Answer:
false
Step-by-step explanation:
bacteria are bigger and more complex than viruses.
Can someone help me plssssssssss
The vertice of triangle ABC are A(8,4), B(6,3) and C(5-5). Find the angle between the side AB and BC.
Answer:
Step-by-step explanation:
Use law of cosines
c² = a² + b² - 2abcosθ
cosθ = (c² - a² - b²) / -2ab
c = length of AC = √(8 - 5)² + (4 - (-5))² = √90
b = length of AB = √(8 - 6)² + (4 - 3)² = √5
a = length of BC = √(6 - 5)² + (3 - (-5))² = √65
cosθ = (√90² - √65² - √5²) / -2√65√5
cosθ = 20 / -36.05551...
cosθ = - 0.5547001
θ = 123.69°
In a recent survey, it was found that 133 out of 631 randomly selected Knott's Berry Farm attendees consider Silver Bullet their favorite ride at Knott's. It was also found that 23 out of 121 randomly selected Knott's Berry Farm employees consider Silver Bullet their favorite ride. Test the hypothesis that the percentage of attendees who consider Silver Bullet their favorite ride is different than the percentage of Knott's Berry Farm employees who consider Silver Bullet their favorite ride. Use the a=.05 level of significance.
The P-value is __________, rounded to the nearest ten-thousandth (4 decimal places).
Using the z-distribution, it is found that the p-value is of 0.5975.
At the null hypothesis, it is tested if the proportions are equal, that is, their subtraction is 0, hence:
[tex]H_0: p_1 - p_2 = 0[/tex]
At the alternative hypothesis, it is tested if they are different, that is, their subtraction is not 0, hence:
[tex]H_1: p_1 - p_2 \neq 0[/tex]
The sample sizes and proportions are given by:
[tex]n_1 = 631, p_1 = \frac{133}{631} = 0.2108[/tex]
[tex]n_2 = 121, p_2 = \frac{23}{121} = 0.1901[/tex]
The standard errors are given by:
[tex]s_1 = \sqrt{\frac{0.2108(0.7892)}{631}} = 0.0162[/tex]
[tex]s_2 = \sqrt{\frac{0.1908(0.8092)}{121}} = 0.0357[/tex]
For the distribution of differences, the estimate and the standard error are:
[tex]\overline{p} = p_1 - p_2 = 0.2108 - 0.1901 = 0.0207[/tex]
[tex]s = \sqrt{s_1^2 + s_2^2} = \sqrt{0.0162^2 + 0.0357^2} = 0.0392[/tex]
The test statistic is given by:
[tex]z = \frac{\overline{p} - p}{s}[/tex]
In which [tex]p = 0[/tex] is the value tested at the null hypothesis.
Then:
[tex]z = \frac{\overline{p} - p}{s}[/tex]
[tex]z = \frac{0.0207 - 0}{0.0392}[/tex]
[tex]z = 0.528[/tex]
Using a z-distribution calculator, with a two-tailed test, as we are testing if the mean is different of a value, the p-value is of 0.5975.
A similar problem is given at https://brainly.com/question/25869410
if a + b equal to pi by 4 then prove that 1 + cot a into 1 + cot B equal to 2 into cot a into cot b
Answer:
(cotA − 1) (cotB − 1) = 2
Step-by-step explanation:
A+B= π/4 = 180°/4 = 45°
A+B=45°
∴ cot(A+B)=cot45°
∴ cotBcotA−1 / (cotB+cotA) = 1
⇒cotB + cotA = cotBcotA = 1
⇒cotB + cotA − cotBcotA + 1 = 0
⇒cotBcotA − cotB − cotA − 1 = 0
⇒cotBcotA − cotB − cotA − 1 + 2 = 0+2
⇒cotBcotA − cotB − cotA + 1 = 2
⇒cotB(cotA − 1) (cotA − 1) = 2
⇒(cotA − 1) (cotB − 1) = 2
Proved
4.6 + 3.28 + 1.03 = ___
8.91
8.81
8.37
8.18
Answer: The answer is 8.91.
Answer : 8.91
Step - by - step explanation :
Sometimes if a question is to big for you - it's best to start off small . . .
4.60 + 3.28 = 7.88
7.88 + 1.03 = 8.91
I need help asap very struggle with math
Answer:
16feet
part B is 18 feed for a good at a better than the price but the one
What is 2(n+7)+3n simplified and written in factored form?
Multiple choice question.
A)
5n+9
B)
5n+14
C)
3(2n+3)
D)
2(3n+7)
Answer:
B)
Step-by-step explanation:
2(n+7)+3n
now you multiply 2 though
2n+14+3n
Add common factors
5n+14
__________________________________________________________
Hope this helps!!
If I am wrong, please tell me, I enjoy learning from my mistakes:)
At Buffalo Wild Wings, you order a meal that costs $15.86. You leave an 18% tip (on the pre-tax amount).
The sales tax is 8%. What is the total cost of the meal?
Answer:
round to cent 20.59
Step-by-step explanation:
What is the gradient?
Answer:
The gradient is negative.
Step-by-step explanation:
The gradient represents the rise/run ratio. Always read the line's path left to right, and if it goes up, then it is positive, down means negative gradient, and if it doesnt move then it 0. It is undefined if the line is vertical.
The pool at "Splash Around" is open for 14 weeks during the summer. You can swim for $6 a session, or you can buy membership for
$100 and pay only $4 a session. Which equation would you use to determine how many sessions you must use the pool to justify
buying the membership?
Answer:
Step-by-step explanation:
if x is the number of times you go swimming
100 + 4x < 6x
Out of an 98 day season
If you attend 50 days, the cost is $300 either with or without the membership
Less than 50 days, it's less expensive to just pay the daily rate.
More than 50 days, it's less expensive to have the membership.
Clara is making a pennant. She attaches a rectangle that is 1 inch wide and 6 inches long to a triangle that has a base of 6 inches and a height of 28 inches. What is the area of the
pennant?
The area of the pennant made by Clara is 90 in²
Area
Area is the amount of space taken up by a two dimensional figure. It measures the quantity of space covered by the figure.
Area of the rectangle = length * width = 6 in * 1 in = 6 in²
Area of triangle = (1/2) * base * height = (1/2) * 6 in * 28 in = 84 in²
Area of the pennant = 6 in² + 84 in² = 90 in²
The area of the pennant made by Clara is 90 in²
Find out more on Area at: https://brainly.com/question/25292087
Answer:
90in^2
Step-by-step explanation:
Area of the rectangle = length times width = 6 x1 = 6 in^2
then the Area of triangle = 1/2 base times height = (1/2) x 6 x 28= 84 in^2
and the Area of the pennant is = 6 + 84 = 90 in
Step-by-step explanation:
Solve for equation for x: 5x^2 – 10x – 6 = 0
Correct me if im wrong po
At a certain shirt factory, 6 buttons are used on each shirt. If a box containing 120 buttons costs $7, determine the cost for the number of buttons needed for 680 shirts
Answer: $238
Step-by-step explanation:
120/6 = 20 shirts for $7
680 / 20 = 34 lots of shirts costing $7
the cost = 34 x 7 = $238
Answer:
238$
Step-by-step explanation:
680*6=4080
this is how many buttons used
4080/120=34
this is how many boxes of buttons
34*7=238
this is the amount
I will give brainliest
Answer:
Its D. 36
Step-by-step explanation:
DUE TODAY PLZ HELP!!
Solve this system of equations using the Substitution method. Don't forget to write your final answer as a coordinate point. You must show all your work.
3x + y = -2
y = 2x + 3
The solution to the system of equations expressed as a coordinate point is [tex](x.y)=(-1,1)[/tex]
To solve the system
[tex]3x + y = -2\\y = 2x + 3[/tex]
Note that [tex]y[/tex] is already made subject of formula in [tex]y = 2x + 3[/tex]. So substitute the value for [tex]y[/tex] into [tex]3x + y = -2[/tex] to eliminate [tex]y[/tex] and leave us with an equation with [tex]x[/tex]
[tex]3x + y = -2\\3x + (2x+3) = -2\\3x+2x+3=-2\\3x+2x=-2-3\\5x=-5\\\frac{5x}{5}=\frac{-5}{5}\\x=-1[/tex]
Substitute this value of [tex]x[/tex] into [tex]y = 2x + 3[/tex] to get the value of [tex]y[/tex]
[tex]y = 2(-1) + 3\\y=-2+3\\y=1[/tex]
The solutions are [tex]x=-1,y=1[/tex], or expressed as a coordinate point
[tex](x.y)=(-1,1)[/tex]
Learn more about systems of equations here: https://brainly.com/question/16763389
Which expression is equivalent to 440d2 - 176d?
666666666666666666766666666
Answer:
c
Step-by-step explanation:
i saw the answer sheet :)
x squared+ y squared = 2 y = 2x squared – 3 Which of the following describes the system?
Answer:
[tex]x=-1,1,-\sqrt{\frac{7}{4} },\sqrt{\frac{7}{4}}[/tex] and [tex]y=-1,\frac{1}{2}[/tex]
The ordered pair solutions are [tex](-\sqrt{\frac{7}{4}},0.5)[/tex], [tex](\sqrt{\frac{7}{4}},0.5)[/tex], [tex](-1,-1)[/tex], and [tex](1,-1)[/tex].
Step-by-step explanation:
I'm assuming the system is [tex]\left \{ {x^2+y^2=2} \atop {y=2x^2-3}} \right.[/tex]:
[tex]x^2+y^2=2[/tex]
[tex]x^2+(2x^2-3)^2=2[/tex]
[tex]x^2+(4x^4-12x^2+9)=2[/tex]
[tex]x^2+4x^4-12x^2+9=2[/tex]
[tex]4x^4-11x^2+9=2[/tex]
[tex]4x^4-11x^2+7=0[/tex]
[tex]x^4-11x^2+28=0[/tex]
[tex](x^2-7)(x^2-4)=0[/tex]
[tex](4x^2-7)(x^2-1)=0[/tex]
[tex]4x^2-7=0[/tex]
[tex]4x^2=7[/tex]
[tex]x^2=\frac{7}{4}[/tex]
[tex]x=\pm\sqrt{\frac{7}{4}}[/tex]
[tex]x^2-1=0[/tex]
[tex]x^2=1[/tex]
[tex]x=\pm1[/tex]
[tex]y=2x^2-3[/tex]
[tex]y=2(\pm\sqrt{\frac{7}{4}})^2-3[/tex]
[tex]y=2({\frac{7}{4}})-3[/tex]
[tex]y=\frac{7}{2}-3[/tex]
[tex]y=\frac{1}{2}[/tex]
[tex]y=2x^2-3[/tex]
[tex]y=2(\pm1)^2-3[/tex]
[tex]y=2(1)-3[/tex]
[tex]y=2-3[/tex]
[tex]y=-1[/tex]
Therefore, [tex]x=-1,1,-\sqrt{\frac{7}{4} },\sqrt{\frac{7}{4}}[/tex] and [tex]y=-1,\frac{1}{2}[/tex]
The ordered pair solutions are [tex](-\sqrt{\frac{7}{4}},0.5)[/tex], [tex](\sqrt{\frac{7}{4}},0.5)[/tex], [tex](-1,-1)[/tex], and [tex](1,-1)[/tex].
Solve the proportion:
11/10 = 22/x
Answer:
x=20
Step-by-step explanation:
What is the percent decrease from 95 to 68 round to the nearest percent
The decrease is (95-68) = 27 .
As a fraction, the decrease is 27/95 of the original amount.
To change any fraction to a decimal, do the division:
(27) divided by (95) = 0.2842...
To change any decimal to a percentage, move the
decimal point two places that ==> way:
0.2842... = 28.42... %Answer:
Step-by-step explanation:
[tex]\qquad[/tex]☀️ At first we need to find out the difference between 95 and 68.
[tex]\qquad[/tex][tex] \sf \longrightarrow 68 -95 \\[/tex]
[tex]\qquad[/tex][tex] \sf \longrightarrow -27[/tex]
[tex]\qquad[/tex]☀️ Now, divide the number by "the starting number.
[tex]\qquad[/tex][tex] \sf \longrightarrow \dfrac{-27 }{97}[/tex]
[tex]\qquad[/tex][tex] \sf \longrightarrow -0.2842[/tex]
[tex]\qquad[/tex]☀️ And finally, we have to multiply the result by 100 to get it in terms of percent.
[tex]\qquad[/tex][tex] \sf \longrightarrow -0.2842 \times 100[/tex]
[tex]\qquad[/tex][tex] \red{\bf \longrightarrow -28.42℅}[/tex]
Hence, The answer will be -28.42℅[tex]\qquad[/tex]_________________________
PLEASE HELP FAILING ...A random variable x has a mean of 22 and a standard deviation of 3.1. Random samples of size 40 are drawn, and the sample mean calculated each time. What is the probability that, for a given sample, is 21?
The sample sizes are quite large, so the central limit theorem applies. (It typically does as soon as the sample size exceeds 30 or so.) This means that the sample mean will be approximately normally distributed with the same mean 22 but standard deviation 3.1/√40 ≈ 0.4902.
Now, if the question is asking about the probability of the sample mean being an exact number, that probability would be zero.
But if you meant to ask something else, like "what is the probability that the sample mean is less than 21?" then we would have a non-zero probability. In this particular case, if Y is a random variable for the sample mean, then
Pr[Y < 21] = Pr[(Y - 22)/(3.1/√40) < (21 - 22)/(3.1/√40)]
… ≈ Pr[Z < -2.0402]
… ≈ 0.0207
Need help I can’t fail this assignment. Answer asap!
Answer:
Step-by-step explanation:
Perpendicular lines have negative reciprocal slopes
6x + 5y = 10
5y = -6x + 10
y = (-6/5)x + 2
so a perpendicular line has slope 5/6
y = (5/6)x + b
plug in our desired point
3 = (5/6)6 + b
b = -2
y = (5/6)x - 2
I might be able to help you pass this assignment, but better learn it yourself as I cannot assure you will pass the class.
One of those "Win the battle but lose the war" type situations.
How do I get the answer for exponents? Please explain step by step to get marked!
Answer:
4900
Step-by-step explanation:
70^2 means 70*70
70*70=4900
Answer:
you will do 70 times 70 because 70^2 is 70 times 70 which is 4,900.
If 6 pounds of apples cost $4.80 what is the cost per 9 pounds
Answer:
Cost of 1 pound apple:4.80/6=2.4
cost of 9 pounds apple:2.4 ×9=21.6
En el siguiente trapecio calcular el valor de la base mayor x
Answer:
x = 20°
Step-by-step explanation:
OA = OB
so 140°+x°+x° = 180°
140+2x = 180
2x = 40
x = 20°
find three solutions of 9x - 2y = 18
(i don't know why I can't type this out right the first two times)
Answer:
Some solutions of 9x−2y=18 are x=5 =−18 ; x=7 and y=19 ; x=9 and y=0 ; x=11 and y=9 and x=13 and y=18 .
Step-by-step explanation:
No clue if someone can explain
Answer:
your trying to find out how much each cookie cost
from looking at this we can see that 2 cookies is 1 dollar so each cookie is 50 cents
Hope This Helps!!!
NO LINKS
A jaguar can run 40 miles per hour while a giraffe can run 32 per mile if they both run for 4 hours how much farther will the jaguar run? Show TWO ways to write the expression or equation and solve
Answer:
(40*4)-(32*4)=32
160-128=32
Step-by-step explanation:
What does this equal 2(4+5) over 3
One kilometre is about 0.62 miles. It is 12 kilometres from Noah's house to the
ice skating rink. About how many miles is it from Noah's house to the ice
skating rink?
u'll get extra points if u answer guys!! pls help!!!!!
Answer:
7.44miles
Step-by-step explanation:
1km = 0.62miles
12km will be ; 0.62 × 12
= 7.44miles
PLLLZZZ NO ONE WILL HELP ME!!!
Given this equation in slope-intercept form…
y = 2x + 5
Identify or solve for the following:
Slope
y-intercept
x-intercept
Independent variable
Dependent variable
Domain
Range
We would like to represent a line passing through the point (5,0) with a slope of 2. Please write the equation for this line in slope-intercept form and in point-slope form.
What is the rate of change of the function above?
Answer:
y = m x + b standard form of straight line
y = 2 x + 5
The slope is m and = 2
the y intercept is 5 because when x = o y = 5
if y = 0 then x = -2/5 and would be the x intercept
x is the independent variable and y is the dependent variable
I am not familiar with your definitions for domain and range but
both x and y can vary from -∝ to = ∝