28.6, 25.5, 22.4, 19.3... hope this helps!!
Cost of admission to a town fair was $8 for adults and $5 for children. If 206 people
attended the fair, and ticket sales totaled $1408, how many adult tickets were sold?
adult tickets
Help plz due by tm at 8 am
Solving inequalities unit portfolio task 2-3?
Answer:
What is the question from Solving inequalities unit portfolio task 2-3?
Step-by-step explanation:
Comment it down below and I will solve it! :D
the bayley scales of infant development yield scores on two indices-the psychomotor development index (pdi) and the mental development index (mdi)- which can be used to assess a child's level of functioning in each of these areas at approximately one year of age. among normal healthy infants, both indices have a mean value of 100. as part of a study assessing the development and neurologic status of children who have undergone reparative heart surgery during the first three months of life, the bayley scales were administered to a sample of one-year-old infants born with congenital heart disease
As the test's p-value above the 0.05 level of significance, we cannot reject the hypothesis.
X=97.77 is the mean on the PDI.
a )
The population standard deviation of the PDI:S = 14-69
The PDI sample size is n=70.
The test statistic value is
=X -μ/б-√n
97.77 - 100/14.69√70
Z = - 1.27
The test's p-value is 1.
Value of p = 2p (z - 1.27).
=2 ( = NORMSDIST (-1.27) )
= - 2 (0.1020 )
p-value = 0.2041
Since , the p -value of the test is greater the the 0.05 level of significance, so we fail to reject hypothesis
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What is the slope of the line?
y-3=5(x+2)
Answer:
Use the slope-intercept form y = m
x + b to find the slope m .
m = 5
Step-by-step explanation:
Answer:
Slope is 5
Step-by-step explanation:
The shape is composed of three squares and two semicircles. Select all the expressions that correctly calculate the perimeter of the shape.
The expression that correctly calculates the perimeter of the shape is given as follows:
P = 2(6s + πr).
In which:
s is the side length of the square.r is the radius of the semicircle.How to obtain the perimeter of the square?The perimeter of a square of side length s is given as follows:
P = 4s.
Hence, for three squares, the perimeter is given as follows:
P = 3 x 4s
P = 12s.
How to obtain the perimeter of a semi-circle?The perimeter, which is the circumference of a semicircle of radius r, is given by the equation presented as follows:
C = πr.
Hence the perimeter of two semicircles is given as follows:
C = 2πr.
How to obtain the perimeter of the shape?The perimeter of the entire shape is given by the sum of the perimeter of each shape, hence:
P = 12s + 2πr.
P = 2(6s + πr).
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On a map. 1 inch equals 15 miles. Two cities are 6 inches apart on the map. What is the actual distance between the cities?
Answer:
90 miles
Step-by-step explanation:
The person who answered first explained it well, so I dont have to.
have a nice day :)
Factor −13 out of −13x−8.
Answer:
i believe its x+5
Step-by-step explanation:
you add 13 to both numbers
Answer:
-13(x+ 8/13
Step-by-step explanation:
here is how
-13x-8 (factor out) - from each term
= -13(x+8/13)
If f(x) = -3x - 9, what is the value of f(6)?
Answer:
-27
Step-by-step explanation:
if f(6) you plug it into x
-3(6)-9
-18-9
-27
Find the constant of proportionality (r) in the equation y=rx
Answer:
0.1
Step-by-step explanation:
r = y/x
r = 1.4 / 14 = 0.1
Population (thousands) Land Area (square miles) Total Income (billions of dollars)
159.2 1,536.7 4.8
Determine the per capita income for this county. Round to the nearest cent.
The per capita income is the ratio of the total income to the population
The per capita income of the county is $30150.75
How to determine the per capita incomeThe given parameters are:
Population = 159.2 thousand
Land area = 1,536.7 square miles
Total income = $4.8 billion
The per capita income is then calculated as:
Per capita income (p) = total income /population
So, we have:
\(p = \frac{\$4.8\ billion}{159.2\ thousand}\)
Evaluate the quotient
\(p = \$30150.75\)
Hence, the per capita income of the county is $30150.75
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Joan wants to make a dinner plan for next week. how many different arrangements are there for the 7 days?
Answer:
5040
Step-by-step explanation:
an illustration of permutations
The given parameter is:
number of days
dinners for 7 days
Substitute known values
Two dice are cast. What is the probability that the sum of the two numbers does not exceed 10 (i.e. is less than or equal to 10)?
The probability is approximately 0.9167 or 91.67%.
To find the probability that the sum of two dice numbers does not exceed 10, we need to determine the favorable outcomes (sums less than or equal to 10) and the total possible outcomes when rolling two dice.
There are 36 possible outcomes when rolling two dice because each die has six faces (1, 2, 3, 4, 5, and 6), and the total number of outcomes is obtained by multiplying the number of outcomes for each die (6 * 6 = 36).
Now let's determine the favorable outcomes (sums less than or equal to 10):
When the sum is 2: There is only one combination (1 + 1).
When the sum is 3: There are two combinations (1 + 2 and 2 + 1).
When the sum is 4: There are three combinations (1 + 3, 2 + 2, and 3 + 1).
When the sum is 5: There are four combinations (1 + 4, 2 + 3, 3 + 2, and 4 + 1).
When the sum is 6: There are five combinations (1 + 5, 2 + 4, 3 + 3, 4 + 2, and 5 + 1).
When the sum is 7: There are six combinations (1 + 6, 2 + 5, 3 + 4, 4 + 3, 5 + 2, and 6 + 1).
When the sum is 8: There are five combinations (2 + 6, 3 + 5, 4 + 4, 5 + 3, and 6 + 2).
When the sum is 9: There are four combinations (3 + 6, 4 + 5, 5 + 4, and 6 + 3).
When the sum is 10: There are three combinations (4 + 6, 5 + 5, and 6 + 4).
Adding up the favorable outcomes, we get: 1 + 2 + 3 + 4 + 5 + 6 + 5 + 4 + 3 = 33.
Therefore, the probability that the sum of the two dice numbers does not exceed 10 is given by:
Probability = Favorable outcomes / Total outcomes = 33 / 36 = 11/12 ≈ 0.9167.
So, the probability is approximately 0.9167 or 91.67%.
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Solve this system of linear equations. Separate
the x- and y-values with a comma.
5x + 7y = -34
10x + 17y = -89
Answer:
(-9.6,2)
Step-by-step explanation:
hope i helped
pls can i get brainliest
-Zylynn
The seventh-grade class needs to earn money for a trip to the amusement park. Of the 160 seventh-grade students, 60% participate in the fundraiser. How many students participate in the fundraiser? (only write the number for your answer - no words please)
Answer:
96
Step-by-step explanation:
convert 60% to decimal=0.6
0.6x160=96 (you'll need a calc)
not sure abt my answer but its probably 96
the graph shows the number of girls and boys that were members of the schools debate during 5 years team
Answer: The number of girls on the debate team increased each year during these 5 years.
Step-by-step explanation:
7. Nam and Brandon each have a cylindrical canister of Pringles. Nam's cylinder has a diameter of 7
inches and a height of 13 inches. Brandon's cylinder has a diameter of 5 inches and a height of
20 inches. Whose cylinder has a larger surface area?
Answer:
Nam's Cylinder
a ______ is a descriptiion of the approach that is used to obtain samples from a population prior to an data collection activity.
A.
population frame
B.
sampling weight
C.
sampling plan
D.
probability interval
The correct answer is option C. A sampling plan refers to a detailed strategy for obtaining a sample from a population for the purpose of data collection.
It describes the precise procedures needed to choose the sample, determine the members of the sample, and gather the data.
The sampling strategy should take into account the type of sampling design, sample size, sampling process, and the methods to be employed for data collecting.
The strategy for implementing sampling should be outlined in the plan, along with instructions on how to make sure the sample is representative of the population, how to prevent bias in the sampling process, and how to make sure the data gathered is of high quality.
A good sampling plan should provide a clear and consistent method for gathering data and be founded on basic statistical concepts.
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Solve the given differential equation by separation of variables.
y ln x * (dx/dy) = [(y+1)/x]^2
The general solution to the differential equation. If initial conditions are given, we can solve for the constants C1 and C2.
The given differential equation is:
y ln x * (dx/dy) = [(y+1)/x]^2
We can solve this equation by separation of variables, which means we can rearrange the equation so that all the x terms are on one side and all the y terms are on the other side. Then, we can integrate both sides with respect to their respective variables.
First, we rewrite the equation in a form suitable for separation of variables:
y ln x dx = [(y+1)/x]^2 dy
Next, we separate the variables and integrate both sides:
∫y ln x dx = ∫[(y+1)/x]^2 dy
Integrating the left-hand side by parts, we have:
u = ln x dv = y dx
du/dx = 1/x v = (1/2) y^2
∫y ln x dx = (1/2) y^2 ln x - ∫(1/2) y dx
= (1/2) y^2 ln x - (1/4) y^2 + C1
where C1 is the constant of integration.
Integrating the right-hand side, we use the substitution u = y+1:
u = y+1 du = dy
∫[(y+1)/x]^2 dy = ∫(u/x)^2 du
= (1/x^2) ∫u^2 du
= (1/3x^2) u^3 + C2
where C2 is the constant of integration.
Substituting this back into the original equation, we have:
(1/2) y^2 ln x - (1/4) y^2 + C1 = (1/3x^2) (y+1)^3 + C2
This is the general solution to the differential equation. If initial conditions are given, we can solve for the constants C1 and C2.
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Given AB = CB and AD = CE prove DB = EB
Length DB is congruent to EB because triangle AEB = triangle CDB
What are Similar triangles?Similar triangles are triangles that have the same shape, but their sizes may vary. The corresponding angles of similar triangles are equal.
Also the ratio of corresponding sides of similar triangles are equal. This means that for two triangles to be similar the corresponding angles must be equal.
Since AC = CB and the bisector AC and CB are AD and CE respectively. And this bisectors are also equal, automatically, the remaining sides will also be equal.
Therefore DB = EB
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Solve the equation by putting it in factored form and using the zero product property: x2 + 12x +11 = 0
According to the given statement The solutions to the equation x² + 12x + 11 = 0 in factored form are x = -1 and x = -11.
To solve the equation x² + 12x + 11 = 0 using factored form and the zero product property:
The quadratic formula is given by: x = (-b ± √(b² - 4ac)) / (2a), where a, b, and c are the coefficients of the equation in the form ax² + bx + c = 0.
In this case, a = 1, b = 12, and c = 11. Plugging these values into the quadratic formula, we get:
x = (-(12) ± √((12)² - 4(1)(11))) / (2(1))
Simplifying further, we have:
x = (-12 ± √(144 - 44)) / 2
x = (-12 ± √100) / 2
Taking the square root of 100, we get √100 = 10.
So, the equation becomes:
x = (-12 ± 10) / 2
We can split this equation into two separate equations by using the plus and minus signs:
For the plus sign:
x = (-12 + 10) / 2
x = -2 / 2
x = -1
For the minus sign:
x = (-12 - 10) / 2
x = -22 / 2
x = -11
The solutions to the equation x² + 12x + 11 = 0 in factored form are x = -1 and x = -11.
By using the quadratic formula, we found that the equation can be factored as (x + 1)(x + 11) = 0, and the solutions are x = -1 and x = -11.
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9. Determine the end behavior of the given polynomial function: f(x) = -x-2x³ +3x+9.
Answer:
The graph increases as it approaches -∞.
The graph decreases as it approaches ∞.
Step-by-step explanation:
f(x) = -x - 2x³ + 3x + 9
f(x) = -2x³ + 3x - x+ 9
f(x) = -2x³ + 2x+ 9
Look at the highest exponent(which is 3).
SInce the highest exponent is odd, that means that the graph approaches infinity in a different direction as per negative infinity. Since the highest exponent has a negative sign:
The graph is going UP as x-values get SMALLER ( To -∞)
The graph is going DOWN as x-values get LARGER ( To ∞)
Hence:
The graph increases as it approaches -∞.
The graph decreases as it approaches ∞.
Answer:
Since the degree is odd, the ends of the function will point in the opposite directions.
Odd
Josh and Corey met up for lunch. When they were done, Josh traveled 8 blocks east and Corey traveled 4 blocks west. How many blocks away from Josh was Corey?
Answer:
12
Step-by-step explanation:
Since they traveled in opposite directions, we would add the 2 numbers!
8+4=12.
A store in Wildgrove purchased an antique pull toy at a cost of $890 and marked it up 200%. Later on, Jeffrey bought the antique pull toy. If the sales tax in Wildgrove is 10%, how much did he pay in all?
Answer: Jeffery paid $ 2937 in all.
Step-by-step explanation:
Given: The cost of antique pull = $890
Mark up percentage = 200%
New price = (cost) + (Mark up percentage) x (cost)
\(=\$( 890+\dfrac{200}{100}\times890)\\\\=\$( 890+2(890))\\\\=\$2670\)
After a tax of 10% , the amount needs to be paid = New price + 10% of New price
\(=\$(2670+\dfrac{10}{100}\times2670)=\$(2670+267)\\\\=\$2937\)
Hence, Jeffery paid $ 2937 in all.
A model car is constructed with a scale of 1:15. If the actual car is 12 feet long, which proportion represents the length x of the model car?
The length of the model car based on the information is 0.8 feet.
What is scale?It should be noted that scale simply shows the relationship between a measurement on a model as well as the corresponding measurement on the actual object.
From the information, the model car is constructed with a scale of 1:15.
When the actual car is 12 feet long, the length of the model will be illustrated as x. This will be:
= 1/15 = x / 12
Cross multiply
15x = 1 × 12
15x = 12
Divide
x = 12 / 15
x = 0.8
The length is 0.8 feet.
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T=(2*Z2/(Z2+Z1))
this is formula for what??
and prove the equation of matching layer with imdepence %
ultrasound trancduser% ,Zm1=(Zpc*Ztis )^0.5. by the relationship
above %T %
The given equation T=(2*Z2/(Z2+Z1)) represents the transmission coefficient for an acoustic impedance-matching layer. An impedance matching layer is a thin layer of material placed between two media with different acoustic impedances .
This layer allows sound waves to efficiently pass from one medium to another. The transmission coefficient of an acoustic impedance matching layer is given by the equation T = (2*Z2/(Z2+Z1)) where Z1 and Z2 are the acoustic impedances of the two media that are being interfaced by the matching layer.In ultrasound transducers, the matching layer is used to couple the piezoelectric element to the tissue being imaged.
This allows for the maximum transfer of acoustic energy from the piezoelectric element to the tissue being imaged.The relationship between the transmission coefficient and the impedance matching layer with impedance % is given by the equation .5where Zpc is the acoustic impedance of the piezoelectric element, and Ztis is the acoustic impedance of the tissue being imaged.Substituting Zm1 into the equation for T, Therefore, the equation for the transmission coefficient for an acoustic impedance-matching layer is T=(2*Z2/(Z2+Z1)), and the equation for the impedance matching layer with impedance .
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Which of the following represents the range of the graph below?
10l
- 10
10
- 10
Answer:
y>0
Step-by-step explanation:
The range is the values the y can take
We see that y is greater than zero
y>0
Write
an expression that is equal to logx(6)
To write an expression equal to logx(6), we need to understand what logarithm means. A logarithm is the inverse operation of exponentiation. It means that if we have an expression like x = a^b, we can find the value of b by taking the logarithm of x to the base a.
The expression loga(x) = b represents the value of the exponent that gives us x when a is raised to that power.
Now, to find an expression equal to logx(6), we need to determine the base of the logarithm. If the base is not specified, we assume it to be 10. Therefore, the expression logx(6) is equivalent to log10(6) / log10(x) (using the change of base formula). This expression represents the logarithm of 6 to the base x. In other words, it is the exponent to which x must be raised to get 6.
Alternatively, we can use natural logarithms (logarithms to the base e) to write the expression. In this case, logx(6) is equivalent to ln(6) / ln(x). The expression ln(6) represents the natural logarithm of 6, which is approximately equal to 1.792. This expression gives us the exponent to which e (the mathematical constant) must be raised to get 6.
In summary, the expression equal to logx(6) can be written as log10(6) / log10(x) or ln(6) / ln(x).
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an agency for the us government spends millions of dollars funding research on cancer. in particular, 20 research projects are funded to test a drug used to reduce pancreatic tumors. in one of these projects (project number 11) researchers find that the drug significantly reduces the size of tumors with a p-value of 0.027. there are no significant effects found in the other 19 projects (p-values all greater than 0.05) for the drug. given the entirety of this information, would it be proper to conclude that the drug is effective in reducing the size of pancreatic tumors?
The result from project number 11 suggests that the drug may be effective in reducing the size of pancreatic tumors, but it is not sufficient to conclude definitively that the drug is effective using hypothesis.
The p-value of 0.027 indicates that if there were truly no effect of the drug, the probability of observing a result as extreme as or more extreme than what was observed in project number 11 would be 0.027. This suggests that the result is unlikely to have occurred by chance alone. However, it is possible that the result is a false positive or due to chance variation, especially given that 20 research projects were conducted. It would be important to replicate the result in additional studies and consider the overall body of evidence before concluding definitively that the drug is effective.
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The garden club plants a rectangular garden that.
has been divided into six sections. the members
want to find the area of the sections they planted
with herbs. roberto says they can use the
expression 2(3)+2(3). jay says they can use the
expression (4.9) 3. why are both students
correct? explain your reasoning.
lution
lettuce
3 ft
herbs
2 ft
2 ft
3 ft
3 ft
tomatoes
Yes, Both the students are correct because both students calculate the area of a rectangular garden.
What is mean by Rectangle?A rectangle is a two dimension figure with 4 sides, 4 corners and 4 right angles. The opposite sides of the rectangle are equal and parallel to each other.
Given that;
Roberto says they can use the expression;
⇒ 2(3)+2(3)
And, Jay says they can use the expression;
⇒ (4.9) 3
Now,
Since, The garden club plants a rectangular garden that.
And, It has been divided into six sections.
Here, The members want to find the area of the sections they planted with herbs.
Roberto says they can use the expression;
⇒ 2(3)+2(3)
Clearly, Robert find the area of garden as;
⇒ 2(3)+2(3) = 12 ft²
And, Jay find the area of garden as;
⇒ (4.9) 3 = 14.7 ft²
Thus, Both the students are correct because both students calculate the area of a rectangular garden.
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A bakery offers a sale price of $2.60 for 6 muffins. What is the price per dozen?
Answer:
$5.20
Step-by-step explanation:
A dozen is 12, so multiply by two.
2.60 * 2 = $5.20
Answer:
5.20 for 12
Step-by-step explanation:
2.60 for 6
2.60*2=12
5.20 for 12