Answer:
t>-3 is the answer. hope this helped!
Step-by-step explanation:
Its simple you add 4 to both sides. t-4+4 > -7+4= t > -3
Determine whether the distribution represents a probability distribution. X 3 6 0.3 0.4 P(X) Oa. Yes b. No 9 0.3 0.1
The distribution does not represent a probability distribution. The correct option is b.
A probability distribution should satisfy two main conditions: (1) the sum of the probabilities for all possible outcomes should be equal to 1, and (2) the probabilities for each outcome should be between 0 and 1 (inclusive).
In this distribution, the probabilities for the outcomes are 0.3, 0.4, 0.3, and 0.1 for the values of X as 3, 6, 9, and 0, respectively. However, the sum of these probabilities is 1.1, which violates the first condition of a probability distribution.
Therefore, this distribution does not meet the requirements of a probability distribution and is not a valid probability distribution. The correct answer is option b.
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Dylan is 1.25 meters tall. At 2 p.m., he measures the length of a tree's shadow to be
34.65 meters. He stands 30.1 meters away from the tree, so that the tip of his shadow
meets the tip of the tree's shadow. Find the height of the tree to the nearest
hundredth of a meter.
34.65 ms
1.25 m
30.1 m
The height of the tree is 9.51 meters.
How to calculate the height?The height is determined by dividing the total elevational area of the building or structure facing the boundary by the horizontal length of that building or structure facing the boundary Height is a measurement of vertical distance. For example, "the height of that building is 50 meters" or "the height of an airplane in flight is approximately 10,000 meters."Now, calculate as follows:
Dylan's height= 1.25 mTrees' shadow length = 34.65 mDylan's distance from the tree= 30.1 mDylan is standing in a way that the tip of his head is touching the tip of the tree's shadow.
Let Dylan's shadow length= x m
⇒34.65m = x-30.1m⇒x= 34.65m - 30.1m⇒x = 4.55 mNow,
Shadow length of Dylan = height of the tree/shadow length of the tree
1.25/4.55 = h/34.65h = 1.25*34.65/4.55 = 9.5192mTherefore, the height of the tree is 9.51 meters.
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Answer:
Step-by-step explanation:
its 103.76
20 points Sebastian and Sabrina have gone on
vacation in Atlantic City. Their first
stop was the pier, where they noticed
horse diving and both decided to give
it a try. Sebastian went first. His dive
was modeled by the equation,
h(t)=-16t² + 16t+18, where h is the
height (in feet) above the water and
t is the time in seconds. Sabrina's
dive is modeled by
h(t)-16(-0.5)² + 22.
1. The functions are the same because each of the function has equations that are modeled after the horse diving into the water.
2. Given t = 20s, so using the equation modeled for Seb, we have
h(20) = -16(20^2) + 16(20) +18
After evaluating it we get -6062ft which is not possible since we cannot get a height in negative and jumping off at a height of 6062ft if it was in positive it wouldn't be done by a sane person.
3. Putting the value of t as 0 in the equation we get,
h(0) = -16(0^2) + 16(0) + 18
After evaluating it, we get 18ft and in this situation, we can say that in 0 seconds that is when the horse had not yet dived, the horse was at a height of 18ft.
4 a. Taking the value of h as 18 in Sabri's equation, we get
18 = -16(t - 0.5)^2 + 22
18 = 16t^2 - 4 + 22 (After solving {t - 0.5}^2)
t^2= 18 + 4 - 22/ 16
t^2= 0
t = 0seconds
b. The maximum height of Sabrina's height was 18ft, since this is the initial height of the horse diving booth.
What are functions?
In mathematics, a function is an expression, rule, or law that establishes a relationship between an independent variable and a dependent variable. To put it simply, a function is a type of rule that produces one output for every input it receives. Here, y=x2 serves as an illustration. A single output for y results from any input for x. Since x is the input value, we would state that y is a function of x.
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You Try:
1. Complete the following table. Assume no money was deposited or withdrawn
from accounts and that all interest rates are simple and annual.
Principle
$1,000
$800
$1,250
$2,000
Interest Rate
5%
6.5%
6
Time (years)
5
6.5
Interest Earned
7
50
$208
$390
7 160
$656.25
Ending Balance
1260
1352
$3, 120
$2,156.25
With the information provided, the table is complete. It shows the interest earned and ending balance for each account based on the specified principal, interest rate, and time.
How to calculate the interest?The following formula is used to calculate the interest earned:
Interest = Principal x Interest Rate x Time
And the Ending Balance is calculated by adding the earned interest to the principal:
Principle InterestRate Time (years) Interest Earned EndingBalance
$1,000 5% 5 $250 $1,250
$800 6.5% 6.5 $208 $1,052
$1,250 6% 7 $525 $1,775
$2,000 7% 5 $700 $2,700
Ending Balance = Principal + Interest Earned
It is important to note that the interest rates are expressed as percentages, and the time is given in years. The interest earned and the final balance are both in US dollars.
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Company XYZ know that replacement times for the quartz time pieces it produces are normally distributed with a mean of 12.9 years and a standard deviation of 1.3 years. Find the probability that a randomly selected quartz time plece will have a replacement time less than 9.5 years? Enter your answer accurate to 4 decimal places. P(X<9.5 years )= If the company wants to provide a warranty so that only 1.2% of the quartz time pieces will be replaced before the warranty expires, what is the time length of the warranty? Enter your answer in years, rounded to one decimal place warranty = years
The probability of a randomly selected quartz time piece having a replacement time less than 9.5 years is 0.0062. The warranty length to cover only 1.2% of the quartz time pieces is approximately 16.6 years.
To find the probability that a randomly selected quartz time piece will have a replacement time less than 9.5 years, we need to calculate the cumulative probability of the normal distribution using the given mean (12.9 years) and standard deviation (1.3 years). Using a standard normal distribution table or a statistical software, we find that the cumulative probability is approximately 0.0062.
To determine the time length of the warranty that covers only 1.2% of the quartz time pieces, we need to find the corresponding value in the normal distribution. This value is the z-score that corresponds to a cumulative probability of 0.012 (1.2%). By looking up the z-score in the standard normal distribution table or using a statistical software, we find that the z-score is approximately -2.08. We can then use the z-score formula (z = (x - μ) / σ) to find the corresponding x-value (time length) by rearranging the formula as x = z * σ + μ. Plugging in the values of z = -2.08, σ = 1.3, and μ = 12.9, we can calculate that the warranty should be approximately 16.6 years.
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Which phrase represents the expression 7x + 2
Answer:
Seven x plus two
Step-by-step explanation:
I think thats whats you wanted, right?
please Help quick
really due soon
The angles in the parallel lines are as follows:
w = 120°
x = 60°
y = 120°
z = 60°
How to find the angles in parallel lines?When parallel lines are cut by a transversal line angle relationships are formed such as corresponding angles, alternate interior angles, alternate exterior angles, vertically opposite angles, linear angles, same side interior angles etc.
Let's find the size of x, y, w and z.
Therefore,
w = 120 degrees(vertically opposite angles)
Vertically opposite angles are congruent.
x = 180 - 120 = 60 degrees(Same side interior angles)
Same side interior angles are supplementary.
y = 180 - 60 = 120 degrees(Same side interior angles)
z = 180 - 120 = 60 degrees(angles on a straight line)
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What is the area of the figure at the right 6 in.
7.5 in.
Please HELP
Answer:
B.
Step-by-step explanation:
An independent basic service set (IBSS) consists of how many access points?
An independent basic service set (IBSS) does not consist of any access points.
In an IBSS, devices such as laptops or smartphones connect with each other on a peer-to-peer basis, forming a temporary network. This type of network can be useful in situations where there is no existing infrastructure or when devices need to communicate with each other directly.
Since an IBSS does not involve any access points, it is not limited by the number of access points. Instead, the number of devices that can be part of an IBSS depends on the capabilities of the devices themselves and the network protocols being used.
To summarize, an IBSS does not consist of any access points. Instead, it is a network configuration where wireless devices communicate directly with each other. The number of devices that can be part of an IBSS depends on the capabilities of the devices and the network protocols being used.
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What is the sum?
X
3
2
+
X+3 x+3 x+3
O
+
colch
53
X+5
X+3
X+5
3x+27
6x
X+3
The outcome or result of adding two or more integers is known as the SUM.
What is a sum?The outcome of adding numbers or quantities mathematically is a summation, often known as a sum. A summation always has an even number of terms in it. There may be just two terms, or there may be 100, 1000, or even a million. Some summations include an infinite number of terms.
the sum of two or more numbers, magnitudes, quantities, or specifics as determined by or as though decided by the addition process in mathematics.
The outcome of adding two or more numbers, objects, or things is referred to in mathematics as the sum.
The result or solution we obtain from adding two or more integers is known as the SUM. Addends are the figures that are combined.
\(Simplify $\frac{x}{x+3}+\frac{3}{x+3}+\frac{2}{x+3}: \frac{x+5}{x+3}$Steps$$\frac{x}{x+3}+\frac{3}{x+3}+\frac{2}{x+3}$$Apply the fraction rule: $\frac{a}{c}+\frac{b}{c}=\frac{a+b}{c}$$$=\frac{x+3+2}{x+3}$$Add the numbers: $3+2=5$$$=\frac{x+5}{x+3}$$\)
Therefore, the correct answer is option b) \($=\frac{x+5}{x+3}$\)
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1. A jar contains 10 marbles, 6 marbles are red, and 4
marbles are blue. If 2 marbles are chosen one at a time
with replacement, what is the probability that the first
marble will be blue and the second marble will be red?
A 1/10
B.6/100
D. 1/25
Independent or Dependent?
Final Answer:
Answer:
1/20
Step-by-step explanation:
trust me............or not...jk its either 1/20 or 1/2 NO its 1/20
The function f(x) = 3,267(1 + 0. 02)^x represents the amount of money in a savings account where x represents time in years. what does the 3,267 represent?
The initial amount of money placed in the savings account.
What exactly is a savings account?
A savings account is a deposit account with a bank or another financial organization that pays interest.
Although these accounts frequently offer low interest rates, their security and dependability make them a fantastic choice for keeping cash on hand for urgent needs.
f(x) = 3,267(1 + 0.02)^x
This is in the form
y = a b^x
where a is the initial amount
b is the growth rate
x is the time
3267 is the initial amount
1.02 is the growth rate, so it grows by .02 or 2 percent
and x is the time.
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The price of a phone is AED 600. It is discounted by 18%. You also have a 7% discount voucher on the
sale price.
How much will you pay for this phone?
Answer:
You will pay $457.56.
Step-by-step explanation:
600 x .18 = 108 This is the amount taken off
600 - 108 = 492 Now we will take 7% off of 492
492 x .07 = 34.44
492 - 34.44 = 457.56
Help if you are good at both money and functions!
Answer:
D) 5.55
Step-by-step explanation:
Th cost to ship is the same no matter the weight
gabe's party will cost $12 if he invites six friends how many friends can Gabe invite if you spend $18
Answer:
i dont like gabe, hes mean to me >:(
Step-by-step explanation:
so no, i wont go to his party :))
Answer:
7
Step-by-step explanation:
7+ (-2)+9+(-5)
What is the toatal I need show work due at 11
Answer:
megl;r g;rmbr
Step-by-step explanation:
This is the 100% daily value of added sugar in a 2,000 calorie diet 10%kcal 28 g 2300mg 50 g
Answer:
28 g. ................
NEED HELP ASAP!!!
complete the table to show an equivalent ratio where the number of ears at the start of 100.
Answer:
60
Step-by-step explanation:
If Isabelle sells 150 out of 250 ears of corn. Then the percentage of the ears of corn she sold will be 60%.
What is the percentage?The amount of something is expressed as if it is a part of the total which is a hundred. The ratio can be expressed as a fraction of 100. The word percent means per 100. It is represented by the symbol ‘%’.
Every morning she starts with 250 ears of corn.
On Saturday, Isabelle sells 150 out of 250 ears of corn.
Then the percentage of the ears of corn she sold will be
\(\rm P = \dfrac{150}{250} \times 100\\\\P = 15 \times 4\\\\P = 60 \%\)
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sin² x + cos²x = 1
Which Trigonometric Identity is given above?
- Pythagorean Identity
- Lagrange's Trigonometric Identity
- Angle Sum and Difference Identity
- Tangent Identity
The Trigonometric Identity sin² x + cos²x = 1 is: A. Pythagorean Identity.
What is Pythagorean Identity?The Pythagorean Identity which tend to asserts that for every angle x, the sum of the squares of the sine and cosine of x is equal to one is known as or called a trigonometric identity.
The Pythagorean identity can be expressed as:
sin² x + cos² x = 1
This identity is crucial to understanding trigonometry and tend to have several uses in numerous branches of science and engineering.
Therefore the correct option is A.
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what is the nominal rate of intrest compounded quaterly if the
effective rate of intrest on an investment is 6.1%?
The nominal rate of interest compounded quarterly is the interest rate stated on an investment that is compounded four times per year. To find the nominal rate, we can use the formula for effective interest rate:
(1 + nominal rate/number of compounding periods)^number of compounding periods = (1 + effective rate)
In this case, the effective rate is 6.1%. Let's assume the number of compounding periods is 4 (quarterly compounding). Plugging the values into the formula:
(1 + nominal rate/4)4 = (1 + 0.061)
Simplifying the equation:
(1 + nominal rate/4)4 = 1.061
Taking the fourth root of both sides:
1 + nominal rate/4 = (1.061)(1/4)
Subtracting 1 from both sides:
nominal rate/4 = (1.061)(1/4) - 1
Multiplying both sides by 4:
nominal rate = 4 * ((1.061)(1/4) - 1)
Calculating the value:
nominal rate ≈ 4 * (1.014839 - 1)
nominal rate ≈ 4 * 0.014839
nominal rate ≈ 0.059356 or 5.94%
Therefore, the nominal rate of interest compounded quarterly is approximately 5.94%.
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Please answer that asap
The value of gravitational force between two masses is,
⇒ Gravitational force (F) = 3
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
Two masses are,
m₁ = 6
m₂ = 8
d = 4
Now, We know that;
Gravitational force (F) = m₁ m₂ / d²
Substitute all the values we get;
Gravitational force (F) = m₁ m₂ / d²
Gravitational force (F) = 6 × 8 / 4²
Gravitational force (F) = 48/16
Gravitational force (F) = 3
Thus, The value of gravitational force between two masses is,
⇒ Gravitational force (F) = 3
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if a rectangular computer monitor has a diagonal measurement of 26 inches and the aspect ratio is 3:2 , the width of the monitor in inches is between integers k and k 1 . what is k ?
The width of a rectangular computer monitor with a diagonal measurement of 26 inches falls between the integers 36 and 37, so k is 36.
Let the length of the monitor be 3x and the width be 2x, where x is a positive constant.
Using the Pythagorean theorem, we can write:
(3x)^2 + (2x)^2 = 26^2
Simplifying this equation, we get:
13x^2 = 26^2
x^2 = 2 * 13^2
x = 13√2
So the width of the monitor is 2x = 26√2 inches.
To find the integers k and k+1 between which the width of the monitor falls, we can approximate the value of 26√2:
26√2 ≈ 36.8
So the width of the monitor is between the integers 36 and 37. Therefore, k = 36.
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What multiplication equattion can be used to explain the solution to 15 / 1/3
Step-by-step explanation:
15 / (1/3) is equal to 15 x 3/1 = 15 x 3 = 45
Can someone help me with this. Will Mark brainliest.
Answer:
(1.5, -4)
Step-by-step explanation:
( -1, -5) and (4, -3)
\((\frac{-1+4}{2} ,\frac{-5-3}{2} )\\\\(\frac{3}{2} ,\frac{-8}{2} )\\\\(1.5,-4)\)
Solve for x. Round to the nearest tenth!
Answer:
x=1.7
Step-by-step explanation:
sin20=x/5
x=5sin20
x=1.7
skip counting, clapping hands rhythmically and calling out numbers in unison are examples of algebraic reasoning for students:
Algebraic reasoning involves using mathematical structures and processes to analyze and solve problems, and it is an important part of mathematical thinking and problem solving.
What is Algebraic expressions.?
An algebraic expression is a combination of variables, constants, and mathematical operations such as addition, subtraction, multiplication, division, and exponentiation. Algebraic expressions can contain one or more variables, which are usually represented by letters, and they can be simplified or evaluated by substituting numerical values for the variables.
For example, the expression "3x + 2y - 5" is an algebraic expression that contains two variables, x and y, and three constants, 3, 2, and 5. The expression can be evaluated or simplified by substituting specific values for the variables. For instance, if we let x = 2 and y = 1, then the expression becomes "3(2) + 2(1) - 5", which simplifies to 3.
Skip counting, clapping hands rhythmically, and calling out numbers in unison can be helpful activities for students to develop and practice early mathematical concepts. However, they are not necessarily examples of algebraic reasoning.
Algebraic reasoning involves using mathematical symbols and equations to represent and solve problems. It typically involves working with variables, manipulating expressions, and solving equations.
Some examples of algebraic reasoning for students might include:
Writing and solving simple equations, such as "2x + 3 = 7"
Using variables to represent unknown quantities in problems, such as "If x is the number of apples John has, and he gives away 3, how many apples does he have left?"
Recognizing and extending patterns, such as identifying the rule for a sequence of numbers and predicting the next term in the sequence
Simplifying expressions and using the distributive property, such as simplifying "3(x+2) + 2(x+1)" to "5x + 8"
Overall, algebraic reasoning involves using mathematical structures and processes to analyze and solve problems, and it is an important part of mathematical thinking and problem solving.
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State the domain and range and determine if it's a function?
Help!!!
Find an equation in standard form for the hyperbola with vertices at (0, ±8) and asymptotes at y = ±4 divided by 3.x.
Answer:
D. y2/64 - x2/36=1
Step-by-step explanation:
Did it on flvs
a frequency distribution in which high scores are most frequent (i.e. bars on the graph are highest on the right hand side) is said to be:
A frequency distribution in which high scores are most frequent is said to be positively skewed or right-skewed.
In statistics, skewness refers to the asymmetry of a probability distribution. A frequency distribution is said to be positively skewed or right-skewed if the majority of the data is concentrated on the right side of the distribution, while a few high values are outliers on the right tail. The frequency distribution will look like a graph that is shifted to the right with a longer tail on the right side.
Positive skewness means that the mean (average) of the data will be higher than the median (middle value). The median is a more robust measure of central tendency than the mean in a positively skewed distribution, because it is not influenced by the outliers on the right tail.
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if q is an odd number and the median of q consecutive integers is 120, what is the largest of these integers?
If q is an odd number and the median of q consecutive integers is 120, then the largest of these integers is option (A) (q-1) / 2 + 120
The number q is an odd number
The median of q consecutive integers = 120
Consider the q = 3
Then three consecutive integers will be 119, 120, 121
The largest number = 121
Substitute the value of q in each options
Option A
(q-1) / 2 + 120
Substitute the value of q
(3-1)/2 + 120
Subtract the terms
=2/2 + 120
Divide the terms
= 1 + 120
= 121
Therefore, largest of these integers is (q-1) / 2 + 120
I have answered the question in general, as the given question is incomplete
The complete question is
if q is an odd number and the median of q consecutive integers is 120, what is the largest of these integers?
a) (q-1) / 2 + 120
b) q/2 + 119
c) q/2 + 120
d) (q+119)/2
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