The students in Camille's grade voted to select a guest speaker. 65% of the students voted for a famous athlete. If there are 60 students in Camille's grade, how many students voted for the athlete?

Answer: 20km/h

Step-by-step explanation:

20km/h.  Simply average 15 and 25 by doing (15+25)/2

Hope it helps <3

Answer:

1)2205little cherries

2)0.5.

Step-by-step explanation:

1)7little=2big

?=630big

7×630=2205little cherries

2

2)²/5x=¹/10what is the value of 10x-2

first find the value of x that is ¹/10÷²/5=¼

so x is ¼

insert the value ie 10×¼-2

=2.5-2

=0.5

Answer:

The answer is given below

Step-by-step explanation:

a) What is the probability that a randomly selected pregnancy lasts less than 242 days

First we have to calculate the z score. The z score is used to determine the measure of standard deviation by which the raw score is above or below the mean. It is given by:

[tex]z=\frac{x-\mu}{\sigma}[/tex]

Given that Mean (μ) = 247 and standard deviation (σ) = 16 days. For x < 242 days,

[tex]z=\frac{x-\mu}{\sigma}=\frac{242-247}{16}=-0.31[/tex]

From the normal distribution table, P(x < 242) = P(z < -0.3125) = 0.3783

(b) Suppose a random sample of 17 pregnancies is obtained. Describe the sampling distribution of the sample mean length of pregnancies.

If a sample of 17 pregnancies is obtained, the new mean [tex]\mu_x=\mu=247,[/tex] the new standard deviation: [tex]\sigma_x=\sigma/\sqrt{n} =16/\sqrt{17} =3.88[/tex]

c) What is the probability that a random sample of 17 pregnancies has a mean gestation period of 242 days or less

[tex]z=\frac{x-\mu}{\sigma/\sqrt{n} }=\frac{242-247}{16/\sqrt{17} }=-1.29[/tex]

From the normal distribution table, P(x < 242) = P(z < -1.29) = 0.0985

d) What is the probability that a random sample of 49 pregnancies has a mean gestation period of 242 days or less?

[tex]z=\frac{x-\mu}{\sigma/\sqrt{n} }=\frac{242-247}{16/\sqrt{49} }=-2.19[/tex]

From the normal distribution table, P(x < 242) = P(z < -2.19) = 0.0143

(e) What might you conclude if a random sample of 49 pregnancies resulted in a mean gestation period of 242 days or less?

It would be unusual if it came from mean of 247 days

f) What is the probability a random sample of size 2020 will have a mean gestation period within 11 days of the mean

For x = 236 days

[tex]z=\frac{x-\mu}{\sigma/\sqrt{n} }=\frac{236-247}{16/\sqrt{20} }=-3.07[/tex]

For x = 258 days

[tex]z=\frac{x-\mu}{\sigma/\sqrt{n} }=\frac{258-247}{16/\sqrt{20} }=3.07[/tex]

From the normal distribution table, P(236 < x < 258) = P(-3.07 < z < 3.07) = P(z < 3.07) - P(z < -3.07) =0.9985 - 0.0011 = 0.9939

Answer:

We can prove that ΔTMB ≅ ΔTMD and ΔTMA ≅ ΔTMC by ASA. This means that BM = MD = BD / 2 = 8.5 and that AM = CM = 5 which means that CD = MD - CM = 8.5 - 5 = 3.5.

Answer:

Choice 3

Step-by-step explanation:

A(-5,-1) and B(4, 1)

Distance AB is calculated as x²+y², where x= 4-(-5)=9 and y= 1-(-1)=2

Point P is at 1/4 of distance from point A, so its coordinates will be at 1/4 of full distance from A to B in term of both coordinates:

So P= (-11/4, -1/2) and choice 3

Answer:

Add each given variable

(6x + 10) + (x + 2) + x = 8x + 12

The sum of all the angles equals 180ᴼ

8x + 12 = 180

Subtract 12 from both sides

8x = 168

Divide by 8 on both sides

x = 21

Now plug in 21 for each x to find the measure of each angle.

(6[21] + 10) = 126 + 10 = 136ᴼ

(21 + 2) = 23ᴼ

x = 21ᴼ

Answer:

1) Option 2

2) Option 1

Step-by-step explanation:

1) 3a-2b

Where a = 3, b = 2

=> 3(3)-2(2)

=> 9-4

=> 5

2) 5c+3d

Where c = 4, d = -5

=> 5(4) + 3(-5)

=> 20 - 15

=> 5

Answers:

5, 5

Step-by-step explanation:

Put a as 3 and b as 2 and evaluate:

3(3) - 2(2)

9 - 4

= 5

Put c as 4 and d as -5 and evaluate:

5(4) + 3(-5)

20 - 15

= 5

Answer: A (2,5)

Step-by-step explanation: Remove Parenthesis

                                             y = 3 (2) - 1

                                             Simplify 3 (2) - 1

                                             Multiply 3 by 2

                                             y = 6 - 1

                                             Subtract 1 from 6

                                             y = 5

Use the x and y values to from the ordered pair.

(2,5)

Answer:

(2.5)

Step-by-step explanation:

Answer:

A) 4.56000 x 10^5

B) 3.4 x 10^-4

C) 160000000

Step-by-step explanation:

Please mark me the brainliest answer!

Answer:

Step-by-step explanation:

a) 456000 = 4.5* 10⁵

b) 0.00034 = 3.4 *10⁻⁴

c) 16 *10 = 1.6 * 10²

Answer:

320793

Step-by-step explanation:

320793 / 11 = 29163

Answer:

only the inverse is a function

Answer:

Need more info

Step-by-step explanation:

Answer:

46 is the second smallest number of the sequence

Step-by-step explanation:

Let's write the sum of 4 consecutive numbers (starting at the value x) as:

x + (x + 1) + (x + 2) + (x + 3) = 186

Now group all the unknowns:

x + x + x + x + 1 + 2 +3 = 186

4 x + 6 = 186

4 x = 186 - 6

4 x = 180

x = 180/4

x = 45

Then the sequence was: 45, 46, 47, 48

and the second smallest number of the sequence s: 46

Answer:Y=16x+20

Step-by-step explanation:

Y=16x+20 thats tthe one that worked for me

Answer:

20.2m

Step-by-step explanation:

the shadow becomes the base and the hypotenuse becomes 37,it forms a right angled triangle and using the Pythagoras theorem you take 37squared minus 31 squared,the answer you get you squareroot to get the answer

Answer:

Following are the answer to this question:

Step-by-step explanation:

In the question first calls the W if the transmitted chip was white so, the W' transmitted the chip is red or R if the red chip is picked by the urn II.  

whenever a red chip is chosen from urn II, then the probability to transmitters the chip in white is:  

[tex]P(\frac{w}{R}) = \frac{P(W\cap R)}{P(R)} \ \ \ \ \ _{Where}\\\\P(R) = P(W\cap R) + P(W'\cap R) \\[/tex]

The probability that only the transmitted chip is white is therefore [tex]P(W) = \frac{2}{3}\\[/tex], since urn, I comprise 3 chips and 2 chips are white.

But if the chip is white so, it is possible that urn II has 4 chips and 2 of them will be red since urn II and 2 are now visible, and it is possible to be: [tex]P(\frac{R}{W}) = \frac{2}{3}[/tex]

[tex]P(W\cap R) = P(W) \times P(\frac{R}{W}) \\[/tex]

                [tex]= \frac{2}{3}\times \frac{2}{4} \\\\= \frac{2}{3}\times \frac{1}{2} \\\\= \frac{2}{3}\times \frac{1}{1} \\\\=\frac{1}{3}\\\\= 0.333[/tex]

Likewise, the chip transmitted is presumably red [tex](P(W')= \frac{1}{3})[/tex]and the chip transferred is a red chip of urn II [tex](P(\frac{R}{W'})= \frac{3}{4}[/tex], and a red chip is likely to be red [tex](\frac{R}{W'})[/tex].  

Finally, [tex]P(W'\cap R) = P(W') \times P(\frac{R}{W'})\\[/tex]

                              [tex]= \frac{1}{3} \times \frac{3}{4} \\\\ = \frac{1}{1} \times \frac{1}{4} \\\\=\frac{1}{4}\\\\= 0.25[/tex]

The estimation of [tex]P(R)[/tex] and [tex]P(\frac{W }{R})[/tex] as:  

[tex]P(R) = 0.3333 + 0.25\\\\ \ \ \ \ \ \ \ \ \ = 0.5833 \\\\ P(\frac{W}{R}) = \frac{0.3333}{0.5833} \\\\\ \ \ \ \ \ \ = 0.5714[/tex]

Answer:

20°

Step-by-step explanation:

A= 360°- (160°+2*90°)= 20°

Answer:

[tex]\boxed{Area = 3.14 ft^2}[/tex]

Step-by-step explanation:

Radius = r = 2 feet

Angle = θ = π/2 (In radians) = 1.57 radians

Area of Sector = [tex]\frac{1}{2} r^2 \theta[/tex]

Area = [tex]\frac{1}{2} (4)(1.57)[/tex]

Area = 2 * 1.57

Area = 3.14 ft²

Answer:

               [tex]\bold{2\pi\ ft^2\approx6,28\ ft^2}[/tex]

Step-by-step explanation:

360°:2 = 180° so the area of a sector bounded by a 180° arc is a half of area of a circle of the same radius.

[tex]A=\frac12\pi R^2=\frac12\pi\cdot2^2=\frac12\pi\cdot4=2\pi\ ft^2\approx2\cdot3,14=6,28\ ft^2[/tex]

Answer:

1:3

Step-by-step explanation:

Please study the diagram briefly to understand the concept.

First, we determine the height of the isosceles trapezoid using Pythagoras theorem.

[tex]4^2=2^2+h^2\\h^2=16-4\\h^2=12\\h=\sqrt{12}\\ h=2\sqrt{3}$ units[/tex]

The two parallel sides of the trapezoid are 8 Inits and 4 units respectively.

Area of a trapezoid [tex]=\dfrac12 (a+b)h[/tex]

Area of the trapezoid

[tex]=\dfrac12 (8+4)*2\sqrt{3}\\=12\sqrt{3}$ Square Units[/tex]

For an equilateral triangle of side length s.

Area  [tex]=\dfrac{\sqrt{3}}{4}s^2[/tex]

Side Length of the smaller triangle, s= 4 Units

Therefore:

Area of the smaller triangle

[tex]=\dfrac{\sqrt{3}}{4}*4^2\\=4\sqrt{3}$ Square units[/tex]

Therefore, the ratio of the area of the smaller triangle to the area of the trapezoid

[tex]=4\sqrt{3}:12\sqrt{3}\\$Divide both sides by 4\sqrt{3}\\=1:3[/tex]

Answer:

(  3x -2)

Step-by-step explanation:

6x^2 – 7x + 2

We know that the constant only has factors of 1 and 2

Since the middle term is negative we know that that we are subtracting

A negative times a negative is positive for the final term

A negative plus a negative is negative for the middle term

(   -1 ) (   -2)

We have to determine how to break up 6x^2

1x * 6x

2x*3x

3x*2x

6x*1x

We are given that one factor is 2x-1

(  2x -1 ) (   -2)

That means the other factor of 6x^2 is 3x  ( 2x*3x)

(  2x -1 ) (  3x -2)

Answer:

3x-2

Step-by-step explanation:

Factors are:

--------------

Answer:

B. 3(4 + 5) = 3(4) + 3(5)

3 left-bracket (4) (5) right-bracket = 3 (4) + 3 (5)

3 left-bracket (4) (5) right-bracket = Left-bracket 3 (4) right-bracket + Left-bracket 3 (5) Right-bracket

Step-by-step explanation:

Distributive property of multiplication over addition:

a(b + c) = ab + ac

You have

3(4 + 5), so following the pattern above, you should get:

3(4 + 5) = 3(4) + 3(5)

Answer:

b

Step-by-step explanation:

I took the test

Answer and Step-by-step explanation:

According to the situation, The probabilities for each one is given below:

As there are 20 families

So the probabilities for each one is

For four families have one child is

[tex]= \frac{4}{20}\\\\ = \frac{1}{5}[/tex]

For eight families have two children is

[tex]= \frac{8}{20}\\\\ = \frac{2}{5}[/tex]

For five families have three children is

[tex]= \frac{5}{20}\\\\ = \frac{1}{4}[/tex]

For two families have four children is

[tex]= \frac{2}{20}\\\\ = \frac{1}{10}[/tex]

For one family have five children is

[tex]= \frac{1}{20}[/tex]

Answer:

The distance between the center pole and the left most pole = 200 ft

Step-by-step explanation:

Given that a power line has a length of 400 ft.

Three poles are to be put, two on each end and one at the midpoint of the wire.

Let us represent this using the number line as shown in the attached diagram.

To find:

The distance between the center pole and the left most pole ?

Solution:

Please refer to the attached diagram for the number line representation of the given situation.

Point A refers to the starting of the road.

Point B refers to the mid point of the road and

Point C refers to the other end point of the road.

So, point A is a at 0.

Point C is at 400.

The mid point will be at:

[tex]AB = \dfrac{A's\ position+C's\ position}{2}\\\Rightarrow AB = \dfrac{0+400}{2}\\\Rightarrow AB = 200\ ft[/tex]

The distance between the center pole and the left most pole = 200 ft

Answer:

x= -2

Step-by-step explanation:

Answer: x=-2

Step-by-step explanation: first subtract 2x from both sides leaving you with x-2=-4

Then add 2 to both sides, leaving you with x=-2

Answer:

[tex] x = 5.1 yd [/tex]

Step-by-step Explanation:

Angle of depression is congruent to angle of elevation.

Therefore, angle of elevation of the given figure, which is opposite to x is 25°.

Adjacent length = 11 yd

Opposite length = x

Trigonometric ratio formula for finding x is shown below:

[tex] tan(25) = \frac{opposite}{adjacent} [/tex]

[tex] tan(25) = \frac{x}{11} [/tex]

Multiply both sides by 11 to solve for x

[tex] 11*tan(25) = x [/tex]

[tex] 5.129 = x [/tex]

[tex] x = 5.1 yd [/tex] (to the nearest tenth)

Answer:

your answer is b

hope this helps

Step-by-step explanation:

Answer:

B. m<DYZ = 90 deg

Step-by-step explanation:

There's a mistake in this problem. DY is a radius, so D is the center of the circle, but the circle is called circle O. Is the center D or O?

In any case, a radius that intersects a tangent at 90 degree angles.

m<DYZ = 90 deg

Answer:

Step-by-step explanation:

E=300.

V=200.

Answer:

The answer is "120".

Step-by-step explanation:

The assuming numbers:

[tex]0, 1,2,3,4,5,6,7,8,9[/tex]

The  odd number are=[tex]1,3,5,7,9[/tex]

Now we have four places:

In the first place we have 5 option

In second place we have 4 option

In third place, we have 3 option

In fourth place, we have 2 option

So, the value is [tex]5 \times 4 \times 3\times 2 \times 1= 120[/tex]

So, we have 120 different codes, which form the code.

Answer: y = 2x+8

Check out this graph I supplied you with!

Answer:

  [tex]0.\overline{6}[/tex]

Step-by-step explanation:

It is a repeating decimal fraction:

  [tex]\dfrac{2}{3}=0.6666...=0.\overline{6}[/tex]

__

You can see this if you do the long division. Each step is the same as the one before.

Answer:

d) Before cooling begins, the temperature of the water is 22°C

Step-by-step explanation:

Option A

If t=7 minutes

D=-7/5t+22

=-7/5(7)+22

=-49/5+22

=-49+110/5

=61/5

=12.2°C

Change in temperature=12.2°C-22°C

=-9.8°C

Option B

If t=5 minutes

D=-7/5t+22

=-7/5*5+22

=-7+22

=15°

Change in temperature=15°-22°

=-7°

Option C

The temperature of the ice must be less than 22°C

Option D

D=-7/5t+22

When ice is not placed, t=0

D=-7/5t+22

=-7/5(0)+22

=0+22

=22

Temperature of the water before cooling=22°

Answer:

D

Step-by-step explanation: