Answer:
0.0903
Step-by-step explanation:
Given that :
The mean = 1450
The standard deviation = 220
sample mean = 1560
[tex]P(X > 1560) = P( Z > \dfrac{x - \mu}{\sigma})[/tex]
[tex]P(X > 1560) = P(Z > \dfrac{1560 - 1450}{220})[/tex]
[tex]P(X > 1560) = P(Z > \dfrac{110}{220})[/tex]
P(X> 1560) = P(Z > 0.5)
P(X> 1560) = 1 - P(Z < 0.5)
From the z tables;
P(X> 1560) = 1 - 0.6915
P(X> 1560) = 0.3085
Let consider the given number of weeks = 52
Mean [tex]\mu_x[/tex] = np = 52 × 0.3085 = 16.042
The standard deviation = [tex]\sqrt {n \time p (1-p)}[/tex]
The standard deviation = [tex]\sqrt {52 \times 0.3085 (1-0.3085)}[/tex]
The standard deviation = 3.3306
Let Y be a random variable that proceeds in a binomial distribution, which denotes the number of weeks in a year that exceeds $1560.
Then;
Pr ( Y > 20) = P( z > 20)
[tex]Pr ( Y > 20) = P(Z > \dfrac{20.5 - 16.042}{3.3306})[/tex]
[tex]Pr ( Y > 20) = P(Z >1 .338)[/tex]
From z tables
P(Y > 20) [tex]\simeq[/tex] 0.0903
Find the surface area of the square pyramid shown below.
9514 1404 393
Answer:
160 units^2
Step-by-step explanation:
Each of the four triangular faces has an area of ...
A = (1/2)bh = (1/2)(8)(6) = 24 . . . square units
The square base has an area of ...
A = s^2 = 8^2 = 64
Then the total surface area is ...
A = base area + 4 · triangle area
A = 64 + 4(24) = 160 . . . square units
Chad bought 1 box of raisins. He gave 1/6 of it to one brother, 1/4 to another brother, and he kept the rest for himself. What fraction did he keep?
Write the answer in the simplest form
Answer:
He kept 7/12 of the box.
Step-by-step explanation:
We add and convert both 1/6 and 1/4 because we cant add fractions with unlike denominators.
1/6 = 2/12 | 1/4 = 3/12
then add.
2/12 + 3/12 = 5/12.
we subtract this from a whole, which is 12/12.
12/12 - 5/12 = 7/12
he keeps 7/12 of the box
hope this helped!
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Answer:
case a) y=1/3x+8
case b) y=-3x+28
Step-by-step explanation:
case a)
parallel lines has the same slope, then, the searched line has the form:
[tex]y=\frac{1}{3} x +b[/tex]
Now, in order to find b, we must use the given point (6,10). By substituying this point into the last equation, one has
[tex]10=\frac{1}{3} 6+b\\10=\frac{6}{3} +b\\10=2+b\\b=10-2\\b=8[/tex]
Then, the line equation is y=1/3x+8
case b)
the slope of a perpendicular line is the "negative reciprocal" of the slope of the original line, that is
[tex]m=-\frac{1}{\frac{1}{3} } \\m=-3[/tex]
Hence, the searched line has the form y=-3x + b. Now, in order to find the y-intercept b, we must use the given point (6,10). Therefore,
[tex]10=-3(6)+b\\10=-18+b\\b=10+18\\b=28[/tex]
Hence, the searced equation is y=-3x+28
A submarine started at the surface of the water and
was moving down at –15 kilometers per
minute
toward the ocean floor. The submarine traveled at
this rate for 52 minutes before coming to rest on the
ocean floor. What is the depth of the ocean floor?
Answer:
The depth of the Ocean Floor is -780 kilometers
Step-by-step explanation:
The answer is -780 because -15 multiplied by 52 equals -780.
I need to find the slope.
Answer:
The slope is 3/2
What is the surface area of a rectangular prism that measures 10 in x 6 in x 4 in?
Answer: 240 in
Step-by-step explanation: 10 x 6 x 4 = 240 in
I hope that helps
Based on the pattern in the table, what is the value of a?
Powers of 2
Value
2 Superscript negative 1
One-half
2 Superscript negative 2
One-fourth
2 Superscript negative 3
one-eighth
2 Superscript negative 4
StartFraction 1 Over 16 EndFraction
2 Superscript negative 5
StartFraction 1 Over 32 EndFraction
2 Superscript negative 6
a
Negative 64
Negative 12
StartFraction 1 Over 16 EndFraction
StartFraction 1 Over 64 EndFraction
Answer:1/64
Step-by-step explanation: I got it right
Based on the pattern in the table, the value of a is StartFraction 1 Over 64 EndFraction.
What are Exponents?Exponents are the method of writing numbers, especially large numbers, in terms of a base and an exponent, which is written as the power of base.
Given is a pattern, which is the powers of 2.
The first term is 2⁻¹ = 1/2
The second term is 2⁻² = 1/ 2² = 1/4
The third term is 2⁻³ = 1 / 2³ = 1/8
The fourth term is 2⁻⁴ = 1 / 2⁴ = 1/16
The fifth term is 2⁻⁵ = 1/ 2⁵ = 1/32
The sixth term is 2⁻⁶ = 1/ 2⁶ = 1/64
So the value of a is 1/64.
Hence the value of a is 1/64.
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Rewrite the function f(x)=2(x-1)^2-1 in the form f(x)=ax^2+bx+c
Answer:
2x^2-4x+1
Step-by-step explanation:
2(x-1)^2-1
2(x^2-2x+1)
2x^2-4x+2-1
2x^2-4x+1
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[tex]f(x) = 2 ({x - 1})^{2} - 1 [/tex]
[tex]f(x) = 2( {x}^{2} - 2x + 1) - 1[/tex]
[tex]f(x) = 2 {x}^{2} - 4x + 2 - 1 [/tex]
[tex]f(x) = 2 {x}^{2} - 4x + 1 [/tex]
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You randomly selected one card from a 52-card desk. Find the probability of selecting a black nine or black three
what is an equation in slope-intercept form of the line that passes through (6,10) and is parallel to the graph of y=1/3x-1 ?
question: what is the relationship between measures of angle 1 and angle 2
pls help need answer fast
Answer:
C.
Step-by-step explanation:
m1 is greater than m2 because the angle is larger
Solve the system using multiplication for the linear combination method
6x-3y=3
-2x+6y=14
Answer:
Step-by-step explanation:
(2,3)
Twenty five more than twice a number is fifty five. What is the number?
25 + 2x = 55
2x = 30
x = 15
The number is 15
Answer:
Step-by-step explanation:
If the number is 15 then twice is 30 then add 25 = 30 + 25 = 55
What is the unit rate if the candy is $7.80 for 2 pounds?
Answer:
= 3.9 candy per pound
Step-by-step explanation:
This is a fraction equal to
7.8 candy ÷ 2 pounds
We want a unit rate where
1 is in the denominator,
so we divide top and bottom by 2
7.8 candy ÷ 2
________
2 pounds ÷ 2
=
3.9 candy
_______
1 pound
=
3.9 candy
_______
pound
= 3.9 candy per pound
An accountant who is currently earning $42,380 annually expects a 6.5% raise. What is the amount of the
expected raise?
Answer:
$2754.70
Step-by-step explanation:
answer pls hurry need this asap
Answer:
y=-6x-8
Step-by-step explanation:
well first of all the line passes through (0,-8) ehich would give you a y-int of -8, to find the slope of y=mx+b you could do rise/run. fi you found a point and counted down to another point it'd be -6, then count the run it'd be 1, -6/1 equals -6
The ______ identity is 1.
Answer:
I believe its ,multiplication
Step-by-step explanation:
because any number you multiply be one is one
mark brainliest if correct please
Answer:
multiplication
Step-by-step explanation:
Cause of Peter griffen
5y+1=31 what does y equal?
Answer:
y=6
Step-by-step explanation:
Who can help me with this for algebra 2
Express the following
ratio in its simplest
terms: 4 weeks 6 days
Answer:
it would be 2/3............
Answer:
=4:6
4
6
=2
3
2:3
Step-by-step explanation:
Hope this helps
Pls mark me the brainliest
Solve the equation using the distributive property and properties of equality.
Negative 5 (a + 3) = negative 55
What is the value of a?
Answer:
6
Step-by-step explanation:
-5(a+3)=-55
-5a-15=-55
+15 +15
-5a=-40
/-5 /-5
a=6
Answer:
A = 8
Step-by-step explanation:
-5(a+3)=-55
-5a-15=-55
-5a=-40
-40/-5=8
a=8
reflection across y= -x
Answer:
option A) is correct.
Step-by-step explanation:
As we know that when we reflect across the line [tex]y=-x[/tex], the x-coordinate and y-coordinate would change places and be negated.
So the formula about the reflection across [tex]y=-x[/tex] will be:
(x, y) ⇒ (-y, -x)
From the graph, the vertices of the triangle are:
Vertex U = (-5, -2)Vertex T = (-3, -3)Vertex V = (-5, -5)As the rule of reflection across [tex]y=-x[/tex] will produce the image with the vertices T', U' and V' which are as follows:
(x, y) ⇒ (-y, -x)
U(-5, -2) ⇒ (-y, -x) = U' (2, 5) T(-3, -3) ⇒ (-y, -x) = T' (3, 3) V(-5, -5) ⇒ (-y, -x) = V' (5, 5)So, the vertices of U', T' and V' will be:
U' (2, 5) T' (3, 3) V' (5, 5)Therefore, option A) is correct.
What is the greatest common factor of 24 and 48?
Answer:
Greatest Common Factor: 24
Step-by-step explanation:
The greatest common factor is found by multiplying all the factors which appear in both lists: So the GCF of 24 (2x2x2x3) and 48 (2x2x2x2x3) is 2x2x2x3 which is 24.
The greatest common factor of 24 and 48 is 24.
Here, we have,
To find the greatest common factor (GCF) of 24 and 48,
we can use the prime factorization method:
Step 1: Find the prime factorization of each number.
Prime factorization of 24:
24 = 2 * 2 * 2 * 3
Prime factorization of 48:
48 = 2 * 2 * 2 * 2 * 3
Step 2: Identify the common prime factors and their lowest exponents.
Common prime factors: 2 * 2 * 2 * 3
Step 3: Multiply the common prime factors with their lowest exponents.
GCF(24, 48) = 2 * 2 * 2 * 3 = 24
So, the greatest common factor of 24 and 48 is 24.
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Use this picture and help please
Answer:
This would be 55 degrees because the sum of angles A, B and C = 180 degrees
While on vacation, Jorge and Jackie traveled to Bryce Canyon National Park in Utah. They were impressed by the different elevations at the viewpoints along the road. The graph describes the elevations for several viewpoints in terms of the time since they entered the park. The graph represents a function E(t). Part A:Describe why the graph represents a function. Part B:Identify the domain in range of the function.
Answer:
timeline
Step-by-step explanation:
the table shows the same time I don't have your phone you u you y you can get a hold of y have a lot to do it you got a
The domain and range provides a definition for a graph
Part A: The graph represents a function because a vertical line drawn from the horizontal crosses the graph only once
Part B. Domain: 0 ≤ t ≤ 30
Range: 7000 < f(t) ≤ 9,300
Reason:
Part A: The reason why the graph represents a function is that a function is a one to one relationship that maps each element of the set known as the domain to exactly one element of the set which is the range of the function
Therefore, a vertical line drawn on the graph of a function crosses the graph only once, such that one input cannot have two outputs
Which gives that the graph is a function, given that all the vertical lines from the horizontal axis crosses the graph f(t) at exactly one point
Part B
Domain:
The domain of a function are the possible input values of the function
In the graph, the possible values of the time, t are; 0 ≤ t ≤ 30
The domain of the function is 0 ≤ t ≤ 30
Range:
The range of a function are the possible output values of the function
The range of the given function f(t) are; from approximately 7,000 feet to approximately 9,000 feet, which gives;
The range of the function: 7000 < f(t) ≤ 9,300
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Write an equation in point-slope form and slope-intercept form for the line.
passes through (6, -6), slope = 5
Answer:
y = 5- 36
Step-by-step explanation:
6 is the x
-6 is the y
y=mx+b
so m times x, m is the slope
5 times 6 is 30
-6=30+b
so -36
y=5x-36
SORRY IF IM WRONG I TRIED
-24 = -8(5x-7) im confused
Answer:
x=2
Step-by-step explanation:
In order to solve the inequality, first simplify it. -8 (5x -7) can be simplified be distributing. Multiply -8 to each term.
-24 = -40x + 56 now you can solve it start by subtracting 56 on both sides
-80 = -40x now divide -40 on both sides
2=x
I hope this helps :)
have a nice day
A car travels 6 meters in 3 seconds.Then it stops for 5 seconds.Then it travels 2 meters in two seconds
PLS ANSWER
Answer:
it would be 8 meters in 10 seconds,Because it travels 6 meters for 3 seconds stops for 5 seconds. So then it would be 6 meters in 8 seconds then it travels 2 meters in two seconds. Which would essentially be 8 meters in 10 seconds.
i need helppp!!
worth 10 points
Answer:
I think that it is 120 but not sure
Step-by-step explanation:
sorry if wrong
Can anyone thats really extremely excellent at math, history and english please help me out with my questions. Truly need help. Please only answer if you know how to. ( Just click on my name and go to my questions) answer.
Answer:
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