1- Random response The question on the right appears on a survey. Why are people told to roll a dice? It makes the survey more fun to do If they have lied about being sick they will be more likely to answer truthfully It will bring them good luck if their boss finds out they've been lying % When 420 people are surveyed, 115 tick the yes box. Estimate the proportion of people who have lied to their boss about being sick. Round your answer to 1 d. p. [1] [5] OFFICIAL SURVEY Roll a dice. If the dice shows 6 tick the box marked yes. If the dice shows a different number, answer the question. Have you ever lied to your boss about being sick in order to get a day off work? ​

Answer:

Step-by-step explanation:

You want a pair of transformations that will map ∆ABC to ∆A'B'C'.

We note that segment BC points downward, and segment B'C' points upward. This suggests a vertical reflection.

We also note that point A' is 2 units left of point A, suggesting a horizontal translation. It is as far below the x-axis as A is above the x-axis.

The two transformations that map ∆ABC to ∆A'B'C' are ...

These transformations are independent of each other, so may be applied in either order.

Answer: Infinitely many solutions

Step-by-step explanation:

There are many solutions because the lines lies on top of each other.

i dont know the exact answer but its not  

One solution

Two solutions

so its most likely

Infinitely many solutions

Answer:

Areas and volumes of cylinders etc

Step-by-step explanation:

Given:

h = 10.7 in

V = 619 in^3

Volume (V) = π\(r^{2}\)h

619 = 22/7×\(r^{2}\)×10.7

∴\(r^{2}\) = 619x7/ 22x10.7

r = 4,3 in approx.

Please check calculation for me but thats how one proceeds

The area of rectangle B is 256 cm²

The area occupied by a rectangle within its boundary is called the area of the rectangle.

Thus, the formula for the area, 'A' of a rectangle whose length and width are 'l' and 'w' respectively is the product

Area of rectangle= length  × width.

It is given that the dimensions of rectangle B are twice times the dimensions of rectangle A.

Let dimensions of rectangle B are l× B.

Area of rectangle is

A= length *  breadth

Area of rectangle A = 128

So, Area of rectangle B

=2( l * B)

= 2l* 2B

=2( l * B)

=2 * 128

= 256 cm²

Hence, the area of rectangle B is 256 cm²

Learn more about this concept here:

https://brainly.com/question/15225905

#SPJ1

The Variance for the number of people catching a cold is; 24

This is a binomial distribution problem and we know that a success will occur when a person catches a cold during the cold and flu season.

We are told that the probability that a person catches a cold during the cold and flu season is 0.4.

Thus;

Probability of a success; p = 0.4.

Let X be the number of successes in 10 people

Sample size; n = 10

The formula to find the variance of this binomial distribution is;

Var[X] = σ² = np(1 − p)

Plugging in the relevant values for n and p gives;

(10 * 0.4)(1 - 0.4) = 24

Read more about Variance at; https://brainly.com/question/14307841

#SPJ1

Answer:

x= 17

y= 8

QPR= 35

QRP= 60

Step-by-step explanation:

Step-by-step explanation:

4x + 8y = 40

4x + (8×0.8) = 40

4x + 6.4 = 40

4x = 33.6

4x÷4 = 33.6 ÷ 4

x = 8.4

Answer:

8.4

Step-by-step explanation:

:D

The volume can be expressed as:

V = ∫[0,1] ∫[0,1] ∫[0,2.5 - z^2 - y] dz dy dx

Evaluating this triple integral will give us the volume of the region bounded by the given surfaces and planes in the first octant.

To find the volume of the region bounded by the surfaces 2.5 - z^2 - y = x and z = y = 1 in the first octant, we can use triple integration.

The given region is bounded by the planes z = 0, y = 0, x = 0, and the surfaces 2.5 - z^2 - y = x and z = y = 1.

Setting up the triple integral in Cartesian coordinates, the volume can be calculated as follows:

V = ∫∫∫ R dz dy dx

where R represents the region bounded by the given surfaces and planes in the first octant.

The limits of integration are as follows:

x: 0 to 2.5 - z^2 - y

y: 0 to 1

z: 0 to 1

Therefore, the volume can be expressed as:

V = ∫[0,1] ∫[0,1] ∫[0,2.5 - z^2 - y] dz dy dx

Evaluating this triple integral will give us the volume of the region bounded by the given surfaces and planes in the first octant.

Learn more about volume here:

https://brainly.com/question/13338592

#SPJ11

Answer:

only construction

Step-by-step explanation:

it must have 4 sides

Answer:

a) 36°

b) 37°

Step-by-step explanation:

Angle of elevation formula:  \(tan(\theta)=\dfrac{y}{x}\)

where \(\theta\) is the angle of elevation, y is the vertical distance (rise) and x is the horizontal distance.

a)  Given:

\(\implies tan(\theta)=\dfrac{10}{14}\)

\(\implies \theta=tan^{-1}\left(\dfrac{10}{14} \right)\)

\(\implies \theta=36 \textdegree \ \ \textsf{(neareast whole degree)}\)

b)  Given:

\(\implies tan(\theta)=\dfrac{13}{17}\)

\(\implies \theta=tan^{-1}\left(\dfrac{13}{17} \right)\)

\(\implies \theta=37 \textdegree \ \ \textsf{(neareast whole degree)}\)

Answer:

a) 36°

b) 37°

Step-by-step explanation:

turned in the project already :)

To find the difference in the number of cups of sugar used to bake 9 batches of cookies compared to 3 batches of cookies, we need to calculate the amount of sugar used for each case.

From the table, we can see that:

- For 1 batch of cookies, Sonya uses 2-7 cups of sugar.

- For 2 batches of cookies, Sonya uses 47/17 cups of sugar.

- For 3 batches of cookies, Sonya uses 6²2/2 cups of sugar.

To calculate the amount of sugar used for 9 batches of cookies, we can use the pattern observed in the given values:

- For 4 batches of cookies, Sonya uses 2-7 cups of sugar.

- For 5 batches of cookies, Sonya uses 47/17 cups of sugar.

- For 6 batches of cookies, Sonya uses 6²2/2 cups of sugar.

- For 7 batches of cookies, Sonya uses 2-7 cups of sugar.

- For 8 batches of cookies, Sonya uses 47/17 cups of sugar.

- For 9 batches of cookies, Sonya uses 6²2/2 cups of sugar.

Therefore, to find the difference in the number of cups of sugar used to bake 9 batches of cookies compared to 3 batches of cookies, we subtract the amounts:

Amount of sugar for 9 batches - Amount of sugar for 3 batches

[(2-7) + (47/17) + (6²2/2)] - [(2-7) + (47/17) + (6²2/2)]

Simplifying the expression, we get:

[(2-7) + (47/17) + (6²2/2)] - [(2-7) + (47/17) + (6²2/2)]

= 6²2/2 - 6²2/2

= 0

Therefore, the correct answer is:

d) 19 1/4

There is no difference in the number of cups of sugar used to bake 9 batches of cookies compared to 3 batches of cookies.

from S^OH

sinθ=opp/hyp

sin38°=x/4

x=4sin38°

x=4×(0.61566147533)

x=(2.4626459013)

to 1dp

x=2.5cm

Answer:182.5

Step-by-step explanation: 67.4 + 43 = 110.4

110.4 + 30 + 42.10

110.4 + 30 = 140.4

140.4 + 42.10

140.4 + 42.10 = 182.5

182.5

Round 182.5 → 182 (Decimals: 0)

Step-by-step explanation:

I think this is not clear question.

Answer:

2.64 square meters.

Step-by-step explanation:

To find the surface area of a cuboid, you need to find the area of each of the six faces and add them together. A wooden cuboid with an open flame base that has a square surface with 1.2 meter sides and a height of 0.25 meters would have a surface area of 1.2 * 1.2 + 4 * (1.2 * 0.25) = 1.44 + 1.2 = 2.64 square meters. This is because the base of the cuboid has an area of 1.2 * 1.2 = 1.44 square meters, and each of the four sides has an area of 1.2 * 0.25 = 0.3 square meters. The total surface area of the cuboid is therefore the sum of these areas: 1.44 + 4 * 0.3 = 2.64 square meters.

we must use trigonometric ratios to solve the right triangle

i will use the cosine

where alpha is the angle, a the adjacent side and H the hipotenuse,

so replacing

now solve for x

so the right option is I

Answer:

A), C), E)

Step-by-step explanation:

Answer:

4+8-4=8

Step-by-step explanation:

2^3 simplified is 8

The absolute value of -4 is 4

Therefore you get 4+8-4

4+8=12-4=8

Answer:

x=28°

Step-by-step explanation:

2x+3x-10+50=180

5x+40=180

5x=180-40

5x=140

x=140/5

x=28°

The angle measure of a triangle are shown in the diagram.

What is the value of x?

As, In a triangle measure of all three angles is always 180°.

\( \sf : \implies \angle A + \angle B + \angle C = 180\degree\)

\( \sf : \implies 50\degree + (2x)\degree + (3x - 10)\degree = 180\degree\)

\( \sf : \implies 50 + 2x + 3x - 10 = 180\degree\)

\( \sf : \implies 40 + 5x = 180\degree\)

\( \sf : \implies 5x = 180\degree - 40\degree\)

\( \sf : \implies 5x = 140\degree\)

\( \sf : \implies x = \cancel{\dfrac{140\degree}{5}}\)

\( \sf : \implies x = 28\degree\)

\( \large \underline{\boxed{\bf{x = 28\degree}}}\)

Hence, value of x is 28°.

Therefore, the probability that Scott chose books A and B is 1/28.

Probability is a measure of the likelihood or chance of an event occurring. It is expressed as a number between 0 and 1, where 0 means that the event will not occur and 1 means that the event is certain to occur. The probability of an event is calculated by dividing the number of favorable outcomes by the total number of possible outcomes. Probability is used in many areas of mathematics, science, economics, and everyday life to help make predictions, decisions, and inferences.

Here,

The total number of ways Scott can choose 2 books out of 8 books is given by the combination formula:

C(8,2) = 8! / (2! * 6!) = 28

This means there are 28 possible pairs of books he could choose.

The probability that he chose books A and B is 1 out of 28 because there is only 1 way to choose books A and B out of the 28 possible pairs:

P(A and B) = 1/28

To know more about probability,

https://brainly.com/question/30034780

#SPJ1

Answer:

61.5 Feet of Rope

Step-by-step explanation:

Divide the rope length, 861 feet, by 14 people.

The area bounded by x = 0, y = x - 2, and y = √x is option (b) 7.

To find the area bounded by the curves, we need to determine the points of intersection between them. Setting y = x - 2 and y = √x equal to each other, we can solve for x. By solving the equation x - 2 = √x, we find that x = 4.

The area bounded by the curves can be found by taking the integral of the difference between the upper and lower curves with respect to x, within the limits of x = 0 to x = 4. Evaluating this integral gives us the area, which in this case is 7.

Learn more about Area bounded

brainly.com/question/32053743

#SPJ11

Answer:

The answer is "\(45^{\circ}\)"

Step-by-step explanation:

In this question, the 9 and 10 values indicate the supposed to be the same. Those who are both complementary and therefore equivalent to 90 degrees. It is also \(\frac{90}{2} = 45^{\circ}\).

Answer:

169.2 is 132.1875% of 128

Step-by-step explanation:

Using the given exponential function,

The rate of the disease spreading is approx. 140 peoples per day affected.

let P be the number of people's that are contacting a new disease.

given exponential function about the new disease modeled by population is

P(t) = 3725/(1 +1.72 e⁻⁰·⁵²ᵗ) ---(1)

where t is time measured in days

we want to calculate the rate of diseases spreading on day 4 i.e t = 4

putting the value t = 4 in above formula, we get

P(t=4) = 3725/(1 + 1.72 e⁻⁽⁰·⁵²⁾⁴)

=> P( t= 4) = 3725 / (1 + 1.72× e⁻⁰·²⁸)

=> P(t=4) = 3725/(1 + 1.72× 0.124)

=> P(t = 4) = 3725/(1+ 0.2148)

=> P(t=4) = 3725/1.2148

=> P(t = 4) = 3066.14

Hence, after 4 days of diseases spread , total 3066 people's are affected from it .

rate of diseases spreading per day is equal to (3725-3066)/4 = 659/4 = 139.75

so, rate of spreding diseases is 139.75 ~ 140 peoples per day .

To learn more about exponential rate function, refer:

https://brainly.com/question/28596507

#SPJ4

Answer:

2n+7

Step-by-step explanation:

First lets find the common difference which is 2, now we can use this formula to find the nth term.

an = a1 + (n - 1 ) d

an= 9+(n-1)2

=9+2n-2

=2n+7

To check let's insert n=5, 2(5)=10+7=17.

15+2=17!

Tyler needs 28 feet of fencing to enclose his rectangular garden.

We have,

The perimeter of a rectangle is given by the formula:

Perimeter = 2 * (Length + Width)

In this case,

The length of the garden is 8 ft and the width is 6 ft.

Substituting these values into the formula

Perimeter = 2 * (8 ft + 6 ft)

= 2 * 14 ft

= 28 ft

Therefore,

Tyler needs 28 feet of fencing to enclose his rectangular garden.

Learn more about rectangles here:

https://brainly.com/question/15019502

#SPJ12

Answer:

The coordinates are... (4,1), (0,2), (8,3), (4,1)

The transformation of the given triangles is given by ΔA'B'C' where

A' = (0,2), B' = (4,1), C' = (8,3) this transformation can be seen in the attached figure.

The transformation of a two dimensional figure is given by manipulating given figure using translation, rotation or compression or expansion.

Given a triangle ABC with coordinates A (-3,4) , B (1,3) , C (5,5)

The transformation rule is given as :

(x, y ) → ( x+3 , y -2)

Then let the new coordinates of ΔABC are A' , B' , C'

For A' , (-3,4) → ( -3+3 , 4 -2) = (0,2)

A' = (0,2)

For B' , (1,3)  → ( 1+3 , 3-2) = (4,1)

B' =(4,1)

For C' , (5,5)  → ( 5+3 , 5-2) = (8,3)

C' = (8,3)

Therefore the coordinates of the transformed triangle is A' = (0,2),

B' = (4,1), C' = (8,3) and Δ A' B' C' can be seen in the attached figure.

Also, Learn more about the transformations from the link below:

https://brainly.com/question/11709244

#SPJ2