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nordsb [41]
2 years ago
9

Which input was substituted into the function f(x) = x to create the given graph? f(x + 2.5) f(x – 2.5) f f (StartFraction 5 Ove

r 2 EndFraction x) f f (StartFraction 2 Over 5 EndFraction x)
Mathematics
1 answer:
amm18122 years ago
6 0

When a coordinate plane with a line graphed passing through (negative 2.5, negative 5) and (2.5, 0), the input that was substituted into the function f(x) = x to create the given graph is f(x-2.5).

<h3>What is a coordinate plane?</h3>

A coordinate plane is a two-dimensional plane formed by the intersection of two number lines.

In this case, when a coordinate plane with a line graphed passing through (negative 2.5, negative 5) and (2.5, 0), the input that was substituted into the function f(x) = x to create the given graph is f(x-2.5).

Learn more about coordinate plane on:

brainly.com/question/2644832

#SPJ1

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Tentukan mean, median, dan modus dari 7,4,5,6,7,4,5,7,8,9, dan 6
Anvisha [2.4K]

Answer:

<h3>Median = 6</h3><h3>Mean = 6,1</h3><h3>Modus = 7</h3>

Step-by-step explanation:

Median (Nila tengah setelah data diurutkan)

= 4, 4, 5, 5, 6, 6, 7, 7, 7, 8, 9

= 6

Mean

= jumlah data / banyak data

= 4+4+5+5+6+6+7+7+7+8+9/11

= 68/11

= 6,1

Modus

= data yang paling banyak muncul

= 7 (muncul sebanyak 3 kali)

3 0
3 years ago
Forty percent of households say they would feel secure if they had $50,000 in savings. you randomly select 8 households and ask
Kay [80]

Answer:

Let X be the event of feeling secure after saving $50,000,

Given,

The probability of feeling secure after saving $50,000, p = 40 % = 0.4,

So, the probability of not  feeling secure after saving $50,000, q = 1 - p = 0.6,

Since, the binomial distribution formula,

P(x=r)=^nC_r p^r q^{n-r}

Where, ^nC_r=\frac{n!}{r!(n-r)!}

If 8 households choose randomly,

That is, n = 8

(a) the probability of the number that say they would feel secure is exactly 5

P(X=5)=^8C_5 (0.4)^5 (0.6)^{8-5}

=56(0.4)^5 (0.6)^3

=0.12386304

(b) the probability of the number that say they would feel secure is more than five

P(X>5) = P(X=6)+ P(X=7) + P(X=8)

=^8C_6 (0.4)^6 (0.6)^{8-6}+^8C_7 (0.4)^7 (0.6)^{8-7}+^8C_8 (0.4)^8 (0.6)^{8-8}

=28(0.4)^6 (0.6)^2 +8(0.4)^7(0.6)+(0.4)^8

=0.04980736

(c) the probability of the number that say they would feel secure is at most five

P(X\leq 5) = P(X=0) + P(X=1) + P(X=2) + P(X=3) + P(X=4) + P(X=5)

=^8C_0 (0.4)^0(0.6)^{8-0}+^8C_1(0.4)^1(0.6)^{8-1}+^8C_2 (0.4)^2 (0.6)^{8-2}+8C_3 (0.4)^3 (0.6)^{8-3}+8C_4 (0.4)^4 (0.6)^{8-4}+8C_5(0.4)^5 (0.6)^{8-5}

=0.6^8+8(0.4)(0.6)^7+28(0.4)^2(0.6)^6+56(0.4)^3(0.6)^5+70(0.4)^4(0.6)^4+56(0.4)^5(0.6)^3

=0.95019264

8 0
3 years ago
What is the volume of the cuboid (the box) in this figure? (no need to enter the units)
poizon [28]

Answer:

220 cm

Step-by-step explanation:

Multiply length x width x height

22 x 5 x 2

110 x 2

220 cm

6 0
3 years ago
How many dots will figure n have? Explain how you know this.
LenKa [72]
N = ((n-1) + 4) + 4, to my understanding. 
although your answers seem right written in the columns, but your method of applying numbers to equation seems incorrect in 'expand' column. for example, answer for 3 should be something like this...
3   21   17+4
4   25    21+4
hope it helps.
5 0
3 years ago
Read 2 more answers
A semicircular archway is built in front of a garden using 8 congruent granite tiles, as shown in the diagram. Find the area of
iris [78.8K]
Given: 
8 tiles
radius from the center of the archway to the inner edge of the tile. 7 ft.
radius from the center of the archway to the outer edge of the tile. 8 ft = 7 ft + 1 ft.

Area of a semi circle = π r² / 2 
A = (3.14 * (7ft)²) / 2 = (3.14 * 49ft²) / 2 = 153.86 ft² / 2 = 76.93 ft²
A = (3.14 * (8ft)²) / 2 = (3.14 * 64ft²) / 2 = 200.96 ft² / 2 = 100.48 ft²

100.48 ft² - 76.93 ft² = 23.55 ft²
23.55 ft² / 8 tiles = 2.94 ft² per tile.
3 0
3 years ago
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