Answer:
45.94%
Step-by-step explanation:
Probability-Above 45.94%
Z =0.1
x= 61
µ 60
σ 9.8
2. Find the measure of angle J.
BRAINLIEST Which equation could be solved using this application of the quadratic formula?
A.
x2 + 1 = 2x − 3
B.
x2 – 2x − 1 = 3
C.
x2 + 2x − 1 = 3
D.
x2 + 2x − 1 = -3
The quadratic equation that could be solved using the given application of the quadratic formula is x² + 2x - 1 = 3, which in standard form is x² + 2x - 4 = 0. Hence, option C is the right choice.
What is the quadratic formula?A standard quadratic equation of the form ax² + bx + c = 0, can be solved using the quadratic formula, which is given as:
[tex]x = \frac{-b\pm\sqrt{b^2-4ac} }{2a}[/tex]
How to solve the question?In the question, we are asked for the quadratic equation, which could be solved using this application of the quadratic formula:
[tex]x = \frac{-2\pm\sqrt{2^2-4(1)(-4)} }{2(1)}[/tex]
To find the quadratic equation for which we use the quadratic formula
[tex]x = \frac{-2\pm\sqrt{2^2-4(1)(-4)} }{2(1)}[/tex]
we compare this equation with the standard quadratic formula,
[tex]x = \frac{-b\pm\sqrt{b^2-4ac} }{2a}[/tex]
to get a = 1, b = 2, and c = -4, to get the standard quadratic equation, ax² + bx + c = 0, as (1)x² + (2)x + (-4) = 0, or x² + 2x - 4 = 0.
Now, we convert the given options in the standard form to check for the correct choice:
A. x² + 1 = 2x - 3 ⇒ x² - 2x + 4 = 0, which is not the correct choice.B . x² - 2x - 1 = 3 ⇒ x² - 2x - 4 = 0, which is not the correct choice.C. x² + 2x - 1 = 3 ⇒ x² + 2x - 4 = 0, which is the correct choice.D. x² + 2x - 1 = -3 ⇒ x² + 2x + 2 = 0, which is not the correct choice.Thus, the quadratic equation that could be solved using the given application of the quadratic formula is x² + 2x - 1 = 3, which in standard form is x² + 2x - 4 = 0. Hence, option C is the right choice.
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Which numbers are a distance of 2 units from 8 on a number line?
++++++++++
-10-9-8-7-6-5-4-3-2-1 0 1 2 3 4 5 6 7 8 9 10
Select each correct answer.
0-2
06
O 8
0 10
0-6
0-8
Step-by-step explanation:
0 10
0-6
this is the answer. I am sure
The value of numbers are 6 and 10 which are a distance of 2 units from 8 on a number line.
What is mean by Number line?Number line is a horizontal line where numbers are marked at equal intervals one after another form smaller to greater.
We have to given that;
Number line is shown in figure.
And, We have to find the value of numbers which are a distance of 2 units from 8 on a number line.
Now,
We can find the value of numbers as;
⇒ | 8 - 2 | = 6
⇒ | 8 + 2 | = 10
Therefore, The value of numbers are 6 and 10 which are a distance of 2 units from 8 on a number line.
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Brady scored a total of 320 points last season for his basketball team. This season, the team
added 2 extra games to the schedule. Brady thinks this will allow him to increase the total
number of points he scores by 5%. How many points is Brady expecting to score this season?
a. 336
b. 325
c. 304
d. 16
Work out the given expression (6x²y³-3xy⁴)÷3xy²
Answer:
[tex] \frac{3x {y}^{2} (2xy - {y}^{2} )}{3x {y}^{2} } \\ 2xy - {y}^{2} [/tex]
Answer:
[tex]\boxed{=y(2x-y)}[/tex]
Step-by-step explanation:
[tex]\dfrac{6x^2y^3-3xy^4}{3xy^2} \\\\=\dfrac{3xy^3(2x-y)}{3xy^2} \\\\=y(2x-y)\\\\=2xy-y^2[/tex]
Put the following equation of a line into slope-intercept form, simplifying all
fractions.
4x + 2y = -18
4x + 2y = -18
2x + y = -9
y = -2x - 9
HELP ME PLEASE i need this thing really fast
Answer:
[tex]h(x - 1) + 2[/tex]
[tex]h( - 3+ 1) + 2[/tex]
[tex]h \times - 4 + 2[/tex]
[tex] - 4h + 2[/tex]
(x^2+12x+36)-(x-1)^2
x^2-4xy+4y^2
16x^2-8x+1
x^2+4x+4
4x^2+12xy+9y^2
x^2-8x-16
4x^2-16
x^2-1
x^2+6x+9
9x^2-25y^4
16x^2-8x+1
Answer:
Hey I'm sorry I didn't get to answer your question it's just that I need the points because I don't have enough to get help with my question. I hope you get the answer that you need for you question. Good Luck :)
Step-by-step explanation:
What is the value of X?
Answer:
C. x=18
Step-by-step explanation:
note that PQ is the diameter of circle O. this means that angle QRP is a 90 degree angle. now we have 5x=90 so x=18
Write a short account on farmer with the help of statement given, it says that the Indian farmer is born in dept lives in dept and die in dept.
plese help. need help.
Answer:
sir Malcolm darling
Step-by-step explanation:
he has said Indian farmer is born in dept lives in dept and die in dept.
Help help help help help help help help help help help help help
Answer:
[tex]8\frac{1}{2} x - 6\frac{1}{2}[/tex]
Step-by-step explanation:
[tex]Simplification (show.all.of.the.following)\\(3x-4\frac{1}{2})-(-5\frac{1}{2}x-2)\\3x-4\frac{1}{2}+5\frac{1}{2}x-2\\(3x+5\frac{1}{2}x)-(4\frac{1}{2}+2)\\(8\frac{1}{2})-(6\frac{1}{2})[/tex]
256x²+² - x²y² + 49y²+²
[tex]\\ \sf\longmapsto 256x^2y^2-x^2y^2+49y^2x^2[/tex]
[tex]\\ \sf\longmapsto 256x^2y^2-x^2y^2+49x^2y^2[/tex]
[tex]\\ \sf\longmapsto (256-1+49)x^2y^2[/tex]
[tex]\\ \sf\longmapsto 304x^2y^2[/tex]
PLS HELP ME I WILL MARK YOU AS BRAINLIEST!!!
Answer:
Option B, 187.5 cm³
Step-by-step explanation:
Volume of the triangular prism,
base area × height
= (10×7.5/2)×5
= 187.5 cm³
HELP PLSSS !!! CAROLINE BOUGHT SNACKS FOR HER TEAM’S PRACTICE. SHE BOUGHT A BAG OF CHIPS FOR $2.39….
Answer:
D
Step-by-step explanation:
9) What is the area of a square with a side length of 120 cm?
Area of square = Side × Side
Side of square is 120 Cm.⇛Area = 120 cm × 120 cm
⇛Area = 14400 cm²
Hence , the area of square is 14400 cm²
Answer:
14400
Step-by-step explanation:
Area for square formula: B × H
Since a square has equal sides for each side, you will multiply 120 by itself.
120 × 120 = 14400
The area of the square is 14400.
Hope this helped.
solve for F ------- 2/3 + f = 1/5
A= 13/15
B= 7/15
C= - !3/15
D= - 7/15
[tex]\\ \sf\longmapsto \dfrac{2}{3}+f=\dfrac{1}{5}[/tex]
[tex]\\ \sf\longmapsto f=\dfrac{1}{5}-\dfrac{2}{3}[/tex]
[tex]\\ \sf\longmapsto f=\dfrac{3-10}{15}[/tex]
[tex]\\ \sf\longmapsto f=\dfrac{-7}{15}[/tex]
Answer:
D. -7/15
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
f+ 2/3-2/3= 1/5-2/3
Step 2: Subtract 2/3 from both sides.
f= -7/15
Help on 36 and 37 pls, the choices for 37 are 70,77,82, and 90
Answer:
36: G-30
37: Please add the rest of the questions, so I can answer 37.
Step-by-step explanation:
How do you simplify the square root of 64a^6
Answer:
it's (2a)^6
Step-by-step explanation:
so first you need to write 64a^6 in exponential form simplifying it to 2^6a^6
then multiply the bases which gives you (2a)^6
sorry if I didn't explain it very well but I hope I helped!
Answer:
[tex]\sqrt{64a^{6} } = 8a^{3}[/tex]
8*8 = 64
a^3*a63 = a^6
Step-by-step explanation:
The graph of the invertible function g is shown on the grid below.
What is the value of g^-1(-8)
=======================================================
Explanation:
The result of [tex]g^{-1}(-8)[/tex] is the same as trying to find x in [tex]g(x) = -8[/tex]
Draw a horizontal line through -8 on the y axis. This horizontal line intersects the curve at point P. From point P, move upward until you reach the x axis. You should get to 7 on the x axis. Therefore, the solution to [tex]g(x) = -8[/tex] is [tex]x = 7[/tex]. In other words, [tex]g(7) = -8[/tex]. This ultimately means [tex]g^{-1}(-8) = 7[/tex]
Refer to the diagram below.
A piece of wire, 12.55m long is cut into 50 pieces of equal length. How long is each piece?
Answer:
Each wire is 0.251 m
Step-by-step explanation:
[tex] = \frac{12.55}{50} \\ \\ = 0.251[/tex]
Answer:
length of wire= 12.55m= 1255cm
Number of pieces= 50
length of each piece=?
length of each piece = 1255/ 50
length of each piece= 25.1cm= 0.251m
The formula F(C) = 9 5 C + 32 calculates the temperature in degrees Fahrenheit, given a temperature in degrees Celsius.
Answer:
True
Step-by-step explanation:
Assuming this is a true or false question, the given formula is used to convert temperatures that are in degrees Celsius to degrees Fahrenheit.
[tex]F(C)=\frac{9}{5} C+32[/tex]
8.
Find the number of real number solutions for the equation. x2 + 5x + 7 = 0
A. 2
B. cannot be determined
C. 0
D. 1
Given the function g(x) = x2 + 5x + 1, determine the average rate of change of
the function over the interval -9 < x < -2.
Answer:
-6
Step-by-step explanation:
The average rate of change of a function, f(x), on interval [a,b] is (f(b)-f(a))/(b-a).
So the avereage rate of change of a function, f(x)=x^2+5x+1, on [-9,-2] is
(f(-2)-f(-9))/(-2--9)
(f(-2)-f(-9))/(7)
Stop!
To find f(-2), you replace x in f(x) = x^2 + 5x + 1, with (-2) giving you f(-2)=(-2)^2+5(-2)+1=4-10+1=-6+1=-5.
To find f(-9), you replace x in f(x) = x^2 + 5x + 1, with (-9) giving you f(-2)=(-9)^2+5(-9)+1=81-45+1=36+1=37.
Continue!
(f(-2)-f(-9))/(7)
=(-5-37)/7
=(-42)/7
=-42/7
=-6
A random sample of 23 items is drawn from a population whose standard deviation is unknown. The sample mean isx⎯ ⎯ x¯ = 840 and the sample standard deviation is s = 15. Use Appendix D to find the values of Student's t. (a) Construct an interval estimate of μ with 98% confidence. (Round your answers to 3 decimal places.) The 98% confidence interval is from to
Answer:
[tex](832.156, \ 847.844)[/tex]
Step-by-step explanation:
Given data :
Sample standard deviation, s = 15
Sample mean, [tex]\overline x = 840[/tex]
n = 23
a). 98% confidence interval
[tex]$\overline x \pm t_{(n-1, \alpha /2)}. \frac{s}{\sqrt{n}}$[/tex]
[tex]$E= t_{( n-1, \alpha/2 )} \frac{s}{\sqrt n}}[/tex]
[tex]$t_{(n-1 , \alpha/2)} \frac{s}{\sqrt n}$[/tex]
[tex]$t_{(n-1, a\pha/2)}=t_{(22,0.01)} = 2.508$[/tex]
∴ [tex]$E = 2.508 \times \frac{15}{\sqrt{23}}$[/tex]
[tex]$E = 7.844$[/tex]
So, 98% CI is
[tex]$(\overline x - E, \overline x + E)$[/tex]
[tex](840-7.844 , \ 840+7.844)[/tex]
[tex](832.156, \ 847.844)[/tex]
If sin 115° ≈ 0.91 and cos 115° = -0.42, then sin -115° =
Answer:
sin -115° = -0.91
Step-by-step explanation:
Point A is (cos 115°, sin 115°). Since cos 115° = -0.42 and sin 115° ≈ 0.91, it means that the coordinates at point A is (-0.42, 0.91).
As for point B which was revolved around -115°,
the coordinates will be similar to point A but you just have to change the negative.
B(cos -115°, sin -115°) = B(0.42, -0.91)
Answer:
PLATO ANSWER
-0.91; -0.42
Step-by-step explanation:
The sine function is an odd function, meaning that sin -x = -sin x. Because sin 115° ≈ 0.91, sin -115° ≈ -0.91.
The cosine function is an even function, meaning that cos -x = cos x. Because cos 115° = -0.42, cos -115° = -0.42.
If the density of the wood is 3 pounds per cubic foot and if the weight of the solid is
360 pounds, what is the width, w, in feet, of the solid?
(A) 5.0
(B) 2.5
(C) 2.4
(D) 1.5
The area of the triangular face of the solid is 48 if that helps
The width in feet of the given solid is 1.136
Density is defined as the ratio of the mass per unit volume
Density = Mass/Volume
Given
Weight = 360 pounds
Density = 3 pounds per cubic foot
Get the mass;
Since W = mg
m = W/g
m = 360/2.2
m =163.64 lbm/kg
Get the volume
From the formula;
Volume = Mass/Density
Volume = 163.64 /3
Volume = 54.55 ft³
Next is to get the width
Volume of the triangular prism = Base Area * Width
Base Area = 48ft²
54.55 = 48w
w = 54.55/48
w = 1.136
Hence the width of the solid in feet is 1.136ft
Learn more on how to calculate density here https://brainly.com/question/17887628
If tanA=1/7 and tanB=1/3 prove that cos2A=sin4B
Answer:
{4 |8}. 96. 24
sin4B{3. |9}= ___. = ___ = cos2A
{10|10} 100. 25
{9 |9}
A business made a profit of $44,000 in 1991. Then its profits decreased by 5% each year for 4
years. Find its profit in the year 1995.
Answer:
= profit in the year 1995 are $880,000
The sum of the first n terms of an arithmetic series is 2n(n+3).
Find the first term of the series using the formula n/2(2a+(n-1)d)
Answer:
Sum:
[tex]{ \bf{S _{n} = \frac{n}{2} (2a + (n - 1)d) }} \\ \\ { \sf{2n(n + 3) = \frac{n}{2}(2a + (n - 1)d) }} \\ \\ { \sf{4 {n} + 12=2a + (n - 1)d }} \\ { \sf{2a = 4n - nd + d + 12}} \\ { \sf{2a = n(4 - d) + 12 + d}} \\ { \sf{a = \frac{1}{2}(n(4 - d) + 12 + d) }}[/tex]
Any help would be nice
Answer:
11. angles on a straight line add up to 180
so 180 -133 equal to b.b=47
12.Vertical opposite angles are equal.
therefore b=50
