Answer:
B
Step-by-step explanation:
To calculate the square feet of fertilizer he would be needing to cover his garden, what we need to do is simply find the area of the garden
Mathematically that would be the length of the garden multiplied by its width since it is a rectangular sharped garden
The area is thus;
33 * 39 = 1287 ft^2
For a hypothesis test of H0: p = 0.40 against the alternative Ha: p > 0.40, the z test statistic is found to be 2.25. What can be said about this finding?
a. The finding is significant at both α = 0.05 and α = 0.01.
b. The finding is significant at α = 0.05 but not at α = 0.01.
c. The finding is significant at α = 0.01 but not at α = 0.05.
d. The finding is not significant at α = 0.05 and α = 0.01.
e. The finding is inconclusive because we don't know the value of p-hat.
Answer:
B
Step-by-step explanation:
The first thing we need to do here is to find the probability value that corresponds to z-score of 2.25
While this is traceable using the normal distribution table, we can easily find it using the Normal distribution function in excel
By using this, we get the probability P value of the z score 2.25 to be 0.012224
Now, before we can accept or reject H0, we need to compare the value of P to the significance level alpha
If P ≤ alpha, we reject the null hypothesis H0
At alpha = 0.05, p value is lesser , we reject the null hypothesis.
At alpha P 0.01, p value is greater so we accept null hypothesis
This shows that the finding is significant at alpha = 0.05 (since we rejected null hypothesis) but not at alpha = 0.01(since we accepted null hypothesis)
the The finding should be option b. The finding is significant at α = 0.05 but not at α = 0.01.
Calculation of the probability value:Since the z test statistic is found to be 2.25.
Now the P value of the z score 2.25 to be 0.012224
In the case when P ≤ alpha, we reject the null hypothesis H0
Now
At alpha = 0.05, the p-value is lesser, we reject the null hypothesis.
At alpha P 0.01, p value is more so we accept null hypothesis
Therefore, the option b is correct.
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Which graph represents this function, f(x)=1/2x-5
Answer:
If I'm not mistaken your graph is supposed to be like this
Step-by-step explanation:
Hope this is correct and helpful
HAVE A GOOD DAY!
If r(x) = 3x – 1 and s(x) = 2x + 1, which expression is equivalent to (StartFraction r Over s EndFraction) (6)? StartFraction 3 (6) minus 1 Over 2 (6) + 1 EndFraction StartFraction (6) Over 2 (6) + 1 EndFraction StartFraction 36 minus 1 Over 26 + 1 EndFraction StartFraction (6) minus 1 Over (6) + 1 EndFraction
Answer:
[tex]\dfrac{3(6)-1}{2(6)+1}[/tex]
Step-by-step explanation:
For ...
r(x) = 3x -1 s(x) = 2x +1The expression (r/s)(6) is ...
[tex]\left(\dfrac{r}{s}\right)(6) = \left.\dfrac{3x-1}{2x+1}\right|_{x=6}=\boxed{\dfrac{3(6)-1}{2(6)+1}}[/tex]
Answer:
A
Step-by-step explanation:
Max must take 10 steps to go the same distance as three of his dad's steps. His dad takes 30 steps to walk down the hall. How many steps must Max take to walk down the same hall?
Max : 10 steps : Dad: 3 steps.
So it you multiply those each by ten, you get
100 steps : 30 steps.
30 Dad steps is 100 Max steps, so you get the answer, which is 100!
The steps taken by Max is 100.
what is arithmetic operators?A mathematical function that performs a calculation on two operands is known as an arithmetic operator. Common arithmetic makes use of them, and the majority of computer languages include a set of such operators that can be used in equations to carry out a variety of sequential calculations.
Given
steps taken by Max = 10
Steps taken by his Dad = 3
both steps of Dad and steps of Max should be in ratio
3/10 …(1)
steps taken by his Dad = 30
let steps taken by Max = x
ratio = 30/x …..(2)
equation 1 equals equation 2
3/10 = 30/x
x = (30 x 10)/3
x = 100
Hence Max must take 100 steps.
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Determine the settlement set of the following trigonometric equations! cos (x - 1/3π) = cos 1/2π, 0 ≤ x ≤ 2π
cos (x - π/3) = cos (π/2)
Then we need x - π/3 = π/2
Solving the equation:
x - π/3 = π/2
x = π/2 + π/3
x = 5π/6
Factor 2x2+5x+2 I need just the answers in the box that it i don't need u to show ur work (please be quick)
Answer:
2x²+5x+2=(2x+1)(x+2)
Answer:
See details below
Step-by-step explanation:
in ax^2+bx+c = 2x^2+5x+2,
a=2,b=5,c=2.
1. a*c = 2*2 = 4
2. factor 4 to get 1,2,4, Factors that add to b=5 are 1 & 4.
3. (2x^2+x) + (4x+2)
4. x(2x+1) + 2(2x+1)
5. (2x+1)
6. (2x+1) ( x+2)
Some of the details may not be the same as what is expected as we do not know the format expected.
The probability that two independent events both occur is the sum of the probabilities of each independent event. 4. When choosing a card randomly from a deck of cards, choosing a 5 or a spade are not
Answer:
(i) False
(ii) Selecting a 5 or a spade are not independent.
Step-by-step explanation:
(i)
Independent events are those events that occur at the same time, i.e. the occurrence of one event does not effects the occurrence of the other.
If A and B are independent events then: [tex]P(A\cap B)=P(A)\times P(B)[/tex]
Whereas as if two events are mutually exclusive, then the probability of them both taking place at the same time is 0.
Then for events A and B: [tex]P(A\cap B)=0[/tex]
Thus, the statement is False.
(ii)
In a standard deck of 52 cards there are:
Spades = 13
Diamond = 13
Heart = 13
Clubs = 13
And each of these 13 cards are:
K, Q, J, 10, 9, 8, 7, 6, 5, 4, 3, 2, A
If a card labelled as 5 is selected then it could also be a Spade.
And if a spade is selected then the card could be labelled as 5.
So, selecting a 5 or a spade are not independent.
What are the measures of angles M and N?
mM = 61° and mN = 113
mM = 67 and mN= 119
mM = 113 and mN = 61
mM = 119 and mN = 67
Answer:
mM = 113 and mN = 61
Step-by-step explanation:
In a Cyclic quadrilateral, the rule states that:
The sum opposite interior angles is equal to 180°
In the above diagram, we have cyclic quadrilateral KLMN
According to the rule stated above:
Angle K is Opposite to Angle M
So, Angle K + Angle M = 180°
Angle K = 67°
67° + Angle M = 180°
Angle M = 180° - 67°
Angle M = 113°
Angle L is Opposite to Angle N
so Angle L + Angle N = 180°
Angle L is given as = 119°
119° + Angle N = 180°
Angle N = 180° - 119°
Angle N = 61°
Therefore, Angle M = 113° and Angle N = 61°
hey can someone help me!! in need of help!! ASAPPPP
Answer:
D
Step-by-step explanation:
To be a function each value of x must correspond to only one, unique value of y.
In the given ordered pairs
Each x- value corresponds to exactly one y- value
Which of the following describes the graph of 2x + 4y < 16? a:solid line, shaded below b:dashed line, shaded above c:dashed line, shaded below d:solid line, shaded above
Answer: C
Step-by-step explanation:
[tex]2x+4y<16\\=4y<-2x+16\\=y<-\frac{1}{2} x+4[/tex]
Since we are not dividing by a negative at any point during the simplification, the inequality sign won't change.
"<" means that the line will be dashed and shaded below.
Hope this helps!
The description of the inequality is (c) dashed line, shaded below
The inequality is given as:
2x + 4y < 16
The inequality is represented as less than (<)
When the less than sign is used in an inequality, the graph of the inequality would be a dashed line shaded below
Hence, the true statement is (c) dashed line, shaded below
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In the picture down below
Answer:
b
Step-by-step explanation:
trust me
Answer:
A
Step-by-step explanation:
Mrs.Joshi bought a saree for Rs 1,750.she sold it at a profit of 4%.what would be her profit or loss percent if she had bought it for Rs 2,000?
Answer:
9% loss
Step-by-step explanation:
We first can find the amount of money the saree was sold for by multiplying its buy cost, 1,750, by 1.04 (adding 4% to 1)
[tex]1750 \cdot 10.4 = 1820[/tex]
Now, 1820 is definitely less than 2000, so we need to find the percent difference between 2000 and 1820. We can use the formula:
[tex]\frac{higher-lower}{higher} \cdot 100[/tex]
So,
[tex]\frac{2000-1820}{2000} \cdot 100[/tex]
[tex]\frac{180}{2000} \cdot 100[/tex]
[tex]0.09 \cdot 100[/tex]
9
So, the loss percent of this dress is 9%.
Hope this helped!
What type of linear system is shown below?
A inconsistent
B. consistent and independent
C. consistent and dependent
D. inconsistent and dependent
Graph is attached , please help
Answer:
The linear system shown on the graph is consistent and independent
Step-by-step explanation:
The linear system shown on the graph is consistent because it has at least one solution which satisfy both linear graphs. The solution is at the point of interception of the two line graphs.
The linear system shown on the graph is independent because the two line graphs are distinct and not parallel or dependent on one another.
Therefore, The linear system shown on the graph is consistent and independent
2x^5-x^2+1=0
can you help me ?
slove it in details
thanks
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Hi my lil bunny!
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[tex]\boxed{x = 7}[/tex]
Move 1 to the left side of the equation by subtracting it from both sides.
[tex]\sqrt{2x -5 - 2 - 1 = 0 }[/tex]
Subtract 1 from -2.
[tex]\sqrt{2x -5 - 3 = 0 }[/tex]
Add 3 to both sides of the equation.
[tex]\sqrt{2x - 5 = 3}[/tex]
To remove the radical on the left side of the equation, square both sides of the equation.
[tex]\sqrt{2x - 5^3 = 3^2}[/tex]
Simplify each side of the equation.
Multiply the exponents in [tex](( 2x - 5) ^\frac{1}{2})^2[/tex] .
Apply the power rule and multiply exponents, [tex](a^m)^n = a^mn[/tex]
[tex](2x -5)^\frac{1}{2}.2 = 3^2[/tex]
Cancel the common factor of 2.
[tex](2x - 5)^1 = 3^2[/tex]
Simplify.
[tex]2x - 5 = 3^2[/tex]
Raise 3 to the power of 2.
[tex]2x - 5 = 9[/tex]
Solve for x
Move all terms not containing x to the right side of the equation.
Add 5 to both sides of the equation.
[tex]2x = 9 + 5[/tex]
Add 9 and 5.
[tex]2x = 14[/tex]
Divide each term by 2 and simplify.
Divide each term in 2x = 14 by 2.
[tex]\frac{2x}{2} = \frac{14}{2}[/tex]
Cancel the common factor of 2.
[tex]x = \frac{14}{2}[/tex]
Divide 14 by 2.
[tex]x = 7[/tex]
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Hope this helped you.
Could you maybe give brainliest..?
❀*May*❀
Answer:
root of f(x) = -0.7419124700395855 to about 16 figures
Step-by-step explanation:
given
f(x) = 2x^5-x^2+1 = 0
The polynomial is prime, so cannot solve by factoring.
Since it is a 5th degree polynomial, it has at least one real root.
Graphing helps locate where roots are, if more than one.
(refer to first graph)
So there is a real root between -1 and 0.
We will use numerical methods to find the root to a good degree of accuracy. The technique applies to any univariable function which is differentiable and continuous near the roots. This requirement is true for all polynomials.
However, we must know approximately where the root is, usually found by graphing.
The formula used is a recursive one, which gives a better approximation (x1) from the initial (x0) one , and can be repeated until the required accuracy is reached.
Here, we see that the slope of the function at the root is quite steep, so convergence will be rapid.
The formula is
x1 = x0 - f(x0) / f'(x0), where
x1 = new approximation
x0 = initial (or previous) approximation
f(x0) = value of function when x=x0
f'(x0) = value of derivative of function when x=x0
For the given function
f(x) = 2x^5-x^2+1 = 0
f'(x) = 10x^4-2x = 2x(5x^3-1)
From the graph of f(x), we can take an initial approximation as
x0 = -1
x1 = -1 - (-2)/12 = -5/6
Repeat using x0=-5/6
x1 = -5/6 - ( 2(-5/6)^5 - (-5/6)^2 + 1 ) / (2(-5/6(5(-5/6)^3-1))
= 0.7565596512088784
Repeat again, multiple times
x1 = -0.7423377914518363
x1 = -0.7419128371988212
x1 = -0.7419124700398593
x1 = -0.7419124700395855
x1 = -0.7419124700395855
So we see that the root of f(x) = x1 = -0.7419124700395855 to about 16 figures
Note that the accuracy of the iterations approximately doubles every time.
PLEASE HELP!! DUE SOON
Answer:
b=3a/8
a=8b/3
Step-by-step explanation:
b/a=k ( k is the constant proportional)
3/8=9/24=15/40
b/a=3/8
b=3a/8
a=8b/3
I hope this is right answer
Answer? Please make sure you answer it as a simplified fraction.
==================================================
Work Shown:
Let x = 0.363636...
The "36" pattern goes on forever as indicated by the three dots.
Multiply both sides by 100 to get 100x = 36.363636...
Effectively, multiplying by 100 moves the decimal point over 2 spots to the right. The "36" goes on forever here too. The key is to match up the infinite sequences of "36"s and cancel them out through subtraction
36.363636... - 0.363636... = 36
while
100x - x = 99x
So after subtracting the equations, we end up with 99x = 36
From here we solve for x by dividing both sides by 99 and reducing the fraction
99x = 36
x = 36/99
x = (9*4)/(9*11)
x = 4/11
As a check, use your calculator to find that
4/11 = 0.36363636...
so the answer is confirmed
Note: your calculator may display something like 0.3636363636364, that 4 should not be there. It's a result of rounding (due to the next digit being a 6). Keep in mind that rounding error is often a possibility when it comes to approximate calculations. The calculator only has so much memory and display space.
Help please! Thank you
help me please, explanation not necessary but would be appreciated
Answer:
55°
Step-by-step explanation:
The following data were obtained from the diagram given above:
Adjacent = 4
Hypothenus = 7
Angle A =?
The value of angle A can be obtained as follow:
Cos A = Adjacent / Hypothenus
Cos A = 4/7
Take the inverse of Cos.
A = Cos¯¹(4/7)
A = 55.1° ≈ 55°
Therefore, the value of angle A is approximately 55°.
What is the height of the prism if there is 30 square centimeters and the volume is 90 cubic centimeters
Answer:
the height of the prism =3cm
Step-by-step explanation:
From the question :there is 30 square centimeters, we can deduce this is the area due to the unit
the volume is 90 cubic centimeters
Volume of prism = Area of base × height
We are to determine the height
90cm³ = 30cm² × height
divide both sides by 30cm²
height = 90cm³/30cm²
height = 3cm
Therefore the height of the prism is 3centimeters
what does 30b/6b equal? (30b divided by 6b)
Answer:
5
Step-by-step explanation:
Given
[tex]\frac{30b}{6b}[/tex]
Cancel the b on the numerator/ denominator.
Also the 30 and 6 can both be cancelled by 6 , thus
[tex]\frac{30b}{6b}[/tex] = [tex]\frac{30}{6}[/tex] = 5
Answer:
[tex]\boxed{5}[/tex]
Step-by-step explanation:
[tex]\displaystyle \frac{30b}{6b}[/tex]
[tex]\sf Simplify[/tex]
[tex]\displaystyle \frac{30}{6} \times \frac{b}{b}[/tex]
[tex]5 \times 1[/tex]
[tex]=5[/tex]
I NEED HELP PLZ Event A and event B are independent events. Given that P(B)=13 and P(A∩B)=16, what is P(A)?
Answer:
19
Step-by-step explanation:
PLZ HELP (BRAINLIEST)
Answer:
C. y = 0.5x + 5
Hope that helps.
Can anyone help me with this please? And QUICK!
Answer:
30.6
Step-by-step explanation:
The following data were obtained from the question:
Angle θ = 23°
Opposite = 13
Adjacent = y
The value of y can be obtained by using the following trig ratio:
Tan θ = Opposite /Adjacent
Tan 23° = 13/y
Cross multiply
y × Tan 23° = 13
Divide both side by Tan 23°
y = 13/Tan 23°
y = 30.6
Therefore, the value of y in the diagram above is 30.6
In a certain group of students, the probability of a randomly-chosen student being male is 40%, the probability of the student studying Spanish is 18%, and the probability of the student being a male who studies Spanish is 5%. What’s the probability of the student being a male, if you know the student studies Spanish
Answer:
27.8%
Step-by-step explanation:
P(male | Spanish) = P(male and Spanish) / P(Spanish)
P(male | Spanish) = 0.05 / 0.18
P(male | Spanish) = 0.278
The probability of the student being a male is 27.8%
What is probability?Probability is defined as the ratio of the number of favorable outcomes to the total number of outcomes in other words the probability is the number that shows the happening of the event.
Probability = Number of favorable outcomes / Number of sample
Given that in a certain group of students, the probability of a randomly-chosen student being male is 40%, the probability of the student studying Spanish is 18%, and the probability of the student being a male who studies Spanish is 5%.
The probability of the student being a male will be calculated as below:-
P(male | Spanish) = P(male and Spanish) / P(Spanish)
P(male | Spanish) = 0.05 / 0.18
P(male | Spanish) = 0.278
Therefore, the probability of the student being a male is 27.8%
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ASAP!! Please help me. I will not accept nonsense answers, but will mark as BRAINLIEST if you answer is correctly with solutions.
Answer: B
Step-by-step explanation:
The domain of a function is every x-value, and the range is every y-value.
Hope it helps <3
Answer:
B
Domain: (-∞,∞)
Range: (-∞,5]
Step-by-step explanation:
The domain is (-∞,∞) because the graph as you can see, is continuously going outwards forever.
The range is (-∞,5] because the graph as you can see, is always going down forever and the top point is at 5. The 5 is in a bracket because it is a defined number while ∞ is undefined!
Hope this helped and good luck :)
The summer has ended and it’s time to drain the swimming pool. 20 minutes after pulling the plug, there is still 45 000L of water in the pool. The pool is empty after 70 minutes. Calculate the rate that the water is draining out of the pool. (Hint: remember this line is sloping down to the right) b) Calculate how much water was in the pool initially (at time 0). I think it was 80 000 c) Write an equation for this relationship. d) Use your equation to calculate how much water is in the pool at 62 minutes.
Step-by-step explanation:
At t = 20 min, V = 45,000 L.
At t = 70 min, V = 0 L.
a) The rate is the slope:
m = ΔV/Δt
m = (0 L − 45,000 L) / (70 min − 20 min)
m = -900 L/min
b) Using the slope to find V when t = 0 min:
m = ΔV/Δt
-900 L/min = (V − 0 L) / (0 min − 70 min)
V = 63,000 L
c) Use slope-intercept form to find the equation.
V = -900t + 63,000
d) At t = 62 min:
V = -900(62) + 63,000
V = 7200
Answer:
a. -900 L/min
b. Vo = 63,000 Liters
c. V ( t ) = 63,000 - 900*t
d. 7,200 Liters
Step-by-step explanation:
Solution:-
We have a swimming pool which is drained at a constant linear rate. Certain readings were taken for the volume of water remaining in the pool ( V ) at different instances time ( t ) as follows.
t = 20 mins , V = 45,000 Liters
t = 70 mins , V = 0 Liters
To determine the rate ( m ) at which water drains from the pool. We can use the linear rate formulation as follows:
[tex]m = \frac{V_2 - V_1}{t_2 - t_1} \\\\m = \frac{0 - 45000}{70 - 20} \\\\m = \frac{-45,000}{50} = - 900 \frac{L}{min}[/tex]
We can form a linear relationship between the volume ( V ) remaining in the swimming pool at time ( t ), using slope-intercept form of linear equation as follows:
[tex]V = m*t + V_o[/tex]
Where,
m: the rate at which water drains
Vo: the initial volume in the pool at time t = 0.
We can use either of the data point given to determine the initial amount of volume ( Vo ) in the pool.
[tex]0 = -900*( 70 ) + V_o\\\\V_o = 63,000 L[/tex]
We can now completely express the relationship between the amount of volume ( V ) remaining in the pool at time ( t ) as follows:
[tex]V ( t ) = 63,000 - 900*t[/tex]
We can use the above relation to determine the amount of volume left after t = 62 minutes as follows:
[tex]V ( 62 ) = 63,000 - 900*(62 )\\\\V ( 62 ) = 63,000 - 55,800\\\\V ( 62 ) = 7,200 L[/tex]
(25 points) The range of [tex]y=\frac{1}{x-10}[/tex] is All Real Numbers. TRUE or FALSE, and why?
Answer:
True
Step-by-step explanation:
Real Numbers are just numbers like:
1 12.38 −0.8625 34 π (pi) 198
In fact:
Nearly any number you can think of is a Real Number
Real Numbers include:
yes Whole Numbers (like 0, 1, 2, 3, 4, etc)
yes Rational Numbers (like 3/4, 0.125, 0.333..., 1.1, etc )
yes Irrational Numbers (like π, √2, etc )
Real Numbers can also be positive, negative or zero.
So ... what is NOT a Real Number?
not Imaginary Numbers like √−1 (the square root of minus 1)
are not Real Numbers
not Infinity is not a Real Number
Mathematicians also play with some special numbers that aren't Real Numbers.
Real numbers can be represented on a number line.
True or False: In a uniform probability distribution, any random variable is just as likely as any other random variable to occur, provided the random variables belong to the distribution.'
Answer:
True
Step-by-step explanation:
trust me, i remember this question
PLEASE HELP ASAP ON ALL THE PARTS!!! suppose there is a card game where you are dealt a hand of three cards. you have already learned that the total number of three card hands that can be dealt from a deck of 52 cards is:
Answer:
A. The total number of three-card hands (permutations) that can be made with two aces is 576
B. The actual number of two-ace hands (combinations) you can get from a deck of 52 cards is 288
C. The probability of drawing a three-card hand that includes two aces from a deck of 52 cards is 0.0130
Step-by-step explanation:
A. In order to calculate the total number of three-card hands (permutations) that can be made with two aces we would have to make the following calculation:
total number of three-card hands (permutations) that can be made with two aces=4*3*52
total number of three-card hands (permutations) that can be made with two aces=576.
B. In order to calculate the actual number of two-ace hands (combinations) you can get from a deck of 52 cards we would have to make the following calculation:
actual number of two-ace hands (combinations) you can get from a deck of 52 cards=4C2*48
4C2=4!/2!2!
C2=6
Therefore, actual number of two-ace hands (combinations) you can get from a deck of 52 cards=6*48=288
C. In order to calculate the probability of drawing a three-card hand that includes two aces from a deck of 52 cards we would have to make the following calculation:
probability of drawing a three-card hand that includes two aces from a deck of 52 cards=actual number of two-ace hands (combinations) you can get from a deck of 52 cards/52C3
probability of drawing a three-card hand that includes two aces from a deck of 52 cards=288/22,100
probability of drawing a three-card hand that includes two aces from a deck of 52 cards=0.0130
ACEG is a paralellogram. BKD, HJF and CKJG are straight lines. Find the values of x and y
Answer:
[tex]\boxed{\mathrm{x=53\° \: \: \: y=33\°}}[/tex]
Step-by-step explanation:
Apply these rules to solve:
• Angles on a straight line add up to 180 degrees.
• Angles in a triangle add up to 180 degrees.
• Opposite angles in a parallelogram are equal.
• Angles in a quadrilateral add up to 360 degrees.