Ella takes 1 3/5 hours to complete a
painting. Holly takes 3/4 of the time that
Ella takes. How long will Holly take to complete 5 paintings?

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: No.

Step-by-step explanation:

If you multiply 1001 by 1001 it's not another palindromic number.

Answer:

y=2

y=4

y=6

y=8

Step-by-step explanation:

please mark brainlist

Answer:

7.00+2.00=9.00

2.00-7.00=5.00

Answer:

X miles ( 35, 125, 265, 310)

m = 35 + 45x

755

Step-by-step explanation:

Hope this helps, btw have an awesome day

[tex]\huge\underline\mathtt\colorbox{cyan}{3-7}[/tex]

Step-by-step explanation:

The correct interpretation of 3+(-7) is 3-7, simply

Answer:

The answer will be

3+(-7)

The sum of positive and negative is negative

So 3+(-7) is 3-7

= -4

Step-by-step explanation:

Hope it helps

Please Mark as brainliest

337.5 miles, or 337 miles!

Answer: It will be able to travel 162 miles

Step-by-step explanation:

Answer:

A

D

B

C

Step-by-step explanation:

We can simplify the expressions for easier comprehension:

A. 60.7 x 10^-1 = 6.07

B. 6.07 x 10^3 = 6,070

C. 0.67 x 10^4 = 6,700

D. 6.7 x 10^2 = 670

Now, we can order them in ascending order (least to greatest):

A

D

B

C

Answer:

11/3 = 3 2/3 innings

Step-by-step explanation:

3 pitchers = 11 innings

1 pitcher = x innings

in the first equation, divide both sides by 3 to get 1 pitcher on one side

1 pitcher = 11/3 innings = 3 2/3 innings

Answer:

y = -9x + 18.

Step-by-step explanation:

The general form is y = mx + c , where m = the slope and c = y-intercept.

[tex]\huge\boxed{Hi \: there! :)}[/tex]

We are given the slope of the line: -9.

We are also given its y-intercept: 18.

Slope-Intercept Form:

[tex]\huge\sf\{y=mx+b[/tex]

Where

m is the slope and b is the y-intercept.

Plug in the values:

y=-9x+18

[tex]\huge\boxed{Therefore, \: our \: equation \: is: y=-9x+18}[/tex]~An Unknown Dreamer

Good luck!

Answer:

O

2

4

6

8

10

12

Determine the five-statistical summary of the data. Drag the correct number to each variable in the summary.

14

16

18

20

22 24 26

28

30

Minimum:

Maximum:

Median:

First Quartile:

Third Quartile:

1

2

3

4

11

5

12

6

ما تا ته

13

14

8

21

15

22

16

10

23

17

24

18

25

19

26

20

27

28

29

30

Please answer fast

Answer:

final balance = 24,634.02

compound interest = 19,634.02

Step-by-step explanation: not my answer

Answer:

Step-by-step explanation:

To calculate the area of a triangle, multiply the height by the width (this is also known as the 'base') then divide by 2

(11 * 18) : 2 =

198 : 2 =

99 cm²

Answer:

Since the centre of the circle is (−4,−5) and its radius =6

Then, the equation of the circle is

⇒(x−(−4))

2

+(y−(−5))

2

=6

2

⇒(x+4)

2

+(y+5)

2

=36

⇒x

2

+8x+16+y

2

+10y+25−36=0

⇒x

2

+y

2

+8x+10y+5=0

Step-by-step explanation:

Paki brainlilest na lng po salamaf

Answer:

Discriminant is [tex] {b}^{2} - 4 \times a \times c [/tex]

[tex]16 - 4 \times 4 \times 1 = 0[/tex]

Answer:

no solution

Step-by-step explanation:

hope this helps! :D

have a miraculous day!! <3

1.23 would be your answer.

Have a great day! :)

The Formula:

t = cn + 42

The slope of the line represents that the remainder of the goal decrease by 8 for each card sold.

A linear equation is in the form:

y = mx + b

where y, x are variables, m is the slope of the line and b is the y intercept.

The line passes through the point (1, 8) and (2, 16), hence:

[tex]y-y_1=\frac{y_2-y_1}{x_2-x_1} (x-x_1)\\\\y-8=\frac{16-8}{2-1}(x-1)\\\\y=8x[/tex]

The equation of the line is given by y =8x

Find out more about linear equation at: https://brainly.com/question/14323743

Find out more on linear equation at: https://brainly.com/question/14323743

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20

Answer:

1

Step-by-step explanation:

First, find out what the product would be if you multiply 20 with the fraction:

(3 * 20)/5 = 60/5 = 12

12 = 12 ∴ (3/5)(20) = 12

As 20 is your answer, you would need to only multiply 1 to obtain the correct balance for the equation.

The average yearly growth rate of the height of the tree is 2 1/3 feet

Given:

original height of the pine tree = 40 1/2 feet

Height in next 7 1/2 years = 57 feet

Change in height = Height in next 7 1/2 years - original height of the pine tree

= 57 height - 40 1/2 feet

= 17 1/2 feet

Average growth rate yearly = Change in height / number of years

= 17 1/2 feet ÷ 7 1/2 years

= 35/2 ÷ 15/2

= 35/2 × 2/15

= (35 × 2) / (2 × 15)

= 70/30

= 2 10/30

= 2 1/3 feet

Therefore, the average yearly growth rate of the height of the tree is 2 1/3 feet

Learn more about fraction:

https://brainly.com/question/1622425

Answer:

Step-by-step explanation:

0.2(d - 6) = 0.3d + 5 - 3 + 0.1d

0.2d - 1.2 = 0.4d + 2

     - 0.2d = 3.2

           d = - 16

Answer:

d = -16

Step-by-step explanation:

[tex]0.2(d-6)=0.3d+5-3+0.1d\\\rule{150}{0.5}\\0.2d - 1.2 = 0.3d+5-3+0.1d\\\\0.2d - 1.2 = 0.3d+0.1d+ 5-3\\\\0.2d - 1.2=0.4d + 2\\\\0.2d- 0.2d - 1.2 = 0.4d -0.2d + 2\\\\-1.2 = 0.2d + 2\\\\-1.2 -2 = 0.2d + 2 - 2\\\\-3.2 = 0.2d\\\\\frac{-3.2 = 0.2d}{0.2}\\\\-16 = d\\\\\boxed{d = -16}[/tex]

Answer:

-9.6

Step-by-step explanation:

92-44/17-21

Answer:

-12

Step-by-step explanation:

Formula:

[tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

Identify the values:

[tex]y_2=44[/tex]

[tex]y_1=92[/tex]

[tex]x_2=21[/tex]

[tex]x_1=17[/tex]

Plugin the values; solve:

[tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

[tex]\frac{44-92}{21-17}[/tex]

[tex]= \frac{-48}{4}[/tex]

[tex]\bold{m=-12}[/tex]

Therefore, the slope of the line containing the points (17,92) and

(21, 44) is -12.

Root x= 3 of multiplicity 2, it means we can factor it with : (x-3)²

Root x = 1, of multiplicity 1, it means we can factor this polynomial with : (x-1)

Root x = -3, of multiplicity 2, it means we can factor this polynomial with : (x+3)²

Finally we get this expression : (x-3)²(x+3)²(x-1)

This expression is a polynomial of degree 5 but what is the y intercept of it ?

Basically, we need to replace x by zero and the value of the expression will be the y intercept :

let x = 0

then ,

(0-3)²(0+3)²(0-1) = 9*9*(-1) = -81 #-162

We need an y intercept of value = -162

Thus we simply need to multiply by 2, and finally f(x) = 2(x-3)²(x+3)²(x-1)

satisfies all the required condition

Good Luck

Answer:

y=1/3x-8

Step-by-step explanation:

The slope intercept form of a line is y=mx+b

m stands for slope and b stands for y intercept

So ... simply put 1/3 in for m and -8 in for b

Answer:

Step-by-step explanation:

Look at the picture.

(x, y)

left 1 unit: (5 - 1 = 4)

up 1 unit: (0 + 1 = 1)