Answer:
Step-by-step explanation:
Remark
I don't think you need the quadratic formula for this equation. It just factors into (b - 2)(b - 2), but I'll do it because you requested it.
Formula
[tex]\text{x = }\dfrac{ -b \pm \sqrt{b^{2} - 4ac } }{2a}[/tex]
Givens
a = 1
b = - 4
c = 4
Solution
x = - - 4 +/- sqrt((-4^2) - 4*1*4)
====================
2*1
x = 4 +/- sqrt (16 - 16)
==========
2
x = 4/2
x = 2
There are 2 roots but both of them are the same. Some teachers say there is only 1 root. I'm in that group.
The Tunnel of Fear ride climbs straight up to its peak 505050 meters above the ground. Then, it drops 656565 meters into an underground tunnel.
What is the elevation of the tunnel relative to the ground?
Answer:
-15 meters.
Step-by-step explanation:
i did it on khan
A 3 ounces b 4 ounces c 12 ounces or D 15 ounces helps plsss
Answer:
D 15
Step-by-step explanation:
[tex]\frac{5}{20}[/tex]=[tex]\frac{x}{60}[/tex]
18 out of 20 to percentage
Answer:
90%
Step-by-step explanation:
Tamara invested $15,000 in an account that pays 4% annual simple interest. Tamara will not
make any additional deposits or withdrawals. How much Interest will Tamara earn on her
Investment at the end of 3 years?
F $1,800
G $600
H $450
J $1.873
Answer:
F $1800
Step-by-step explanation:
First, converting R percent to r a decimal
r = R/100 = 4%/100 = 0.04 per year,
then, solving our equation
I = 15000 × 0.04 × 3 = 1800
I = $ 1,800.00
The simple interest accumulated
on a principal of $ 15,000.00
at a rate of 4% per year
for 3 years is $ 1,800.00.
Answer:
F. $1800
Step-by-step explanation:
Simple interest means that a percent of the initial amount will be paid back each year, this amount will not change from year to year. To calculate the simple interest over a given unit of time, multiply the amount by the interest rate in decimal form, then multiply that value by the time span that this was taken over. The result will be the amount earned.
The following formula can be used to describe this scenario,
[tex]simple\ interest=(time)((amount)(interest\ rate))[/tex]
Substitute,
[tex]=(3)((15000)(4))[/tex]
To convert a percent to decimal form, divide the percent by (100)
[tex]=(3)((15000)(0.04))[/tex]
[tex]=(3)(600)\\\\=1800[/tex]
Find the missing side of this right
triangle.
21
Х
15
x=
✓[?]
Enter the number that belongs in the green box.
Enter
Answer:
Step-by-step explanation:
square of 15 + square of x = square of 21
225 + square of x = 441
441 - 225 = 216
x = 216
A rectangular prism and its dimensions are shown in the diagram.
Dimensions:length 7.5 width 5 height 6.5
what is the total surface area
Answer:
237.5
Step-by-step explanation:
2·(5·7.5+6.5·7.5+6.5·5)=237.5
please guys help please
Answer:
See attachment for plot
Step-by-step explanation:
The attachment has enough information to solve for only question (4).
Solving (4), we have:
[tex]W = (-1,-1)[/tex]
[tex]X = (4,1)[/tex]
[tex]Y = (4,5)[/tex]
[tex]Z =(1,7)[/tex]
Required
Reflect over the x-axis
When a point (x,y) is reflected over the x-axis, the resulting point is (x,-y)
i.e.
[tex](x,y) => (x,-y)[/tex]
So, we have:
[tex]W = (-1,-1)[/tex] ==> [tex]W' =(-1,1)[/tex]
[tex]X = (4,1)[/tex] ==>[tex]X' = (4,-1)[/tex]
[tex]Y = (4,5)[/tex] ==> [tex]Y' =(4,-5)[/tex]
[tex]Z =(1,7)[/tex] ==> [tex]Z' = (1,-7)[/tex]
So, we plot on a grid, the following points:
[tex]W' =(-1,1)[/tex]
[tex]X' = (4,-1)[/tex]
[tex]Y' =(4,-5)[/tex]
[tex]Z' = (1,-7)[/tex]
See attachment for plot
Inequality of t+250+800
Answer:
2983839i8
468393749493948
Hsjejrhrjjh4u4i84748394
Je83847483
373783838383884
373838383
Jkffffffffffffffffffffffffffffdddfddfffffffddddddddddddddddddfffffffffffffffffffffffffff
what is the answer?
8 x 1/2 = ______
Answer:
4
Step-by-step explanation:
Another way to write this is 8/1 x 1/2. Then the answer would be 8/2. Simplify to get 4.
8 × 1/2 = 4!
Calculation steps:
8 ×
1
2
= 8 ×
1
2
=
8 × 1
1 × 2
=
8
2
=
8 ÷ 2
2 ÷ 2
= 4
. Three employees each clocked a different number of hours worked this week.
Employee Hours Worked Total Earned (in dollars)
A 35 $420
B 22 $242
C 16 $216
Which employee has the highest earnings per hour?
A) Employee A
B) Employee B
C) Employee C
Answer:
C IS THE ANSWER
Each small square in the figure below measures 1 foot on each side what is the area of the triangle
Answer:
It should be 0.5 if I’m wrong let me know
Step-by-step explanation:
A=HbB/ 2 = 1x1/2=0.5
AP Statistics Quiz 10.2
1.
Mrs. Toguchi wants to determine if politicians tend to have higher salaries, on average, than first
responders (specifically emergency medical technicians, EMTs). Independent random samples from each
of these two professions were selected and their salaries were recorded. The data are summarized below.
a) the distribution of salary in each group is skewed right. The use of two-sample t procedures is still justified why?
b) construct and interpret a 99% confidence interval for the difference in the true mean salaries for politicians and EMTs
Answer:
Hello some data related to your question is missing attached below is the missing data
a) we will reject the null hypothesis hence it can be determined that the salary of politicians is greater than that of EMTs through the use of two-sample t procedures. since ( to > critical value )
b) ( 3.819 , 8.5226 )
Step-by-step explanation:
Applying the Given data:
The test hypothesis :
H0 : μ1 = μ2
Ha : μ1 > 2
A) since ( to > critical value ) we will reject the null hypothesis hence it can be determined that the salary of politicians is greater than that of EMTs through the use of two-sample t procedures
B ) construct and interpret
next calculate the SP value
[tex]S^{2} _{p}[/tex] = [tex]\frac{( n1 - 1 )S^{2} _{1} + ( n_{2}- 1 )S^{2} _{2} }{n1 + n2 - 2}[/tex]
where: S1 = 7524 , n1 = 50 , n2 = 100 , S2 = 5551 ( input values into equation above )
∴ [tex]S^{2} _{p}[/tex] = 39354491.3716
hence : [tex]S_{p}[/tex] = 6273.32
next calculate the value of test statistic
to = ( X1 - X2 - Δo ) / Sp [tex]\sqrt{\frac{1}{n1} + \frac{1}{n2} }[/tex]
where: X1 = 61234 , X2 = 54529 , Sp = 6273.32 , n1 = 50 , n2 = 100 ( input values into equation above )
to = 6705 / 1086.5702 = 6.1708
Df ( degree of freedom ) = n1 + n2 - 2 = 148
critical value at ∝ = 0.01 = ± 2.3518 ( using excel function : T.INV(0.01,148) )
hence the confidence Interval
= ( 6.1708 ± 2.3518 )
= ( 3.819 , 8.5226 )
For the table of Mrs. Toguchi the t test for two sample is not justified and the confidence interval for this two values is (6.1708, ±2.3518).
What is random sample?Random sample is the way to choose a number or sample in such a manner that each of the sample of the group has an equal probability to be chosen.
Mrs. Toguchi wants to determine if politicians tend to have higher salaries, on average, than first responders (specifically emergency medical technicians, EMTs).
Independent random samples from each of these two professions were selected and their salaries were recorded. The data are summarized below.
Politicians EMT's
Mean $61,234 $54,529
Standard deviation $7524 $5551
n 50 100
a) The distribution of salary in each group is skewed right. The use of two-sample t procedures is still justified-The hypothesis for the test,
[tex]H_0:\mu_1=\mu_2\\H_a:\mu_1 > 2[/tex]
No it is not justifies, as the null hypothesis is rejected.
b) construct and interpret a 99% confidence interval for the difference in the true mean salaries for politicians and EMTsThe pooled estimate of a common population standard deviation can be given as,
[tex]S_p=\sqrt{\dfrac{(n_1-1)S_1^2+(n_2-1)S_2^2}{n_1+n_2-2}}[/tex]
Put the values in the above formula from the table, we get,
[tex]S_p=\sqrt{\dfrac{(50-1)(7524)^2+(100-1)(5551)^2}{50+100-2}}\\S_p=6273.32[/tex]
Use the formula of test statistics for equal variance as,
[tex]t=\dfrac{\overline y_1-\overline y_2-0}{s_p\sqrt{\dfrac{1}{n_1}+\dfrac{1}{n_2}}}[/tex]
Put the values from the table as,
[tex]t=\dfrac{61234-54529-0}{(6263.32)\sqrt{\dfrac{1}{50}+\dfrac{1}{100}}}\\t=6.1708[/tex]
The degree of freedom can be given as,
[tex]DF=100+50-2\\DF=148[/tex]
The critical value for 99 percent interval (0.01) is ±2.3518.
Hence, the confidence interval for this two values is (6.1708, ±2.3518).
Thus, for the table of Mrs. Toguchi the t test for two sample is not justified and the confidence interval for this two values is (6.1708, ±2.3518).
Learn more about the random sample here;
https://brainly.com/question/17831271
What is the distance between the points (5,7) and (3, 4) on the coordinate
plane?
A. 12.04 units
B. 7.28 units
C. 3.61 units
D. 8.54 units
Answer:
C) 3.61 units
Step-by-step explanation:
5 - 3 = 2
7 - 4 = 3
distance² = 2² + 3³ = 4 + 9 = 13
distance = √13 = 3.61
Sarah is trying to pick out an outfit for the first day of school. She can choose from 2 pairs of pants, 8 t-shirts, and 2 pairs of shoes. How many different outfits does Sarah have to choose from?
Answer:
5 outfits
Step-by-step explanation:
The number of many different outfits does Sarah have to choose from should be 32.
Calculation of the number of different outfits;Since She can choose from 2 pairs of pants, 8 t-shirts, and 2 pairs of shoes.
So here the number of distinct outfits should be like
[tex]= 2\times 8 \times 2[/tex]
= 32
hence, The number of many different outfits does Sarah have to choose from should be 32.
Learn more about number here: https://brainly.com/question/24604425
Find the area of this circle. Use 3.14 for .
82 mm
The area of the circle is about mm2.
(Round to the nearest hundredth as needed.
Answer:
Step-by-step explanation:
What is 82 mm? The radius or diameter?
If the radius is 82 mm, the area is π82² ≅ 21,113.36 mm².
If the diameter is 82 mm, the radius is 41 mm and the area is π41² ≅ 5,278.34 mm²
If ∠C and ∠D are complementary angles, m∠C = (4x + 3)°, find m∠D = (15x - 8)°, find m∠D.
Answer:
67
Step-by-step explanation:
4x+3+15x-8=90(complementary angle)
x=5
now D = 15*5-8
d=67
Which equation represents 3/8 less than 7/8 of a number?
A. 3/8 -7/8n
B. 3/8n - 7/8
C. 7/8n-3/8
D. (7/8-3/8)n
) What is the absolute value |-5 l
Answer: 5
Step-by-step explanation:
A company sells widgets. The amount of profit, y, made by the company, is related to the selling price of each widget, x, by the given equation. Using this equation, find out what price the widgets should be sold for, to the nearest cent, for the company to make the maximum profit.
y=-15x^2+801x-5900
Answer:
In order to maximize profit, each widget should sell for $26.70.
Step-by-step explanation:
The total amount of profit y given by the selling price of each widget x is given by:
[tex]y=-15x^2+801x-5900[/tex]
And we want to determine the price of each widget such that is yields the maximum profit.
Since the equation is a quadratic, the maximum profit will occur at the vertex of our parabola.
The vertex of a quadratic is given by:
[tex]\displaystyle \left(-\frac{b}{2a},f\left(-\frac{b}{2a}\right)\right)[/tex]
So, let's find the vertex. In our equation, a = -15, b = 801, and c = -5900.
Therefore, the price that maximizes profit is:
[tex]\displaystyle x=-\frac{801}{2(-15)}=\$26.70[/tex]
Therefore, in order to maximize profit, each widget should sell for $26.70.
Notes:
Then substituting this back into the equation, the maximum profit is:
[tex]y_{\text{max}}=-15(26.7)^2+801(26.7)-5900=\$ 4793.35[/tex]
Please help 13 points number 3 no links !
Answer:
H
Step-by-step explanation:
[tex]\frac{1}{4} + \frac{4}{5} = 1\frac{1}{20}[/tex]
Answer:
Hi, using L.C.M, It will be option H
PLEASE ANSWER ILL GIVE BRAINLY
Answer:
Step-by-step explanation:
A
What is the mean absolute deviation of each swim club?
A:5
B:50
C:0
D:10
Answer:
c
Step-by-step explanation:
1) Determine the area of the shaded region.
14 ft
8 ft
Answer:
61.73 ft ^2
Step-by-step explanation:
area of rectangle
14x8 = 112
area of circle
π(4)(4) = 50.27
subtract
112-50.27 = 61.73
Given the polynomial f(x) = -4x2 + 5x + 7, what is the smallest positive integer a such that the Intermediate Value
Theorem guarantees a zero exists between 0 and a?
Answer:
here the smallest positive no be (0,-14)
Step-by-step explanation:
The computation is shown below:
Here we put the value of x as 0, 1,2, 3
And solve the polynomial
Given that
-4x^2 + 5x + 7
Now
x = 0
So,
= -4(0)^2 + 5(0) + 7
= 0 + 0 + 7
= 7>0
x = 1
= -4(1)^2 + 5(1) + 7
= -4 + 5 + 7
= 8>0
x = 2
= -4(2)^2 + 5(2) + 7
= -16 + 17
= 1>0
x = 3
= -4(3)^2 + 5(3) + 7
= -36 + 15 + 7
= -14>0
So, here the smallest positive no be (0,-14)
the sum of 1+3+5+7+...+101=?
Answer:
.......117. hope it helps
Determine the slope and y-intercept of each linear function below y=x/3-1
Answer:
Slope= 1/3
y-int: -1
Step-by-step explanation:
Given f (x) = x + 1 and g(x) = x2, what is (gof)(x)?
Answer:
(gof)(x) = x² + 2x + 1
Step-by-step explanation:
You can solve this by plugging f into g and finding the result:
(gof)(x) = f(x)²
= (x + 1)²
= x² + 2x + 1
Trend lines
The scatterplot below shows several data
points and an approximate trend line for
the data.
у
350
300
250
200
150
100
SO
D 200 400 600
1.
Which is the best estimate of the value
of x that corresponds to the y value of
325? (8.18, 8.1C, 8.1E, 8.1F)
A 175
B 700
C 625
D 125
Please help, I'll mark the correct answer as brainiest!!!
Answer:
$1612
Step-by-step explanation:
12% of 2400
12/100 * 2400
0.12 * 2400 = 288
Amount to be paid :
2400 - 288 = 2112
Down payment = $500
Amount owed =
Amount to be paid - Down payment
$2112 - $500
= $1612
Hence, amount owed for installment loan = $1612
A scuba diver descended 20 1/5 feet below sea level. Then, he descended another 3/ 1/5 feet. Which of the following is true about the scuba diver after both descents?
A.
The location of the scuba diver in relation to sea level was feet.
B.
The location of the scuba diver in relation to sea level was feet.
C.
The location of the scuba diver in relation to sea level was feet.
D.
The location of the scuba diver in relation to sea level was feet.
Answer:
A, B, C, and D
Step-by-step explanation:
all answer choices are the same