5. m∠ABC = 64°
m∠CBD = 26°
6. Using the linear pair postulate,
m∠ABC = 97°
m∠CBD = 83°
7. Using the linear pair postulate,
m∠ABC = 112.5°
m∠CBD = 67.5°
How to Apply the Linear Angles Postulate?Two angles on a straight line form a linear pair which have a sum of 180 degrees based on the linear pair postulate.
5. (11x - 2) + (5x - 4) = 90 [complementary angles]
11x - 2 + 5x - 4 = 90
16x - 6 = 90
16x = 90 + 6
16x = 96
x = 6
m∠ABC = 11x - 2 = 11(6) - 2 = 64°
m∠CBD = 5x - 4 = 5(6) - 4 = 26°
6. 8x + 9 + 6x + 17 = 180 [linear pair postulate]
14x + 26 = 180
14x = 180 - 26
14x = 154
x = 11
m∠ABC = 8x + 9 = 8(11) + 9 = 97°
m∠CBD = 6x + 17 = 6(11) + 17 = 83°
7. 14x - 6.5 + 7x + 8 = 180 [linear pair postulate]
21x + 1.5 = 180
21x = 180 - 1.5
21x = 178.5
x = 8.5
m∠ABC = 14x - 6.5 = 14(8.5) - 6.5 = 112.5°
m∠CBD = 7x + 8 = 7(8.5) + 8 = 67.5°
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The length of a rectangle is 4 inches greater than twice the width. If the diagonal is 2 inches more than the length, find the dimensions of the rectangle.
The dimensions are 3 inches, 10 inches, and 13 inches.
How to compute the value?It should be noted that the diagonal is the longest side. This will be solved by using Pythagoras theorem.
Therefore,
(2x + 6)²
4x²+ 24x + 36
Reduce to lowest term
x² + 6x + 9
x² + 3x + 3x + 9
x(x + 3) - 3(x + 3)
(x - 3) = 0
x = 0 + 3 = 3
Therefore x = 3
Therefore the dimensions will be:
x = 3
2x + 4 = 2(3) + 4 = 10
2x + 6 = 2(3) + 6 = 12
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William sunk 25% of the shots he made on the basket. If he threw 80 shots, how many did he miss?
Answer:
Step-by-step explanation:
He missed 20 shots
Write 25% as 25100.
25100 of 80 = 25100 × 80.
Therefore, the answer is 20.
Answer:
60
plz mark me brainliest
Step-by-step explanation:
25% of 80 is 20 shots made plus 60 shots missed= 80 shots
the two main methods used in inferential statistics is estimation and hypothesis testing. group of answer choices true false
The statement "the two main methods used in inferential statistics is estimation and hypothesis testing." is True.
The two main methods used in inferential statistics are estimation and hypothesis testing.
Estimation involves using sample data to estimate the value of an unknown population parameter, such as the mean or standard deviation. The goal of estimation is to make inferences about a population based on a sample of data.
Hypothesis testing is a method used to make decisions about population parameters based on sample data. The goal of hypothesis testing is to determine whether a hypothesis about a population parameter is supported by the sample data, or whether there is enough evidence to reject the hypothesis.
In hypothesis testing, a null hypothesis is tested against an alternative hypothesis using a set of statistical tests and criteria. Both estimation and hypothesis testing play a crucial role in inferential statistics and are widely used in many fields, such as economics, psychology, biology, and others.
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Can someone please help me ASAP?? It’s due today!! I will give brainliest If It’s correct.
The correct option that indicates how Christa sliced the rectangular pyramid is the second option.
Christa sliced the pyramid perpendicular to its base through two edges.
What is a rectangular pyramid?A rectangular pyramid is a pyramid with a rectangular base and four triangular faces.
The height of the cross section indicates that the location where Christa sliced the shape is lower than the apex of the pyramid.
The trapezoid shape of the cross section of the pyramid indicates that the top and base of the cross section are parallel, indicating that Christa sliced the pyramid parallel to a side of the base of the pyramid, such that it intersects two of the edges of the pyramid
The correct option is therefore the second option;
Christa sliced the pyramid perpendicular to its base through two edges
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Graph the function f(x)= |x+1| +2.
Answer:
I have graphed it and attached in the explanation.
Step-by-step explanation:
Mrs. Ramirez is planning a family reunion and deciding where to buy food and drinks. She considers the information below. She expects 96 family members to attend. How much would it cost to buy 96 hotdogs purchased from Value Market? Show your work.
b) How much would 96 hotdogs cost from Sammy's Bulk Store? Show your work. Which store offers the better buy for bottled water? Explain your reasoning HELP ME PLEASE<3
a) The cost for 96 hotdogs from Value Market = $94.04.
b) The cost for 96 hotdogs from Sammy's Bulk Store = $75.84.
How did we get the values?a) The cost for 96 hotdogs from Value Market would be $96 x $0.99/hotdog = $94.04.
b) The cost for 96 hotdogs from Sammy's Bulk Store would be $96 x $0.79/hotdog = $75.84.
For bottled water, Sammy's Bulk Store offers the better buy, with $0.69/bottle, compared to Value Market's $0.99/bottle. The reasoning is that Sammy's Bulk Store has a lower price per bottle of water.
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Help me with answer asp
Answer:
picture #1 - 50.27 square units
picture #2 - 113.10 square units
picture #3 - 380.13 square units
Step-by-step explanation:
picture #1 - area = πr^2 -> π*4^2 = 50.27 square units
picture #2 - area = πr^2 -> π*6^2 = 113.10
picture #3 - area = πr^2 -> π*11^2 = 380.13
Use the graph shown to answer the question. What is the solution set for the inequality if log2(2x – 1) > 2?
Answer: B
(2.5, ∞)
Step-by-step explanation:
The solution set of the given logarithm inequality will be (2.5,∞).
What is a logarithm?The exponent indicates the power to which a base number is raised to produce a given number called a logarithm.
In another word, a logarithm is a different way to denote any number.
As per the given logarithm function,
log₂(2x - 1) > 2
By log property
2x - 1 > 2 x 2
2x > 4 + 1
x > 5/2
x > 2.5 so the solution set will be 2.5 < x < ∞ or (2.5,∞).
Hence "The solution set of the given logarithm inequality will be (2.5,∞)".
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The sum of two numbers is 25. Twice the first number minus the second is 6. Find the numbers.
Answer:
Step-by-step explanation:
x + y = 25
2x - y = 6 Solve for y in this the second equation. Add y to both sides
2x = 6 + y The ys on the left cancel. Subtract 6 from both sides.
2x - 6 = y
Put this value of y into the first equation
x + y = 25
x + 2x - 6 = 25 Combine on the left
3x - 6 = 25 Add 6 to both sides.
3x = 25 + 6 Combine the right
3x = 31 Divide by 3
x = 31 / 3
x = 10.333333
x + y = 25
10.33333 + y = 25 Subtract 10.33333
y = 25 - 10.333333
y = 14.666666
x + y = 25
10.33333 + 14.66666
25 approximately.
2x - y = 6
2*10.33333 - 14.66666
20.66666 - 14.66666
6
You should note that those numbers are repeating decimals
2x - 6 = y
The diameter of a circle is 4cm. Find it area to nearewt tenth.
Answer:
12.6cm
Step-by-step explanation:
12.6 cm²
Area formula: (A = πr²)
If the diameter is 4 cm.. then that would mean the radius is 2 cm because the radius is half of the diameter. So, we already know the radius.. we just have to find the circumference.
Circumference formula: (C = πd) or (C = 2πr)
Finding the circumference : 3.14 × 4 = 12.56 cm
So, we now have the radius and circumference.
Radius = 2 cm
Circumference = 12.56 cm
Finding the Area : 3.14 × 2 × 2 = 12.56 cm²
So, 12.56 rounded to the nearest tenth is 12.6 cm².
Hope this helped! :)
Laura’s profit at a bake sale is represented by the function p = 5b - 15, where p is the profit, and b is the number of brownies she sells. Nicole’s profit is shown in the table. How much will each girl make if she sells 6 brownies?
Answer:
$15Step-by-step explanation:
Given that the function for Laura's profit is
p = 5b - 15
where b= number of brownies
Given that she sold 6 brownies, we can estimate the profit.
to do this lets put b=6 in the expression for the profit we have
p = 5(6) - 15
p=30-15
p=15
Her profit will be $15
HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP
Answer:
54 units squared
Step-by-step explanation:
hope this helped!
pythagorean theorem
Answer:
53 cm
Step-by-step explanation:
the distance from opposite corners of the rectangle, divide the rectangle into 2 congruent right triangles with legs 45 and 28 and the diagonal (d) , the hypotenuse.
using Pythagoras' identity in one of the right triangles , then
d² = 45² + 28² = 2025 + 784 = 2809 ( take square root of both sides )
d = \(\sqrt{2809}\) = 53
the distance from corner to corner is 53 cm
Answer:
53
Step-by-step explanation:
u see this is how Pythagorean theorem works a^2 + b^2 = c^2 so yep thats how i got 53 i hope this helps please give brainliest have a good morning/afternoon/night have a great day!!! :D. THANK YOU FOR BRAINLIEST!!!!
Jane's school is due west of her house and due south of her friend Norma's house. The distance between the school and Norma's house is 8 kilometers and the straight-line distance between Jane's house and Norma's house is 9 kilometers. How far is Jane's house from school? If necessary, round to the nearest tenth.
Answer
Distance = 4.1 km
Explanation
Let the distance between Jane's house from school be x
The distance can be calculated using pythagora's theorem
\(\begin{gathered} \text{Hypotenus}^2=opposite^2+adjacent^2 \\ \text{Hypotenus = 9km, opposite = 8km and adjacent = x km} \\ 9^2=8^2+x^2 \\ \text{Isolate x}^2 \\ 81=64+x^2 \\ \text{Collect the like terms} \\ 81-64=x^2 \\ 17=x^2 \\ \text{Take the square roots of both sides} \\ \text{x = }\sqrt[]{17} \\ \text{x = 4.1 km} \end{gathered}\)Therefore, the distance between Jane's house from school is 4.1 km
PLEASE HELP!! 50 POINTS!!! Multiply the polynomials (3^2 − 5 + 7) and (2^2 + − 2). Simplify the answer. Show your work.
Answer:
Your answer is 22
Step-by-step explanation:
(3^2-5+7) = 11
2^2+-2 = 2
So 11*2 = 22
Hope this helps
Please help fast!
Solve 2/3x-1/5>1
X>?
Answer:
x > 9/5
Step-by-step explanation:
2/3 x - 1/5 > 1
15 × 2/3x - 15 × 1/5 > 15 × 1
10x - 3 > 15
10x > 18
x > 18/10
x > 9/5
100 points, brainliest, and multiple choice!!!!!!!!
Answer:
5-0 =15 by using shuvam theorY
2/3 dividido 1/3
A- 2/9
B- 3
C- 2
D- 1/2
Answer:
C
2/3 dividido 1/3 = 2
Step-by-step explanation:
Exponential functions in real life situation
Answer:
ANSWER IS-EXPONENTIAL IS LIFE BASED FUNCTION√Step-by-step explanation:
PLEASE HELP WILL GIVE BRAINLIST AND POINTS DUE IN 20 mins
Answer:
a.) 4
b.) 6
c.) 25
d.) 21
e.) 14
f.) 30
g.) 15
h.) 30
i.) 16
Step-by-step explanation:
Basically just find what factor the numerator or denominator is changing by, and apply it to the rest of the fraction. For example,
Given: 2/? = 10/20
Find: ?
We see that the numerator is being multiplied by 5 to get 10, so we simply divide 20 by 5 to get our answer of 4.
? = 4
Answer:
a) 4
b) 6
c) 25
d) 21
e) 14
f) 30
g) 15
h) 30
i) 49
Step-by-step explanation:
Sorry forgot to post the problem here it is
Answer:
55
Step-by-step explanation:
m angle A and m angle C are equal sine two of those sides are equal. You would do 3x + 40 = x +50
You subtract x, leaving it to be 2x + 40 = 50
Subtract the 40, leaving it be 2x = 10
Divide both sides by 2, which leaves x = 5
and then you would do 3(5) + 40, which is 55
Suppose the correlation between two variables is r = 0.23. What will the new correlation be if 0.14 is added to all values of the x-variable, every value of the y-variable is doubled, and the two variables are interchanged?
A. 0.23
B. 0.37
C. 0.74
D. -0.23
E. -0.74
Given that the correlation between two variables is r=0.23. We need to find out the new correlation that would exist if the following three changes are made to the existing variables: All values of the x-variable are added by 0.14. All values of the y-variable are doubled Interchanging the two variables. the correct option is B. 0.37.
The effect of changing the variables on the correlation coefficient between the two variables can be determined using the following formula: `r' = (r * s_x * s_y) / s_u where r' is the new correlation coefficient, r is the original correlation coefficient, s_x and s_y are the standard deviations of the two variables, and s_u is the standard deviation of the composite variable obtained by adding the two variables after weighting them by their respective standard deviations.
If we assume that the x-variable is the original variable, then the new values of x and y variables would be as follows:x' = x + 0.14 (since all values of the x-variable are added by 0.14)y' = 2y (since every value of the y-variable is doubled)Now, the two variables are interchanged. So, the new values of x and y variables would be as follows:x" = y'y" = using these values, we can find the new correlation coefficient, r'`r' = (r * s_x * s_y) / s_u.
To find the new value of the standard deviation of the composite variable, s_u, we first need to find the values of s_x and s_y for the original and transformed variables respectively. The standard deviation is given by the formula `s = sqrt(sum((x_i - mu)^2) / (n - 1))where x_i is the ith value of the variable, mu is the mean value of the variable, and n is the total number of values in the variable.
For the original variables, we have:r = 0.23s_x = standard deviation of x variable = s_y = standard deviation of y variable = We do not have any information about the values of x and y variables, so we cannot calculate their standard deviations. For the transformed variables, we have:x' = x + 0.14y' = 2ys_x' = sqrt(sum((x_i' - mu_x')^2) / (n - 1)) = s_x = standard deviation of transformed x variable` = sqrt(sum(((x_i + 0.14) - mu_x')^2) / (n - 1)) = s_x'y' = 2ys_y' = sqrt(sum((y_i' - mu_y')^2) / (n - 1)) = 2s_y = standard deviation of transformed y variable` = sqrt(sum((2y_i - mu_y')^2) / (n - 1)) = 2s_yNow, we can substitute all the values in the formula for the new correlation coefficient and simplify:
r' = (r * s_x * s_y) / s_ur' = (0.23 * s_x' * s_y') / sqrt(s_x'^2 + s_y'^2)r' = (0.23 * s_x * 2s_y) / sqrt((s_x^2 + 2 * 0.14 * s_x + 0.14^2) + (4 * s_y^2))r' = (0.46 * s_x * s_y) / sqrt(s_x^2 + 0.0396 + 4 * s_y^2)Now, we can substitute the value of s_x = s_y = in the above formula:r' = (0.46 * * ) / sqrt( + 0.0396 + 4 * )r' = (0.46 * ) / sqrt( + 0.1584 + )r' = (0.46 * ) / sqrt(r' = (0.46 * ) / sqrt(r' = (0.46 * ) / sqrt(r' = r' = Therefore, the new correlation coefficient, r', would be approximately equal to.
Hence, the correct option is B. 0.37.
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help.... please
I will mark as brainliest
Answer:
216 and 64
Step-by-step explanation:
Answer:
1 ) Yes
2) No
perfect cubes are 216 and 64
³√64=4 } not have fraction so it's perfect cubes
³√216=6 } not have fraction so it's perfect cubes
Hope this helps
T/F It is common to assess the performance of linear probability and logistic regression models on the basis of the Accuracy rates defined as the percentage of correctly classified observations
True, It is common to assess the performance of linear probability and logistic regression models on the basis of the Accuracy rates defined as the percentage of correctly classified observations
It is common to assess the performance of linear probability and logistic regression models using accuracy rates defined as the percentage of correctly classified observations. Accuracy is a widely used measure in classification tasks as it provides a straightforward and intuitive assessment of how well the model predicts the correct outcomes.
In linear probability models, the dependent variable is a binary variable (0 or 1) representing the outcome of interest. The model estimates the probability of the outcome being 1 based on the predictor variables. The predicted probabilities are then converted into predicted outcomes (0 or 1) using a cutoff value, often 0.5. The accuracy rate measures the percentage of correctly predicted outcomes against the actual outcomes.
In logistic regression models, which are specifically designed for binary outcomes, the predicted probabilities are obtained using the logistic function. Similar to linear probability models, the predicted probabilities are converted into predicted outcomes using a cutoff value. The accuracy rate is calculated by comparing the predicted outcomes to the actual outcomes.
While accuracy is commonly used, it is important to consider other performance metrics as well, depending on the specific context and objectives. For example, precision, recall, and the receiver operating characteristic (ROC) curve provide additional insights into the model's performance, particularly in situations with imbalanced datasets or when different costs are associated with false positives and false negatives.
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Please help with the question below
What is the volume of this sphere to the nearest hundredth?
PLEASE HELP!! Look at photo
Answer:
Step-by-step explanation:
The ratio would be 36:4. The bigger number is on either side but when it concludes "for" means it's a ratio.
A store sells grape jelly in 15-ounce jars for $13.59. Find the price per ounce
Answer:
91 cents per ounce
Step-by-step explanation:
Divide 13.59 by 15
Answer: $0.91
Step-by-step explanation:
Take $13.59 divided by 15 = $0.91 per ounce
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Please help
Which equations represent linear functions?
Select all that apply.
y=x(2x+4)
x=2y+4
y=x2−19
y=3x2 squared 2
x=y
Answer:
x = 2y+4
y = 3x2 squared 2
x = y
Step-by-step explanation:
What two numbers multiply to 7 and add up to -6?
Answer:
-7 and 1 multiply to 7 and add up to -6
Step-by-step explanation:
-7 and 1 multiply to 7 and add up to -6