The probability that Juan will choose a kind of plant his mother would want is 6/30, which is equal to 0.2 or 20%
To calculate the probability that Juan will choose a kind of plant his mother would want, out of 30 plants, six of them are a kind that his mother would want, first divide the number of plants his mother would want (6) by the total number of plants (30). This will give you a decimal, 0.2. To turn this decimal into a percent, multiply it by 100. This will give you 20%, or a 20% chance of Juan choosing a kind of plant his mother would want. To summarize, therefore, the probability that Juan will choose a kind of plant his mother would want is 0.2 or 20%.
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solve for z: -4 - (z - 6) = 12
Answer:
z = -10
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDASEquality PropertiesStep-by-step explanation:
Step 1: Define equation
-4 - (z - 6) = 12
Step 2: Solve for z
Distribute negative: -4 - z + 6 = 12Combine like terms: -z + 2 = 12Subtract 2 on both sides: -z = 10Divide -1 on both sides: z = -10Step 3: Check
Plug in z to verify it's a solution.
Substitute: -4 - (-10 - 6) = 12Subtract: -4 - (-16) = 12Simplify: -4 + 16 = 12Add: 12 = 12Here we see that 12 does indeed equal 12.
∴ z = -10 is a solution of the equation.
Answer:
z = -10
Step-by-step explanation:
-4 -(z+6)=12
2-z=12
-z =12-2
ans= z = -10
1. Trig Function
2. Coordinate value (x, y)
3. Value in terms of sinθ and/or cosθ
sinθ = _________________
cosθ = _________________
secθ = _________________
cscθ = _________________
tanθ = _________________
cotθ = _________________
The values of the given trig functions in terms of sinθ and/or cosθ are:
sinθ = tanθ.cosθ
cosθ = sinθ/tanθ
secθ = 1/cosθ
cscθ = 1/sinθ
tanθ = sinθ/cosθ
cotθ = cosθ/sinθ
Trigonometric functionsFrom the question, we are to determine the values of the given trig functions in terms of sinθ and/or cosθ
sinθNOTE: tanθ = sinθ / cosθ
∴ sinθ = tanθ.cosθ
cosθFrom above, we can write that
cosθ = sinθ/tanθ
secθSecant is the inverse of cosine
∴ secθ = 1/cosθ
cscθ (cosecθ)Cosecant is the inverse of sine
∴ cscθ = 1/sinθ
tanθtanθ = sinθ/cosθ
cotθCotangent is the inverse of tangent
∴ cotθ = 1/tanθ
But, tanθ = sinθ/cosθ
∴ cotθ = cosθ/sinθ
Hence, the values of the given trig functions in terms of sinθ and/or cosθ are:
sinθ = tanθ.cosθ
cosθ = sinθ/tanθ
secθ = 1/cosθ
cscθ = 1/sinθ
tanθ = sinθ/cosθ
cotθ = cosθ/sinθ
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The proof that ΔACB ≅ ΔECD is shown.
Given: AE and DB bisect each other at C.
Prove: ΔACB ≅ ΔECD
Triangles A B C and C D E share common point C.
A flow chart has 5 boxes with arrows facing downward connecting the boxes. Each of the boxes are labeled. Box 1 contains line segment A E and line segment B E bisect each other at C and is labeled given. Box 2 contains line segment A C is-congruent-to line segment E C and is labeled definition of bisector. Box 3 contains question mark and is labeled vertical angles theorem. Box 4 contains line segment D C is-congruent-to line segment B C and is labeled definition of bisector. Box 5 contains triangle A C B is-congruent-to triangle E C D and is labeled SAS.
What is the missing statement in the proof?
∠BAC ≅ ∠DEC
∠ACD ≅ ∠ECB
∠ACB ≅ ∠ECD
∠BCA ≅ ∠DCAThe proof that ΔACB ≅ ΔECD is shown.
Given: AE and DB bisect each other at C.
Prove: ΔACB ≅ ΔECD
Triangles A B C and C D E share common point C.
A flow chart has 5 boxes with arrows facing downward connecting the boxes. Each of the boxes are labeled. Box 1 contains line segment A E and line segment B E bisect each other at C and is labeled given. Box 2 contains line segment A C is-congruent-to line segment E C and is labeled definition of bisector. Box 3 contains question mark and is labeled vertical angles theorem. Box 4 contains line segment D C is-congruent-to line segment B C and is labeled definition of bisector. Box 5 contains triangle A C B is-congruent-to triangle E C D and is labeled SAS.
What is the missing statement in the proof?
∠BAC ≅ ∠DEC
∠ACD ≅ ∠ECB
∠ACB ≅ ∠ECD
∠BCA ≅ ∠DCA
Answer:
C. angle ACB is congruent to angle ECD
Step-by-step explanation:
If you drew it out, all you had to figure out from the proof was what a vertical angle is and where are those angles.
Brainliest?
Hope this helps.
Just took the test edu2020
Congruent triangles are similar triangles.
The statement that completes the proof is \(\mathbf{\angle ACB \cong ECD}\)
From the complete question (see attachment), we have the following highlights
\(\mathbf{AC\cong CE}\).\(\mathbf{BC\cong CD}\)The angle at point C of both triangles are congruent
i.e. \(\mathbf{\angle ACB \cong ECD}\)
This means that the missing statement of the proof is that the angles at C of both triangles are congruent.
Hence, the statement that completes the proof is \(\mathbf{\angle ACB \cong ECD}\)
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Given the conditional relative frequency table by column, what does the 0.14 represent? given that a student is a 10th grader, there is a 14% chance he or she has a job. given that a student has a job, there is a 14% chance he or she is a 10th grader. 14% of the students surveyed are 10th graders who have a job. 14% of the students are 10th graders.
The first option is correct because 0.14 represents that if a student is a 10th grader, there is a 14% chance he or she has a job.
What is a conditional relative frequency table?It is a special type of frequency table that shows relationships between two categories.
From the given table it is clear that 0.14 is the probability of getting a job if a student is a 10th grader,
Option B is incorrect, stating there is a 14% chance a student is a 10th grader if he/she has had a job because we do not know the number of students.
Option C is also incorrect stating that 14% of the students surveyed are 10th graders who have a job because we do not know the total number of students.
Option D is also incorrect because we do not know the number of students.
Therefore, First option is correct because 0.14 represents that if a student is a 10th grader, there is a 14% chance he or she has a job.
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Answer:
A. Given that a student is a 10th grader, there is a 14% chance he or she has a job.
Step-by-step explanation:
Determine the amplitude of the function y = negative one-half cosine x. On a coordinate plane, a function curves up from (0, negative 0.5) through (1.5, 0) to (3, 0.5). a. -1 c. One-half b. -Negative one-half d. 2
Step-by-step explanation:
The amplitude is the value that the cosine is being multiplied by.
The general equation of a sinusoid is
\( a \cos(b(x + c) ) + d\)
where a is the amplitude
\( \frac{2\pi}{ |b| } \)
is the period
-c is the phase shift
d is the midline(vertical shift)
Here the amplitude is -1/2 so b is the correct answer.
Answer:
the amplitude of the function that is y= -1/2 cos x, is 1/2.
Step-by-step explanation:
3x + 5 = 6x – 13
please please help!
Answer:
Simplifying
3x + -5 = 6x + -13
Reorder the terms:
-5 + 3x = 6x + -13
Reorder the terms:
-5 + 3x = -13 + 6x
Solving
-5 + 3x = -13 + 6x
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-6x' to each side of the equation.
-5 + 3x + -6x = -13 + 6x + -6x
Combine like terms: 3x + -6x = -3x
-5 + -3x = -13 + 6x + -6x
Combine like terms: 6x + -6x = 0
-5 + -3x = -13 + 0
-5 + -3x = -13
Add '5' to each side of the equation.
-5 + 5 + -3x = -13 + 5
Combine like terms: -5 + 5 = 0
0 + -3x = -13 + 5
-3x = -13 + 5
Combine like terms: -13 + 5 = -8
-3x = -8
Divide each side by '-3'.
x = 2.666666667
Simplifying
x = 2.666666667
Step-by-step explanation:
Answer:
x = 6
Step-by-step explanation:
20 PTS PLEASE HELP ASAP!
Answer:
Slope is 1/2
Step-by-step explanation:
Use the slope formula. Say S = the 1st point and T = the 2nd point.
m = 20 - 10 10 1
------------ = ----------- = ---
20 - 0 20 2
The equation for slope is also y = mx + b
m is the slope, b is the y-intercept.
Therefore, if you look at the 1st choice, you can see that 1/2 is in the place of m, meaning that 1/2 is the slope of line ST
I dunno how to do the other way
The daily water intake for a female is about 2. iters per day. How
much water should a young lady drink per day in cups?
1.06 qts = 1 L, 4 cups = 1 qt
Answer:
1 liter
Step-by-step explanation:
hope this helps!
Evaluate the following expressions given x=6 and y=-3
a.
\( \purple{5 \times 6 - 4 \times ( - 3)}\)
\( = 30 + 12\)
\( \blue{ = \boxed{42}}\)
b.
\( \purple{ {6}^{2} + \frac{6}{ - 3} }\)
\( = 36 - 2\)
\( \blue{ = \boxed{34}}\)
c.
\( \purple{(6 - 5 {)}^{3} + {( - 3)}^{2} }\)
\( = {1}^{3} + 9\)
\( = 1 + 9\)
\( \blue{ = \boxed{10}}\)
=============================Hope it helps
=============================Suriland cannot both export wheat and keep bread plentiful and affordable in Suriland. Accordingly, Suriland's wheat farmers are required to sell their crop to the government, which pays them a dollar per bushel less than the price on the world market. Therefore, if the farmers could sell their wheat on the world market, they would make a dollar per bushel more, less any additional transportation and brokerage costs they would have to pay.
Which of the following, if true, most seriously weakens the argument?
(A) Suriland's wheat farmers have higher production costs than do farmers in many other wheat-producing countries.
(B) Sale of a substantial proportion of Suriland's wheat crop on the world market would probably depress the price of wheat.
(C) The transportation and brokerage costs that Suriland's farmers would face if they sold their wheat outside Suriland could amount to almost a dollar per bushel.
(D) Suriland is surrounded by countries that do not import any wheat.
(E) The price of a bushel of wheat on the world market occasionally drops below the average cost of producing a bushel of wheat in Suriland.
Answer:
the most accurate argument is (C) The transportation and brokerage costs that Suriland's farmers would face if they sold their wheat outside Suriland could amount to almost a dollar per bushel.
Step-by-step explanation:
The cost of transportation and other logistics is being covered by the government that is why the government pay less than dollar per bushel.
so the price of the wheat would have to decrease at home so that the cost of the transportation can be covered by the government who are buying directly from the farmers.
6 ÷ (–3) + [(4 – (–5)) × (–7)]
answer please
the first step in simple regression analysis usually is to group of answer choices build the model find the slope construct a scatter plot find the unexplained variation
The correct answer is: Construct a scatter plot.The first step in simple regression analysis is to construct a scatter plot.
A scatter plot is a graphical representation of the relationship between two variables, often referred to as the independent variable (X) and the dependent variable (Y).
The scatter plot allows us to visually examine the pattern of the data points and determine whether there is a linear relationship between the variables.
After constructing the scatter plot, we can analyze the pattern and determine if there is a linear trend.
If a linear trend is observed, we can then proceed with building the regression model, finding the slope (also known as the regression coefficient), and assessing the unexplained variation (also known as the residual variation).
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Is this function linear or non linear (look at photo)
Answer:
Linear
Step-by-step explanation:
The x value side goes up by 7 while y values are going down by 5. Its a constant proportionality of 7 and 5.
An interesting relationship in the population may fail to achieve ________ significance if there are too _______ observations
An interesting relationship in the population may fail to achieve statistical significance if there are too few observations or sample size is too small.
Statistical significance is a measure of the probability that the observed relationship between variables in a sample could have occurred by chance alone. When a relationship is statistically significant, it means that the probability of observing the relationship by chance is very low, typically less than 5% (p < 0.05).
However, if the sample size is too small, there may not be enough data to detect a real relationship between variables, even if it exists in the population. In such cases, the observed relationship may not be statistically significant, even though it is important and meaningful.
Increasing the sample size can help to increase the power of the analysis, making it more likely to detect a true relationship between variables. Thus, having a sufficiently large sample size is important for achieving statistical significance and for making reliable conclusions about the relationship between variables.
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Sarah has 43 bananas, she gives Steve 10. How many bananas does she have left?
Answer:
33
Step-by-step explanation:
43-10=33 sarah has 33 bananas ledt
for the equation: 6a-(2a+4)=11-3(a-2), what is the value of a ?
Answer:
a = 7/2
Step-by-step explanation:
Step 1: Write equation
6a - (2a + 4) = 11 - 3(a - 2)
Step 2: Solve for a
Distribute: 5a - 2a - 4 = 11 - 3a + 6Combine like terms: 3a - 4 = 17 - 3aAdd 3a to both sides: 6a - 4 = 17Add 4 to both sides: 6a = 21Divide both sides by 6: a = 7/2what is the probability of getting a score of 80% or higher on a 5-question truefalse quiz when guessing (with a 50-50 chance of being correct) on every question? what if instead the quiz has 20 questions?
The probability of getting a score of 80% or higher on a 5-question true/false quiz when guessing (with a 50-50 chance of being correct) on every question is 1/16, while the probability of getting a score of 80% or higher on a 20-question true/false quiz is 1/1048576.
What is the probability of getting a score of 80% or higher on a 5-question true/false quiz when guessing (with a 50-50 chance of being correct) on every question
A quiz consists of 5 questions. A student guesses each of the questions. The probability of guessing a question correctly is 0.5.
Therefore, the Probability of getting a score of 80% or higher is = Probability of getting 4 or 5 questions right. To get 4 out of 5, we have to consider all possibilities of choosing 4 out of 5 questions correctly. A number of ways of choosing 4 out of 5 questions correctly is 5.
A number of ways of guessing the 5 questions is 2^5.
Therefore, the probability of getting 4 out of 5 correct is 5/32. To get 5 out of 5, we have to consider only one possibility.
A number of ways of guessing 5 questions is 2^5.
Therefore, the probability of getting 5 out of 5 correct is 1/32.
So, the probability of getting a score of 80% or higher = Probability of getting 4 or 5
questions right = 5/32 + 1/32 = 6/32 = 3/16.
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What if instead, the quiz has 20 questions,
If the quiz has 20 questions, the probability of getting a score of 80% or higher is 1/2^20 = 1/1048576.
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Find the slope of the line through the given points . If the slope of the line is unrefined, state so(7,4) and (3,6)
Given the following question:
Point A = (7, 4) = (x1, y1)
Point B = (3, 6) = (x2, y2)
To find the slope use rise over run:
\(\begin{gathered} \frac{y2-y1}{x2-x1} \\ \frac{6-4}{3-7} \\ 6-2=2 \\ 3-7=-4 \\ \frac{2}{-4} \\ \frac{2}{-4}=-0.5 \\ m=-0.5 \end{gathered}\)m = -0.5
A new toy comes in the shape of a regular hexagonal pyramid. The base has side lengths of 10 inches and the apothem is 5√3 inches. If the surface area is 420 + 150√3 square inches, what is the slant height?
A. 11 inches
B. 14 inches
C. 7 inches
D. 28 inches
The slant height of the hexagonal pyramid is: B. 14 inches.
What is the Area of a Regular Hexagon?Area of a regular hexagon = 3√3/2(s²)
First, find the area of the regular hexagon:
Area = 3√3/2(s²) = 3√3/2(10²) = 150√3 in.².
Surface area is given as 420 + 150√3 in.².
Area of the 6 triangles = surface area - area of hexagonal base = 420 + 150√3 - 150√3
Area of the 6 triangles = 420 in.²
Area of 1 triangle = 420/6 = 70 in.²
Use the area of a triangle to find the slant height (h):
70 = 1/2(10)(h)
2(70) = 10(h)
140/20 = h
h = 14 in.
The answer is B. 14 inches.
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$43 dinner ; 18% gratuity
In a class of 19 students, 12 are female and 13 have an A in the class. There are 4 students who are male and do not have an A in the class. What is the probability that a student chosen randomly from the class does not have an A?
answer is
6/19
× whats the point of this
The likelihood of selecting a classmate at random who does not have an A is 6/19.
What is probability?Probability is a number that expresses the likelihood or chance that a specific event will take place. Both proportions ranging from 0 to 1 and percentages ranging from 0% to 100% can be used to describe probabilities.
To find the probability of a student not having an A, we need to first find the total number of students who do not have an A.
The number of students who have an A is 13, so the number of students who do not have an A is:
19 - 13 = 6
Out of these 6 students, 4 are male and 2 are female.
So, the probability of choosing a student randomly who does not have an A is:
P(not A) = number of students without an A / total number of students
P(not A) = 6 / 19
Therefore, the probability of choosing a student randomly from the class who does not have an A is 6/19.
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Petra buys a pair of jeans for $28.39 and a T-shirt that costs $6.40. How much does Petra spend?
Answer:
$21.99
Step-by-step explanation: $28.39
- $ 6.40
= $21.99
Can you pls help me
Answer:
I think the two answers would be A & D.
Explanation:
Sorry if I'm wrong.
Answer:
The answer is D
3x + 5 = 2(2x + 4)
What is the solve for x?
The value of x in the given equation 3x + 5 = 2(2x + 4) is x = -3.
How to solve the value of x in equation?
To "solve for x" is to determine the value of x in an equation with x as the only variable or with other variables, such as determining x in terms of y. L.H.S = R.H.S should result from finding the value of x and substituting it in the equation.Apply arithmetic operations to both sides of the equation to bring the variable to one side and all other values to the other side in order to find the value of x. To determine the outcome, simplify the values.3x + 5 = 2(2x + 4)
3x = 4x + 8 - 5
3x - 4x = 3
-x = 3
x = -3
Hence, the value of x in the given equation 3x + 5 = 2(2x + 4) is x = -3.
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33.33333333333 as a fraction?
Answer:
33/100
Step-by-step explanation:
Answer:
Step-by-step explanation:
3333333333333 / 100000000000
if your height is 5 feet 3 inches and your weight is 120 pounds, what is your bmi? round the answer to the nearest whole number.
If your height is 5 feet 3 inches and your weight is 120 pounds, then the BMI is 21.23
To calculate your Body Mass Index (BMI), use the following formula:
BMI = weight in kilograms / (height in meters)²
First, convert your height to meters :
5 feet 3 inches = 63 inches
63 inches = 160.02 cm
160.02 cm = 1.6002 meters
Next, convert your weight to kilograms :
120 pounds = 54.43 kg
Now, plug in these values to calculate your BMI:
BMI = 54.43 kg / (1.6002 meters)²
Divide the terms
BMI = 21.23
Therefore, your BMI is approximately 21.23
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A relationship where the minimum and maximum cardinality are both one is a(n) ________ relationship.
A relationship where the minimum and maximum cardinality are both one is a one-to-one relationship. This type of relationship means that each entity in one entity set is associated with only one entity in the other entity set, and vice versa.
One-to-one relationships are often used in database design to enforce uniqueness and prevent data redundancy. They are commonly used when one entity has a unique identifier that can only be associated with one other entity. For example, in a database for a hospital, each patient may have only one unique medical record, and each medical record may be associated with only one patient.
In contrast, a one-to-many relationship allows each entity in one entity set to be associated with multiple entities in the other entity set, but each entity in the other entity set can only be associated with one entity in the first entity set. A many-to-many relationship allows each entity in both entity sets to be associated with multiple entities in the other entity set.
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A relationship where the minimum and maximum cardinality are both one is a one-to-one relationship. This type of relationship means that each entity in one entity set is associated with only one entity in the other entity set, and vice versa.
One-to-one relationships are often used in database design to enforce uniqueness and prevent data redundancy. They are commonly used when one entity has a unique identifier that can only be associated with one other entity. For example, in a database for a hospital, each patient may have only one unique medical record, and each medical record may be associated with only one patient.
In contrast, a one-to-many relationship allows each entity in one entity set to be associated with multiple entities in the other entity set, but each entity in the other entity set can only be associated with one entity in the first entity set. A many-to-many relationship allows each entity in both entity sets to be associated with multiple entities in the other entity set.
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3. The carrying capacity of a drain pipe is directly proportional to the area of its cross- section. If a cylindrical drain pipe can carry 36 litres per second, determine the percentage increase in the diameter of the drain pipe necessary to enable it to carry 60 litres per second.
The percentage increase in the diameter of the drain pipe necessary to enable it to carry 60 litres per second is 28.87%.
Given that the carrying capacity is directly proportional to the area, we can write:
C1 ∝ A1 = πr₁²
Since the carrying capacity is directly proportional to the area, we have:
C2 ∝ A2 = πr₂²
To find the percentage increase in diameter, we need to find the ratio of the increased area to the initial area and then express it as a percentage. Let's calculate this ratio:
(A2 - A1) / A1 = (πr₂² - πr₁²) / (πr₁²) = (r₂² - r₁²) / r₁²
We can also express the ratio of the increased carrying capacity to the initial carrying capacity:
(C2 - C1) / C1 = (60 - 36) / 36 = 24 / 36 = 2 / 3
Since the area and the carrying capacity are directly proportional, the ratios should be equal:
(r₂² - r₁²) / r₁² = 2 / 3
Now, let's substitute r = D/2 in the equation:
((D₂/2)² - (D₁/2)²) / (D₁/2)² = 2 / 3
(D₂² - D₁²) / D₁² = 2 / 3
Cross-multiplying:
3(D₂² - D₁²) = 2D₁²
3D₂² - 3D₁² = 2D₁²
3D₂² = 5D₁²
Dividing by D₁²:
3(D₂² / D₁²) = 5
(D₂² / D₁²) = 5 / 3
Taking the square root of both sides:
D₂ / D₁ = √(5/3)
To find the percentage increase in diameter, we subtract 1 from the ratio and express it as a percentage:
Percentage increase = (D₂ / D₁ - 1) × 100
Percentage increase = (√(5/3) - 1) × 100
Percentage increase = 28.87%
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at the start of 2014 mikes car was worth 12000 thee value of the car decreased by 30% every year work out the value of his car at the start of 2017
Answer:
4116
Step-by-step explanation:
2014
12000÷10=1200 (10%)
1200x3=3600
12000-3600=8400
2015
8400÷10=840
840x3=2520
8400-2520=5880
2016
5880÷10=588
588x3=1764
5880-1764=4116
The area of a rectangle can be represented by the
expression 3x2 - 5x - 2. Which expression could
represent the length of one side?
O (3x + 2)
0 (x + 2)
o (3x - 1)
o(x-2)
Previous
Next
Answer:
x - 2
Step-by-step explanation:
3x² - 5x - 2
Factor the trinomial.
(3x + 1)(x - 2)
Answer: x - 2