Complete Question
The complete question is shown on the first uploaded image
Answer:
The value is [tex]P( 1.39 < z < 1.53 ) = 0.0193[/tex]
Step-by-step explanation:
From the question we are told to obtain the area to the of the z-score 1.39 and to the left of the z-score 1.53, this is mathematically represented as
[tex]P( 1.39 < z < 1.53 ) = P( z < 1.53 ) - P( z < 1.39 )[/tex]
From the z table on the question the area under the normal curve to the left corresponding to 1.53 and 1.39 is
[tex]P( z < 1.53 ) = 0.9370[/tex]
and
[tex]P( z < 1.39 ) = 0.9177[/tex]
So
[tex]P( 1.39 < z < 1.53 ) = 0.9370 - 0.9177[/tex]
=> [tex]P( 1.39 < z < 1.53 ) = 0.0193[/tex]
I NEED HELP ASAP!
You pick a card at random.
2345
What is P(odd or prime)?
Answer:
its odd because the last digit is odd.
Step-by-step explanation:
If a group of distinct objects can be arranged in 120 different ways, how many objects are there?
A. 3
B. 4
C. 5
D. 6
Answer:
B.4
Step-by-step explanation:
hope this helps:)
Answer:
Actually its option C. 5
Step-by-step explanation:
Trust me
n=120
n=5
Con un diámetro de 4x y un ares de 28.26cm cual es el valor de X
Answer:
2826/25
Step-by-step explanation:
28.26×4=========2826/25
556775.55444 subtract 45654.4566
Answer:
511121.09784 <33
Step-by-step explanation:
Calculator :)
556775.55444 - 45654.4566 = 511121.09784
PLEASE HELP! URGENT!
What is the value of x? Enter your answer in the box.
Answer:
x = 61°
Step-by-step explanation:
Property of a triangle,
Sum of interior angles of a triangle = 180°
By applying this property in ΔABC,
m∠A + m∠B + m∠C = 180°
x° + 67° + 52° = 180°
x + 119° = 180°
x = 180 - 119
x = 61°
Therefore, measure of angle A = x = 61°
Helps pls I rlly don’t know ?
Answer:
it's easy u stupido perra
Step-by-step explanation:
Answer:
Your first point should be at (0,-2), because of the y intercept. Then, since the slope is 3, you want to rise 3 and run 1. Go up 3, then to the right 1. That should be your next point. Then do it again, and again, how many ever times you need to.
Franco says that 9 is a prime number. Is Franco correct?
Answer: No he's wrong
Step-by-step explanation:
Write the ratio 5 to 8 as a fraction, decimal,
and percent.
fraction:
decimal:
percent:
Help meeeeee
Answer:
5/8
.625
62.5%
Step-by-step explanation:
PLEASE PLEASE PLEASE HELP FAST!!!!!!!!!! WILL REPORT ANY TROLLS
ABC is an isosceles right triangle in which AB has a slope of -1 and mABC = 90°. ABC is dilated by a scale factor of 1.8 with the origin as the center of dilation, resulting in the image A'B'C'. What is the slope of B'C'?
A. - 1
B. 0
C. 1
D. 1.5
E. 2
Answer:
i think its 1.5 im not sure tho 1.5 sounds the best
Step-by-step explanation:
Answer:
C. 1Step-by-step explanation:
Given
ΔABC withSlope of AB = -1∠ABC = 90°This means that AB⊥BC
The dilation doesn't affect the shape of the triangle, therefore:
A'B' has slope of -1B'C' ⊥ A'B'Perpendicular lines have negative reciprocal slopes. In other words the product of the slopes is - 1.
Let the slope of B'C' is x, then:
-1*x = -1x = 1Correct option is C
Use triangle ABC drawn below & only the sides labeled. Find the side of length AB in terms of side a, side b & angle C only. You will need to use both Soh-Cah-Toa and the Pythagorean Theorem to solve for side AB.
Answer:
[tex]AB = \sqrt{a^2 + b^2-2abCos\ C}[/tex]
Step-by-step explanation:
Given:
The above triangle
Required
Solve for AB in terms of a, b and angle C
Considering right angled triangle BOC where O is the point between b-x and x
From BOC, we have that:
[tex]Sin\ C = \frac{h}{a}[/tex]
Make h the subject:
[tex]h = aSin\ C[/tex]
Also, in BOC (Using Pythagoras)
[tex]a^2 = h^2 + x^2[/tex]
Make [tex]x^2[/tex] the subject
[tex]x^2 = a^2 - h^2[/tex]
Substitute [tex]aSin\ C[/tex] for h
[tex]x^2 = a^2 - h^2[/tex] becomes
[tex]x^2 = a^2 - (aSin\ C)^2[/tex]
[tex]x^2 = a^2 - a^2Sin^2\ C[/tex]
Factorize
[tex]x^2 = a^2 (1 - Sin^2\ C)[/tex]
In trigonometry:
[tex]Cos^2C = 1-Sin^2C[/tex]
So, we have that:
[tex]x^2 = a^2 Cos^2\ C[/tex]
Take square roots of both sides
[tex]x= aCos\ C[/tex]
In triangle BOA, applying Pythagoras theorem, we have that:
[tex]AB^2 = h^2 + (b-x)^2[/tex]
Open bracket
[tex]AB^2 = h^2 + b^2-2bx+x^2[/tex]
Substitute [tex]x= aCos\ C[/tex] and [tex]h = aSin\ C[/tex] in [tex]AB^2 = h^2 + b^2-2bx+x^2[/tex]
[tex]AB^2 = h^2 + b^2-2bx+x^2[/tex]
[tex]AB^2 = (aSin\ C)^2 + b^2-2b(aCos\ C)+(aCos\ C)^2[/tex]
Open Bracket
[tex]AB^2 = a^2Sin^2\ C + b^2-2abCos\ C+a^2Cos^2\ C[/tex]
Reorder
[tex]AB^2 = a^2Sin^2\ C +a^2Cos^2\ C + b^2-2abCos\ C[/tex]
Factorize:
[tex]AB^2 = a^2(Sin^2\ C +Cos^2\ C) + b^2-2abCos\ C[/tex]
In trigonometry:
[tex]Sin^2C + Cos^2 = 1[/tex]
So, we have that:
[tex]AB^2 = a^2 * 1 + b^2-2abCos\ C[/tex]
[tex]AB^2 = a^2 + b^2-2abCos\ C[/tex]
Take square roots of both sides
[tex]AB = \sqrt{a^2 + b^2-2abCos\ C}[/tex]
The area of this trapezium is 180cm?
Work out X.
9cm
13cm
12cm
The table shows three transactions and the resulting account balance in a bank account, except some numbers are missing. Fill in the missing numbers.
Answer: A
Step-by-step explanation: Pic is attached. Hope this helps.
Please help me it’s due today please help me please please people help me please please
Answer:
a) 0≠ -10
b) x= -3
c)y= 0
Step-by-step explanation:
a) 3-4x=-7-4x
[tex]3-4x=-7-4x\\Adding \ 4x \ on \ both \ sides\\3-4x+4x=-7-4x+4x\\3-0=-7\\Adding \ -3\\3-0-3=-7-3\\0\neq -10[/tex]
So, this equation has no solution as both sides are not equal.
b) [tex]15-2x=-7x[/tex]
Solving:
[tex]15-2x=-7x\\Adding \ 2x \ on \ both \ sides\\15-2x+2x=-7x+2x\\15=-5x\\Divide \ both \ sides \ by -5\\x=-3[/tex]
So, this equation has one solution
c) 7(y-3)=6y-21
Solving:
[tex]7(y-3)=6y-21\\7y-21=6y-21\\Adding \ -6y \ on \ both \ sides\\7y-21-6y=6y-21-6y\\y=-21+21\\y=0[/tex]
So, this equation has one solution.
1. Write equation with no solution. 3-4x=-7-4x (check solution of a)
2. Write equation with one solution. 7(y-3)=6y-21 (check solution of c)
3. Write equation with infinite solution. 2x + 3 = x + x + 3
solving:
2x+3=2x+3
2x-2x+3=3
3=3
When both sides are equal, the equation has infinite solutions.
PLS HELP DUE BY TMRW
10. A garden has an area of 400 m².
The garden is divided into 16 congruent square plots.
What is the side length of each plot?
Answer:
I think it is five meters
Why is 1/2 and 1/3 similar? Thank you!
WHO KNOWS THIS QUESTION
Answer:
A
Step-by-step explanation:
Hope This Helps
Lily has 2 rows of 3 model dolls on each of her 3 shelves. How many dolls does she have in all?
Answer:
18
Step-by-step explanation:
A baseball bat cost $30 each from a manufacturer. If a store purchases more than 10 bats, the store receives a 15% discount on the total order. A store ordered 24 bats. What was the total amount of the order before sales tax?
Answer:
$612 was the total amount of the order before sales tax.
Step-by-step explanation:
30 × 24
720
$720 is the full order without the discount being applied
24 is more than 10 bats so the discount will be applied
Convert the percentage into a decimal (move the decimal place two places to the left)
(30 × 24) × (.15)
720 × .15
108
$108 is the discount off the full order of 24 bats
720 - 108
612
$612 is the full order, including the discount
To obtain the graph of y = (x - 8)2, shift the graph of y = x2 units.
Answer: shift it to the right, 8 units
Step-by-step explanation:
Just did the question aswell
To obtain the graph of y = (x - 8)^2, shift the graph of y = x^2 8 units to the right.
How to work with shifts?We define a horizontal shift of N units for a function f(x) as:
g(x) = f(x + N)
If N is positive, the shift is to the left.If N is negative, the shift is to the right.In this case we have the functions:
g(x) = (x - 8)^2
f(x) = x^2
Comparing these, we can see that:
g(x) = f(x -8)
Meaning that g(x) is a shift of 8 units to the right of y = x^2
Then the complete statement would be:
"To obtain the graph of y = (x - 8)^2, shift the graph of y = x^2 8 units to the right."
If you want to learn more about translations, you can read:
https://brainly.com/question/17485121
A go-kart's gas tank holds 6 gallons of gasoline which will last 228 miles. How many miles can the go kart travel on 1 gallon of gasoline?
Answer:
1 mile of gas will go 38 miles.
Step-by-step explanation:
If 6 gallons goes 228 miles, how many does 1 gallon go? You would have to divide 228 by 6 in order to find how many miles are in one gallon.
OR, if you prefer algebra:
228 miles/ 6 gallon = (x) miles/ 1 gallon
Which would be 228/6 = x/1
helpe helpe help help help help help help
Answer:
B
Step-by-step explanation: Please mark Brainiest if I'm right.
Answer:C
Step-by-step explanation:
A penguin randomly sends three penguins out of his army of 20 penguins on a secret mission. What is the probability that a penguin named Bella will be chosen?
Answer:
1 out of 17
Step-by-step explanation:
Nikki used the calculations shown to determine whether a carton of 12 eggs or a carton of 18 eggs was the better buy. What was her first error
Answer:
She should have divided the cost of the carton by the number of eggs to find the price per egg.
Step-by-step explanation:
Find the exact value of sin A in simplest radical form.
Answer:
[tex] \sin A= \frac {1} {\sqrt {82}}[/tex]
Step-by-step explanation:
[tex]\sin A= \frac {BC} {BA} \\\\
\sin A= \frac {1} {\sqrt {82}} \\\\[/tex]
The exact value of sin A in simplest radical form is 1 /√82.
What is sine?In trigonometry, the sine function can be defined as the ratio of the length of the opposite side to that of the hypotenuse in a right-angled triangle.
Now from the given triangle we have,
Hypotenuse, AB = √82
Perpendicular, BC = 1
Base, AC = 9
Since, sine function is the ratio of the length of the opposite side to that of the hypotenuse.
Thus, Sin A = Perpendicular / Hypotenuse
⇒ Sin A = 1 /√82
which is the required the exact value of sin A in simplest radical form.
Thus, the exact value of sin A in simplest radical form is 1 /√82
To learn more about sine function :
https://brainly.com/question/1685727
#SPJ2
Use the graph at the right. If the
y-intercept increases by 2 and
the slope remains the same,
what will the x-intercept be?
F. –3
H. 1
G. –2
J. 4
: What is 40% of 200 Using table
Answer:
80
Step-by-step explanation:
40% of 200=80
Answer:
80
Step-by-step explanation:
40% of 200
40/100×200
80
Answer is 80
Which of the following sets of numbers could represent the three sides of a triangle?
O {11, 17, 26}
O {8,10,19}
O {13, 22, 37}
O {8, 11, 20}
Answer:
it could be all of them
Step-by-step explanation:
Because all of them have 3 measures of length
I need someone to explain me quickly.
If triangle KLM is congruent to NOP,find the perimeter.
Answer:
Finding x FIRST:
2x-9 = x+5
1x-9 = 5
1x = 14
x = 14
Perimeter = Add all sides
Perimeter of KLM = 15+(2x-9)+8
= 15+(2(14)-9)+8
= 15+(28-9)+8
= 15+19+8
= 42 units
(4,-6), y=-3 over 4x+1
Answer:
x= -3
4((4,−6)y−1)
Step-by-step explanation:
hope this helps :))
Somebody plz help with this asap
Answer:
i wish i could help you
Step-by-step explanation: