In the quadrilateral below, angles DAB and BCD are the same size. What is the size of angle DAB? A D 226° 38° B
The size of angle DAB in the quadrilateral is 48°.
How to find the size of angle DAB?The sum of the interior angles of a quadrilateral is 360°. We can say:
\(\angle \text{A} +\angle\text{B} + \angle\text{C} + \angle\text{D} = 360^\circ\)
\(\angle \text{A} +38^\circ + \angle\text{C} + 226^\circ = 360^\circ\)
\(\angle \text{A} + \angle\text{C} + 264^\circ = 360^\circ\)
\(\angle \text{A} + \angle\text{C} = 360^\circ- 264^\circ\)
\(\angle \text{A} + \angle\text{C} = 96\)
Since angles DAB and BCD are the same size. This implies ∠A = ∠C. Thus:
\(\angle\text{A} + \angle\text{A} = 96\)
\(2\angle\text{A} = 96\)
\(\angle\text{A} = \dfrac{96}{2}\)
\(\angle\text{A} = 48^\circ\)
Therefore, the size of angle DAB is 48°.
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woman bought 1.8 kg of chicken and 1.6 kg of meat. The chicken cost N5.40 and the meat cost #6.40. If she had bought 2.4 kg of chicken and 2 kg of meat, how much would she have had to pay?
The amount the women would pay for 2.4 kg of chicken and 2 kg of meat in total is $15.2
What is the unit price?The meaning of unit price is a price quoted in terms of so much per agreed or standard unit of product or service
Given that, a woman bought 1.8 kg of chicken and 1.6 kg of meat. The chicken cost $5.40 and the meat cost $6.40,
We need to find, if she had bought 2.4 kg of chicken and 2 kg of meat, how much would she have had to pay,
To find the same, we will first find the unit price of each,
Unit price = total price / total quantity
Since, 1.8 kg of chicken costs $5.40,
Therefore, 1 kg will cost = 5.40 / 1.8 = $3
Similarly,
If 1.6 kg of meat costs $6.40,
Therefore, 1 kg will cost = 6.40 / 1.6 = $4
Now, to find the cost of 2.4 kg of chicken and 2 kg of meat, we will multiply the unit prices to the required quantities,
Therefore,
2.4 kg of chicken will cost = 2.4 x 3 = $7.2
2 kg of meat will cost = 2 x 4 = $8
In total, she had to pay = 8+7.2 = $15.2
Hence, the amount the women would pay for 2.4 kg of chicken and 2 kg of meat in total is $15.2
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Find x in the diagram below
The value of the angle x is 30 degrees
How to determine the valueTo determine the value of the variable x, we need to know the triangle sum theorem.
The triangle sum theorem is a theorem in mathematics stating that the sum total of the interior angles in a triangle is equivalent to 180 degrees.
We should also note that angle at right angle is 90 degrees
Then, we have the angles written as;
90 degrees
2x degrees
x degrees
Equate the angles , we have;
2x + x + 90 = 180
collect the like terms, we have;
2x + x = 180 - 90
add or subtract the like terms, we have;
3x = 90
divide by the coefficient
x = 30
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plssss helppppp !!?
Answer:
4 to 19
Step-by-step explanation:
it too easy for me
Please help and thank you
Daniella: Were you thinking of perpendicular lines?
Ori: It seems like you've got the basic idea, but your definition could be more precise.
Kaori: Yes! Well done. Here, have a cookie. You've earned it.
Ben is taking a typing class, and the following line graph represents the number of words per minute he was able to type each week. According to the graph, how many more words per mioute could Ben type in week four than in week 2?
A. 20
B. 15
C. 10
D. 5
a prime number that is between 48 and 58
Answer:
53 is prime. How are you in collage?
A prime number is a number that is only divisible by 1 and the number itself (examples include 3, 11, 19). The prime numbers between 40 and 60 are 41, 43, 47, 53, and 59.
Match the parametric equations with the graphs labeled I-VI. Give reasons for your choices (Do not use a graphing device) (a) x = t^4 -t + 1, y = t^2 (b) x = t^2 - 2t, y = Squareroot t (c) x = sin 2t, y = sin (t + sin 2t) (d) x = cos 5t, y = sin 2t (e) x = 1 + sin 4 t, y = t^2 + cos 3t (f) x = sin 2t/4 + t^2, y = cos 2t/4 + t^2
We must look at each equation's characteristics and relate them to the characteristics of the graphs in order to match the parametric equations with the labelled graphs I–VI.
(A) As t increases, the parabola shifts away from the y-axis and increases quickly. The y-axis is where the symmetry lies.
(b) The curve is a parabola that begins at the centre and expands upward.
(c) The curve has a sharp x-direction oscillation and a y-direction oscillation.
(d) The slope oscillates quickly in one direction (the x-axis), but more slowly in the other.
(e) The trajectory travels in the direction of positive y while oscillating in the x-direction.
(f) As the trajectory deviates from the center, it oscillates.
Therefore, the matching is:
(a) III
(b) I
(c) IV
(d) V
(e) II
(f) VI
This question is incomplete without a graph. Please see the graph to get a better understanding of question.
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Question 1 of 10
The mean of a distribution is 217, while the median is 217. Which of these
statements is likely to be true about the distribution?
A. It is not skewed.
B. It is negatively skewed.
C. It is positively skewed.
OD. It is not symmetrical.
SUBMIT
The mean of a distribution is 217, while the median is 217.The statements is likely to be true about the distribution is option D. It is not symmetrical.
The distribution is likely to be asymmetrical if the mean and median have different values. If the mean and median of a distribution are equal, it is likely that the distribution is symmetrical, which means it has equal tail sizes on both sides. However, if the mean and median are not equal, it indicates that the distribution is skewed.
A negatively skewed distribution means that the mean is less than the median, whereas a positively skewed distribution means that the mean is greater than the median.In this case, since the mean and median of the distribution are equal, it is likely to be symmetrical. Since none of the options say "symmetrical," option D, "It is not symmetrical," is the correct answer.
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Which is the graph of f(x) = 3^—x
Answer:
Answer is 3rd graph to the right
A computer and printer cost a total of $1101. The cost of the computer is two times the cost of the printer. Find the cost of each item.
Cost of computer:
Cost of printer:
Answer:
Cost of Computer: $734
Cost of Printer: $367
Step-by-step explanation:
These two equations can represent the costs; x = price of computer; y = price of printer.
x + y = 1101
2y = x
If you graph these, you get an intersection point of (734, 367). This means that the only place that both equations are fulfilled is on (734, 367).
Then you can check your work:
734+367=1101
367*2=734
1. In a fishing contest, the two largest bass weighed a total
of 22 pounds. The first-place bass weighed 8 pounds
more than the second-place bass. Find the weights of
the first-place and second-place bass.
Answer:
First place fish weights 15 pounds.
Second place fish weights 7 pounds.
Step-by-step explanation:
7+8=15
15+7=22
Hope this helped!
Joe has 5/6 cup of paint in a container. He uses 2/5 cup on a project then adds another 1/3 cup. How much paint does he have now?
Answer:
=23/30
Step-by-step explanation:
5/6-2/5
Multiply 5/6 by 5 and -2/5 by 6
25/30-12/30
25-12/30
=13/30
Then he adds another 1/3
=13/30+1/3
multiply 1/3 by ten
=13/10 + 10/30
=13+10/30
=23/30
5/6-2/5-1/3=23/30
Which work correctly uses properties of inequality to find the solution to –0.4x – 10 > 14?
–0.4x – 10 > 14
–0.4x > 4
x > –10
–0.4x – 10 > 14
–0.4x > 24
x > –60
–0.4x – 10 > 14
–0.4x > 4
x 14
–0.4x > 24
x < –60
Answer:
d
Step-by-step explanation:
–0.4x – 10 > 14
–0.4x > 24
x < –60
the correct solution to the inequality – 0.4x – 10 > 14 is x < – 60.
Inequality refers to a mathematical relationship between two values that are not equal.
The correct work that uses properties of inequality to find the solution to – 0.4 x – 10 > 14 is:
– 0.4 x – 10 > 14
Subtract 10 from both sides:
– 0.4 x > 24
Divide both sides by – 0.4 (note the change in inequality direction when dividing by a negative number):
x < – 60
Therefore, the correct solution to the inequality – 0.4x – 10 > 14 is x < – 60.
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Need ANSWER ASAP
Consider the following transformed function
y = −2 Sin [2( − 45°)] + 1
a) Graph the five key points of Parent function on the provided grid.
b) State the following for the transformed function
Amplitude=
period=
Horizontal Phase shift =
Equation of axis=
c) Graph at least two cycles of the transformed function by transforming the key points of the parent function. (Don’t forget to label the x-axis and y -axis)
Answer:
See explanation below.
Step-by-step explanation:
Given transformed function:
\(y=-2 \sin \left[2(x-45^{\circ})\right]+1\)
Part (a)The parent function of the given function is: y = sin(x)
The five key points for graphing the parent function are:
3 x-intercepts → (0°, 0) (180°, 0) (360°, 0)maximum point → (90°, 1)minimum point → (270°, -1)(See attachment 1)
Part (b)Standard form of a sine function:
\(\text{f}(x)=\text{A} \sin\left[\text{B}(x+\text{C})\right]+\text{D}\)
where:
A = amplitude (height from the mid-line to the peak)2π/B = period (horizontal distance between consecutive peaks)C = phase shift (horizontal shift - positive is to the left)D = vertical shift (axis of symmetry: y = D)Therefore, for the given transformed function:
\(y=-2 \sin \left[2(x-45^{\circ})\right]+1\)
Amplitude = -2Period = 2π/2 = πPhase shift = 45° to the rightEquation of axis of symmetry: y = 1Part (c)See attachment 2.
What is the monthly payment after PMI is dropped?
Answer:
The lender or servicer must automatically terminate PMI when your mortgage balance reaches 78 percent of the original purchase price — in other words, when your loan-to-value (LTV) ratio drops to 78 percent.
Loan application
A loan officer at a bank receives an application for a loan from a new customer. The customer claims to have a credit score above 700, but the officer is not sure whether to believe them. The officer knows that in the general population, about 20% of people have a credit score above 700. The officer has access to a credit bureau that can verify the customer's credit score with 95% accuracy, i.e., if a person has a credit score above 700, the credit bureau can give a correct report 95% of time, if a person has a credit score below 700, the credit bureau can give a correct report 95% of the time as well.
7. What is the probability that the customer actually has a credit score above 700, given that the credit bureau reports a score above 700? (round to three decimal places)
8. Show your work for the answer above.
The probability that the customer actually has a credit score above 700, given that the credit bureau reports a score above 700, is approximately 0.995. Bayes' theorem and the law of total probability were used to calculate the probability.
7. The probability that the customer actually has a credit score above 700, given that the credit bureau reports a score above 700, can be calculated using Bayes' theorem:
P(score > 700 | bureau reports score > 700) = P(bureau reports score > 700 | score > 700) * P(score > 700) / P(bureau reports score > 700)
We know that P(score > 700) = 0.20 and P(bureau reports score > 700 | score > 700) = 0.95. To find P(bureau reports score > 700), we can use the law of total probability:
P(bureau reports score > 700) = P(bureau reports score > 700 | score > 700) * P(score > 700) + P(bureau reports score > 700 | score <= 700) * P(score <= 700)
P(bureau reports score > 700) = 0.95 * 0.20 + 0.05 * 0.80
P(bureau reports score > 700) = 0.19
Now we can plug in the values:
P(score > 700 | bureau reports score > 700) = 0.95 * 0.20 / 0.19 ≈ 0.995
Therefore, the probability that the customer actually has a credit score above 700, given that the credit bureau reports a score above 700, is approximately 0.995.
8. P(score > 700 | bureau reports score > 700) = P(bureau reports score > 700 | score > 700) * P(score > 700) / P(bureau reports score > 700)
= 0.95 * 0.20 / (0.95 * 0.20 + 0.05 * 0.80)
= 0.995 (rounded to three decimal places)
We used Bayes' theorem to calculate the probability, and the law of total probability to find P(bureau reports score > 700).
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The perimeter of a square is 56. Express the length of a diagonal of the square in simplest radical form.?
The length of the diagonal of a square with a perimeter of 56 is 14√2.
What is a diagonal?A diagonal is the longest line that divides a plane shape into two equal parts.
To calculate the length of the diagonal of the square, first we need to find the length of the square using the perimeter formula.
Formula:
P = 4a............ Equation 1Where:
P = Perimeter of the squarea = Length of the squareFrom the question,
Given:
P = 56Substitute the value into equation 1 and solve for a
56 = 4aa = 56/4a = 14Finally to find the length of the diagonal of the square, we use the formula below
d = √(2a²)................... Equation 2Where:
d = Lenght of the diagonal of the squarea = Length of the square = 14Substitute into equation 2
d = √(2×14²)d = 14√2Hence, the length of the diagonal is 14√2.
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Answer:
qfewwqeffwqfefewqwqreg
Step-by-step explanation:
Caculate.
2 1/4÷(3/8÷1/2)
let's firstly convert the mixed fraction to improper fraction and proceed from there.
\(\stackrel{mixed}{2\frac{1}{4}}\implies \cfrac{2\cdot 4+1}{4}\implies \stackrel{improper}{\cfrac{9}{4}} \\\\[-0.35em] ~\dotfill\\\\ \cfrac{9}{4}\div \left(\cfrac{3}{8}\div \cfrac{1}{2} \right)\implies \cfrac{9}{4}\div \left(\cfrac{3}{8}\cdot \cfrac{2}{1} \right)\implies \cfrac{9}{4}\div \left(\cfrac{3}{4} \right) \\\\\\ \cfrac{9}{4}\cdot \left(\cfrac{4}{3} \right)\implies \cfrac{9}{3}\cdot \cfrac{4}{4}\implies 3\cdot 1\implies \text{\LARGE 3}\)
A special diet and exercise program has been developed for you by a registered dietitian and a personal trainer. You weigh 181 pounds and would like to lose 2 pounds every week. Complete the following table of values for your desired weight each week
Answer:
Week 0: 181
Week 1: 179
Week 2: 177
Week 3:175
Week 4:173
Step-by-step explanation:
Subtract 2 pounds each week.
181-2= 179. 179-2=177. 177-2: 175 and so on
Choose Always, Sometimes, or Never for each statement
Answer:
a)never b)always c)never d)sometimes.
Step-by-step explanation:
I’ll try to explain by giving examples for each:
a) let’s take n=-1 => 2*1/10= 2/10 =0,2 = > the number won’t be negative => answer:never.
b)let’s take q=-2 => (-2)*100000=-200000 => answer:always.
c)let’s take m=-2 => 6*1/100 = 6/100 =0,06; and 60^-2 = 1/60^2=1/360=0.02... => answer:never.
d)let’s take 1) p=1000; => 1000/1000=1. 2) p= 2 => less than 1. => answer:sometimes.
Simplify 1/2 and 1/6
A-1/3
B-12
C-3
D- 1/12
Answer:
3
explanation
1/2 ÷ 1/6 = 1/2 × reciprocal of 1/6 that 6/1
So, 1/2 × 6/1 = 3
When proving the product, quotient, or power rule of logarithms, various properties of logarithms and exponents must be used.
Which property listed below is used in all of these proofs?
When proving the properties of logarithms when exponents must be used, the property that is used in all of these is D. \(log_{b} (b^y) = y\)
What property is used in proving the properties of logarithms?When proving any property of logarithms that have to do with exponents, one property that should always be used is \(log_{b} (b^y) = y\).
Expressing y as a product of \(log_{b} (b^y)\) is the most basic property of using exponents on logs because it has both product, quotient, and power rules of logarithms.
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Help me please!
I don’t understand how I need to resolve the problems
Therefore , the solution of the given problem of probability comes out to be the likelihood of getting $1,000,000 is 24/280,594,825
What is probability exactly?The primary goal of a procedure's criteria-based methods is to determine the probability that a statement is true or that a specific occurrence will occur. Any number range from zero to one, where 0 is frequently used for indicating the potential something could happen and 1 is typically used to indicate a level of confidence, can be used to represent chance. The chance that a specific event will occur is displayed in a probability illustration.
Here,
(A) To win the jackpot, you must match the gold mega number with all 5 white digits.
There are 70 possible methods to select 5 white numbers.
=> C(70,5) = 11,238,513
Out of a possible 25, there are 25 options to select one gold meganumber.
=> C(25,1) = 25
The total amount of combinations for a single ticket is thus:
=> 11,238,513 x 25 = 280,594,825
=> 1/280,594,825
(b) You must match all five white numbers, excluding the gold mega number, in order to earn $1,000,000.
There are 70 possible methods to select 5 white numbers.
=> C(70,5) = 11,238,513
Out of a possible 25, there are 25 options to select one gold meganumber.
=> C(25,1) = 25
The total amount of combinations for a single ticket is thus:
=> 1,238,513 x 25 = 280,594,825
=> C(5,5) x C(24,1) = 24
Consequently, the likelihood of getting $1,000,000 is:
=> 24/280,594,825
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how many ft is equal to 1.66m
Answer:
5.44 meters
Step-by-step explanation:
We Know
0.3048 meter = 1 ft
How many ft makes a height of 1.66m?
We Take
1.66 ÷ 0.3048 ≈ 5.44 meters
So, the answer is 5.44 meters.
In a random sample of 850 high school students in large metropolitan areas, 768 said they had access to the internet during school hours. In an independent random sample of 355 high school students in rural communities, 308 said they had access to the internet during school hours. What is the p-value for a significance test to determine if these data provide evidence that the proportion of high school students in metropolitan areas who have internet access during school hours is different than the proportion of rural high school students who have internet access during school hours?
Answer:
Since the calculated value of z= 1.869 does not fall in the critical region we accept the null hypothesis H0: p1≠ p2 the data provides evidence that the proportion of high school students in metropolitan areas who have internet access during school hours is different than the proportion of rural high school students who have internet access during school hours.
Step-by-step explanation:
Let p1= proportion of the high school students having internet access
p2= proportion of the rural school students having internet access
1) The null and alternate hypothesis are
H0: p1≠ p2 against the claim Ha: p1= p2
2) We choose significance level ∝ =0.05
3) The test statistic under H0 is
z= p1^- p2^/√ p^q^( 1/n1 + 1/n2)
Now
p1^= 768/850= 0.9035
p2^= 308/355= 0.8670
p^= 768+ 308/850+ 355= 1076/1205
p^= 0.8929
q^= 1-p^= 0.1070
Putting the values
z= p1^- p2^/ √p^q^( 1/n1 + 1/n2)
Z= 0.9035-0.8670/sqrt [0.8929*0.1070( 1/850 + 1/355)]
z= 0.0365/ sqrt [ 0.0955403 (0.001176 + 0.002816)]
z= 0.0365/ 0.019531
z= 1.8688
The critical region is z∝/2 = ± 1.96
The value of z is 1.8666. The value of p is 0.06148 which is greater than 0.05
Conclusion:
Since the calculated value of z= 1.869 does not fall in the critical region we accept the null hypothesis H0: p1≠ p2 the data provides evidence that the proportion of high school students in metropolitan areas who have internet access during school hours is different than the proportion of rural high school students who have internet access during school hours.
Jenny’s home appraised for 550,000. Her asking price was 560,000 and the properties sold for 575,000. What were the new owners pay in property taxes?
Answer:
575,000
Step-by-step explanation:
The new owners pay 15000 in property taxes.
Tax rate = (Tax amount/Price before tax) × 100%
How are taxes calculated on homes?⇒ Jenny's house appraised price = 550000.
⇒The asking price was 56000.
The selling price of the property =575000
the extra amount must be paid as a tax = 575000-56000
∴ tax amouny = 15000.
The standard formula
Property tax = base value × built-up area × Age factor × type of building × category of use × floor factor.
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Find the distance between (7,15) and (1,7).
In order to find the distance between two points we will use the next formula
\(d=\sqrt[]{\mleft(x_2-x_1\mright)^{2}+\mleft(y_2-y_1_{}\mright)^{2}}\)where
(7,15)=(x1,y1)
(1,7)=(x2,y2)
we substitute the values
\(d=\sqrt[]{(1-7)^2+(7-15)^2}\)\(d=\sqrt[]{6^2+8^2}=\sqrt[]{100}=10\)The distance between (7,15) and (1,7) is 10
What is the vertical displacement of the basic graph to produce a graph of
OA Sunits down
B. 2 units down
OC units down
OD
units up
SUBMIT
The vertical displacement is of 2 units down, the correct option is B.
What is the vertical displacement?Remember that for a function f(x), a vertical displacement of N units is written in general form as:
g(x) = f(x) + N
If N > 0, the translation is upwards.
if N < 0, the translation is downwards.
Here we assume that we start with the parent cosine function:
y = cos(x)
And the transformed function is:
y = -2 - cos(x - π)
So we have some transformations, but the vertical translation is of 2 units down. So the correct option is B.
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I was getting help and got kicked off
Answer:
I'm not so sure but i think it's 9
Step-by-step explanation: