center at origin, height from z=1 to z=2 and θ from 0 to π/2.
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Please help 5 points Question in picture
Identify the type of slope each graph represents
A) Positive
B) Negative
C) Zero
D) Undefined
Answer:
C. zero
Step-by-step explanation:
The equation for this graph is y = 2
Because the slope is 0 and the y-intercept is 2, that is why the line runs across y = 2.
Before running in a 100-m race, Gaalen's heart rate was
70 beats/min. Which do you think is more likely after the race:
60 beats/min or 120 beats/min? Explain.
Answer:
120 bpm
Step-by-step explanation:
after strenuous exercise your heart rate wouldn't decrease as your body needs more oxygenated blood causing your heart to pump harder and faster
Answer:
120 bpm just like the guy above
Step-by-step explanation:
I had the same question
Blueberries cost $4.00 per pound.
How many pounds of blueberries can you buy for $13.00?
Answer:
3 pounds
Step-by-step explanation:
13/4=3.25
Answer:
3.25 i think hehe
Step-by-step explanation:
Of the options below select the one/ones that represent a unit rate:
A. 105 miles in 2 hours
B. 28 dollars per hour
C. 17 points per game
D. 46 points in three games
са
mb
Od
[x3
x<-3]
Determine f(5) for f(x) = 2x²-9, -3≤x<4
5x+4,
x24]
The f(5) for the given function f(x) is equal to 29.
We have,
f(x) = {x³ x< -3
2x² -9 -3≤x<4
5x+ 4 x≥4}
To determine f(5) for the function f(x), we need to evaluate the function at x = 5.
Let's consider the different cases based on the given piecewise definition of f(x):
For x < -3:
Since 5 is not less than -3, this case does not apply to the value we are evaluating.
For -3 <= x < 4:
Again, 5 does not fall within this range. Therefore, this case also does not apply.
For x >= 4:
Since 5 is greater than or equal to 4, this case applies. In this case, the function is defined as 5x + 4. So, substituting x = 5 into this equation, we get:
f(5) = 5(5) + 4
f(5) = 25 + 4
f(5) = 29
Therefore, f(5) for the given function f(x) is equal to 29.
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The number of people entering a state park is a random variable X with a mean of 3 and a variance of 2. The admission to the park is $6 per car plus an additional $1.50 per person in the car. What is the mean of the total amount of money collected for a car entering the park
Answer: $10.50
Step-by-step explanation:
Given the following :
Number of people entering the park = X
Mean number of people = 3
Fixed admission fee = $6
Additional fee per passenger = $1.50
Therefore, mean total paid by a car entering the park :
MEAN Total = Admission fee + (additional fee * mean number of people entering the park)
mean Total = $6 + ($1.50 * 3)
Mean total = $6 + $4.50 = $10.50
A circle has center D and passes through the points F and G. Which of the following is the name of this circle?
Answer:
Circle D
Step-by-step explanation:
The answer is Circle D
. (Linearity of expectation I) Let X be a random variable, and a, b be constants. Use properties of integration/summation to show that: E(aX b)
The required property Linearity of expectation is proved below.
What is Linearity of Expectation?Linearity of expectation is the property that the expected value of the sum of random variables is equal to the sum of their individual expected values, regardless of whether they are independent.
Let p(x) be the probability mass function.
Then, by definition,
E( aX + b ) = \(\sum{(ax+b)(p(x))}\\x\)
=> E (aX + b) = \(\sum{(ax.p(x) + b.p(x))}\\x\)
=> E (aX + b) = \(\sum{ax.p(x)}\\x\) + \(\sum{b.p(x)}\\x\)
=> E (aX + b) =( \(\sum{x.p(x)}\\x\))a +( \(\sum{p(x)}\\x\))b
=> E (aX + b) = a E(X) + b [ as E(X) = \(\sum{x.p(x)}\\x\) and \(\sum{p(x)}\\x\) = 1 ]
Hence, proved the property Linearity of expectation.
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Can someone help? Thanks :D
Answer:
\(y\leq -x+4\)
Step-by-step explanation:
The first thing that we can do is look at the equation of the line and then worry about the inequality afterwards.
This line has a y-intercept of 4 and a slope of -1.
This means that the equation of this line would be \(y=-x+4\)
Now that we have the equation of the line, we just need to determine which inequality sign to use.
As the shaded region is BELOW the line, we will use a less than (<) sign.
As the line is fully shaded, I can only assume that it is meant to include the line, which would mean that \(y\leq -x+4\) would be the equation for this inequality.
Ezekiel bought a 18 ounce box of chocolate for $6.50. What was the cost per ounce? in a explanation order
Answer:0.36
Step-by-step explanation:
You divide 18 by 6.50, that give you the cost per ounce
An item on sale costs %25 of the original price. The original price was $95
Matti is making moonshine in the woods behind his house. He’s
selling the moonshine in two different sized bottles: 0.5 litres
and 0.7 litres. The price he asks for a 0.5 litre bottle is 8€, for
a
Based on the calculation, it appears that Matti had approximately 94 bottles of 0.5 litres and 11 bottles of 0.7 litres in the last patch of moonshine that he sold.
To solve the problem using the determinant method (Cramer's rule), we need to set up a system of equations based on the given information and then solve for the unknowns, which represent the number of 0.5 litre bottles and 0.7 litre bottles.
Let's denote the number of 0.5 litre bottles as x and the number of 0.7 litre bottles as y.
From the given information, we can set up the following equations:
Equation 1: 0.5x + 0.7y = 16.5 (total volume of moonshine)
Equation 2: 8x + 10y = 246 (total earnings from selling moonshine)
We now have a system of linear equations. To solve it using Cramer's rule, we'll find the determinants of various matrices.
Let's calculate the determinants:
D = determinant of the coefficient matrix
Dx = determinant of the matrix obtained by replacing the x column with the constants
Dy = determinant of the matrix obtained by replacing the y column with the constants
Using Cramer's rule, we can find the values of x and y:
x = Dx / D
y = Dy / D
Now, let's calculate the determinants:
D = (0.5)(10) - (0.7)(8) = -1.6
Dx = (16.5)(10) - (0.7)(246) = 150
Dy = (0.5)(246) - (16.5)(8) = -18
Finally, we can calculate the values of x and y:
x = Dx / D = 150 / (-1.6) = -93.75
y = Dy / D = -18 / (-1.6) = 11.25
However, it doesn't make sense to have negative quantities of bottles. So, we can round the values of x and y to the nearest whole number:
x ≈ -94 (rounded to -94)
y ≈ 11 (rounded to 11)
Therefore, based on the calculation, it appears that Matti had approximately 94 bottles of 0.5 litres and 11 bottles of 0.7 litres in the last patch of moonshine that he sold.
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Question
Matti is making moonshine in the woods behind his house. He’s selling the moonshine in two different sized bottles: 0.5 litres and 0.7 litres. The price he asks for a 0.5 litre bottle is 8€, for a 0.7 litre bottle 10€. The last patch of moonshine was 16.5 litres, all of which Matti sold. By doing that, he earned 246 euros. How many 0.5 litre bottles and how many 0.7 litre bottles were there? Solve the problem by using the determinant method (a.k.a. Cramer’s rule).
the straight line L has the equation 4y=5x+3. Point A has the coordinates (3,-2) Find the equation of the line straight line that is perpendicular to L and passes through A. Write your answer in the form y-mx+c where m and c are decimals or fractions {3 marks}
Answer:
y = - \(\frac{4}{5}\) x + \(\frac{2}{5}\)
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Rearrange 4y = 5x + 3 into this form by dividing the 3 terms by 4
y = \(\frac{5}{4}\) x + \(\frac{3}{4}\) ← in slope- intercept form
with slope m = \(\frac{5}{4}\)
Given a line with slope m then the slope of a line perpendicular to it is
\(m_{perpendicular}\) = - \(\frac{1}{m}\) = - \(\frac{1}{\frac{5}{4} }\) = - \(\frac{4}{5}\) , thus
y = - \(\frac{4}{5}\) x + c ← is the partial equation
To find c substitute (3, - 2) into the partial equation
- 2 = - \(\frac{12}{5}\) + c ⇒ c = - 2 + \(\frac{12}{5}\) = \(\frac{2}{5}\)
y = - \(\frac{4}{5}\) x + \(\frac{2}{5}\) ← equation of perpendicular line
pooled variance =a. SS1 + SS2 / df1 + df2b. SS1 + SS2 / n1 + n2
The formula you have given (SS₁ + SS₂) / (n₁+ n₂) is actually the formula for the unweighted average of the variances, which is not appropriate when the sample sizes and variances are different between the two samples.
The formula for pooled variance is:
pooled variance = (SS₁+ SS₂) / (df₁ + df₂)
where SS₁ and SS₂ are the sum of squares for the two samples, df₁ and df₂ are the corresponding degrees of freedom, and the pooled variance is the weighted average of the variances of the two samples, where the weights are proportional to their degrees of freedom.
Note that the denominator is df₁ + df₂ not n₁+ n₂. The degrees of freedom take into account the sample sizes as well as the number of parameters estimated in
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Use a calculator to find each sum or difference. Round your answer to the nearest hundredth.
a. 422 3/7 - 367 5/9
b. 23 1/5 + 45 7/8
Answer:
54.87
69.08
Step-by-step explanation:
Using the given symbolization key, translate each English-language assertion into Propositional Logic. E1: Ava is an electrician. E2: Harrison is an electrician. F1: Ava is a firefighter. F2: Harrison is a firefighter. S1: Ava is satisfied with her career. S2: Harrison is satisfied with his career. 1) If Ava is not an electrician, then neither is Harrison, but if she is, then he is too. 2) Ava is satisfied with her career if and only if Harrison is not satisfied with his. 3) Harrison and Ava are both firefighters if and only if neither of them is an electrician.
If Ava is not an electrician, then Harrison is not an electrician, but if Ava is an electrician, then Harrison is an electrician.
Symbolization in Propositional Logic:
Let S represent "Ava is satisfied with her career"
Let T represent "Harrison is satisfied with his career"
b) Ava is satisfied with her career if and only if Harrison is not satisfied with his.
Translation: S ↔ ~T
The statement uses the biconditional operator "if and only if" to establish an equivalence between Ava's satisfaction with her career and Harrison's lack of satisfaction with his career. It is symbolized as S ↔ ~T, where S represents Ava's satisfaction and ~T represents Harrison's lack of satisfaction.
The biconditional operator ensures that both sides of the statement are equivalent. If Ava is satisfied with her career, then Harrison must not be satisfied with his career, and vice versa. The statement establishes a direct relationship between the satisfaction levels of Ava and Harrison.
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16]
Use the two-way frequency table to complete the row relative frequency table. Drag the numbers into the boxes.
Sandwich Pasta
Volleyball
19
15
Swimming 26
10
Total
45
25
28 36 64
Lunch Order
Volleyball
Sport Swimming
Total
72 100
Sandwich
56%
%
%
Total
34
36
70
Lunch Order
Pasta
44%
%6
196
Total
100%
100%
The relative frequency is solved and the table of values is plotted
Given data ,
The lunch order is given by the 2 sets of dishes as
A = { Sandwich , Pastas }
Now , the sports activities are given by 2 sets as
B = { Volleyball , Swimming }
From the table of values , we get
The relative frequency is solved as
Relative Frequency = Subgroup frequency / Total frequency
The percentage of Swimming ( sandwich ) = 26/36
Swimming ( sandwich ) = 72 %
And , the percentage of Swimming ( pasta ) = 10/36
Swimming ( pasta ) = 28 %
Now , the percentage of total sandwich = 45/70 = 64 %
And , the percentage of total pasta = 25/70 = 36 %
Hence , the relative frequency is solved
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use the binomial distribution formula to find the following probabilities. round to four decimal places and show your work. a) on average, how many of the small businesses are expected to be owned by women? b) what is the standard deviation for the number of small businesses owned by women? c) what is the probability that exactly 4 of the small businesses are owned by women? d) what is the probability that no more than 1 of the small businesses is owned by a woman? e) what is the probability that between 1 and 4 of the small businesses are owned by women? f) what is the probability that the number of small businesses owned by women will be less than the average? g) what is the probability that all of the small businesses are owned by men? hint: if all of the small businesses are owned by men, how many are owned by women? h) what is the probability that not all of the small businesses will be owned by men?
The binomial distribution formula, we need to know the probability of a small business being owned by a woman and the total number of small businesses.
What is the purpose of the binomial distribution?The questions using the binomial distribution formula, we need to know the probability of a small business being owned by a woman and the total number of small businesses.
Without this information, it is not possible to provide accurate calculations. The binomial distribution formula is used when we have a fixed number of independent trials (small businesses in this case) and each trial has two possible outcomes (owned by a woman or not).
We would need the probability of success (p) and the number of trials (n) to calculate the probabilities. Once we have these values, we can use the formula to find the desired probabilities, such as the expected number of small businesses owned by women, the standard deviation, and the probabilities for specific scenarios.
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i need help with this can you help me ples 3/ 1/ 2 ÷ 1 /2
Answer:
Step-by-step explanation:
1/2x 7 =3 1/2
7
Can someone help me with this
Answer:
y - 7 = 2 and x - 5 = 6 because y=9 and x=11
Step-by-step explanation:
Given the velocity v = ds/dt and the initial position of a body moving along a coordinate line, find the body's position at time t. v = 9.8t + 9, s(0) = 17
We are given v = ds/dt, v = 9.8t + 9, s(0) = 17. We need to find the position of a body moving along a coordinate line at time t.
Using the formula of velocity, we can integrate it with respect to t to find the position of the body at any time t. The formula for velocity is:v = ds/dt... (1) Integrating equation (1) with respect to t, we get's = ∫vdt + C ...(2)
Here, C is the constant of integration, and it is found using the given initial position. Given, s(0) = 17Substitute s = 17 and t = 0 in equation (2).17 = ∫(9.8t + 9)dt + C [∵ s(0) = 17]17 = 4.9t² + 9t + C
Therefore, C = 17 - 4.9t² - 9tOn substituting the value of C in equation (2), we get:s = ∫vdt + 17 - 4.9t² - 9t ...(3)Now, we can substitute the given velocity, v = 9.8t + 9, in equation (3).s = ∫(9.8t + 9)dt + 17 - 4.9t² - 9ts = 4.9t² + 9t + 17 - 4.9t² - 9ts = 9t + 17
Hence, the position of the body at time t is 9t + 17 units.
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