Using the z-distribution, it is found that the z-value is of z = -2.29.
How to find the critical value of Z?For a confidence level of [tex]\alpha[/tex], it is Z with a p-value of [tex]\frac{1 + \alpha}{2}[/tex].
We have a 97.8% confidence level, hence[tex]\alpha = 0.978[/tex], z is the value of Z that has a p-value of [tex]\frac{1+0.978}{2} = 0.989[/tex], so the critical value is z = -2.29.
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In a class of 36 students, 29 do mathematics and 20 do chemistry. If 5 students do neither, how many students do chemistry but not mathematics?
Answer:
2 students do Chemistry, but not Mathematics
Step-by-step explanation:
2 students do Chemistry, but not Mathematics
*View attached table*
Hope this helps!
What is the angle of rotation for point G mapped to point H?
90° clockwise
72° clockwise
72° counterclockwise
90° counterclockwise
The rotation of point G to point H is an illustration of a circular movement
The rotation that maps point G to point H is 72 degrees clockwise
How to determine the rotation rule?From the figure, we have the following parameters:
Number of sections (n) = 5
Angle at the center = 360
The angle of rotation is then calculated as:
Rotation = 360/5
Evaluate
Rotation = 72
Point H is to the left of point G.
This represents a clockwise direction
Hence, the rotation that maps point G to point H is 72 degrees clockwise
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Answer:
72° clockwise
Step-by-step explanation:
Which is the solution to the inequality?
y + 15 less-than 3
Hey there!
"less than" is "<"
y+15<3
Solve it:
y<3-15
y<-12
Hope everything is clear.
Let me know if you have any questions!
Always remember: Knowledge is power!
Answer:
y < -12
Step-by-step explanation:
Edge
The depth in feet, D. of a scuba diver can be modeled by the function D(x) = -x + 12x + 4. where x is the number of seconds spent diving.
What is the number of seconds spent diving when the scuba diver reaches their maximum depth?
Respond in the space provided
Considering the vertex of the quadratic equation, it is found that the scuba diver reaches maximum depth after 6 seconds.
What is the vertex of a quadratic equation?A quadratic equation is modeled by:
[tex]y = ax^2 + bx + c[/tex]
The vertex is given by:
[tex](x_v, y_v)[/tex]
In which:
[tex]x_v = -\frac{b}{2a}[/tex]
[tex]y_v = -\frac{b^2 - 4ac}{4a}[/tex]
Considering the coefficient a, we have that:
If a < 0, the vertex is a maximum point.If a > 0, the vertex is a minimum point.In this problem, the depth is given by:
D(x) = -x² + 12x + 4.
Which means that the coefficients are a = -1, b = 12, c = 4, hence:
[tex]x_v = -\frac{b}{2a} = -\frac{12}{-2} = 6[/tex]
The scuba diver reaches maximum depth after 6 seconds.
More can be learned about the vertex of a quadratic equation https://brainly.com/question/24737967
Find the sum of each of the following series:
(a) 2 + 7 + 12 + ...... +92
where u(n) is the nth term (any term).
u⁰ is out first term (2)
d is the common difference (5)
u(n)=u⁰+nd92 =2 +5n5n =90n =18This sequence admits 19 terms since we start counting from 0 till 18.SummationS= number of terms/2 ×(u¹⁸+u⁰)[tex]s = \frac{19}{2} \times (92 + 2)[/tex][tex]s = 9.5(94)[/tex]
[tex]s = 893[/tex]
That's ur answer :)64, –48, 36, –27, ... which formula can be used to describe the sequence? f(x 1) = three-fourthsf(x) f(x 1) = negative three-fourthsf(x) f(x) = three-fourthsf(x 1) f(x) = negative three-fourthsf(x 1)
The formula which can be used to describe the sequence of provided series is f(x+1) =-(3/4) × f(x).
What is geometric sequence?Geometric sequence is the sequence in which the next term is obtained by multiplying the previous term with the same number for the whole series.
The relation formula can be used to describe such sequence are,
[tex]f(x+1)=r\times f(x)[/tex]
Here, r is the common ratio.
The given sequence is,
[tex]64, -48, 36, -27, ...[/tex]
In the above sequence, the next term has opposite sign to its previous term. The common ratio between the two terms is,
[tex]r=\dfrac{-48}{64}=-\dfrac{3}{4}\\r=\dfrac{36}{-48}=-\dfrac{3}{4}\\r=\dfrac{-27}{36}=-\dfrac{3}{4}[/tex]
The common ratio of the sequence is -3/4. Put this value in the above formula as,
[tex]f(x+1)=-\dfrac{3}{4}\times f(x)[/tex]
Hence, the formula which can be used to describe the sequence of provided series is f(x+1) =-(3/4) × f(x).
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Answer:
B
Step-by-step explanation:
edge
A cyclist bikes a certain distance in 25 minutes. how long would it take a pedestrian to travel the same distance if he travels 2 2/5 times slower than the cyclist?answer = ___________ minutes and ___________ hours.
Using proportions, it is found that it would take 1 hour for the pedestrian to travel the same distance.
What is a proportion?A proportion is a fraction of a total amount.
In this problem, the cyclist takes 25 minutes, while the pedestrian's time is [tex]2\frac{2}{5} = \frac{12}{5}[/tex] slower(greater), hence his time is given by:
[tex]t = \frac{12}{5} \times 25 = 12 \times 5 = 60[/tex]
It would take 1 hour for the pedestrian to travel the same distance.
More can be learned about proportions at https://brainly.com/question/24372153
The measures of the angles of a triangle are shown in the figure below. Solve for x.
Answer: x = 54°
Step-by-step explanation:
The sum of these three inter angles is equal to 180°.
36° + 90° + x° = 180
126 + x = 180
x = 54°
Step-by-step explanation:
36° +90°+ x = 180° ( sum of all angle of triangle is 180°)
126° + x = 180°
x = 180° - 126°
x = 54°
everyone please answer one of these my birthday tuesday but i might be in trouble if i fail this :(
Answer:
11. b
10.d
9.c
7.b
1.d
the rest I can't see clearly
please give brainiest
Step-by-step explanation:
11.
3/x-4=7/x
*cross multiply
3x=7 (x-4)
3x=7x-28
28=7x-3x
28=4x
x=7
10.
SOHCAHTOA
Cos☆=11/14
cos^-1 (11/14)
☆=38.21 degrees
9.
MLN CONGRUENT TO WBN
ML/WB=LN/BN=MN/WN
LN/BN=10/6
ML/WB
24/x=10/6
24x6=10x
144÷10
=14.4
6^2+14.4^2
=243.36
squareroot
=15.6
Good evening! Can someone please answer this, ill give you brainliest and your earning 50 points. Would be very appreciated.
Answer:
( 6(x)² + 12(x) - 90 ) ft³
Explanation:
deep end water: 2(x)² + 12(x) + 10shallow end water: 4(x)² - 100addition problem: 2(x)² + 12(x) + 10 + 4(x)² - 100
total volume of water:
2(x)² + 12(x) + 10 + 4(x)² - 1002(x)² + 4(x)² + 12(x) + 10 - 1006(x)² + 12(x) - 90Answer:
a) [tex]\sf total \ volume \ of \ pool= (2x^2+12x+10)+(4x^2-100) \ ft^3[/tex]
b) [tex]\sf total \ volume \ of \ pool =(6x^2+12x-90) \ ft^3[/tex]
Step-by-step explanation:
Given:
volume of water in the deep end: [tex]\sf (2x^2+12x+10) \ ft^3[/tex]volume of water in the shallow end: [tex]\sf (4x^2-100) \ ft^3[/tex]a) Total volume of water = deep end volume + shallow end volume
[tex]\implies \sf total= (2x^2+12x+10)+(4x^2-100)[/tex]
b) Simplify:
[tex]\sf \implies 2x^2+12x+10+4x^2-100[/tex]
Collect like terms:
[tex]\sf \implies 2x^2+4x^2+12x+10-100[/tex]
Combine like terms:
[tex]\sf \implies 6x^2+12x-90[/tex]
In which quadrant does θ lie given that sinθ < 0 and cosθ < 0? Thank You!
Quadrant I
Quadrant II
Quadrant III
Quadrant IV
Answer:
Quadrant III yw :3
Step-by-step explanation:
I’ll give Brainly but can somebody help me with this?
Answer:
give me 2 minutes and I will
A watch company is developing packaging for its new watch. the designer uses hexagons with a base area of 25 in2 and rectangles with a length of 10 in to create a prototype for the new package. what is the volume of the prototype? 150 in3 200 in3 250 in3 300 in3
Answer:
The answer should be C. 250 in^3
Answer:
C. 250 in^3
Step-by-step explanation:
Help me please. Don't mind that I answered it, I put whatever so that I can move on to the next page. Show how you did the work!
Answer:
true false false
Step-by-step explanation:
3,4,5 is a common triangle (proof sqrt(3^2+4^2) = 5)
5,6,7 cant exist sqrt(5^2+6^2) doesnt equal 7
5,5,10 cant exist sqrt(5^2+5^2) doesnt equal 10
M is the midpoint of AB. If the coordinates of A are (-1,5), and the coordinates of M are (3,3), what are the coordinates of B?
I need the answer asap!
Answer:
B = (5, 1).
Step-by-step explanation:
From the formula for the midpoint of a line :-
(-1 + x)/2 , (5 + y)/2 = (6/2, 6/2) where x and y are the coordinates of B.
so (-1 + x)/2 = 6/2
-1 + x = 6
x = 5.
and (5 + y)/2 = 6/2
5 + y = 6
y = 1.
Find the exact volume of the radius is 7 inches and the height is 18 inches.
Answer: 882pi square inches
Step-by-step explanation:
What are the factors of 2x2 3x – 54? Select two options. 2x – 9 2x – 6 2x 6 x – 6 x 6.
The factors of expression [tex]2x^{2} +3x-54[/tex] are (x+6) and (2x-9).
The given expression is: [tex]2x^{2} +3x-54[/tex]
What is a factor?A factor is a number that divides another number leaving no remainder.
We can rewrite the given expression as:
[tex]2x^{2} +12x-9x-54[/tex] (middle term has been splitted)
Take 2 as common from first two terms while take -9 as common from last two terms.
[tex]2x(x+6)-9(x+6)[/tex]
Take (x+6) as common
[tex](x+6) (2x-9)[/tex]
So, we got the factors (x+6) and (2x-9)
Therefore, The factors of expression [tex]2x^{2} +3x-54[/tex] are (x+6) and (2x-9).
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Evaluate the expression for p = 3.
2p =
Answer:
6
Step-by-step explanation:
2 x 3
Which choices are in the solution set of the equation below? Check all that
apply.
4x = 30
A. 8
B. 7.5
C. 8.5
D. 7
E.6.5
what is x (its a parralleligram)
Check the picture below.
PLEASE HELPP LOOK AT PICTURE TO ANSWER QUESTION
Answer:
2
Step-by-step explanation:
3^2 = 9
Determine
the rotation around the origin that was performed to transform the preimage on the left to its image on the right.
Answer:
-90 degrees counter clock wise
Step-by-step explanation:
it goes the opposite of a clock so it would be called -90 degrees counter clockwise, you could also say 270 degrees clockwise if the other isnt an option.
What are the solutions of the equation (x 2)2 – 2(x 2) – 15 = 0? use u substitution to solve. x = –7 and x = 1 x = –5 and x = 3 x = –3 and x = 5 x = –1 and x = 7
The solutions to the equation [tex]\rm (x + 2)^{2} - 2(x + 2) - 15 = 0[/tex] are 3 and -5.
What is the solution to the equation?To solve any equation is to find the solution of the given equation which satisfied the equation.
The given expression is [tex]\rm (x + 2)^{2} - 2(x + 2) - 15 = 0[/tex]
let u = (x +2)
then the equation becomes
[tex]\rm u^{2} - 2u - 15 = 0[/tex]
by factorizing, we get
(u + 3)(u - 5) = 0
u + 3 = 0, u = -3
u - 5 = 0, u = 5
Since, u = x + 2
So, x + 2 = 5, x = 3
x + 2 = -3, x = -5
Therefore, the solutions to the equation are 3 and -5.
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Pease help me
I will give BRAINLY
THANKS FIVE STARS
Answer:
23, 25, 27, 29
Step-by-step explanation:
14*2 = 28, 28-5=23
15*2=30, 30-5=25
16*2=32, 32-4=27
17*2=34, 34-5=29
[tex]14 \times 2 - 5[/tex]
[tex]28 - 5[/tex]
[tex]23[/tex]
[tex]15 \times 2 - 5[/tex]
[tex]30 - 5[/tex]
[tex]25[/tex]
[tex]16 \times 2 - 5[/tex]
[tex]32 - 5[/tex]
[tex]27[/tex]
[tex]17 \times 2 - 5[/tex]
[tex]34 - 5[/tex]
[tex]29[/tex]
We can denote these using the function defined by:f(x)=2x-5The steps to finding y, for each x are done above!!
Carlos has a 12300 millimeters long piece of wook. he wants to cut it into 3 equal lengths. how long will each piece be in meters?
Answer:
4.1 meters each
1000 milileters go into 1 meter
Step-by-step explanation:
Answer:
Step-by-step explanation:
12300/3= 4100 1 meter = 1000 millimeters
4100/1000=4.1 meters
quadrilateral ABCD is a kita with diagonals AC and BD. determine the area of a kita with diagonals BD = 8 units and AC = 12 units
[tex]\mathsf\blue{♧ANSWER♧}[/tex]
[tex] \mathsf \orange{ \frac{x \times y}{2}} [/tex]
[tex] \mathsf \green{ \frac{8 \times 12}{2} }[/tex]
[tex] \mathsf \orange{ \frac{96}{2} }[/tex]
[tex] \mathsf \green{48 \: square \: units}[/tex]
[tex] \huge \tt \color{pink}{A}\color{blue}{n}\color{red}{s}\color{green}{w}\color{grey}{e}\color{purple}{r }[/tex]
[tex]\qquad\qquad\qquad \large\underline{ \boxed{ \sf{✰\: Information }}}[/tex]
★ Given➣A quadrilateral ABCD shape (kite) with diagonals "AC" and "BD"➣ diagonal BD is of 8units ➣ diagonal AC is of 12units✜ Now let's see about ques ✜question is asking about to find area of kite with the above infosoo we know that[tex]{ \boxed{ ✟ \: \underline{ \boxed{ \sf \: Area \: of \: kite = \frac{ d_1 \times d_2}{2} \: or \blue{ \: \frac{1}{2} \times d_1 \times d_2}}}✟ }}[/tex]
[tex]\rule{80mm}{2.5pt}[/tex]
✜ Let's substitute value according to formula ✜[tex] \qquad \rm{➛Area \: of \: kite = \frac{BD×AC}{2} }[/tex]
[tex]\qquad \rm{➛Area \: of \: kite = \frac{8×12}{2} } \\ \qquad \rm{➛Area \: of \: kite = \frac{ \cancel{96}}{ \cancel2} } \\ \qquad \rm{➛Area \: of \: kite = 48 {units}^{2} }[/tex]
[tex]\rule{80mm}{2.5pt}[/tex]
★Hence area of kite with diagonals BD = 8 units and AC = 12 units is
[tex]\qquad\qquad\qquad{ \boxed{↪ \underline{ \boxed{ \sf{\: 48 {units}^{2} \green✓ }}}↩}}[/tex]
[tex]\rule{80mm}{2.5pt}[/tex]
★ More info regarding this topic ★
➣ Quadrilateral:- A polygon with four sides,sum of it's interior angle is of 360⁰➣ Kite is also a quadrilateral because of four sides.Kite is a quadrilateral which is proved Euclidean geometry.[tex]\rule{80mm}{2.5pt}[/tex]
Hope it helps !
What is the result when the number 39 is decreased by 3%?
result = 39 - 39 x 3% = 39 x 0,97 = 37,83
e + 3.1 = 5
this is hard.
AnswerAnswer:E=1.9
Step-by-step explanation:
ssorry bit i conta speak englessh
What are the missing operations?
A. 48 ? (-8) = (-6)
B. (-40) ? 8 =( -5)
C. 12 ? (-2) = 14
D. 18 ? (-12) = 6
E. 18 ? (-20) = -2
F. 22 ? (-0.5) = -11
48 / -8 = -6
-40 / 8 = -5
12 - (-2) = 14
18 - (-12) = 6
18 - (-20) = -2
22 x (-0.5) = 11
work out the total length of the wire two wire shapes make an earring. the shapes are a circle with radius 21mm and a quarter circle 6mm. work out the total length of the wire in the earring. give your answer in the form a pie +b where a and b are integers.
Answer:
45n+12mm
Step-by-step explanation:
I hope this is right if it is right pls mark me as brainliest and learn well
the value of a and b will be 45 and 0 for the given expression.
What is proportionality?the property of having suitable proportions in terms of size, number, degree, harshness, etc.: If a defensive action against an unfair attack results in the destruction that contravenes the proportionality criterion, it may even go far beyond a justifiable defense.
Given, the shapes are a circle with a radius of 21mm and a quarter circle of 6mm.
Since Radius = 21 cm
the radius of the circle/ radius of the quarter circle = 7/2
Total length = Sum of the circumference of both the circle
Since the formula for the circumference of a circle:
C = 2 * pi * radius
Total length = 2* pi* r + 1/4 * (2 * pi * r')
Total length = 2 *pi * 21 + pi * 3
Total length = π(42 + 3)
total length = 45π + 0
therefore, the value of a and b will be 45 and 0 for the given expression.
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