Answer:
57 deg
Step-by-step explanation:
Rhombus ABCD has diagonals AC and BD which intersect at point E.
The diagonals of a rhombus divide the rhombus into 4 congruent triangles.
If you find the measures of the angles of one of the triangles, then you know the measures of the angles of all 4 triangles.
Also, the diagonals of a rhombus are perpendicular.
Look at triangle BCE.
m<BCE = 33
m<BEC = 90
m<BCE + m<BEC + m<CBE = 180
33 + 90 + m<CBE = 180
m<CBE = 57
<ABE in triangle ABE corresponds to <CBE in triangle BCE.
m<ABE = m<CBE = 57
Answer: 57 deg
Help plzzzzzz it says 5/2 is wrong and I’ve tried 2/5 too both are wrong
Answer:
2.5 or 2 1/2
Step-by-step explanation:
a particular 1212-hour digital clock displays the hour and minute of a day. unfortunately, whenever it is supposed to display a 11, it mistakenly displays a 99. for example, when it is 1:161:16 \text{pm}pm the clock incorrectly shows 9:969:96 \text{pm}.pm. what fraction of the day will the clock show the correct time?
The fraction of the day will the clock show the correct time is 1/2.
What is termed as the fraction?Fractions represent parts of a whole or group of objects. A fraction is made up of two parts. The number at the top of a line is referred to as the numerator. It specifies the number of equal parts of a whole as well as collection that are taken. The denominator is the number underneath the line.For the given question;
A required fraction is indeed the number of correct answers divided by the total number of attempts.
There are 720 total times by the digital clock because there are 60 minutes in such an hour and 12 hours on a clock.
We directly count the correct times; let x:yz be a correct time, where x is a total from 1 to 12 as well as y and z have been digits, where y<6.
The following x values will display the right time: 2, 3, 4, 5, 6, 7, 8, and 9.
The following values will display the right time: 0, 2, 3, 4, and 5.
The following z values will display the right time: 0, 2, 3, 4, 5, 6, 7, 8, and 9.
The correct times are-
= 8×5×9
= 360
The fraction needed is-
= 360 /720
= 1/2
Thus, the fraction of the day will the clock show the correct time is 1/2.
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what is the density of 2.4kg of muscle that occupies 30cm^3 of space?
The density of 2.4kg of muscle that occupies 30cm^3 of space is approximately 80g/cm^3.
The density of an object can be calculated using the formula: density = mass/volume. In this case, the mass of the muscle is 2.4 kg and the volume it occupies is 30 cm³. To find the density, simply divide the mass by the volume:
Density = (2.4 kg) / (30 cm³)
Density ≈ 0.08 kg/cm³
So, the density of the 2.4 kg muscle occupying 30 cm³ of space is approximately 0.08 kg/cm³. The density of an object can be calculated using the formula: density = mass/volume. The density of 2.4kg of muscle that occupies 30cm^3 of space is approximately 80g/cm^3.
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The moon forms a right triangle with the Earth and the Sun during one of its phases, as shown below:
A right angle triangle is shown with the Earth at the right angle. The acute angle between the line joining the Earth and the m
A scientist measures the angle x and the distance y between the Earth and the Sun. Using complete sentences, explain how the scientist can use only these two measurements to calculate the distance between the moon and the Sun.
(It is an answer you have to type)
Answer:
distance between moon and sun= y/sin x
Step-by-step explanation:
by use of trigonometric ratios SOHCAHTOA
dat stuff only works on right angled triangles so that is what gave it away
you will use
Sin x= y/distance between moon and Sun
distance between moon and sun= y/sin x
based on my the sketch in my mind hope am right
6. The difference of two numbers is eight. The smaller number is three more than half the larger. What are the two numbers?
Answer:
22 and 14
Step-by-step explanation:
22 divided by 2 is 11
11 plus 3 is 14
22 minus 14 is 8
Write the ratios as fractions IN THEIR SIMPLEST form
44 boys to 88 girls
Answer:
2:4
Step-by-step explanation:
The black part of each graph represents the solution.
Answer:
x≤ -2
Step-by-step explanation:
we want black part, so we know it's going to be to the left of -2.
the black dot at -2 means we include -2. if it was just an unfilled dot (circle) we exclude -2 (ie it would just be ( < -2)
so answer is x≤ -2
In a population of 200 mice brown fur is dominant to gray fur. of 120 of the 200 mice have brown fur, what is the frequenzy?
The frequency of mice that are heterozygote is 0.3492
It is required to find the frequency.
What is frequency?The number of waves that pass a fixed point in unit time being, measured in hertz(Hz).The number of cycles or vibrations undergone during one unit of time by a body in periodic motion.
Given:
Population =200 mice
Gray fur mice= 120 mice
By the use of Hardy-Weinberg equation we have,
Hardy-Weinberg equation is given by
p² + 2pq + q² = 1 and p + q = 1
where, 2pq is the heterozygote frequency.
p² = 120/200
p = 0.7746
p + q = 1
q = 0.2254
Heterozygote frequency = 2pq = 2(0.2254)(0.7746) = 0.3492
Therefore, the frequency of mice that are heterozygote is 0.3492.
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A survey was given to a random sample of 1350 residents of a town to determine whether they support a new plan to raise taxes in order to increase education spending. Of those surveyed, 64% of the people said they were in favor of the plan. At the 95% confidence level, what is the margin of error for this survey expressed as a percentage to the nearest tenth?
The margin of error for the survey, rounded to the nearest tenth, is approximately 4.0% when expressed as a percentage.
To determine the margin of error for a survey at the 95% confidence level, we need to calculate the standard error. The margin of error represents the range within which the true population proportion is likely to fall.
The formula for calculating the standard error is:
Standard Error = sqrt((p * (1 - p)) / n)
where p is the sample proportion and n is the sample size.
In this case, the sample proportion is 64% (or 0.64) since 64% of the 1350 surveyed residents support the plan.
Plugging in the values:
Standard Error = \(\sqrt{(0.64 * (1 - 0.64)) / 1350)}\)
\(= \sqrt{(0.2304 / 1350)} \\= \sqrt{(0.0001707)}\)
≈ 0.0131
Now, to find the margin of error, we multiply the standard error by the appropriate critical value for a 95% confidence level. The critical value corresponds to the z-score, which is approximately 1.96 for a 95% confidence level.
Margin of Error = z * Standard Error
= 1.96 * 0.0131
≈ 0.0257
Finally, to express the margin of error as a percentage, we divide it by the sample proportion and multiply by 100:
Margin of Error as Percentage = (Margin of Error / Sample Proportion) * 100
= (0.0257 / 0.64) * 100
≈ 4.0%
Therefore, the margin of error for this survey, expressed as a percentage to the nearest tenth, is approximately 4.0%.
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Use the Distributive Property to evaluate the expression.
5(3 + 0.4)
OA 8.4
OB 17
C 13.4
OD 15.4
Hello there! :)
The Distributive property states:
a(b+c)=ab+ac
So, we know what a is. It's 5.
b=3
c=0.4
5(3+0.4)
5*3+5*0.4
15+0.2
15.2
Hope it helps!
\(GraceRosalia\)
Determine the set of points at which the function is continuous.
F(x, y) = arctan(x + √x)
Part 1 of 3
The given function F(x, y) = arctan(x + y) can be thought of as a composition g(f(x, y)).
The function f(x, y) = x + √y is continuous on its domain {(x, y)ly ≥ 0
y≥ 0 }.
Part 2 of 3
The function g(t) = arctan t is continuous on the interval ([infinity])
Part 3 of 3
Therefore F(x, y) = arctan(x + √y) is continuous on the following set of points.
D = {(x, y) | YEL
The set of points at which the function F(x, y) = arctan(x + √x) is continuous is given by D = {(x, y) | x ≥ 0, y ≥ 0}.
To determine the set of points where the function F(x, y) = arctan(x + √x) is continuous, we analyze the continuity of its component functions.
Part 1:
The function f(x, y) = x + √y is continuous on its domain {(x, y) | y ≥ 0}. This means that as long as y is greater than or equal to 0, the function f(x, y) is continuous.
Part 2:
The function g(t) = arctan(t) is continuous on the interval (-∞, +∞). This indicates that g(f(x, y)) remains continuous as long as the input function f(x, y) is continuous.
Part 3:
Combining the continuity of f(x, y) and g(t), we can conclude that F(x, y) = arctan(x + √y) is continuous on the set of points where x ≥ 0 and y ≥ 0. This restriction ensures that both f(x, y) and g(t) are defined and continuous within their respective domains.
Therefore, the set of points at which the function F(x, y) = arctan(x + √x) is continuous is given by D = {(x, y) | x ≥ 0, y ≥ 0}.
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The distribution of mass for United States pennies minted since 1982 is approximately normal with mean 2.5 grams. A random sample of 10 pennies minted since 1982 was selected. The sample had a mean mass of 2.47 grams and a standard deviation of 0.04 gram. The test statistic for the population mean has which of the following distributions? (A) A normal distribution with mean 0 and standard deviation 1 (B) A normal distribution with mean 2.5 and standard deviation 0.04 (C) A normal distribution with mean 2.47 and standard deviation 0.04 (D) At-distribution with 9 degrees of freedom E At-distribution with 10 degrees of freedom
The test statistic for the population mean has a t-distribution with 9 degrees of freedom. Correct option is D.
The test statistic for the population mean in this scenario is a t-distribution with 9 degrees of freedom (option D).
To determine the test statistic, we need to use the formula:
t = (x' - μ) / (s / √n)
where x' is the sample mean, μ is the hypothesized population mean, s is the sample standard deviation, and n is the sample size.
In this case, the hypothesized population mean is 2.5 grams, the sample mean is 2.47 grams, the sample standard deviation is 0.04 gram, and the sample size is 10.
Plugging these values into the formula, we get:
t = (2.47 - 2.5) / (0.04 / √10) ≈ -1.58
Since the sample size is less than 30, we use a t-distribution instead of a standard normal distribution. The degrees of freedom for the t-distribution is equal to n - 1, which in this case is 10 - 1 = 9.
We can use this distribution to calculate the p-value and make inferences about the population mean based on the sample data. Therefore, the correct option is D.
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pleaseeee helppppp :(
a commercial pilot must hold at least a second-class medical certificate. this certificate will expire for that operation how many months after the date of examination shown on the certificate?
Answer:
It will expire after 12 months
Step-by-step explanation:
A bank account has a beginning balance of $460.00. After 6 months, the balance in the account has increased to
$465.75. What interest rate is being earned annually on this account?
****************DISCLAIMER****************
might not be right, im pretty sure tho
Answer:
the annual interest return rate is .025 i believe.
Step-by-step explanation:
after 6 months the money increased by 5.75 bucks.
the 6 month return rate was .0175, so double that to get the annual rate.
I drove 10 miles north 14 miles east 16 miles north 2 miles east 4 miles north how far am I
The total distance from the starting point is 42 miles.
What is distance?Distance is a numerical measurement of how far apart two objects or points are located. It can be measured in various units, such as miles, kilometers, or light years. The concept of distance is important in physics, mathematics, and geometry. It is used in a wide range of everyday applications, from measuring the length of a running track to determining the distance from Earth to the Moon. Distance helps us understand how things are related and connected to each other in space. It can also be used to calculate the speed of an object or the time it takes to travel between two points.
To calculate this, one can use the Pythagorean theorem to solve for the hypotenuse of the right triangle created by the distances traveled. The hypotenuse of the triangle is the total distance traveled, and can be calculated by taking the square root of the sum of the squares of the other two sides. The other two sides are the 10 miles north and the 16 miles east, so the total distance traveled can be calculated by taking the square root of (10^2 + 16^2). The answer is 42 miles.
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Complete questions as follows-
I drove 10 miles north 14 miles east 16 miles north 2 miles east 4 miles north how far am I from my starting point?
Find the general indefinite integral. (use c for the constant of integration.) 8 x9 dx
\($$\begin{aligned}&\text { (1) } \int \sqrt[8]{x^9} d x=\int x^{9 / 8} \cdot d x=\frac{(x)^{\frac{9}{8}+1}}{\frac{9}{8}+1}+c=\frac{8 x^{17 / 8}}{17}+c\\\\&\Rightarrow \int \sqrt[8]{x^9} d x=\frac{8}{17} \sqrt[8]{x^{17}}+c,(c \text { is constant })\\\)
What is indefinite integral?In the previous two chapters, we were given a function and asked to determine its derivative. We are now going to reverse the situation, beginning with this part. We now want to know what function we discriminated in order to obtain the function. This previous example has two implications. The initial goal was to encourage you to start considering solutions to these difficulties. First, it's crucial to keep in mind that we are only asking what we differentiated to obtain the specified function. The second thing to keep in mind is that we could potentially employ an endless number of different functions, and they would all be different by a constant.
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Which of the relations has a domain of {-5, 0, 5}?
A. {(-5, 5), (0, 5), (5,5)}
B. {(0, -5), (0, 0), (0, 5)}
C. {(-5, 0), (0, 5), (1, 0)}
Answer:
B
Step-by-step explanation:
its that how you would look like if you were anime sorry was looking at your pf. have a nice day
6 times 67.............................................................................................................
Answer:
402
Step-by-step explanation:
if it is 2:50 pm what time would it be and a half and hour
6th grade work please help
Answer:
Same
Step-by-step explanation:
it's that the question interesting anaways
Answer: same
you have to name the transformation i guess
Step-by-step explanation:
Every point moves the same distance in the same direction on a coordinate plane.
Translation mean Reflection, Rotation, and Dilation
A donkey eats three fifths of a hay bale a week.
How many bales does he eat in 10 weeks?
Answer:
Step-by-step explanation:
the donkey eats 3/5 of hay bale a week
3/5 x 2 = 6
the donkey eats 6 hay bales in 10 weeks
The amount of bales the donkey eats in 10 weeks is 6 bales.
Given,
A donkey eats three-fifths of a hay bale a week.
We need to find out how many bales he eats in 10 weeks.
How do we compare two quantities?Example:
2 miles in 1 hour
2 miles = 1 hour
To find miles in 4 hours we multiply both sides by 4.
4 x 2 miles = 4 x 1 hour
8 miles = 4 hours
We have,
Donkey eats:
3/5 bales = 1 week ____(1)
In 10 weeks:
Multiply 10 on both sides of (1)
10 x 3/5 bales = 10 x 1 week
6 bales = 10 weeks
Thus the amount of bales the donkey eats in 10 weeks is 6 bales.
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Havent been taught it and if we were actually taught it i wasnt listening
Answer:
44 is the total area
Step-by-step explanation:
6 x 4 = 24 This is the box area
11 - 6 = 5
5 x 4 = 20 This is the triangle area
Add these together
24 + 20 = 44
Hope this Helps
Have a wonderful day
Listen next time!!!!!!!!
i need help with this question i really dont know how to do it
A pet store has seven puppies, including four poodles, two terriers, and one retriever. Suppose Rebecka and Aaron, in that order, each select one puppy at random without replacement (Rebecka and Aaron cannot select the same puppy). Find the probability that Aaron selects a terrier, given Rebecka selects a poodle.
The probability that Aaron selects a terrier, given Rebecka selects a poodle, is 1/3.
To find the probability that Aaron selects a terrier, given Rebecka selects a poodle, we need to use conditional probability.
First, we need to find the probability that Rebecka selects a poodle. Since there are four poodles out of seven puppies total, the probability that Rebecka selects a poodle is 4/7.
Next, we need to find the probability that Aaron selects a terrier, given that Rebecka has already selected a poodle. Now there are only three poodles and two terriers left in the store, so the probability that Aaron selects a terrier is 2/6 (or simplified, 1/3).
Putting it all together, we can use the formula for conditional probability:
P(Aaron selects a terrier | Rebecka selects a poodle) = P(Aaron selects a terrier and Rebecka selects a poodle) / P(Rebecka selects a poodle)
Since we know that Rebecka selects a poodle, the numerator is just the probability that Aaron selects a terrier given that there are three puppies left in the store. So:
P(Aaron selects a terrier and Rebecka selects a poodle) = (1/3) * (4/7) = 4/21
And we already calculated that P(Rebecka selects a poodle) = 4/7. So:
P(Aaron selects a terrier | Rebecka selects a poodle) = (4/21) / (4/7) = 1/3
Therefore, the probability that Aaron selects a terrier, given Rebecka selects a poodle, is 1/3.
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If $12,000 is invested in an account for 30 years. Calculate the totol interest earned at the end of 30 years if the interest is: (a) 5% simple interest: $ (b) 5% compounded annually: 5 (c) 5% compounded quarterly: $ (d) 5% compounded monthly: 5 Round your answers to the nearest cent.
The total interest earned at the end of 30 years would be:
(a) $18,000
(b) $9,879.44
(c) $10,297.38
(d) $10,777.39
To calculate the total interest earned at the end of 30 years for each type of interest, we can use the formula:
(a) Simple interest:
Total Interest = Principal * Rate * Time
Total Interest = $12,000 * 0.05 * 30
Total Interest = $18,000
(b) Compounded annually:
Total Interest = Principal * (1 + Rate)^Time - Principal
Total Interest = $12,000 * (1 + 0.05)^30 - $12,000
Total Interest = $12,000 * 1.823287 - $12,000
Total Interest = $21,879.44 - $12,000
Total Interest = $9,879.44
(c) Compounded quarterly:
Total Interest = Principal * (1 + (Rate/4))^ (Time * 4) - Principal
Total Interest = $12,000 * (1 + (0.05/4))^(30 * 4) - $12,000
Total Interest = $12,000 * (1 + 0.0125)^(120) - $12,000
Total Interest = $12,000 * 1.858115 - $12,000
Total Interest = $22,297.38 - $12,000
Total Interest = $10,297.38
(d) Compounded monthly:
Total Interest = Principal * (1 + (Rate/12))^ (Time * 12) - Principal
Total Interest = $12,000 * (1 + (0.05/12))^(30 * 12) - $12,000
Total Interest = $12,000 * (1 + 0.0041667)^(360) - $12,000
Total Interest = $12,000 * 1.898116 - $12,000
Total Interest = $22,777.39 - $12,000
Total Interest = $10,777.39
So, the total interest earned at the end of 30 years would be:
(a) $18,000
(b) $9,879.44
(c) $10,297.38
(d) $10,777.39
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A relationship between x and y is defined by the equation y = -4/3x + 1/3, where x is the input and y is the output.
Answer:
output value when x = 3 is -13/3
Step-by-step explanation:
Given the equation that describe the relationship between x and y expressed as y = -4/3x + 1/3
Let us find the output value y if x = 3
Substitute
y = -4/3(3) + 1/3
y = --4 * 1 + 1/3
y = -4 + 1/3
y = -4 1/3
y = -13/3
Hence the output value when x = 3 is -13/3
how do you do 4+1346=? 600x787 and 675dividedby700=
Answer:
How do you do 4+1346=? AnswerL 1350
600x787 and 675dividedby700= 472200 :D
Step-by-step explanation:
Answer:
4+1346=1350 ... 600x787=472200
675÷700=0.96
Which of the following statements are true? Check all of the boxes that apply.
Answer: A and C are true.
A) \(f\left(x\right)=2\sqrt{x}\ \ and\ \ f\left(x\right)=\sqrt{x}\) both has domain and range = [0, ∞). So A is true.
B) \(f\left(x\right)=-2\sqrt{x}\) has range = (-∞, 0] and \(\ f\left(x\right)=\sqrt{x}\) has range = [0, ∞). So B is false.
C) Both \(\ f\left(x\right)=-\sqrt{x}\ and\ \ f\left(x\right)=\sqrt{x}\) has domain = [0, ∞).
Range of \(\ f\left(x\right)=\sqrt{x}\) is = [0, ∞).
Range of \(f\left(x\right)=-\sqrt{x}\) is = (-∞, 0]
So range are different. C is true.
D) Both \(f\left(x\right)=\frac{1}{2}\sqrt{x}\ and\ \ f\left(x\right)=\sqrt{x}\) has range = [0, ∞).
So D is false.
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Answer: A and C
Step-by-step explanation:
a survey asked 215 people what alternative transportation modes they use. the results are below. 144 walk 102 use the bus 105 ride a bicycle 78 walk and use the bus 65 walk and ride a bicycle 45 ride the bus and ride a bicycle 34 said they use all three modes of transportation. how many people don't use any alternate transportation
The number of people who don't use any alternative transportation mode is 18 people.
To find the number of people who don't use any alternative transportation mode we can use the principle of inclusion and exclusion (PIE) method.
adding the number of people who use each mode:
walk = 144
bus = 102
bicycle = 105
Next, subtract the number of people who use two modes:
walk and bus = 78
walk and bicycle = 65
bus and bicycle 45
adding people who use all three modes:
all three modes of transportation = 34
Therefore, the total number of people who use at least one alternative mode of transportation is:
= 144 + 102 + 105 - 78 - 65 - 45 + 34
= 197
To find the number of people who don't use any alternative transportation. we need to subtract the number of people who use at least one alternative mode of transportation from the total number of people in the survey:
= 215 - 197
= 18
Therefore, The number of people who don't use any alternative transportation mode is 18.
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