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3 years ago

The graph shown is the graph of f(x) = cos(x). True or False

Mathematics

1 answer:

nordsb [41]3 years ago

6 0

This is true. the trigo functions sine and cosine are sinusoidal in behavior, which means they form wave-like patterns. To determine if it's a sine or cosine function, you look at point at its y-intercept. If it starts from the bottom, then that is a sine wave, In this case, it starts from the top, so it is a cosine function.

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Estimates the sum of 1/2-1/3

VladimirAG [237]

<span>decimal: 0.166666667

fraction: 1/6

this is if you were asking the difference which is subtraction, you asked for the sum and the difference
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8 0

3 years ago

Joel bought a new Play Station game for $54.00. He received a discount of 30% off the original price. Which fraction or decimal

Gre4nikov [31]

Answer:

0.3 or 3/10

Step-by-step explanation:

100%=1 so 30%=0.3

7 0

3 years ago

Read 2 more answers

Length of a rectangle is 3 times it’s width perimeter 48 find area

valkas [14]

Answer:

Let width = l

Therefore, length = 3l

Perimeter = 2(l+b)

48 = 2(l+3l)

48 = 2× 4l

48 = 8l

8l = 48

l = 48/8

l = 6

Width = 6

Therefore, length = 3×6

= 18

Area = l×b

= 18×6

= 108

Step-by-step explanation:

If you like my answer than please mark me brainliest thanks

6 0

3 years ago

A line that passes through the points (2,7) and (6,15)<br> Show work.

s2008m [1.1K]

Answer:

The equation of the line is y = 2x + 3

Step-by-step explanation:

In order to find this, we first need to find the slope. For that we use slope intercept form.

m(slope) = (y2 - y1)/(x2 - x1)

m = (15 - 7)/(6 -2)

m = 8/4

m =2

Now that we have this, we can use the slope and either point in slope-intercept form to get the equation.

y - y1 = m(x - x1)

y - 7 = 2(x - 2)

y - 7 = 2x - 4

y = 2x + 3

8 0

3 years ago

Ten items are to be sampled from a lot of 60. If more than one is defective, the lot will be rejected. Find the probability that

stellarik [79]

Answer:

(a) The probability of that the lot will be rejected is 0.1904.

(b)The probability of that the lot will be rejected is 0.5315 .

(c)The probability of that the lot will be rejected is 0.7026.

Step-by-step explanation:

The formula of Hypergeometric distribution is

$P(X=x)=\frac{(^{R}C_x)( ^{N-R}C_{n-x})}{^NC_n}$

N= number of population

R= The number of success event

n= sample of size

(a)

Given that, N= 60, R=5 and n=10

More than 1 is defected, the lot will be rejected.

X is random variable and defined the number of rejected item.

P(X>1)=1-P(X≤1)

=1 - P(X=0) - P(X=1)

$=1- \frac{(^5C_0)(^{60-5}C_{10-0})}{^{60}C_{10}}-\frac{(^5C_1)(^{60-5}C_{10-1})}{^{60}C_{10}}$

=1 - 0.3879 - 0.4217

=0.1904

The probability of that the lot will be rejected is 0.1904.

(b)

N= 60, R=10 and n=10

X is random variable and defined the number of rejected item.

P(X>1)=1-P(X≤1)

=1 - P(X=0) - P(X=1)

$=1- \frac{(^{10}C_0)(^{60-10}C_{10-0})}{^{60}C_{10}}-\frac{(^{10}C_1)(^{60-10}C_{10-1})}{^{60}C_{10}}$

=1-0.1362-0.3323

=0.5315

The probability of that the lot will be rejected is 0.5315 .

(c)

N= 60, R=20 and n=10

X is random variable and defined the number of rejected item.

P(X>1)=1-P(X≤1)

=1 - P(X=0) - P(X=1)

$=1- \frac{(^{20}C_0)(^{60-20}C_{10-0})}{^{60}C_{10}}-\frac{(^{20}C_1)(^{60-20}C_{10-1})}{^{60}C_{10}}$

=1 -0.2249 - 0.0725

=0.7026

The probability of that the lot will be rejected is 0.7026.

4 0

3 years ago