Using the t-distribution, it is found that the desired measures are given as follows:
The test statistic is t = 4.17.The p-value is of 0.0004.What are the hypotheses tested?At the null hypotheses, it is tested if the mean is of 57.7, that is:
[tex]H_0: \mu = 57.7[/tex]
At the alternative hypotheses, it is tested if the mean is different of 57.7, that is:
[tex]H_a: \mu \neq 57.7[/tex]
What is the test statistic?The test statistic is given by:
[tex]t = \frac{\overline{x} - \mu}{\frac{s}{\sqrt{n}}}[/tex]
The parameters are:
[tex]\overline{x}[/tex] is the sample mean.[tex]\mu[/tex] is the value tested at the null hypothesis.s is the standard deviation of the sample.n is the sample size.The values of the parameters are given as follows:
[tex]\overline{x} = 59.6, \mu = 57.7, s = 7.7, n = 286[/tex]
Hence, the test statistic is:
[tex]t = \frac{\overline{x} - \mu}{\frac{s}{\sqrt{n}}}[/tex]
[tex]t = \frac{59.6 - 57.7}{\frac{7.7}{\sqrt{286}}}[/tex]
t = 4.17.
What is the p-value?We have a two-tailed test, as we are testing if the mean is different of a value, with 286 - 1 = 285 df and t = 4.17. Hence, using a t-distribution calculator, the p-value is of 0.0004.
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Joe has 5/6 cup of paint in a container. He uses 2/5 cup on a project then adds another 1/3 cup. How much paint does he have now?
Answer:
=23/30
Step-by-step explanation:
5/6-2/5
Multiply 5/6 by 5 and -2/5 by 6
25/30-12/30
25-12/30
=13/30
Then he adds another 1/3
=13/30+1/3
multiply 1/3 by ten
=13/10 + 10/30
=13+10/30
=23/30
5/6-2/5-1/3=23/30
The zigzag crystal vase has height 20 centimeters. The cross sections parallel to the base are always rectangles that are 12 centimeters wide by 6 centimeters long.
Answer:
14440cm3
Step-by-step explanation:
Clare ran 8/5 as far as jada, Tyler ran 4/3 as far as jada, and Kim ran 1/2 as far as jada. Order the students from least to greatest by order of the distance they ran
1/2,4/3,8/5
Step-by-step explanation:
when u find the lowest you will see that 8/5 and 4/3 have a higher numerator and when you simplify that u will get to 8/5=1 18/30and 1/2=1 and 1/3bwhuch gets you to the lowest
Kasha has a spinner divided into 8 equal sections that are labeled 1 though 8. She wants to compare the theoretical probability and
the experimental probability of spinning an odd number. She spins the spinner 10 times and records the results in this list.
{2, 4, 1, 8, 7,5, 3, 4, 1,5}
Drag and drop the answers into the boxes to correctly complete the sentences
The theoretical probability of spinning an odd number is equal to
The experimental probability of spinning an odd
number is equal to
Therefore, the theoretical probability of spinning an odd number is
the
experimental probability of spinning an odd number
3
5
greater than
less than
The theoretical probability = [tex]\frac{1}{2}[/tex], The experimental probability = [tex]\frac{3}{5}[/tex]
Less than
What is experimental probability?The experimental probability of an event occurring is the number of times that it occurred when the experiment was conducted as a fraction of the total number of times the experiment was conducted.
The theoretical probability of spinning and odd number = [tex]\frac{4}{8}[/tex] = [tex]\frac{1}{2}[/tex]
The experimental probability =[tex]\frac{6}{10}[/tex] = [tex]\frac{3}{5}[/tex]
Since [tex]\frac{1}{2}[/tex]< [tex]\frac{3}{5}[/tex]
So, the theoretical probability less than the experimental probability.
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Find the value of D of a square and the sides are 4 n 4 n 4 n 4 and D is diagonal
Answer:
D = 4√2Step-by-step explanation:
Formula:
In a square with sides each of length ‘a’ :
The diagonal D of the square = a√2
…………………………………………………………
The square ,in our example has 4 sides all of Length 4 ,then
D = 4√2
Multiply 3hrs 40mins by 7
Answer:
25 hour 40 minutes
Step-by-step explanation:
3 hrs X 7 is = 21 hours
then you mutliply 40 mins times 7 which is equal to 280mins
the you divide 280mins by 60 mins because 60 minutes is equal to an hour and you come out with 4 hours and 40 minutes which you add to 21 which is equal to 25 hours!
Hope This Helps!
capital gross is calculated by doing...
A)selling price-purchase price
B)purchase price-selling price
The capital gross is calculated by doing subtracting purchase price from selling price option first “selling price-purchase price” is correct.
What is capital gross?The entire value of gross fixed capital formation, changes in inventories, and acquisitions less disposals of assets for a unit or sector is used to calculate gross capital formation.
As we know, deducting the asset's or portfolio's acquisition price from the selling price yields the capital gain formula.
Thus, the capital gross is calculated by doing subtracting purchase price from selling price option first “selling price-purchase price” is correct.
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x-3<9 this is a inequalite question
- - - - - - - - - - - - - - - - - - - - - - - - - - - -
[tex]\diamond\large\blue\textsf{\textbf{\underline{\underline{Question:-}}}}\diamond[/tex]
x-3<9
[tex]\diamond\large\blue\textsf{\textbf{\underline{\underline{Answer and How to solve:-}}}}\diamond[/tex]
✩ First, add 3 on both sides:-
[tex]\it{x < 9+3}[/tex]
Which results in
[tex]\it{x < 12}[/tex]
So the values of x less than 12 will make this inequality true.
Good luck.- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
Use rules of transformations to answer each of the items below. Be sure to answer in complete sentences, and when necessary, include your calculations. Create your own set of coordinates for △ B L U and graph it on a coordinate plane. Label each of the triangle's vertices. Write a scenario involving the dilation of △ B L U onto its image. In the scenario, include the scale factor between the similar triangles and the coordinates for the image. Graph the image on the same coordinate plane as its pre-image. Use the distance formula or Pythagorean Theorem to prove mathematically that △ B L U is similar to its image. Include all necessary calculations.
Answer:
We choose the coordinates (4,4), (4,10), and (8,4) as the vertices of right-angle triangle ABCWe want to dilate triangle ABC by scale factor of 2
Step-by-step explanation:
21 slices from 3 cakes = 84 slices from cakes equivalent rates
Answer:
12 cakes.
Step-by-step explanation:
There are 21/3 = 7 slices from each cake.
84 / 7 = 12.
5y3 – 4y – 1
Leading term:
Leading coefficient:
Constant term:
Answer:
Leading term:
5y^3
Leading coefficient:
5
Constant term:
-1
Step-by-step explanation:
5y^3 -4y -1
The leading term is the term with the highest power of the variable
5y^3 is the leading term
the leading coefficient is the number in front of the highest power of the variable
5 is the leading coefficient
The constant term is the number alone
-1 is the constant term
A gym has an enrollment fee of $80. There is also a $25 fee per month of membership.
This is like a linear equation, (y = mx + b) where the cost per month is 25, and our b is the 80 to join in the first place:
y = 20x + 80
You did not share how much was paid for the membership, but if you put the total cost into y, then you can solve for x. Or you can find the total cost by entering in the number of months for x.
Answer:
Equation given
80+25(y)=x
y= Per month(So the amount of months that passed)
x=Total amount
Which graph represents a circle whose equation is (x+3)² + (y-1)² = 4?
Answer:
A
Step-by-step explanation:
Equation describing a circle: (x - x0)^2 + (y - y0)^2 = r^2
(x0, y0) is the centrer is short for radiusThe given equation is: (x + 3)^2 + (y - 1)^2 = 4
=> (x - (-3))^2 + (y - 1)^2 = 2^2
Coordinates of the centre: (-3, 1)Radius: 2Therefore, the answer is A.
Can someone help me with this please?
f hi I chhiring Tamang I read in hdidieje
Brainliest for the right answer, anyone? :p
Find the midpoint M of the line segment joining the points P = (-2, -4) and Q = (-6, -8).
Answer:
(-4,-6)
Step-by-step explanation:
For x, the middle point between -2 and -6 is -4
for y the middle point between -4 and -8 is -6
Find the perimeter of the figure to the nearest hundredth. perimeter: about cm
The perimeter of the figure to the nearest hundredth is 50.26 cm.
Perimeter of a figure.The perimeter of a figure is the sum of the whole sides of the figure.
The perimeter of the figure can be found as follows:
perimeter of the figure = 12 + 5 + 5 + circumference of the semi circle
circumference of the semi circle = πr
where
r = radiusperimeter of the figure = 22 + πr
perimeter of the figure = 22 + 3.14(9)
perimeter of the figure = 22 + 28.26
perimeter of the figure = 50.26 cm
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i need help with 7th grade math please need help ASAP + brainleist
Step-by-step explanation:
the area of garden is 970.08
Answer:
970. 08 [tex]ft^2[/tex]
Step-by-step explanation:
The rose garden is made up of 2 shapes: rectangle and a half-circle.
1. We start by finding the area of the rectangle...
[tex]31*24[/tex]We get 744 [tex]ft^2[/tex]2. Then find the area of the half-circle
The area of a circle is [tex]\pi r^2[/tex]We need to divide it by half since we only have half the area [tex]\frac{\pi r^2}{2}[/tex]The question only gives us the diameter (24), to find the radius we divide by 2 to get 12Now plug 12 for r [tex]\frac{\pi(12^2)}{2}[/tex]Plug 3.14 for [tex]\pi[/tex], [tex]\frac{3.14(12^2)}{2}[/tex]Compute: 226.08 [tex]ft^2[/tex]3. Add the areas together
[tex]744 + 266.08[/tex]Finally, we have 970.08 [tex]ft^2[/tex]1/5 is 60% of what number
1/5 = 60/100 * x
1/5 * 100/60 = x
100/300 = x
1/3 = x
Answer:
[tex] \frac{1}{3} [/tex]
Step-by-step explanation:
According to what we know, one-fifth is 60% of a number. Let us call that unknown number x. Since
[tex] \frac{1}{5} = 60\% \: \\ then \\ x = 100\%[/tex]
60% as a fraction is 6/10 or 3/5, in that case 100% as a fraction would be 5/5.
Recall: 60% = 3/5 and 100% = 5/5
therefore:
1/5 = 3/5
x = 5/5
note in order to find the value of x we cross multiply*
[tex] \frac{1}{5} ( \frac{5}{5}) = \frac{3}{5} x[/tex]
[tex] \frac{1}{5} = \frac{3}{5} x \\ \\ \frac{ \frac{1}{5} }{ \frac{3}{5} } = \frac{ \frac{3}{5} }{ \frac{3}{5} } x \\ \\ \frac{1}{5} \times \frac{5}{3} = x[/tex]
[tex] \frac{1}{3} = x[/tex]
After rolling a fair 20-sided die 200 times The observed or experimental probability of rolling a 20 was 25% what will happen to the probability of rolling a 20 if the dye is ruled 10,000 more times
Answer:
Step-by-step explanation:
The theoretical probability of getting a 20 in 1 throw is 1/20 = 5%.
The more times you roll the dye the closer the experimental probability moves to the theoretical.
So the probability will get less than 25% and get closer to the theoretical 5%.
If the die is rolled 10,000 more times, we can expect the experimental probability of rolling a 20 to be close to 500/10,000, which simplifies to 0.05 or 5%.
We have,
The probability of rolling a 20 on a fair 20-sided die is 1/20 or 0.05.
If the die is rolled 200 times and the observed probability of rolling a 20 is 25%,
We can calculate the number of times a 20 was actually rolled as follows:
Number of times a 20 was rolled
= Observed probability × Number of rolls
= 0.25 × 200
= 50
So, out of 200 rolls, 20 were rolled 50 times.
Now, if the die is rolled 10,000 more times, we can use the law of large numbers to expect the experimental probability of rolling a 20 to approach the true probability of 0.05.
The expected number of times a 20 will be rolled in 10,000 rolls is:
The expected number of times a 20 will be rolled
= Probability of rolling a 20 × Number of rolls
= 0.05 × 10,000
= 500
Therefore,
If the die is rolled 10,000 more times, we can expect the experimental probability of rolling a 20 to be close to 500/10,000, which simplifies to 0.05 or 5%.
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Element X decays radioactively with a half life of 14 minutes. If there are 310 grams
of Element X, how long, to the nearest tenth of a minute, would it take the element to
decay to 5 grams?
y = a(.5) /
Answer:
83.4
Step-by-step explanation:
How can these models be used to find the sum 1.8 + 1.56?
Enter your answers in the boxes.
The models show a total of 2 wholes,
tenths, and
hundredths. After regrouping 10 tenths into 1 whole, there are
wholes,
tenths, and
hundredths. Therefore, the sum of the numbers is
.
First row. One large square divided into a 10 by 10 grid of 100 small squares. Eight columns, each divided into 10 small squares. Second row. One large square divided into a 10 by 10 grid of 100 small squares. Five columns, each divided into 10 small squares. Six small squares.
Answer:
The sum of 1.8 and 1.56 is 3.36 according to the model
Sum of decimals
Given the expression 1.8 + 1.56
Using the partial sum method
1.8 + 1.56 = (1.0 + 0.8) + (1.0+0.56)
Regroup as whole and decimal number
1.8 + 1.56 = (1.0 + 1.0) + (0.8 +0.56)
1.8 + 1.56 = 2.0 + 1.36
1.8 + 1.56 = 3.36
Hence the sum of 1.8 and 1.56 is 3.36 according to the model
Given ΔABC. Choose which of the following sides create a right triangle:
21
I. a=1.2,b=3.5,c=3.6
II. a=6,b=9.1,c=10.9
III. a=6,b=8,c=9
Answer:
II. a = 6 , b = 9.1 , c = 10.9
Step-by-step explanation:
I. a = 1.2 , b = 3.5 , c= 3.6
c² = a² + b²
3.6² = 1.2² + 3.5²
12.96 = 1.44 + 12.25
12.96 ≠ 13.69
These sides cannot create a right triangle.
II. a = 6 , b = 9.1 ,c = 10.9
c² = a² + b²
10.9² = 6² + 9.1²
118.81 = 36 + 82.81
118.81 = 118.81
Therefore, these sides can create a right triangle.
III. a = 6 , b = 8 , c = 9
c² = a² + b²
9² = 6² + 8²
81 = 36 + 72
81 ≠ 108
These sides cannot create a right triangle.
Simplify: [tex]\sqrt{\frac{144}{25} }[/tex].
Answer:
[tex]\frac{12}{5}[/tex]
Step-by-step explanation:
[tex]\sqrt{\frac{144}{25}}=\frac{\sqrt{144}}{\sqrt{25}}=\frac{12}{5}[/tex]
Given term:
[tex]\sqrt{\dfrac{144}{25} }[/tex]
This term can also be written as;
[tex]\implies \sqrt{\huge\text{(}\dfrac{144}{25} \huge\text{)}}[/tex]
Clearly, we can see that 144 and 25 are perfect squares. Then,
[tex]\implies\sqrt{\huge\text{(}\dfrac{12^{2} }{5^{2} } \huge\text{)}}[/tex]
According to an exponent property, (a²/b²) = (a/b)². Then,
[tex]\implies\sqrt{\huge\text{(}\dfrac{12}{5} \huge\text{)}^{2} }[/tex]
Since 12/5 is being squared inside the root, we can remove the squared symbol and take out 12/5 from the root. Then we get;
[tex]\implies\sqrt{\huge\text{(}\dfrac{12}{5} \huge\text{)}^{2} } \ = \ \dfrac{12}{5} \ = \ \boxed{2.4}[/tex]
Therefore, the simplified term is 2.4.
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What is the area of the triangle Base is 6 ft height is 5 ft.
Answer:
Area of a triangle = 0.5 * base * height = 0.5 * 6 * 5 = 15 sq. ft
Answer:
Area = 0.5 * base * height
0.5 * 6 * 5 = 15
Area = 15 sq ft
Find the Mean Absolute Deviation (MAD) of the following test scores.
Remember, the Mean is just the first step.
Scores:
{ 48, 61, 73, 76, 76, 74 }
Based on the calculation below, the Mean Absolute Deviation (MAD) of the test scores is 0.
How to calculate Mean Absolute Deviation (MAD)The mean of the 6 test scores is first calculated as follows:
Mean = Sum of the test scores / Number of test scores = (48 + 61 + 73 + 76 + 76 + 74) / 6 = 68
We can now calculate the MAD of the test scores as follows:
MAD = Sum of deviations of all the test scores from the Mean / Number of test scores = ((48 - 68) + (61 – 68) + (73 – 68) + (76 – 68) + (76 – 68) + (74 – 68)) / 6 = 0 / 6 = 0
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Steven is puiting a design that contains two repeating patterns that start in the same place. One pattern repeats every 12 inches and the other repeats every 18 inches. How many inches will it take for the patterns to begin together again?
Answer:
36
Step-by-step explanation:
So, taking 12 inches and 18 inches, we can figure out where they both meet. To do this, you want to change these number into a fraction (12/18). Simplifying this gives you 2/3. So if you flip this fraction (3/2) and then use these number and multiply them with the first numbers (so we do 3*12 and 2*18, they both equal 36, so they would both meet at 36, our final answer. they would also meet at 72, 108, 144, etc. if you were to keep going.
All computers are on sale for 10% off the original price.
If x is the original price of the computer, then the function that represents the price after only a 10% discount is:
P(x) = x - 0.1x
P(x) = 0.9x
The function that gives the price, C, if only a $150 coupon is used is:
C(x) = x - 150
Choose the composition function that gives the final sale price after a 10% discount is followed by a $150 coupon.
C(P(x)) = 0.9x – 150
P(C(x)) = 0.9x – 150
C(P(x)) = 1.9x – 150
P(C(x)) = 1.9x – 150
Captain Ashley has a ship, the H.M.S Crimson
Lynx. The ship is two furlongs from the dread
pirate Umaima and her merciless band of
thieves.
If her ship hasn't already been hit, Captain
1
Ashley has probability of hitting the pirate
2
ship. If her ship has been hit, Captain Ashley will
always miss.
If her ship hasn't already been hit, dread pirate
1
Umaima has probability of hitting the
3
Captain's ship. If her ship has been hit, dread
pirate Umaima will always miss.
If the Captain and the pirate each shoot once,
and the pirate shoots first, what is the probability
that both the pirate and the Captain hit each
other's ships?
Acidity is measured on the pH scale. The acidity of a substance is given by pH=−logH, where H is the concentration of Hydrogen ions. If a substance has a pH of 7, what is its H value?
Answer:
1 x 10^-7
Step-by-step explanation:
[H+] = 10^-pH
[H+] = 10^-7
Solve the following porportion.
x/25 = 2/5 x=
=========================================
Work Shown:
x/25 = 2/5
5x = 25*2
5x = 50
x = 50/5
x = 10
------------
Another approach:
x/25 = 2/5
x/25 = (2*5)/(5*5)
x/25 = 10/25
x = 10
------------
Yet another method:
x/25 = 2/5
x/25 = 0.4
x = 25*0.4
x = 10