Answer:
Z-score = 0.9450
Step-by-step explanation:
Step(i):-
mean height of pine tree (x₁⁻) = 52
standard deviation of pine tree σ₁ = 3
Mean height of Jupiter tree ((x₂⁻) = 22
standard deviation of Jupiter tree σ₂ = 5
Size of first sample n₁ = 48
size of second sample n₂ = 33
Step(ii):-
Z-score
[tex]Z = \frac{x^{-} _{1} -x^{-} _{2} }{\sqrt{\frac{S.D^{2} }{n_{1} }+\frac{S.D^{2} }{n_{2} }} }[/tex]
[tex]Z = \frac{52 -22 }{\sqrt{\frac{3^{2} }{48 }+\frac{5^{2} }{33 }} }[/tex]
Z = 0.9450
Last one pleaseeeeeee
Answer:
[tex]C) 7[/tex]
Step-by-step explanation:
[tex]Let\ p(x)\ be\ x^3+kx^2+7x+5\\Let\ g(x)\ be\ (x+6).\\Hence, \ \\The\ zero\ of\ g(x) :\\(x+6)=0\\x=-6\\\\Hence,\\p(x)\ =\ x^3+kx^2+7x+5\\p(-6)=(-6)^3+k(-6)^2+7*-6+5\\=-216+36k-42+5\\=-253+36k\\\\Through\ Remainder\ Theorem\ we\ get\ that\ R=-1\ &\ R=-253+36k [Given]\\Hence,\\-253+36k=-1\\36k=-1+253\\36k=252\\k=7[/tex]
Matteo is following this recipe to mak
a cake.
He wants to make three of these
cakes.
How much of each ingredient does he
need?
Recipe: Makes 1 cake
6 ounces butter
5 ounces sugar
7 ounces of flour
3 eggs
2 teaspoons (tsps) baking powder
Pls help me I'm trying too sleep and they keep sending me homework
Answer:
Below is the step by step explaination of the procedure
Step-by-step explanation:
So since he wants to make three cakes we will multiply the recipe by 3 to get the amount of ingredients this person will need.
6*3 = 18 ounces of butter
5*3 = 15 ounces of sugar
7*3 = 21 ounces of flour
3*3 = 9 eggs
2 * 3 = 6 teaspoons of baking powder.
A certain factory produces and sells x kilograms of ice cream per month. It cost c dollars to produce one kilogram of ice cream, which is then sold for 0.16 dollars. The factory's monthly net profit is P dollars. Write an equation that relates x,c and P
Answer:
P=0.16x-c
............
Answer:
Khan Academy x(0.16-c)=P
Step-by-step explanation:
if x varies directly as y and x=4 when y=6,find the value of x when y=12
Answer:
10?
Step-by-step explanation:
a line passes through (-5,8) and (4,-1) what is the point slope method?
Answer:
m=-1
Step-by-step explanation:
Simplify the following expression by combining like terms:
7f + 8g + 4f + 3f + 6f + 2g
Answer:
20f + 10 g or 10(2f + g)
Step-by-step explanation:
7f + 4f + 3f + 6f = 20f
2g + 8g = 10g
PLS MARK BRAINLIEST
Answer:
20f+10g
Step-by-step explanation: That was actually really easy
A high school coach wants to buy new shirts for the 25 members of the track team. The coach must spend less than $300 on the shirts and needs to figure out how much he can spend per shirt, s.
Which of the following must be true about the inequality and the resulting graph? Select three options.
The inequality should be written as 25 s less-than 300.
The inequality should be written as 25 s greater-than 300.
The circle is open.
The circle is closed.
The arrow points left.
The correct options are 1, 3 and 5.
Step-by-step explanation:
Let the price of a new shirts be s.
The number of members is 25. The price of 25 shirts is 25s.
The cost must be less than $300. It means
Therefore option 1 is correct.
Divide both sides by 25.
The sign of inequality is < instead of ≤. It means the 12 is not included in the solution set.
Open circle is used for "<" and ">". Closed circle is used for "≤" and "≥".
Since the sign of inequality is <, therefore the circle is open and option 3 is correct.
The value of s is less than 12.
Therefore the arrow points left and option 5 is correct.
Answer:
A,C,E
Step-by-step explanation:
i got it right on edge 2021
A 747 airplane weighs about 600,000 pounds. It can also be expressed as approximately 3 times 10 Superscript n tons. If there are 2,000 pounds in 1 ton, which is the most reasonable value of n? –2 –1 2 4
Answer:
n=2
Step-by-step explanation:
2000 pounds = 1 ton 600000 pounds = X tons Hence X tons = (600000 x 1) ÷ 2000 = 300 tons 3 x 10ⁿ = 300 Hence 3 x 10ⁿ = 3 x 10² Hence n= 2
Answer:N = 2
Step-by-step explanation:
I took the quiz and got 100%
Evaluate -3 to the second power +(2-6)(10)
Answer:
Its -49.
Step-by-step explanation:
just use a calculator ;)
please helppp plisss
Answer:
18.66 degrees
Step-by-step explanation:
cómo representar números decimales terminales (finitos) como fracciones y números decimales periódicos no terminales (infinitos) como fracciones.
Answer:
Step-by-step explanation: how to represent terminal (finite) decimal numbers as fractions and nonterminal (infinite) repeating decimal numbers as fractions. for any one wondering what it is in english
identify this lobe and y-intercept of the line given by y equals to 4 x - 3
Answer:
Slope = 4
y-intercept = -3
Step-by-step explanation:
A slope describe the steepness of a graph, which can also be referred to as gradient. The general equation of a linear graph is given as:
y = mx ± c
where: m represents the slope of the graph and c the intercept on the required axis.
Given: y = 4x - 3
Comparing this equation with the general equation of a linear graph, it can be observed that; the slope is 4, while the intercept on the y axis is -3.
Thus,
slope = 4
intercept on the y axis = -3
The binomial (2x+9) is a factor of a quadratic equation 14x^ +57x - 27. What is the other factor of this expression?
Calculate the average rate of change from 3 to 9 seconds, in feet per second
Answer:
D is the Answeer
Step-by-step explanation:
Average rate of change from 3 to 9 seconds is -0.475 feet per second
What is Average rate of change?It is a measure of how much the function changed per unit, on average, over that interval
Given,
P(t) represents the height in feet and t represents the time in second
At t= 3 second, P(t) = 6.26 feet
At t=9 second, P(t) = 3.41 feet
Average rate of change = [tex]\frac{P(b)-P(a)}{b-a}[/tex]
Substitute the values in the equation
Average rate of change = [tex]\frac{P(9)-P(3)}{9-3}[/tex]
[tex]=\frac{3.41-6.26}{9-3}\\=\frac{-2.85}{6}\\[/tex]
= -0.475 feet per second
Hence, the Average rate of change from 3 to 9 seconds is -0.475 feet per second
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Will give brainliest... please help :)))!!! The time it takes to fly from Los Angeles to New York varies inversely as the speed of the plane. If the trip takes 5 hours at 950 km/h, how long would it take at 850 km/h?
PLZ HURRY IT'S URGENT!!!!
Represent the situation as a system of equations.
Rent a Truck rents a moving truck for $40.00 and $0.20 per mile.
Moving R Us rents the same moving truck for $1.00 per mile but with no upfront charge.
Let x represent the number of miles traveled.
Question 5 options:
y=40x+0.20 y=x+1
y=0.20x+40 y=x+1
y=40x+0.20 y=1.00x
y=0.20x+40 y=1.00x
Answer:
y=0.20x+40; y=1.00x
Step-by-step explanation:
Company 1 is charging upfront and then after u have a unknown variable for how many miles you drive. Company 2 is only charging you 1.00$ per mile driven and depending on how many miles you drove will depend on how much you will pay.
Mr. Smith is draining his pool to have it cleaned. At 8:00 A.M., it had 2000 gallons of water and at 11:00 A.M. it had 500 gallons left to drain. What is the rate of change in the amount of water in the pool?
Answer:
500 gallons per hour
Step-by-step explanation:
rate =2000-500 gallons/ 3hours
=1500 gallons/3 hours
=500gallons per hor
Using mathematical operations, we know that the rate of change is 500 gallons of water per hour.
What are mathematical operations?The rules that specify the order in which we should solve an expression involving many operations are known as the order of operations. PEMDAS stands for Parentheses, Exponents, Multiplication, Division, Addition, and Subtraction (from left to right). An operation is a function in mathematics that transforms zero or more input values into a clearly defined output value. The operation's arity is determined by the number of operands.So, the rate of change:
Hours passed is 3. (11 - 8 = 3)The water decreased after 3 hours is 1500. (2000 - 500 = 1500)Now, calculate as follows:
Rate of change = 2000 - 500/3Rate of change = 1500/3Rate of change = 500 per hourTherefore, using mathematical operations, we know that the rate of change is 500 gallons of water per hour.
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Here is a list of numbers 2 17 1 13 7 18 14 18 20 state the median
Answer:
14
Step-by-step explanation:
median is the number in the very middle when the numbers are organized in order:
1, 2, 7, 13, 14, 17, 18, 18, 20
if we start taking away from both ends we’ll get the answer
2, 7, 13, 14, 17, 18, 18
7, 13, 14, 17, 18
13, 14, 17
14
Median is 14.
What is median?Median is a statistical measure that determines the middle value of a dataset listed in ascending order (i.e., from smallest to largest value). The measure divides the lower half from the higher half of the dataset. Along with mean and mode, median is a measure of central tendency.
Given
List of numbers 2, 17, 1, 13, 7, 18, 14, 18, 20
Sort from smallest to largest number
1, 2, 7, 13, 14, 17, 18, 18, 20
Median is a statistical measure that determines the middle value of a dataset listed in ascending order (i.e., from smallest to largest value).
The middle value of the dataset is 14.
So, the median is 14.
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What is the LCM of 56 and 54
Answer:
1512
LCM = 2 × 2 × 2 × 3 × 3 × 3 × 7
= 1512
Rockwell hardness of pins of a certain type is known to have a mean value of 50 and a standard deviation of 1.2.a. If the distribution is normal, what is the probability that the sample mean hardness for a random sample of 9 pins is at least 51?b. Without assuming population normality, what is the (approximate) probability that the sample mean hardness for a random sample of 40 pins is at least 51?
Answer:
a
[tex]P(\= X \ge 51 ) =0.0062[/tex]
b
[tex]P(\= X \ge 51 ) = 0[/tex]
Step-by-step explanation:
From the question we are told that
The mean value is [tex]\mu = 50[/tex]
The standard deviation is [tex]\sigma = 1.2[/tex]
Considering question a
The sample size is n = 9
Generally the standard error of the mean is mathematically represented as
[tex]\sigma_x = \frac{\sigma }{\sqrt{n} }[/tex]
=> [tex]\sigma_x = \frac{ 1.2 }{\sqrt{9} }[/tex]
=> [tex]\sigma_x = 0.4[/tex]
Generally the probability that the sample mean hardness for a random sample of 9 pins is at least 51 is mathematically represented as
[tex]P(\= X \ge 51 ) = P( \frac{\= X - \mu }{\sigma_{x}} \ge \frac{51 - 50 }{0.4 } )[/tex]
[tex]\frac{\= X -\mu}{\sigma } = Z (The \ standardized \ value\ of \ \= X )[/tex]
[tex]P(\= X \ge 51 ) = P( Z \ge 2.5 )[/tex]
=> [tex]P(\= X \ge 51 ) =1- P( Z < 2.5 )[/tex]
From the z table the area under the normal curve to the left corresponding to 2.5 is
[tex]P( Z < 2.5 ) = 0.99379[/tex]
=> [tex]P(\= X \ge 51 ) =1-0.99379[/tex]
=> [tex]P(\= X \ge 51 ) =0.0062[/tex]
Considering question b
The sample size is n = 40
Generally the standard error of the mean is mathematically represented as
[tex]\sigma_x = \frac{\sigma }{\sqrt{n} }[/tex]
=> [tex]\sigma_x = \frac{ 1.2 }{\sqrt{40} }[/tex]
=> [tex]\sigma_x = 0.1897[/tex]
Generally the (approximate) probability that the sample mean hardness for a random sample of 40 pins is at least 51 is mathematically represented as
[tex]P(\= X \ge 51 ) = P( \frac{\= X - \mu }{\sigma_x} \ge \frac{51 - 50 }{0.1897 } )[/tex]
=> [tex]P(\= X \ge 51 ) = P(Z \ge 5.2715 )[/tex]
=> [tex]P(\= X \ge 51 ) = 1- P(Z < 5.2715 )[/tex]
From the z table the area under the normal curve to the left corresponding to 5.2715 and
=> [tex]P(Z < 5.2715 ) = 1[/tex]
So
[tex]P(\= X \ge 51 ) = 1- 1[/tex]
=> [tex]P(\= X \ge 51 ) = 0[/tex]
Using the normal distribution and the central limit theorem, we have that there is a:
a) 0.0062 = 0.62% probability that the sample mean hardness for a random sample of 9 pins is at least 51.
b) 0% approximate probability that the sample mean hardness for a random sample of 40 pins is at least 51.
In a normal distribution with mean and standard deviation , the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
It measures how many standard deviations the measure is from the mean. After finding the z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of X. By the Central Limit Theorem, the sampling distribution of sample means of size n has standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].In this problem:
Mean of 50, hence [tex]\mu = 50[/tex]Standard deviation of 1.2, hence [tex]\sigma = 1.2[/tex]Sample of 9, hence [tex]n = 9, s = \frac{1.2}{\sqrt{9}} = 0.4[/tex].Item a:
The probability is 1 subtracted by the p-value of Z when X = 51, hence:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
By the Central Limit Theorem
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{51 - 50}{0.4}[/tex]
[tex]Z = 2.5[/tex]
[tex]Z = 2.5[/tex] has a p-value of 0.9938.
1 - 0.9938 = 0.0062
There is a 0.0062 = 0.62% probability that the sample mean hardness for a random sample of 9 pins is at least 51.
Item b:
Even though the distribution is not normal, the sample size is of [tex]n = 40 > 30[/tex], hence the Central Limit Theorem can be applied.
[tex]s = \frac{1.2}{\sqrt{40}} = 0.19[/tex]
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{51 - 50}{0.19}[/tex]
[tex]Z = 5.26[/tex]
[tex]Z = 5.26[/tex] has a p-value of 1.
1 - 1 = 0
0% approximate probability that the sample mean hardness for a random sample of 40 pins is at least 51.
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Rachel will rent a car for the weekend. She can choose one of two plans. The first plan has an initial fee of $40 and costs an additional $0.15 per mile driven.
The second plan has an initial fee of $49 and costs an additional $0.10 per mile driven.
I struggle with math anything helps
Answer:
Depending on how many miles she plans to drive will drive her decision.
At 180 miles both plans will cost the same.
Before that the first plan is cheaper
After the second is cheaper
Step-by-step explanation:
Ben has a collection of Nickels and dimes has a total of $5.35 how maybe nickels and dimes does he need
Answer:
5.35$ worth
Step-by-step explanation:
An individual size pizza has a diameter of 8 inches. What size does a two person pizza have to be if each person gets the same amount as person with an individual pizza?
Leave your answer as a simplified radical
Answer:
16 inches
Step-by-step explanation:
Given that :
Diameter of individual size pizza = 8 inches
The size of 2 person pizza, if each person gets the same amount as an individual pizza
The diameter of a 2 person pizza will be :
2 * (diameter of one person pizza)
2 * 8 = 16 inches
How does the value of c affect the graph of f(x) = et+c?
Answer: A
Step-by-step explanation: c shifts the graph up or down.
Magdalena buys a lawnmower that costs $122.50. The
sales tax in her town is 8%. Write an equation of the
form y=kx to represent the amount of tax on an item
that costs x dollars. Use the equation to find the
amount of tax on the lawnmower. SHOW YOUR WORK. i need help asap!
Answer:
Here u go :3
Step-by-step explanation:
p = price
p=122.50x
x = 8%
122.50 * 0.08 = 9.80
The amount of sales tax on the lawnmower is $9.80.
A sales tax is a form of tax that is levied on the purchase of goods and services. Taxes increase the cost of a good or service. The amount of tax paid can bee determined by multiplying the tax rate by the cost of the lawnmower.
The amount of tax paid = cost of the lawnmower x sales tax
= $122.50 x 0.08
= $9.80
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Trenton and Maria record how much dry food their pets eat on average each day.• Trenton’s pet: 4/5 cup of dry food• Maria’s pet: 1.25 cups of dry food. Based on these averages, how many more cups of dry food will Maria’s pet have eaten than Trenton’s pet will have eaten over 2 seven-day weeks? *
1
Answer:
9/20
Step-by-step explanation:
so since trentons pet eats 4/5 of the food each day and marias eats 1.25 each day so we cant put 4/5 and 1.25 to see wat the awnser is so we make 1.25 a fraction 1 1/4 but the demoninators arent the same so what we do is make them the same so i multiply 4x5 and get 20 that is out new denominator and 4x4 is 16 so the 4/5 is now 16/20 and the 1 1/4 is 1 5/20 then subtract but since we have a whole number we subtract that first but they dont go together but we do it anyway and get 4 left over we put the 4 into the 5/20 and get 9/20 and thers ur awnser
Where did the student go wrong?
which of the following is the graph of y=g(x-4)-2
Answer:
need pictures of the graphs
Step-by-step explanation:
basically, you'll be looking for a graph that has shifted to the RIGHT 4 units and down 2 units
Hugh sold 4 cars during a 5 hour shift, and later sold 12 cars sold during a 15 hour shift.
Determine whether these relationships are proportional. Explain your reasoning.
PLSSSS HELPPPP!!!
Answer:
Yes they are proportional because he is selling cars at the same rate
Step-by-step explanation:
Is it just me or are any of you guys trying to find the answer to your question and it shows "theres no results" but you know there is? then when you go to ask it, it shows you the answers and its quite annoying
Answer:
YESS!
Step-by-step explanation: