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1 year ago

If the area of the rectangle is 42 square units, what is the area of the shaded part?

Mathematics

1 answer:

MArishka [77]1 year ago

4 0

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The Tennessee Tourism Institute (TTI) plans to sample information center visitors entering the state to learn the fraction of vi

baherus [9]

Answer: 2185

Step-by-step explanation:

Let p be the proportion of visitors are campers.

Given : The Tennessee Tourism Institute (TTI) plans to sample information center visitors entering the state to learn the fraction of visitors who plan to camp in the state.

The prior proportion of visitors are campers : p=0.35

Allowable error : E= 2%= 0.02

We know that the z-value for 95% confidence = $z_c=1.96$

Then by Central Limit Theorem , the required sample size would be :

$n=p(1-p)(\dfrac{z_{c}}{E})^2$

$\Rightarrow\ n=0.35(1-0.35)(\dfrac{1.96}{0.02})^2\\\\ n= 0.35(0.65)(9604)$

Simply , we get

$n=2184.91\approx2185$ [Rounded to the next whole number.]

Hence, the smallest sample size to estimate the population proportion of campers =2185

7 0

1 year ago

Drag the tiles to the correct boxes to complete pair. Two cards are drawn from a well-shuffled standard deck of cards. Match eac

joja [24]

Answer:

The correct answers are given below

Step-by-step explanation:

In a deck of 52 cards, there are 4 suits of 13 cards

1) Spade(red)

2). Heart(red)

3). Diamonds (red)

4). Clubs (black)

Each suits area ace, king, queen, jack, 10, 9, 8, 7, 6, 5, 4, 3 and 2

To find the probabilities

1). The probability of drawing a red ace followed by another ace of any color without replacement = 2/52 *3/51 = 1/442

2). The probability of drawing a 3 or 5 followed by a 4 or 6 with replacement = 8/52 * 8/52 = 4/169

3). The probability of drawing a king followed by queen with replacement = 4/52 * 4/52 = 1/169

4). The probability of drawing a spade followed by a jack of any color with replacement = 13/52 * 4/52 = 1/52

8 0

1 year ago

Read 2 more answers

A has the coordinates (–4, 3) and B has the coordinates (4, 4). If DO,1/2(x, y) is a dilation of △ABC, what is true about the im

loris [4]

Answer:

Coordinates of Vertices of triangle ABC are A (-4,3) , B(4,4) and C(1,1).

As, DO is Dilation of Δ ABC by Scale factor of $\frac{1}{2}$ .

Vertices of A' B'C' are

$A'=(\frac{-4}{2},\frac{3}{2})=(-2,\frac{3}{2}), B'=(\frac{4}{2},\frac{4}{2})=(2,2), C'=(\frac{1}{2},\frac{1}{2})$

So, Image Δ A'B'C' will be smaller than the Pre image Δ ABC.

The two triangles will be congruent.

AO is Dilated by a factor of half , so A'O' will be half of AO.

So, correct Statements are

1. AB is parallel to A'B'.

2.DO,1/2(x, y) =

The distance from A' to the origin is half the distance from A to the origin.

$OA=\sqrt{(-4)^2+3^2}=\sqrt{25}=5\\\\ O'A'=\sqrt{2^2+(\frac{3}{2})^2}=\frac{5}{2}=2.5$

8 0

1 year ago

Read 2 more answers

E varies directly with the square root of C. If E=40 when C=25, find: C when E = 10.4

sukhopar [10]

Answer: C = 1.69

Step-by-step explanation:

E is proportional to √C

To remove proportionality, introduce a constant (k).

E = k × √C

From question,

E = 40 and C = 25

So,

40 = k ×√25

40 = k × 5

k = 8

Now,

C = ?

E = 10.4

k = 8

E = k × √C

10.4 = 8 × √C

10.4 / 8 = √C

( 10.4 / 8 ) ^ 2 = C

C = 1.69

6 0

2 years ago

Read 2 more answers

Jalen bought 4 bottles of water, 2 bags of cashews, and a fruit salad. The cost of the fruit salad was $5. This expression was u

butalik [34]

The statment is correct but if you have to work out the value of x you need a total amount of the purchase without that or atleast some sort of value it is not possible to work out

3 0

1 year ago