No They can not because you need to be at least 62 years old
Translate this sentence into an equation.
21 more than Diego's height is 40.
Use the variable d to represent Diego's height.
Need help fast. Will give brainlyiest
Answer:
Step-by-step explanation:
The longer you study the more you can remember so if she studied for 3.50 hrs she is more likely to get a grade in the 90s
If wrong im sry
what expression does the model show
i will give brainliest
help asap
a coffee company wants to bring out a new holiday flavor and decide to conduct a study to see what their customers prefer. in which situation could they use a hypothesis test for matched pairs?
The null hypothesis for the test would be that there is no difference between the ratings for the existing coffee flavors and the newly introduced holiday flavor. The alternative hypothesis would be that there is a significant difference between the ratings.If the p-value of the test is less than the level of significance, the company can reject the null hypothesis and conclude that there is a significant difference between the ratings for the two sets of flavors. This would indicate that the holiday flavor is preferred more than the existing flavors and the company can introduce it as a new flavor for the holiday season.
The coffee company can use a hypothesis test for matched pairs in a situation where they want to compare the preferences of their customers for the existing coffee flavors with the newly introduced holiday flavor. By conducting a matched-pairs hypothesis test, the company can determine whether the holiday flavor is preferred more than the existing flavors.Matched-pairs hypothesis test is a statistical test used to determine the difference between two related variables. In this case, the related variables are the preferences of the customers for existing coffee flavors and the newly introduced holiday flavor. The test involves measuring the differences between the paired variables and determining whether the differences are significant enough to indicate a preference for one flavor over the other.
For instance, the coffee company can conduct a survey among its customers to determine their preferences for the different coffee flavors. The survey can involve asking the customers to rate the existing coffee flavors and the newly introduced holiday flavor on a scale of 1 to 10. The company can then compare the ratings for each customer to determine whether the holiday flavor is preferred more than the existing flavors.After collecting the data, the company can use a paired t-test to determine whether the differences in the ratings are significant.
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Swimming Pool On a certain hot summer's day, 236 people used the public swimming pool. The daily prices are $1.50 for children and $2.50 for adults. The receipts for admission totaled $525.00. How many children and how many adults swam at the public pool that day?
Answer:
Step-by-step explanation:
\(a+c=236\\ \\ a=236-c\\ \\ 1.5c+2.5a=525\\ \\ 1.5c+2.5(236-c)=525\\ \\ 1.5c-2.5c+590=525\\ \\ -c=-65\\ \\ c=65\\ \\ a=236-65\\ \\ a=171\\ \\ \text{So there were 171 adults and 65 children at the pool that day.}\)
Write an equation of the line that passes through (1,4) and is parallel to the line y =-5x+2
Answer:
y=-5x+9
Step-by-step explanation:
Answer:
y=-5x+-9
Step-by-step explanation:
If you notice is says that the line HAS to go through (1,4) but if you need it to go through (-1,4) it would be y=-5x+-1
how to find square root
Finding the square root of non-perfect square numbers typically results in an irrational number, which has a non-repeating and non-terminating decimal representation.
Finding the square root of a number involves determining the value that, when multiplied by itself, gives the original number. Here are a few methods to find the square root:
Prime Factorization: This method involves breaking down the number into its prime factors. Pair the factors in groups of two, and take one factor from each pair. Multiply these selected factors to find the square root. For example, to find the square root of 36, the prime factors are 2 * 2 * 3 * 3. Taking one factor from each pair (2 * 3), we get 6, which is the square root of 36.
Estimation: Approximate the square root using estimation techniques. Find the perfect square closest to the number you want to find the square root of and estimate the value in between. Refine the estimate using successive approximations if needed. For example, to find the square root of 23, we know that the square root of 25 is 5. Therefore, the square root of 23 will be slightly less than 5.
Using a Calculator: Most calculators have a square root function. Simply input the number and use the square root function to obtain the result.
It's important to note that finding the square root of non-perfect square numbers typically results in an irrational number, which has a non-repeating and non-terminating decimal representation.
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gordon types 3,420 words in 45 minutes. Find the unit rate.
Gordon types ___ words per minute.
Karina bought 8 bagels and used a gift certificate for $4. Her total cost is represented by the expression 8b - 4, where b is the cost of a bagel. What is an equivalent expression?
Answer:
An equivalent expression = 8b + (-4)
Step-by-step explanation:
In Mathematics, numbers exhibit or are guided by certain properties that they can show.
Some of those of properties are :
a) Commutative property where:
a + b = b + a
b) Associative property
a+( b + c) = (a + b) + c
c) Additive inverse property
a - b = a + ( - b)
For the question above, we are told that the total cost of what Karen bough is represented by the expression 8b - 4. We are asked find the equivalent expression.
An equivalent expression is defined as an expression that has the exact value for all the values obtained from the variable.
Hence, using the Additive inverse property
a - b = a + ( - b)
The equivalent expression for 8b - 4 = 8b + ( -4)
Rewrite each mixed number as a sum of two signed numbers
3 1/5
-7 3/8
Answer: \(=-4\frac{7}{40}\)
Step-by-step explanation:
\(3\frac{1}{5}+\left(-7\frac{3}{8}\right)\)
\(=\frac{16}{5}+\left(-\frac{59}{8}\right)\)
\(\frac{16}{5}+\left(-\frac{59}{8}\right)=\frac{16}{5}-\frac{59}{8}\)
\(=\frac{128}{40}-\frac{295}{40}\)
\(=\frac{128-295}{40}\)
\(=\frac{-167}{40}\)
\(=-4\frac{7}{40}\)
Answer:
1/2
Step-by-step explanation:
Draw a tape diagram and solve the following:
5/6 of 42
Answer:
35
Step-by-step explanation:
5/6 x 42 = 35
To draw a tape diagram:
Draw a huge rectangle, cute the rectangle into 42 pieces, put each part as 5/6 what i mean is right 5/6 in the pieces you cut into 42 pieces.
a technician must press a cable connector's retaining tab to remove a faulty fiber optic network cable. which of the following connectors does the cable use?
The cable connectors that requires pressing a retaining tab to remove the faulty fiber optic network cable is likely an SC (Subscriber Connector) connector.
The cable in question is likely using an SC (Subscriber Connector) connector. The SC connector is a commonly used fiber optic connector that features a push-pull mechanism with a retaining tab. To remove the faulty fiber optic network cable, the technician would need to press the retaining tab on the SC connector, which releases the connector from its mating receptacle.
The SC connector is known for its ease of use and high performance. It has a square-shaped connector body and utilizes a push-pull latching mechanism, which makes it convenient for installation and removal. By pressing the retaining tab, the technician can safely and efficiently disconnect the faulty fiber optic cable.
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(-6,0) ; slope = 2/3
Answer:Slope Intercept
Y=2/3m-6
These lines do no intersect each other and they lie on the same plane A) line segments B) parallel lines C) perpendicular lines D) transucrsal lines
Line segments are straight lines that have a beginning and an end point and do not intersect with each other. They lie on the same plane and have the same direction.
Line segments are straight lines with a beginning and an end point and they do not intersect with each other. They are usually used to represent a certain length, distance, or area of a given space. Line segments have the same direction and lie on the same plane. They can be used to measure distances between two points or to establish boundaries of certain locations. Line segments are also used to plot out shapes and angles in math and geometry. Line segments can be used to create patterns, create shapes, and create figures. They are also used to connect two points and form a line. Line segments can be used to determine the distance between two points, to draw a line between two points, and to create a boundary. Line segments can be used to identify an area or region, to measure the size of an object, and to plot out a pattern. In conclusion, line segments are straight lines that have a beginning and an end point and do not intersect with each other. They lie on the same plane and have the same direction.
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How are the properties of exponents used when dividing a polynomial by a monomial?
Use the rules of exponents to divide variables with the same base when dividing monomials. According to this rule, the base should remain in the position (numerator or denominator) where the greater exponent was when dividing variables with the same base after the exponents have been subtracted.
What additional factor is utilised to divide a monomial by a monomial?In order to divide a polynomial by a monomial, let's first divide a monomial by another monomial. The monomial should be divided into numerical and variable factors. By deducting the exponents of each y term, divide the coefficients and variables.
What comes first in the polynomials by monomial division?Let's go over the three steps that must be completed in order to divide a polynomial by a monomial. Rewrite the issue and divide each polynomial term by the monomial as a first step. Dividing the numbers is the next step. Divide the variables is the third and last stage.
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In the ratio of 3:3:2, three sisters invested a total of 54,000 pesos to a store. Find the share of the second sister in the investment.
Answer:
20, 250
Step-by-step explanation:
3:3:2
u will first need to find the addition of all the ratio and divide each ratio by the sum
3+3+2=8
the u will; 3/8×54000=20,250
3/8×54000=20,250
2/8×54000=13500
A bag contains 5 quarters, 2 dimes, and 4 pennies. What is the probability of picking a quarter or a dime?
Answer:
Quarter: 5/11 Dime: 2/11
These are fractions and 11 is the total number of coins.
The probability of picking a quarter or a dime is,
\(P(E)=\frac{7}{11}\)
Probability :Given that,
A bag contains 5 quarters, 2 dimes, and 4 pennies.
Total number of outcomes \(=5+2+4=11\)
We have to find the probability of picking a quarter or a dime.
So that favourable outcomes is 5 quarters and 2 dimes
Number of favourable outcomes\(=5+2=7\)
the probability of picking a quarter or a dime is,
\(P(E)=\frac{7}{11}\)
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According to Ohm's Law, in an electrical circuit the voltage V (in volts) is related to the current I (in amps) and the resistance R (in ohms) by V = TR. Sup pose that when the current is 5 amps and the resistance is 6 ohms, the current is increasing by 0.3 amps/minute. What will be the rate of change of the resistance at that moment if the voltage remains unchanged? Make sure your answer has units! .
Answer:
The resistance is decreasing at a rate of 0.36 ohms/minute.
Step-by-step explanation:
The mathematical form of the Ohm's law is given by :
V = IR ...(1)
Where V is voltage, I is current and R is resistance
Given,
I = 5 A
R = 6 ohms
dI/dt = 0.3 A/min
Differentiate equation (1) wrt t:
\(\dfrac{dV}{dt}=I\dfrac{dR}{dt}+R\dfrac{dI}{dt}\)
When V is constant, dV/dt = 0
\(0=5\times \dfrac{dR}{dt}+6\times 0.3\ A/s\\\\1.8=-5\times \dfrac{dR}{dt}\\\\\dfrac{dR}{dt}=-0.36\ \Omega/min\)
So, the resistance is decreasing at a rate of 0.36 ohms/minute.
A complex electronic system is built with a certain number of backup components in its subsystems. One subsystem has four identical components, each with a probability of .2 of failing in less than 1000 hours. The subsystem will operate if any two of the four components are operating. Assume that the components operate independently. Find the probability that a exactly two of the four components last longer than 1000 hours. b the subsystem operates longer than 1000 hours.
Answer:
a. 0.1536
b. 0.9728
Step-by-step explanation:
The probability that a component fails, P(Y) = 0.2
The number of components in the system = 4
The number of components required for the subsystem to operate = 2
a. By binomial theorem, we have;
The probability that exactly 2 last longer than 1,000 hours, P(Y = 2) is given as follows;
P(Y = 2) = \(\dbinom{4}{2}\) × 0.2² × 0.8² = 0.1536
The probability that exactly 2 last longer than 1,000 hours, P(Y = 2) = 0.1536
b. The probability that the system last longer than 1,000 hours, P(O) = The probability that no component fails + The probability that only one component fails + The probability that two component fails leaving two working
Therefore, we have;
P(O) = P(Y = 0) + P(Y = 1) + P(Y = 2)
P(Y = 0) = \(\dbinom{4}{0}\) × 0.2⁰ × 0.8⁴ = 0.4096
P(Y = 1) = \(\dbinom{4}{1}\) × 0.2¹ × 0.8³ = 0.4096
P(Y = 2) = \(\dbinom{4}{2}\) × 0.2² × 0.8² = 0.1536
∴ P(O) = 0.4096 + 0.4096 + 0.1536 = 0.9728
The probability that the subsystem operates longer than 1,000 hours = 0.9728
50 points. Only solve 6-10. And show work
Answer :
6 : Margaret has 30 50-cent coins and 26 10-cent coins
let 'x' represent the number of 50-cent coins, then '56-x' represents the number of 10-cent coins
17.60 = 0.5x + 0.1(56-x)
solving for 'x' we have x=30
56-30 = 26
7 : Total money = $29.40
mich money = m dollar,
amy money = (3/4)m dollars,
Total = m + 3m/4 = 29.40,
4m+3m = 4*29.4,
7m = 117.6,
m = 117.6/7 = 16.8
Hence,
Michelle's money = $16.80
Amy money = $12.60
8 : (a) The amount of milk in a carton is normally distributed with a mean of 260 millilitres (mL) and a standard deviation of 8 mL. Every milk carton is labelled with the serving size as 250 mL. (i) What is the probability that a randomly selected carton has more than the labelled serving? [3 marks) (ii) Determine the amount of milk in a carton for which only 7.08% of cartons fall below this amount. [3 marks (iii) Find an interval around the mean y = 260mL such that 95% of all milk cartons fall within this interval. (5 marks)
9 : a=3, b=5
So b+2 = a+4 = 4a-b
b=a+2
3a=b+4
b=2a-1
Hence
2a-1=a+2
10 : original dimensions of rectangle, length = 18cm and width = 10cm
Let length and width = L and W.
from statement "A rectangle has perimeter 56 cm. If 4 cm is taken from the length and added to the width, the rectangle becomes a square", you can deduce
2L + 2W = 56 ( its sides make up its perimeter )
L - 4 = W + 4
L = W + 8
sub L = W + 8 into 2L + 2W = 56
2 ( W + 8 ) + 2W = 56
2W + 16 + 2W = 56
4W = 40
W = 10
sub W = 10 into L = W + 8
L = 10 + 8 = 18
Answer:
someone already answered it i just wanted points thanks
The integral of [(x^2)(y^2)dx + x y dy] where C consists of the arc of the parabola y = x^2 from (0,0) to (1,1) and the line segments from (1,1) to (0,1) using line integral and Green theorem please
The line integral ∫[C] (Pdx + Qdy) over the given curve C consisting of the arc of the parabola y = x² from (0,0) to (1, 1), and the line segment from (1,1) to (0,1) is equal to 2/5.
What is integral?
The value obtained after integrating or adding the terms of a function that is divided into an infinite number of terms is generally referred to as an integral value.
To evaluate the line integral using Green's theorem, we need to find a vector field F = (P, Q) such that ∇ × F = Qₓ - Pᵧ, where Qₓ represents the partial derivative of Q with respect to x, and Pᵧ represents the partial derivative of P with respect to y.
Let's consider F = (P, Q) = (x²y², xy).
Now, let's calculate the partial derivatives:
Qₓ = ∂Q/∂x = ∂(xy)/∂x = y
Pᵧ = ∂P/∂y = ∂(x²y²)/∂y = 2x²y
The curl of F is given by ∇ × F = Qₓ - Pᵧ = y - 2x²y = (1 - 2x²)y.
Now, let's find the line integral using Green's theorem:
∫[C] (Pdx + Qdy) = ∫∫[R] (1 - 2x²)y dA,
where [R] represents the region enclosed by the curve C.
To evaluate the line integral, we need to parameterize the curve C.
The arc of the parabola y = x² from (0, 0) to (1, 1) can be parameterized as r(t) = (t, t²) for t ∈ [0, 1].
The line segment from (1, 1) to (0, 1) can be parameterized as r(t) = (1 - t, 1) for t ∈ [0, 1].
Using these parameterizations, the region R is bounded by the curves r(t) = (t, t²) and r(t) = (1 - t, 1).
Now, let's calculate the line integral:
∫∫[R] (1 - 2x²)y dA = ∫[0,1] ∫[t²,1] (1 - 2t²)y dy dx + ∫[0,1] ∫[0,t²] (1 - 2t²)y dy dx.
Integrating with respect to y first:
∫[0,1] [(1 - 2t²)(1 - t²) - (1 - 2t²)t²] dt.
Simplifying:
∫[0,1] [1 - 3t² + 2t⁴] dt.
Integrating with respect to t:
[t - t³ + (2/5)t⁵]_[0,1] = 1 - 1 + (2/5) = 2/5.
Therefore, the line integral ∫[C] (Pdx + Qdy) over the given curve C consisting of the arc of the parabola y = x² from (0,0) to (1,1), and the line segment from (1,1) to (0,1) is equal to 2/5.
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50 points to the first person to answer this for me. Solve.
−2 1/3x=−1 3/4
What is the solution to the equation?
Enter your answer as a simplified fraction in the box.
Answer: \(x= \frac{3}{4}\)
Step-by-step explanation:
Solve for x by simplifying both sides of the equation, then isolating the variable.
David is making rice for his guests based on a recipe that requires rice, water, and a special blend of spice, where the rice-to-spice ratio is
15
:
1
15:115, colon, 1. He currently has
40
4040 grams of the spice blend, and he can go buy more if necessary. He wants to make
10
1010 servings, where each serving has
75
7575 grams of rice. Overall, David spends
4.50
4.504, point, 50 dollars on rice.
What is the price of rice per gram?
Answer:
The price of rice per gram is 4.50 / 750 = 0.006 dollars per gram.
Step-by-step explanation:
David wants to make 10 servings, where each serving has 75 grams of rice. So, he needs a total of 10 * 75 = 750 grams of rice. the price of rice per gram is 4.50 / 750 = 0.006 dollars per gram.
Factor completely: 8x^9 y^6 z^6 + 40x^8 y^3 z^6
8*x^9*y^6*z^6 + 40*x^8*y^3*z^8
In order to factor this expression we need to find the common factor between the two terms. First we need to find the largest common factor between the two numerical parts, in this case 8 and 40. In this case, we can divide 40 by 8 directly, therefore the common factor is 8. For the variables we need to find the largest common factor aswell and to do this we need to indentify the letters that are repeated and between them the factor we are looking for is the one with the smallest expoent.
The "x" variable is repeated in both terms, the first one appears as x^9 while the second one is x^8. So the common factor is x^8.
The y variable is repeated in both terms, the first one appears as y^6 while the second one appears as y^3. So the common factor is y^3.
Lastly the z variable appears in both terms, with the first one being z^6 and the second z^8. So the common factor is z^6.
We now take all the common factors and divide each term by them as shown below:
\(8\cdot x^8\cdot y^3\cdot z^6(x^{}\cdot y^3+5\cdot z^2)\)The result is 8*x^8*y^3*z^6*(x*y^3 + 5*z^2).
PLEASE HELPPP
To measure the distance across a pond, a surveyor
locotes points A, B, C, D, and E as shown. What is AB
to the nearest meter?
Answer:
i need the answer too lol
Step-by-step explanation:
Answer:
15 m
Step-by-step explanation:
cuanto es 1/3 mas 3/4 mas 1/2 lo necesito por favor ;_;
Answer:
19/12= 1 7/12
Step-by-step explanation:
Pls help which statement is true?
The first statement is true
Step-by-step explanation:
They all can be simplyfied to 3/4 including 12/16
Use a Counterexample
Determine if the following is statement is true or false. If false, provide a counterexample.
It is impossible to increase the cost of an item by less than 1%.
It is impossible to increase the cost of an item by less than 1%: False. The counterexample is stated below.
What is a conditional statement?A conditional statement can be defined as a type of statement that can be written to have both a hypothesis and conclusion. This ultimately implies that, a conditional statement typically has the form "if P then Q."
Where:
P and Q represent sentences.
In this scenario, we can reasonably infer and logically deduce that it is false to state that "it is impossible to increase the cost of an item by less than 1%" because the counterexample is that, if a television costs $20,000, and its price increases by $100, its markup price would be less than 1%.
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Mike is visiting the worlds tallest statue His angle of elevation from his line of sight to the top of the statue is 11°. If mike is 5 ft tall and the statue is 420ft tall, what is the distance from Mikes eyesight to the top of the statue Round your answer to the nearest whole number.
Rounding to the nearest whole number, the distance from Mike's eyesight to the top of the statue is approximately 27 ft.
To find the distance from Mike's line of sight to the top of the statue, we can use trigonometry and the concept of similar triangles. Let's assume the distance from Mike's eyesight to the top of the statue is represented by 'd'. We have two right triangles:
Triangle 1: Mike's triangle
Angle of elevation: 11°
Opposite side: Mike's height = 5 ft
Adjacent side: Distance from Mike's eyesight to the statue = d ft
Triangle 2: Statue triangle
Angle of elevation: 90°
Opposite side: Statue height = 420 ft
Adjacent side: Distance from Mike's eyesight to the statue = d ft
We can use the tangent function to set up the equation:
tan(11°) = (Mike's height) / (Distance from Mike's eyesight to the statue)
tan(11°) = 5 / d
To find d, we can rearrange the equation:
d = 5 / tan(11°)
Using a calculator, the value of d is approximately 27.48 ft.
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On Wednesday, Simran walked from home to the train station. On Thursday, Simran took the bus from home to the train station. The distance-time graphs show Simran's journey on Wednesday and Thursday. How many minutes less was her total journey time on Thursday than on Wednesday?
Her journey was = 40-6 = 34 minutes less on Thursday than on Wednesday
What is distance time graph?If an object moves along a straight line, the distance travelled can be represented by a distance-time graph.
On Wednesday time taken= 40 minutes
On Thursday, time taken= 6 minutes
Her journey was = 40-6 = 34 minutes less on Thursday than on Wednesday.
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