We will have the following:
I) If the standard deviation increases then the distribution will be wider [For the graph].
II) If the standard deviation decreses then the distribution will be thinner [For the graph].
Circular pizza pies at Pat's Pizza's come in 12-inch and 14-inch diameters.
Which is closest to the difference in the areas of the pizza pies? Use 3.14 for pi.
The difference in the areas of the pizza pies will be 40.82 square inches.
What is the area of the circle?It is the close curve of an equidistant point drawn from the center. The radius of a circle is the distance between the center and the circumference.
Let d be the diameter of the circle. Then the area of the circle will be
A = (π/4)d² square units
Then the difference in the areas of the pizza pies is given as,
A = (π/4) {14² - 12²}
A = (3.14 / 4) x (196 - 144)
A = 0.785 x 52
A = 40.82 square inches
The difference in the areas of the pizza pies will be 40.82 square inches.
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The zoo has 4 tigers and plans to adopt more tigers soon. Gabby meets with Chloe, the manager of the tiger exhibit, to discuss the tigers’ habitat. They want to make sure there is enough space for the new tigers.
The Natureland Zoo has these requirements for a tiger habitat:
The trees, feeding station, and drinking station need at least 300 square feet all together.
Each tiger needs at least 225 square feet of space.
How many square feet of space is the zoo required to have for 4 tigers? Show your work.
Answer:
multiple 4×225 because there are 4 tigers and one Tiger needs 225 square feet so mutiple 4×225 and you got 900 so the answer will be 900 square feet
the aquarium of americas has two new shark tanks. each shark tank holds a total of 1,440 gallons of water. the ratio of sharks to gallons of water in tank 1 is 8 to 120 and the ratio of sharks to gallons of water in tank 2 is 3 to 90
Answer:
144 total # sharks
Step-by-step explanation:
Don't know what it is that you are looking for BUT here is the total number of sharks
1440 / 120 * 8 + 1440 / 90 * 3 =
Which is an expression for the volume of the prism (v =lwh)
Show how to calculate the volume in two different ways
The expression that shows the volume of the prism is x³ - x² - 6.
How to find the volume of a rectangular prism?The prism above is a rectangular prism. The volume of the prism can be found as follows:
The volume of the prism can be found as follows:
volume of the rectangular prism = lwh
where
l = length of the basew = width of the baseh = height of the prismTherefore,
volume of the rectangular prism = (x - 3)(x)(x + 2)
volume of the rectangular prism = (x² - 3x)(x + 2)
volume of the rectangular prism = x³ + 2x² - 3x² - 6
volume of the rectangular prism = x³ - x² - 6
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A man earns $9.99 for each of the first 36 hours he works in one week and $14.99 in overtime pay for each
additional hour he works in the same week. How much money will he make if he works 46 hours in one week?
Answer:
459.54
Step-by-step explanation:
46(9.99)
=459.54
Answer:
$159.89
Step-by-step explanation:
36 hours + 10 hours = 46
14.99 * 10 = 149.9
(36 hours) $9.99 + (overtime pay) $149.9 = (Total money) $159.89
$9.99 + $149.9 = $159.89
$159.89
Which of the following expressions are equivalent to 18x + 12 - 4? select three that apply.
A. 26x
B. 30x-4
C. 18x+8
D. 2(9x+4)
E. 2(9x+12 - 4
F. 6(3x+2)-4
Answer:
F
Step-by-step explanation:
6×3x=18x
6×2=12
18x+12-4
Answer:
see below
Step-by-step explanation:
18x + 12 - 4 simplify
C. 18x + 8D. 2(9x + 4)F. 6(3x + 2) - 4what is the area of the triangle
Answer:
Use this to answer your question :)
Step-by-step explanation:
The area of a triangle is defined as the total region that is enclosed by the three sides of any particular triangle. Basically, it is equal to half of the base times height, i.e. A = 1/2 × b × h.
Answer:
54 units²
Step-by-step explanation:
Formula we use,
→ Area = ½ × b × h
Now the area of the triangle is,
→ ½ × b × h
→ ½ × 18 × 6
→ 9 × 6
→ 54 units²
Hence, the area is 54 units².
In a class of 50 statistics students, 27
students received an A. What fraction of the class received an A?
Answer:
Fraction of the number that received an A= = 27/50
Step-by-step explanation:
In a class of 50 statistics students, 27
students received an A.
Total number of students=50
Number that received an A= 27
Fraction of the number that received an A= Number that received an A/Total number of students
Fraction of the number that received an A= = 27/50
Patel squeezed oranges so that his family could have fresh-squeezed juice for breakfast. He squeezed StartFraction 4 over 17 EndFraction cups from the first orange, StartFraction 3 over 10 EndFraction cups from the second orange, StartFraction 9 over 20 EndFraction cups from the third orange, StartFraction 3 over 11 EndFraction cups from the fourth orange, and StartFraction 7 over 15 EndFraction cups from the fifth orange. Patel estimates that he needs 3 cups of orange juice for his family. About how much more orange juice does he need to reach his estimate?
Answer:
A. 1/2 cups
Step-by-step explanation:
13/15 is close to 1
1/5 is a small amount
9/20 is just over 1/2
5/11 is just under 1/2
7/15 is just under 1/2
Estimate: 1 + 1/2 + 1/2 + 1/2 + a little = 2 1/2
He needs 3 cups, so he needs another 1/2 cup.
Answer: A. 1/2 cups
Answer:
it a 1/2
Step-by-step explanation:
HELP ME OUT PLS!!!!!
What is the volume of this cone? Use 3.14 for and round your answer to the nearest tenth. In your answer, give the volume of the cone rounded to the nearest tenth, and then explain how you calculated it. (Note: type out all of your work AND type out your explanation for FULL credit.)
We observe that the
height of the cone is 8 in.
radius of the cone is 2 in.
Volume of a cone = 1/3 π r² h
where R = radius and h = height
Using the formula we get :
Volume = 1/3 π 2 × 2 × 8
= 32 / 3 π cm³
= 33.5 cm³ ( rounded to 10)
How does examining the answers to a question help you determine if the question is a statistical question?
As a statistical question is one that can be addressed using statistical methods or analysis, looking at the responses to a question can help identify whether it is a statistical question.
In order to provide a response to a question regarding a population or sample, statistical inquiries typically entail gathering and evaluating data. Consequently, a statistical question's responses would require some sort of data analysis or interpretation.
As a result, we can tell if a question is statistical by looking at the replies and seeing if it requires the use of statistical techniques and data analysis to answer.
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Graph the line that contains the point (-3,1) with a slope of 2/3
Answer:
The graph of the line \(y=\frac{2}{3}x+3\) that contains the point (-3,1) with a slope of 2/3 is attached below.
Step-by-step explanation:
We know that the slop-intercept form of the equation is
\(y=mx+b\)
where m is the slope, and b is the y-intercept.
Given the slope = m = 2/3, and point (-3, 1)
\(1=\frac{2}{3}\left(-3\right)+b\)
\(-\frac{2}{3}\cdot \:3+b=1\)
\(-2+b=1\)
\(b=3\)
so the equation of line will be:
\(y=mx+b\)
\(y=\frac{2}{3}x+3\)
Also, the graph of the line \(y=\frac{2}{3}x+3\) that contains the point (-3,1) with a slope of 2/3 is attached below.
Determine an expression for the missing side
length. Be sure to show your work!
The expression for the missing side length, c, is c = √(a² + b²).
To determine an expression for the missing side length, follow these steps:
Identify the given side lengths in the problem. You didn't provide the specific side lengths or the type of shape
(triangle, rectangle, etc.), but I will assume it's a right triangle with given side lengths a and b, and the missing side
length is c (the hypotenuse).
Apply the Pythagorean theorem for a right triangle, which states that the sum of the squares of the two shorter sides (a
and b) is equal to the square of the hypotenuse (c):
a² + b² = c².
Solve for the missing side length (c) by taking the square root of both sides of the equation:
c = √(a² + b²).
So, the expression for the missing side length, c, is c = √(a² + b²).
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Find the number of distinct real zeros of the degree 5 polynomial function f(x)=(x+6)^2(x-5)(x^2+9)
enter your response here distinct real zeros.
The given polynomial has two distinct real zeroes and the real zeroes are; x = -6 and x = 5.
What are the distinct real zeroes of the polynomial?The distinct real zeroes of the polynomial are as follows;
Given; f(x) = (x+6)² (x-5) (x² + 9)
The distinct zeroes are therefore; x = -6, x = 5 and x = ±3i.
Ultimately, since ±3i are complex zeroes; it follows that there are two distinct real zeroes which are; x = -6 and x = 5.
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Given sinz = -4/5 for pi < z < (3pi)/2, find the value of cosz.
The angle z is in the third quadrant, the value of cosz is negative. Hence, cosz = -3/5.So, the value of cosz is -3/5.
Given sinz = -4/5 for pi < z < (3pi)/2, we need to find the value of cosz. We can use the trigonometric identity of Pythagorean theorem to find the value of cosz.
According to Pythagorean theorem, sin2θ + cos2θ = 1, where θ is the angle in the right-angled triangle and sin, cos are the trigonometric ratios.
The negative sign for the given sinz indicates that the angle z is in the third quadrant. So, we can take the help of the unit circle to find the value of cosz as shown below:
Here, we have used the Pythagorean identity of sin2z + cos2z = 1 on the unit circle to find the value of cosz. Since the value of sinz is already given, we can find the value of sin2z as: sin2z = sinz x sinz = (-4/5) x (-4/5) = 16/25
Then, we can substitute the value of sin2z in the Pythagorean identity as: cos2z = 1 - sin2z = 1 - (16/25) = 9/25We need to find the value of cosz.
So, we can take the square root of cos2z as: cosz = ±(√(9/25)) = ±(3/5)The sign of cosz can be determined by considering the quadrant of the angle z.
Since the angle z is in the third quadrant, the value of cosz is negative. Hence, cosz = -3/5.So, the value of cosz is -3/5.
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Your property taxes come due annually and generally cost about $4,000. You decide that you would like to set aside a monthly amount, beginning in January, to be prepared for when this bill comes at the end of the year. How much should you set aside each month?
Round your answer to the closest dollar amount.
Answer:
333
Step-by-step explanation:
4000÷12=333.33
-3a + 4 = -14
What the answer to this
Answer:
-6
Step-by-step explanation:
-3a + 4 = -14
-3a = -14 - 4
-3a = -18
a = -18 / 3
a = -6
Answer:
a = 6
Step-by-step explanation:
Step 1: Subtract 4 from both sides.
-3a + 4 - 4 = -14 - 4
+4 and -4 cancel out.
Step 2: Subtract 4 from -14 to get -18.
-3a = -18
Step 3: Divide both sides by -3.
a = -18/-3
Step 4: Divide -18 by -3 to get 6.
a = 6
Let's check our work by substituting a for 6.
-3(6) + 4 = -14
Multiply -3 by 6 to get -18.
-18 + 4 = -14
Add -18 and 4 to get -14.
-14 = -14
This is true, so a = 6.
Which expression is equivalent to 2a + 5 (2 + 7a)?
Answer:
37a + 10
Step-by-step explanation:
Have a good day :)
In ΔWXY, the measure of ∠Y=90°, WY = 5, XW = 13, and YX = 12. What ratio represents the cosine of ∠W?
Answer:
We can use the Pythagorean theorem to find the length of the third side of the triangle:
WX² + YX² = WY²
13² + 12² = WY²
169 + 144 = WY²
WY² = 313
WY = √313
Now we can use the definition of the cosine function to find cos(W):
cos(W) = adjacent/hypotenuse
The adjacent side to angle W is WX, which has length 13. The hypotenuse is WY, which we found to be √313. So:
cos(W) = 13/√313
To rationalize the denominator, we can multiply top and bottom by √313:
cos(W) = 13/√313 * √313/√313
cos(W) = 13√313/313
So the ratio that represents the cosine of angle W is 13√313/313.
I need help with is proof if -4(x-3) +5x=24,then x=12
well, replace all x with the number 12
-4(12-3)+5(12) = 24
-4(9) +60 = 24
-36+60 = 24
24 = 24
Hope this helps!
HELP ASAPPPP 10 POINTS EASY
The equation of g ( x ), given that it is a vertical stretch, would be (4/5)x² - 4.
How to find the equation ?The output (dependent variable) of f(x) must be multiplied by the stretching factor in order to obtain the equation of g(x), which is a vertical stretching of f(x) by a factor of 2.
The function can be shown as:
f(x) = Ay² + B
g(x) = 2(Ay² + B)
g(x) = 2((2/5)x² - 2)
g(x) = (4/5)x² - 4
So, the equation of g(x) is g(x) = (4/5)x² - 4.
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What is the prime factorization of 72?
A. 1 x 2 x 4 x 9
B. 2^2 x 3^2
C. 2^2 x 3^3
D. 2^3 x 3^2
Answer:
the prime factorization of 72 is : 2 × 2 × 2 × 3 × 3 =
Step-by-step explanation:
Line A contains the points (– 6, – 3) and (– 2, – 1). Line B contains the points (8, 2) and (12, 4).
How many solutions does the system of equations have?
Answer:
One Answer
Step-by-step explanation:
Take two points like (8,2) and (12,4) and do y2-y1/x2-x1.
4-2/12-8 = 4/2 = 2.
Then that another point and plug it in to the equation, y = 2x + b.
i will use (8,2). 2 = 2(8)+b. solve this and you get b= -14.
now you found your answer. y=2x + -14.
Please help me I need to solve for x.
NEED HELP ASAP a bag contains four green marbles,six white marbles, and ten red marbles. One marble is picked at random from the bag. What is the probability of picking a white marble?
Answer:
3/10
Step-by-step explanation:
add all the marbles together4+6+10
=20
probability of picking a white marble is6/20
=3/10
I need help with my scale project is there anyway you could make me two similar figures with this and it also has the proportions.
To make a similar figure, we measure the lengths of each component of the figure - for example, the leg of the figure is 2 units - and then multiply each measured length by a number. This number could be any number - could be 2, 3, 4 ... but we will choose a small enough number that will give us a figure that can fit inside the graph.
Now here are the measurements of the figure.
The legs = 1 units
bottom = 2 units
top = 2 units
sides = 2 units
nose = 0 units (it is a point)
eyes - 0.5 units
Now let's multiply the measurements above by 3, which gives
The legs = 3 units
bottom = 6 units
top = 6 units
sides = 6 units
nose = 0 units (it is a point)
eyes - 1.5 units.
Finally, we draw a figure with these measurements.
For the experiment of rolling an ordinary pair of dice, find the probability that the sum will be less than 6 or greater than 9.
The probability that the sum will be less than 6 or greater than 9 is
The probability that the sum is 5/9.The additive dice roll has 36 different results, as explained. A sum of 9 is rolled using the numbers 6 (and vice versa) and 3 or 5 and 4. (and vice versa).
What is the likelihood of rolling two dice together?The additive dice roll has 36 different results, as explained. A sum of 9 is rolled using the numbers 6 (and vice versa) and 3 or 5 and 4. (and vice versa). Given that this is feasible 4 times out of 36, the probability calculated by adding the two dice is 4/36, or 1/9.
I am assuming that you are rolling two dice.
Probability of even: 18 "evens" out of 36 total outcomes = 18/36
→(1,1), (1,3), (1,5), (2,2), (2,4), (2,6), (3,1), (3,3), (3,5),(4,2), (4,4), (4,6), (5,1), (5,3), (5,5), (6,2), (6,4), (6,6)
Probability of greater than 9: 6 ">9s" out of 36 total outcomes = 6/36
→(4,6), (5,5), (5,6), (6,4), (6,5), (6,6)
Probability of both evens and >9s: 4 "both" out of 36 total outcomes = 4/36
→(4,6), (5,5), (6,4), (6,6)
evens OR >9s NOT both
18/36 + 6/8 - 4/36 = 20/36 = 5/9.
The probability that the sum is 5/9.
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What is the inequality
Answer:
In mathematics, an inequality is a relation which makes a non-equal comparison between two numbers or other mathematical expressions. It is used most often to compare two numbers on the number line by their size.
Step-by-step explanation:
Review the graph of function g(x).
On a coordinate plane, a line goes from open circle (0, 0) through (negative 4, 2). A curve goes from the open circle to (2, 1) and then down through open circle (4, 0). A closed circle is at (4, negative 2).
Which table identifies Limit as x approaches 0g(x) and Limit as x approaches 4g(x), if they exist?
Limit of g (x) as x approaches 0 0
Limit of g (x) as x approaches 4 0
Limit of g (x) as x approaches 0 DNE
Limit of g (x) as x approaches 4 DNE
Limit of g (x) as x approaches 0 0
Limit of g (x) as x approaches 4 −2
Limit of g (x) as x approaches 0 DNE
Limit of g (x) as x approaches 4 −2
Answer:
The Answer is A) 0,0
Step-by-step explanation:
I got it right!
1/4 divided by 2= because x2=1/4
Answer:
1/8
Step-by-step explanation:
Anytime you need to divide and there's a fraction involved, like a fraction over a number (like your question) or a number over a fraction, or even a fraction over a fraction, you can use this method.
Keep-Change-Flip
Keep the first or top number the same. Change the divide to a times. Flip the second number. Then you can multiply. For multiplying with fractions, you multiply top×top and bottom×bottom, straight across. See image.