Answers
Answer:
x = -5
Step-by-step explanation:
Since these two triangles are similar, the ratio between the corresponding lengths of each triangle will be the same.
This means the ratio between one side of each triangle (e.g. AD and DC) will be the same as the ratio between a different side of each triangle (e.g. BE and BC).
So, to create an equation for the sides which contain the unknown 'x', we must first find the ratio between the two sides by using a different set of sides.
On the right side we are given 9 for AD, and 18 for DC.
9/18 = 0.5
This means that the extra length of the larger triangle from the smaller one (AD) is half the length of the smaller triangle (DC). We can use this to make an equation for x:
If AD/DC = 0.5, then BE/EC will also = 0.5
BE = x+23
EC = x+41
Therefore:
\(\frac{x+23}{x+41} = 0.5\)
Now we can solve by multiplying both sides by x+41 to eliminate the fraction:
\(x+23=0.5(x+41)\)
Now we multiply out the brackets and move the terms to different sides:
\(x+23=0.5x+20.5\)
\(0.5x = -2.5\)
\(x = -5\)
And if we substitute the -5 into the equations:
-5+23 = 18
-5 + 41 = 36
We will see that -5 does indeed give us the same ratio between the lengths:
18/36 = 0.5
Hope this helped!
Related Questions
Record 3 2/25 as a decimal. Please help!!!!!
Answers
Answer:
1.28 is the decimal form
Step-by-step explanation:
and 128/100 or 128% is the percentage for 32/25.
// have a great day //
3+2/25
= 3.08
= 308%
Drag each label to the correct location on the table. Each label can be used more than once, but not all labels will be used.
Simplify the given polynomials. Then, classify each by its degree and number of terms.
Answers
Answer:
The answers to your questions are given below.
Step-by-step explanation:
Polynomial 1:
12x² + 23x – 2
Name by degree: Quadratic because the highest power in the equation is 2.
Polynomial 2:
7x + 2
Name by number of terms: Binomial because the equation has two terms
Polynomial 3:
12
Name by degree: Constant because it has no variable
Name by number of terms: Monomial because it has only one term.
b. What value of x will make the equation f(x) = 22 true?
Answers
Please Help!!!! The screenshot is down below!!!
Answers
Answer:
2
Step-by-step explanation:
if I counted right there are 23 data points in this set 2 's are in the center
Put in descending order
1/4, 0.4, 21%, 0.34, 3/100
Answers
Answer: So greatest to least would be 0.4, 0.34, 1/4 21%, and 3/100 for the least
Step-by-step explanation:
1/4=0.25
0.4=0.40
21%=0.21
0.34=0.34
3/100=0.03
- 1/4 = 0.25
- 0.4 = 0.4
- 21% = 0.21
- 0.34 = 0.34
- 3/100 = 0.03
Now, we can arrange them in descending order:
0.4, 0.34, 0.25, 0.21, 0.03
Therefore, the numbers in descending order are: 0.4, 0.34, 0.25, 0.21, 0.03.
Mrs. Klein was shopping for her family. She saw that blueberries were on sale. The Kroger brand was $3.75 with 15% off. The regular brand was 2 for $6.25. If she wanted to buy 2 containers of blueberries, which is the better deal?
a Kroger Brand
bRegular Brand
Answers
Thus, the price of regular brand blueberries is less than the Price of 2 container of Kroger brand blueberries. Hence, Regular Brand is better deal.
Define about the 2-variable linear equation?A linear equation with two variables is shown by the equation axe + by = r if a, b, and r are all real values and they are not equal to 0. The equation's two variables are represented by the letters x and y. The coefficients are denoted by the numerals a and b.
Given data:
Price of 1 container of Kroger brand blueberries with discount: 3.75 with 15% off.
= 3.75 - 0.15*3.75
= 3.1875
Price of 1 container of Kroger brand blueberries: $3.1875
Price of 2 container of Kroger brand blueberries:
= 3.1875 * 2
= $6.375
Now,
Price of 2 container of regular brand blueberries: $6.25
Thus, the price of regular brand blueberries is less than the Price of 2 container of Kroger brand blueberries. Hence, Regular Brand is better deal.
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What is the solution to this system of linear equations?
2%. + 3y = 3
7x-3y = 24
O (
27)
(3,-21)
O (3-1)
19.0
Answers
Answer:
(3,-1)
Step-by-step explanation:
2x + 3y = 3 -----------(I)
7x - 3y = 24 ----------(II)
Add equation (I) & (II) and y will be eliminated and we can find the value of 'x'
(I) 2x + 3y = 3
(II) 7x - 3y = 24 {Add}
9x = 27 {Divide both sides by 9}
x = 27/9
x = 3
Plugin x = 3 in equation (I)
2*3 + 3y = 3
6 + 3y = 3
Subtract 6 from both sides
3y = 3 - 6
3y = -3
Divide both sides by 3
y = -3/3
y = -1
HELP 50 PTS Solve the following compound inequality: −2(x + 4) + 10 < x − 7 or −2x + 9 > 3(x + 8)
Answers
Answer:
x > 3 or x < - 3Given equations:
−2(x + 4) + 10 < x − 7or
−2x + 9 > 3(x + 8)Solve each inequality:
−2(x + 4) + 10 < x − 7 -2x - 8 + 10 < x - 7-2x - x < -7 - 2-3x < -93x > 9x > 3or
−2x + 9 > 3(x + 8)-2x + 9 > 3x + 24-2x - 3x > 24 - 9-5x > 155x < -15x < - 3#1
\(\\ \sf{:}\!\implies -2(x+4)+10<x-7\)
\(\\ \sf{:}\!\implies -2x-8+10<x-7\)
\(\\ \sf{:}\!\implies x+2x>2+7\)
\(\\ \sf{:}\!\implies 3x>9\)
\(\\ \sf{:}\!\implies x>\dfrac{9}{3}\)
\(\\ \sf{:}\!\implies x>3\)
#2
\(\\ \sf{:}\!\implies -2x+9>3(x+8)\)
\(\\ \sf{:}\!\implies -2x+9>3x+24\)
\(\\ \sf{:}\!\implies -2x-3x>24-9\)
\(\\ \sf{:}\!\implies -5x>15\)
\(\\ \sf{:}\!\implies x>\dfrac{15}{-5}\)
\(\\ \sf{:}\!\implies x>-3\)
Choose the best estimate for the weight of a cantaloupe. Responses A 2 decigrams2 decigrams B 2 kilograms2 kilograms C 2 grams2 grams D 2 milligrams
Answers
The best estimate for the weight of a cantaloupe is 2 kilograms (B).
A decigram is 1/10th of a gram, which would be too small of weight for a cantaloupe. 2 grams (C) is also too small for a cantaloupe as it would only be the weight of a few small seeds. 2 milligrams (D) is an extremely small weight, only suitable for a single grain of salt or a tiny insect.
Therefore, 2 kilograms (B) is the most reasonable estimate for the weight of a cantaloupe as it falls within the typical range of cantaloupe weights.
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Complete Question:
Choose the best estimate for the weight of a cantaloupe. Responses
A 2 decigrams
B 2 kilograms
C 2 grams
D 2 milligrams
The box plot represents the distribution of the number of points scored by a cross country team at 12 meets.
22 24 26 28 30 32 34 36 38 40 42
points
If possible, find the mean. If not possible, explain why not.
Answers
Answer:It is not possible
Step-by-step explanation: It is not possible because we need 12 plot to solve for an accurate mean but there is only 11 data which is impossible.
help i’ll give brainliest
Answers
I think that is proportional
First to answer
Answer:
The answer is proportional! The pricing is consistent!
5/2 = 2.5
2.5* 3 = 7.5
a health club membership costs $15 per month. (a) what is the linear monthly revenue function r(x) for the health club?
Answers
The linear monthly revenue function r(x) for the health club is r(x) = 59 + 15m
A membership fee or service cost is frequently structured so that it consists of a set component and a variable component, the latter of which frequently changes depending on how much "time" is spent using the service.
Consequently, one can write the equation for such a model as C = A+Bx
According to the question,
For a one-time price of $59.00 plus a monthly fee of $15.00, a health club offers membership.
Let variable r(x) be revenue function for health club
The linear monthly revenue function r(x) for the health club = r(x) = 59 + 15m
"m" denotes the months
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After training a logistic regression model to predict malignant vs. benign tumors from medical images, we apply the model to make a prediction on a new observation. The output of the sigmoid function is 0.64. What category does our model predict for this new observation
Answers
Since the output of the sigmoid function is 0.64, the predicted probability of the observation being malignant is 0.64. We need to set a threshold probability to classify the observation as malignant or benign.
If we set the threshold probability at 0.5, the observation would be classified as malignant, since the predicted probability (0.64) is greater than the threshold probability. However, the choice of threshold probability depends on the specific problem and the costs associated with false positives and false negatives. So, the predicted category would be malignant if the threshold probability is set at 0.5.
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For her birthday, Bonnie's parents gave her $5,425.00 which they put into a savings account that earns 15% interest compounded annually. When Bonnie started college, she withdrew the entire balance of $16,642.00 and used it to pay for tuition. How long was the money in the account?
Answers
Answer:
15% of $5425.00 = 5425 x- 15% = 813.75
$16,642.00 ÷ 813.75 = 20.3 = 20
So approx. 20 years
Step-by-step explanation:
5,425 + 4,611.25 = 10,036.25 (one year)
10,036.25 + 4,611.25 = 14,647.50 (2 years)
Probably like 2 years and 4 months lol
If A and B are any two events defined on a sample space S of an experiment, then p(A ∩ B) = p(A).p(B)
True or False
Answers
The statement is True only for independent events and False otherwise. The statement "p (A ∩ B) = p(A). p(B)" is not always true for any two events A and B defined on a sample space S of an experiment.
This equation only holds true if A and B are independent events, meaning that the occurrence of one event does not affect the probability of the other event happening. In other words, p(A|B) = p(A) and p(B|A) = p(B).
If A and B are dependent events, meaning that the occurrence of one event affects the probability of the other event happening, then the equation does not hold true. In this case, the probability of A and B occurring together (p(A ∩ B)) would be less than the product of the probabilities of A and B occurring separately (p(A).p(B)).
Therefore, the statement is not always true and depends on whether A and B are independent or dependent events.
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1 2) Simplify x^-6 * x^2
Answers
hello
to solve this question, we can simply use laws of indicies on it
\(a^m\times a^n=a^{m+n}\)so going by that, we can use this template to solve our problem
\(x^{-6}\times x^2=x^{-6+2}=x^{-4}=\frac{1}{x^4}\)from the calculation above, the answer to this question is 1 / x^4 and this corresponds to option D
the big box (made up of 5 small boxes) on the ecg paper measures:
Answers
When we measure a ECG waveform the large boxes represents 0.2 seconds.
To determine the measurements of the big box on ECG paper, we need to consider the standard calibration of ECG paper.
In most ECG papers, the standard calibration is as follows:
The horizontal distance (width) of a big box is typically 0.20 seconds.The vertical distance (height) of a big box is typically 0.5 millivolts (mV).
These measurements allow for accurate interpretation of the ECG waveform and analysis of heart activity.
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Dorothy is trying to estimate 20. She uses this table of values:
Square 4.02 4.12 4.22 4.32 4.42 4.52
Value
16.0 16.8 17.6 18.5 19.4 20.3
Square 4.62 4.72 4.82 4.92 5.02
Value
21.2 22.1 23.0 24.0 25.0
What should she do next to find 20 to the nearest hundredth?
O A. She should estimate that 20 is 4.50.
B. She should find the average of 4.4 and 4.5.
O C. She should find the squares of numbers between 4.5 and 4.6.
D. She should find the squares of numbers between 4.4 and 4.5.
Answers
Answer:
D
Step-by-step explanation:
im taking the test for math on apex
Answer:
Step-by-step explanation:
The nice correct answer is D your welcome
What is 2.58333333333 as a fraction?
Answers
Answer:
2 583/1000
Step-by-step explanation:
Answer
To write 2.58333333333 as a fraction you have to write 2.58333333333 as numerator and put 1 as the denominator. Now you multiply numerator and denominator by 10 as long as you get in numerator the whole number.
2.58333333333 = 2.58333333333/1 = 25.8333333333/10 = 258.333333333/100 = 2583.33333333/1000 = 25833.3333333/10000 = 258333.333333/100000 = 2583333.33333/1000000 = 25833333.3333/10000000 = 258333333.333/100000000 = 2583333333.33/1000000000 = 25833333333.3/10000000000 = 258333333333/100000000000
And finally we have:
2.58333333333 as a fraction equals 258333333333/100000000000
we want to find a 95% confidence interval for the standard deviation of a large dataset, given a sample. can the bootstrap method be used? group of answer choices
Answers
The Bootstrap Method is straightforward and straightforward to comprehend. First, it chooses randomly from the original sample to produce bootstrap samples from our initial sample.
After that, it uses summary statistics like variation, standard deviation, mean, and so on to get replicates, which is how we can calculate a confidence interval from that sample.
Thus, the answer is "Yes."
The bootstrap method is a resampling method that uses replacement sampling to estimate population statistics. It can be used to estimate standard deviation and mean summaries.
Which scenarios call for the use of bootstrapping?Remember that bootstrapping isn't only valuable for computing standard blunders, it can likewise be utilized to build certainty spans and perform speculation testing. When working with data that doesn't seem to lend itself to conventional methods, always remember bootstrapping techniques.
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Full Question = We want to find a 95% confidence interval for the standard deviation of a large dataset, given a sample.
Can the bootstrap method be used?
Group of answer choices
yes
no
A panther runs at the speed of 80 km/h. What distance will it cover in 90 min?
Answers
Answer:
120 km
distance = speed * time
90 minutes can be converted to 1.5 hours
speed given 80 km/h and time given 1.5 hours
so distance = 80 * 1.5 = 120 km
Answer:
The panther will run 120 km in 90 mins
Step-by-step explanation:
An hour is 60 mins and you know in 1 hour the panther can run 80km
all you need to do is figure out how many miles an xtra 30 mins will be
60 minutes divided by 2 = 30 minutes and 80 km divided by 2 = 40km
Therefore 30 minutes = 40km
just add this to the original statement and you're good
60 mins + 30 mins = 90 mins
80km + 40km = 120km
The panther will run 120km in 90 mins
when selecting one card from a standard deck, what is the probability of selecting a jack and a club?
Answers
Thus, there is a 1.96% chance of selecting the jack of clubs when drawing a single card from a standard deck.
The probability of selecting a jack and a club from a standard deck of 52 cards can be calculated by first determining the number of jacks and clubs in the deck. There are four jacks and 13 clubs in a standard deck, so the probability of selecting a jack and a club would be the product of the probability of selecting a jack (4/52) and the probability of selecting a club (13/51).
This can be written as:
P(jack and club) = P(jack) * P(club|jack not drawn)
= (4/52) * (13/51)
Simplifying this equation, we get:
P(jack and club) = 1/13 * 13/51
= 1/51
Therefore, the probability of selecting a jack and a club from a standard deck of 52 cards is approximately 0.0196 or 1.96%. This means that for every 51 times you draw a card from the deck, you can expect to get a jack and a club only once.
It's worth noting that the probability of selecting any two specific cards from a standard deck is the same, regardless of whether they are a jack and a club or any other combination.
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The total cost of the dinner is found by adding the two prices together. Then this sum is multiplied by 1.05, which is 100% + 5%, to get a cost of $11.72.
Answers
Answer:
2( 4 + 2X) = 3x + 4
8 + 4x = 3x + 4
8 + 4x - 3x - 4 = 0
x + 4 = 0
x = -4
Step-by-step explanation:
Which decimal is greater than 3.18?
A) 3.08
B) 3.32
C) 3.12
D) 2.88
Answers
Answer:
hello
3.32 > 3.18
Step-by-step explanation:
75% of b is 11 what is b
Answers
Answer:
14.67
Step-by-step explanation:
The approximate line of best fit for the given data points, y = −2x − 2, is shown on the graph.
A graph shows the horizontal axis numbered negative 5 to positive 5 and the vertical axis numbered negative 5 to positive 5. Points and a line show a downward trend.
Which is the residual value when x = –2?
–2
–1
1
2
Answers
Based on the line of best fit being y = −2x − 2, the residual value when x = -2 is -2.
What is the residual value of this line of best fit?The residual value is found as:
= Actual y - Predicted y
The actual y is shown to be 0 when x = -2.
The predicted value is:
= -2 x (-2) - 2
= 2
Residual value is:
= 0 - 2
= -2
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Answer:
A.) -2
Step-by-step explanation:
got it right on edge 2022
2/3x +14 -3x >4-3x-7
Answers
Answer:
2
3
x
+
14
−
3
x
>
4
−
3
x
7
Write the problem as a mathematical expression.
2
3
x
+
14
−
3
x
>
4
−
3
x
7
Graph each side of the equation. The solution is the x-value of the point of intersection.
x
≈
−
1.23527136
Find the domain of
2
3
x
−
3
x
+
10
+
3
x
7
.
Tap for more steps...
(
−
∞
,
0
)
∪
(
0
,
∞
)
Use each root to create test intervals.
x
<
−
1.23527136
−
1.23527136
<
x
<
0
x
>
0
Choose a test value from each interval and plug this value into the original inequality to determine which intervals satisfy the inequality.
Tap for more steps...
x
<
−
1.23527136
False
−
1.23527136
<
x
<
0
True
x
>
0
True
The solution consists of all of the true intervals.
−
1.23527136
<
x
<
0
or
x
>
0
The result can be shown in multiple forms.
Inequality Form:
−
1.23527136
<
x
<
0
or
x
>
0
Interval Notation:
(
−
1.23527136
,
0
)
∪
(
0
,
∞
)
image of graph
You own a life insurance company called PeaceOfMind. PeaceOfMind offers only one type of insurance policy that works in the following way. Each policyholder pays PeaceOfMind a fixed "premium" of GHSX per year, starting (for the sake of simplicity) from birth until death. In turn, PeaceOfMind pays each policyholder’s family a "pay-out" of GHS1 million upon the policyholder’s death. The database shows that 60% of PeaceOfMind’s policyholders are male, and 40% are female. Actuarial studies have shown that in this country a man’s life expectancy (also called lifespan) obeys a Normal distribution with mean 75 years and standard deviation 8 years, a women’s life expectancy obeys a Normal distribution with mean 78 and standard deviation 6 years, and all individuals’ life expectancies are independent of one another. Suppose that PeaceOfMind’s policyholders have the same life expectancy distributions as the population of the entire country. PeaceOfMind is not allowed to charge different premiums to men and women because doing so would violate anti-discrimination laws.
c What is the probability that a randomly selected policyholder (who could be either male or female) lives for more than 80 years?
d) A MALE policyholder just turned 80 years old today. Given this fact, what is the probability that he will live for at least three more years?
Answers
(a) The probability that a randomly selected policyholder lives more than 80 years is approximately 0.3106. (b) Given that a male policyholder just turned 80, the probability that he will live for at least three more years is approximately 0.6166.
(a) To find the probability that a randomly selected policyholder lives more than 80 years, we need to calculate the cumulative probability of survival beyond 80 for both males and females separately, and then weigh them based on the gender distribution.
For males: Using the normal distribution with mean 75 and standard deviation 8, we find the probability of survival beyond 80 is approximately 0.3446.
For females: Using the normal distribution with mean 78 and standard deviation 6, we find the probability of survival beyond 80 is approximately 0.2847.
The weighted probability for a randomly selected policyholder is (0.60 * 0.3446) + (0.40 * 0.2847) = 0.3106.
(b) Given that a male policyholder just turned 80 years old today, we can use conditional probability to calculate the likelihood of him living for at least three more years.
Using the normal distribution with mean 75 and standard deviation 8, the probability of survival beyond 83 (80 + 3) is approximately 0.8621.
Therefore, the probability that a male policyholder, who just turned 80, will live for at least three more years is 0.8621.
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In 5-7 complete sentences, write a real world situation that can be modeled by the equation. 3x = 5x + 10
Answers
A grocery store owner is planning a display by stacking cans of soup in a pyramid. The top row of the stack will have 1 can, the row underneath it will have 3 cans, the row underneath it will have 5 cans, and so on. If the owner wants the display to have a total of 12 rows, then how many cans will he need?
Answers
Answer:
144?
Step-by-step explanation:
1+3+5+7+9+11 blah blah blah...
1+3+5+7+9+11+13+15+17+19+21+23 which gives 144.