Answers
Answer:
26. 138 , 27. x=45
Step-by-step explanation:
26.
QRP= 90° bcs it is tangent
QSP=90° bcs it is tangent
Four sided(Over all)= 360°
RQS= X
RPS= 42°
X + 90+90+42 = 360
X= 138°
27.
Over all= 360°
PRQ=PSQ
PRQ= 90° bcs it is tangent
360= 90+90+X+ 3X
X = 45°
Related Questions
Brainliest to whoever gets this correct True or false: f(x) is a function.
Answers
Answer:
f(x) is not a function meaning this is false.
Step-by-step explanation:
One input, can only have one output. In this case 5 has two outputs, 1 and 3. This statement is false.
Hope this helped! :)
Assume the acceleration of the object is a(t) = −32 feet per second per second. (Neglect air resistance.) A ball is thrown vertically upward from a height of 5 feet with an initial velocity of 50 feet per second. How high will the ball go? (Round your answer to two decimal places.)
Answers
Making handcrafted pottery generally takes two major steps: wheel throwing and firing. The time of wheel throwing and the time of firing are normally distributed random variables with means of 40 minutes and 60 minutes and standard deviations of 2 minutes and 3 minutes, respectively. Assume the time of wheel throwing and time of firing are independent random variables.
A) What is the probability that a piece of pottery will befinished within 95 minutes?
B) What is the probability that it will take longer than 110minutes?
Answers
Answer:
a) 8.23% probability that a piece of pottery will be finished within 95 minutes
b) 0.28% probability that it will take longer than 110 minutes.
Step-by-step explanation:
Normal distribution:
When the distribution is normal, we use the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
Two variables:
Means [tex]\mu_{a}, \mu_{b}[/tex]
Standard deviations [tex]\sigma_{a}, \sigma_{b}[/tex]
Sum:
[tex]\mu = \mu_{a} + \mu_{b}[/tex]
[tex]\sigma = \sqrt{\sigma_{a}^{2} + \sigma_{b}^{2}}[/tex]
In this question:
[tex]\mu_{a} = 40, \mu_{b} = 60, \sigma_{a} = 2, \sigma_{b} = 3[/tex]
So
[tex]\mu = \mu_{a} + \mu_{b} = 40 + 60 = 100[/tex]
[tex]\sigma = \sqrt{\sigma_{a}^{2} + \sigma_{b}^{2}} = \sqrt{4 + 9} = 3.61[/tex]
A) What is the probability that a piece of pottery will befinished within 95 minutes?
This is the pvalue of Z when X = 95.
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{95 - 100}{3.61}[/tex]
[tex]Z = -1.39[/tex]
[tex]Z = -1.39[/tex] has a pvalue of 0.0823
8.23% probability that a piece of pottery will befinished within 95 minutes.
B) What is the probability that it will take longer than 110 minutes?
This is 1 subtracted by the pvalue of Z when X = 110.
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{110 - 100}{3.61}[/tex]
[tex]Z = 2.77[/tex]
[tex]Z = 2.77[/tex] has a pvalue of 0.9972
1 - 0.9972 = 0.0028
0.28% probability that it will take longer than 110 minutes.
A nursing student is planning his schedule for next quarter. He needs to take three courses and one must be statistics. For his other courses, he can choose one of two science classes and one of three social sciences classes. What is the probability that his social sciences class is not Economics?
Answers
Answer: 0.66
Step-by-step explanation:
He must choose 2 courses.
The options are:
one of two science classes
one of three social sciences classes.
For the first class selection we do not have any restriction, so that selection can be ignored.
Now, we can assume that one of the 3 social sciences is economics, so we have 2 classes that are not economics.
Then, the probability that he does not select economics (if the selections are at random) is equal to the number of classes that are not economics divided the total number of classes:
p = 2/3 = 0.66
Khaled has a model of his favorite car. The model is
1/8 the size of
the real car, which has a surface area of 34 square meters. What is the
surface area of Khaled's model? (Note: 1 m = 100 cm)
53.13 cm?
4250 cm2
0.531 cm2
42.50 cm2
Answers
Answer:
When we are dealing with area (2 dimensions) the decrease is (1/8) squared or 0.0156250
So 34 sq meters * 0.0156250 = 0.53125 sq meters
A square meter = 100*100 cm = 10,000 sq centimeters.
So .53125 sq meters times 10,000 = 5,312.5 sq centimeters
I double-checked my answer and it seems the answer is 5,312.5 sq cm.
I'm guessing whoever made this question, when they converted square meters to square centimeters, they divided by 100 instead of 10,000.
Step-by-step explanation:
A motorcycle traveling at a speed of 15 miles/hour comes to a complete stop in 2 seconds when the motorcyclist saw a tiny turtle crossing the road. What is the accel-eration of the motorcycle
Answers
answer:
0.25 miles/sec, i hope this helps
Step-by-step explanation:
What is the richest country per capita?
Answers
Answer:
The richest country per capita is QATAR.
Step-by-step explanation:
Qatar is by far the richest country in the world with a GNI per capita of $116799 to more than $20000 higher than any other nation.
Hope it helps you, okay.
Given the following data on the number of pints of ice cream sold at a local ice cream store for a 6 period time frame:
Period : 1, 2, 3, 4, 5, 6
Demand: 200, 245, 190, 270, 280, 300
Use a 2 period moving average to forecast the demand for period 7.
Answers
Answer:
Forecast demand for period 7 is 290.
Step-by-step explanation:
The given number of period = 6
Since it is given that in period 1, the demand is 200 and at period 6 the demand is 300. However, to find the forecast demand for period 7, just add the demand of period 1 and period 6, then divide by 2.
Here, the following is the calculation.
Forecast demand for period 7 = (280 + 300) / 2
= 290
Assume that a sample is used to estimate a population proportion p. Find the margin of error E that corresponds to the given statistics and confidence level. 95% confidence; nequals=2388, xequals=1672
Answers
Answer:
The margin of error is of 0.0184 = 1.84%.
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.
[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In which
z is the zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex].
The margin of error is:
[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
95% confidence level
So [tex]\alpha = 0.05[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.05}{2} = 0.975[/tex], so [tex]Z = 1.96[/tex].
In this question:
[tex]\pi = \frac{1672}{2388} = 0.7, n = 2388[/tex]
[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
[tex]M = 1.96\sqrt{\frac{0.7*0.3}{2388}}[/tex]
[tex]M = 0.0184[/tex]
The margin of error is of 0.0184 = 1.84%.
toilet rolls come in packs of 4 and 9
the 4 packed price $2.04
and the 9 packed is priced at $4.68
Answers
Answer: 2.04÷ 4= 0.51
4.68÷9= 0.52
4 pack is better value by 0.01
difference of squares gives which complex factors for the expression x^2+3
Answers
Answer:
[tex](x-i\sqrt{3})(x+i\sqrt{3})[/tex]
Step-by-step explanation:
Written as a difference of squares, the expression is ...
[tex]x^2 -(\sqrt{-3})^2=\boxed{(x-i\sqrt{3})(x+i\sqrt{3})}[/tex]
Answer:
(x+i[tex]\sqrt{3)[/tex](x-i[tex]\sqrt3[/tex])
Step-by-step explanation:
Find a tangent vector of unit length at the point with the given value of the parameter t. r(t) = 2 sin(t)i + 7 cos(t)j t = π/6
Answers
The tangent vector to r(t) at any t in the domain is
[tex]\mathbf T(t)=\dfrac{\mathrm d\mathbf r(t)}{\mathrm dt}=2\cos t\,\mathbf i-7\sin t\,\mathbf j[/tex]
At t = π/6, the tanget vector is
[tex]\mathbf T\left(\dfrac\pi6\right)=\sqrt3\,\mathbf i-\dfrac72\,\mathbf j[/tex]
To get the unit tangent, normalize this vector by dividing it by its magnitude:
[tex]\left\|\mathbf T\left(\dfrac\pi6\right)\right\|=\sqrt{(\sqrt3)^2+\left(-\dfrac72\right)^2}=\dfrac{\sqrt{61}}2[/tex]
So the unit tangent at the given point is
[tex]\dfrac{\mathbf T\left(\frac\pi6\right)}{\left\|\mathbf T\left(\frac\pi6\right)\right\|}=2\sqrt{\dfrac3{61}}\,\mathbf i-\dfrac7{\sqrt{61}}\,\mathbf j[/tex]
Applying derivatives, the tangent vector of unit length at the point given is:
[tex]r_{u}{\prime}(\frac{\pi}{6}) = \frac{2\sqrt{3}}{\sqrt{61}}i - \frac{7}{\sqrt{61}}j[/tex]
The vector function is:
[tex]r(t) = 2\sin{(t)}i + 7\cos{(t)}j[/tex]
The tangent vector is it's derivative, which is given by:
[tex]r^{\prime}(t) = 2\cos{(t)}i - 7\sin{(t)}j[/tex]
At point [tex]t = \frac{\pi}{6}[/tex], we have that:
[tex]r^{\prime}(\frac{\pi}{6}) = 2\cos{(\frac{\pi}{6})}i - 7\sin{(\frac{\pi}{6})}j[/tex]
[tex]r^{\prime}(\frac{\pi}{6}) = \frac{2\sqrt{3}}{2}i - \frac{7}{2}[/tex]
[tex]r^{\prime}(\frac{\pi}{6}) = \sqrt{3}i - \frac{7}{2}[/tex]
The norm of the vector is:
[tex]|r^{\prime}(\frac{\pi}{6})| = \sqrt{\sqrt{3}^2 + (-\frac{7}{2})^2}[/tex]
[tex]|r^{\prime}(\frac{\pi}{6})| = \sqrt{\frac{61}{4}}[/tex]
[tex]|r^{\prime}(\frac{\pi}{6})| = \frac{\sqrt{61}}{2}[/tex]
The unit vector is given by each component divided by the norm, thus:
[tex]r_{u}{\prime}(\frac{\pi}{6}) = \frac{\sqrt{3}}{\frac{\sqrt{61}}{2}}i - \frac{7}{2\frac{\sqrt{61}}{2}}j[/tex]
[tex]r_{u}{\prime}(\frac{\pi}{6}) = \frac{2\sqrt{3}}{\sqrt{61}}i - \frac{7}{\sqrt{61}}j[/tex]
A similar problem is given at https://brainly.com/question/20733439
What is the area , rounded to nearest hundredth?
Answers
Answer:
57
Step-by-step explanation:
Area of rectangle:
4 x 12
=48
Area of left triangle:
2 x 3 / 2
=3
Area of right triangle:
6 x 2 / 2
=6
Total Area:
48 + 3 + 6 = 57
Answer: 100
Step-by-step explanation: 4 * 12 = 48 6 * 2 / 0.5 = 24 3 * 2 / 0.5 = 12
48+24+12=84 84 to the nearest hundred is 100.
I NEED HELP PLEASE, THANKS! :)
Answers
Answer:
7/2
Step-by-step explanation:
notice that if you substitute x by five you get 0/0 wich a non-defined form
The trick is to simplify by x-5
(x²-3x-10)/(2x-10)You get using the Euclidien division : x²-3x-10 = (x-5) (x-2)so : (x-2)(x-5)/2*(x-5) = (x-2)/2 substitute x by 5 to get 7/2 [tex]\lim_{x\to \5} \frac{x^{2} -3x-10}{2x-10}[/tex] = 7/2Hey there! :)
Answer:
[tex]\lim_{x \to 5} = 7/2[/tex]
Step-by-step explanation:
We are given the equation:
[tex]\frac{x^{2}-3x-10 }{2x-10}[/tex]
Factor the numerator and denominator:
[tex]\frac{(x - 5)(x+2) }{2(x-5)}[/tex]
'x - 5' is on both the numerator and denominator, so it gets cancelled out and becomes a "hole".
This means that at x = 5, there is a hole. There is a limit at x ⇒ 5. Find the hole by plugging 5 into the simplified equation:
[tex]\frac{((5)+2) }{2}[/tex] = 7/2
Therefore:
[tex]\lim_{x \to 5} = 7/2[/tex]
pls help this is for my little friend thank you
Answers
Answer:
Hey there!
3/2 and 3/4 can be written as decimals that terminate.
Hope this helps :)
Answer:
C
Step-by-step explanation:
A terminating decimal is usually defined as a decimal number that contains a finite number of digits after the decimal point.
3/2=1.5
3/4= 0.75 (It ends after division)
the sum of the first 20 terms of an A.P is identical to the sum of the first 22 term.If the common difference is -2; find the first terms
Answers
Answer:
First term a = 41
Step-by-step explanation:
Arithmetic Progression:
Common differences d = -2
[tex]S_{n}=\frac{n}{2}(2a+[n-1]d)\\\\S_{20}=\frac{20}{2}(2a+19*[-2])\\\\[/tex]
= 10*(2a - 38)
= 10*2a - 10*38
=20a - 380
[tex]S_{22}=\frac{22}{2}(2a+21*[-2])\\\\[/tex]
= 11 (2a -42)
=11*2a - 11*42
= 22a - 462
[tex]S_{22}=S_{20}\\\\[/tex]
22a - 462 = 20a - 380
22a = 20a - 380 + 462
22a = 20a + 82
22a - 20a = 82
2a = 82
a = 82/2
a = 41
First term a = 41
___________is an expected error based only on the observations limited to a sample taken from a population
1. Sampling error
2. Survey error
3. Coverage error
Answers
━━━━━━━☆☆━━━━━━━
▹ Answer
1. Sampling error
▹ Step-by-Step Explanation
A sampling error is an error in statistics. This means that not the whole population is given a chance to be sampled, which results in this error.
Hope this helps!
- CloutAnswers ❁
Brainliest is greatly appreciated!
━━━━━━━☆☆━━━━━━━
The polynomial 24x3 − 54x2 + 44x − 99 is factored by grouping. 24x3 − 54x2 + 44x − 99 24x3 + 44x − 54x2 − 99 4x(____) − 9(____) What is the common factor that is missing from both sets of parentheses? 6x + 11 6x − 11 6x2 + 11 6x2 − 11
Answers
Answer: 6x² + 11
Step-by-step explanation:
24x³ - 54x² + 44x - 99
= 6x²(4x - 9) + 11(4x - 9)
= (6x² + 11) (4x - 9)
This can be rewritten as: 4x(6x² + 11) - 9(6x² + 11)
This is the answer to your problem.
The sum of an irrational number and a rational number is irrational. Sometimes True Always True Never True
Answers
Answer:
Always true
Step-by-step explanation:
Trust me
Answer:
true
Step-by-step explanation:
Simplify. n 6 • n 5 ÷ n 4 • n 3 ÷ n 2 • n
Answers
━━━━━━━☆☆━━━━━━━
▹ Answer
n⁸
▹ Step-by-Step Explanation
n⁶ * n⁵ ÷ n⁴ * n³ ÷ n² * n
n⁶ * n⁵ * n⁻⁴ * n³ ÷ n²
n⁶ ⁺ ⁵ ⁻ ⁴ ⁺ ³ ⁻ ²
n⁸
Hope this helps!
- CloutAnswers ❁
Brainliest is greatly appreciated!
━━━━━━━☆☆━━━━━━━
Answer:
2^9
Step-by-step explanation:
The other answer says n^8 I believe? Tried this and the answer ended up being n^9.
A ball is thrown vertically upward from the ground. Its distance in feet from the ground in t seconds is s equals negative 16 t squared plus 256 t. After how many seconds will the ball be 1008 feet from the ground?
Answers
Answer:
7 seconds
Step-by-step explanation:
Given the height equation of the motion;
s = -16t^2 + 256t
At s = 1008 ft
The equation becomes;
1008 = -16t^2 + 256t
16t^2 - 256t + 1008 = 0
Solving the quadratic equation for t;
Factorising, we have;
16(t-7)(t-9) = 0
t = 7 or t = 9
When the ball is going up it would reach the given height at time t = 7 seconds.
When it is coming down it would reach the given height at time t = 9 seconds.
Given rectangles ABCD and A'B'C'D, describe the transformation that takes place from ABCD to A'B'C'D'
Answers
Answer:
A 90° clockwise rotation about the origin and a translation of 7 units down.Step-by-step explanation:
First of all, we need to define the image and pre-image.
The pre-image is the rectangle ABCD, before the transformation. The image is the rectangle A'B'C'D', after the transformation.Second, let's write down the coordinates of each rectangle.
ABCD coordinates:
A(-6,5)
B(-1,5)
C(-1,1)
D(-6,1)
A'B'C'D' coordinates:
A'(5,-1)
B'(5,-6)
C'(1,-6)
D'(1,-1)
The first rule we need to apply is the 90° clockwise rotation which is
[tex](x,y) \implies (y,-x)[/tex]
Which gives us (5,6), (5,1), (1,1), (1,6).
Then, we use the 7 units-down rule
[tex](x,y) \implies (x,y-7)[/tex]
Which gives us (5,-1), (5,-6), (1,-6) and (1,-1).
Therefore, the right answer is the third choice.
Answer:
A 90° clockwise rotation about the origin and a translation of 7 units down.
in a town election, 5985 people voted. this is 63% of the town's population who are registered to vote. How many people are registered to vote?
Answers
Answer:
9500
Step-by-step explanation:
If r represents the number of registered voters, we are given that ...
5985 = 0.63·r
r = 5985/0.63 = 9500
9500 people are registered to vote.
How do you sum with 3 8/9+ 1 5/12
Answers
Answer (explanation):
Step 1: Make sure the bottom numbers (the denominators) are the same.
Step 2: Add the top numbers (the numerators), put that answer over the denominator.
Step 3: Simplify the fraction (if needed)
Which lines are parallel? Justify your answer.
A. Lines a and b are pa because their corresponding angles are congruent.
B. Lines a and b are parallel because their same side exterior angles are congruent.
C. Lines e and f are parallel because their corresponding angles are congruent.
D. Lines e and f are parallel because their same side exterior angles are supplementary.
Answers
Answer:
A. Lines a and b are pa because their corresponding angles are congruent.
Step-by-step explanation:
The corresponding angles are both 110 degrees.
The edge of a cube was found to be 15 cm with a possible error in measurement of 0.5 cm. Use differentials to estimate the maximum possible error, relative error, and percentage error in computing the volume of the cube and the surface area of the cube. (Round your answers to four decimal places.) (a) the volume of the cube maximum possible error cm3 relative error percentage error % (b) the surface area of the cube maximum possible error cm2 relative error percentage error
Answers
Answer: maximum error = 90cm^2
Relative error = 0.067
Percentage error = 6.7%
Step-by-step explanation:
Given:
Size of edge of the cube = 15cm
Margin of error = 0.5cm
Therefore:
We all know a cube has 6 equals sides
A (x) = 6x^2
Differentiate
dA/dx = 12x
When change in x ( dx ) is small like in the case above
dA/dx = 12
dA = 12 x dx
1. Maximum error
= 12 x 15 x 0.5
= 90cm^2
2. Relative error = Max error / surface area
= 90 / 6 x 15^2
= 0.067
3. Percentage error = relative error x 100
= 0.067 x 100
= 6.7%
Look at this expression, and complete the statement 3x+2(x+2)+4
Answers
the answer is 3y+2x+8
Which of the following illustrates the truth value of the following mathematical statements?
6 + 3 = 9, and 5.5 = 20
Answers
Answer: 6 + 3 = 9
Step-by-step explanation:
5.5 does not equal to 20
he data show the bug chirps per minute at different temperatures. Find the regression equation, letting the first variable be the independent (x) variable. Find the best predicted temperature for a time when a bug is chirping at the rate of 3000 chirps per minute. Use a significance level of 0.05. What is wrong with this predicted value?
Answers
Answer:
^Y= 26.72 + 0.0547Xi
^Y/[tex]_{X=3000}[/tex]= 190.82ºF
B. It is unrealistically high.
Step-by-step explanation:
Hello!
*Full text*
The data show the bug chirps per minute at different temperatures. Find the regression equation, letting the first variable be the independent (x) variable. Find the best predicted temperature for a time when a bug is chirping at the rate of 3000 chirps per minute. Use a significance level of .05. What is wrong with this predicted value?
Chirps in 1 min. 929 854 771 1004 1201 1027
Temperature (F) 81.3 77.3 64.8 80.3 92.2 80.9
What is the regression equation?
^y= _____ + _____
(Round the x-coefficient to four decimal places as needed. Round the constant to two decimals as needed)
What is the predicted value? ^y= _____ (Round to one decimal places as needed)
What is wrong with this predicted value?
A. The first variable should have been the dependent variable
B. It is unrealistically high.
C. It is only an approximation
D. Nothing is wrong with this value
To calculate the regression equation you have to estimate the slope and the y-intercept.
^Y= a + bX
Estimate of the slope:
[tex]b= \frac{sumXY-\frac{(sumX)(sumY)}{n} }{sumX^2-\frac{(sumX)^2}{n} }[/tex]
n= 6
∑X= 5786 ∑X²= 5691944 [tex]\frac{}{X}[/tex]= 964.33
∑Y= 476.80 ∑Y²= 38277.76 [tex]\frac{}{Y}[/tex]= 79.47
∑XY= 465940.4
[tex]b= \frac{465940.4-\frac{5786*476.80}{6} }{5691944-\frac{(5786)^2}{6} }= 0.0547[/tex]
Estimate of the Y-intercept:
[tex]a= \frac{}{Y} -b*\frac{}{X}[/tex]
[tex]a= 79.47 -0.0547*964.33= 26.696= 26.72[/tex]
The estimated regression equation is:
^Y= 26.72 + 0.0547Xi
^Y/[tex]_{X=3000}[/tex]= 26.72 + 0.0547*3000= 190.82ºF
At the rate of 3000 chirps per minute it is expected a temperature of 190.82ºF
As you can see it is unrealistic to think that the chirping rate of bugs will have any effect over the temperature. For what is known about bugs, they tend to be more active to higher temperatures.
Considering the value obtained, as it is incredible high, if this regression was correct, every time the chirping rate of bugs increases, the ambient temperature would rise to levels incompatible with life.
I hope this helps!
What is the solution to the following equation?
X/3 - 14 = -2
Answers
Answer:
x = 36
Step-by-step explanation:
x/3 - 14 = -2
x - 42 = -6
x = -6 + 42
x = 36
Hope this helps! :)
Answer:
x= 36
Step-by-step explanation:
X/3 - 14 = -2
Add 14 to each side
X/3 - 14+14 = -2+14
x/3 = 12
Multiply each side by 3
x/3 * 3 = 12*3
x = 36