Answer:
B. 46 Degrees
Step-by-step explanation:
Remember that the angles of a triangle add up to 180 degrees.
L and K are congruent as shown with the line, since L is 67 degrees K is also 67 since they are congruent so,
67 + 67 = 134
Since the angles add up to 180 degrees subtract the angles of L and K by 180 to find the value of J:
180 - 134 = 46
So, the measure of J is 46 degrees.
−2∣x−14∣+5=−6∣x−14∣−1
HELP
Answer:
No solutions---------------------------------
Given equation:
−2∣x − 14∣ + 5 = −6∣x − 14∣ − 1Add - 6|x - 14| to both sides:
4∣x − 14∣ + 5= − 1Add - 5 to both sides
4∣x − 14∣ = − 6No solution since the left side can't be negative as an absolute value.
The positive GCF of -24y and -20 is 4. Complete each equation with an expression or integer factor.
The missing factor in the second equation is 1, and the completed equation is: -24y + (-5) = -4(6y + 5/4)
How to complete each equation with an expression or integer factor.We know that the GCF of -24y and -20 is 4. To find the missing factor in each equation, we can divide both terms by the GCF of 4.
For the first equation, we have:
-24y = 4 * (-6y)
Dividing both sides by 4, we get:
-6y = -24/4
Simplifying, we get:
-6y = -6
Therefore, the missing factor in the first equation is -1, and the completed equation is:
-24y + 20 = -4(6y - 5)
For the second equation, we have:
-20 = 4 * (-5)
Dividing both sides by 4, we get:
-5 = -20/4
Simplifying, we get:
-5 = -5/1
Therefore, the missing factor in the second equation is 1, and the completed equation is:
-24y + (-5) = -4(6y + 5/4)
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a menu has 30% vegatarian options. if there is a total of 70 options on the menu, how many options are vegatarian
Answer:
49 options are vegan hope this helps have a nice day please give me brainliest:)))
Step-by-step explanation:
The weights of 1500 bodybuilders are normally distributed with a mean of 190.6 pounds and a standard deviation of 5.8 pounds.
A. About how many bodybuilders are between 180 and 190 pounds?
B. What is the probability that a bodybuilder selected at random has a weight greater than 195 pounds?
Answer:
A. 637
B. 0.2240 (4 dp) = 22.4% (nearest tenth)
Step-by-step explanation:
Normal Distribution
\(\sf X \sim N(\mu, \sigma^2)\)
Given:
\(\sf \mu = 190.6\)\(\sf \sigma=5.8\)\(\implies \sf X \sim N(190.6, 5.8^2)\)
Part A\(\begin{aligned}\sf P(180 < X < 190) & = \sf P(X < 190)-P(X\leq 180)\\& = \sf 0.4588035995-0.03380583874\\& = \sf 0.4249977608\end{aligned}\)
Total number of bodybuilders = 1500
Therefore, the number of bodybuilders between 180 and 190 pounds is:
\(\begin{aligned}\sf P(180 < X < 190) \cdot1500 & = \sf 0.4249977608 \cdot 1500\\& = \sf 637.4966412\\& = \sf 637\end{aligned}\)
Part B\(\begin{aligned}\sf P(X > 195) & = \sf 1-P(X\leq 195)\\& = \sf 1-0.7759602537\\ & = \sf 0.2240397463\\ & = \sf 0.2240\:(4\:dp)\end{aligned}\)
————-PLEASE HELP————
Oscar has a $2,500 balance on his credit card that accumulates 14.5% interest compounded annually. Which of the following could be used to find the balance on the card after 5 years?
Answer:
35$
Step-by-step explanation:
It will take 10 years and 11 months to payoff the balance. The total interest is $2,574.43
Point A is at (-7, 5) and point B is at (7,3).
What is the midpoint of line segment AB?
\(m = ( \frac{x1 + x2}{2} . \frac{y1 + y2}{2} ) \\ = ( \frac{ - 7 + 7}{2} . \frac{5 + 3}{2} ) \\ =( \frac{0}{2} . \frac{8}{2} ) \\ m(0.4)\)
be alert m represents the MIDPOINT.
THE MIDPOINT IS (0,4)
Answer:
-1/7
Step-by-step explanation:
HELP ME PLEASE AND THANKS :) <3
Answer:
D. Cost
It is cost because the y axis is the dependent variable because the cost depends on the weight and the dependent is the y axis.
Step-by-step explanation:
Please mark brainliest I hope this helps.
Answer:
D the cost
Step-by-step explanation:
cause the costs always go on the y axis
scenario 6-3 in a certain population of students, the number of calculators a student owns is a random variable x described by the following probability distribution: x 0 1 2 p(x) 0.2 0.6 0.2 use scenario 6-3. which of the following is the mean of x? group of answer choices 1 the answer cannot be computed from the information given. 2 0.5 1.2 next
1.0 is the mean of the variable x
How to find the mean of x?
The mean or expected value is defined as the predicted value of a variable, calculated as the sum of all possible values each multiplied by the probability of its occurrence.
Given :
x| 0 1 2
p| 0.2 0.6 0.2
The expected value of x, E(x) =Σ xp
where x = number of classes and p = probability
E(x) = (0×0.2) + (1×0.6) + (2×0.2)
E(x) = 0 + 0.6 + 0.4
E(x) = 1.0
Therefore, the mean of the variable x is 1.0
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0.6 If the probability that student A will fail a certain statistics examination is 0.5, the probability that student B will fail the examination is 0.2, and the probability that both student A and student B will fail the examination is OJ. what is the probability that at least one of these two students will fail the examination
The probability that at least one of the two students will fail the examination is 0.7.
To find the probability that at least one of the two students will fail the examination, we can use the principle of complementary probability.
Let's denote the event of student A failing the examination as A and the event of student B failing as B.
We are given that P(A) = 0.5, P(B) = 0.2, and the probability that both student A and student B will fail the examination is denoted as P(A ∩ B).
The complementary probability of at least one student failing is equal to 1 minus the probability that both students pass the examination.
In other words:
P(at least one student fails) = 1 - P(both students pass)
To find P(both students pass), we can use the concept of independent events.
If the events A and B are independent, then:
P(A ∩ B) = P(A) \(\times\) P(B)
However, since we are not given information about the independence of A and B, we cannot assume they are independent.
Therefore, we cannot directly calculate P(both students pass) using the given information.
However, we can make use of the principle of inclusion-exclusion to calculate the probability that at least one student fails.
The principle states that:
P(A ∪ B) = P(A) + P(B) - P(A ∩ B)
Using this principle, we can calculate P(at least one student fails) as:
P(at least one student fails) = P(A) + P(B) - P(A ∩ B)
Substituting the given values, we have:
P(at least one student fails) = 0.5 + 0.2 - P(A ∩ B)
Unfortunately, without knowing the value of P(A ∩ B), we cannot provide a specific numerical answer.
However, we can conclude that the probability of at least one of the two students failing the examination is equal to 0.7 minus the unknown value of P(A ∩ B).
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2. If f(x) = 2x2 – 7x -10, find the following: a) f(x-1) b) x, if f(x) = 5 Please helpppppp
Answer:
a) f(x-1) = 2x^2-11x-1
b) x = -1.5 or 5
Step-by-step explanation:
a) To get f(x-1)
We proceed to substitute x-1 for x as follows
f(x-1) = 2(x-1)^2 -7(x-1) -10
f(x-1) = 2(x^2 - 2x + 1) -7(x-1)-10
f(x-1) = 2x^2 -4x + 2 -7x + 7-10
f(x-1) = 2x^2-11x-1
b) What we have to do here is substitute 5 for f(x) and solve for x
5 = 2x^2 -7x-10
2x^2 -7x -10-5 = 0
2x^2 - 7x - 15 = 0
2x^2 -10x + 3x -15 = 0
2x(x-5) + 3(x-5) = 0
(2x + 3)(x-5) = 0
2x + 3 = 0 or x -5 = 0
2x = -3 or x = 5
x = -3/2 or x = 5
x = -1.5 or 5
Joey's piano lesson started at 4:50 p.m. his lesson ended at 5:26 p.m. how long was joey's piano lesson?
Answer:
36 minutes
Step-by-step explanation:
5:26
4:50
4:50 plus what is 5:00? 10 min.
And then you add 26 minutes from 5:26.
which would be 36.
EASY POINTS!! EASY POINTS!!
Above are two different models of the same rectangle. If the length of the model on the top is 6 cm, what is the length of the model on the bottom?
A. 36 cm
B. 15 cm
C. 21 cm
D. 12 cm
Answer:
A. 36cm
Step-by-step explanation:
When measuring it with a ruler, you will get six of the top rectangle
6 x 6 = 36
What is the value of the expression 16 + 56/n when n = 8?
Answer:
23
Step-by-step explanation:
\(16 + \frac{56}{n} \)
\(where \: n = 8\)
\(16 + \frac{56}{8} \)
\(23\)
\(56 / 8 = 7\)
Add second\(7 + 16 = 23\)
With that information, your answer is twenty-three.
Question 3
If 5x + 2 = 17, then 12x =
?
Answer:
36
Step-by-step explanation:
in 5x+2=17, you solve and get x=3. Then you do 12(3) to get 36.
Question 3 Determine whether or not each of the following sequences is (i) bounded, (ii) monotone, and (iii) convergent. Find the limit of any convergent sequence. 1 (a) {5+(-1)} " (b) {-e"} (c) {-e-"}
The sequence given in (a) part is a constant sequence and its limit is 4, (b) is a constant sequence and its limit is -e. (c) part is a constant sequence and its limit is -e-1.
To determine if a sequence is bounded, we need to check if its terms stay within certain limits as n increases.
To determine if a sequence is monotone, we need to check if its terms are always increasing or always decreasing.
To determine if a sequence is convergent, we need to check if its terms get closer and closer to a certain value as n increases.
(a) {5+(-1)} is a constant sequence that is bounded, monotone, and convergent. Its limit is 4.
(b) {-e"} is a constant sequence that is bounded, monotone, and convergent. Its limit is -e.
(c) {-e-"} is a constant sequence that is bounded, monotone, and convergent. Its limit is -e-1.
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i need step by step please 3(x-2)^2+1=13
Answer:
\( x_{1} = 0. \: \: \: x_{2} = 4\)
Step-by-step explanation:
\(3(x - 2)^{2} + 1 = 3\)
\(3( {x}^{2} - 4x + 4) + 1 = 13\)
\( {3x}^{2} - 12x + 12 + 1 = 13\)
\( {3x}^{2} - 12x + 13 = 13\)
\( {3x}^{2} - 12x = 0\)
\(x \times (x - 4) = 0\)
\(x = 0\)
\(x - 4 = 0\)
\( \boxed{\green{x_{1} = 0. \: \: \: x_{2} = 4}}\)
The ideal length of a particular metal rod is 25.5 cm. The measured
length may vary from the ideal length by at most 0.025 cm. Find the
range of acceptable lengths for the rod.
Answer:
25.252
Step-by-step explanation:
Farmer Ed has 3,000 meters of fencing. and wants to enclose a reclangular plot that borders on a river. If Famer Ed does nat fence the side along the river, What is the largest area that can be enclos
Farmer Ed has 3,000 meters of fencing and wants to enclose a rectangular plot that borders on a river.The largest area that can be enclosed is 750,000 square meters.
What is the largest area that can be enclosed?To get the largest area that can be enclosed, we have to find the dimensions of the rectangular plot. Let's assume that the width of the rectangle is x meters.The length of the rectangle can be found by subtracting the width from the total length of fencing available:L = 3000 - x. The area of the rectangle can be found by multiplying the length and width:Area = L × W = (3000 - x) × x = 3000x - x²To find the maximum value of the area, we can differentiate the area equation with respect to x and set it equal to zero.
Then we can solve for x: dA/dx = 3000 - 2x = 0x = 1500. This means that the width of the rectangle is 1500 meters and the length is 3000 - 1500 = 1500 meters.The area of the rectangle is therefore: Area = L × W = (3000 - 1500) × 1500 = 750,000 square meters. So the largest area that can be enclosed is 750,000 square meters.
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During a science experiment,the temperature of a solution in beaker 1 was 5 degrees below zero. The temperature of a solution in Beaker 2 was the opposite of the temperature in beaker 1. What was the temperature in beaker 2?
A. - 5 degrees
B- 0 degrees
C- 5 degrees
D- 10 degrees
A shape that is can be suggested by dots or dashes that do not connect is known as ___________ shape.Quizlet
A dotted shape is a type of shape that can be suggested by dots or dashes that don't connect. A shape that can be suggested by dots or dashes that do not connect is known as a Dotted shape.
The term "dotted shape" refers to the shapes that are created by drawing dots or dashes that don't connect. The idea behind this technique is to suggest the shape of an object without drawing its entire outline.The dotted shape technique is commonly used in drawing and graphic design to add a decorative touch to a design. It is also used in children's books and educational materials to teach children about shapes and how to draw them.
There are different types of dotted shapes, including circles, squares, triangles, and rectangles, to name a few. The dotted shape technique can be used to create a variety of designs, from simple to complex, depending on the desired effect.
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The sum of five consecutive positive integers is 2020. Find the largets of these numbers.
Answer:
406
Step-by-step explanation:
let the 5 consecutive positive integers be
n , n + 1 , n + 2 , n + 3 , n + 4 , then
n + n + 1 + n + 2 + n + 3 + n + 4 = 2020
5n + 10 = 2020 ( subtract 10 from both sides )
5n = 2010 ( divide both sides by 5 )
n = 402
then
largest integer = n + 4 = 402 + 4 = 406
Billy makes mortar by mixing 360 kg of cement with 90 kg of sand.
Sam makes mortar by mixing 340 kg of cement with 85 kg of sand.
Whose mortar has the higher proportion of cement?
Both Billy and Sam have the same proportion of cement in their mortar, which is 80% of the total mass. Billy's mixture has more cement than Sam's.
Billy and Sam make mortar by mixing cement and sand. Billy uses 360 kg of cement and 90 kg of sand, while Sam uses 340 kg of cement and 85 kg of sand. We need to determine which of them has a higher proportion of cement.
Let's calculate the proportion of cement in Billy's mortar:
Proportion of cement in Billy's mortar = (mass of cement / total mass of mixture) x 100%
Proportion of cement in Billy's mortar = (360 / (360+90)) x 100%
Proportion of cement in Billy's mortar = 80%
Now let's calculate the proportion of cement in Sam's mortar:
Proportion of cement in Sam's mortar = (mass of cement / total mass of mixture) x 100%
Proportion of cement in Sam's mortar = (340 / (340+85)) x 100%
Proportion of cement in Sam's mortar = 80%
Therefore, both Billy and Sam have the same proportion of cement in their mortar.
In other words, the amount of cement in their mixture is 80% of the total mass of the mixture. Billy's mixture has more cement than Sam's mixture.
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which one of the following sampling methods is more likely to be appropriate for calculating confidence intervals?
The sampling method that is most likely to be appropriate for calculating confidence intervals is simple random sampling.
This method ensures that every member of the population has an equal chance of being selected for the sample. This reduces the risk of bias and ensures that the sample is representative of the population. Stratified sampling is also a useful method for calculating confidence intervals, especially when the population has subgroups that need to be represented in the sample. However, other sampling methods like convenience sampling or quota sampling are not appropriate for calculating confidence intervals as they can introduce bias into the sample and do not guarantee a representative sample. Therefore, it is important to use an appropriate sampling method when calculating confidence intervals to ensure that the results accurately reflect the population.
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The principal P is borrowed at a simple interest rate r for a period of time t. Find the loan's future value A, or the total amount due at time t. Round answers to the nearest cent. P=$2000, r=%6, T=6 years
Answer:
$2720
Step-by-step explanation:
Given data
Principal=$2000
r= %6
T= 6 years
The expression for the final amount is
A= P(1+rt)
A=2000(1+0.06*6)
A=2000(1+0.36)
A=2000*1.36
A=2720
Hence the amount is $2720
The graph of h is a translation 6 units down and 2 units left of the graph of f(x)=x2−7x. For each value of x, g(x) is 115% of h(x). Write a rule for g
Answer:
HELPPPPPP
Step-by-step explanation:
HELPPPPPPP
rachel and robert run on a circular track. rachel runs counterclockwise and completes a lap every 9090 seconds, and robert runs clockwise and completes a lap every 8080 seconds. both start from the same line at the same time. at some random time between 1010 minutes and 1111 minutes after they begin to run, a photographer standing inside the track takes a picture that shows one-fourth of the track, centered on the starting line. what is the probability that both rachel and robert are in the picture?
The probability that both Rachel and Robert are in the picture is 3/16.
The terms probability and possibility are interchangeable. It is a mathematical branch concerned with the occurrence of a random event. The value is between 0 and 1. In mathematics, the probability was introduced to predict the likelihood of events occurring.
Given that
Rachel and Robert both begin at the same point
Rachel completes a lap every 90 seconds.
Robert completes a lap every 80 seconds.
The photographer captures 1/4th of the track, centered on the starting line.
As a result, the photo captures 1/8th of the track on either side of the starting line.
The photographer captures it between 10 and 11 minutes, or 600 and 660 seconds.
Let us calculate the time interval between 600 and 660 seconds during which Rachel and Robert will be running in the quarter-length region of the track centered on the starting line. Specifically, 1/8th of the track length on each side of the starting line.
Robert will complete 1/8th of a lap in 10 seconds. So, between 630 and 650 seconds, Robert will be in the area of the ground captured by the photographer.
Rachel finishes one lap in 90 seconds. As a result, Rachel will take the starting line at the 630th second (after 7 laps).
Rachel will complete 1/8th of a lap in 90/8 seconds. So, Rachel will be in the area of the ground captured by the photographer from (630 - 90/80) seconds to (630 + 90/80) seconds.
i.e., for a duration of 90/80 seconds out of the 60 seconds both of them are in the frame captured by the photographer.
Required probability = {time window in which both Rachel and Robert are in the favorable zone}/{time window in which the photographer captures the picture}
= {90/8}/60
= 3/16
Therefore the probability that both Rachel and Robert are in the picture is 3/16
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Samir is going to invest $22,000 and leave it in an account for 9 years. Assuming the interest is compounded monthly, what interest rate, to the nearest tenth of a percent, would be required in order for Samir to end up with $38,000?
The interest rate required to get a total amount of $38,000.00 from compound interest on a principal of $22,000.00 compounded 1 times per year over 9 years is 9.0909 % per year.
What is the interest rate?The amount a lender charges a borrower is called an interest rate, and it is expressed as a percentage of the principal, or the loaned amount. Typically, a loan's interest rate is expressed as an annual percentage rate, or APR .
r = n[(A/P)1/nt - 1]
r = 1 × [(38,000.00/22,000.00)1/(1)(9) - 1]
r = 0.0909090
Then convert r to R as a percentage
R = r × 100
R = 0.0909090 × 100
R = 9.0909 %/year
The interest rate required to get a total amount of $38,000.00 from compound interest on a principal of $22,000.00 compounded 1 times per year over 9 years is 9.0909 % per year.
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Answer: 6.1
Step-by-step explanation:
Find the area of each figure
Answer:
92
Step-by-step explanation:
this figure can be "split" into 3 sub-figures.
one rectangle in the middle, one triangle to the right, and one triangle on top.
these areas we can calculate very easily. and then we simply sum up all 3 of them and we have the answer.
it is clear, the area of a rectangle is length×width.
and the area of triangle is baseline×height/2.
where in a right-angled triangle one of the sides next to the 90 degree angle is the baseline and the other is the height.
the rectangle
R = 10×6 = 60
the triangle to the right
T1 = (14-10)×6/2 = 12
the triangle on the top
T2 = 10×(10-6)/2 = 20
so, the total area is
60+12+20 = 92
The area of the given figure is 92.
This figure contained 3 sub-figures.
One rectangle in the middle, one triangle to the right, and one triangle on top.
The area of these areas we can calculate very easily. and then we ad all 3 of them and we have the answer.
What is the area of a rectangle?The area of a rectangle is,
\(A=length\times width.\)
What is the area of triangle?The area of triangle is
\(A^*= \frac{1}{2} \times base\times height\)
Where in a right-angled triangle one of the sides next to the 90 degree angle is the baseline and the other is the height.
The area of rectangle
\(R =l\times w \\R=10\times 6 \\R= 60\)
The triangle to the right
\(T_1 = (14-10)\times 6/2 = 12\)
The triangle on the top
\(T_2 = 10\times (10-6)/2 = 20\)
Therefore, the total area is,
60+12+20 = 92
Therefore the area of the given figure is 92.
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The formula to convert Celsius to Fahrenheit is F=9/5 C +32. Convert 87°F to Celsius.
Round to the nearest degree.
A. 16°C
B. 55°C
C. 99°C
D. 31°C
Answer:
D. 31°C
Step-by-step explanation:
I hope it helps you
What is -3 over 9 in standard form
Answer:
-1/3
Step-by-step explanation:
-3/9
= -1/3