A density curve for all the possible weights between 0 pounds and 10 pounds is in the shape of a rectangle. What is the height of the rectangle in this density curve? O A. 0.01 OB. 0.001 O c. 0.1 O D. 0.0001 SUBMIT
Answer:
0.1
Step-by-step explanation:
For a density curve, total area = 1
Probability lies in between 0 and 1
The Area of rectangle :
Area = Length * width
Length = 0 - 10 = 10
Area = 1
Hence,
Area = Length * width
1 = 10 * w
1 = 10w
w = 1 /10
w = 0.1
Gary went to dinner with his friends. The total bill comes to $135.00 before tax. He wants to leave a 15% tip before tax. He also must pay an 8% tax on the bill. How much does Gary spend in total?
No links or I will report!
Answer:
Gary spends a total of $166.05
Step-by-step explanation:
15% tip: would be 15% of 135, so 0.15 times 135, which would be $20.25 for the tip before tax
8% tax: would be 8% of 135, so 0.08 times 135, which would be $10.8
Then we add $20.25+$10.8+$135= $166.05
Hope I helped, please correct me anywhere you think I may have messed up if I did make mistakes.
what is the slope of a line between (-4,14) and (-16,8)
Answer:
[tex] \frac{1}{2} [/tex]
Step-by-step explanation:
slope :
[tex]slope \: = \: \frac{y2 - y1}{x2 - x1} = \frac{8 - 14}{ - 16 - - 4} = \frac{ - 6}{ - 12} = \frac{1}{2} [/tex] = 0.5
given the slope intercept form of the equation identified the slope y=3/4x-3
he function a = –2x2 + 8x + 5 models the altitude a in feet of a ball thrown in the air and the horizontal distance in feet that the ball travels. Which is the vertex form of the function? (i just need part b answer)
Answer:
for part b the vertex is (2, 13)
Step-by-step explanation:
no (ice)
Answer:
It could be (2, 13)..
Step-by-step explanation:
If cotangent of theta is < 0, in which quadrant(s) could the terminal side of
angle theta lie?
Q2 and Q4
02 and 03
Q3 only
04 only
Answer:
Q2 and Q4
Step-by-step explanation:
Trigonometric functions and quadrants:
In x is in the first quadrant, cos(x) > 0 and sin(x) > 0.
In x is in the second quadrant, cos(x) < 0 and sin(x) > 0.
In x is in the third quadrant, cos(x) < 0 and sin(x) < 0.
In x is in the fourth quadrant, cos(x) > 0 and sin(x) < 0.
Cotangent:
The cotangent is the cosine divided by the sine.
Cotangent negative, which quadrants?
It is negative when sine and cosine have opposite signals. So in the second and the fourth quadrant, that is, Q2 and Q4.
Complete the table.
9514 1404 393
Answer:
1/5 = 20% = 0.201/4 = 25% = 0.251/2 = 50% = 0.52/3 = 66.6...% = 0.6...Step-by-step explanation:
The symbol % is interchangeable with /100. That is 25% = 25/100. One percent is one hundredth, so the decimal equivalent can be found by writing the percentage number in the hundredths place of a decimal number.
25% = 25/100 = 0.25 = 25 hundredths
The fractions can be converted to percentages by any of ...
multiply by 100%: 1/5 × 100% = (100/5)% = 20%
multiply by a value that makes the denominator 100: 1/5 × 20/20 = 20/100
divide the numerator by the denominator to get the decimal, then convert
1/5 = 0.20 = 20%
__
Additional comment
You will notice that multiplying by 100% is the same as moving the decimal point right 2 places and adding a % symbol. Similarly, dividing by 100% will convert a percentage back to a decimal. It has the effect of removing the % symbol and shifting the decimal point left 2 places.
Which expression gives the distance between the points (5, 1) and (9,-6)?
O A. (5-9)2 + (1+6)2
B. 16-9)2 + (1 - 6)?
C. (6-9)2 + (1 - 6)?
D. V65-9)2 + (1+6)
Answer:
The answer is C
are 5x and x+5 equivalent expressions?
Answer:
No.
Step-by-step explanation:
5x represents the product of 5 and an unknown number (x).
5x can also be written as 5 * x.
x + 5 represents the sum of 5 and an unknown number (x).
Hope this helps.
Use the calculator to evaluate each expression. Round your answers to the nearest hundredth. (GIVING POINTS AND BRAINLEST TO BEST ANSWER)
Answer:
Ah YES DEGREES
A. Cos 85 = 0.09
B. Sin 7 = 0.12
C. Tan 35 = 0.70
D. Cos 65 = 0.42
E. Tan 23 = 0.42
Step-by-step explanation:
help with this please
Answer:
I think the answer to this would be 93.40
A one pound bag of skittles contains 300 pieces of which 28% are red. How many skittles were red?
Answer:84
Step-by-step explanation:
Find all Values of b that will make the polynomial a perfect square trinomial.
25z^2+bz+36
Please write out how to do this so I can see the steps of what I am doing wrong. thank you!
Answer:
There are two solutions for [tex]b[/tex]: [tex]b = + 30\cdot z[/tex], [tex]b = -30\cdot z[/tex]
Step-by-step explanation:
By Algebra, we know that a polynomial is a perfect square trinomial if it is of the form:
[tex]a^{2} + 2\cdot a \cdot c + c^{2} = (a + c)^{2}[/tex] (1)
By direct comparison, we have the following system:
[tex]a^{2} = 25\cdot z^{2}[/tex], [tex]c^{2} = 36[/tex], [tex]2\cdot a \cdot c = b[/tex].
There are two possible solutions for [tex]b[/tex]:
1) [tex]a = \pm 5\cdot z[/tex], [tex]c = \pm 6[/tex], [tex]b = + 30\cdot z[/tex]
2) [tex]a = \pm 5\cdot z[/tex], [tex]c = \mp 6[/tex], [tex]b = -30\cdot z[/tex]
Select the value(s) that represent
Answer:
±3/5
Step-by-step explanation:
±sqrt(9/25)
We can separate this into
± sqrt(9) / sqrt(25)
Since these are perfect squares
±3/5
6.Write the equation of the line that goes through (4, –6) and (1, 2). Put your answer in Slope–Intercept Form.
Answer:
Step-by-step explanation:
y ≈ -2.667x + 4.667
iv)
The sum of
four numbers in G.P. is 80 and the A.M. between the
first and the last is 28. Show that the numbers are 2, 6, 18, 54.
Answer:
Step-by-step explanation:
Given numbers : 2 , 6, 18, 54
Since common ration between numbers,
[tex]common \ ratio \ in \ GP , \ r = \frac{a_n}{a_{n-1}} = \frac{6}{2} = 3[/tex]
So the numbers are in GP.
Now Sum of the numbers = 2 + 6 + 18 + 54 = 80
AM, arithmetic mean between first and last number :
[tex]\frac{54+2}{2} = \frac{56}{2} =28[/tex]
All the conditions are true.
j-27.5=3.9 solve for the variable
Answer:
31.4
Step-by-step explanation
I think
It takes Max 9 minutes to read 10 pages of his book. Which equation represents the
relationship between the number of pages, p, that Max can read and the number of
minutes, m?
Answer:
y represents the pages, while x represents the minutes. for every y, there is 9/10 x, therefore the equation is y=9/10x
A box-and-whisker plot titled Move length in minutes is shown. The number line goes from 80 to 400 in increments of 10. The whiskers range from 81 to 138, and the box ranges from 95 to 128. A line divides the box at 108. Describe the shape of the graph. Although the mean cannot be determined from the graph, can an approximation of the mean be determined? Explain.
Answer:
the answer is b
Step-by-step explanation:
A quadratic function y=f(x)y=f(x) is plotted on a graph and the vertex of the resulting parabola is (3, -6)(3,−6). What is the vertex of the function defined as g(x)=f(x)+2g(x)=f(x)+2?
Explanation:
The vertex of f(x) is (3,-6)
The vertex of g(x) is (3,-4). We keep the x coordinate the same, but add 2 to the y coordinate. This shifts the vertex 2 units up.
(x + 3)^2 = 12 ? need answers ASAP
Answer:
option c is the correct answer
I would appreciate if someone could answer this question:)
Answer:
x = 1
Step-by-step explanation:
Recall: adjacent angles supplementary
Therefore,
65x + 115° = 180°
Subtract 115° from each side
65x + 115° - 115° = 180° - 115°
65x = 65
Divide both sides by 65
65x/65 = 65/65
x = 1
024
+2]
Answer to this ?
Answer:
[tex]4 \times \frac{11}{12} [/tex]
also equals 4.9
the total mass of 6 rugby players is 540kg and the mean mass of 14 ballet dancers is 40kg. Find the mean mass of the group of 20 rugby players and ballet dancers
Answer:
Mean mass of 20 rugby player = 55
Step-by-step explanation:
Given:
Mass of 6 rugby players = 540 kg
Mean mass of 14 ballet dancer = 40 kg
Find:
Mean mass of 20 rugby player
Computation:
Total mass of ballet dancer = 14 x 40
Total mass of ballet dancer = 560 kg
Total mean mass of 20 rugby player = [540 + 560] / [6 + 14]
Mean mass of 20 rugby player = 1100 / 20
Mean mass of 20 rugby player = 55
Find the value of x. Round to the nearest.
Answer:
Solution given:
perpendicular [P]=x
base[B]=9
hypotenuse [H]=41
Now.
By using Pythagoras law
H²=P²+B²
41²=x²+9²
x²=41²-9²
x=[tex]\sqrt{1600}=40[/tex]
x=40 is a required answer.
What is the product? (-1 2 4) x (3 6 1 2 4 0 0 6 2)
Answer:
-44793767688
Step-by-step explanation:
(-124)×(361240062)=-44793767688
Answer:
[1 26 7] is the answer
Step-by-step explanation:
francis is ten years old. ben is twice as old as francis .what is the age of ben?
Answer:
Collage math (hehe) ... Ben is 20
Step-by-step explanation:
Give me Brainiest Answer Award please and thank you! :D
Arithmetic
If Francis is ten years old, then Ben is twenty.
10x2=20
Find the area of the regular polygon. Round to the nearest tenth.
Answer:
3462.8 squared unit
Step-by-step explanation:
Applying,
A = nh²tan(360/n)......... equation 1
Where A = area of the regular polygon, n = number of sides of the polygon, h = length of the apothem.
From the question,
Give; n = 5 sides, h = 15
Substitute these values into equation 1
A = 5×15²×tan(360/5)
A = 1125×tan72
A = 1125×3.078
A = 3462.75
A = 3462.8 squared unit
Statisticians prefer large samples. Describe briefly the effect of increasing the size of a sample (or the number of subjects in an experiment) on each of the following:
1. Increases
2. Decreases
3. Unaffected
A. The margin of error of a 95% confidence interval.
B. The P-value of a test, when H0 is false and all facts about the population remain unchanged as n increases.
C. The power of a fixed level test when the alternative hypothesis, and all facts about the population remain unchanged.
Answer:
Margin of Error decreases
Pvalue decreases
Power increases
Step-by-step explanation:
The margin of error decreases as sample size increases given the same level of confidence, hence, the interval gets narrower.
The margin of error = (Zcritical * σ/√n) ; where, n is the denominator, as the denomination increases, the obtained value will decrease, hence, the margin of error.
When we have a false H0, then we expect a statistical result which will reject H0, with all facts remaining unchanged , increase in sample size n, will lead to decrease in Pvalue, because a lower P value increases the significance of statistical test needed to reject H0.
The power of a fixed level test when the null hypothesis is true, higher power is required to reject the null , increasing n will increase the probability of rejecting H0, by increasing the power of a fixed level test.
Solve the equation by factoring. 3x^2-5x-12=0
Answer:
x = 3
[tex]x=-1\frac{1}{3}[/tex] or [tex]x=-\frac{4}{3}[/tex]
Step-by-step explanation:
3x² - 5x - 12 = 0
Method 1: Factoring
3x² + 4x - 9x - 12 = 0
(3x² + 4x) + (- 9x - 12) = 0
x(3x + 4) - 3(3x + 4) = 0
(x - 3)(3x + 4) = 0
Two separate equations
x - 3 = 0
3x + 4 = 0
x - 3 = 0
x - 3 + 3 = 0 + 3
3x + 4 = 0
3x + 4 - 4 = 0 - 4
3x = - 4
[tex]\frac{3x}{3} :-\frac{4}{3}[/tex]
[tex]x=-1\frac{1}{3}[/tex]
Method 2: Quadratic Formula
Ignore the A before the ±, it wouldn't let me type it correctly.
[tex]x=\frac{-b±\sqrt{b^{2} -4ac} }{2a}[/tex]
3x² - 5x - 12 = 0
a = 3
b = - 5
c = - 12
[tex]x=\frac{-(-5)±\sqrt{(-5)^{2} -4((3)(-12))} }{2(3)}[/tex]
[tex]x=\frac{-(-5)±\sqrt{25 -4((3)(-12))} }{2(3)}[/tex]
[tex]x=\frac{-(-5)±\sqrt{25 +144} }{2(3)}[/tex]
[tex]x=\frac{-(-5)±\sqrt{169} }{2(3)}[/tex]
[tex]x=\frac{-(-5)±13}{2(3)}[/tex]
[tex]x=\frac{5±13}{6}[/tex]
Two separate equations
One must have a + (positive) and the other will have a - (negative).
[tex]x=\frac{5+13}{6}[/tex]
[tex]x=\frac{18}{6}[/tex]
x = 18 ÷ 6
x = 3
[tex]x=\frac{5-13}{6}[/tex]
[tex]x=\frac{-8}{6}[/tex]
x = - 8 ÷ 6
[tex]x=-1\frac{1}{3}[/tex]