Answer: A
Step-by-step explanation:
Subtract 12 from both sides:
y + 15 - 15 < 3 - 15
Simplify:
y < -12
Determine if these functions are even, odd, or neither
Answer:
First Graph: the function is symmetrical around y axis -> Even
Second Graph: the function is neither
. In a study of air-bag effectiveness it was found that in 821 crashes of midsize cars equipped with air bags, 46 of the crashes resulted in hospitalization of the drivers (based on data from the highway Loss Data Institute). Using a 0.01 significance level, you need to test the claim that the air-bag hospitalization rate is lower than the 7.8% rate for crashes of mid-size cars equipped with automatic safety belts. What conclusion should you make
Answer:
P(X ≤ 46 | X~B(821, 0.078)) = 0.00885745584
0.00885... < 0.01
The test statistic of 46 is significant
There is sufficient evidence to reject H₀ and accept H₁
Air bags are more effective as protection than safety belts
Step-by-step explanation:
821 crashes
46 hospitalisations where car has air bags
7.8% or 0.078 probability of hospitalisations in cars with automatic safety belts
α = 0.01 or 1% ← level of significance
One-tailed test
We are testing whether hospitalisations in cars with air bags are less likely than in a car with automatic safety belts;
The likelihood of hospitalisation in a car with automatic safety belts, we are told, is 7.8% or 0.078;
So we are testing if hospitalisations in cars with air bags is less than 0.078;
So, firstly:
Let X be the continuous random variable, the number of hospitalisations from a car crash with equipped air bags
X~B(821, 0.078)
Null hypothesis (H₀): p = 0.078
Alternative hypothesis (H₁): p < 0.078
According to the information, we reject H₀ if:
P(X ≤ 46 | X~B(821, 0.078)) < 0.01
To find P(X ≤ 46) or equally P(X < 47), it could be quite long-winded to do manually for this particular scenario;
If you are interested, the manual process involves using the formula for every value of x up to and including 46, i.e. x = 0, x = 1, x = 2, etc. until x = 46, the formula is:
[tex]P(X = r) = nCr * p^{r} * (1 - p)^{n - r}[/tex]
You can find binomial distribution calculators online, where you input n (i.e. the number of trials or 821 in this case), probability (i.e. 0.078) and the test statistic (i.e. 46), it does it all for you, which gives:
P(X ≤ 46 | X~B(821, 0.078)) = 0.00885745584
Now, we need to consider if the condition for rejecting H₀ is met and recognise that:
0.00885... < 0.01
There is sufficient evidence to reject H₀ and accept H₁.
To explain what this means:
The test statistic of 46 is significant according to the 1% significance level, meaning the likelihood that only 46 hospitalisations are seen in car crashes with air bags in the car as compared to the expected number in car crashes with automatic safety belts is very unlikely, less than 1%, to be simply down to chance;
In other words, there is 99%+ probability that the lower number of hospitalisations in car crashes with air bags is due to some reason, such as air bags being more effective as a protective implement than the safety belts in car crashes.
In class A, 17 students in a class of 25 passed an exam. In class B, 13 out of 20 passed. In class C, 7 out of 10 passed. Which class is the best class?
Answer:
class C
Step-by-step explanation:
a=(17/25)=0.68
b=(13/20)=0.65
c=(7/10)=0.7
A. The graph shows how much money Farrah has in her savings account after weeks of saving on a regular basis. How much money does Farrah have in her savings account after 10 weeks of saving?
Answer:
Step-by-step explanation:
wheres the graph
Answer:
How much money does priya have after 10 weeks? 320
How long did it take her to save 200? 5
How much did priya have in her savings account when she started to save regularly? 80
Step-by-step explanation:
Solve
[tex]\frac{a-1}{a-3} =\frac{a+1}{a-4}[/tex]
Answer:
[tex]a=\frac{7}{3}[/tex]
Step-by-step explanation:
[tex]\frac{a-1}{a-3}=\frac{a+1}{a-4}[/tex]
[tex](a-1)(a-4)=(a-3)(a+1)[/tex]
[tex]a^2-5a+4=a^2-2a-3[/tex]
[tex]-5a+4=-2a-3[/tex]
[tex]-3a+4=-3[/tex]
[tex]-3a=-7[/tex]
[tex]a=\frac{7}{3}[/tex]
4. Write an equation of the vertical line that passes through the point (-2,-8)
If Justin raves his Chevy Camaro south down 1-540 for 2560 meters in 60 seconds, what is his velocity?
Question
Evelyn placed $1500 in a savings account which earns 5.2% interest, compounded continuously,
How much will she have in the account after 8 years?
Round your answer to the nearest dollar
DO NOT round until you have calculated the final answer.
Answer:
Step-by-step explanation:
So the final answer is $2274.
Tesses ging for a maik. She waiks 125 miles in 5 hours. What is her speed?
Answer:
25 miles/hour
Step-by-step explanation:
If you were to divide 125 by 5, you would get 25 miles per each hour as your answer. Brainless if I am correct.
NO LINKS!!
Which type of comic does not have vertices or foci?
Answer:
b) Circle
Step-by-step explanation:
All of the conic sections have vertices and foci. These features are not usually talked about for a circle, so perhaps "circle" is the expected answer.
__
A circle is a special case of ellipse with eccentricity 0. Its foci are coincident at its center, and its vertices are the ends of any pair of perpendicular diameters.
What is the value of 1/6 with an exponent of 0
In the typing World 120 words in 3 minutes is average how many words could they type in 2 hours
Answer:
7,200 words
Step-by-step explanation:
Answer: 4,800
I multiplied 120 by 20 because 60 divided by 3 is 20. Then I multiplied my answer by 2 because the question is asking how many words could they type in 2 hours
i really need help please
Answer:
207+ 364 = 571
Step-by-step explanation:
i guess?._.
Find the sum of the first 11 terms of the geometric sequence shown below.
2, 6, 18, 54, ...
Answer:
177146
Step-by-step explanation:
2 + 6 + 18 + 54 + 162 + 486 + 1458 + 4374 + 13122 + 39366 + 118098
log, a Consider the graph of the function f 2- X O -2 2 4 6 8 10 -2 - What are the features of function gif g(t) = -|(r) - 1; oyintercept at (0,-1) X-intercept at (1,0) range of (-1,00) domain of (0, 0) vertical asymptote of g = 0
Answer:
X-intercept at (1/2 ,0)
domain of (0, infinity)
Vertical asymptote of x = 0
Step-by-step explanation:
Plato I got it right on the test
A mother earned $8750 from royalties on her cookbook. She set aside 20% of this for a down payment on a new home. The balance will be used for her son's future education. She invests a portion of the money in a bank certificate of deposit (CD account) that earns 4% and the remainder in a savings bond that earns 7%. If the total interest earned after one year is $420, how much money was invested at each rate?
Answer:
Step-by-step explanation:
The problem statement is not clear regarding which money is invested. We will assume it is the 80% of $8750 that is set aside for future education. That amount is
... 0.80 × $8750 = $7000
If x represents the amount invested at 7%, then the total interest earned is
... (7000 -x)×4% + (x)×7% = 420
... 280 +0.03x = 420
... x = 140/0.03 ≈ 4666.67
$4666.67 was invested at 7%.
$2333.33 was invested at 4%.
Help me plz NO LINKS
Thanks.
Answer:
2nd answer choice
Step-by-step explanation:
We want to know which one does not have a two digit quotient, or answer. Let us use guess and check since there are only 4 options.
Option 1:
519/6=86 R3
This answer is wrong because it has a two digit quotient
Option 2:
915/7=130 R5
This answer is correct since it has a three digit quotient, but let's find the rest
Option 3:
439/7=62 R5
This answer is wrong because it has a two digit quotient
Option 4:
812/9=90 R2
This answer is wrong because it has a two digit quotient
Therefore option 2 is correct
I will like to know what you need help with?
!!!! Which equation represents the graph shown? PLEASE HELP ASAP!!!
Answer:
y= 2x +1
Step-by-step explanation:
Slope-intercept form
y= mx +c, where m is the gradient and c is the slope.
Since all the slope in the options are the same, let's focus on the y-intercept. From the graph, the line cuts through the y-axis at y= 1. Thus, the y- intercept is 1.
Hence, y= 2x +1 is the correct option.
Extra notes:
[tex]\boxed{ slope = \frac{y _{1} - y_2 }{x_1 - x_2} }[/tex]
Jessica made $156 for 12 hours of work.
At the same rate, how much would she make for hours of work?
Answer:
156/12=13
so makes 13 dollars a hour
Hope This Helps!!!
determine the right and left hand behavior of the graph of the following functions.
[tex]f(x)=6-2x+4x^{2} -5x^{3}[/tex]
Answer:
x → -∞, y → ∞
x → ∞, y → -∞
Step-by-step explanation:
The function is odd degree with a negative leading coefficient. Its shape is generally down to the right (\). The end behavior will be ...
x → -∞, y → ∞
x → ∞, y → -∞
Show work on the graph pls help I’ll brainlest ASAP
Answer:
Slope (known as m) = -3/2; Y-int (known as b) = 3
Step-by-step explanation:
m = [tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]
m = [tex]\frac{{0}-{3}}{{2}-{0}}[/tex]
m = [tex]\frac{-3}{2}[/tex]
b = [tex]3[/tex]
Line j has an equation of y = 1/5x + 7. Perpendicular to line j is line k, which passes through
the point (-1, -3). What is the equation of line k?
Write the equation in slope-intercept form. Write the numbers in the equation as simplified
proper fractions, improper fractions, or integers.
keeping in mind that perpendicular lines have negative reciprocal slopes, let's check for the slope of the equation above
[tex]\begin{array}{|c|ll} \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array}\qquad \impliedby y=\stackrel{\stackrel{m}{\downarrow }}{\cfrac{1}{5}}x+7 \\\\[-0.35em] ~\dotfill[/tex]
[tex]\stackrel{\textit{perpendicular lines have \underline{negative reciprocal} slopes}} {\stackrel{slope}{\cfrac{1}{5}}\qquad \qquad \qquad \stackrel{reciprocal}{\cfrac{5}{1}}\qquad \stackrel{negative~reciprocal}{-\cfrac{5}{1}\implies -5}}[/tex]
so then line K has a slope of -5 and pass through (-1, -3)
[tex](\stackrel{x_1}{-1}~,~\stackrel{y_1}{-3})\qquad \qquad slope=m=-5 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{(-3)}=\stackrel{m}{-5}[x-\stackrel{x_1}{(-1)}] \\\\\\ y+3=-5(x+1)\implies y+3=-5x-5\implies y=-5x-8[/tex]
What is the value of x?
Answer:
x = 10.
Step-by-step explanation:
(5x-1) + (8x+5) + (4x+6) = 180 (the 3 angles in a triangle sum to 180 degrees).
5x + 8x+ 4x - 1 + 5 +6 = 180
17x + 10 = 180
17x = 170
x = 10.
A car is traveling at 25 miles per hour during rush hour. How far does the car travel in
2 minute and 45 seconds?
Answer: 1.14583333333 miles
Step-by-step explanation: divide 25/21.81818181818182
The car will travel 1.15 miles in 2 minutes 45 secs
if a car is traveling at 25 miles per hour, the amount of time the car travels in secs is 3600secs
25 miles = 3600secs
To get the distance traveled in 2 minutes 45 secs, we can write;
x = 165 secs
Divide both expressions
25/x = 3600/165
3600x = 25 * 165
3600x = 4125
x = 1.15 miles
Hence the car will travel 1.15 miles in 2 minutes 45 secs
LEarn more on speed here: https://brainly.com/question/10113134
Please help
Find the mean
of the data.
Data: 46 22 46 49 45 39 40 42 41 39 40 36
Answer:
40.083
Step-by-step explanation:
The mean is the average of the numbers. It is easy to calculate: add up all the numbers, then divide by how many numbers there are. In other words it is the sum divided by the count.
m^(2)n+2m^(3) if m=-0.2 and n=-9.6
Hey there!
m^(2)n + 2m^3
= -0.2^(2)(-9.6) + 2(-0.2)^3
= (-0.04)(-9.6) + 2(-0.3)^3
= 0.384 + 2(-0.008)
= 0.384 - 0.016
= 0.368
Therefore, your answer is: 0.368
Good luck on your assignment and enjoy your day!
~Amphitrite1040:)
[tex]\huge{\purple{\underline{\underline{\bf{\pink{ANSWER:-}}}}}}[/tex]
[tex]\implies\tt{ {m}^{2n} + {2m}^{3} } \\ \\ \implies\tt{ { - 0.02}^{ 2 \times - 9.6} + 2 {( - 0.02)}^{3} } \\ \\ \implies\tt{ - 0.04 \times - 9.6 + 2( - 0.0008)} \\ \\ \implies\tt{0.384 - 0.016} \\ \\ \implies\tt{0.368}[/tex]
I’m not sure how to solve this, anyone know?
Answer:
A' = (-4, 7)
B' = (3, 5)
C' = (1, 2)
Step-by-step explanation:
The question is asking you to translate the function by adding 4 to the x-value of each point and 2 to the y-value of each point.
I didn't double-check my math, but since the question is asking for an ordered pair, this should be correct.
1.) Write .378 as a fraction in simplest form
a linear function yand x has graduent -6/7 and y-intercept 8. write down the equation of the function.
Answer:
y = - 6/7x + 8Step-by-step explanation:
The slope- intercept form is:
y = mx + b, where m is the slope (or gradient) and b is the y-interceptWe have:
m = - 6/7 and b = 8The line is:
y = - 6/7x + 8A recipe for lemonade called for 1 cup of sugar and 5cups of water.How much sugar is used per cup of water