Answer:
We accept the null hypothesis that the breaking strength mean is less and equal to 1750 pounds and has not increased.
Step-by-step explanation:
The null and alternative hypotheses are stated as
H0: u ≥ 1750 i.e the mean is less and equal to 1750
against the claim
Ha: u > 1750 ( one tailed test) the mean is greater than 1750
Sample mean = x`= 1754
Population mean = u = 1750
Population deviation= σ = 65 pounds
Sample size= n = 100
Applying the Z test
z= x`- u / σ/ √n
z= 1754- 1750 / 65/ √100
z= 4/6.5
z= 0.6154
The significance level alpha = 0.1
The z - value at 0.1 for one tailed test is ± 1.28
The critical value is z > z∝.
so
0.6154 is < 1.28
We accept the null hypothesis that the breaking strength mean is less and equal to 1750 pounds and has not increased.
Select three ratios that are equivalent to
8
:
20
8:208, colon, 20.
Choose 3 answers:
Choose 3 answers:
(Choice A)
A
1
:
4
1:41, colon, 4
(Choice B)
B
4
:
10
4:104, colon, 10
(Choice C)
C
24
:
60
24:6024, colon, 60
(Choice D)
D
2
:
5
2:52, colon, 5
(Choice E)
E
10
:
24
10:24
Answer:
Its b,c,d
Step-by-step explanation:
How long would it take the money to triple in value, if it is continuously compounding at 18% ?
Answer:
therefore t = 1.0986122887 0.06 = 18.31 hence to the nearest year, it will it take 18 years for an investment to triple, if it is continuously compounded at 6 % per year.
Step-by-step explanation:
2+5x+1/2x^3dx
Answer
Answer:
[tex]2x+\frac{5x^2}{2}+\frac{x^4}{8}+C[/tex]
Step-by-step explanation:
I notice you have a dx at the end of the equation, this leads me to believe this is an integral. With no bounds of integration, I will solve for the indefinite integral. I will also interpret your equation as follows:
[tex]\int \:2+5x+\frac{1}{2}x^3dx[/tex]
Sum rule tells us:
[tex]\int \:2dx+\int \:5xdx+\int \frac{1}{2}x^3dx[/tex]
From this we get:
[tex]2x+\frac{5x^2}{2}+\frac{x^4}{8}[/tex]
Don't forget to add the constant!
[tex]2x+\frac{5x^2}{2}+\frac{x^4}{8}+C[/tex]
if someone could explain this to me :((
Answer:
A) (0,2)
Step-by-step explanation:
The Y-Intercept is where the line on the coordinate plane meets the y axis which in this case is 2
Answer:
A. (0, 2)
Step-by-step explanation:
So first things first, you will want to either put the line on a graph by hand or, in a graphing calculator, I recommend DESMOS
the table is a set of coordinates so
(-4, -18) (-2.5, -10.5) (-.4, 0) (0, 2) (2, 12)
Then you'll put these coordinates into a graph and the point you see touching the y-line is your answer, (0, 2)
hope this helps!!
the mean of four numbers is 9 what is the total of the four numbers?
Answer:
36
Step-by-step explanation:
36/4 = 9 wish this helps!
Help I’m being timed
Answer:
its always the third one
Step-by-step explanation:
Have a good day
Answer:
I would say 32 but I'm not sure
Step-by-step explanation:
Which of the following situations represent linear growth? Check all of the boxes that apply.
Martin’s savings account increases because he deposits $25 each week.
Cali’s pay increases by 3% per year.
Each week, an athlete getting into shape loses 2 pounds.
Mei-Lin earns $9 an hour at her job.
Answer:
A, C, and D.
Step-by-step explanation:
The situations that represent linear growth are:
a) Martin's savings account increases because he deposits $25 each week.
d) Mei-Lin earns $9 an hour at her job.
Given are conditions, we need to check which of them shows a linear growth,
Linear growth refers to a constant increase in a variable over time or with respect to another factor.
In both situations (a) and (d), the variables involved change at a constant rate.
In situation (a), Martin's savings account increases by $25 each week. This represents linear growth because the savings account balance is increasing by a fixed amount ($25) on a regular basis (each week).
In situation (d), Mei-Lin earns $9 an hour at her job. This also represents linear growth as the amount Mei-Lin earns increases at a fixed rate ($9) per unit of time (hour).
On the other hand, situations (b) and (c) do not represent linear growth:
In situation (b), Cali's pay increases by 3% per year. This represents exponential growth, not linear growth, because the percentage increase is applied to the current value each year, resulting in a compounding effect.
In situation (c), an athlete getting into shape loses 2 pounds each week. This represents a constant rate of change, but it is not linear growth because the weight loss is decreasing over time.
As the athlete loses weight, the rate of loss may decrease due to factors like metabolism or diminishing returns.
Hence the correct options are a) and d).
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Sandra deposited $2,500 into a simple interest account.
She earned $ 75 in interest after 11 year.
Ron deposited $8,000 into an account that has the same interest rate as Sandra’s account.
How much money did Ron earn in interest after 11 year?
Show your work.
Answer:
240$
Step-by-step explanation:
we know that
The simple interest formula is equal to
I=P(rt)
where
I is the Final Interest Value
P is the Principal amount of money to be invested
r is the rate of interest
t is Number of Time Periods
in this problem we have
Sandra
t = 1 year
I= $75
P= $2,500
r= ?
substitute in the formula above
75=2,500 (r(1))
solve for r
r=75/2,500)
r= 0.03
Convert to percentage form
r= 0.03 * 100 = 3%
Ron
t=1 year
I = ?
P= 8,000
r= 0.03
substitute in the formula of interest
I = 8,000(0.03 *1)
I = $240
whats 40 = 1.6m ? help please
Answer:
2.5
Step-by-step explanation:
Divide each side by 1.6 to get m alone, thus getting the answer, so 1.6m/1.6 and 40/1.6
The solution of the equation 40 = 1.6 m is m is equals to 25.
Given Equation:
40 = 1.6m
Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
First, write the decimal 1.6 in fraction as 16/10.
So, the equation can be written as
40 = 16/10 (m)
40 x 10 = 16m
400 = 16 m
Now, divide both side of equation by 16
400/ 16= 16 m/ 16
25 = m
Therefore, the value of m is 25.
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HELP FAST FAST FAST FAST
Answer:
the sum of the numbers on Ella's five cards is -5
Step-by-step explanation:
1. The ratio of 2h to 30min is
A. 1:15
B. 4:1
C. none of these
Answer:
B. 4:1
Step-by-step explanation:
Since its 2 hours:30 minutes, in hours that is 2:1/2. So then if you want it in whole numbers you just multiply 2:1/2× 2 which would be 4:1.
Which expression is equivalent to 20 + 5 X 9
What is the x intercept of the graph of the inequality 2x + 3y > 12
Answer: x intercept = 6
This is the location (6,0)
===============================================================
Explanation:
I assume you're talking about the boundary line of the inequality. The boundary line equation is 2x + 3y = 12
To find the x intercept, plug in y = 0 and solve for x
2x + 3y = 12
2x + 3(0) = 12
2x = 12
x = 12/2
x = 6
The boundary line 2x+3y = 12 crosses the x axis at x = 6.
We can say the x intercept is x = 6. This is the location (6,0).
Side note: the y intercept is y = 4, which is found by plugging in x = 0 and solving for y.
Express g(x) = x4 + 2x3 − x2 + 4x + 12 as the product of linear and irreducible quadratic terms.
Rachel received 5/8 of the 72 vote cast for class president. How many votes did she receive
Answer: Rachel recieved 45 votes.
Step-by-step explanation: Any easy way to solve this is to has the demonimator equal the total amount of votes. So in the questions, 8 is the denominator and 72 is the total amount of votes. To get from 8 to 72, you need to multiple 8 by 9. And whatever you do to the denominator, you must do to the numerator. So, 5 times 9 equal 45 which is the number of votes Rachel recieved.
a number d minus 2 is less than -1 as an inequality
Answer:
(d-2) <-1
Step-by-step explanation:
The number be d. d minus 2 means (d-2).
(d-2) is less than -1.
It means,
(d-2) <-1
It is the required inequality.
So,
Adding 1 both sides.
d-2+1 <-1+1
d-1<0
or
d<1
Hence, this is the required solution.
Carlos saves aluminum cans to sell to the recycling center. He recently recycled 43 pounds of cans and received $23.65. How many dollars would he get at this rate for recycling 200 pounds of cans?
Answer:
$354
Step-by-step explanation:
first we need to find out how much 1 lb of can is then we can multiply that by 200 to get the answer.
so I divided 43 by 23.65 and got 1.81818181
i'll round that to $1.82 so that equals 1 lb of a can
multiply that by 200
the answer is $354
For recycling 200 pounds of cans, he will get $110.
What is equation modelling? What is a mathematical equation and expression?Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.A mathematical expression is made up of terms (constants and variables) separated by mathematical operators.A mathematical equation is used to equate two expressions.Given is that Carlos saves aluminum cans to sell to the recycling center. He recently recycled 43 pounds of cans and received $23.65.
For 43 pounds, he recieved $23.65
For 1 pound, he will receive $(23.65/43)
For 200 pounds, she will receive $(23.65/43) x 200 or $110.
Therefore, for recycling 200 pounds of cans, he will get $110.
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write the equation of the line that passes through the pair of points (0,2 ) and (4,-1) in slope intercept form?
Answer:
y=[tex]\frac{3}{-4}[/tex]x+2
Step-by-step explanation:
Use equation M= [tex]\frac{y2-y1}{x2-x1}[/tex]
this will give you the slope of the line.
to get b which is the y intercept take the y intercept which is 2
If b = -3, find
answer
Answer:
-2
Step-by-step explanation:
[tex](-3)^2+3(-3)-2\\=9-9-2\\=-2[/tex]
5(4n) simplify the equation
1. Simplify by multiplying 5 * 4.
20n
----------
Done by NeighborhoodDealer.
A popular sports drink uses sugar as a sweetener the ratio of pints of sports drink to grams of sugar is 5:16. Erika only wants to consume 4 grams of sugar from her sports drink. How many pints of the sports drink can erika drink?
Answer:
Step-by-step explanation:
p/s=5/16
x/4=5/16
x=4(5)/16
x=20/16
x=5/4
x=1.25 pints
A large mixing tank initially contains 1000 gallons of water in which 40 pounds of salt have been dissolved. Another brine solution is pumped into the tank at the rate of 5 gallons per minute, and the resulting mixture is pumped out at the same rate. The concentration of the incoming brine solution is 3 pounds of salt per gallon. If img represents the amount of salt in the tank at time t, the correct differential equation for A is:______.
A) dA/dT=3--.005A
B) dA/dT=5--.05A
C) dA/dT=15--.005A
D) dA/dT=3--.05A
E) dA/dT=15+.05A
Answer:
If A(t) represents the amount of salt in the tank at time t, the correct differential equation for A is is dA/dt = 15 - 0.005A
Option C) dA/dt = 15 - 0.005A is the correction Answer
Step-by-step explanation:
Given the data in the question;
If A(t) represents the amount of salt in the tank at time t, the correct differential equation for A is?
dA/dt = rate in - rate out
first we determine the rate in and rate out;
rate in = 3pound/gallon × 5gallons/min = 15 pound/min
rate out = A pounds/1000gallons × 5gallons/min = 5Ag/1000pounds/min
= 0.005A pounds/min
so we substitute
dA/dt = rate in - rate out
dA/dt = 15 - 0.005A
Therefore, If A(t) represents the amount of salt in the tank at time t, the correct differential equation for A is is dA/dt = 15 - 0.005A
Option C) dA/dt = 15 - 0.005A is the correction Answer
Patrick had $10. Then, he saved $3.75 each week for 5 weeks. How much money does he have
now?
Answer:
Step-by-step explanation
$3.75x5=18.75
18.75+10=$28.75
Step-by-step explanation:
So he starts with 10. That would be our y-intercept. That means that 3.75 is the slope because he saves that amount of money each week. So the equation would be y = 3.75x + 10.
The x represents the number of weeks (5), so we will plug that into the equation (y = 3.75(5) + 10).
Multiply 5 and 3.75 to get 18.75
Add 10 to get 28.75
therefore the answer is 28.75A cone has a base area of 20 m and a volume of 160 m. Find the height of the cone
Given:
Base area of cone =20 m²
Volume of the cone = 160 m³
To find:
The height of the cone.
Solution:
We know that, the volume of a cone is
[tex]V=\dfrac{1}{3}Bh[/tex]
Where, B is the base area and h is the height of the cone.
Putting V=160 and B=20, we get
[tex]160=\dfrac{1}{3}(20)h[/tex]
[tex]480=20h[/tex]
[tex]\dfrac{480}{20}=h[/tex]
[tex]24=h[/tex]
Therefore, the height of the cone is 24 m.
How many sides does a regular polygon have if each exterior angle has a measure of 15° ?
Answer:
24
Step-by-step explanation:
A polygon equals 360
360/15 = 24
I have data with 2 independent variables measuring the effectiveness of 3 different antibiotics at different dosages. I don't know if I should use a bar graph or line graph
Stefani received a loan for $2,000 and now has acquired $720 in interest. If she pays an annual interest of 4.5% on the amount borrowed. how much time has elapsed since Stefani received the loan?
Answer:
8 years.
Step-by-step explanation:
First, converting R percent to r a decimal
r = R/100 = 4.5%/100 = 0.045 per year,
then, solving our equation
t = 720 / ( 2000 × 0.045 ) = 8
t = 8 years
The time required to
accumulate simple interest of $ 720.00
from a principal of $ 2,000.00
at an interest rate of 4.5% per year
is 8 years.
Show work
4.87 x 7.23
Answer:
Step-by-step explanation:
Here are your workings
4.87 x 7.23 simplify
Step 2
(4.87)(7.23) Add brackets(Optional)
Then you multiply the two exponents to get 35.2101
Your answer would be 35.2101
Mr. Voelz estimates that he will spend $10 on concessions at the basketball game, He actually spends $15. What is the percent error?
PLEASE ANSWER
Answer:
.........................................................................................................................................................................
Step-by-step explanation:
Which property is represented below? 12+(8+5)=(12+8)+5
A. Associative property of addition
B. Associative property of multiplication
C. Commutative property of addition
D. Commutative property of multiplication