Please answer all of these

Answer:

5.5

Step-by-step explanation:

The mean is the average of the numbers.

mean=(5+4+7+4+5+8+6+5)/8=44/8

=5.5

Answer:

The equation is

y=1/4x-3

Answer:

y = 1/4x - 5

Step-by-step explanation:

If gradient or slope (m) equal to 1/4

then y - y¹ = m( x - x¹) ..........(1)

where the line happen to be passing through the point given above

therefore let x¹ be 8.........(2)

and y¹ be -3...............(3)

substitute (3) and (2) into (1)

we have y -(-3) = 1/4 (x - 8)

so 4(y+3)= (x-8)

4y = x - 8 - 12

therefore y = 1/4x - 5

Answer:

D is the least common denominator

Answer:

4 miles per hour

Step-by-step explanation:

3 miles

Change the 45 minutes to hours

45 minutes * 1 hour/60 minutes = 3/4 hour

3 miles ÷ 3/4 hour

Copy dot flip

3 * 4/3

4 miles per hour

Answer: move each corner (where you see the right triangles) 2 units to the left and three units up. Then, draw the quadrilateral.

Step-by-step explanation:

Answer:

Step-by-step explanation:

you need o solve 26=4+40t-16t^2

the equation becomes:

the equation becomes:-16t^2+40t+4-26=0

the equation becomes:-16t^2+40t+-22=0 or8t^2-20t+11=0

8t^2-20t+11=0, a=8 , b=-20 c=11 the discriminant =b^2-4ac=(-20)^2-4x8x11=48

t1=(20-squarootof48)/16 =13/16 =0.81 seconds t2=27/16=1.68 second I rounded my answers

Answer:

The proportion of red candies is 60/100.

Step-by-step explanation:

Given that sixty out of every 100 pieces of candy is red, to determine which indicates the proportion of red candies, the following calculation must be performed:

60 red candies out of 100 total candies

60/100

Therefore, the ratio of red candies is 60/100.

Answer:

7*7

Step-by-step explanation:

49 = 7*7

As 7 is a prime number ( a number that can only be written as a product of 1 and itself), we are finished

Factors of 49: 1 7 49

prime factorization: 49=7*7

which can also be written as 7²

hope this is helpful

Answer:

B = 55°

b = 17.1 (rounded to the nearest tenth)

c = 20.9 (rounded to the nearest tenth)

Answer:

A. 16 - 6i

Step-by-step explanation:

(14 - 9i)+(2+3i)

14 - 9i + 2 + 3i

-9i + 3i + 14 + 2

-6i + 16

Answer:

10

Step-by-step explanation:

1. [tex]6^{2} + 8^{2} = c^{2}[/tex]

2 [tex]100 = c^{2}[/tex]

3. c = 10

9514 1404 393

Answer:

  x = 12

Step-by-step explanation:

Angle U is supplementary to the arc intercepted by the tangents.

  5x +10 = 180 -110

  5x = 60 . . . . . . subtract 10 and simplify

  x = 12 . . . . . . . . divide by 5

Answer:

C

Step-by-step explanation:

Rationalize the denominator by multiplying [tex]\frac{\sqrt{5}}{\sqrt{5} }[/tex]. The denominator will become 5, while the numerator will be 3[tex]\sqrt{100}[/tex]. This is equal to 30/5, which is 6.

Hope this helps!

Answer:

option d.opposite / adjacent

Step-by-step explanation:

opposite /adjacent ratio represents the tangent of an angle .

hope it is helpful to you ☺️

Answer:

D.

Step-by-step explanation:

From the trigonometry shortcuts we can use the acronyms:

SOH  CAH  TOA

for an arbitrary angle Ф, plug in the length of the sides:

sin(Ф) = opposite/hypotenuse

cos(Ф) = adjacent/hypotenuse

tan(Ф) = opposite/adjacent

Answer:

The answer is "21.6".

Step-by-step explanation:

Let A stand for tent 1

Let B stand for tent 2

Let C be a shower

Using cosine formula:  

[tex]c= \sqrt{b^2 +a^2 - 2ab\cdot \cos(C)}\\\\[/tex]

  [tex]= \sqrt{(19)^2 + (15)^2 - 2\cdot 19 \cdot 15 \cdot \cos(78^{\circ})}\\\\= \sqrt{361 + 225 - 570\cdot \cos(78^{\circ})}\\\\ = \sqrt{586- 570\cdot \cos(78^{\circ})}\\\\= 21.6\\\\[/tex]

Therefore, you need to reduce the similarity from B to C which is the length from tent 2 to shower:

Tent 2 Distance to Dusk = 21.6m

Bert's tent is 21.6m away from the shower

Answer:

A

Step-by-step explanation:

The composite solid is made up of a cone and a rectangular prism.

Volume of the composite solid = volume of the cone + volume of the rectangular prism

✔️Volume of Cone = ⅓*π*r²*h

Where,

r = 4.8 yd

h = √(6² - 4.8²) = √12.96 = 3.6 yd

Substitute

Volume of cone = ⅓*π*4.8²*3.6

= 86.86 yd²

✔️Volume of rectangular prism = l*b*h

Where,

l = 7 yd

w = 5 yd

h = 4.5 yd

Substitute

Volume of prism = 7*5*4.5 = 157.5 yd²

✔️Volume of composite solid = 86.86 + 157.6 = 244.4 yd² (which is close to 244.36 yd²)

Answer:

z-score=2.17

Step-by-step explanation:

We are given that

Mean, [tex]\mu=0[/tex]

Standard deviation, [tex]\sigma=1[/tex]

Probability, p-value=0.9850

We have to find z-score for the standard normal distribution  with mean 0 and standard deviation 1 with the probability 0.9850.

To find the z score for the standard normal distribution we will use z-table.

From z- table we get

p-value =0.9850 when z -score=2.17

[tex]\implies[/tex]z-score corresponding to p-value=2.17

Therefore, the z-score for the standard normal distribution with mean 0 and standard deviation 1 with the probability 0.9850=2.17

Answer:

17

Step-by-step explanation:

Answer:

Step-by-step explanation:

a

Answer:

f(-10) = 2 times -10 + 1

= -19

f(2) = 2^2

= 4

f(-5) = 2 times -5 + 1

= -9

f(-1) = (-1)^2

= 1

f(8) = 3-8

= -5

Step-by-step explanation:

Answer:

∠ ADB = 19°

Step-by-step explanation:

Consecutive angles in a parallelogram are supplementary, sum to 180° , so

∠ CDA = 180° - ∠ DAB = 180° - 138° = 42°

Then

∠ ADB + ∠ CDB = 42° , that is

∠ ADB + 23° = 42° ( subtract 23° from both sides )

∠ ADB = 19°

Step-by-step explanation:

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Angle formed by each blade = 40°

So, total angle formed by 3 blades

= 40° × 3 = 120°

Total angle of a circle = 360°

Ratio of angle formed by total circle to angle formed by the 3 blades

= 360° : 120°

= 360 : 120

= 3 : 1

Total area of circle

= πr²

= π(3m)²

= π9m²

Let the area of blades be x.

So, area of total circle : x = 3 : 1

= π9m² : x = 3 : 1

= π9m²/x = 3/1

= π9m²/3 = x/1

= π9m²/3 = x

= π3m² = x

So, the area of all three blades is π3m².

Given:

The vertices of a parallelogram are P(1,2,1), Q(1,0,-1), R(2,2,0).

PQ and PR are the adjacent sides of the parallelogram.

To find:

The coordinates of vertex S.

Solution:

We know that, the diagonals of a parallelogram bisect each other.

Let the coordinates of the vertex S are (a,b,c).

In the given parallelogram PS and QR are the diagonals. It means their midpoints are same.

[tex]\left(\dfrac{1+a}{2},\dfrac{2+b}{2},\dfrac{1+c}{2}\right)=\left(\dfrac{1+2}{2},\dfrac{0+2}{2},\dfrac{-1+0}{2}\right)[/tex]

[tex]\left(\dfrac{1+a}{2},\dfrac{2+b}{2},\dfrac{1+c}{2}\right)=\left(\dfrac{3}{2},\dfrac{2}{2},\dfrac{-1}{2}\right)[/tex]

On comparing both sides, we get

[tex]\dfrac{1+a}{2}=\dfrac{3}{2}[/tex]

[tex]1+a=3[/tex]

[tex]a=3-1[/tex]

[tex]a=2[/tex]

Similarly,

[tex]\dfrac{2+b}{2}=\dfrac{2}{2}[/tex]

[tex]2+b=2[/tex]

[tex]b=2-2[/tex]

[tex]b=0[/tex]

And,

[tex]\dfrac{1+c}{2}=\dfrac{-1}{2}[/tex]

[tex]1+c=-1[/tex]

[tex]c=-1-1[/tex]

[tex]c=-2[/tex]

Hence, the coordinates of vertex S are (2,0,-2).

Answer:

10:18am

Step-by-step explanation:

The time at which they meet, given that Ivan leaves his house at 8:00 A.M. and bikes towards Kate's house at a constant speed of 12 mph, while Kate leaves her house at 9:30 A.M. but bikes toward Ivan at a constant speed of 18 mph is 10:18 A.M.

The speed of a body is given as the ratio of the distance it travels and the time it takes. Thus, it can be shown as:

Speed = Distance/Time.

The other equations formed from this are:

Distance = Speed*Time

Time = Distance/Speed.

In the question, we are given that Ivan and Kate live 42 miles apart.

We are asked for the time at which they meet, given that Ivan leaves his house at 8:00 A.M. and bikes towards Kate's house at a constant speed of 12 mph, while Kate leaves her house at 9:30 A.M. but bikes toward Ivan at a constant speed of 18 mph.

The time for which Ivan travels alone is from 8:00 A.M. to 9:30 A.M., that is, 1.5 hours.

The distance covered by Ivan at a constant speed of 12 mph during this time can be shown as,

Distance = Speed*Time,

or, Distance = 12*1.5 = 18 miles.

The distance left to be covered now is, 42 - 18 miles = 24 miles.

After 9:30 A.M., both Ivan and Kate are biking toward each other.

Thus, their relative speed moving toward each other is the sum of their speeds.

Thus, the relative speed = 12 + 18 = 30 mph.

Thus, the time taken by them after 9:30 A.M. to meet can be shown as:

Time = Distance/Speed,

or, Time = 24/30 = 0.8 hours = 48 minutes.

Thus, Ivan and Kate meet at 9:30 + 48 minutes = 10:18 A.M.

Thus, the time at which they meet, given that Ivan leaves his house at 8:00 A.M. and bikes towards Kate's house at a constant speed of 12 mph, while Kate leaves her house at 9:30 A.M. but bikes toward Ivan at a constant speed of 18 mph is 10:18 A.M.

Learn more about speed at

https://brainly.com/question/6504879

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Answer:

P(X = 0) = 0.25

P(X = 1) = 0.75

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

The probability distribution of X.

3 red balls out of 4, one picked, so we can have either 0 red balls or 1 red ball. The probability disitribution is the probability of each outcome.

[tex]P(X = 0) = \frac{1}{4} = 0.25[/tex]

[tex]P(X = 1) = \frac{3}{4} = 0.75[/tex]

Answer:

Cluster sampling.

Step-by-step explanation:

Samples may be classified as:

Convenient: Sample drawn from a conveniently available pool.

Random: Basically, put all the options into a hat and drawn some of them.

Systematic: Every kth element is taken. For example, you want to survey something on the street, you interview every 5th person, for example.

Cluster: Divides population into groups, called clusters, and each element in the cluster is surveyed.

Stratified: Also divides the population into groups. However, then only some elements of the group are surveyed.

In this question:

People divided into groups, by households.

Each member of the households(group) is surveyed, so cluster sampling.

Answer:

If both statements are true or if both statements are false then the converse is true​. A conditional and its converse do not mean the same thing.

Step-by-step explanation:

Answer:

x = 135

Step-by-step explanation:

Answer:

480

Step-by-step explanation:

(10)3- (2)3- (8)3

1000- 8- 512

= 480

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