The distribution of the number of blocks a young child can stack before their tower falls is approximately Normally distributed with a mean of 12.7 blocks and a standard deviation of 1.4 blocks. If 6 of the child’s towers are randomly selected, what is the probability that the mean number of blocks is more than 11 blocks? 0.0015 0.1123 0.8877 0.9985

Answers

Answer 1

Answer:

0.9985

Step-by-step explanation:


Related Questions

What is the volume of a cylinder with a height of 7.1 ft and a base with a diameter of 12.8 ft, to the nearest tenth of a cubic foot?

Answers

Answer:

V=π(d

2)2h=π·(12.8

2)2·7.1≈913.62541ft³ Step-by-step explanation: because i said so

Look at this triangle.
B
11 cm
4 cm
Work out length AC.
(my teacher told me to start out with c first, c= an something like that I don’t remember)

Answers

Step-by-step explanation:

<c =90 °

So, Pythagoras theorem can be used,

Hypotenuse ² = base ² + altitude ²

AB²=AC²+BC²

11²=AC²+4²

11²-4²=AC²

121-16=AC²

Root 105=AC

AC=10.2 cm

The length of AC is 10.25 cm

What is pythagorean theorem ?

If ΔABC is a right angle triangle, then

AB² = BC²+AC²

where AB = Hypotenuse, BC & AC are adjacent sides of the right angle

What is the required length of the side ?

Given, hypotenuse = AB = 11 cm

One of adjacent sides = BC = 4 cm

We have to find the length of AC.

Using pythagorean theorem,

AB² = BC²+AC²

⇒ AC² = AB² - BC²

⇒ AC² = 11²-4²

⇒ AC² = 121-16

⇒ AC = √105

⇒ AC = 10.25

So the length of AC = 10.25 cm

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A truck traveled 144 miles on 12 gallons of diesel fuel. At
this rate how much fuel will the truck use to go 720 miles?

Answers

Answer:

60 gallons

Step-by-step explanation:

144/12 = 12 mi/gal

720/12 = 60

Answer: 60 gallons of diesel fuel

Steps:
720/144 = 5
5 * 12 = 60
60 gallons for 720 miles

In the figure below, m 2 2 = 76°. Find m Z1, m3, and m 24.
m 21 =
= 0
4
1
m 23 =
3
2.
m 24

Answers

Answer:

Chapter 2 Review WS. Period: Date: 1. A transversal intersects two parallel lines. ... 2. Find the measure of angles 1-4 and 6-8, using the following diagram. meisen ... 4. Find the measure of angles 1-7 given that lines m and n are parallel and t is transversal. ... Find the measure of angle 1. m24 = 123, mZ1 = 2x, mZ2 = x +42.

Step-by-step explanation:

if
[tex]a = \frac{2x + \sqrt{x} }{x} [/tex]
and
[tex]b = \frac{1 - 2 \sqrt{x} }{ \sqrt{x} } [/tex]
without sing a calculator, show that
[tex](a + b) {}^{2} = \frac{4}{x} [/tex]

Answers

Answer:

Step-by-step explanation:

Rationalize the denominator of b. So, multiply the numerator and denominator by [tex]\sqrt{x}[/tex]

[tex]b = \frac{(1-2\sqrt{x}) *\sqrt{x}}{\sqrt{x}*\sqrt{x} }=\frac{1*\sqrt{x} -2\sqrt{x} *\sqrt{x} }{\sqrt{x} *\sqrt{x} }\\\\=\frac{\sqrt{x} -2x}{x}\\[/tex]

Now, find a +b

[tex]a +b = \frac{2x+\sqrt{x} }{x}+\frac{\sqrt{x} -2x}{x}\\\\=\frac{2x+\sqrt{x} +\sqrt{x} -2x}{x}[/tex]

Combine like terms

[tex]= \frac{2x-2x+\sqrt{x} +\sqrt{x} }{x}\\\\=\frac{2\sqrt{x} }{x}[/tex]

Now find (a + b)²

(a +b)² = [tex](\frac{2\sqrt{x} }{x})^{2}[/tex]

          [tex]= \frac{2^{2}*(\sqrt{x} )^{2}}{x^{2}}\\\\= \frac{4* x}{x^{2}}\\\\= \frac{4}{x}[/tex]

Hint: [tex]\sqrt{x} *\sqrt{x} =\sqrt{x*x}=x[/tex]

What is a congruence statement? PLEASE ANSWER HURRY

Answers

Answer:

A congruence statement says that two polygons are congruent.

Step-by-step explanation:

To write a congruence statement, list the corresponding vertices in the same order.

−2x=x2−6 Rewrite the equation by completing the square.

Answers

Answer:

(x + 1)² = 7

Step-by-step explanation:

Given:

-2x = x² - 6

We'll start by rearranging it to solve for zero:

x² + 2x - 6 = 0

The first term is already a perfect square so that's fine.  Normally, if that term had a non-square coefficient, you would need to multiply all terms a value that would change that constant to a perfect square.

Because it's already square (1), we can simply move to the next step, separating the -6 into a value that can be doubled to give us the 2, the coefficient of the second term.  That value will of course be 1, giving us:

x² + 2x + 1 - 1 - 6 = 0

Now can group our perfect square on the left and our constants on the right:

x² + 2x + 1 - 7= 0

x² + 2x + 1 = 7

(x + 1)² = 7

To check our answer, we can solve for x:

x + 1 = ± √7

x = -1 ± √7

x ≈ 1.65, -3.65

Let's try one of those in the original equation:

-2x = x² - 6

-2(1.65) = 1.65² - 6

- 3.3 = 2.72 - 6

-3.3 = -3.28

Good.  Given our rounding that difference of 2/100 is acceptable, so the answer is correct.

I need help on this pls help meh

Answers

Answer:

the missing side T-F is 8. the missing side F-K is 3.

Step-by-step explanation:

hope I helped

Answer:

(SR*ST)+(FK*KL)=66cm²

Step-by-step explanation:

RL=ST+F K

9= 6+x

F K=3

T F=8

Area of this figure= (3*2)+(6*10)

=6+60=66 cm²

identify the vertex of the function graphed below.
A. (3,1)
B. (0,-2)
C. (1,1)
D. (2,2)

Answers

The answer is D, (2,2). A vertex is where a line or curve meets and changes direction.

Answer:

D. (2,2)

Step-by-step explanation:

I did the test and I got it correct. :DD

Will the product of two positive numbers be positive or negative? Why?

PLEASE HELP1!1!1!1!!1

Answers

Answer:

Positive

Step-by-step explanation:

Two positive integers multiplied will always be positive.

Answer:

Positive

Step-by-step explanation:

two positive will always be a positive because of the rule of multiplication

I need help on this pls

Answers

Answer:

Area= 56 cm²

Step-by-step explanation:

Figure given is a rhombus

Area= 1/2*d1*d2

PLS HELP ME FAST FREE 16 POINTS Rectangle PQRS is graphed on a coordinate plane with vertices P(–2, 1), Q(–2, 4), R(–4, 4), and S(–4, 1), as shown below.
Rectangle PQRS is reflected over the y–axis and then translated 2 units to the left. What are the coordinates of P'?
O(1, 0)
O(0, 1)
O(4, 1)
O(–4, –1)

Answers

Answer:

Pretty sure it's B!

Step-by-step explanation:

Over the Y axis- (2,1)

To the left two times= (0,1)

Hope this helped!

Answer:

(0,1)

Step-by-step explanation:

Since the problem is only asking about P', let's ignore the rest of the rectangle. P's coordinates are to be reflected across the y-axis, putting P' at (2,1). Move P' left by two units and your 'x' is 0, your 'y' is the same. So, (0,1)

ORDER
ORDER OF OPERATIONS
21 divided by 3 +4

Answers

Answer:

11

Step-by-step explanation:

21/3+4

7+4

11

.......

PLEASE SOMEONE HELP ME! I NEED THE ANSWER ASP
The water spray from a spinning lawn sprinkler covers a circular area of 196π square feet. If Ray is standing 30 feet away from the sprinkler as it is spraying water, which of the following statements is true?


A. Ray will get wet because the sprinkler sprays an area with a radius of 196 feet and 30<196.


B Ray will stay dry because the sprinkler sprays an area with a radius of 14 feet and 14<30.


C. Ray will stay dry because the sprinkler sprays an area with a radius of 28 feet and 28<30.


D. Ray will get wet because the sprinkler sprays an area with a radius of 98 feet and 30<98.

Answers

Answer: B

Step-by-step explanation:

196π=πr^2

196=r^2

14=r

14<30

1) calcula a.b , si 120 =1+2+3+... +ab ​

Answers

Answer:

ab=195

Step-by-step explanation:

Write 33 % as a fraction in simplest form.
3

Answers

Answer:

33/100

Step-by-step explanation:

33/100 bc percentage goes up to 100

33/100 is correct there right !

Tania earns $16 per hour at the Glendale Florist. She regularly works 40 hours per week.
She is paid time-and-a-half for each hour of overtime work. Last week she worked 43
hours.
7) How much was she paid for her regular hours?
a $600
b. S520
C. S640

Answers

Answer:

$640 is how much she will make in in regular hours.

Step-by-step explanation:

Create an equation from the word problem and solve.

Option A is correct, $640 is the pay for her regular hours.

What is Equation?

Two or more expressions with an Equal sign is called as Equation.

Given that Tania earns $16 per hour at the Glendale Florist.

She regularly works 40 hours per week.

She is paid time-and-a-half for each hour of overtime work

Last week she worked 43 hours.

We need to find the payment she received for her regular hours.

16h is the expression to find the pay for h hours.

As she work for 40 hours.

Now plug in h as 40.

16×40

$640

Hence, option A is correct, $640 is the pay for her regular hours.

To learn more on Equation:

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Which description matches the function represented by this graph?
A. exponential growth
B. linear growth
C. linear decay
D. exponential decay

Answers

Answer:

your answer will be option D. exponential decay

Step-by-step explanation:

have a nice day/ night bye ^_^

The answer is D- exponential decay

Please help me with this question!

Answers

Answer:

Your Answer Is 10

Step-by-step explanation:

1st Factor the Numerator and Denominator then cancel the common factor.

Hope It Help You If Yes then Please make me the Brainiest.

Thank You

Parshv

If the original square is 3 in by 7 in, but then you enlarge the square to 6 in by 14 in, what percent of the smaller original square's area is the larger square's area?

Answers

Answer:

Step-by-step explanation:

100(14(6))/(3(7))

100(84/21)

100(4)

400%

please help will ill brainiest if correct

Answers

Answer:

The answer would be -4.

Step-by-step explanation:

yeah I didn't do too good on that unit with the integers kind of thing so, yeah....

how I did this question: imagine if you owe someone $9 but you only have $5 so you give them those $5 so now you only owe them for dollars.

A square has a triangular hole in it. What is the area of the figure? 100 in2 92.5 in2 85 in2 70 in2

Answers

Answer:

how big is the hole ?

Step-by-step explanation:

i think the answer is B tho

pls give brainliest

Answer:

?

Step-by-step explanation:

Which of the ratios below is equivalent to 8:5?

Answers

Answer:

Nobody can answer this question if you don't tell us what are the ratios that are 'below'. We have no answers to choose from...

can y’all please help. I will send points if you want me to.

Answers

Answer:

the third one has a 2 acute angles 2 abuse angles and the x value is 110

Step-by-step explanation

the x value has to be bigger then 90 degree angles because it is a abuts angle and the 57 angle is a acute angle

Please help


1. Rafael stands 55 feet from the tower and uses a clinometer to measure the angle of elevation to the

viewing platform as 37º. How far up the tower is the viewing platform?

Answers

Answer:

41.4feet

Step-by-step explanation:

Using the SOH CAH TOA identity

Given the following

Distance of Rafael from the tower = 55feet = Adjacent

Angle of elevation = 37degrees

Required

Height of the tower = Opposite

Since Tan theta = opp/adj

Tan 37 = x/55

x = 55tan37

x = 55(0.7536)

x = 41.4

Hence the tower is 41.4feet up the viewing platform

An accountant rents three notebook computers for temporary workers
to use during tax season. The total rental amount is $2,750. The
accountant makes monthly payments of $1,100.
How many payments does the accountant make?
How much interest does the accountant pay on the rental?

Answers

Answer:

possibly $1

Step-by-step explanation:

don’t know how to explain but I hope this helps

Answer:

4454

Step-by-step explanation:

What is the value of the expression below when z=6z=6?
2z2 -8z-2

Answers

I think its 6z I’m not to great on the subject but this may be it

Find the surface
area of 11mm 8mm 22mm

Answers

Answer: The chosen topic is not meant for use with this type of problem. Try the examples below.

Step-by-step explanation:

triangle ABC is similar to triangle EHG , find the measure of angle EHG .

Answers

Answer:

[tex]\angle EHG = 80[/tex]

Step-by-step explanation:

Given

ABC ∼ EHG

See attachment

Required

Determine [tex]\angle EHG[/tex]

First, we calculate x in ABC

[tex]x + 2x + 60= 180[/tex]

[tex]3x + 60= 180[/tex]

[tex]3x = 120[/tex]

[tex]x = 40[/tex]

The corresponding angle to [tex]\angle EHG[/tex] is [tex]\angle ABC[/tex]

and

[tex]\angle ABC = 2x[/tex]

[tex]\angle ABC = 2 * 40[/tex]

[tex]\angle ABC = 80[/tex]

Hence:

[tex]\angle EHG = 80[/tex]

Simplify 4х+ 2-
+8-12
О
3х - 2
3х + 4
о
5х – 4
5х + 4


Can someone please help!!! I really need the answer

Answers

Answer:

3x - 2

Step-by-step explanation:

[tex]4x + 2 - \frac{ {x}^{2} + x - 12}{x - 3} \\ \\ = 4x + 2 - \frac{ {x}^{2} + 4x - 3x- 12}{x - 3} \\ \\ = 4x + 2 - \frac{ {x}(x + 4) - 3(x + 4)}{x - 3} \\ \\ = 4x + 2 - \frac{ (x + 4) \cancel{(x- 3)}}{\cancel{(x- 3)}} \\ \\ = 4x + 2 - (x + 4) \\ \\ = 4x + 2 - x - 4 \\ \\ = 4x - x + 2 - 4 \\ \\ = 3x - 2[/tex]

Other Questions
Item 8Read the novel excerpt.Superhero 101: A Family SecretTrace knew he would have to try to explain to his grandmother why he had missed her birthday party. He was dreading the conversation and the lie that he would inevitably have to tell. He thought telling her the truth would only open a Pandoras box. He rang the doorbell, and his grandmother answered right away, like she had been waiting for him. He had called and told her he would try to come by sometime that day, but he had not given her a precise time.She greeted him warmly, and he followed her into the kitchen where she had her customary jar of fresh-baked cookies ready for his indulgence. His grandmother was endearingly predictable. She had a daily routine and rarely deviated from it. Trace thought that given her lifestyle and penchant for routine and order, there was no way she would ever understand his life as Beetleman. He hated that he had no choice but to lie to his grandmother, whom he loved so much.They sat at the kitchen table. His grandmother poured him an ice-cold glass of milk and filled a plate with her delicious chocolate chip cookies. Before he had a chance to apologize, his grandmother spoke. Trace, Im glad you called and came by today. I know youre upset about missing my birthday party, but before you say anything about it, there is something I want to show you, she said.She went to a drawer and retrieved what appeared to be a large bracelet cuff made of silver. She handed it to Trace. He looked at it carefully. His grandmother moved his hands and pointed to something inscribed on the inside of the bracelet. Look at this. It's what I wanted you to see, she said as Trace read the words Family First. His heart sank when he read those words and recounted all the times that he had to sacrifice time with his family for his secret life.His grandmother noticed his dejected expression. Trace, I didnt show you this to make you feel bad about your choices. I know that they arent always yours to make. This cuff belonged to your grandfather. He had those words inscribed because they are what kept him going and allowed him to make those same tough choices.Trace stared at this grandmother. What was she saying? His grandfather was a superhero too?She continued, Your grandfather loved helping people, just like you do. Thats where you got your giftfrom him. Many times he had to miss family parties and outings because of his calling. But I always knew he did it for usfamily first.Trace was astounded. Hed had no idea that his grandfather was a superhero; now he realized that he no longer had to lie to his grandmother. His parents had died when he was very young, and his grandparents had raised him. He recalled his grandfather missing his 10th birthday party and how upset and angry he had been at his grandfather. He had cried himself to sleep that night, wrongly thinking that he was not important to his grandfather.Trace looked at the bracelet carefully, realizing that to him, it was as precious as the Hope diamond. He glanced up at his grandmother. His love for his family was his kryptonite, his grandmother continued. The only time he was weak was when you or I were in danger. He couldnt bear the thought of anything happening to us after what happened to your parents.Question 1Part AWhat is an allusion in "Superhero 101: A Family Secret"?the scene in which Trace's grandmother notices he is sadthe reference to the motto "Family First"the reference to the grandfather's love and kryptonitethe scene in which Trace cries himself to sleepQuestion 2Part BHow does the allusion in Part A affect the meaning of the story?It reminds readers that family is the most important thing..It discloses to readers that Traces parents died mysteriously.It shows readers that Trace is not a person of integrity and honesty.It reveals to readers Traces grandfathers biggest weakness. Triangle ABC is reflected across line m to form triangle PRS.BRAsWhich statement must be true?O The length of AB = the length of SR.O The length of BC = the length of RP.0 m 4 = m/sOmZB =mZR How has satellite communication changed American life? Help me plz. 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