Ask question

Ask question

All categories

Thepotemich [5.8K]

3 years ago

15

Name the set of 4 consecutive even integers starting with -4. (Put the set in braces { } and put commas between the elements of

the set.)

1 answer:

lbvjy [14]3 years ago

8 0

The set is {-4,-2,0,2}.

You might be interested in

May I please get help with all the questions

bogdanovich [222]

Answer:

1. g(3) = 1

2. (f + g)(2) = f(2) + g(2) = 2 + 3 = 5

3. f(g(4)) = 2

4. g(f(4)) = 1

5. f(f(4)) = 2

6. g(g(2)) = 1

7. base on the chart, the value 3 of g(x) can be gain only for x = 0

5 0

3 years ago

While conducting experiments, a marine biologist selects water depths from a uniformly distributed collection that vary between

aleksandr82 [10.1K]

Answer:

The probability that a randomly selected depth is between 2.25 m and 5.00 m is 0.55.

Step-by-step explanation:

Let the random variable <em>X</em> denote the water depths.

As the variable water depths is continuous variable, the random variable <em>X</em> follows a continuous Uniform distribution with parameters <em>a</em> = 2.00 m and <em>b</em> = 7.00 m.

The probability density function of <em>X</em> is:

$f_{X}(x)=\frac{1}{b-a};\ a$

Compute the probability that a randomly selected depth is between 2.25 m and 5.00 m as follows:

$P(2.25$

$=\frac{1}{5.00}\int\limits^{5.00}_{2.25} {1} \, dx\\\\=0.20\times [x]^{5.00}_{2.25} \\\\=0.20\times (5.00-2.25)\\\\=0.55$

Thus, the probability that a randomly selected depth is between 2.25 m and 5.00 m is 0.55.

6 0

3 years ago

Determine the lateral area and surface area of the given prism. Round answers to the nearest whole number.

vazorg [7]

Answer:

Lateral Area = Area of 2 triangle + Area of slant rectangle + area of back rectangle

Lateral Area = (5m)(3m) + (6m) (36m) + (3m) (36m)

LA = 15m² + 216m² + 108m²

LA = 339 m²

SA = (5m)(3m) + (6m) (36m) + (3m) (36m) + (5m)(36m)

SA = 15m² + 216m² + 108m² + 180 m²

SA = 519 m²

3 0

3 years ago

ABCD is a parallelogram. If a CDA - 57 then BCD-_?

Paha777 [63]

Answer:

57

Step-by-step explanation:

It is given in the question that length CDA = 57.

Since the shape is a parallelogram, then we know that length AD=BC and AB=CD.

CDA = CD + AD

BCD = BC + CD

Since BC=AD and CD=CD

BCD = BC + CD is the same as CD + AD = CDA

Therefore BCD is the same length as CDA = 57

In other words, CDA is made up of a long side and a short side = 57

BCD is also made up of a long side and a short side, and since the longs sides are equal to each other and the short sides are also equal to each other in a parallelogram, BCD is the same length as CDA = 57.

Hope this helped!

3 0

3 years ago

The coordinates of the vertices of a rectangle are (−3, 4) , (7, 2) , (6, −3) , and (−4, −1) . What is the perimeter of the rect

ki77a [65]

Answrer

Find out the what is the perimeter of the rectangle .

To prove

Now as shown in the figure.

Name the coordinates as.

A(−3, 4) ,B (7, 2) , C(6, −3) , and D(−4, −1) .

In rectangle opposite sides are equal.

Thus

AB = DC

AD = BC

Formula

$Disatnce\ formula = \sqrt{(x_{2} - x_{1})^{2} +(y_{2} - y_{1})^{2}}$

Now the points A(−3, 4) and B(7, 2)

$AB = \sqrt{(7- (-3))^{2} +(2- 4)^{2}}$

$AB = \sqrt{(10)^{2} +(-2)^{2}}$

$AB = \sqrt{100+4}$

$AB = \sqrt{104}$

$AB = 2\sqrt{26}\units$

Thus

$CD= 2\sqrt{26}\units$

Now the points

A (−3, 4) , D (−4, −1)

$AD = \sqrt{(-4 - (-3))^{2} +(-1- 4)^{2}}$

$AD = \sqrt{(-1)^{2} +(-5)^{2}}$

$AD = \sqrt{1 + 25}$

$AD = \sqrt{26}\units$

Thus

$BC = \sqrt{26}\units$

Formula

Perimeter of rectangle = 2 (Length + Breadth)

Here

$Length = 2\sqrt{26}\ units$

$Breadth = \sqrt{26}\ units$

$Perimeter\ of\ rectangle = 2(2\sqrt{26} +\sqrt{26})$

$Perimeter\ of\ rectangle = 2(3\sqrt{26})$

$Perimeter\ of\ rectangle = 6\sqrt{26}$

$\sqrt{26} = 5.1 (Approx)$

$Perimeter\ of\ rectangle = 6\times 5.1$

Perimeter of a rectangle = 30.6 units.

Therefore the perimeter of a rectangle is 30.6 units.

8 0

3 years ago