Answer:
b
Step-by-step explanation:
The sides must be true DF < QS
What are congruent triangles?Two triangles are said to be congruent if their corresponding sides and angles are equal.
ΔSQR and ΔFDE
QR = DE and SR = FE
∠SQR =62°, ∠DEF =50°
QR ≅ DE and SR ≅ FE
∵ ∠DEF > ∠SQR
So, side DF < QS
Hence, DF < QS
Learn more about of congruent triangles
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please help me, i will give you brainliest
Answer:
3rd
Step-by-step explanation:
i got it right on khan academy
Find the measures of the angles in the figure.
Answer:
[tex]120^o,\,120^o,\,60^o,\,\,\,and\,\,\,60^o[/tex]
which agrees with the first answer in the list of possible options.
Step-by-step explanation:
We can use the fact that the addition of all four internal angles of a quadrilateral must render [tex]360^o[/tex]. Then we can create the following equation and solve for the unknown "h":
[tex]2h+2h+h+h = 360^o\\6h=360^o\\h=60^o[/tex]
Therefore the angles of this quadrilateral are:
[tex]120^o,\,120^o,\,60^o,\,\,\,and\,\,\,60^o[/tex]
Answer:60,60,120,120
Step-by-step explanation:All qualdrilaterals equal to 360, so if you add all of the different numbers you should get 360
Explain the relationship between variance and standard deviation. Can either of these measures be negative? Explain. Choose the correct answer below. A. The variance is the positive square root of the standard deviation. The standard deviation and variance can never be negative. Squared deviations can never be negative. B. The standard deviation is the positive square root of the variance. The standard deviation and variance can never be negative. Squared deviations can never be negative. C. The variance is the negative square root of the standard deviation. The variance can be negative but the standard deviation can never be negative. D. The standard deviation is the negative square root of the variance. The standard deviation can be negative but the variance can never be negative.
Answer:
A. The variance is the positive square root of the standard deviation. The standard deviation and variance can never be negative. Squared deviations can never be negative.
Step-by-step explanation:
As we know that
The standard deviation is the square root of the variance and on the other side the variance is the square of the standard deviation
In mathematically
[tex]\sigma = \sqrt{variance}[/tex]
And,
[tex]variance = \sigma^2[/tex]
Moreover, the standard deviation and the variance could never by negative neither the squared deviation is negative. All three are always positive
Hence, the correct option is a.
Answer:
B. The standard deviation is the positive square root of the variance. The standard deviation and variance can never be negative. Squared deviations can never be negative.
The area of each square below is 1 square unit. How can we calculate the area of the striped region? A: 7/5 x 1/2 B: 6/12 x 2/10 C: 7/5 x 2/10
Answer:
wrong thing
Step-by-step explanation:
13 arent shaded of the 20 units
7/20 are shaded, 7X1=7, 2X5=10
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. Round the margin of error to four decimal places. 95% confidence; n = 349, x = 42
Answer:
0.5705Step-by-step explanation:
Margin of error is expressed as M.E = [tex]z * \sqrt{\frac{\sigma}{n} }[/tex] where;
z is the z score at 95% confidence
[tex]\sigma[/tex] is the standard deviation
n is the sample size
Given n = 349, [tex]\sigma = 42[/tex] and z score at 95% confidence = 1.645
Substituting this values into the formula above we will have;
M.E = [tex]1.645*\sqrt{\frac{42}{349} }[/tex]
[tex]M.E = 1.645*\sqrt{0.1203} \\\\M.E = 1.645*0.3468\\\\M.E = 0.5705 (to\ four\ dp)[/tex]
Simplify and leave in radical form.
Answer:
[tex]\sqrt[4]{xy^3}[/tex].
Step-by-step explanation:
[tex]\sqrt[8]{x^2y^6}[/tex]
= [tex]x^{\frac{2}{8} } y^{\frac{6}{8}}[/tex]
= [tex]x^{\frac{1}{4} } y^{\frac{3}{4}}[/tex]
= [tex]\sqrt[4]{xy^3}[/tex].
Hope this helps!
Which of the following is the solution to the equation 25^(z + 2) = 125? (6 points) Answer choices are 1) z = 5.5 2) z = 3.5 3) z = −2.5 4) z = −0.5
Step-by-step explanation:
a. z = 5.5
25 ^( 5.5 - 4 ) = 125
25 ^ (1.5) = 125
125 = 125
z = 5.5
PlZzzzz follow me
6th grade math help me, please :))
Answer:
D
Step-by-step explanation:
100/5=20
20*7=140
odd function definition
Carbon–14 is a radioactive isotope that decays exponentially at a rate of 0.0124 percent a year. How many years will it take for carbon–14 to decay to 10 percent of its original amount? The equation for exponential decay is At = A0e–rt.
Answer:
It will take 18,569.2 years for carbon–14 to decay to 10 percent of its original amount
Step-by-step explanation:
The amount of Carbon-14 after t years is given by the following equation:
[tex]A(t) = A(0)e^{-rt}[/tex]
In which A(0) is the initial amount and r is the decay rate, as a decimal.
Carbon–14 is a radioactive isotope that decays exponentially at a rate of 0.0124 percent a year.
This means that [tex]r = \frac{0.0124}{100} = 0.000124[/tex]
How many years will it take for carbon–14 to decay to 10 percent of its original amount?
This is t for which:
[tex]A(t) = 0.1A(0)[/tex]
So
[tex]A(t) = A(0)e^{-rt}[/tex]
[tex]0.1A(0) = A(0)e^{-0.000124t}[/tex]
[tex]e^{-0.000124t} = 0.1[/tex]
[tex]\ln{e^{-0.000124t}} = \ln{0.1}[/tex]
[tex]-0.000124t = \ln{0.1}[/tex]
[tex]t = -\frac{\ln{0.1}}{0.000124}[/tex]
[tex]t = 18569.2[/tex]
It will take 18,569.2 years for carbon–14 to decay to 10 percent of its original amount
In a large university, 20% of the students are business majors. A random sample of 100 students is selected, and their majors are recorded. a) Compute the standard error of the proportion. b) What is the probability that the sample contains at least 12 business majors
Answer:
a. 0.04
b. 0.9772
Step-by-step explanation:
Please check attachment for complete solution and step by step explanation
Help! PLZ, 20 PTS in 10 mins if possible thx !!!! A gym charges $55 for a monthly membership and an additional $4.50 for each yoga class a member attends. Simba can spend at most $70 at the gym each month. Write an inequality that shows the maximum number of yoga classes, y, that Simba can attend while staying within his gym budget. _________
Answer:
(70-55)/4.5=y rounded down to the nearest whole number
Step-by-step explanation:
The first step is to take away the $55 from $70
70-55=15
Simba has $15 to spend on the yoga classes, to find the number of yoga classes she can attend, you divide 15 by the amount a yoga class costs, $4.50
15/4.50=3 1/3
Because she can not have 1/3 of a yoga class, she can attend 3 yoga classes in her budget.
Hope this helps, if you have any questions feel free to ask
Have a good day! :)
NEED HELP LIKE NOW PLSSS HELP 50 POINTS Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar and ^ to indicate an exponent. Find the missing term.
Answer:
The expression that fits into the box is x¹⁵⁸
Step-by-step explanation:
Let the empty box be y
(x¹²)⁵ × (x⁻²)⁹ × y = (x⁴⁰)⁵
Here, we will apply the laws of indices.
The laws of indices gives the answer for the expressions
1) xᵏ × xˢ = xᵏ⁺ˢ
2) xᵏ ÷ xˢ = xᵏ⁻ˢ
3) (xᵏ)ˢ = xᵏ•ˢ
So,
(x¹²)⁵ = x⁶⁰
(x⁻²)⁹ = x⁻¹⁸
(x⁴⁰)⁵ = x²⁰⁰
(x¹²)⁵ × (x⁻²)⁹ × y = (x⁴⁰)⁵
Becomes
x⁶⁰ × x⁻¹⁸ × y = x²⁰⁰
x⁶⁰⁻¹⁸ × y = x²⁰⁰
x⁴² × y = x²⁰⁰
y = x²⁰⁰ ÷ x⁴²
y = x²⁰⁰⁻⁴² = x¹⁵⁸
Hope this Helps!!!
Graph y less than or equal to 3x
Answer:
See Image Below.
Step-by-step explanation:
The Shaded region is the area of numbers that this equation satisfies.
Answer:
Please see attached image
Step-by-step explanation:
In order to graph the inequality, start from plotting the boundary line defined by the equality;
y = 3 x
You just need two points to accomplish such. so let's use two simple values for x and find what the y-values are:
for x = 0 then y = 3 (0) = 0
for x = 1 then y = 3 (1) = 3
Then use the points (0, 0) and (1, 3) to plot the boundary line.
After this, grab any point on the plane either clearly above the boundary line, or clearly below it and check if the inequality satisfies. For example, you can pick the point (3, 0) which is on the x line, 3 units to the right of the origin, and clearly below the boundary line we just plot.
When you use it in the inequality, you get:
(0) [tex]\leq[/tex] 3 (3)
0 [tex]\leq[/tex] 9
which is a true statement, therefore, the points below the boundary lie are also solutions of the inequality.
Then the solution consists of all the points in the boundary line we just plotted (and indicated by drawing a solid line), plus all the points below the line, as depicted in the attached image.
In a small private school, 55 students are randomly selected from 1313 available students. What is the probability that they are the fivefive youngest students?
Complete Question
In a small private school, 5 students are randomly selected from 13 available students. What is the probability that they are the five youngest students?
Answer:
The probability is [tex]P(x) = 0.00078[/tex]
Step-by-step explanation:
From the question we are told that
The number of student randomly selected is r = 5
The number of available students is n = 13
Generally the number of ways that 5 students can be selected from 13 available students is mathematically represented as
[tex]n(k)=\left n} \atop {}} \right.C_r = \frac{n ! }{(n-r ) ! r!}[/tex]
substituting values
[tex]\left n} \atop {}} \right.C_r = \frac{13 ! }{(13-5 ) ! 5!}[/tex]
[tex]\left n} \atop {}} \right.C_r = \frac{13 * 12 * 11 * 10 * 9 *8! }{8 ! * 5 * 4 * 3 * 2 *1}[/tex]
[tex]\left n} \atop {}} \right.C_r = 1287[/tex]
The number of method by which 5 youngest students are selected is n(x) = 1
So
Then the probability of selecting the five youngest students is mathematically represented as
[tex]P(x) = \frac{n(x)}{n(k)}[/tex]
substituting values
[tex]P(x) = \frac{1}{1287}[/tex]
[tex]P(x) = 0.00078[/tex]
A jet flies 425 km from Ottawa to Québec at rate v + 60. On the return flight, the
plane encountered wind resistance and travelled at rate v - 40. What is the
difference in flight times of the initial and return flights?
Answer:
a. [tex] \frac{- 42,500}{(v + 60)(v - 40)} [/tex]
Step-by-step Explanation:
Given:
Distance Ottawa to Québec = 425 km
Initial flight rate = v + 60
Return flight rate = v - 40
[tex] t = \frac{d}{r} [/tex]
Required:
Flight times difference of the initial and return flights
Solution:
=>Flight time of the initial flight:
[tex] t = \frac{d}{r} [/tex]
[tex] t = \frac{425}{v + 60} [/tex]
=>Flight time of the return flight:
[tex] t = \frac{425}{v - 40} [/tex]
=>Difference in flight times:
[tex] \frac{425}{v + 60} - \frac{425}{v - 40} [/tex]
[tex] \frac{425(v - 40) -425(v + 60)}{(v + 60)(v - 40)} [/tex]
[tex] \frac{425(v) - 425(40) -425(v) -425(+60)}{(v + 60)(v - 40)} [/tex]
[tex] \frac{425v - 17000 -425v - 25500}{(v + 60)(v - 40)} [/tex]
[tex] \frac{425v - 425v - 17000 - 25500}{(v + 60)(v - 40)} [/tex]
[tex] \frac{- 42,500}{(v + 60)(v - 40)} [/tex]
g Suppose that twenty different hypothesis tests for whether jellybeans cause acne are conducted. In order that the probability of one or more type I error between these should be at most 0.05, at most what significance level should be used for each of them?
Answer:
The level of significance to be used is α = 0.0025
Step-by-step explanation:
Here, we are interested in calculating the the level of significance which at most must be used for each of the hypothesis test
We proceed as follows;
P(type 1 error) = α
From the question, n = number of hypotheses = 20
P( of one or more type one error) ≤ 0.05
1- P(no type one error) ≤ 0.05
Hence;
1- (1-α)^20 ≤ 0.05
(1-α)^20 ≥ 0.95
1- α ≥ 0.997438621223
α ≤ 0.00256
Thus α = 0.0025
What is the range of the function (-1,2) (3,6) (5,8)
Answer:
Range { 2,6,8}
Step-by-step explanation:
The domain is the input and the range is the output
Range { 2,6,8}
Answer:
2, 6, 8
Step-by-step explanation:
The range is the possible values of y, (x, y). So in this case, y could be 2, 6, or 8.
Ash Lee bought a new Brunswick boat for $17,000. He made a $2,500 down payment on it. The bank's loan was for 60 months. Finance charges totaled $4,900. His monthly payment is:
Answer: $323.33
Step-by-step explanation:
($17,000 + $4,900 - $2,500) ÷ 60 months = $323.33 per month
↓ ↓ ↓
price finance down payment
Find the area of this shape
Answer:
12.5
Step-by-step explanation:
(7.5+2.5)x2.5/2
Answer:
12.5 units ^2
Step-by-step explanation:
This figure is a trapezoid
The area of a trapezoid is given by
A = 1/2 (b1+b2) *h
where b1 and b2 are the lengths of the bases and h is the height
A = 1/2 ( 2.5+ 7.5) *2.5
= 1/2 ( 10) * 2.5
=12.5 units ^2
Imagine you have a data set with 9,987 names. The data set is sorted alphabetically. You want to find out if the name "David Joyner" is in the data set. Using a linear search, what is the minimum number of names we might have to check?
Answer:
1
Step-by-step explanation:
David Joyner might be the first name, so you may only have to check 1 name.
questions:
1. name two parallel lines___________________
2. Name the transversal lines________________
3. Name a pair of alternante exterior angles____________
4. Name an angle that is congruent to <2____________
5. Name an angle that is supplementary to <2________________________
Answer:
a and b c because it's crossing both lines a and b 1 and 5 4 is congruent to 21 is supplementary to 2 since they form a 180° angleIdentify the CONCLUSION of a hypothesis test of the following claim and sample data: Claim: "The average annual household income in Warren County is $47,500." A random sample of 86 households from this county is obtained, and they have an average annual income of $48,061 with a standard deviation of $2,351. Test the claim at the 0.02 significance level.
Complete Question
The options for the above question is
a There is not sufficient evidence to warrant rejection of the claim.
b There is sufficient evidence to warrant rejection of the claim.
c There is sufficient evidence to support the claim.
d There is not sufficient evidence to support the claim.
Answer:
Option A is correct
Step-by-step explanation:
From the question we are told that
The population mean is [tex]\mu =[/tex]$47,500
The sample size is [tex]n = 86[/tex]
The sample mean is [tex]\= x =[/tex]$48,061
The standard deviation is [tex]\sigma =[/tex]$2,351
The level of significance is [tex]\alpha = 0.02[/tex]
The null hypothesis is
[tex]H_o : \mu =[/tex]$47,500
The alternative hypothesis is
[tex]H_a : \mu \ne[/tex] $47,500
The critical value of [tex]\alpha[/tex] from the t-Distribution table is [tex]Z_{\frac{\alpha }{2} } = 2.326[/tex]
Now the test statistics is mathematically evaluated as
[tex]t = \frac{\= x - \mu }{ \frac{\sigma }{\sqrt{n} } }[/tex]
substituting values
[tex]t = \frac{48061 - 47500 }{\frac{2351}{\sqrt{86} } }[/tex]
[tex]t = 2.21[/tex]
Now from the values obtained we can see that
[tex]Z_{\frac{\alpha }{2} } > t[/tex]
hence we fail to reject the null hypothesis
Hence there is not sufficient evidence to warrant rejection of the claim
bh. Find the area of the shape with the given
The area of a triangle can be found by the formula A
base (b) and height (h).
h
b
b = 5 cm and h = 3 cm
Answer:
[tex]7.5cm^2[/tex]
Step-by-step explanation:
Well using the following formula,
[tex]\frac{b*h}{2}[/tex]
5*3 = 15
15 / 2
7.5cm^2
Answer:[tex]7.5cm^{2}[/tex]
Step-by-step explanation:
h=3
b=5
area=1/2 x b x h
1/2 x 5 x 3
area=7.5
A Cepheid variable star is a star whose brightness alternately increases and decreases. For a certain star, the interval between times of maximum brightness is 5.7 days. The average brightness of this star is 5.0 and its brightness changes by ±0.25. In view of these data, the brightness of the star at time t, where t is measured in days, has been modeled by the function B(t) = 5.0 + 0.25 sin 2πt 5.7 .Find the rate of change of the brightness after t days.
Correct expression of B(t) is;
B(t) = 5.0 + 0.25 sin(2πt/5.7)
Answer:
B'(t) = (5π/57)cos(2πt/5.7)
Step-by-step explanation:
We are given;
B(t) = 5.0 + 0.25 sin(2πt/5.7)
Now the rate of change of the brightness after t days is simply the derivative of B(t)
Thus;
B'(t) = 0 + [{0.25 cos(2πt/5.7)} × (2π/5.7)]
This leads to;
B'(t) = (0.5π/5.7)cos (2πt/5.7)
Simplifying this further gives;
B'(t) = (5π/57)cos(2πt/5.7)
Solve the system. If there is more than one solution, write the general solution. x + y - 2z = 9 3x + y + 2z = 15 x - 5y + 22z = -27 Solution {-2z + 3, 4z + 6, z | z is any real number}
Answer:
x = (12-k)/2, y = k, z = (k-6)/4Step-by-step explanation:
Given the system of equation
x + y - 2z = 9 ... 1
3x + y + 2z = 15 ...2
x - 5y + 22z = -27... 3
First let us reduce the system of equation into two with two unknowns.
Subtracting 1 from 3
y-(-5y) + (-2z-22z) = 9-(-27)
y+5y + (-24z) = 9+27
6y-24z = 36 ... 4
Multiplying equation 1 by 3 and subtracting from equation 2
3x + 3y - 6z = 27
3x + y + 2z = 15
On subtracting both;
(3y-y)+(-6z-2z) = 27-15
2y-8z = 12 ... 5
Equating 4 and 5
6y-24z = 36 ... 4
2y-8z = 12 ... 5
Multiplying equation 5 by 3 the equation becomes;
6y-24z = 36 ... 6
6y-24z = 36 ... 7
We can see that equation 6 and 7 are the same;
let y = k
6k - 24z = 36
k - 4z = 6
4z = k-6
z = k-6/4
Substituting y = k and z = k-6/4 into equation 1 to get x
From 1; x + y - 2z = 9 ... 1
x + k -2( k-6/4) = 9
x + k - (k-6)/2 = 9
x = 9+(k-6)/2-k
x = {18+(k-6)-2k}/2
x = (12-k)/2
The solutions to the system of equations are x = (12-k)/2, y = k, z = (k-6)/4 where k is any constant. This shows that the system of equation has infinite solutions.
match the inequality, x²≥0, with it's equivalent interval notation
Answer:
[tex](-\infty, \infty)[/tex]
Step-by-step explanation:
Every number, when you raised to the second power is positive, therefore that inequality would be all real numbers.
[tex](-\infty, \infty)[/tex]
Find the domain for the rational function f of x equals quantity x end quantity divided by quantity x minus 5 end quantity.
Answer:
All real numbers except for 5.
Step-by-step explanation:
[tex]f(x)=\frac{x}{x-5}[/tex]
The domain of rational functions is determined by the denominator. The denominator cannot equal zero since if they do, the function will be undefined.
Thus, we need to find the zero(s) of the denominator to determine the domain.
[tex]x-5=0[/tex]
[tex]x=5[/tex]
Therefore, the domain of the rational function is all real numbers except for 5.
In set builder notation, this is:
[tex]\{x|x\in \mathbb{R}, x\neq 5\}[/tex]
Yo tenía $5
Mi mamá me dió $10
Mi papá me dió $30
Mi tío y mi tía me dieron $100
Yo tenía otros $20
¿Cuánto tenía?
Answer:
$25
Step-by-step explanation:
De la pregunta anterior, se nos da la siguiente información
Yo TENÍA $ 5
Mi mamá me dió $ 10
Mi papá me dió $ 30
Mi tío y mi tía me dieron $ 100
Yo TENÍA otros $ 20
Si miras arriba, notarás que la palabra TENÍA está en mayúscula.
Esto se debe a que para resolver esta pregunta correctamente, tenemos que concentrarnos o prestar atención a los tiempos verbales del inglés que se usan al hacer la pregunta.
La pregunta dice: ¿Cuánto tenía?
Esto significa que la pregunta anterior es sobre cuánto tenía en el pasado antes de que sus padres, tío y tía le dieran dinero.
Por lo tanto, la cantidad de dinero que tenía
= $20 + $5
= $ 25
The total amount I have altogether will be $165
In order to get the total amount that you have, we will add all the cash you were given and the ones you have altogether.
Amount initially owned = $5
Amount given by relatives = $10 + $30 + $100
Amount given by relatives = $140
If he has another $20
Total amount I have = $5 +$140 + $20
Hence the total amount I have altogether will be $165
Learn more here: https://brainly.com/question/18843373
Question 3
34° Celsius is equal to
o
Fahrenheit
Hi
Below the formulas to convert Celsius into Fahrenheit.
9/5 C +32 = degree in fahrenheit.
Where C is the degree in celsius. So have a try and find the answer.
