Answer:
y = -3x - 8
Step-by-step explanation:
Slope-Intercept Form: y = mx + b
m - slope
b - y-intercept
Step 1: Define
slope m = -3
y-intercept = -8
Step 2: Plug into equation
y = -3x - 8
Aging workers of the Neotropical termite, Neocapritermes taracua, develop blue crystal containing glands ("backpacks") on their backs, When they fight intruding termites and are hampered, these "blue" termites explode, and the glands spew a sticky liquid (Sobotnik et al. 2012). The following data are from an experiment that measured the toxicity of the blue substance. A single drop of the liquid extracted from blue termites was placed on individuals of a second termite species, Labiotermes labralis, and the number that were immobilized (dead or paralyzed) within 60 minutes was recorded. The frequency of this outcome was compared with a control treatment in which liquid from glands of "white" termites lacking the blue crystals was dropped instead.
Is the blue liquid toxic compared to liquid from white termites?
Liquid source Unharmed Immobilized
Blue workers 3 37
White workers 31 9
Answer:
Yes blue liquid is toxic
Step-by-step explanation:
H0: p1 = p2
H1: p1>p2
For blue
We calculate proportion as
37/40 = 0.925
For white
9/40 = 0.2250
To get p
(X1 + x2)/(n1 + n2)
= 0.5750
After calculating the z as statistic (please check attachment) I got 6.33
P value = 0.0000
We reject null hypothesis and say in conclusion that enough evidence exists for us to say blu liquid is toxic!
Thank you!
find m ABC (2x) (5x+5)
Answer:
=130
Step-by-step explanation:
(2x) (5x+5) = 180
7x + 5 = 180
7x = 175
x = 25
5(25) + 5 = 125 + 5 = 130
Hope this helps (:
3- ¿Cuál es la probabilidad de que al escoger un número positivo de dos cifras, este sea
primo y termine en 3?
O a) 1/15
b) 2/90
c) 6/91
d) 9/90
Answer:
6 primos de dos cifras(casos favorables) / 90 numeros de dos cifras(casos posibles) = 1/15
Step-by-step explanation:
Usando el concepto de probabilidad, se encuentra que hay una probabilidad de [tex]\frac{1}{15}[/tex], opcion A, de que al escoger un número positivo de dos cifras, este sea primo y termine en 3.
------------------------------
Una probabilidad es dada por la división de el número de resultados deseados por el número de resultados totales. Hay 90 números positivos de dos cifras.13, 23, 43, 53, 73, 83 son primos y terminan en 3, o sea, el número de resultados deseados es 6.Entonces:
[tex]p = \frac{6}{90} = \frac{1}{15}[/tex]
Probabilidad de [tex]\frac{1}{15}[/tex], opcion A, de que al escoger un número positivo de dos cifras, este sea primo y termine en 3.
Un problema similar es dado en https://brainly.com/question/24583317
select 3 names for the angle.
please help ! i would mark brainliest to the first answer.
x^2 = 4 py
where p<0
Step-by-step explanation:
I think this is it but I am not sure
|-9×+7|+8 is less than or equal to 9
Answer:
I don’t think it’s neither less than it equal
Step-by-step explanation:
I could be wrong don’t listen to me :)
- You invest $1,000 in a stock market index fund that earns 8% compounded annually overa
10-year period (a simplified example since stock market returns vary year to year). How
much would your investment be worth after this 10-year period?
A. $1,080
B. $1,800
C. $2,000
D. More than $2,000
Answer:
I believe c
Step-by-step explanation:
I believe this because if you invest in stock for ten years as on this paragraph the answer is C
Option D is correct. we worth more than $2000 after 10 year period.
What is Percentage?percentage, a relative value indicating hundredth parts of any quantity.
Given that You invest $1,000 in a stock market index fund that earns 8% compounded annually over a 10-year period.
We have to find the investment be worth after this 10-year period.
A=P(1+r)ⁿ
P is the initial amount
r is rate of interest
n is the time
A=1000(1+0.08)¹⁰
A=1000(1.08)¹⁰
A=1000×2.1589
A=2158.9
Hence, option D is correct. we worth more than $2000 after 10 year period.
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4- La probabilidad que llueva el 3 de mayo en El Salvador es de 50% y la probabilidad
que llueva el 3 y 4 de mayo es 40%. Si llovió el 3 de mayo, ¿cuál es la probabilidad que
llueva el 4 de mayo?
O a) 40%
b) 80%
c) 9096
d) 10096
Answer:
80%
Step-by-step explanation:
Deje que el evento de que lloverá el 3 de mayo sea A y el evento de que lloverá el 4 de mayo sea B.
P (A) = 50% = 0,5
P (B) =?
P (A n B) = 40% = 0,4
Para encontrar la probabilidad de B,
aplicamos el uso de la probabilidad de Bayes
P (B | A) = P (A n B) / P (A) = 40% / 50% = 40/50 = 0,8 o 80%
Por definición de probabilidad condicional, la opción correcta es opción b): si llovió el 3 de mayo, la probabilidad que llueva el 4 de mayo es 80%.
En primer lugar, debes saber que la Probabilidad es la mayor o menor posibilidad de que ocurra un determinado suceso.
En otras palabras, la probabilidad establece una relación entre el número de sucesos favorables y el número total de sucesos posibles.
En este caso, se llama suceso A al evento de que llueva el 3 de mayo en El Salvador, mientras que el suceso B será el evento de que llueva el 4 de mayo en El Salvador.
Siendo el suceso A∩B (A intersección B) cuando A y B ocurren simultáneamente, entonces:
P(A)= 50%=0,5P(A∩B)= 40%=0,4Por otro lado, la probabilidad condicional P(A|B) es la probabilidad de que ocurra un evento A, sabiendo que también sucede otro evento B. Esto es, es la probabilidad de que ocurra el suceso A si ha ocurrido el suceso B. Se define como:
P(A|B) = P(A∩B)÷ P(B)
En este caso, si llovió el 3 de mayo, deseas conocer la probabilidad que llueva el 4 de mayo. Entonces la probabilidad condicional a conocer es:
P(B|A) = P(A∩B)÷ P(A)
Entonces:
P(B|A) = 0,4÷ 0,5
P(B|A) = 0,8= 80%
Finalmente, la opción correcta es opción b): si llovió el 3 de mayo, la probabilidad que llueva el 4 de mayo es 80%.
Aprende más:
https://brainly.com/question/24290732?referrer=searchResultscan someone solve this please 5(5t + 1) = 25t – 7
The correct Standard Form of the equation y=−2/7x−11/7
Answer:
y=-(2)/(7)x-5
Step-by-step explanation:
Help, Plz explain!!!
Answer:
B. 40
Step-by-step explanation:
y varies directly as x
y=kx, k is a constant
when x=8, y=5. k*8=5
k=5/8
When x=64,
y= 5/8 * 64
y= 40
Answer:
I think the answer will be C 61
Step-by-step explanation:
y=5 when x=8
8-3=5
x=64 y=?
64-3=61
I need help with this question
Answer:
b
Step-by-step explanation:
The left and nght page numbers of an open book are two consecutive integers whose sum is 447. Find these page numbers
Answer:
223 and 224
Step-by-step explanation:
Divide 447 by 2. It gives a decimal of 223.5, but obviously you don't have half pages. So the page number would be 223 and 224.
Answer:
223,224
Step-by-step explanation:
page 1-x
page 2-x+1
2x+1=447
2x=446
x=223
page 1=223
page 2=224
Brainliest is Very Appreciated!
A magazine includes a report on the energy costs per year for32-inch liquid crystal display (LCD) televisions. The article states that 14 randomly selected 32-inch LCD televisions have a sample standard deviation of $3.42 . Assume the sample is taken from a normally distributed population. Construct 98 % confidence intervals for (a) the population variance sigma squared and (b) the population standard deviation sigma .
Interpret the results. (a) The confidence interval for the population variance is (___,___ ). (Round to two decimal places as needed.)
Interpret the results. Select the correct choice below and fill in the answer box(es) to complete your choice. (Round to two decimal places as needed.)
A. With 98 % confidence, you can say that the population variance is less than ___.
B. With 2 % confidence, you can say that the population variance is between nothing and ___ .
C. With 98 % confidence, you can say that the population variance is between ___ and ___ .
D. With 2 % confidence, you can say that the population variance is greater than ___
(b) The confidence interval for the population standard deviation is (n___,___). (Round to two decimal places asneeded.)
Interpret the results. Select the correct choice below and fill in the answer box(es) to complete your choice. (Round to two decimal places as needed.)
A. With 98% confidence, you can say that the population standard deviation is between ___ and ___ dollars per year.
B. With 98% confidence, you can say that the population standard deviation is greater than ___ dollars per year.
C. With 2% confidence, you can say that the population standard deviation is less than ___ dollars per year.
D. With 2% confidence, you can say that the population standard deviation is between ___ and ___ dollars per year.
Answer:
a
The confidence interval for the population variance is [tex] 5.49 < \sigma^2 < 37.02 [/tex]
The correct option is C
b
The confidence interval for the population standard deviation is [tex] 2.34 < \sigma < 6.08 [/tex]
The correct option is A
Step-by-step explanation:
From the question we are told that
The sample size is n = 14
The standard deviation is [tex]s = \$3.42[/tex]
Generally the degree of freedom is mathematically represented as
[tex]df = 14 -1[/tex]
=> [tex]df = 13 [/tex]
Given that the confidence level is 98% then that level of significance is
[tex]\alpha = (100 -98) \%[/tex]
=> [tex]\alpha = 0.02[/tex]
Generally the 98% confidence interval for the variance is mathematically represented as
[tex]\frac{(n- 1) s^2}{x^2 _{[\frac{\alpha }{2} , df]}} < \sigma^2 < \frac{(n- 1) s^2}{x^2 _{[1- \frac{\alpha }{2} , df]}}[/tex]
=> [tex]\frac{(14- 1) (3.42)^2}{x^2 _{[\frac{0.02 }{2} , 13]}} < \sigma^2 < \frac{(14- 1) (3.42)^2}{x^2 _{[1- \frac{0.02 }{2} , 13]}}[/tex]
From the chi -distribution table
[tex]x^2 _{[1- \frac{0.02 }{2} , 13]} = 4.107[/tex]
and
[tex]x^2 _{[\frac{0.02 }{2} , 13]} = 27.689[/tex]
So
=> [tex]\frac{(14- 1) (3.42)^2}{27.689} < \sigma^2 < \frac{(14- 1) (3.42)^2}{4.107}[/tex]
=> [tex] 5.49 < \sigma^2 < 37.02 [/tex]
Generally the 98% confidence interval for the standard deviation is mathematically represented as
[tex]\sqrt{\frac{(n- 1) s^2}{x^2 _{[\frac{\alpha }{2} , df]}}} < \sigma <\sqrt{ \frac{(n- 1) s^2}{x^2 _{[1- \frac{\alpha }{2} , df]}}}[/tex]
=> [tex]\sqrt{5.49} < \sigma < \sqrt{37.02 }[/tex]
=> [tex] 2.34 < \sigma < 6.08 [/tex]
A light bulb consumes 3450 watt-hours-in 5 days and 18 hours. How many watt-hours does it consume per day
Answer:
5 days = 5 * 24 = 120 hours
120 + 18 = 138hours
3450/138 * 24 = 600 watt hours
600watt hours
) A watershed experiences a rainfall of 8 inches. What is the runoff volume when the curve number is 80
Answer:
5.625 inches
Step-by-step explanation:
Given that:
Total Rainfall in inches (P) = 8 inches
The runoff volume (in inches) Q = ???
The curve number CN = 80
Recall that: The runoff volume can be calculated by using the formula:
[tex]Q = \dfrac{(P-0.2S)^2}{(P+0.8S)}[/tex] for P > 0.2S
Q = 0 for P < 0.2S
[tex]S = \dfrac{1000}{CN}-10[/tex]
where:
curve number CN = 80
[tex]S = \dfrac{1000}{80}-10[/tex]
S = 2.5 inches
Since the rainfall (P) is greater than 0.25
Then:
[tex]Q = \dfrac{(P-0.2S)^2}{(P+0.8S)}[/tex]
[tex]Q = \dfrac{(8-0.2(2.5))^2}{(8+0.8(2.5))}[/tex]
[tex]Q = \dfrac{(8-0.5)^2}{(8+2)}[/tex]
[tex]Q = \dfrac{(7.5)^2}{(10)}[/tex]
[tex]Q = \dfrac{(56.25)}{(10)}[/tex]
Q = 5.625 inches
Thus, the runoff volume = 5.625 inches
Condense to a single logarithm: 4 log9 11 - 4 log9 7.
O log9, (44/28)
O log9, (11/7)^4
O log9, (11/28)
log9 (44/7)
Answer: Log9,(11/7)^4
Step-by-step explanation:
according to the rules of logarithm
1)Subtraction sign(-) becomes division(÷),while addition(+)becomes multiplication (x)
2) the number in front of the log figure becomes an indices
Answer:
log9 (11/7)4
Step-by-step explanation:
got it right on the test
3.89×10^9 in standard form
Answer:
3890000000
Step-by-step explanation:
Plz do fast I need it for a test The front view of a tent is.shown below if a zipper.is going to be put in along the length x how long should the.zipper be
Answer:
x=15ft
Step-by-step explanation:
a^2+b^2=c^2
8^2+b^2=17^2
b^2+64=289
b^2=225
b=15
ir
Coffee costs $9 per pound. How much does 600 pounds of coffee cost?
Answer:
11.400 dollars... is the answer
Answer:
$5400
Step-by-step explanation:
9 x 600 = 5400
8) There are 6 cups of sugar in 5 batches of cookies. How many cups are in 1 poin
1 batch?
Answer:
6/5 cupsStep-by-step explanation:
[tex]6 \:cups = 5\:batches\\x\:cups = 1\:batch\\\\Cross\:Multiply\\\\5x = 6\\\\Divide\:both\:sides\:of\:the\:equation\:by\:5\\\\\frac{5x}{5} =\frac{6}{5} \\\\x = 1\frac{1}{5}[/tex]
Can someone explain the snake method, I don't understand how to do it
Answer:
x ∈ [−2; 1] ∪ 3.5Step-by-step explanation:
GivenInequality: (x-1)(x+2)(2x-7)≤0
Solution:If we solve the corresponding equation (x-1)(x+2)(2x-7)²= 0, we get roots
x = -2, 1, 3.5We need to consider the following 4 intervals:
(−∞; −2), [−2; 1], (1; 3.5), (3.5; ∞)1st interval (−∞; −2)
The expression (x-1)(x+2)(2x-7)² is positive as two of the multiples are negative and one is always positive (square number), and therefore does not satisfy the inequality.2nd interval [−2; 1]
The expression is negative as only one of the multiples is negative, and therefore the interval (−1; 2) satisfies the inequality.3rd interval (1; 3.5)
The expression is positive as all the multiples are positive. Therefore, the interval (1; 3.5) also does not satisfy the inequality.4th interval
The expression is positive as above, and therefore also does not satisfy the inequality.So, the answer to the inequality is:
x ∈ [−2; 1] ∪ 3.5An avant-garde clothing manufacturer runs a series of high-profile, risque ads on a billboard on Highway 101 and regularly collects protest calls from people who are offended by them. The company has no idea how many people in total see the ad, but it has been collecting statistics on the number of phone calls from irate viewers:
Answer and Step-by-step explanation:
Please find attached
Does anyone know this answer
HELP MEEEE
Solve 1.43p + 2.2 = -4.001. Round your answer to the nearest hundredth. Show your work.
Answer:
p = -4.33636363636
Step-by-step explanation:
subtract 2.2 from -4.001 which equals -4.001-2.2=-6.201 and divide -6.201 by 1.43p and that equals -4.33636363636 so p = -4.33636363636
if a person ran 1/2 of a mile in 1/10 of an hour. How far will the person run in one (1) hour?
Step-by-step explanation:
In 1/10 of 1hr = 1/2 mile
10*(1/10) of 1hr = 10(1/2) mile
(10/10) of 1hr = (10/2) mile
1 of 1hr = 5mile
It says, he can run 5 miles in 1 hour
Three high school participated in a study to evaluate the effectiveness of a new computer-based mathematics curriculum. Four 24-student sections of freshman algebra were available for the study. The two types of instruction (standard curriculum, computer-based curriculum) were randomly assigned to the four sections in each of the three schools. At the end of the term, a standard mathematics achievement test was given to each of the 24 students in each section.
a. Is this study experimental, observational, or mixed experimental and observational? Why?
b. Identify important factors, factor levels, and/or factor-level combinations.
c. Classify these factors as within- or between-subjects
d. what’s the dependent measures?
e. What is the basic experiment unit of study?
Answer:
Given that;
There are three high schools, each having four sections of every 24 students
the 2 types of instructions are Standard curriculum & computer based curriculum
a)
this study is experimental
this is because the study did not just observe the student's performance but randomly assign the performance to different techniques that have some certain control over the technique of teaching and then observe their performance afterwards
b)
-important factors are; high schools, instruction type and scores
- Highschool has 2 levels: level one there are three high schools, level 2 each having four sections of every 24 students
-instruction type: has one level which is divided into two namely; standard base and computer based
Scores: doesn't have levels
c)
there are 3 schools and 4 sections so the factor high school has between subjects components
factor instruction type also has between subjects because there are two different types available
there are 24 students in each section which are within subjects
d)
the score on the test is the dependent measures
e)
“STUDENT” in each section is he basic experiment unit of study
Angle 9 and angle 8 are what kind of angles? *
2
8/1
6/5
11/12
Alternate Interior Angles
Same Side Interior Angles
Corresponding Angles
Alternate Exterior Angles
What is the value of x.
Answer:
Angle 9 and Angle 8 they are the same
Step-by-step explanation:
Answer:
1,2,5
Step-by-step explanation:
which equation choice could represent the graph shown below?
Answer:
The answer is...
f(x)=(x-3)+(x+3)
I think this is the answer. I haven't done this kind of math in a while so...
The chosen equation, (x +3)(x + 3) = 0, will serve as a representation of the provided graph.
What is a Quadratic equation?ax²+bx+c=0, with a not, equals 0 is a quadratic equation, which is a second-order polynomial equation in a single variable. It has at least one solution because it is a second-order polynomial equation, which is guaranteed by the algebraic fundamental theorem. The answer could be simple or complicated.
given a Graph of a quadratic equation.
Contrarily, parabolas are used to graph quadratic equations. In other words, the data will be displayed as either an "open" or "upside-down" U-shaped curve. The graph is always quadratic if you are drawing a graph from a function and the equation involves x².
in this graph, we can observe that graph has only one root at x = -3
therefore the equation of the Given parabola is
(x + 3)² = 0
or
(x +3)(x + 3) = 0
therefore, the equation choice could represent the graph given will be (x +3)(x + 3) = 0.
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HURRY PLEASE HELP
What is the approximate distance from the origin to the point (−10, −4, 5)? Round to the nearest tenth. 4.4 units 10.4 units 11.9 units 19.0 units
The answer is 11.9 units
First you must set up the distance formula.
[tex]\sqrt[]{ (-10-0)^2+(-4-0)^2+(5-0)^2}[/tex]
Then, simplify like terms.
[tex]\sqrt{(-10)^2+(-4)^2+(5)^2}[/tex]
Next, simplify exponents.
[tex]\sqrt{100+16+25}[/tex]
Then, add like terms.
[tex]\sqrt{141}[/tex]
Finally, round to the nearest tenth.
11.9