Answer:
A
Step-by-step explanation:
To calculate this, the first thing we need to do is to calculate the z-score
Mathematically,
z-score =( x - mean )/SD
according to the question, X = 55 inches, mean = 57 inches and SD = 4.6 inches
we plug these values into the equation
z-score =( 55-57)/4.6 = -2/4.6 = -0.4348
The required probability we are trying to calculate is;
P( z < -0.4348) or simply P(x<55)
To calculate this probability we use the standard score table
From the standard score table,
P( z < -0.4348) = 0.33186
In percentage this is 33.186%
To the nearest percentage, this is 33%
whats 2.638 rounded to the nearest hundredth?
Answer:
2.64
Step-by-step explanation:
The 8 in the thousandths place can round up to .64
Find the circumference of a circle whose area is 24 ft2
Answer: [tex]17.33ft[/tex]
Step-by-step explanation:
We need to go from area to radius to circumference.
Formula for the area:
[tex]A=\pi r^2[/tex]
Solve for r;
Divide by pi
[tex]r^2=\frac{A}{\pi}[/tex]
Extract the square root.
[tex]r=\sqrt{\frac{A}{\pi} }[/tex]
Plug in the value of the area.
[tex]r=\sqrt{\frac{24ft^2}{3.14} } \\r=2.76ft[/tex]
Now that you've found the radius, use the circumference formula to calculate it.
[tex]C=2\pi r\\C=2(3.14)(2.76ft)\\C=17.33ft[/tex]
What is the y-intercept of the quadratic function f(x) = (x-8)(x+3)
Answer:
-24
Step-by-step explanation:
To find the y intercept, plug x in as 0.
Answer:
-24
Step-by-step explanation:
Y intercept is where graph cuts the y axis and it satisfies x=0
So put x=0 in your equation
F(0)= -8 x 3
F(0)= -24
Therefore y-intercept= -24
Which problem is being modeled on the number line?
Answer:
Step-by-step explanation:
When a cycle is sold allowing 10% discount on its marked
price a seller gains 5% and allowing 5% discount the profit is
Rs 351. Find the cost price of the cycle. (Ans: Rs. 3240)
The cost price of the cycle is Rs.3240
Represent the cost price of the cycle with x and the selling price with y
A gain of 5% when the marked price is at a discount of 10% implies that:
[tex]5\%=\frac{(1 - 10\%)y-x}{x}[/tex]
Express 10% as decimal
[tex]5\%=\frac{(1 - 0.10)y-x}{x}[/tex]
[tex]5\%=\frac{0.90y-x}{x}[/tex]
Express 5% as decimal
[tex]0.05=\frac{0.90y-x}{x}[/tex]
Cross multiply
[tex]0.05x=0.90y-x[/tex]
Collect like terms
[tex]x + 0.05x=0.90y\\[/tex]
This gives
[tex]1.05x=0.90y[/tex]
Make y the subject of the formula
[tex]y = \frac{1.05x}{0.90}[/tex]
Also, when the discount is 5% and the profit is 351, we have:
[tex]351=(1 - 5\%)y -x[/tex]
Express 5% as decimal
[tex]351=(1 - 0.05)y -x[/tex]
This gives
[tex]351=0.95y -x[/tex]
Make y the subject
[tex]0.95y = 351 + x[/tex]
Substitute [tex]y = \frac{1.05x}{0.90}[/tex]
[tex]0.95 \times \frac{1.05x}{0.90} = 351 + x[/tex]
[tex]\frac{0.9975x}{0.90} = 351 + x[/tex]
Subtract x from both sides
[tex]\frac{0.9975x}{0.90} -x= 351[/tex]
Take LCM
[tex]\frac{0.9975x - 0.9x}{0.90}= 351[/tex]
[tex]\frac{0.0975x}{0.90}= 351[/tex]
Multiply both sides by 0.90
[tex]0.0975x= 315.9[/tex]
Divide both sides by 0.0975
[tex]x= 3240[/tex]
Hence, the cost price of the cycle is Rs.3240
Read more about discounts and price at:
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A submarine at a depth of 675 feet below the surface rose to 1/3 this depth. Which of the following represents the new depth of the submarine below the surface?
Answer:
225
Step-by-step explanation:
Take 675/3 to find one third of its current depth. That gives you your answer. Does that make sense?
square root of 52 to the nearest 100th
Answer:
7.211
Step-by-step explanation:
A house is valued at 213,000.After several years,the value increased by 8%.How much did the house value increase in dollars?.What is the current value of the house?
Answer:
The house value increase by $17,040 in dollar terms
The current value of the house $ 230,040
Step-by-step explanation:
The increase in value of the house can be determined as the difference between the value of the house now after 8% increase in value and the earlier value of $213,000
new value=earlier value *(1+% increase in value)
% increase in value is 8%
new value=$213,000*(1+8%)
=$213,000*1.08=$230,040.00
increase in value= $230,040-$213,000=$17,040
The increase in value of the house of 8% translated into a dollar value of $17,040
Find the greatest common factor.
бах2 + бах + ба
Answer:
6a
Step-by-step explanation:
The GCF (Greatest Common Factor) is a number/variable that you can take out of all of the terms in the expression.
In this case, each term in this expression has a 6, and an a, but not all have an x, so we only take out:
6a
By taking 6a, you get:
6a([tex]x^2[/tex] + x + 1)
Plz, help me plz!!!!!!!!!!!!! will mark brainliest!!!!
The scatter plot shows the total number of songs downloaded on a popular music service.
image below
Answer:
Its B. y-5x+5
Step-by-step explanation:
Use the slope formula
The equation of the linear model is y = 5x + 5. The correct answer is option B.
What is the equation?The equation is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are equal.
We can find the equation of the linear model passing through two points using the slope-intercept form of a line:
y = mx + b
where m is the slope of the line and b is the y-intercept.
First, we need to find the slope of the line:
m = (y₂ - y₁) / (x₂ - x₁)
Let (0, 5) be the first point, and (3, 20) be the second point:
m = (20 - 5) / (3 - 0) = 15 / 3 = 5
Now that we know the slope, we can plug in one of the points and solve for the y-intercept:
y = mx + b
5 = 5(0) + b
b = 5
Hence, the equation of the linear model is:
y = 5x + 5
Learn more about the equation here:
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i really need help guys can some one plz help me it's for 10 points
Answer:
[tex]\sqrt{8}----- 2units,2units[/tex]
[tex]\sqrt{7} ------\sqrt{5}units,\sqrt{2}units[/tex]
[tex]\sqrt{5}-------1unit,2units[/tex]
[tex]3------2units, \sqrt{5}units[/tex]
Step-by-step explanation:
Use pythagorean's theorem to solve each pair individually.
The instructions say that you have the two sides (a and b) and you have to match it with their hypothenuse.
[tex]Formula: c^2=a^2+b^2[/tex]
1. [tex]a=\sqrt{5}, b=\sqrt{2}[/tex]
Plug this into the formula.
[tex]c=\sqrt{(\sqrt{5} )^2+(\sqrt{2})^2 }[/tex]
The square here eliminates the roots.
[tex]c=\sqrt{5+2}\\ c=\sqrt{7}[/tex]
2. [tex]a=\sqrt{3}, b=4[/tex]
[tex]c=\sqrt{(\sqrt{3} )^2+(4)^2}\\ c=\sqrt{3+16}\\ c=\sqrt{19}[/tex]
3. [tex]a=2, b=\sqrt{5}[/tex]
[tex]c=\sqrt{(2)^2+(\sqrt{5})^2 }\\ c=\sqrt{4+5}\\ c=\sqrt{9}\\ c=3[/tex]
4. [tex]a=2, b=2[/tex]
[tex]c=\sqrt{(2)^2+(2)^2}\\ c=\sqrt{4+4}\\ c=\sqrt{8}[/tex]
5. [tex]a=1, b=2[/tex]
[tex]c=\sqrt{(1)^2+(2)^2}\\ c=\sqrt{1+4}\\ c=\sqrt{5}[/tex]
Find the greatest common factor of 24, 40 and 60
Please answer asap ty!!
Answer:
4
Step-by-step explanation:
Answer:
GCF=4
Step-by-step explanation:
It's 4
24/4=6
40/4=10
60/4=15
You can't go any higher because there is no GCF of 6, 10, and 15.
find the variable: n/14=3
Answer:
n=42
Step-by-step explanation:
Rhombus A B C D is shown. The length of A B is 9 s + 29 and the length of opposite side D C is 10 s minus 16. What is the value of s and the length of side BC if ABCD is a rhombus? S = AB = units
Answer:
s=45 UnitsLength of side BC=434 UnitsStep-by-step explanation:
Given a rhombus ABCD
|AB|=|DC| (Opposite sides of a rhombus are equal)
|AB|=9s+29
|DC|=10s-16
Therefore:
9s+29=10s-16
Collect like terms
10s-9s=29+16
s=45 UnitsRecall: |AB|=9s+29
|AB|=9(45)+29=405+29=434 Units
Since all the sides of a rhombus are congruent
AB=AC=BD=CD
Therefore:
|BC|=434 Units
Therefore, the length of side BC=434 UnitsAnswer:
s=45
ab=434
Step-by-step explanation:
These two I don’t know
Answer:
In this subtraction, PR5T and 47Y6 represent 4-digit numbers. What number does PR5T represent?
PR5T - 47Y6 = 1998
Step-by-step explanation:
Reid has a bag that contains fruit. The bag contains 16 pineapple 17 pomegranates and 12 melons. what is the probability pulling pomegranate out of the bag?
Answer:
17/45
Step-by-step explanation:
Answer:
is your brainly working?
Step-by-step explanation:
What if the slope of the line ?
Answer:
The slope of the line is 1
Step-by-step explanation:
To figure out the slope, you just have to do rise over one, if the line is going up from left to right then the slope is positive, which is the case shown
what is the solution of this equqtion? 1w= -17
Answer:
-17
Step-by-step explanation:
1w= -17
(1)(-17)=
-17
Answer:
-17
Step-by-step explanation:
in this situations, we normally divide both sides by the number next to the unknown.
1w is the same as saying w
so,
w = -17
Will give brainliest! I only need e f and g done!!!!
Answer:
E) the new price is going to be $3.92
Work: 3.50 × 12 / 100 = 0.42
3.50 + 0.42 = 3.92
F) Dont understand what this one is asking
G) You would save 1.03$ with the 10% off.
Work: 10.3 x 10 / 100
103 / 100
$1.03
hope this helps
Please help it’s urgent
Answer:
sin theta = opp/ hypotenuse
Step-by-step explanation:
sin theta = opp/ hypotenuse
cos theta = adj/ hypotenuse
tan theta = opp/ adj
In this case we know the opposite and the hypotenuse
find the area of the following trapezoid
Answer:
12
Step-by-step explanation:
Answer:
82 cm is the area of trapezoid
solve for x using the master product.
2x^2 + 7x – 9 = 0
Answer:
x = - 4.5, and x = 1
Step-by-step explanation:
~ Let us solve for x through factorization, but first change the equation to an expression for the simplicity ~
1. First break this expression into groups ⇒ ( 2x^2 - 2x ) + ( 9x - 9 )
2. Now factor 2x from 2x^2 - 2x ⇒ 2x ( x - 1 )
3. Now factor 9 from 9x - 9 ⇒ 9 ( x - 1 )
3. Combine these factored expressions ⇒ 2x ( x - 1 ) + 9 ( x - 1 )
4. Factor out common term x - 1 ⇒ ( 2x + 9 )( x - 1 )
5. Now add 0 to this expression as provided in the start: ( 2x + 9 )( x - 1 ) = 0
6. And now we recieve two answers, calculated through zero product property ⇒ 2x + 9 = 0 and x - 1 = 0, ⇒ 2x = - 9 and x = 1 ⇒
x = - 4.5, and x = 1
The solution of the given expression would be as x = - 4.5, and x = 1.
What is an expression?Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
First we have to break this expression into groups
[tex]( 2x^2 - 2x ) + ( 9x - 9 )[/tex]
Now factor 2x
2x ( x - 1 )
Now factor 9 from 9x
9 ( x - 1 )
Combine these factored expressions as;
2x ( x - 1 ) + 9 ( x - 1 )
Then Factor out common term;
( 2x + 9 )( x - 1 )
Then add 0 to this expression as provided in the start;
( 2x + 9 )( x - 1 ) = 0
By zero product property
2x + 9 = 0 and x - 1 = 0,
⇒ 2x = - 9 and x = 1
x = - 4.5, and x = 1
The solution of the given expression would be as x = - 4.5, and x = 1.
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Please answer ASAP In need of help
Answer:
5/7
Step-by-step explanation:
Billy experienced a rate of catfish to toral fish of 10/14. This is 5/7. So if this rate continues, he could expect the probability of catching a catfish to be : 5/7
Find the equation of the line!
help
Answer:
[tex]y=2x+5[/tex]
Step-by-step explanation:
[tex](5,0)[/tex]
Since the y-axis is cross on 5, that's the slope.
y=mx+5
To find x, let's use the formula;
[tex]m=\frac{rise}{run}[/tex]
[tex]m=\frac{6}{3}=2[/tex]
A rectangular prism has a length of 12in, a height of 5in, and a width of 8in. What is its volume, in cubic in?
Answer: The volume is 480 in^3
Step-by-step explanation:
v= lwh
v= 12 * 5 * 8
v= 480 in^3
Answer:
Volume of the rectangular prism = [tex]480in.^{3}[/tex]
Step-by-step explanation:
Formula for the volume of a rectangular prism= Ah, where A= base area
& h= height
Base area(A)= Length×Width
= 12in.×8in.
= [tex]96in.^{2}[/tex]
Since height=5in.,
Volume= [tex]96in.^{2}[/tex]×5in.
= [tex]480in.^{3}[/tex]
Hope this helps!!!
Pls mark as brainliest
Rafael has $230 in his savings account. He used 20% of his money to buy a video game. what was the cost of the video game?
Answer:
46
Step-by-step explanation:
turn the percentage into a fraction
so 20% is equal to 2/10.
230 is the whole number so multiply is by the numerator which is 2
230 x 2=460
and divide it by the denominator which is 10
460/10=46
What is the area of the trapezoid?
8 m
110 m
12 m
80 m2
96 m2
100 m2
120 m2
Answer:
I think the answer is 96
Step-by-step explanation:
I think that u have to multiply eight times ten. The you add twelve and that is how I got the answer of 96. I am pretty sure that it is correct but just i case I am sorry if u don't get it right.
Answer:
100
Step-by-step explanation:
the formula is b1+b2 divided by 2 times the height. 8+12=20 divided by 2 is 10 times 10 is 100.
3. Which of the following represents a function?
O (5, 1), (5,2), (5, 3), (5, 4)
O (-1,2), (-2, 1), (-1, -2), (-2,-1)
O (3, 4), (-3, 2), (3, 8), (5,5)
O (2, 3), (4, 3), (-2, -3), (-4,-3)
Answer: D is a function.
Step-by-step explanation:
A function need to have exactly one output to each input.
Answer: D. (2, 3), (4, 3), (-2, -3), (-4,-3)
Step-by-step explanation: This represents a function because they're the opposing of each other. Hope this helps happy holidays! :)
Marsha has two cubes with one number on each side,each cube is numbered from 1 to 6 marsha rolls both number cubes at the same time. What is the probability that the total of numbers facing up will equal 12
Answer:
1/36
Step-by-step explanation:
If the cubes are numbered from 1 to 6 there is just one way that the sum of both of them equals 12 and this is when Marsha gets 6 in the first cube and 6 in the other.
Thus, to know what the probability that the total of numbers facing up will equal 12 we would have to calculate the probability that the first cube is 6 AND the second one is also 6.
The probability that the first cube has the number 6 is: 1/6
The probability that the second cube has the number 6 is: 1/6
We need to multiply this numbers because they both have to be 6 (rule of multiplication),
so: [tex]\frac{1}{6}(\frac{1}{6} )= \frac{1}{36}[/tex]
Thus, the probability that the sum of them equals 12 is 1/36
Please answer i'll give brainlist
AD and BE are diameters. What is the measure of arc EDC
A. 125 degrees
B. 145 degrees
C. 235 degrees
D. 215 degrees
Answer:
a
Step-by-step explanation:
