The statistical test at the 5% significance level shows that we fail to reject the null hypothesis.
How to compute the statistical test?From the information given, the level of significance is 0.05 and n is 600. The degree of freedom will be:
= 4 - 1 = 3
The test statistic will be:
= ∑(O - E)²/E
= 6.92
The critical value is also given as 7.815 from the table. Since the test statistic is lesser than the critical value, we fail to reject the null hypothesis.
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Solve the following:
2x+15=35
Answer:
x = 10Step-by-step explanation:
Given
2x + 15 = 35#1) Subtract 15 from each side.
2x + 15 - 15 = 35 - 152x = 20#2) Divide 2 from each side.
2x/2 = 20/2x = 10Kenishas dog ate 15/20 of a bag of dog food last week.What is 15/20 in simplest form?
Answer:
15/20 in simplest form is 3/4
Step-by-step explanation:
15/20 in simplest form is 3/4 cause if you divide 15 by 5 you get 3 and if you divide 20 by 5 you get 4
The simplest form of the given fraction 15/20 is 3/4.
What is the fraction?In Mathematics, fractions are represented as a numerical value, which defines a part of a whole. A fraction can be a portion or section of any quantity out of a whole, where the whole can be any number, a specific value, or a thing.
Given that, Kenisha's dog ate 15/20 of a bag of dog food last week.
The simplest form is the smallest possible equivalent fraction of the number.
Here, simplest form of 15/20
Divide both the numerator and denominator by 5, we get
15÷5/20÷5 = 3/4
Therefore, the simplest form of the fraction is 3/4.
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A company sells kayaks for $575. Each kayak costs them $480 to manufacture. Write a linear function that represents the profit generated from selling the manufactured kayaks.
A linear function that represents the profit generated from selling the manufactured kayaks is P(x) = $575x - $480x.
What is the linear function that represents profit?
Profit is the total selling price of an item less the cost price.
Profit = selling price - cost price.
A linear function is a function that has a single variable raised to the power of 1. An example is x + 2 The variable x is raised to the power of 1. 2 is the constant terms.
P(x) = $575x - $480x.
Where x represents the number of manufactured kayaks sold
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Solve 5x 1 = 2x2 9x. which are steps in the process of completing the square used to solve the equation? 1 = 2(x2 2x) 1 = 2x2 4x 2 = 2(x2 2x 1) 3 = 2(x 1)2 2 = 2(x 1)2
Steps to complete the square used to solve the equation were discussed.
The given quadratic equation is:
[tex]5x+1=2x^{2} +9x[/tex].....(1)
What is a quadratic equation?Any equation of the form [tex]ax^{2} +bx+c=0[/tex] with [tex]a\neq 0[/tex] called a quadratic equation.
Rearranging the equation (1):
[tex]2x^{2} +9x-5x=1[/tex]
[tex]2x^{2} +4x=1[/tex]
[tex]2x^{2} +4x+2=1+2[/tex]
[tex]2x^{2} +4x+2=3[/tex]
[tex]2(x^{2} +2x+1)=3[/tex]
[tex]2(x+1)^2=3[/tex]........(2)
So, the required answer is equation (2).
Hence, steps in the process of completing the square used to solve the equation were discussed.
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There were 15 zebras at the children’s zoo. There were 2 more monkeys than zebras. There were 5 less goats than monkeys. How many zebras , goats , and monkeys altogether?
Answer:
altogether there are 42 animals at the zoo
Discussion: Descriptive Statistics
Graded Discussion
Discussion Topic
People use data and statistics to help them make important policy decisions, to identify problems in an organization, and to predict outcomes. In this
unit, you studied various ways to analyze and represent data sets to determine how to best interpret the data. You also learned how to critically examine
the data and account for outside factors that may influence the patterns you see in the data.
Think about the many statistical scores or rankings you receive in school, such as GPA, SAT and ACT scores, test scores, and class ranking. Describe
the usefulness and limitations of these pieces of data in defining who you are as a person or as a student. In what ways do they help give a clear
picture? What are they not conveying?
The importance of descriptive statistics is that it provides basic information about the variables in a dataset.
What is a descriptive statistics?A descriptive statistics simply means a description of the data set that are in a population.
Here, the importance of descriptive statistics is that it provides basic information about the variables in a dataset.
The limitation of descriptive statistics is that it only allows one to make summations about the objects measured.
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An example of a pendulum is the wrecking ball, which is sometimes used to tear down old buildings. The arm of a pendulum, in this case the ball, swings according to the formula: s= 2 pi sqrt l/32 where S is the amount of time, in seconds, for one full swing, and L is the length of the pendulum, in feet. If the wrecking ball is attached to the crane by a 50 ft cable, how long will it take for the wrecking ball to complete one full swing?
Answer:
v
Step-by-step explanation:
Anthony buys 3 lb of oranges and 1 lb of cherries. Katie buys 2 lb of oranges and 2 lb of cherries. Oranges cost d dollars per pound, and cherries cost c dollars per pound . Write and expression with exactly two terms for the total cost of the fruit Anthony and Katie buy. Show your work.
Answer:
5d + 3c = x
Step by step explanation:
5 oranges so 5d
3 cherries so 3c
What does the "area" of a pizza mean?
Does it mean either "The entire amount of pizza that will be eaten" or "The amount of crust around the outside of the pizza"
Answer:
The area is the entire pizza
Step-by-step explanation:
What does this mean pls help me I am gonna get a zero
Answer:
36 monkeys where sleeping
A model that has 4 points and 6 lines containing exactly two points
Answer:
4=point
6=line
4+6=10
the answer is 10
PLS HELP!! No links pls and Ty <333
Lee is baking a pie. The radius of the pie is 2 inches.
What is the circumference of the pie (use 3.14 for pi and round to the
nearest tenth)?
Answer:
12.6
Step-by-step explanation:
well the true answer is 12.56, i might of rounded wrong lol
Complete the table.
f(a) = -3a2 + 10
-1
0
1
2
Jason bought 405 berries in total to prepare for a breakfast party. He bought 8
times as many strawberries as blueberries.
How many of each berries did Jason buy?
Jason bought
strawberries and
blueberries
is 2+6x^2-2x a polynomial yes or no
Answer:
yes
Step-by-step explanation:
yes
Each term is a number or a number multiplied by a one or more variables.
The function f(x)=2^x and g(x)=f(x)+k. if k=2, what can be concluded about the graph?
the graph of g(x) is shifted vertically...
The graph ig g(x) si shifted horizontally
Answer:
Its shifted verticlly 2 and to the left 2.
Step-by-step explanation:
Its verticlly because when it says 2^x its going up if it said -2^x it would go down.
It goes left because it is 2^x=? so if you put it on the other side its negative which makes it to the left.
Which of the following is equivalent to ([tex]\sqrt[3]{x4}[/tex])[tex]x^{5}[/tex]
(hopefully i typed that in correctly )
A. x 12/5
B. x 15/4
C. x20/3
D. x^60
Answer:
15/4
Step-by-step explanation:
look it up on brainly
Are 2b + b and 3b equivalent expressions?
Answer:
the answer is yes
Step-by-step explanation:
yes it is an equivalent expression because 2b+b and 3b have the same value and length or numerator which equals yes.
-4K2 – 8k – 3 =-3 – 5K2
Solve by factoring
Answer:
k = 0 or 8
Step-by-step explanation:
First, get the variables and constants on their side.
-4k^2 + 5k^2 - 8k = -3 + 3 Now simplify
k^2 - 8k = 0 Factor
k(k - 8) = 0 Solve
k = [0, 8]
If you want you can double check your answer by plugging in the values you got. First, 0.
0 - 0 - 3 = -3 - 0
-3 = -3. That works, so we know 0 is correct. Now 8
-4(64) - 8(8) - 3 = -3 - 5(64)
-256 - 64 - 3 = -3 - 320
-320 - 3 = -323
-323 = -323 That also works, so we know 8 is correct.
I need help
Solve for x
Answer:
x = 21
Step-by-step explanation:
5x + 15 = 2x + 78
3x = 63
x = 21
Answer:
x = 21°
Step-by-step explanation:
As corresponding angles in parallel lines are equal,
5x + 15 = 2x + 78
And now let us solve for x.
5x + 15 = 2x + 78
5x + 15 - 2x = 78
3x + 15 = 78
3x = 78 - 15
3x = 63
Divide both sides by 3.
x = 21°
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Answer:
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Step-by-step explanation:
Answer:
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Step-by-step explanation:
Answer:
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Step-by-step explanation:
Answer:
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Step-by-step explanation:
Answer:
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Step-by-step explanation:
Answer:
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Step-by-step explanation:
Answer:
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Step-by-step explanation:
Answer:
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Step-by-step explanation:
help solve the problem
Answer:
$3.15
Step-by-step explanation:
1 dryer: 500 W
6 dryers: 6 × 500 W = 3000 W × (1 kW / 1000 W) = 3 kW
Running 6 dryers for 1 hour: 3 kW × $0.15 kWh = $0.45
Running 6 dryers for 7 hours: $0.45 × 7 = $3.15
A jug contains 2 gallons of water how Amy quarts of water does the jug contain
The ratio of boys to girls in a math class 7:8. Which statement must be true about this math class?
Answer:
That there are more girls than boys in the class
Step-by-step explanation:
If there are any answer choices i may be able to help a little more but from the information you gave i came to this conclusion :) Hope this helps
Which two intervals account for approximately 60% of Benji’s reading?
NO LINKS AND PLEASE HELP
WILL MARK THE BRAINLIEST
The speed that a tsunami can travel is modeled by the equation s = 356 startroot d endroot , where s is the speed in kilometers per hour and d is the average depth of the water in kilometers. what is the approximate depth of water for a tsunami traveling at 200 kilometers per hour? 0.32 km 0.75 km 1.12 km 3.17 km
The approximate depth of water for a tsunami traveling at 200 kilometers per hour is 0.32 km.
What is speed?Speed can be calculated as the ratio of distance traveled to the time taken.
The speed that a tsunami can travel is modeled by the equation
s = 356√d, where s is the speed in kilometers per hour and d is the average depth of the water in kilometers.
S = 356√d
200 = 356√d
√d = 200/356
= 0.5618
d = 0.5618^2
= 0.316 km
d = 0.32 km.
Thus, The approximate depth of water for a tsunami traveling at 200 kilometers per hour is 0.32 km.
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Answer:
A its a
Step-by-step explanation:
edge 22
help me pls i dont get it
Answer:
D. w² + 6w
Step-by-step explanation:
If the length is 6 ft more than the width, then:
width = wlength = w + 6Area of a rectangle = width × length
Substituting the given values:
⇒ Area of the garden = w(w + 6)
= w² + 6w
The cost of living in Seattle increases by 1.2% every year. If Noah spends $41,000 this year, how
much can he expect to spend 4 years from now to maintain the same standard of living? Roun
to the nearest dollar.
What is the radius of a circle whose equation is x2 y2 8x−6y 21=0? 2 units 3 units 4 units 5 units
The center of the circle x² + y² + 8x − 6y + 21 = 0 is at (-4, 3) and the radius of the circle is 2 units.
What is a circle?It is a locus of a point drawn an equidistant from the center. The distance from the center to the circumference is called the radius of the circle.
The equation of the circle is given as
x² + y² + 8x − 6y + 21 = 0
The equation can be written as
x² + 8x + 16 + y² − 6y 9 = 4
(x + 4)² + (y − 3)² = 2²
Then the center of the circle is at (-4, 3) and the radius of the circle is 2 units.
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Answer: ^ TDLR : 2 units / A
Step-by-step explanation:
edge 2023 x3
Cleveland and his family are on a road trip. If they have traveled 1/2 of the total distance in the past 4 days, what fraction of the total distance did when they travel per day?
Answer:
1/8
Step-by-step explanation: