If the p-value is 0.023 from a hypothesis test is compared to a significance level of 0.05, the conclusion which we would make is: A) accept the null hypothesis.
What is a p-value?A p-value is also referred to as the probability value and it can be defined as a probability which arises when the null hypothesis (H₀) is true of obtaining a sample result that is at least as unlikely as what is originally observed.
In Mathematics, the following rules are applicable to both a p-value and a hypothesis test:
Accept the null hypothesis when the p-value is greater than the significance level (alpha).Reject the null hypothesis when the p-value is less than the significance level (alpha).In this context, we can logically deduce that the null hypothesis would be accepted because the p-value (0.023) is greater than a significance level of 0.05 and not statistically significant.
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Given that (x - 2) is a factor of x³ + x² - 5ax + 2a², 'a' can take the value of 2 or which other number?
well now, let's recall the remainder theorem, check your textbook since we know you're Da Bomb and love to check that theorem.
well, we know a factor is (x-2) for the polynomial f(x), that means that f(2) = 0, so let's use that
[tex]f(x)=x^3+x^2-5ax+2a^2\hspace{5em}\stackrel{\textit{a factor of f(x)}}{(x-2)}\qquad thus\qquad f(2)=0 \\\\\\ 0=(2)^3+(2)^2-5a(2)+2a^2\implies 0=8+4-10a+2a^2 \\\\\\ 0=2a^2-10a+12\implies 0=2(a^2-5a+6) \\\\\\ 0=a^2-5a+6\implies 0=(a-2)(a-3)\implies a= \begin{cases} 2\\ 3 \end{cases}[/tex]
Find the intercepts and use them to graph the equation y=x-6
Answer:
x intercepts= (6,0)
y intercepts= (0,-6)
Step-by-step explanation:
I graphed the points.
Sixth grade > P.9 Add and subtract rational numbers GDR Add.
[tex] \frac{ - 3 \10{ + }{ - 9 \times \ \frac{910}{?} {?}{?} ?} {?} [/tex]
-
[tex] \frac{ - 3}{10 } + - 9 \times \frac{9}{10} =[/tex]
The result of the expression (-3/10) + -9 × 9/10 is -42/5
The expression is
(-3/10) + -9 × 9/10
The expression is the mathematical statement that consist of different variables, numbers and the mathematical operators.
The expression is
(-3/10) + -9 × 9/10
Here we have to do the suitable arithmetic operations
First do the multiplication in the given expression
= (-3/10) + (-9×9)/10
= (-3/10) + -81/10
Add the terms in the expression
Here the denominator of the both term is equal so we just need to add the numerators
= (-3 + -81) / 10
= (-3 - 81) / 10
= -84 / 10
Divide both numerator and denominator by 2
= -42/5
Hence, the result of the expression (-3/10) + -9 × 9/10 = -42/5
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In the triangle below, with right angle I, suppose that m< J= (2x+22)° and m < K = (5x-2)
Find the degree measure of each angle in the triangle.
m < I =
M< J =
m < K =
Answer:
Step-by-step explanation
so basically you need to see what m<I equals and do the same for the rest of them and you should get your answer and that would be let me see and m<k= -44 degrees and m<I and J= -10 degrees and there you have if this is not right i tried have the same step and ask another person
Please help! Select the equation that represents the following linear graph:
Kobe is 2.07 metres tall.
Marcus is 1.79 metres tall.
Stephen is taller than Marcus by half the difference between Kobe's height and
Marcus's height.
How tall, in metres, is Stephen?
Optional working
Two car owners are in need of car repairs. Elise will need to pay the mechanic $1 per
minute for labor, plus $350 to cover the cost of new parts. Kayla will need to pay $200
for parts and $2 per minute for labor. Depending on how long each repair takes, the
two jobs might end up costing the same amount ?
Answer:
yes, if the labor takes 150 minutes (or 2h 30 minutes)
Step-by-step explanation:
m + 350 = 2m + 200
2m - m = 350 - 200
m = 150
Use the equation below to find p, if m = 5 and v = 23.
p = mv
The numerical value of p in the equation p = mv, when m = 5 and v = 23 is 115.
What is the value of p in the given equation?Given the equation in the question;
p = mvm = 5v = 23To determine the value of p, plug in the values of m and v and simplify.
p = mv
Plug in m = 5 and v = 23
p = 5 × 23
Multiply 5 and 23
p = 115
Therefore, the value of p is 115.
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Answer:
115
Step-by-step explanation:
m = 5
v = 23
p = mv
p = (5)(23)
p = 115
8. ¿Cuántos cuadriláteros se pueden formar con los vértices de un pentágono regular?
The number of quadrilaterals that can be formed with the vertices of a regular pentagon is given by:
5.
How to obtain the number of quadrilaterals?The number of vertices for each polygon is given as follows:
Quadrilateral: 4 vertices.Pentagon: 5 vertices.Hence, to build the quadrilaterals, four vertices are taken from the set of five vertices of the pentagon.
The formula to be used is given as follows:
Permutation formula -> order of the vertices is not relevant.Combination formula -> order of the vertices relevant.The order of the vertices is not relevant, hence the combination formula is used, given as follows:
[tex]C_{n,x} = \frac{n!}{x!(n - x)!}[/tex]
Which gives the number of different combinations of x elements from a set of n elements.
Hence, in the context of this problem, the number of quadrilaterals is obtained as follows:
[tex]C_{5,4} = \frac{5!}{4!1!} = 5[/tex]
Translation
The problem asks for how many quadrilaterals can be formed with the vertices of a regular pentagon.
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Ann’s bakery bakes 450 loaves of bread in 3 days marks bakery 560 loaves of bread in 4 days which bakery bakes bread at faster rate
Answer: Marks bakery
Step-by-step explanation:
divide 450 by 3 = 150 loaves of bread Ann baked per day
divide 560 by 4= 140 loaves of bread Mark bakes per day
Thus Marks bakery bakes bread at a faster rate.
The table shows a proportional relationship. x 14 6 26 y 7 3 13 Describe what the graph of the proportional relationship would look like. A line passes through the point (0, 0) and continues through the point (7, 14). A line passes through the point (0, 0) and continues through the point (14, 7). A line passes through the point (0, 0) and continues through the point (3, 6). A line passes through the point (0, 0) and continues through the point (13, 26).
The graph of this proportional relationship would look like this: A line passes through the point (0, 0) and continues through the point (14, 7).
What is a graph?In Mathematics, a graph simply refers a type of chart that is typically used to graphically represent data points on both the horizontal and vertical lines of a cartesian coordinate, which are the x-coordinate (x-axis) and y-coordinate (y-axis).
Generally speaking, the graph of any proportional relationship is always characterized by a straight line with the data points passing through the origin (0, 0) because as the values on the x-coordinate (x-axis) increases or decreases, the values on the y-coordinate (y-axis) increases or decreases simultaneously.
By critically observing graph of this proportional relationship (see attachment), we can logically deduce that it passes through both points (0, 0) and (14, 7).
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a ski shop sells a pair of skis for $210. for a winter sale, the skis are 30% off. two weeks later, the shop has a clearence sale and sells the skis for 20% off the sale price. what is the clearence price of the skis
Answer: The skis cost $117.60.
Step-by-step explanation:
A pair of skis costing $210 is 30% off.
30% of $210 is $147
Then two weeks later, it will be 20% off THAT price.
20% of $147 is $117.60
Therefore, $117.60 is the clearence price of the skis. Hope this helps!
If T is the midpoint of RS and V lies between R and T, which statement must be true?
The statement which must be true given the premise that; T is the midpoint of RS and V lies between R and T is; Choice A; RV + VT = TS.
Which answer choice represents a true statement?It follows from the task content that the answer choice which represents a true statement regarding the given description be identified.
Since it is given that T is the midpoint of RS, it follows that;
RT = TS.
Also, it is given that point V lies between R and T; it therefore obviously follows that the equation which is true about RV and VT is;
RV + VT = RT.
Therefore, since segments RT and TS are equal;
It follows from the substitution property of equality that;
RV + VT = TS.
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How many 3/16-yard pies can be cut from 3/4 yard of ribbion?
The number of 3 / 16 yards pieces that can be cut from 3 / 4 yard of ribbon is 4.
How to find how many pieces of ribbon that can be cut?The actual length of the ribbon is 3 / 4 yards.
He wants to cut 3 / 16 yards pieces from the actual length of the ribbon.
Therefore, the number of 3 / 16 yard that can be cut from 3 / 4 yard of ribbon can be calculated as follows;
number of pieces of ribbon = 3 / 4 ÷ 3 / 16
number of pieces of ribbon = 3 / 4 × 16 / 3
number of pieces of ribbon = 48 / 12
Therefore,
number of pieces of ribbon = 4 yards
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3) 13q + 12r - 12q +5r+ 10
Answer:
the answer of this question is:
1q+17r+10
Fill in the blanks to solve 2,000x9
Answer: its 18,0000
Step-by-step explanation: Be smart 2x9= 18+ three 0,s?
PLEASE HELP!!!!! will give points
explain in detail
Can you find two numbers that can satisfy this pattern? 6, 24, 60, 120, 210, ___, ___,
Answer:
336, 504
Step-by-step explanation:
You want the next two numbers in the sequence beginning 6, 24, 60, 120, 210, ....
DifferencesWhen attempting to identify a sequence it is often useful to look at the differences between terms, then at the differences of those, and so on. If The differences at some level are constant, that level tells you the degree of the polynomial that will describe the sequence. If they have a common ratio, then the sequence will be based on an exponential function.
1st differences: 18, 36, 60, 90
2nd differences: 18, 24, 30
3rd differences: 6, 6 . . . . . . . . constant, indicating a cubic function
EquationWe can go to the trouble to write four equations in the four coefficients of the cubic describing this sequence, or we can let suitable technology find it for us. The attachment shows a graphing calculator solution for the coefficients. The 10^-14 value for the 'd' coefficient is effectively 0. This value is due to the inexact representation of numbers in the floating point arithmetic used by the calculator.
The equation of the n-th term a[n] is ...
a[n] = n³ +3n² +2n
The next two terms are ...
a[6] = 336
a[7] = 540
__
Additional comment
The equations for the coefficients of y = ax³ +bx² +cx +d will use the given sequence values and x values of 1..4. Here they are:
6 = a·1 +b·1 +c·1 +d
24 = a·8 +b·4 +c·2 +d
60 = a·27 +b·9 +c·3 +d
120 = a·64 +b·16 +c·4 +d
The second attachment shows a calculator solution for these four equations. (a, b, c, d) = (1, 3, 2, 0)
I need help please answer
a student observes a blood sample with a compound microscope that has a 10x ocular lens and a 40x objective lens. How much larger do the blood cells appear under the microscope?
If they observes a blood sample with a compound microscope that has a 10x ocular lens and a 40x objective lens. The larger that the blood cells appear under the microscope is: 400x.
How to determine the blood cells?Given data:
Blood sample has:
10x ocular lens
40x objective lens
Using this formula to determine how large the blood cells appear
Blood cells = ocular lens × objective lens
Let plug in the formula
Blood cells = 10x × 40x
Blood cells = 400x or 400 times larger
Therefore the blood cells appear 400 times larger.
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400 times larger
A 6-foot-tall woman walks at 8ft/s toward a streetlight that is 30 ft above the ground. At what rate is the tip of her shadow moving? I got nothing on this bit the picture, and don't know where to start. does anyone know how to solve this one?
The rate at which the tip of the woman's shadow is moving, found by making use of the relationships between similar triangle and differentiation is 10 ft/s
What are similar triangles?Similar triangles are triangle in which all three sides of one proportional to three sides of the other triangle
Height of the woman = 6 ft.
The speed with which the woman walks towards the streetlight = 8 ft/s
The length of the shadow of the woman
Height of the street light = 30 ft.
Let a represent the horizontal distance from the woman to the street light, and let b represent the horizontal distance from the woman to the tip of her shadow, from the similar triangles formed by the shadow, we have;
[tex]\dfrac{30}{x+y} =\dfrac{6}{y}[/tex]
Which gives;
[tex]y = \dfrac{x}{4}[/tex]
The length of the tip of the woman's shadow to the street light, l, in terms of x is therefore;
[tex]l =x + y = x + \dfrac{x}{4} = \dfrac{5\cdot x}{4}[/tex]
[tex]\dfrac{dx}{dt} = 8[/tex]
Therefore, dx = 8·dt
x(t) = 8·t
Writing the function for the l in terms of time t gives;
[tex]l = \dfrac{5\cdot x}{4}[/tex]
[tex]l = \dfrac{5\times 8\cdot t}{4} = \dfrac{40\cdot t}{4} = 10\cdot t[/tex]
The speed at which the tip of the shadow is moving,
[tex]\dfrac{dl}{dt} = \dfrac{d}{dt} \left (10\cdot t ) = 10[/tex]
The speed of the shadow dl/dx = 10 ft./s
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Sketch the graph of the quadratic function and the axis of symmetry. State the vertex, and give the equation for the axis of symmetry.
f(x)=-3(x+2)²+1
Use the graphing tool to graph the function as a solid curve and the axis of symmetry as a dashed line.
The function f(x) = -3(x + 2)² + 1 has it's vertex as (-2, 1) and an axis of symmetry x = -2
Graph of Quadratic FunctionThe graph of a quadratic function is called a parabola and has a curved shape. One of the main points of a parabola is its vertex. It is the highest or the lowest point on its graph. You can think of like an endpoint of a parabola.
In the given function;
f(x) = -3(x + 2)² + 1
Axis of symmetry is x = -2vertex = (-2, 1)Kindly find the attached graph of the function below
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Which of the terms below correctly describe(s) the number 17?
A-real
B-irrational
C-rational
D-integer
E-natural
F-imaginary
Answer:
A, C, D, E
Step-by-step explanation:
17 is a positive whole number
All whole numbers are integers and rational
Natural numbers are numbers that are positive whole numbers
It is real since you don't have any negative roots
The price of a new car was £12,500
It is reduced to £11,625
Work out the percentage reduction.
well, the reduction in value is £12500 - £11625 = £875.
if we take 12500 to be the 100%, what is 875 off of it in percentage?
[tex]\begin{array}{ccll} amount&\%\\ \cline{1-2} 12500 & 100\\ 875& x \end{array} \implies \cfrac{12500}{875}~~=~~\cfrac{100}{x} \\\\\\ \cfrac{100}{7}=\cfrac{100}{x}\implies 100x=700\implies x=\cfrac{700}{100}\implies x=7[/tex]
Answer: El porcentaje de reducción exacto es de: 7%, con esto el precio de descuento es de €875.
Value: 2
In the year 2000, the population of Ohio was 11.03 million people. By the year 2017 the
population of Ohio was 11.66 million people. Create an equation modeling the
population, p, of Ohio given the year, t. Round to the nearest hundredth if necessary.
O a. p=11.1t+232.14
O b. p=11.1t-11.66
O c. p=0.09t+191.93
O d. p=0.04x-68.97
Check Answer
An equation modeling the population, p, of Ohio given the year, t is,
p = 0.04t + 10.98.
What is population?
The term "population" refers to all citizens who are either permanently residing in a country or who are just passing through. This indicator reveals how many people typically reside in a certain area. Growth rates are the population changes that occur each year as a result of births, deaths, and net migration.
Given: In the year 2000, the population of Ohio was 11.03 million people. By the year 2017 the population of Ohio was 11.66 million people.
From this we get, two points (0, 11.03) and (17, 11.66).
First to find the slope using the above two points.
[tex]m=\frac{11.66 - 11.03}{17-0} = \frac{0.63}{17} = 0.04[/tex]
Now to find the equation,
Consider,
p - 11.66 = 0.04(t - 17)
p - 11.66 = 0.04t - 0.68
p = 0.04t - 0.68 + 11.66
p = 0.04t + 10.98
Therefore, the equation modeling the population, p, of Ohio given the year, t is, p = 0.04t + 10.98
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A party rental company has chairs and tables for rent. The total cost to rent 12 chairs and 2 tables is $35. The total cost to rent 3 chairs
and 5 tables is $47. What is the cost to rent each chair and each table?
The cost to rent chair is $1.5 and table is $8.5 .
In the question ,
it is given that
the cost to rent 12 chairs and 2 tables [tex]=[/tex] $35
and the cost to rent 3 chairs and 5 tables [tex]=[/tex] $47
let the cost for 1 chair ne "c"
and let the cost for 1 table = "t"
So , according to the question ,
the equations are
12c + 2t = 35 ....equation(1)
3c + 5t = 47 ....equation (2)
On multiply equation (2) by 4 and then subtracting equation (1) from it ,
we get
(12c + 20t) - (12c + 2t) = 188 - 35
12c + 20t - 12c -2t = 153
18t = 153
t = 153/18
t = 8.5
and 12c + 2(8.5) = 35
12c + 17 = 35
12c = 18
c = 18/12
c = 1.5
Therefore , The cost to rent chair is $1.5 and table is $8.5 .
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When five times a number is decreased by 9 , the result is 26 . What is the number?
Answer:
5x-9=26
Step-by-step explanation:
5x=35
5 5
x = 7
mark me on brainliest please follow me to
Answer:
x = 7
Step-by-step explanation:
When five times a number is decreased by 9 , the result is 26 . What is the number?
5x - 9 = 26
add 9 to both sides:
5x - 9 + 9 = 26 + 9
5x =35
divide both sides by 5:
5x/5 =35/5
x = 7
For Zendaya's lemonade recipe, 3 lemons are required to make 18 cups of lemonade. At what rate are lemons being used in cups of lemonade per lemon?
The unit rate of cups of lemonade per lemon is in the ratio of 6:1.
What is the unit rate?The unit rate is the ratio of two or more quantities or values that are compared to one another.
Unit rates are also known as the constants of proportionality, constant rate, rate of change, or slope.
Zendaya's Lemonade Recipe:The number of lemons required to make 18 cups of lemonade = 3 lemons
Rate of lemonade per lemon = 18/3 = 6/1
Ratio = 6:1 or 1:6
Conversely, the rate of lemon per cup of lemonade = 1/6
Thus, we can conclude that for Zendaya to make 6 cups of lemonade, she requires 1 lemon, or alternatively, the ratio of lemon to a cup of lemonade is 1:6.
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A sea otter is underwater. Its position below sea level changes by -73.5 ft in 3 minutes. What is the
average change in the otter's position each minute? Is the otter going deeper or toward the surface of
the water? Explain your reasoning. Show your work!!! (4 pts)
Change in Otter's position per minute:
The otter is swimming..
The average change in the otter's position each minute is -24.5 ft per minute and the otter goes deeper.
What is average change?
The ratio of "change in the function values" to "change in the interval endpoints" is referred to as the average rate of change of a function f(x) over an interval [a, b].
Here, we have
Sea level changes by -73.5 ft in 3 minutes
So, we apply the average change formula, and we get
= -73.5/3
= - 24.5 ft per minute
And the otter goes deeper because - 24.5 < 0
Hence, the average change in the otter's position each minute is -24.5 ft per minute and the otter goes deeper.
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Suppose a large consignment of compact discs contained 13% defectives.
If a sample of size 329 is selected, what is the probability that the sample proportion will differ from the population proportion by more than 3%? Round your answer to four decimal places.
The probability that the sample proportion will differ from the population proportion by more than 3% is 0.8948
How to calculate the probability?The requirement to solve the probability between z-values is to know that the probability between the z-values is the difference between the probability of the greatest z-value and the lowest z-value.
In this case, the sample proportion:
= ✓[p(1 - p)/n]
= ✓(0.13 × 0.87)/329
= 0.01854.
The probability will be:
P(-0.03 / 0.01854) < z < (0.03 / 0.01854)
P(-1.62 < z < 1.62)
Looking at the z table, the probability is 0.08948
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2. When a large truckload of mangoes arrives at a packing plant, a random sample of 150 is selected and examined for
bruises, discoloration, and other defects. Suppose 15 mangoes do not meet the required standards.
(a) Estimate with 90% confidence the percent of all mangoes on the truck that fail to meet the standards.
(b) What was the margin of error associated with your estimate. Explain its meaning.
(c) Explain the meaning of “90% confidence” in the context of this application.
(d) What would be the most conservative sample size necessary to estimate the true percent of mangoes that fail to
meet standards within 3% at 90% confidence?
a) The 90% confidence interval of the percentage of all mangoes on the truck that fail to meet the standards is: (7.55%, 12.45%).
b) The margin of error is: 2.45%.
c) The 90% confidence is the level of confidence that the true population percentage is in the interval.
d) The needed sample size is: 271.
What is a confidence interval of proportions?A confidence interval of proportions has the bounds given by the rule presented as follows:
[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
The margin of error is given by:
[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
The variables are listed as follows:
[tex]\pi[/tex] is the sample proportion, which is also the estimate of the parameter.z is the critical value.n is the sample size.The confidence level is of 90%, hence the critical value z is the value of Z that has a p-value of [tex]\frac{1+0.90}{2} = 0.95[/tex], so the critical value is z = 1.645.
The sample size and the estimate are given as follows:
[tex]n = 150, \pi = \frac{15}{150} = 0.1[/tex]
The margin of error is of:
[tex]M = z\sqrt{\frac{0.1(0.9)}{150}} = 0.0245 = 2.45\%[/tex]
The interval is given by the estimate plus/minus the margin of error, hence:
The lower bound is: 10 - 2.45 = 7.55%.The upper bound is: 10 + 2.45 = 12.45%.For a margin of error of 3% = 0.03, the needed sample size is obtained as follows:
[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
[tex]0.03 = 1.645\sqrt{\frac{0.1(0.9)}{n}}[/tex]
[tex]0.03\sqrt{n} = 1.645\sqrt{0.1(0.9)}[/tex]
[tex]\sqrt{n} = \frac{1.645\sqrt{0.1(0.9)}}{0.03}[/tex]
[tex](\sqrt{n}})^2 = \left(\frac{1.645\sqrt{0.1(0.9)}}{0.03}\right)^2[/tex]
n = 271 (rounded up).
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