The number of runners in the London Marathon on 25th April, 2010 was 37 527.

Work out an estimate for the number of these runners whose birthday was on that day.

Answers

Answer 1

Answer:

Hi 34

Step-by-step explanation:

Hi


Related Questions

The answer to this question please.

Answers

Answer:

Part A) y=1,100x + 4,500

Part B) 14,400

Step-by-step explanation:

Part A)

There is a base fee of $4,500, meaning that the line begins at y=4500 (i.e. The y-intercept is [0,4500], so 'b' in y=mx+b is 4,500). There is a $1,100 hourly rate, which is proportional to the value of x, the amount of hours filmed. Therefore, 'm' in y=mx+b is $1,100.

Thus, the final equation looks like:

y= 1,100x + 4,500

Part B)

x=9

y=1,100x+4,500

y=1,100(9)+4,500

y=9,900+4,500

y=14,400

Find first derivative of f(x)=(x+1)(2x-1)

Answers

Answer:

[tex]4x-1[/tex]

Step-by-step explanation:

In Example 9.2 (p. 214), if you instead carried the suitcase by the handle so that the suitcase was hanging directly at your side, how much work would you do on the suitcase as you carried it forward at a constant walking speed

Answers

9514 1404 393

Answer:

  none

Step-by-step explanation:

No work is required to maintain an object at a constant speed with no change in direction. Work is only done when an object is accelerated, or moved some distance in the direction of the net force applied.

you would do no work

Question 8
A student earned 30 out of 35 points on a
the total points did the student earn? Round it off to the nearest precent

Answers

The percent is 85.71% so the rounded answer would be be 86%
To do this put into the calculator 30 divided by 35, which will get you about 0.8571 and for percentage you multiply it by hundred so that will get you about 85.71% and then round it to the nearest percentage, and since 7 is greater then 5 you would round up so your rounded percentage would be 86%

An analyst has developed the following probability distribution for the rate of return for a common stock.
Scenario Probability Rate of Return
10 0.34 -19%
20 0.48 8%
30 0.18 26%
a. Calculate the expected rate of return. Round your answer to 2 decimal places.
b. Calculate the variance and the standard deviation of this probability distribution. Use the percentage values for your calculations (for example 10% not 0.10). Round intermediate calculations to 4 decimal places.

Answers

Answer:

a) 2.06

b) variance = 270.90 , std = 275.14

Step-by-step explanation:

a) Determine Expected rate of return

attached below is the calculated table for the solution provided

∴ Expected rate of return = ∑ Xp(x) = -6.46 + 3.84 + 4.68 = 2.06

b) Determine the variance and standard deviation

Variance ( Vx ) = E(x)^2 - [ Expected rate of return ]^2

                         = 275.14 - ( 2.06 )^2 ≈ 270.90

standard deviation = √ variance = √270.90 = 16.459

note : E(x)^2 = ∑ x^2 p(x) = 275.14

7 root 3 by 3 minus 3 root 2 by root 15 minus 3 root 2 minus 2 root 5 by root 6 + root 5 ​

Answers

Answer:

Hill doctoral tricot trivial paint Tahiti he who Olney of Accokeek if Dogtown k park pectin rabbit tabernacle numbed.

This table shows how many male and female students attended two different
movies.
What is the probability that a randomly chosen person from this group is male
and attended an action movie?
Round your answer to two decimal places.
Action
Drama
Total
Mala
105
124
229
Female
99
151
250
Total
204
275
479
A. 0.11
B. 0.43
Ο Ο Ο Ο
C. 0.22
D. 0.52

Answers

Answer:

Male & action movie among a group of total 479

Step-by-step explanation:

We only choose male from action movie category so:

p = 105/ 479 = 0.22

The probability that a randomly chosen person from this group is male and attended an action movie will be 0.22. Then the correct option is C.

What is probability?

Its basic premise is that something will almost certainly happen. The percentage of favorable events to the total number of occurrences.

This table shows how many male and female students attended two different movies.

                   Action      Drama          Total

Mala             105            124              229

Female         99             151               250

Total            204           275              479

Then the probability that a randomly chosen person from this group is male and attended an action movie will be

Favorable event = 105

Total event = 479

Then the probability will be

P = 105 / 479

P = 0.219

P ≈ 0.22

Then the correct option is C.

More about the probability link is given below.

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solve this set of equation, using elimination or substitution method.

Answers

Answer of the set is x=-11.2 and y=3

Answer:

X =224

Y= -10

Step-by-step explanation:

To solve this question it's better to convert the fractions to decimals this way it will be easy to solve.

0.25x+0.6y= -4

0.2x+0.25y=-0.9

0.2(0.25x+0.6y=-4)

0.25(0.2x+0.25y=-0.9)

0.05x+0.12y=-0.8

0.05x+0.06y=-0.225

0.0575y/0.0575=-0.575/0.0575

Y=-10

To find x you replace the value of y in any of the equations

0.25x+0.6y=-4

0.25x+0.6(-10)=-4

0.25x=-4+60

0.25x/0.25=56/0.25

X=224

I hope this helps and sorry if it's wrong

When a number is tripled, its value increases by 10. What is the original value?​

Answers

[tex]3x=x+10[/tex]

We tripple something and get 10 more than something.

Put the x-es on the left and non x-es to the right,

[tex]2x=10[/tex]

Divide both sides by 2,

[tex]x=5[/tex]

Et Viòla.

Hope this helps :)

When a number is tripled, its value increases by 10 then the original number is 5.

Let's call the original number "x". According to the problem, when this number is tripled, its value increases by 10. Mathematically, we can represent this as an equation:

3x = x + 10

Now, we can solve for "x" step by step:

1. Subtract "x" from both sides of the equation:

  3x - x = 10

2. Simplify the left side:

  2x = 10

3. Divide both sides by 2 to solve for "x":

  x = 10 / 2

  x = 5

So, the original number "x" is 5.

In other words, if you take a number, triple it (multiply by 3), and then increase the result by 10, you would end up with the value 5. This can be verified by checking:

3 * 5 = 15

15 + 10 = 25

The equation 3x = x + 10 represents the relationship between the original number and its tripled value with an increase of 10. Solving this equation helps us find the original value that satisfies the given condition.

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at a local college, four sections of economics are taught during the day and two sections are taught at night. 85 percent of the day sections are taught by full-time faculty. 30 percent of the evening sections are taught by full-time faculty. if jane has a part-time teacher for her economics course, what is the probability that she is taking a night class

Answers

Answer:

Hence The probability that she is taking a night​ class given that Jane has a​ part-time teacher = P(jane has a part-time teacher and she is taking night class )/P(jane has a part-time teacher)    = 0.6999.

Step-by-step explanation:  

Probability(full-time teacher/ day ) = 0.85  

Probability(part-time teacher/ day ) = 1- 0.85 = 0.15  

Probability(full-time teacher/ night) = 0.30  

Probability(part-time teacher/ night) = 1 - 0.30 = 0.70  

total no of section = 4+2 = 6  

P(jane has part time teacher) = P(jane is from day section)*Probability(part-time teacher/ day )+P(jane is from night section)*Probability(part-time teacher/ night)  

= (4/6)(0.15)+(2/6)(0.70) = 0.33  

P(jane has part time teacher and she is taking night class ) = P(jane is from night section)*Probability(part-time teacher/ night) = (2/6)(0.70) = 0.23  

According to Bayes theorem :    

The probability that she is taking a night​ class given that Jane has a​ part-time teacher = P(jane has a part-time teacher and she is taking night class )/P(jane has a part-time teacher)  

= 0.23/0.33  

= 0.6999

How many numbers multiple of 3 are in the range [2,2000]?

Answers

Answer:

There are 666 numbers multiple of 3 in the interval.

Step-by-step explanation:

Multiples of 3:

A number is a multiple of 3 if the sum of it's digits is a multiple of 3.

Range [2,2000]:

First multiple of 3 in the interval: 3

Last: 1998

How many:

[tex]1 + \frac{1998 - 3}{3} = 1 + 665 = 666[/tex]

There are 666 numbers multiple of 3 in the interval.

A number plus 16 times its reciprocal equals 8. Find all possible values for the number.

Answers

Answer:

4

Step-by-step explanation:

[tex]n+16\frac{1}{n} = 8\\\\n^2+16=8n\\n^2 -8n+16=0\\[/tex]

Factorizing we get the answer 4

Which number shows four hundredths
.004 .04 .400 4.00

Answers

Answer:

hello the answer is .04/0.04

Answer:

.04 is four hundredths

Step-by-step explanation:

I hope this helps

Can somebody help me

Answers

Answer:

The x interceprs are (-3,0) and (2,0)

Step-by-step explanation:

The reason is that when you plug in a -3 in the left parentheses it would become 0, and any number times 0 would be zero, making the equation equal to zero. The same would be true for the terms in the right parentheses, plugging in a two would make it equal to zero. This would make the entire equation equal to zero, finding you the x intercepts.

Solve by elimination.
16x – 8y = 16
8x – 4y = 8
A. infinite number of solutions
B. (-2,-5)
c. (-20, -4)
R. (2,0)

Answers

Answer:

Step-by-step explanation:

16x-8y = 16 ⇒ 8x - 4y = 8, which is identical to the second equation.

The equations are equivalent, so there are an infinite number of solutions.

If K = (AB)/(A+B) , then B = ?

(a) (A)/(1−A)
(b) (AK)/(A−K)
(c) (AK)/(K−A)
(d) (A+K)/(A)
(e) (A−K)/(AK)

Answers

Lets do

[tex]\\ \sf\longmapsto K=\dfrac{AB}{A+B}[/tex]

[tex]\\ \sf\longmapsto \dfrac{1}{K}=\dfrac{A+B}{AB}[/tex]

[tex]\\ \sf\longmapsto \dfrac{1}{K}=\dfrac{1}{A}+\dfrac{1}{B}[/tex]

[tex]\\ \sf\longmapsto \dfrac{1}{B}=\dfrac{1}{K}-\dfrac{1}{A}[/tex]

[tex]\\ \sf\longmapsto \dfrac{1}{B}=\dfrac{K-A}{AK}[/tex]

[tex]\\ \sf\longmapsto B=\dfrac{AK}{K-A}[/tex]

If my savings of $x grows 10 percent each year, how much will i have in 2 years?

Answers

Answer:

20 percent

Step-by-step explanation:

Each year is 10 percent so 10x2 or 10+10 will equal 20

What is the sum of 2 and 3 subtracted from the product of 2 and the difference of 7 and 4? The answer is 1, but how is it solved?

Answers

Answer: -1

Step-by-step explanation:

sum of 2 and 3   subtracted   from the product of 2    difference of 7 and 4

            (2+3)            -                         2                                 (  7    -    4   )   =  -1  

       (2+3)-2(7-4) =

        5 - 2(3) =

         5-6 = -1

The sum of 2 and 3 subtracted from the product of 2 and the difference of 7 and 4 is equivalent to 1.

What is Equation Modelling?

Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.

We have the sum of 2 and 3 subtracted from the product of 2 and the difference of 7 and 4

From the question, we can model the equation as -

x = 2 × (7 - 4) - (2 + 3)

x = 2(3) - 5

x = 6 - 5

x = 1

Therefore, the sum of 2 and 3 subtracted from the product of 2 and the difference of 7 and 4 is equivalent to 1.

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scientist has two solutions, which she has labeled solution a and solution b. solution a is 60% salt and solution b is 85% salt. she wants to obtain 140 ounces of mixture that is 80% salt. How many ounces of each solution should she use?

Answers

Answer:

We have 60% salt and 85% salt solutions and we need 140 ounces of a solution that is 80% salt.

We set up 2 equations:

A) x + y = 140

B) .60x + .85y = .80 * 140

Multiply equation A) by -.60

A) -.60x -.60y = -84  then we add this to B)

B) .60x + .85y = 112

.25y = 28

y = 112 ounces of 85% salt

x = 28 ounces of 60% salt.

Double Check

112 * .85 = 95.2 AND 28 * .60 = 16.80

95.2 + 16.80 = 112

and 112/140 = 80 per cent!!

Source: http://www.1728.org/mixture.htm

 

Step-by-step explanation:

Answer is D , others say it’s 64 but I got it wrong

Answers

Answer:

Oh no I am sorry! If you want answers to be done the real way let me know

Answer:I'm so sorry for you but congrats you did get the answer right it's just the test I guess

Step-by-step explanation:

HELP!!!!! ASAP I'm getting confused and It's to long to solve it online!

Answers

Answer:

Step-by-step explanation:

Find the quotient of 68.4 ÷ 18 = ________. Use an area model to help you solve. (this is on flvs by the way) answers:
3.3
3.5
3.8
3.9

Answers

Answer:

C

Step-by-step explanation:

3.8 is the answer

68.4÷18=3.8

Which choice shows 14•(8 · 2) correctly rewritten using the associative property and then correctly simplified?
(14.8) · 2 = 112 · 2 = 224
(14 . 82) = 1, 148
14. (2.8) = 14 - 16 = 224
14.2.8 = 28. 8 = 224

Answers

Answer:

14.(8.2)= 14.16 = 224

Step-by-step explanation:

the answer is the first one

Please help with this

Answers

Answer:

2. Not Divisible

3. Divisible

4. Divisible

5. Divisible

6. Not Divisible

7. Divisible

Step-by-step explanation:

Question 2. Is 629,257 divisible by 5?

- Numbers that are divisible by 5 should end with either 5 or 0.

- The ending term of [629,257] is 7, which is neither 5 nor 0. Therefore, it is not divisible.

Question 3. Is 3,791,916 divisible by 2?

- Numbers that are divisible by 2 should end with an even number or 0, which include 0, 2, 4, 6, 8.

- The ending term of [3,791,916] is 6, which is an even number. Therefore, it is divisible.

Question 4. Is 63,726,125 divisible by 5?

- Numbers that are divisible by 5 should end with either 5 or 0.

- The ending term of [63,726,125] is 5. Therefore, it is divisible.

Question 5. Is 486,342 divisible by 3?

- In numbers that are divisible by 3, the sum of all digits is a multiple of 3.

- The sum of all digits of [486,342] is [4 + 8 + 6 + 3 + 4 + 2 = 27].

- 27 / 3 = 9

- Since the sum of all digits is divisible by 3, then 486,342 is divisible by 3.

Question 6. Is 474,493 divisible by 10?

- Numbers that are divisible by 10 should end with 0.

- The ending term of [474,493] is 3, which is not 0. Therefore, it is not divisible.

Question 7. Is 53,017,587 divisible by 9?

- In numbers that are divisible by 9, the sum of all digits is a multiple of 9.

- The sum of all digits of [53,017,587] is [5 + 3 + 0 + 1 + 7 + 5 + 8 + 7 = 36].

- 36 / 9 = 4

- Since the sum of all digits is divisible by 9, then 53,017,587 is divisible by 9.

rút gọn :
(x+2)^2+(3-x)^2= ?

Answers

Step-by-step explanation:

=x^2+2x+4+9-6x+x^2

=2x^2-4x+13

Assume you are selling pizzas at $ 8 per pizza. Your fixed costs (rent, salaries, and utilities) are $4,438/month. The food costs and other variable costs are 40 percent of the selling price. What is your break-even point in units if you need to make 25% target return on the sales revenue? (enter only the value)

Answers

A company breaks even for a given period when sales revenue and costs incurred during that period are equal. Thus the break-even point is that level of operations at which a company realizes no net income or loss.

A company may express a break-even point in dollars of sales revenue or number of units produced or sold. No matter how a company expresses its break-even point, it is still the point of zero income or loss.

In order to grasp the concept of breakeven, it’s important to understand that all costs are not created equal: Some are fixed, and some are variable. Fixed Costs are expenses that are not dependent on the amount of goods or services produced by the business. They are things such as salaries or rents paid per month. If you own a car, then your car payment and insurance premiums are fixed costs because you pay them every month whether you drive your car or not. Variable Costs are volume related and are paid per quantity or unit produced. For your car, your variable costs are things like gas, maintenance, or tires because you only incur these costs when you drive your car. The more miles you drive, the more your gas expenses go up—such costs vary with the level of activity.

Before we turn to the calculation of the break-even point, it’s also important to understand contribution margin.

The Cinci Company issues $100,000, 10% bonds at 103 on October 1, 2020. The bonds are
dated January 1, 2020 and mature eight years from that date. Straight-line amortization is used.
Interest is paid annually each December 31. Compute the bond carrying value as of December
31, 2024.

Answers

According to the given values in the question:

The Amortization period is:

= [tex]8 \ years\times 12 \ months[/tex]

= [tex]96 \ months[/tex]

Number of months of Amortization is:

= [tex]3 \ months \ in \ 2020+(4 \ years\times 12 \ months)[/tex]

= [tex]3+48[/tex]

= [tex]51 \ months[/tex]

Now,

On bonds payable, the premium will be:

= [tex]Issue \ price - Face \ value[/tex]

= [tex](100000\times 103 \ percent)- 100000[/tex]

= [tex]103000-100000[/tex]

= [tex]3000[/tex] ($)

The Unamortized premium will be:

= [tex]Premium - Unamortized \ premium[/tex]

= [tex]3000-(3000\times \frac{51}{96} )[/tex]

= [tex]3000-1593.75[/tex]

= [tex]1406.25[/tex] ($)

hence,

The carrying value as of December  31, 2024 will be:

= [tex]100000+1406.25[/tex]

= [tex]101406.25[/tex] ($)

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express 24.123eight to base ten​

Answers

To convert [tex]24.123[/tex] in base 8, also notated with [tex]24.123_8[/tex] into base 10 simply multiply each digit with 8 to the power of its position relative to the decimal point.

So,

[tex]24.123_8=2\cdot8^1+4\cdot8^0+1\cdot8^{-1}+2\cdot8^{-2}+3\cdot8^{-3}=20.162109375_{10}[/tex]

Hope this helps :)

Geometry please help me!!!!

Answers

Answer:

Step-by-step explanation:

Differentiate the following Functions
5x^2-2xy + 4y^3= 5

Answers

Answer:

[tex]\displaystyle y' = \frac{y - 5x}{x + 6y^2}[/tex]

General Formulas and Concepts:

Algebra I

Terms/CoefficientsFactoring

Calculus

Differentiation

DerivativesDerivative NotationImplicit Differentiation

Derivative Property [Multiplied Constant]:                                                           [tex]\displaystyle \frac{d}{dx} [cf(x)] = c \cdot f'(x)[/tex]

Derivative Property [Addition/Subtraction]:                                                         [tex]\displaystyle \frac{d}{dx}[f(x) + g(x)] = \frac{d}{dx}[f(x)] + \frac{d}{dx}[g(x)][/tex]

Basic Power Rule:

f(x) = cxⁿf’(x) = c·nxⁿ⁻¹

Derivative Rule [Product Rule]:                                                                             [tex]\displaystyle \frac{d}{dx} [f(x)g(x)]=f'(x)g(x) + g'(x)f(x)[/tex]

Derivative Rule [Chain Rule]:                                                                                 [tex]\displaystyle \frac{d}{dx}[f(g(x))] =f'(g(x)) \cdot g'(x)[/tex]

Step-by-step explanation:

Step 1: Define

Identify

[tex]\displaystyle 5x^2 - 2xy + 4y^3 = 5[/tex]

Step 2: Differentiate

Implicit Differentiation:                                                                                 [tex]\displaystyle \frac{dy}{dx}[5x^2 - 2xy + 4y^3] = \frac{dy}{dx}[5][/tex]Rewrite [Derivative Property - Addition/Subtraction]:                                 [tex]\displaystyle \frac{dy}{dx}[5x^2] - \frac{dy}{dx}[2xy] + \frac{dy}{dx}[4y^3] = \frac{dy}{dx}[5][/tex]Rewrite [Derivative Property - Multiplied Constant]:                                   [tex]\displaystyle 5\frac{dy}{dx}[x^2] - 2\frac{dy}{dx}[xy] + 4\frac{dy}{dx}[y^3] = \frac{dy}{dx}[5][/tex]Basic Power Rule [Chain Rule]:                                                                     [tex]\displaystyle 10x - 2\frac{dy}{dx}[xy] + 12y^2y' = 0[/tex]Product Rule:                                                                                                 [tex]\displaystyle 10x - 2\bigg[ \frac{dy}{dx}[x]y + x\frac{dy}{dx}[y] \bigg] + 12y^2y' = 0[/tex]Basic Power Rule [Chain Rule]:                                                                     [tex]\displaystyle 10x - 2\bigg[ y + xy' \bigg] + 12y^2y' = 0[/tex]Simplify:                                                                                                         [tex]\displaystyle 10x - 2y + 2xy' + 12y^2y' = 0[/tex]Isolate y' terms:                                                                                             [tex]\displaystyle 2xy' + 12y^2y' = 2y - 10x[/tex]Factor:                                                                                                           [tex]\displaystyle y'(2x + 12y^2) = 2y - 10x[/tex]Isolate y':                                                                                                       [tex]\displaystyle y' = \frac{2y - 10x}{2x + 12y^2}[/tex]Factor:                                                                                                           [tex]\displaystyle y' = \frac{2(y - 5x)}{2(x + 6y^2)}[/tex]Simplify:                                                                                                         [tex]\displaystyle y' = \frac{y - 5x}{x + 6y^2}[/tex]

Topic: AP Calculus AB/BC (Calculus I/I + II)

Unit: Differentiation

Book: College Calculus 10e

Other Questions
A captive agent is a(n): Group of answer choices insurance agent who represents only one insurance company. federal insurance agent who can sell low-cost flood insurance coverage. independent agent who can insure homeowners and tenants together for flood insurance. insurance agent who insures only homes and vehicles. claims adjustor who assesses the probability of law violations during an investigation. Pls help this is an assignment!!What is the length of a human cheek cell under the 100x objective lens of a microscope (aka 1000x magnification)?Will mark brainliest!! A sample of aluminum, which has a specific heat capacity of , is put into a calorimeter (see sketch at right) that contains of water. The temperature of the water starts off at . When the temperature of the water stops changing it's . The pressure remains constant at .Calculate the initial temperature of the aluminum sample. Be sure your answer is rounded to significant digits. Rose dies with passive activity property having an adjusted basis of $156,400, suspended losses of $50,048, and a fair market value at the date of her death of $218,960. Of the $50,048 suspended loss existing at the time of Rose's death, how much is deductible on her final return or by the beneficiary Rajiv loves watching Downton Abbey on his local public TV station, but he never sends any money to support the station during its fundraising drives. Economists would call Rajiv a . True or False: The government can solve the problem caused by people like Rajiv by sponsoring the show and paying for it with tax revenue collected from everyone. True False True or False: The private market can solve this problem by broadcasting Downton Abbey on cable TV, since then the good would be excludable and thus no longer a public good. True False Which macromolecule provides a person with most of the energy that is needed for daily activities?carbohydrateslipidsnucleic acidsproteins help!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! look at the image to find the question Which species is the conjugate base of H2SO3 Why did Cupid fly off after payche saw his face? You canFigure A to map it onto Figure Din a single transformation."1.answers2.rotate 3.reflect 4.translate5.dilate What is the equation of the line? Amira starts an exercise programme on the 3rd of March. She decides she will swim every3 days and cycle every 4 days. On which dates in March will she swim and cycle on thesame day? Write the place and Value of Each Number27 210 What place is the selected digit in?What is the value of the selected digit?48,177 What place is the selected digit in?What is the value of the selected digit?A62,774 What place is the selected digit in?What is the value of the selected digit?73,646 What place is the selected digit in?What is the value of the selected digitA Select the correct answer from each drop-down menu. The asymptote of the function f(x) = 3x + 1 2 is ____ Its y-intercept is ____ Find the value of x.Round to the nearest tenth.12010x = [?] What is the main difference between federal and confederal systems of government?A) In a federal system there is no centralized authority, while in a confederal system power isthe states.B) Ina federal system there is no centralized authority, while in a confederal system local officcentralized authority.C) in a federal system there is centralized authority, while in a confederal system power is disstates.D) In a federal system power is distributed equally, while in a confederal system the states havcentral government.Im Express -5/8 as a rational number with -24 as the denominator A deli sandwich shop is offering either a ham or turkey sandwich, either tomato or vegetable soup, and either coffee or milk for their lunch special. Which tree diagram below shows all of the combinations for a sandwich, soup, and beverage? what produces cerebrum to protect brain from minor injury?