In line 3, it will be 7x to the power 2 not 4.
So, the answer will be
[tex]{7x}^{2} + 2x - 1[/tex]
A college-entrance exam is designed so that scores are normally distributed with a mean of 500 and a standard deviation of 100. You scored a 625. Calculate your z-score to the nearest hundredth (i.e. 2 decimal places).
z=
Answer: The required z-score = 1.25
Step-by-step explanation:
Let x be a random variable that denotes the scores in the exam.
The formula for z-score = [tex]\dfrac{X-\text{mean}}{\text{standard deviation}}[/tex]
As per given, we have
X= 625, mean=500, standard deviation = 100
Z-score = [tex]\dfrac{625-500}{100}[/tex]
i.e. Z-score = [tex]\dfrac{125}{100}[/tex]
i.e. Z-score =1.25
Hence, the required z-score = 1.25
y divided by the product of 3 and x
Answer: y/3x
Step-by-step explanation: 3 times x is 3x, so y/3x
Out of 180 students, 50 students play Piano, 68 play Guitar, and 59 play Flute
. Also 35 play Piano and Guitar, 40 play Guitar and Flute and 25 play Piano and Flute. 15
play all, Piano, Guitar and flute.
Draw a Venn diagram to represent this information.
Answer:
Step-by-step explanation:
A Venn diagram depicts the logical relationships between two or more sets of elements by using alternating circles or other shapes. They're often used to visually arrange information, showing how objects are similar and different. In the fields of mathematics and statistics, Venn diagrams, also known as "set diagrams" or "logic diagrams," are commonly used.
From the given information:
Since we are to represent the given question into a Venn diagram, the diagram is being attached in the image below.
From the image below, we represent:
P =students that played Paino
G = students that played guitar
F = students that played flute
P = 50
G = 68
F = 59
(PUG) -35
(PUF) = 59
(GUF) = 40
since the value of (PUGUF) is not given, we represent it with x.
See the attached image below for diagrammatic representation of the Venn diagram.
Please I beg of you answer this question please answer this correctly no links no trolls pleaseeee
Answer:
Step-by-step explanation:
pi r^2 for area
pi 35^2
pi1225= about 3848.45
2pi r for circumference
2pi35
pi70= about 219.9
look at pic 10 pts will mark brainilest
Answer:
its a right angle and the area of it is 24
Step-by-step explanation:
4. Vivian uses a debit card to pay for a purchase, but she spends more than she has in her bank account. What will happen next?
Answer:
Vivian will have to get a loan, and pay back the money she spent with her debit card. If she cannot pay back this loan in time, the interest will grow higher and higher. Using a debit card is NOT good because if you don't have the money for something and you buy it anyway, you'll have to pay back double the money if you miss the deadline for the loan.
Simplify 1/4^-2 x 1/4^-7
Find the X and Y
Help ASAP please!!!
Write an exponential function =for a graph that passes through (2,1) and (3,10). Ill give you whatever please help
Answer:
[tex]y = \frac{1}{100} \times 10{}^{x} [/tex]
Step-by-step explanation:
Use coordinates (2,1) and 3,10
The exponential equation is
[tex]y = a \times b {}^{x} [/tex]
Plug in the x and y values.xfor both functions of coordinates.
[tex]1 = a \times b {}^{2} [/tex]
[tex]10 = a \times b {}^{3} [/tex]
Divide the equation with the larger exponet by the other equation.
[tex]10 = b[/tex]
Substitute that in for one of the equations.
[tex]10 = a \times 10 {}^{3} [/tex]
Solve for a.
[tex]10 = a \times 1000[/tex]
[tex] \frac{1}{100} = a[/tex]
So our exponetial equation is
[tex]y = \frac{1}{100} \times 10 {}^{x} [/tex]
Can somebody help please?
Please Help me i'm not good with math
A triangle has two sides of length 17 and 4. What is the smallest possible whole-number
length for the third side?
Answer:
14
Step-by-step explanation:
because the sum of the 2 smaller side have to add up to greater than the larger side
x+4 > 17
x > 13
14 is the next biggest whole number
Which graph represents a direct variation?
I don't know all of them I guess since I can't see the graphs
Answer:
The graph of the direct variation equation is a straight line through the origin.
Step-by-step explanation:
Will give brainliest for correct answer
Answer:
a and c
Step-by-step explanation:
A customer at the store wanted to buy a different watch that was listed at $88 but had a 15% discount. Then the customer had to pay a sales tax of 5% on the discounted price. How much did the customer pay for the watch? *
Step-by-step explanation:
88 X 0,15 =....
... X 1.05 = answer
Sofia has 25 coins in nickels and dimes in her pocket for a total of $1.65. How many of each type of coin does she have?
Answer:
17 nickels
8 dimes
Step-by-step explanation:
n + d = 25
.05n + .10d = 1.65
use substitution: n = 25-d
.05(25-d) + .10d = 1.65
1.25 - .05d + .10d = 1.65
.05d = .40
d = 8 ∴ n = 17
Find the area of this circle. Use 3 for .
A = 7r2
10 ft
[?] ft2
PLEASE HELP
Answer:
7.0686
your welcome :D.
Raymond bought wrapping paper that cost
$0.04 per square inch. How much did it cost to
wrap this box.
Answer: $46.08
Step-by-step explanation:
Find the surface Area of the box
the bases are 12*12= 144 times 2 bases 144*2= 288
The area of each side is 12*18=216 times 4 sides 216*4=864
add the totals together to find the total surface area 288+864=1152
total surface area is 1152 inches. Multiply by the cost per square inch
1152*.04= 46.08
Find the pattern. What numbers come next?
50, 44, 38, 32,
A 27, 22, 17
B
24, 16, 8
C
25, 18, 12
D
26, 20, 14
Answer:
D
Step-by-step explanation:
the pattern is -6 to get the next number
Find the sector area.
Answer:
D
Step-by-step explanation:
What is an equation of the line that passes through the point (-5,-2) and is
parallel to the line x - y = 5?
Answer:
[tex]y=x+3[/tex]
Step-by-step explanation:
What we need to know
Linear equations are typically organized in slope-intercept form: [tex]y=mx+b[/tex] where m is the slope of the line and b is the y-intercept (the value of y when the line crosses the y-axis)Parallel lines have the same slope1) Rewrite the equation x - y = 5 into slope-intercept form and identify the slope
[tex]x - y = 5[/tex]
Subtract both sides by x
[tex]x - y -x= -x+5\\-y= -x+5[/tex]
Divide both sides by -1
[tex]y= x-5[/tex]
Now, we can tell clearly that the slope (m) of this line is 1. Therefore, a line parallel to this would also have a slope of 1.
Plugging 1 as m into [tex]y=mx+b[/tex], we get:
[tex]y=x+b[/tex]
2) Find the y-intercept (b) of the line parallel to [tex]y= x-5[/tex] and find the final equation
[tex]y=x+b[/tex]
Plug in the given point (-5,-2)
[tex]-2=-5+b[/tex]
Add 5 to both sides
[tex]-2+5=-5+b+5\\3=b[/tex]
Therefore, the y-intercept of this line is 3. Now, plugging this back into our original equation, we get:
[tex]y=x+b\\y=x+3[/tex]
I hope this helps!
The company plans to increase the width and length of the large box by 4 inches each to create a new larger box. How many more of the small boxes will be able to fit inside this new larger box compared to the original large box?
Answer:
Answer:16
Step-by-step explanation: 2x2 is 4
4x4. Is 16w
W stand for width
Step-by-step explanation:
PLEASE HELP ME :C ...
Answer:
B) a²-(2*4)
Step-by-step explanation:
Since we are looking for the gray area only, we need to find the total area of the figure, but subtract that from the area of the unshaded area.
The total area of the figure is a*a=a²
The area of the unshaded figure is 2*4=8 units^2
This means the gray area is a²-(2*4) units^2, making B correct
find the slope of each line
Answer:
(1,1) and (2,-4)
Step-by-step explanation:
i supposed each line is 1,2,3,4,5 because it is not given the graph numbers but I hope it could help
=[tex]\frac{mv^{2} }{2}[/tex] ; Solve for v.
Answer:
[tex]v=\sqrt{\frac{2E}{m} }[/tex]
Step-by-step explanation:
[tex]E=\frac{mv^2}{2}[/tex]
[tex]2E=mv^2}[/tex]
[tex]v^2=\frac{2E}{m}[/tex]
[tex]v=\sqrt{\frac{2E}{m} }[/tex]
Find the area of the shape below
Dulce the dog loves to go on walks. Each morning she walks for 45minutes.She also goes for a 20 minute walk at lunch, and an evening stroll for 1 hour and 30 minutes. How long does she walk each day?
Answer:
2 hour and 35 minutes
Step-by-step explanation:
45 +20 = hour and 5 minutes
65+90=155 or 2 hour and 35 minutes
find the value of x.
Answer:
5
Step-by-step explanation:
5y+155=180
5y=180-155=25
y=5
5y+13x=90
13x=90-25=65
x=5°
What percent of 400 is 8?
help
no links
Answer:
2%
Step-by-step explanation:
Hello, to find the percentage of 8 and 400, you simply divide 8 over 400 and you get 2%.
Answer:
2%
Step-by-step explanation:
[tex]\frac{8}{400} =\frac{y}{100}[/tex]
Cross multiply.
400y = 800
400y ÷ 400 = 800 ÷ 400
y = 2
Find the area of the triangle
Answer:
The answer to this problem is 12.5.
Step-by-step explanation:
The formula for finding the area of a triangle is b * h * 1/2 or divide by 2 (base times height times one-half or two).
Since this is a equilateral triangle, all of the sides are equivalent to each other. Since we know one of the sides is 5, all of the sides are 5.
5 * 5 = 25
Then you need to multiply this answer by 1/2 or divide by 2, whichever is easier.
25 / 2 = 12.5
The answer is 12.5.
Also, it would be FANTABULOUSLY AMAZING if I could get brainliest!!!
Just sayin, that would be pretty great.