Describe how to use a number line to find the sum of 5 + 13. Then use this method to find the sum.
Answer:
Start at 13, then count 5 more to the right. You will end at 18, which is your answer.
Step-by-step explanation:
Answer:
the anser is 18
Step-by-step explanation:
you would start at the mark that indicates 13 and go up or to the right 5 more marks or to whichever mark indicates 18
A fair die is thrown. What is the probability that the score is not a factor of 6?
0000
5/6
1/6
2/3
1/2
Answer:
\(\frac{1}{3}\) chance.
Step-by-step explanation:
The only factors of 6 on a die is 1, 2, 3, and 6
The chance of getting 4 or 5 (not factors of 6) is \(\frac{2}{6} =\frac{1}{3}\) chance.
(None of the options you gave is correct)
The probability of getting numbers which is not a factor of 6.
\(P(E)=\frac{2}{6}=\frac{1}{3}\)
To understand more, check below explanation.
Probability :The numbers on die which is factors of 6 is,
1,2,3,6
So that, numbers on die which is not factor of 6 is, 4 and 5.
We have to find probability that the score is not a factor of 6.
Total number of favorable outcomes = 2
Total outcomes = 6
Probability that the score is not a factor of 6,
\(P(E)=\frac{2}{6}=\frac{1}{3}\)
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in a certain city, the street blocks have a uniform size of 50 meters north-south by 250 meters east-west. if a typical neighborhood is two block east-west by three blocks north-south, how much area does it cover?
a typical neighborhood, which consists of two blocks east-west and three blocks north-south, covers an area of 75,000 square meters or 300,000 square meters.
The size of each street block is given as 50 meters north-south by 250 meters east-west. Therefore, the area of each block can be calculated as 50 meters * 250 meters = 12,500 square meters.To find the area covered by a typical neighborhood, which consists of two blocks east-west and three blocks north-south, we multiply the number of blocks in each direction. The neighborhood covers 2 blocks east-west * 3 blocks north-south = 6 blocks in total.
The total area covered by the neighborhood can be calculated by multiplying the number of blocks by the area of each block. Thus, 6 blocks * 12,500 square meters/block = 75,000 square meters.
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1. an amusement park has a collection of scale models, with ratio 1 : 20, of buildings and other sights from around the country. the height of the united states capitol is 289 feet. what is the height in feet of its replica to the nearest whole number?
Answer:
the replica is 14ft tall
Step-by-step explanation:
Solve for w: 7w≤ -42
Answer:
w≤−6
Step-by-step explanation:
Yur welcome :)
Answer:
w is less than or equal to -6.
Step-by-step explanation:
PLEEEEASE HELP!!!! WHO EVER IS BEST WILL BE BRAINLIEST!!!!!!!!!!!!!!!!
Answer:
Number 4 is H
Number 5 is B
Step-by-step explanation:
the rate of cost of petrol is decreased from rs 110 per litre to rs 104.50 per litre. by how many percent is cost decreased?
the cost is decreased by 5%.... ..
...
A bag of popcorn is placed in a microwave. After the first kernel pops, the number of kernels popped doubles every 30 seconds. If it takes exactly two minutes for every kernel in the bag to have popped, what would the time be on the microwave when 25% of the kernels have popped?
Let there be N number of kernels in the bag.
Given that the number o
will mark brainliest
Solve the inequality.
2(4+2x)≥5x+5
x≤−2
x≥−2
x≤3
x≥3
Answer: \(x\leq 3\)
PLEASE MARK ME BRAINLIEST
Step-by-step explanation:
1) Simplify both sides of the inequality:
\(4x+8\geq 5x+5\)
2) Subtract \(5x\) from both sides:
\(4x+8-5x\geq 5x+5-5x\)
3) Simplify:
\(-x+8\geq 5\)
4) Subtract \(8\) from both sides:
\(-x+8-8\geq 5-8\)
5) Simplify:
\(-x\geq -3\)
6) Divide both sides by \(-1\):
\(\frac{-x}{-1} =\frac{-3}{-1}\)
7) Simplify:
\(x\leq -3\)
Answer:
\(x\leq 3\)
Step-by-step explanation: Copied other guy mark him brainliest
Can you solve this ?
(-2)²+12(3) -4=?
Answer: is 36
Step-by-step explanation:
Answer and Step-by-step explanation:
First, we should simplify what is given by evaluating everything in the parenthesis and around the parenthesis.
(-2)² = 4
12(3) = 36
-4 = -4
Now, we combine.
4 + 36 - 4 = 36
The answer is 36.
#teamtrees #WAP (Water And Plant) #MerryChristmas
Eva is working out the area of a triangle . The base is 7.8 and the length of one side is 6.3 cm. I multiply and then divide by two. What mistake has eva made?
Answer:
Eva used a side dimension instead of the height.
Step-by-step explanation:
The base needs to be multiplied by the height, then the result needs to be divided by 2. Eva's mistake is using a side dimension instead of the height. Her approach only works for a right triangle.
Eva multiplied the base by the side height, not the actual height.
Step-by-step explanation:
The area of a triangle is b×h×½, or b×h÷2. Eva multiplied the length times one side, as it says in the problem. The actual height of the triangle we don't know, but we know that Eva multiplied the base, 7.8 cm, by the wrong height.
Hope this helps! (Plz give me brainliest, it will help me achieve my next rank.)
Solve :- Ques 5 ) (a) .
• Question refer to the attachment .
• Notes :
Need Genuine Answer .
Answer will be with Explanation .
Otherwise , spam answer will be report !!
Answer:
Hey There!
Let's solve...
We have
\( \angle \: odb = \angle \: cao \\ \\ \angle \: dbo = \angle \: aco \\ \\ \)
Using AA Criterion of Similarity we have
\( \triangle \: obd \: - \triangle \: oac \\ \\ \)
This implies that
\( \frac{od}{ob} = \frac{oa}{oc} \to \frac{6}{3 + 2 } \: or \: \frac{6}{5} = \frac{oa}{oc} \\ \\ \to \: oa = \frac{6}{5} oc \)
Now,
\(ab = ao - bo \\ \\ = \frac{6}{5}oc - bo = \frac{6}{5}(od - oc) \\ - bo \\ \\ = \frac{6}{5}(6 + 4cm) - 5cm \\ \\ = 7cm \)
Note:Every letters should be in capital, i don't have any option here so i can't do.
I hope it is helpful to you...Cheers!_________Find the equation of the parabola with focus at f(0 -4) and directrix x=4
The equation of the parabola with focus at f(0 -4) and directrix x = 4 is
y² = 16x.
Define parabola.A parabola is a quadratic function graph. A parabola, according to Pascal, is a circle's projection. Galileo demonstrated that projectiles falling under the influence of uniform gravity have a path known as a parabolic path. Many bodily motions follow a curvilinear route that is shaped like a parabola. In mathematics, a parabola is any mirror-symmetrical planar curve that has an approximate U shape. The goal of this section is to comprehend the derivation of a parabola's standard formula, the several standard forms of a parabola, and the properties of a parabola.
Given
Focus at f(0, -4)
Directrix x = 4
As we know, the equation of a parabola with focus (a, 0) and directrix x = a
y² = 4ax.
y² = 4(4)x
y² = 16x
The equation of the parabola with focus at f(0 -4) and directrix x = 4 is
y² = 16x.
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There are 42 runners in a race. How many different ways can the runners finish first, second, and third?
Answer:
There are 68,640 different ways the runners can finish first, second, and third in the race.
Concept of Permutations
The number of different ways the runners can finish first, second, and third in a race can be calculated using the concept of permutations.
Brief Overview
Since there are 42 runners competing for the top three positions, we have 42 choices for the first-place finisher. Once the first-place finisher is determined, there are 41 remaining runners to choose from for the second-place finisher. Similarly, once the first two positions are determined, there are 40 runners left to choose from for the third-place finisher.
Calculations
To calculate the total number of different ways, we multiply the number of choices for each position:
42 choices for the first-place finisher × 41 choices for the second-place finisher × 40 choices for the third-place finisher = 68,640 different ways.
Concluding Sentence
Therefore, there are 68,640 different ways the runners can finish first, second, and third in the race.
10, 20, 30, 40, ... as a sequence equation
Answer:
20 -10 = 10
30 -20 = 10
40 -10 = 30
50 -10 = 40
This is the pattern we will add 10 to 40 that is 50
Brainliest pls
In a room of 33 students, 12 are taking geogra-
phy, 14 are taking history, and 5 are taking both
geography and history. How many of these
students are not taking either geography or
history?
Answer:
2
Step-by-step explanation:
all of those equal 31
Answer:
31
Step-by-step explanation:
use the appropriate triangle or trigonometric identity to rewrite the following as an algebraic expression in terms of x.
The algebraic expression for cot(sin⁻¹(x)) in terms of x is √(1 - x²)/x.
We know that sin(sin⁻¹(x)) = x, so let's consider a right triangle where the opposite side is x and the hypotenuse is 1. Then, using the Pythagorean theorem, we can find the adjacent side:
sin⁻¹(x) = θ
sin(θ) = x
cos(θ) = √(1 - sin²(θ)) = √(1 - x²)
Now, using the definition of cotangent and substituting in our values for sine and cosine, we get:
cot(θ) = cos(θ) / sin(θ)
cot(sin⁻¹(x)) = cos(sin⁻¹(x)) / sin(sin⁻¹(x))
cot(sin⁻¹(x)) = √(1 - x²) / x
Therefore, the algebraic expression in terms of x for cot(sin⁻¹(x))
is √(1 - x²) / x.
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Your question is incomplete but probably the complete question is:
Use the appropriate triangle or trigonometric identity to rewrite the following as an algebraic expression in terms of x. cot(sin−1(x))
Find the slope of the line that passes through the points (2, 1) and (-1,-1).
Answer:
slope is ⅔
Step-by-step explanation:
\(slope = \frac{y_{2} - y_{1}}{x _{2} - x_{1} } \\ \\ = \frac{ - 1 - 1}{ - 1 - 2} \\ \\ = \frac{ - 2}{ - 3} \\ \\ = \frac{2}{3} \)
Answer:
2/3
Step-by-step explanation:
We can us the slope formula
m = ( y2-y1)/(x2-x1)
= (-1 -1)/(-1 -2)
= -2 / -3
= 2/3
Select the correct answer from the choices given. (13 4i) n = 0 what is n?
No matter what complex number we have, raising it to the power of 0 will always give us 1. Therefore, n must be 0 in this case.
The expression (13 + 4i) raised to the power of n is equal to 0. We need to find the value of n that satisfies this equation.
To solve this, we can set up the equation and use the fact that any number raised to the power of 0 is equal to 1. Therefore, if the expression is equal to 0, then the exponent n must be equal to 0 as well.
So, (13 + 4i)ⁿ = 0 implies n = 0.
In conclusion, n equals 0.
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A ladder leans against a brick wall. The foot of the ladder is 6 feet from the wall. The length of the ladder is 9 feet. Find to the nearest tenth of a degree, the angle of elevation the ladder makes with the ground.
Answer:
Step-by-step explanation:
We can use trigonometry to solve this problem. Let's draw a right triangle to represent the situation:
|\
| \
h | \ 9 ft
| \
| \
| \
-------
6 ft
Here, h represents the height on the wall where the ladder touches. We want to find the angle of elevation θ.
Using the right triangle, we can write:
sin(θ) = h / 9
cos(θ) = 6 / 9 = 2 / 3
We can solve for h using the Pythagorean theorem:
h^2 + 6^2 = 9^2
h^2 = 9^2 - 6^2
h = √(9^2 - 6^2)
h = √45
h = 3√5
So, sin(θ) = 3√5 / 9 = √5 / 3. We can solve for θ by taking the inverse sine:
θ = sin^-1(√5 / 3)
θ ≈ 37.5 degrees
Therefore, to the nearest tenth of a degree, the angle of elevation the ladder makes with the ground is 37.5 degrees.
Find the value
25 points for you, a thanks, 5 star rating and brainliest to the right answer
Answer:
4/5
Step-by-step explanation:
Sin is opposite / hypotenuse
Sin x= 16/20
16/20= 4/5
someone please helppp
Answer:
1. Not similar
2. SSS similarity
3. SAS similarity
4. SAS similarity
5. AA similarity
Hope This Helps!
Simplify (3^5)^2/3^-2
Answer: 3 ^12
Step-by-step explanation: PLEASE TRUST ME I AM DOING THE DIAGNOSTIC
Answer:
3^12
Step-by-step explanation:
I got it right
A waiter earns tips that have a mean of 7 dollars and a standard deviation of 2 dollars. Assume that he collects 30 tips in a day, and each tip is given independently.a) Find the expected average amount of his tips.b) Find the standard deviation for the average amount of his tips.c) Find the approximate probability that the average amount of his tips is less than 6 dollars. Express your answer accurate to three decimal places.
Main Answer:The approximate probability is 0.033
Supporting Question and Answer:
How do we calculate the expected average and standard deviation for a sample?
To calculate the expected average and standard deviation for a sample, we need to consider the characteristics of the population and the sample size.
Body of the Solution:
a) To find the expected average amount of the waiter's tips, we can use the fact that the mean of the sample means is equal to the population mean. Since the mean of the tips is given as 7 dollars, the expected average amount of his tips is also 7 dollars.
b) The standard deviation for the average amount of the waiter's tips, also known as the standard error of the mean, can be calculated using the formula:
Standard deviation of the sample means
= (Standard deviation of the population) / sqrt(sample size)
In this case, the standard deviation of the population is given as 2 dollars, and the sample size is 30. Plugging these values into the formula, we have:
Standard deviation of the sample means = 2 / sqrt(30) ≈ 0.365
Therefore, the standard deviation for the average amount of the waiter's tips is approximately 0.365 dollars.
c) To find the approximate probability that the average amount of the waiter's tips is less than 6 dollars, we can use the Central Limit Theorem, which states that for a large sample size, the distribution of sample means will be approximately normal regardless of the shape of the population distribution.
Since the sample size is 30, which is considered relatively large, we can approximate the distribution of the sample means to be normal.
To calculate the probability, we need to standardize the value 6 using the formula:
Z = (X - μ) / (σ / sqrt(n))
where X is the value we want to standardize, μ is the population mean, σ is the population standard deviation, and n is the sample size.
Plugging in the values, we have:
Z = (6 - 7) / (2 / sqrt(30)) ≈ -1825
Using a standard normal distribution table or a calculator, we can find the probability associated with this z-score. The approximate probability that the average amount of the waiter's tips is less than 6 dollars is approximately 0.033.
Final Answer:Therefore, the approximate probability is 0.033, accurate to three decimal places.
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The approximate probability is 0.033
How do we calculate the expected average and standard deviation for a sample?To calculate the expected average and standard deviation for a sample, we need to consider the characteristics of the population and the sample size.
a) To find the expected average amount of the waiter's tips, we can use the fact that the mean of the sample means is equal to the population mean. Since the mean of the tips is given as 7 dollars, the expected average amount of his tips is also 7 dollars.
b) The standard deviation for the average amount of the waiter's tips, also known as the standard error of the mean, can be calculated using the formula:
Standard deviation of the sample means
= (Standard deviation of the population) / sqrt(sample size)
In this case, the standard deviation of the population is given as 2 dollars, and the sample size is 30. Plugging these values into the formula, we have:
Standard deviation of the sample means = 2 / sqrt(30) ≈ 0.365
Therefore, the standard deviation for the average amount of the waiter's tips is approximately 0.365 dollars.
c) To find the approximate probability that the average amount of the waiter's tips is less than 6 dollars, we can use the Central Limit Theorem, which states that for a large sample size, the distribution of sample means will be approximately normal regardless of the shape of the population distribution.
Since the sample size is 30, which is considered relatively large, we can approximate the distribution of the sample means to be normal.
To calculate the probability, we need to standardize the value 6 using the formula:
Z = (X - μ) / (σ / sqrt(n))
where X is the value we want to standardize, μ is the population mean, σ is the population standard deviation, and n is the sample size.
Plugging in the values, we have:
Z = (6 - 7) / (2 / sqrt(30)) ≈ -1825
Using a standard normal distribution table or a calculator, we can find the probability associated with this z-score. The approximate probability that the average amount of the waiter's tips is less than 6 dollars is approximately 0.033.
Therefore, the approximate probability is 0.033, accurate to three decimal places.
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I NEED AN ANSWER PLEASE :(((
Answer:
80 lemons
Step-by-step explanation:
Let x represent the amount of lemons that were on the tree.
We can use this to set up an equation:
\(40\%x=32\)
Note that percentages can also be written as that number over 100.
\(\frac{40}{100}x=32\)
Simplify the fraction.
\(\frac{2}{5}x=32\)
Multiply both sides by 5
\(2x=160\)
Divide both sides by 2
\(x=80\)
There were 80 lemons on the tree before he picked the lemons.
The ratio of bananas to melons is 30:1 if there are 300 bananas how many melons are there
Answer:
10
Step-by-step explanation:
30:1 = 300:x
x=(300*1)/30=10
Which equation represents this statement?
9 less than 3 times a number is 18
9−3n=18
18−3n=9
3n−18=9
3n−9=18
Answer:
3n-9=18 because the number which is times the 3 is 9
The solution is Option D.
The equation which represents the statement 9 less than 3 times a number is 18 will be 3n - 9 = 18
The equation is 3n - 9 = 18
What is an Equation?
Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the equation be A
Now , the value of A is 18
A = 9 less than 3 times a number is 18
A = 3n - 9
And the value of A is 18 , so substituting the value in the equation , we get
A = 18
3n - 9 = 18
Therefore , the equation is 3n - 9 = 18
Hence , The equation which represents the statement 9 less than 3 times a number is 18 will be 3n - 9 = 18
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Tom wants the scale model to be 9 inches tall.
How wide should the scale model be?
A. 1.7 inches
B. 5.4 inches
O c. 15 inches
OD. 20 inches
Answer:
C 15
Step-by-step explanation:
9 = 12 3/4
20 3/4 = 15
Find the value of a. Then find the angle measures of the quadrilateral.
(22° 20°)
Sum of angle
measures: 360°
a =
and
The angle measures from least to greatest are...
Answer:
a = 60°
60°, 60°, 120°, and 120°.
Step-by-step explanation:
Sum of interior angles of a quadrilateral = 360°
Therefore:
a° + a° + 2a° + 2a° = 360°
Add like terms
6a = 360
Divide both sides by 6
a = 60
2a = 2(60) = 120°.
Angle measure from least to greatest are 60°, 60°, 120°, and 120°.
It is known that 15% of the calculators shipped from a particular factory are defective. What is the probability that exactly four of ten chosen calculators are defective? Multiple Choice A. 0.99 B. 0.01
C. 04 D. 0.04
The correct answer choice is B. 0.01. This can be answered by the concept of Probability.
The problem involves calculating the probability of a binomial distribution, where n = 10 (number of trials) and p = 0.15 (probability of success, i.e., a calculator being defective). The formula for this probability is:
P(X = k) = (n choose k) × p^k × (1-p)^(n-k)
Where X is the random variable representing the number of defective calculators (k = 4 in this case).
Using this formula, we can calculate:
P(X = 4) = (10 choose 4) × 0.15⁴ × (1-0.15)⁽¹⁰⁻⁴⁾
= 0.2501
Therefore, the probability that exactly four of ten chosen calculators are defective is 0.2501, which is approximately 0.25 or 25%.
The correct answer choice is B. 0.01 , as it is the probability of getting four or more defective calculators (not exactly four). as it is the probability of getting fewer than four defective calculators. 0.99 and 0.04 are not relevant probabilities in this context.
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