Answer:
D) 368
Step-by-step explanation:
you already have 2 of the sides of WXYZ (120 is the length of both long sides). to get the length of the shorter side (YZ), you can solve for the 3rd side of the triangle WYZ using the pythagorean theorem, which states that the square root of the different between the square of the hypotenus (the line YW, which is 2 * 68 for WYZ) and the square of the known side (WZ, which is 120 here) is equivalent to the unknown side (YZ). using that info,[tex]\sqrt\\(2 *68)^{2} - 120^{2}[/tex] = 64, so 64 is the length of YZ. the perimeter of WXYZ is (2 * WZ) + (2 * YZ) = (2 * 120) + (2 * 64) = 368. therefore, the perimeter of WXYZ is 368!
If there are 42 boys and 54 girls in a room, fill out all of the possible
ratios of boys to girls that could be made.
There are 42 boys for every 54 girls (42:54 ratio)
Answer:
21:27 and 14:18
Step-by-step explanation:
We can solve this by using common factors
one of the common factors of 54 and 42 is 3
42/3=14
54/3=18
so one of the ratios is 14:18
another common factor is 2
42/2=21
54/2=27
so another ratio is 21:27
Derek has 2 feet of Tasty Cherry Rope. He plans on splitting it evenly between himself and 5 of his friends. How many inches should eat person get?
Answer:
4 inches
Step-by-step explanation:
There are six people total (derek+5 friends)
2 feet = 24 inches
24 inches divided by the 6 people = 4 inches per person
in a class of 34 students, 19 of them are girls.
What percentage of the class are girls?
Give your answer to 1 decimal place.
Answer:
55.8% close to 56% :)
Step-by-step explanation:
Answer:
I think it's 55.88%
Step-by-step explanation:
In triangle XYZ, the measure of angle Z is 42°, and the measure of angle Y is 68.4°. What is the measure of angle X?
9514 1404 393
Answer:
69.6°
Step-by-step explanation:
The sum of angles in a triangle is 180°, so angle X is ...
∠X = 180° -∠Y -∠Z
∠X = 180° -68.4° -42°
∠X = 69.6°
Find the missing side. If necessary,
round to the nearest hundredth.
c = [?]
a = 5
b = 8
Answer:
can u tell of which shape these sides are ??
What is an equation of the line that passes through the point (8,-8)(8,−8) and is perpendicular to the line 4x-3y=184x−3y=18?
Answer:
The equation of the line is [tex]y = -\frac{3x}{4} - 2[/tex]
Step-by-step explanation:
Equation of a line:
The equation of a line has the following format:
[tex]y = mx + b[/tex]
In which m is the slope and b is the y-intercept.
Perpendicular lines:
When two lines are perpendicular, the multiplication of their slopes is -1.
Perpendicular to the line 4x-3y=18
First, we place this line into the format, to find the slope:
[tex]4x - 3y = 18[/tex]
[tex]3y = 4x - 18[/tex]
[tex]y = \frac{4x}{3} - 6[/tex]
This line has slope 4/3. So, for the perpendicular line, the slope will be of m as such:
[tex]\frac{4m}{3} = -1[/tex]
[tex]4m = -3[/tex]
[tex]m = -\frac{3}{4}[/tex]
So the desired line will have an equation in the following format:
[tex]y = -\frac{3x}{4} + b[/tex]
Passes through the point (8,-8)
We use this to find b. This point means that when [tex]x = 8, y = -8[/tex]. So
[tex]y = -\frac{3x}{4} + b[/tex]
[tex]-8 = -\frac{3*8}{4} + b[/tex]
[tex]-8 = -6 + b[/tex]
[tex]b = -2[/tex]
So
[tex]y = -\frac{3x}{4} - 2[/tex]
What percent of people surveyed from San Francisco wear Adidas shoes? Round to the nearest percent when necessary.
Answer:
33
Step-by-step explanation:
Add 165 and 80 to get 245. 80 times 3 = 240.
So 80 is around 1/3 of 240. In other words it is around 33%
Answer:
5
Step-by-step explanation:
3/4 to the 2nd power
[tex]Your[/tex] [tex]answer[/tex] [tex]would[/tex] [tex]be.[/tex]
[tex]3/4[/tex] [tex]to[/tex] [tex]the[/tex] [tex]second[/tex] [tex]power[/tex] [tex]is[/tex] [tex]9/16[/tex] [tex]or[/tex] [tex]0.5625[/tex]
[tex]- Yaoii[/tex]
A sample of 50 potential customers was asked to use your new product and the product of the leading competitor. After one week, they were asked to indicate which product they preferred. In the sample, 30 potential customers said that they preferred your product. (a) Find the sample proportion. (5 points) (b) Find the 95% confidence interval for the proportion of potential customers who prefer your product. (10 points) (c) If you want the 95% maximum likely error to be 0.08 or less, what would you choose for a sample size
Answer:
a) The sample proportion is of 0.6.
b) The 95% confidence interval for the proportion of potential customers who prefer your product is (0.4642, 0.7358).
c) A sample size of 145 is needed.
Step-by-step explanation:
(a) Find the sample proportion.
30 out of 50. So
[tex]\pi = \frac{30}{50} = 0.6[/tex]
The sample proportion is of 0.6.
(b) Find the 95% confidence interval for the proportion of potential customers who prefer your product.
In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.
[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In which
z is the zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex].
For this problem, we have that:
[tex]n = 50, \pi = 0.6[/tex]
95% confidence level
So [tex]\alpha = 0.05[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.05}{2} = 0.975[/tex], so [tex]Z = 1.96[/tex].
The lower limit of this interval is:
[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.6 - 1.96\sqrt{\frac{0.6*0.4}{50}} = 0.4642[/tex]
The upper limit of this interval is:
[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.6 + 1.96\sqrt{\frac{0.6*0.4}{50}} = 0.7358[/tex]
The 95% confidence interval for the proportion of potential customers who prefer your product is (0.4642, 0.7358).
(c) If you want the 95% maximum likely error to be 0.08 or less, what would you choose for a sample size
The margin of error is:
[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
We need a sample size of n, and n is found when M = 0.08. So
[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
[tex]0.08 = 1.96\sqrt{\frac{0.6*0.4}{n}}[/tex]
[tex]0.08\sqrt{n} = 1.96*sqrt{0.6*0.4}[/tex]
[tex]\sqrt{n} = \frac{1.96*sqrt{0.6*0.4}}{0.08}[/tex]
[tex](\sqrt{n})^2 = (\frac{1.96*sqrt{0.6*0.4}}{0.08})^2[/tex]
[tex]n = 144.1[/tex]
Rounding up
A sample size of 145 is needed.
I need help! I’m stuck on this problem!!
Jackie is five times as old as her son Elijah. The sum of their ages is 48. How old is Elijah?
Answer:
Elijah is 8.
Step-by-step explanation:
8 x 5 = 40 (Jackie is 40)
40 + 8 is 48!
Answer:
97.9% sure its 8
Step-by-step explanation:
function q has zeros of -3 and 8 and passes through the y-axis at the point (0,12). the rate of change of function q is -3/2 on the interval (?,?). answer for the ?’s
Answer:
Step-by-step explanation:
"function q has zeros of -3 and 8"
q(x) = a(x+3)(x-8)
"q passes through the y-axis at the point (0,12)"
a(0+3)(0-8) = 12
a = -½
q(x) = -½(x+3)(x-8) = -½x² + 2.5x + 12
q'(x) = -x+2.5
-x+2.5 = -1.5
x = 4
rate of change is -1.5 at the point (4,14).
Solve the proportion 3/x+1 = 1+2
Answer:
x = 5
Common denominator of 3/x+1 to 1/2
If the numerator is 3 times, then so is the denominator in a proportion.
3/1=x+1/2
x+1 must equal 6 for the proportion to be equal to 1/2.
6-1=5, so x is 5.
Find the perimeter and area of the figure.
4
4
8
6
12
perimeter - 60 units
area - 116 units
perimeter - 54 units
area - 112 units?
perimeter - 48 units
area - 116 units?
perimeter - 116 units
area - 60 units?
Answer:
Perimeter: 60
Area: 116
Find the volume of this figure.
Given the equation 3x^2−22x + 34 = −1
Which type of factoring would you use to solve this polynomial for its roots?
Question 1 options:
Quadratic Trinomial a = 1
Quadratic Trinomial a ≠ 1
Grouping
Difference of Squares
Answer:
3
Answer:
Step-by-step explanation:
3x² - 22x + 34 = -1
I wouldn't factor it at all. The Quadratic Formula always works, and there 's no guessing.
Quadratic formula
x = [22 ± √(22² – 4·3·35)] / [2·3]
= [22 ± √64] / 6
= [22 ± 8] /6
= 7/3, 5
What value of x makes 2x - 7 = 13 true?
Answer: x=10, is the correct answer.
Step-by-step explanation:
A circle has a diameter of 41 centimeters. Which equation can be used to find the radius of this circle?
Answer:
Equation to find radius = Diameter divided by 2
Area is 1319.585
Step-by-step explanation:
Diameter = 41 cm
Radius = 41÷2 = 20.5cm
Area = πr^2
Area = 3.14×(20.5)^2
Area = 3.14×420.25
Area = 1319.585cm^2
for what value of x is the equation below true?
x2+4x +5=0
Hi there!
[tex]\large\boxed{\text{None.}}[/tex]
Using the discriminant formula, we can determine if this equation is ever true:
b² - 4ac
Plug in the a, b, and c values from the equation:
(4)² - 4(1)(5)
16 - 20 = -4 < 0
Since the discriminant is less than 0, there are no zeros to the equation. Thus, the equation is never true.
|2x-3|=2
What is x?
Pls Help I need help very very BADDDDD!
Answer:
Hey! Hope this helps!
Step-by-step explanation:
Have an awesome Friday <3
Martin had a lemonade stand in the summer. He sold 8 drinks every hour. How much time would it take Martin to sell 32 drinks? (just put the number in the answer)
Answer:
4 hours
Step-by-step explanation:
32/8=4
Answer:
4 Hours
Step-by-step explanation:
just divide 32 by 8
besties help what's 84÷n=6
Answer:
14
Step-by-step explanation:
When one encounters a problem like this all one must do is divide the number to the left (84) by the number on the right (6) then to double check divide the outcome by the number on the left or multiply the outcome by the one on the right.
Feel free to check the equations below:
84 divided by 6 = 14
84 divided by 14 = 6
14 times 6 = 84
84 ÷ 14 = 6
A meteoroid moving at a constant speed travels 6 7/8 miles in 30 seconds. How far does the meteoroid travel in 1 second?
Answer:
k
Step-by-step explanation:
k
someone help me please:)
9514 1404 393
Answer:
(12, 4)
Step-by-step explanation:
The point (12, 4) is the only one in the doubly-shaded area of the graph. Of the choices offered, it is the only one that is a solution.
__
I prefer to use a graphing calculator to draw the graph and plot the points. That is more interesting to me than evaluating the inequalities over and over.
Here, we find the first inequality is only satisfied by the first point. We can rewrite it so we're not messing with fractions.
y ≥ -5/6x +2
6y ≥ -5x +12 . . . . multiply by 6
5x +6y ≥ 12 . . . . . add 5x
Now, to check the points:
(12, 4) -- 5(12) +6(4) ≥ 12 . . . true
(0, -2) -- 5(0) +6(-2) ≥ 12 . . . not true
(6, -7) -- 5(6) +6(-7) ≥ 12 . . . not true
(-12, 7) -- 5(-12) +6(7) ≥ 12 . . . not true
Just to make sure, we can use the first point in the second inequality:
(12, 4) -- 4 ≤ 5(12) -1 . . . true
The point (12, 4) would be a solution to the two inequalities.
Find the inverse of square root f(n) = n – 3.
Of(n) = (n + 3)
Of-1 (n) = yn +1
Of-1 (n) = -n° +1
Of-1 (n) = -n3 – 3
Answer:
[tex]f'(n) = n + 3[/tex]
Step-by-step explanation:
Given
[tex]f(n) = n - 3[/tex]
Required
The inverse
[tex]f(n) = n - 3[/tex]
Replace f(n) with y
[tex]y = n - 3[/tex]
Swap positions of y and n
[tex]n = y - 3[/tex]
Make y the subject
[tex]y = n + 3[/tex]
Replace y with f'(n)
[tex]f'(n) = n + 3[/tex]
I NEED HELP ASAP
FIND THE VAULE OF H IN THE FOLLOWING FIGURE
140°+h=180°
h=180°-140°
h=40°
Consider the graph showing two functions.
Which answer can be used to find the solution to the system of equations?
A. x= 3/x
B. x= 9/x
C. 0= 3/x + x
D 0= 9/x + x
Answer:
B
Step-by-step explanation:
I took the test but all you need to do is find the intersecting point with your axis to get your possible answers.
Hope this helps <3
Which expression is equivalent to the given expression? Assume the denominator does not equal zero. 12x^9y^4/6x^3y^2
Answer:
The correct answer is 2x^6y^2
Step-by-step explanation:
I got it right. Hope this helps.
An expression is defined as a set of numbers, variables, and mathematical operations. The solution of the given expression (12x⁹y⁴)/(6x³y²) is 2x⁶y².
What is an Expression?In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.
The given expression (12x⁹y⁴)/(6x³y²) can be solved as,
(12x⁹y⁴)/(6x³y²)
= (12/6) x⁽⁹⁻³⁾ y⁽⁴⁻²⁾
= 2x⁶y²
Hence, the solution of the given expression (12x⁹y⁴)/(6x³y²) is 2x⁶y².
Learn more about Expression:
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Question 2
Take a screenshot of the quadrilateral with its slopes labeled, and paste it below. Based on the slopes, which type of quadrilateral is it? Explain
your answer
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USO 10:01
edmentum answer and yea you're welcome
It should be noted that the quadrilateral is a trapezoid.
What's a trapezoid?A trapezoid is a quadrilateral with at least one pair of parallel sides. In a trapezoid, the parallel sides are called the bases, and the non-parallel sides are called the legs. The distance between the bases is known as the height or altitude of the trapezoid.
A trapezoid has two bases, which are parallel to each other. These bases can have different lengths or the same length, depending on the type of trapezoid.
The legs of a trapezoid are the non-parallel sides. They connect the bases and can have different lengths.
A trapezoid has four angles. The angles formed by the bases and legs are called the base angles, while the angles formed by the legs and non-adjacent side are called the diagonal angles.
Learn more about trapezoid
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please help with this math problem
Answer:
7, 15
Step-by-step explanation:
hope it can help you
Step-by-step explanation:
14/2 =7 so
(x+7)^2 + [ ]
if you were to multiply just the (x+7)^2 term it would look like x^2 +14x+49, but we need that final term to be equal to 64, so you can add 15 on to the end to make up for the gap.
This should get you
f(x) = (x+7)^2 + 15
PLEASE HELP ASAP WILL MARK BRAINLIEST ✨
Answer:
12 | 52 | 64 |
27 | 59 | 86 |
39 | 111 | 150 |
I attempted making a chart with the answers