Researchers recorded the speed of ants on trails in their natural environments. The ants studied, Leptogenys processionalis, all have the same body size in their adult phase, which made it easy to measure speeds in units of body lengths per second (bl/s). The researchers found that, when traffic is light and not congested, ant speeds vary roughly Normally, with mean 6.20 bl/s6.20 bl/s and standard deviation 1.58 bl/s.1.58 bl/s. (a) What is the probability that an ant's speed in

Answer:

26

Step-by-step explanation:

Given that :

2 out of every 5 people buys vanilla ice cream;

If Total number of ice cream sold in a day = 65 ; how many will be vanilla ;

Probability of purchasing vanilla ; p(vanilla) = 2/5 = 0.4

Hence, expected number who bought vanilla :

p(vanilla) * total number of icecream sold

0.4 * 65 = 26

Hence, about 26 of the 65 icecream sold are vanilla flavor.

Answer:2.088

Step-by-step explanation:

2.088

Answer:

Tennessee area we don´t know there is something wrong

Colorado area is ok close to 106000 mi²

Step-by-step explanation:

Tennessee is shaped like a parallelogram base is equal to 440 miles and the height is 120 miles. Therefore

Ap = b*h  = 440 * 120   = 52800 mi²

But the area of Tennessee  is 63000 mi²

Then there is something wrong because difference in mi² is

10400 mi²

10400/ 63000 = 0,165 % faraway of the real number

In the case of Colorado

Ac = 385 * 275

Ac = 105875 mi²   pretty close to 106000 mi²

Then from double check in the areas, we conclude in a high difference in the figures for the state of Tennessee ( one or both of the figures are incorrect ). The state of Colorado area is oK

Answer:

In step by step explanation

Step-by-step explanation:

a) Normal distribution N( 0, 1 )

If the sample size is equal n = 16 we have to use t-student distribution since     n < 30.

In the case n = 36 we should use normal distribution (z tables)

b) We can´t use the  standard normal distribution to calculate the probability that the sample mean falls between 66 and 68 in the first case n < 30 .

We can calculate that  probability in the case of the second sample

Answer:

a)

s= 6t-t² -->  v = 6 -2t  --> a = -2

s=t²-6t  --> v = 2t-6       -->    a = 2

s= t²-9t+24  -->  v = 2t -9   -->  a = 2

b)

v = 6 -2t  = 0  --> t = 3

v = 2t-6  = 0   --> t = 3

v = 2t -9   = 0 --> t = 9/2

Step-by-step explanation:

si s(t) es la distancia, la velocidad es la primera derivada v(t) = s'(t)

y la acceleracion es la segunda derivada : a(t)= v'(t) = s''(t)

s= 6t-t² -->  v = 6 -2t  --> a = -2

s=t²-6t  --> v = 2t-6       -->    a = 2

s= t²-9t+24  -->  v = 2t -9   -->  a = 2

Step-by-step explanation:

Answer:

(x-2)(x+1)(x-5)

Step-by-step explanation:

Answer:

[tex] \huge{ \boxed{ \tt{ \frac{ 7}{4} }}}[/tex]

Step-by-step explanation:

[tex] \text{Let \: the \: points \: be \: A \: and \: B}[/tex]

[tex] \sf{A \:( \: 0 \:, - 5 \: ) \longrightarrow{ \: (x1 \:, y1)}}[/tex]

[tex] \sf{B(4 \:, 2) \: \longrightarrow{ \:( x2 \:, y2)}}[/tex]

[tex] \underline{ \text{Finding \: the \: slope} }: [/tex]

[tex] \boxed{ \sf{Slope = \frac{y2 - y1}{x2 - x1}}} [/tex]

[tex] \sf{➳ \: Slope = \frac{2 - ( - 5)}{4 - 0}} [/tex]

[tex] \sf{➳ \: Slope = \frac{ 2 + 5}{4} }[/tex]

[tex] \sf{➳ \: Slope = \frac{7}{4} }[/tex]

[tex] \text{Hope \: I \: helped!}[/tex]

[tex] \text{Best \: regards!}[/tex]

~[tex] \text{TheAnimeGirl}[/tex]

Answer:

9 1/66

Step-by-step explanation:

9 x 1 is 9 so its that but to add more proof the problem is 9 1/6, 1 1/11 multiply 6 and 11 it is 66 so the answer is 9 1/66

Let the cost of the less expensive comic book be x .

Then :-

[tex]1284 - 11x = x[/tex]

Using this equation , we can find the cost of the less expensive comic book .

Price of the less expensive book :-

[tex]1284 - 11x = x[/tex]

[tex]11x + x = 1284[/tex]

[tex]12x = 1284[/tex]

[tex]x = \frac{1284}{12} [/tex]

[tex]x = 107[/tex]

Cost of the less expensive book is 107 .

Therefore , the epice of the less expensive book = $ 107 .

Cost of the more expensive book = 11x

Which means :-

[tex]1284 - x = 11x[/tex]

[tex]11x + x = 1284[/tex]

[tex]12x = 1284[/tex]

[tex]x = 107[/tex]

[tex]11x = 11 \times 107[/tex]

[tex] = 1177[/tex]

Therefore , the price of the more expensive book = $ 1177 .

Answer:

I want to say 2.5

Step-by-step explanation:

Answer:

a=60

b=85

c=35

Step-by-step explanation:

a is shown to be 60 in the text along with c being 85 with its angle so just add 60 and 85 to get 145 and fill in the remaining to get 180 which gives you c as 35

Answer:

Confusing! Where r the instructions?

Step-by-step explanation:

Answer:

y = 50

Step-by-step explanation:

Isolate the variable, y. Note the equal sign, what you do to one side, you do to the other.

Multiply 4 to both sides of the equation:

y/4 = 12.5

(y/4)(4) = (12.5)(4)

y = 12.5 * 4

y = 50

y = 50 is your answer.

~

Answer:

[tex]y = Acos5x - Bsin5x[/tex]

Step-by-step explanation:

Given the differential equation y''-10y'+29y=0

First, we need to rewrite it as an auxiliary equation as shown:

Let y'' = m²y and y' = my

Substitute the values into the general equation

m²y-10my+29y = 0

Factor out y:

(m²-10m+29)y = 0 [The auxiliary equation]

Solve the auxiliary equation and find the roots of the equation

m²-10m+29 = 0

m = -b±√(b²-4ac)/2a

a = 1, b = -10, c = 29

m = -10±√(10²-4(1)(29))/2(1)

m = -10±√(100-116)/2

m = -10±√-16/2

m = (-10±4i)/2

m = -10/2 + 4i/2

m = -5+2i

Comparing the complex number with a+bi, a = -5 and b = 2

The general solution for complex solution is expressed as:

[tex]y = Acosax + Bsinax[/tex]

Substitute the value of a in the equation

[tex]y = Acos(-5)x + Bsin(-5)x\\y = Acos5x-Bsin5x[/tex]

Hence the general solution to the differential equation is [tex]y = Acos5x - Bsin5x[/tex]

Answer: The required probability = 0.8926

Step-by-step explanation:

Given: [tex]\mu=975\text{ lbs}[/tex],  [tex]\sigma= 52\text{ lbs}[/tex]

Let x = weight of horse stable.

Sample size : n= 31

Then, the probability that the mean weight of the sample of horses would differ from the population mean by less than 15 will be:

[tex]P(-15<P(\overline{x}-\mu)<15)=P(\dfrac{-15}{\dfrac{52}{\sqrt{31}}}<\dfrac{\overline{x}-\mu}{\dfrac{\sigma}{\sqrt{n}}}<\dfrac{15}{\dfrac{52}{\sqrt{31}}})\\\\=P(-1.61<z<1.61)\ \ \ [z=\dfrac{\overline{x}-\mu}{\dfrac{\sigma}{\sqrt{n}}}]\\\\=2(z<1.61)-1\ \ \ [P(-z<Z<z)=2(Z<z)-1]\\\\=2( 0.9463)-1\\\\=0.8926[/tex]

Hence, the required probability = 0.8926

Answer:

A=750 +75*t

B=900 +25*t

There would be 975 students in each high school in year 3 when they are expected to have the same number of students.

Step-by-step explanation:

You know that High School A currently has 750 students  and is projected to grow by 75 students each year.   With A being the number of students in High School A in t years, this number will be the number of students it has initially added to the number of students who have joined after t years. This is represented by:

A=750 +75*t

You know that High School B currently has 900 students  and is projected to grow by 25 students each year.   With B being the number of students in High School B in t years, this number will be the number of students it has initially added to the number of students who have joined after t years. This is represented by:

B=900 +25*t

You want to determine how many students there would be in each high school in the year that they are projected to have the same number of students. That is, in year t the number of students is the same, so

A = B

750 +75*t=900 + 25*t

Solving:

75*t -25*t= 900 - 750

50*t= 150

[tex]t=\frac{150}{50}[/tex]

t=3

This indicates that in year 3 both High Schools are projected to have the same number of students. To get that amount, you simply replace this value in the expressions:

A=750 +75*t= 750 +75*3= 975

B=900 + 25*t=900 + 25*3= 975

There would be 975 students in each high school in year 3 when they are expected to have the same number of students.

Answer: REAL ANSWER

A= 75t +750

B=25t +900

Answer: 975 students

Answer:

A. (4x56)+(3x56)=r

B. 56x(4+3)=r

E. (7x56)=r

Step-by-step explanation:

Kira used 392 yards of ribbon.

Answer:

The length of a side of the square is 6.3 units.

Step-by-step explanation:

When given vertices for a given shape, the length of the side is calculated using the formula:

√(x2 - x1)² + (y2 - y1)²

When given vertices (x1 , y1) and (x2 , y2)

Square ABCD has vertices A(-2,-3), B(4, -1), C(2,5), and D(-4,3). Find the length of a side

Side AB : A(-2,-3), B(4, -1)

√(x2 - x1)² + (y2 - y1)²

= √(4 -(-2))² + (-1 -(-3))²

= √ 6² + 2²

= √36 + 4

= √40

= 6.3245553203

≈ 6.3 units

B(4, -1), C(2,5),

√(x2 - x1)² + (y2 - y1)²

= √ (2- 4)² + (5- (-1))²

= √-2² + 6²

= √4 + 36

= √40

= 6.3245553203

≈ 6.3 units

C(2,5), D(-4,3).

√(x2 - x1)² + (y2 - y1)²

= √(-4 - 2)² + (3 - 5)²

= √-6² + -2²

= √36 + 4

= √40

= 6.3245553203

≈ 6.3 units

A(-2,-3), D(-4,3).

√(x2 - x1)² + (y2 - y1)²

= √(-4 -(-2))² + (3 - (-3))²

= √-2² + 6²

= √4 + 36

= √40

= 6.3245553203

≈ 6.3 units

Answer:

A. 4

Step-by-step explanation:

1      1  2  -3  3

           1   3  0

       1   3  0  3

Bring down the first coefficient, 1 and multiply it to 1 and that will be 1

Put the result below 2 and add 2 and 1, that would be 3

Multiply 3 and 1, that would be 3. Put it below -3.

Add -3 and 3 that would be 0.

Multiply 0 and 1, that would be 0. Put 0 below 3.

Add 3 and 0 then that would be 3.

Since the final result is 3, the remainder is 3.

(Sorry for the mistake earlier ;-;)

Answer:

I really think that (3 , -3 , -3) is the answer but I could be wrong.

Step-by-step explanation:

I'm taking the quiz right now and from the graph it looks like point E is in the position (3 , -3 , -3).

Once again, sorry if I'm wrong.

Answer:

i think ur answer is -43.i hope u get it

Answer:

the answer is i guess -43

Step-by-step explanation:

|-43| = 43

so -|-43| = -43

Answer:

The equation x + y = z relates the whole numbers.

Hopefully, this helps! :D

Ask your question below!

Answer:

80

Step-by-step explanation:

do: 49+31=Your answer

Ellie had 80 peanuts before she ate 49 of them.

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

Let x be the number of peanuts Ellie had before she ate 49 of them.

After eating 49 peanuts, Ellie has 31 peanuts left, so we can write an equation:

x - 49 = 31

To solve for x, we add 49 to both sides of the equation:

x - 49 + 49 = 31 + 49

Simplifying, we get:

x = 80

Therefore, Ellie had 80 peanuts before she ate 49 of them.

To learn more on Equation:

https://brainly.com/question/10413253

#SPJ2

Answer:

Use a calculator solved :)))

Step-by-step explanation:

Answer:

x=-3

Step-by-step explanation:

3x+2=9x+20

3x-9x=20-2

-6x=18

X=-3

Answer:

x = 5

Step-by-step explanation:

a || b and a line intersecting them is their transversal.

[tex] \therefore m\angle 1=m\angle 5\\(corresponding \:\angle 's) \\\\

\therefore 60 - 2x = 70 - 4x\\\\

\therefore 4x - 2x = 70 - 60\\\\

\therefore 2x = 10\\\\

\therefore x =\frac{10}{2} \\\\

\huge \orange {\boxed {\therefore x = 5}}[/tex]