Rewrite the expression using the
distributive property.
3(a + 2) + 4a
3a + 6 + 4a
Now combine like terms.
[?]a + [
Enter

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.

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:

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

Answer:

Short

Answer: 22.02

Step-by-step explanation:

Just add them all together.

Answer:

no solution ?

Step-by-step explanation:

Answer:

Infinitely many solutions because the system of equations are the exact same.

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]

Answer:

156/12=13

so makes 13 dollars a hour

Hope This Helps!!!

Answer:

∘g(x)=2x2−4x−3. And g∘f(x)=(2x−3)(2x−5)

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.

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 → -∞

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]

Answer:

The answer is C

Step-by-step explanation:

(I'm not completely sure)

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.

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.

Answer:

B

Step-by-step explanation:

The term in the () is usually the x coordinate, and the last term (-1) is usually the y coordinate.

Answer:

177146

Step-by-step explanation:

2 + 6 + 18 + 54 + 162 + 486 + 1458 + 4374 + 13122 + 39366 + 118098

Answer:

Step-by-step explanation:

So the final answer is $2274.

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.

Answer:

First Graph: the function is symmetrical around y axis -> Even

Second Graph: the function is neither

Answer:

288 per month i guess 17280

Step-by-step explanation:

We have: PT = NT <=> 4x - 17 = x + 10 <=> 3x = 27 <=> x = 9

=> NT = 4x - 17 = 4.9 - 17 = 19

Δ RNT have:

[tex]RT^2 = NT^2 -RN^2 =19^2 -14^2=165\\=>RT=\sqrt{165} [= 12.84523258][/tex]

Ok done. Thank to me :>

Answer:

To go to (-7,0) on a graph on the x axis go to the left 7 times and plot your point

Step-by-step explanation:

[tex] \: \: \: \: [/tex]

Answer: 68%

Step-by-step explanation:

The best way to do this is add up the number of math and history rooms, and divide that by the total number of rooms.

There are 17 total math and history rooms, and 25 rooms total.

17/25 = .68

Multiply that by 100 to get the percent and the answer is 68%