Null hypothesis is stated as H0: Sunflower seeds planted in well-drained soil will grow faster than sunflower seeds planted in wet soil.
Null hypothesis is defined as the hypothesis that stated that there is no relationship between the two population parameters. It is denoted by H0
To form the null hypothesis we take it as
Null hypothesis : The sample data provides no evidence to support some claim being made by an individual.
Thus according to the question the null hypothesis can be stated as
Null hypothesis, h0 : Sunflower seeds planted in well-drained soil will grow faster than sunflower seeds planted in wet soil.
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Steve worked 7 hours Monday, 5 3⁄4 hours on Tuesday and 3.2 hours on Friday. If Steve earns $8.50 per hour, how much money did he earn for these three days?
Please, show your work !! I’ll give you brain if you do !!
Answer:
135.58 i'm pretty sure.
Step-by-step explanation:
First, I calculated the amount of money he got on Monday. I multiplied. 8.50 x 7 which equals 59.50. Then, I calculated the amount of money he got on Tuesday. I multiplied 8.50 (since that is the number of money he gets paid) to 3.2 (since that's the amount of hours he works). I got 27.200. Then lastly, I calculated the amount of money he got on Friday. So I first I changed 5 3/4 into a decimal. This is 5.75. After, I multiplied 8.50 x 5.75, And got 48.8750. Lastly, I added. I added and got 135.575. So if you round it, it will be 135.58.
30 POINTS! Need steps too !! Really small word problem
Step-by-step explanation:
—Math(zw)² – 2 (z/w)^(-1 )= z²w² – 2 w/z
w²z³ – 2w
= —————
z
w (z³w – 2)
= ——————
z
Follow my account^^
The graph of y = (x − 4)^2 − 49 has an x-intercept at (a, 0) where a > 0. What is a?
Based on the calculations using the given x-intercept of this graph, the value of a is equal to 11.
What is a linear function?A linear function can be defined as a type of function whose equation is graphically represented by a straight line on the cartesian coordinate.
In Mathematics, the y-intercept of any graph (parabola) occurs at the point where the value of "x" is equal to zero (0). Similarly, the x-intercept refers to the point at which the graph of a function crosses the x-axis and the value of "y" is equal to zero (0).
Given that the x-intercept is at (a, 0), we would simply substitute the given points as follows:
y = (x − 4)^2 − 49
0 = (a − 4)^2 − 49
(a − 4)^2 = 49
Taking the square of both sides, we have:
a - 4 = √49
a - 4 = 7
a = 7 + 4
a = 11.
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Consider the division expression 7 1/2 divided by 2. Select all multiplication equations that correspond to this division expression. 2 * ? = 7 1/2 7 1/2 * ? = 2 2 * 7 1/2 = ? ? * 7 1/2 = 2 ? * 2 = 7 1/2 I need help with this question!!! Which one is the answer!!!
Answer:
2 * ? = [tex]7\frac{1}{2}[/tex]
OR
? * 2 = [tex]7\frac{1}{2}[/tex]
Step-by-step explanation:
The given expression is:
[tex]7\frac{1}{2}[/tex] divided by 2.
The given expression a mixed fraction.
Let the result of the expression be equal to [tex]x[/tex].
Therefore, the expression can be written as:
[tex]7\frac{1}{2} \div 2 = x[/tex] ...... (1)
Multiplying equation (1) by 2:
[tex]7\frac{1}{2} = 2 \times x[/tex]
OR
[tex]7\frac{1}{2} = x \times 2[/tex]
Alternatively, this expression can be written as:
2 * ? = [tex]7\frac{1}{2}[/tex]
OR
? * 2 = [tex]7\frac{1}{2}[/tex]
Therefore, the following multiplication equations corresponding to equation (1) are:
2 * ? = [tex]7\frac{1}{2}[/tex]
OR
? * 2 = [tex]7\frac{1}{2}[/tex]
Draw a triangle with vertices (2,3), (3,5), and (5,3). Then translate 4 units left. Graph the translated figure and provide the translated coordinates.
Jake is making bracelets to give to his sisters. He uses 4 rainbow charms and 8 white star charms for his younger sister's bracelet. He makes his older sister's bracelet a little bigger, so he uses 5 rainbow charms and 10 white star charms. Does Jake use the same ratio of rainbow charms to white star charms in both bracelets?
Answer: Yes.
Step-by-step explanation: 4:8 simplifies to 1:2, since he used half as many rainbow charms as he did white stars. 5:10 also simplifies to 1:2. If they both have half as many rainbow charms as white, then both of his sister’s bracelets keep the same ratio.
Which is the length of the hypotenuse for a right triangle with leg a = 8 and leg b = 15 cm?
Answer:
[tex] \huge{ \boxed{ \tt{17 \: cm}}}[/tex]
Option D is the correct choice.
☪ First , Let's know about right triangle , legs and hypotenuse :
A right triangle is a triangle with an angle of 90°.The two sides that form the right angle are called legs.The opposite side of right angle is the hypotenuse.☥ Let's explore about The Pythagorean Theorem :
Pythagoras was one of the first mathematician to recognize the relationship between the sides of a right triangle. This special relationship forms ' The Pythagorean Theorem '.The Pythagorean theorem states that the sum of the squares of the legs of a right triangle equals the square of the length of a hypotenuse. In algebraic terms , The Pythagorean Theorem is stated as : [tex] \boxed{ \sf{ {a}^{2} + {b}^{2} = {c}^{2} }}[/tex]------------------------------------------------------------
☯ Now , let's start to solve :
✑ [tex] \underline{ \underline{ \text{Given}}} : [/tex]
a = 8 cm , b = 15 cm✑ [tex] \underline{ \underline{ \text{To\: Find}}} : [/tex]
Length of a hypotenuse ( c )✐ [tex] \underline{ \bold{ \underline{Using \: Pythagorean \: Theorem}}} \: : [/tex]
☞ [tex] \boxed{ \bold{ \sf{ {a}^{2} + {b}^{2} = {c}^{2} }}}[/tex]
Substitute the known values :
↦ [tex] \sf{ {8}^{2} + {15}^{2} = {c}^{2}}[/tex]
↦ [tex] \sf{64 + 225 = {c}^{2} }[/tex]
↦ [tex] \sf{289 = {c}^{2} }[/tex]
↦ [tex] \sf{ {c}^{2} = 289 }[/tex]
Take the square roots of both sides :
↦ [tex] \sf{ \sqrt{ {c}^{2} } = \sqrt{289}} [/tex]
↦ [tex] \boxed{ \sf{c = 17 \: cm}}[/tex]
The length of the hypotenuse is [tex] \boxed{ \bold{ \text{17 \: cm}}}[/tex].
And we're done!!
Hope I helped!
Have a wonderful day ! ツ
~TheAnimeGirl ♡
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The cost, Y (in dollars) to provide for guests at a dinner party is proportional to the number x of guests attending the party. It costs 30 dollars to provide food for 4 guests.
Maybe you missed to add the complete question. After a little research I was able to find the complete question which is as follows:
''The cost y(in dollars) to provide food for guests at a dinner party is proportional to the number x of guests attending the party. It costs $30 to provide food for 4 guests. a. Write an equation that represents the situation. b. Interpret the slope. c. How much does it cost to provide food for 10 guests?''
So, I am solving based on this complete question.
Answer:
Please check the explanation.
Step-by-step explanation:
a. Write an equation that represents the situation.
As the cost and the number of guests are proportional.
So the equation of the form
[tex]y = mx[/tex]
Plug in the values y = 30 and x = 4 to find m
[tex]y = mx[/tex]
30 = m (4)
m = 30/4
= 7.5
Now, substituting m = 7.5 in the equation y=mx
[tex]y = mx[/tex]
[tex]y = 7.5x[/tex]
b) Interpreting Slope
Given that the units for y are dollars, and the units for x are guests.
Thus, the slope 7.5 means it costs $7.5 per guest.
c) How much does it cost to provide food for 10 guests?''
We know the equation
[tex]y = 7.5x[/tex]
put x = 10
y = 7.5(10)
y = $75
Thus, it costs 75 dollars for 10 guests.
A paper airplane was thrown from the top of a tall building. The height of the paper airplane above the ground can be found using the function y = –3.5x + 42, where x is the time in seconds the airplane has been in the air.
How many seconds did it take the paper airplane to reach the ground?
Answer:
it took the airplane 12 seconds to reach the ground
Step-by-step explanation:
a weight is attached to the end of a spring. its height after ttt seconds is given by the equation \qquad h(t)
The weight, according to the supplied statement, reaches its greatest height at 4.25 seconds.
When is the maximum height?This time is determined by the projectile's starting velocity as well as the angle of projection. When the projectile reaches a vertical velocity equal zero magnitudes, it has reached its maximum height. Furthermore, gravity would take over and accelerate the thing downward.
According to the given data:Given that,
y = -2sin[tex](\frac{2\pi (t+1)}{7})[/tex] + 5
For maximum height,
sin(2π(t + 1))/7) = -1
(2π(t + 1))/7) = sin⁻¹ (- 1)
(2π(t + 1))/7) = sin⁻¹ (- 1)
(2π(t + 1))/7) = 3π/2
t + 1 = 21/4
t = 4.25 seconds
Hence,
we can conclude that at t = 4.25 seconds,
The weight, according to the supplied statement, reaches its greatest height at 4.25 seconds.
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I understand that the question you are looking for is:
A weight is attached to the end of a spring. Its height after t seconds is given by the equation. -2sin(2pi(t+1)/7)+5 When does the weight first reach its maximum height? Answer in t seconds.
Find the final sale price after these two discounts: Original price $65.00. Take 20% off, and then take $5 off that amount.
Answer:
20% 0f $65.00 is $13
$13 - $5= $8
Step-by-step explanation:
Percentage solution with steps:
Step 1: Our output value is 65.00.
Step 2: We represent the unknown value with $x$.
Step 3: From step 1 above,$65.00=100\%$.
Step 4: Similarly, $x=20\%$.
Step 5: This results in a pair of simple equations:
$65.00=100\%(1)$.
$x=20\%(2)$.
Step 6: By dividing equation 1 by equation 2 and noting that both the RHS (right hand side) of both
equations have the same unit (%); we have
$\frac{65.00}{x}=\frac{100\%}{20\%}$
Step 7: Again, the reciprocal of both sides gives
$\frac{x}{65.00}=\frac{20}{100}$
$\Rightarrow x=13$
Therefore, $20\%$ of $65.00$ is $13$
what is this pls help me ____?_____- $1,489= $5,237.
Answer:
6,726
Step-by-step explanation:
Go backwards.
5,237 + 1,489 = 6,726
Just add and you'll get the answer. Brainliest Please!!
- Hermionia
write an equation of the line that passes through each pair of points (0,7) and (0,-8)
Explanation:
Both points have the same x coordinate x = 0, so this is the equation of the vertical line. It cannot be written in y = mx+b form because the slope m is undefined.
Here is an isosceles triangle.
Choose the true statements.
A. The triangle has two equal angles.
B. The triangle has an obtuse angle.
C. Two of the sides are the same length.
In a basketball tournament, team A scored 6 more points than 3 times as many points as team B scored. Team C scored 45 more points than team B scored. The combined scores for all three teams was 476 points. Which statement about the number of points is true? Team A scored 85 points. Team A scored 255 points. Team C scored 261 points. Team C scored 130 points.
Answer:
"Team C scored 130 points."
Step-by-step explanation:
Let x represent how many points team B scored.
Team A: 3x + 6
Team B: x
Team C: x + 45
Total: 476 points
476 = (x) + (3x + 6) + (x + 45)
476 = x + 3x + 6 + x + 45
476 = 5x + 51
425 = 5x
x = 85
Team A:
3(85) + 6
= 261 pts
Team B:
= 85 pts
Team C:
(85) + 45
= 130 points
Answer:
Team c 130
Step-by-step explanation:
Please help how to do this problem ❤️ gets 50 points
Answer:
Step-by-step explanation:
-0.166666666666666667
If x = 9 and y = –1, evaluate the following
expression:
5/X – Y
Give your answer as a fraction in its simplest form.
find the quotient. Problem is below
Answer:
26/9
Step-by-step explanation:
whenever you divide fractions, they turn into a multiplication problem and use the second fraction's reciprocal. so it would look something like this:
13/2 * 4/9
just do straight multiplication
numerators: 13*4 = 52
denominators: 2*9 = 18
52/18 = 26/9
What is -6x-4+(2x+-8
Answer:
-4x+4
Step-by-step explanation:
Please helppppp. Thank you
Answer:
[tex]x \geq -42[/tex]
Step-by-step explanation:
[tex]3 - \frac{x}{2} \leq 18[/tex]
subtract 3
[tex]- \frac{x}{2} \leq 15[/tex]
multiply by two
[tex]-x \leq 30[/tex]
devide by -1 and flip the sign
[tex]x \geq -30[/tex]
The graphs of y= ‐4x and y= ‐4x+2 are shown. Use the drop-down menus to complete the statements.
Answer:
Step-by-step explanation:
Answer:
Step-by-step explanation:
simply 4x²y(x³y⁶-7x⁵)
Answer:
Step-by-step explanation:
Answer:
4x^5y^7 − 28x^7y
Step-by-step explanation:
yes
pls help fast
simply the complex fraction
Answer:
10/11
Step-by-step explanation:
(8/11)/(4/5)
= (8/11) x (5/4)
= 40/44
= 10/11
Answer: 10/11
Step-by-step explanation: multiply by the reciprocal of the divisor (8/11*5/4). you can reduce the fraction, so we can make it 2/11*5/1. just multiply, and you have your answer.
How many pounds are in 3000 ounces?
Answer:
187.5 pounds are in 3000 ounces
Step-by-step explanation:
The answer will be 187.5 pounds
The table below shows the amounts of lemon juice and sugar used in each container of lemonade. The ratio of lemon juice to sugar is 1:r, where r is the unit rate. Use the table to determine r.
Lemon Juice (cup) Sugar (cup)
1/2 1
2 4
3 6
A. 2
B. 1/2
C.1
D. 2/3
Answer:
i believe the answer would be C! sorry if im wrong! ;-; <333
Science question help
Answer: the first one.
Step-by-step explanation:
Solve Each Equation PLS SHOW WORK
|8m + 7| - 5 = 60
Answer:
m = 7.25
Step-by-step explanation:
8m + 7 - 5 = 60
Evaluate like terms.
8m + 2 = 60
Isolate 8m.
8m = 60 - 2
Evaluate.
8m = 58
Find m.
m = 58 ÷ 8
m = 7.25
Answer:
Step-by-step explanation:
l8m+7l = 65
(8m+7) = 65 or -(8m+7) = 65
8m = 65-7 or -8m = 65 + 7
m= 58/8 or m = 72/(-8)
m= 7. 25 or m = -9
Simplify 12+(-8)+(-5)
Answer: -1
Step-by-step explanation:
12+(-8)+(-5)
4+(-5)
= -1
Find the next 3 terms in the arithmetic sequence: -10, -14, -18, -22....
is the height of 6 and the volume of 96 proportional to the height of 4 and the volume of 64
Answer:
yes it is and there has to be 20 characters so gonna type random stuff after
Answer:
16
Step-by-step explanation:
64 divided by 4 = 16 and 96 divided 6 = 16