Answer:
Step-by-step explanation:
We are looking for P(58 < x < 64). We need to find the percentage to the left of the z-scores for each of these numbers. To find the z scores, use the formula:
[tex]z=\frac{x_i-\bar{x}}{\sigma}[/tex]
[tex]z=\frac{58-62}{4}[/tex] which gives us a z-score of -1. The percentage of numbers to the left of a z-score of -1 is .1586553
Now for the other z-score:
[tex]z=\frac{64-64}{4}[/tex] which gives us a z-score of .5. The percentage of numbers to the left of a z-score of .5 is .69146246
The lower percentage subtracted from the higher gives the area in question:
.69146246 - .1586553 = .53280716, or as a percentage, 53.3%, choice A.
And these questions
Answer:
17) 250 km²
18) never
19) sometimes
20) 288 in³
Step-by-step explanation:
17)
this polygon can be seen as the combination of two shapes : a 16×13 rectangle on top, and a right-angled triangle at the bottom.
this triangle has the side lengths
15 km
(16 - 10) = 6 km
(27 - 13) = 14 km
the total area is the area of the rectangle plus the area of the triangle.
the area of the rectangle (length×width)
Ar = 16×13 = 208 km²
the area of the triangle (baseline×height/2)
since it is a right-angled triangle, we use one side of the 90 degree angle as baseline and the other as height
At = 6×14/2 = 3×14 = 42 km²
so the total area of the polygon
Ap = Ar + At = 208 + 42 = 250 km²
18) the first quadrant is the area between the right (positive) side of the x axis and the upper (positive) part of the y axis. all points here have always and only positive x and y values. never any negative ones.
19) when a point is on the x-axis, well, left of point 0 on the x -axis are only negative values of x. and right of point 0 of the x-axis are only positive values of x. so, for some of these points the x value is positive, and for some it is negative. therefore "sometimes".
20) the volume of a box is length×width×height.
V = 8×3×12 = 24×12 = 288 in³
Simplify. (x2+2x-4)+(2x-5x-3)
Answer:
Step by Step Solution
More Icon
STEP
1
:
3
Simplify ——
x2
Equation at the end of step
1
:
3
((((2•(x2))-5x)-——)+2x)-3
x2
STEP
2
:
Equation at the end of step
2
:
3
(((2x2 - 5x) - ——) + 2x) - 3
x2
STEP
3
:
Rewriting the whole as an Equivalent Fraction
3.1 Subtracting a fraction from a whole
Rewrite the whole as a fraction using x2 as the denominator :
2x2 - 5x (2x2 - 5x) • x2
2x2 - 5x = ———————— = ———————————————
1 x2
Equivalent fraction : The fraction thus generated looks different but has the same value as the whole
Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator
STEP
4
:
Pulling out like terms
4.1 Pull out like factors :
2x2 - 5x = x • (2x - 5)
Adding fractions that have a common denominator :
4.2 Adding up the two equivalent fractions
Add the two equivalent fractions which now have a common denominator
Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:
x • (2x-5) • x2 - (3) 2x4 - 5x3 - 3
————————————————————— = —————————————
x2 x2
Equation at the end of step
4
:
(2x4 - 5x3 - 3)
(——————————————— + 2x) - 3
x2
STEP
5
:
Rewriting the whole as an Equivalent Fraction :
5.1 Adding a whole to a fraction
Rewrite the whole as a fraction using x2 as the denominator :
2x 2x • x2
2x = —— = ———————
1 x2
Polynomial Roots Calculator :
5.2 Find roots (zeroes) of : F(x) = 2x4 - 5x3 - 3
Polynomial Roots Calculator is a set of methods aimed at finding values of x for which F(x)=0
Rational Roots Test is one of the above mentioned tools. It would only find Rational Roots that is numbers x which can be expressed as the quotient of two integers
Can anyone help me with this it’s question 2 help please
Answer: 2x³ + 2x² + 36
Working:
= (2x + 6) × (x² - 2x + 6)
= 2x³ - 4x² + 12x + 6x² - 12x + 36
= 2x³ -4x² + 6x² +12x -12x +36
= 2x³ + 2x² + 36
Answered by Gauthmath must click thanks and mark brainliest
State if the triangles are similar. If so, how do you know they are similar and complete the similarity statement.
ΔFED
~ ____
Answer:
FED ~ MLF
Step-by-step explanation:
∠L = ∠E
∠F = ∠F
Since both angles are congruent, that would mean all angles are congruent.
If all angles are congruent, then the triangles are always similar no matter the length of the sides.
The complete statement is [tex]\triangle FED\sim \triangle FLM[/tex].
What are the similar triangles?Similar triangles are the triangles that have the same shape, but their sizes may vary.
What is AA or angle angle similarity rule?If any two angles of a triangle are equal to any two angles of another triangle, then the two triangles are similar to each other.
What are vertically opposite angles?When two lines intersect each other, then the opposite angles are formed due to intersection are called vertical angles or vertically opposite angles.
According to the given question.
We have two triangles LMF and EDF
In triangles LMF and EFD we have
∠MLF = ∠DEF (given)
Also, ∠MFL = ∠DFE (vertically opposite angles)
Since, we know that " if any two angles of a triangle are equal to any two angles of another triangle, then the two triangles are similar to each other".
Therefore, by AA similarity criteria triangle FED is similar to FLM.
Hence, the complete statement is [tex]\triangle FED\sim \triangle FLM[/tex].
Find out more information about AA similarity rule and vertically opposite angles here:
https://brainly.com/question/10069556
#SPJ2
factor x ^ 4 - 5x ^ 2 + 4
( − 2 ) ( 3+ 2 2 − − 2 )
Hope this helps, have a great day!
the sum of the fractions 2/y-3 and 6/y+3 is equal to their
Step-by-step explanation:
Move expression to the left side and change its sign
5
y
−
3
+
10
y
2
−
y
−
6
−
y
y
+
2
=
0
Write
−
y
as a sum or difference
5
y
−
3
+
10
y
2
+
2
y
−
3
y
−
6
−
y
y
+
2
=
0
Factor out
y
and
−
3
from the expression
5
y
−
3
+
10
y
(
y
+
2
)
−
3
(
y
+
2
)
−
y
y
+
2
=
0
Factor out
y
+
2
from the expression
5
y
−
3
+
10
(
y
+
2
)
(
y
−
3
)
−
y
y
+
2
=
0
Write all numerators above the least common denominator
5
(
y
+
2
)
+
10
−
y
(
y
−
3
)
(
y
+
2
)
(
y
−
3
)
=
0
Distribute
5
and
−
y
through the parenthesis
5
y
+
10
+
10
−
y
2
+
3
y
(
y
+
2
)
(
y
−
3
)
=
0
Collect the like terms
8
y
+
20
−
y
2
(
y
+
2
)
(
y
−
3
)
=
0
Use the commutative property to reorder the terms
−
y
2
+
8
y
+
20
(
y
+
2
)
(
y
−
3
)
=
0
Write
8
y
as a sum or difference
−
y
2
+
10
y
−
2
y
+
20
(
y
+
2
)
(
y
−
3
)
=
0
Factor out
−
y
and
−
2
from the expression
−
y
(
y
−
10
)
−
2
(
y
−
10
)
(
y
+
2
)
(
y
−
3
)
=
0
Factor out
−
(
y
−
10
)
from the expression
−
(
y
−
10
)
(
y
+
2
)
(
y
+
2
)
(
y
−
3
)
=
0
Reduce the fraction with
y
+
2
−
y
−
10
y
−
3
=
0
Determine the sign of the fraction
−
y
−
10
y
−
3
=
0
Simplify
10
−
y
y
−
3
=
0
When the quotient of expressions equals
0
, the numerator has to be
0
10
−
y
=
0
Move the constant,
10
, to the right side and change its sign
−
y
=
−
10
Change the signs on both sides of the equation
y
=
10
Check if the solution is in the defined range
y
=
10
,
y
≠
3
,
y
≠
−
2
∴
y
=
10
Answer:
I think "Product" is the answer. Not really sure.
What would your position on the circle (cos q, sin q) be after rotating 72degrees from the point (1,0)?
A=(.97, .25)
B=(.31, .95)
C=(.95, .31)
D=(.25, .97)
Answer:
B=(.31, .95)
Step-by-step explanation:
When your at the point (1,0) you are at 0 degrees (cos 0, sen 0) = (1,0).
So at 72 degrees you moved 72 degrees (cos 72, sin 72) = (.31, .95)
Can you help with number 9,10,12
"Two-thirds of a number increased by seven."
Answer:
(2/3)n + 7
Step-by-step explanation:
Represent the number by n.
Then "two thirds of (that) number" is (2/3)n.
Finally, we add 7:
"Two-thirds of a number increased by seven" is (2/3)n + 7
Help anyone can help me do this question,I will mark brainlest.
Step-by-step explanation:
GIVEN =
d= 49cm
[tex]\pi = \frac{22}{7} [/tex]
To find = Circumference of a circle
SOLUTION =
CIRCUMFERENCE OF THE CIRCLE = πd
[tex] \frac{22}{7} \times 49[/tex]
= 22 × 7
154cm
the circumference of the given circle is 154cm
Answer:
Step-by-step explanation:
5) diameter = d = 49 cm
Circumference = πd
[tex]= \frac{22}{7}*49\\\\= 22 *7\\\\= 154 \ cm[/tex]
6) d = 20 mm
Circumference = π* 20
= 20π mm
pls answer quickly before 3:30
summer school is over, and I'm feeling self-destructive. Take all of my points and have a good night. 1/3
Answer:
Thanks for the points... dude.....
On a map, two mountains are 5 7/8 inches apart. If 1/2 of an inch on the map represents 80 miles, then how many miles apart
Answer:
235 miles
Step-by-step explanation:
80(5 7/8÷ 2)
Function g is the result of these transformations on the parent sine function:
-vertical stretch by a factor of 3
-horizontal shift left pi/2
-units vertical shift down 4 units
Below is the question from the Edmentum test :)
Answer:
g(x) = 3·sin(x + π/2) - 4
Step-by-step explanation:
The given (general form of a) sin function is g(x) = A·sin(x + C) + D
Where;
A = The amplitude (the vertical stretch) = 3
C = The phase shift, left = π/2
D = The vertical shift = 4 units down = -4
Therefore, given that in the parent function, we have f(x) = sin(x), by substituting the values of A, C, and D to complete the equation modeling the function g, we get;
g(x) = 3·sin(x + π/2) - 4
On a baseball field, the pitcher's mound is 60.5 feet from home plate. During practice, a batter hits a ball 226 feet at an angle
of 39° to the right of the pitcher's mound. An outfielder catches the ball and throws it to the pitcher. Approximately how far does
the outfielder throw the ball?
Answer:
183.0 ft
Step-by-step explanation:
ASAP HELP!!!!!!!!!!!!!!!!!!!!!!!!!
Haley fills a balloon with water until it becomes a sphere with a diameter of 5 centimeters. Approximately, how much water does the balloon contain? Use 3.14 for .
A. 26.17 cubic centimeters
B. 65.41 cubic centimeters
C. 523.33 cubic centimeters
D. 104.67 cubic centimeters
Answer:
523.33 cm³
Step-by-step explanation:
Volume of sphere is given by the formula :
V = (4/3)×pi×r³
= (4/3)×3.14×125
= 523.33 cm³
I need help finding the answer
Arrange in descending order 14/13,25/26,8/3
[tex]3-\sqrt{x} 1-16x^{2}[/tex]
Answer:
Step-by-step explanation:
This equation turns out to be a quartic. I'm not sure what should be done with. I can't believe you were asked to find its roots which are unbelievably complex. Here is a graph with the only 2 points that are easily found. If I am not solving what you need, please leave a note.
Alex can cut a cord into 7 pieces in 36 seconds. How long will it take him to cut the cord into 12 pieces?
Answer:
Step-by-step explanation:
I think you mean 35 seconds because if it was 36 then the answer would be too long so assuming it is 35 seconds the answer is 1 minute or 60 seconds
What type of number is 37 + 1?
Choose all answers that apply:
Whole number
Integer
Rational
Irrational
help
Answer:
Irrational
Step-by-step explanation:
The constant [tex]\pi[/tex], or "pi", is an irrational mathematic constant that corresponds to a non-terminating (never-ending decimal). Because there are an infinite number of digits in pi, pi cannot be expressed as a fraction and therefore is irrational.
Multiplying or adding a rational number does not make pi rational, and therefore the desired answer is (D) Irrational.
8 to the power of 6 divided by 8 to the power of 2
PLZ HELP ASAP WILL MARK BRAINLIEST
Answer:
4096
Step-by-step explanation:
8^6÷8^2
First step is to solve the exponents
8 to the power of 6 is 262144
8 to the power of 2 is 64
Then divide 262144 by 64 : 4096
Answer:
it is a law of axponent that is a to the power m divided by a to the power n = a to the power m-n
so 8 to the power 6-2
= 8 to the power 4
that will be 4,096
Write the equation of the function
PROBLEM
9a
The breadth of a rectangle is 4 units less than its length. If the perimeter of the rectangle is
20 units, write a pair of linear equations to model the above situation, assuming the length to be l units
and the breadth to be b units.
Equation 1 :
Equation 2 :
Here, we are to find the length and the , breadth of the rectangle
The length of the rectangle = 7 units and Breadth of the rectangle = 3 units
Let
length = l units
Breadth = b units
Perimeter of the rectangle = 20 units
length is the distance measured along the longest dimension of an object
width is the wideness of an object
perimeter refers to the total measurements of an objects
The breadth of a rectangle is 4 units less than its length
If,
Length = l
Then,
b = l - 4
Perimeter of a rectangle = 2(length + breadth)
20 = 2{l + (l - 4)
20 = 2(l + l - 4)
20 = 2(2l - 4)
20 = 4l - 8
20 + 8 = 4l
28 = 4l
l = 28/4
l = 7
b = l - 4
b = 7 - 4
b = 3 units
Read more:
https://brainly.com/question/24371440
Someone help me out please
Answer:
142.5
Step-by-step explanation:
π×11²×135/360
= 363π/8
= 142.5 (rounded to the nearest tenth)
Answered by GAUTHMATH
BRAINLIEST graphing question
Answer:
Step-by-step explanation:
how many 5 cents can u get from $1.25?
Answer:
25
Step-by-step explanation:
5 cents = 0.05
1.25 / 0.05 = 25
let me know if i'm wrong
Answer:
25
Step-by-step explanation:
$1.25=125cents
125/5 = 25
Using the intercept method, what are the two points to plot when graphing the line x + 3y = 6?
Answer:
The Slope-Intercept Form is essentially a special case of the Point-Slope Form. It's said that two points determine a line. That truism is used to quickly sketch a line if its equation is given in the Two Intercept-Form ax + by = c. We get the y-intercept by setting x = 0 and solving for y: by = c, y = c b .
Step-by-step explanation:
plzzz make brainlist and follow
Answer:
(0,2) and (6,0)
Step-by-step explanation:
y-intercept, x=0
0+3y=6
y=2
x-intercept, y=0
x=6
Find the value of x in the given
right triangle.
10
х
Answer:
44.4
Step-by-step explanation:
Since we have a right triangle, we can use trig functions
sin theta = opp / hyp
sin x = 7/10
Taking the inverse sin of each side
sin^-1 (sin x) = sin^-1(7/10)
x = 44.427
Rounding to the nearest tenth
x = 44.4
Giving brainliest! View image!
Answer:
58%
Step-by-step explanation:
10*5=50
7*3=21
21/50 chance to choose inside small rectangle
21/50*2 = 42/100 chance to choose inside small rectangle
100-42=58%
