Answer:
We want a confidence of 99% so then the significance level would be 1%
The degrees of freedom are given by:
\( df = n-1= 25-1=24\)
And the critical value using the significance level \(\alpha=0.01\) and \(\alpha/2 =0.005\) and the critical value would be:
\( t_{\alpha/2}= \pm 2.797\)
Step-by-step explanation:
We know the following info :
\( s= 0.05\) represent the standard deviation from the sample
\( n = 25\) represent the sample size selected
We want a confidence of 99% so then the significance level would be 1%
The degrees of freedom are given by:
\( df = n-1= 25-1=24\)
And the critical value using the significance level \(\alpha=0.01\) and \(\alpha/2 =0.005\) and the critical value would be:
\( t_{\alpha/2}= \pm 2.797\)
Greta sets her watch 8 seconds behind, and it falls behind another 1 second every day. How many days has it been since Greta last set her watch if the watch is 49 seconds behind?
Answer:
41 days
Step-by-step explanation:
In order to solve this you can count or you can create an equation based on the formula y = mx + b.
By doing this you will be able to save yourself time
y - total number of seconds
x - total number of days
m - how much is increased per day
b - initial value
Based on this information you can create the equation below & solve
49 = x + 8
41 = x
Therefore the answer is 41 days
solve for x in the equation x2+6x-6=10
Answer:
Step-by-step explanation:
\(x^{2} + 6x-6= 10\\x^{2} +6x-16=0\\x^{2} -2x+8x-16=0\\x(x-2)+8(x-2)=0\\(x-2)(x+8)=0\\x = 2\\or\\x = -8\)
Answer:
X = 2 and X = -8
Step-by-step explanation:
X2 + 6X - 6-10 = 0 ....... when +10 pass the equality sign it will become -10
X2 + 6X -16 =0
here we need to find if there are two numbers there sum is +6 and there product is -16.
here we need to find if there are two numbers there sum is +6 and there product is -16.The two numbers are -2 and +8
-2+8= +6
-2*8= -16
( X - 2 ) * ( X + 8 ) =0
X - 2 = 0 ...... when -2 pass equality sign it will become+2
X = 2
X + 8 =0 ..... when +8 pass equality sign it will become -8
X = -8
Solve the system by elimination
{2x-3y=-1
{3x+4y=8
Complete the following food-cost problems:
FC ÷ FC % = SP 2.75 ÷ 25% =
FC ÷ SP = FC % 3.80 ÷ $15.00 =
SP x FC % = FC 24.00 x 21% =
The following food-cost problems:
FC ÷ FC % = SP: 2.75 ÷ 25% = 11.
FC ÷ SP = FC %: 3.80 ÷ $15.00 = 25.33%.
SP x FC % = FC: 24.00 x 21% = 5.04.
To complete the food-cost problems, we will apply the given formulas and solve for the missing values.
FC ÷ FC % = SP
Given: FC = 2.75, FC % = 25%
Substituting the values into the formula, we have:
2.75 ÷ 25% = SP
To divide by a percentage, we convert the percentage to a decimal by dividing it by 100:
2.75 ÷ 0.25 = SP
Simplifying the division, we get:
11 = SP
Therefore, the selling price (SP) is 11.
FC ÷ SP = FC %.
Given: FC = 3.80, SP = $15.00
Substituting the values into the formula, we have:
3.80 ÷ $15.00 = FC %
To divide by a dollar amount, we can simply perform the division:
0.2533... = FC %
Therefore, the food cost percentage (FC %) is approximately 25.33%.
SP x FC % = FC
Given: SP = 24.00, FC % = 21%
Substituting the values into the formula, we have:
24.00 x 21% = FC
To multiply by a percentage, we convert the percentage to a decimal by dividing it by 100:
24.00 x 0.21 = FC
Simplifying the multiplication, we get:
5.04 = FC
Therefore, the food cost (FC) is 5.04.
In summary:
2.75 ÷ 25% = 11
3.80 ÷ $15.00 = 25.33%
24.00 x 21% = 5.04
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Consider functions f and g
f(x)=(1=2)^×+1 g(x)= log(x - 1) +1 Using three iterations of successive approximation, what is the approximate solution where f(x) g(x)? Use the graph as a starting point.
Answer:
x=39/16
Step-by-step explanation:
I looked it up. Here's the source's explanation;
\(f(x)=(1/2)^x+1\)
\(g(x)=log(x-1)+1\)
\(f(x)=g(x)\)
\((1/2)^x +1=log(x-1)+1\)
\((1/2)^x=log(x-1)\)
2^(-x)=log (x-1)
x=2.5018
x=39/16
Answer:
41/16
Step-by-step explanation:
took the text and got 100, good luck besties
Michaela plans on installing heated tile in her kitchen. A diagram of the kitchen floor plan is shown below.
Calculate the area of the floor, to the nearest 10th, to determine how many square metres of tile Michaela will need to buy.
*Hint: Divide the shape into 2! You will need to use trig!
Check the picture below.
so hmm we have a 6x6 square atop and a triangle with base of 6 and a height of "h", let's get "h".
\(\sin( 42^o )=\cfrac{\stackrel{opposite}{h}}{\underset{hypotenuse}{2}} \implies 2\sin(42^o)=h \implies 1.34\approx h \\\\[-0.35em] ~\dotfill\\\\ \stackrel{ \textit{\LARGE Areas} }{\stackrel{triangle}{\cfrac{1}{2}(\underset{b}{6})(\underset{h}{1.34})}~~ + ~~\stackrel{ square }{(6)(6)}} ~~ \approx ~~ 4.02+36~~ \approx ~~ \text{\LARGE 40.0}\)
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Given the function: f(x)= 3x+6. What is the inverse function of f(x)?
The picture above provides the answer choices and the function given.
Answer:
Concept: Inverse Functions
We want the inverse of a root function which is x^1/2 Now we combine that result to get \( {f}^{ - 1} (x) = \frac{ { x }^{2} }{3} - 2\)Rate brainlisthelp me on my 7th grade math homework
Answer:
Step-by-step explanation:
divide the money or degrees by the hours or form of time they give. for the first one you divide 585/52 to get $11.25 an hour.
Use the equation below to find y, if m=3 and x=5.
y=mx
y = __
Hey there!
y = mx
mx = y
3(5) = y
3 + 3 + 3 + 3 + 3 = y
6 + 6 + 3 = y
12 + 3 = y
15 = y
Thus, your answer is: y = 15
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
write the equation of a quadratic function in Vertex Form, that has its vertex at (-2,1) and is upside down, but has no stretch
As the the vertex is in (-2,1) we get that the equation is
\(y-1=4p(x+2)^2\)as it is upside down and has no stretch the complete equation is
\(y-1=-(x+2)^2\)Is 27, 333 divisible by 3? Write the number 27,333 as the product of 3 and another factor.
Yes, 3 divides 27,333. We have
27,333 = 27,000 + 333
… = 27•1,000 + 333
… = 3•9•1,000 + 3•111
… = 3•(9•1,000 + 111)
… = 3•(9,000 + 111)
… = 3•9,111
hay again friendssssssssssssssssssssssssssssssssssssssssssssssssssssss
Find the equation of a line parallel to y=x−1 that contains the point (−3,−2). Write the equation in slope-intercept form.
Answer:
y = x + 1
Step-by-step explanation:
Parallel lines have same slope.
y = x - 1
Compare with the equation of line in slope y-intercept form: y = mx +b
Here, m is the slope and b is the y-intercept.
m =1
Now, the equation is,
y = x + b
The required line passes through (-3 ,-2). Substitute in the above equation and find y-intercept,
-2 = -3 + b
-2 + 3 = b
\(\boxed{b= 1}\)
Equation of line in slope-intercept form:
\(\boxed{\bf y = x + 1}\)
The equation is :
↬ y = x + 1Solution:
We KnowIf two lines are parallel to each other, then their slopes are equal. The slope of y = x - 1 is 1. Hence, the slope of the line that is parallel to that line is 1.
We shouldn't forget about a point on the line : (-3, -2).
I plug that into a point-slope which is :
\(\sf{y-y_1=m(x-x_1)}\)
Slope is 1 so
\(\sf{y-y_1=1(x-x_1)}\)
Simplify
\(\sf{y-y_1=x-x_1}\)
Now I plug in the other numbers.
-3 and -2 are x and y, respectively.
\(\sf{y-(-2)=x-(-3)}\)
Simplify
\(\sf{y+2=x+3}\)
We're almost there, the objective is to have an equation in y = mx + b form.
So now I subtract 2 from each side
\(\sf{y=x+1}\)
Hence, the equation is y = x + 1Identify the equation of the translated graph in general form x^2 + y^2 = 7 for T (-8,4)
The equation of the translated graph from x² + y² = 7 is (x - 8)² + (y + 4)² = 7
Identifying the equation of the translated graphfrom the question, we have the following parameters that can be used in our computation:
x² + y² = 7
The translation is given as
T (-8,4)
This means that
(x, y) = (x - 8, y + 4)
Using the above as a guide, we have the following equation
(x - 8)² + (y + 4)² = 7
Hence, the equation of the translated graph is (x - 8)² + (y + 4)² = 7
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There are 80 people in Ms. Peterson's classes. One-fourth of the students are going on a field trip. Of those students, one-half are bringing their lunch. How many students are going on the field trip and bringing their lunch?
A. 10 students
B. 20 students
C. 30 Students
D. 15 Students
A $5000 investment pays 3% interest compounded monthly. To the nearest cent, what will be the value of the investment after 10 years?
Answer:
We can use the formula for compound interest to solve this problem. The formula is:
A = P * (1 + r/n)^(n*t)
where:
A = the amount of money after t years
P = the principal amount (the initial investment)
r = the annual interest rate (as a decimal)
n = the number of times the interest is compounded per year
t = the number of years
In this case, P = $5000, r = 0.03, n = 12 (since the interest is compounded monthly), and t = 10. Plugging these values into the formula, we get:
A = 5000 * (1 + 0.03/12)^(12*10)
A = 5000 * (1.0025)^120
A ≈ $6,621.36
So the investment will be worth approximately $6,621.36 after 10 years.
Two trains leave the station at the same time, one heading west and the other east. The westbound train travels at 85 miles per hour. The eastbound train travels at 95 miles per hour. How long will it take for the two trains to be 396 miles apart?
Do not do any rounding.
The time it takes the trains 2.2 hours to be 396 miles apart.
What is time?Time is the duration of an event.
How to find how long will it take for the two trains to be 396 miles apart?Since two trains leave the station at the same time, one heading west and the other east. The westbound train travels at 85 miles per hour. The eastbound train travels at 95 miles per hour.
Let
d = distance travelled by first train = vt where v = speed of train = 85mph and t = timeAlso,
D = distance travelled by secnd train = Vt where V = speed of second train = 95 mph and t = timeSince both trains move in opposite directions and leave at the same time, their distance apart after time t is D' = d + D
= vt + Vt
= 85t + 95t
= 180t
Since D' = 396 miles, we have that
396 = 180t
t = 396 m/180 mph
t = 2.2 hours
So, it takes the trains 2.2 hours to be 396 miles apart.
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Convert 4325 to base 20.
Answer:
216.1.4 is 4325÷20 so yup that's what I think
The result of converting 4325 to base 20 is 5
What are the digits of basses?When you see a number on a line in Bass TAB, it means you should play a specific note on that string. The fret numbers on a string are represented by the numbers on Bass TAB. The fifth fret on your bass is represented by the number 5. If you play a standard bass guitar, you will notice that it only has four strings. E, A, D, G is the standard tuning for a four-string bass (the same as the four lowest strings on the guitar but one octave lower). Fourths are used to tune the bass strings. A 4-string will probably suffice for most styles.Therefore,
Converting 4325 to base 20.
4 × 20³ = 32,000
3 × 20² = 1,200
2 × \(20^{1}\) = 40
5 × \($20^{0}\) = 5
Adding all to get Ans = \($4325_{20}\)
Hence, The result of converting 4325 to base 20 is 5
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Susan is running a 5k race. The graph of distance vs. time is shown.
What interval is she running the fastest?
The interval of the graph at which Susan is running fastest is from point A ( 0 , 0 ) to B ( 10 , 3 )
Given data ,
Susan is running a 5k race. The graph of distance vs. time is shown
So , the slope of the first line is m₁
And , the slope of the second line is m₂
where the points are A ( 0 , 0 ) , B ( 10 , 3 ) , C ( 20 , 4 )
Now , slope of AB is
m₁ = ( 3/10 ) = 0.3
And , m₁ = 0.3 kilometers per minute
And , slope of BC is
m₂ = ( 4 - 3 ) / ( 20 - 10 )
m₂ = 1/10
m₂ = 0.1 kilometers per minute
Therefore , the interval is fastest at second line from B ( 10 , 3 ) , C ( 20 , 4 )
Hence , Susan is running fastest is from point A ( 0 , 0 ) to B ( 10 , 3 )
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Referring to the figure, what is the slope of the
line? pls quick
Answer:
26) 70
27) 12.86 sec
28) 350 feet
Step-by-step explanation:
26) Given points A(0, 0) and B(16, 1120)
slope m = \(\frac{y_2-y_1}{x_2-x_1}\)
\(=\frac{1120-0}{16-0}\\ \\=\frac{1120}{16}\\ \\=70\)
slope = 70
27) eq of a line is :
y = mx + c
y = 70x + c
Since the line passes through A(0,0) substituting the points in the equation,
0 = 70(0) + c
⇒ c = 0
eq of line: y = 70x
given distance is 900 ft
y = distance and x = time
⇒ y = 900
sun in eq,
900 = 70x
⇒ x = 900/70
⇒ x = 12.86
28) time is 5 sec
⇒ x = 5
sub in eq
y = 70(5)
⇒ y = 350
find the 9th term of the geometric sequence. 12,36,108,...
The 9th term of the given sequence is 78732.
The given sequence is 12, 36, 108... is a geometric sequence with a common ratio of 3.To find the 9th term of the given sequence, we will use the formula for the nth term of a geometric sequence, which is given by:
aₙ = a₁rⁿ⁻¹
Here, a₁ = 12 and r = 3.
Therefore, the formula for the nth term becomes:
aₙ = 12(3)ⁿ⁻¹
Now, we need to find the 9th term of the sequence. Hence, n = 9. Substituting the values of a₁ and r, and n in the formula, we get:
a₉ = 12(3)⁹⁻¹= 12(3)⁸= 12(6561)= 78732
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How many times greater is the one in 1,255 than the one in 82,175
Answer:
You take 1,000 because it's in the thousandths place of 1,255. The value of that one is 1,000 so you multiply that times 100, which is the value of 1 in 82,175.
To make a big batch of cookies for her father, Annmarie needs 1 1/4 pounds of chocolate chips, 3/4 pounds of walnuts, and 12 ounces of raisins. How many ounces of these three ingredients does she need in all?
A. 28ounces
B. 44ounces
C. 48ounces
D. 76ounces
Answer: B. 44 ounces
Answer:
what was it ??
Step-by-step explanation: i taking the test
test test test test test test test test test test
Solve the equation on the
interval [0, 2π).
√2 cos x - 1 = 0
Answer:
Step-by-step explanation:
\(\sqrt{2} cos x-1=0\\cos x=\frac{1}{\sqrt{2} } =cos (\frac{\pi }{4} ),cos (2\pi -\frac{\pi }{4} )\\cos x=cos(2n\pi +\frac{\pi }{4} ),cos(2n\pi +\frac{7\pi }{4} )\\x=2n\pi +\frac{\pi }{4} ,2n\pi +\frac{7\pi }{4} \\n=0\\x=\frac{\pi }{4} ,\frac{7\pi }{4}\)
it takes Joaquin 1/3 hour to hike 1/2 mile. What is Joaquin's speed in miles per hour?
PLEASE DO IT FAST I WILL GIVE FIVE SATR AND BRAINLIEST
I need help with this
Answer:
1500
Step-by-step explanation:
Number of boxes = 12
Number of pencils in each box = 125
Total number of pencils
= 12 × 125
= 1500 pencils
Please Show Work 6x(-4) Six times negative four.
Answer:
6 x (-4)
= (-24)
Step-by-step explanation:
when multiplying integers, you first need to multiply the numbers. Then you need to look at the signs if both numbers have the same signs or if it doesn't. if the signs are the same, the product is a positive . If the two numbers have different signs, you will get a negative product.
NOTE: if a number doesn't have a sign, it's a positive number
***PLZ PLZ HELP*** Find m < GEH if segment FH is a diameter of O E and m FG = 64
options:
120°
123°
126°
116°
Angles at the center of a circle add up to 360 degrees.
The measure of angle GEH in the circle is (d) 116 degrees
The given parameters are:
\(\mathbf{\angle FEG = 64^o}\)
Since line FH is the diameter of the circle;
It means that:
\(\mathbf{\angle FEG + \angle GEH = 180^o}\) --- By angle on a straight line theorem
Substitute 64 for FEG
\(\mathbf{64 + \angle GEH = 180^o}\)
Subtract 64 from both sides
\(\mathbf{\angle GEH = 180^o - 64}\)
Evaluate like terms
\(\mathbf{\angle GEH = 116^o}\)
Hence, the measure of angle GEH in the circle is (d) 116 degrees
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please help, its about fractions and stuff...
Answer:
Step-by-step explanation:
5(4/5x + 2/5 = -6/5)
4x + 2 = -6
4x = -8
x = -2
Determine the equation of the midline of the following graph.
Answer:
y = - 3
Step-by-step explanation:
the midline is a horizontal line positioned midway between the maximum and minimum values of the graph.
maximum = - 1 and minimum = - 5
then
(- 1 + (- 5)) ÷ 2 = (- 1 - 5) ÷ 2 = - 6 ÷ 2 = - 3 so equation of midline is
y = - 3