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2 years ago

In a mathematics class, the following test scores were recorded for a student. Find the mode 90, 99, 95, 78, 81, 89

Mathematics

2 answers:

tatyana61 [14]2 years ago

8 0

Answer:

78,81,89,90,95,99

Step-by-step explanation:

there is no mode because none of the numbers repeat themselves

Grace [21]2 years ago

7 0

The mode is simply the number that appears the most in a given list.

There is no mode here.

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Find the variable of each ............

QveST [7]

Answer:

The answer is option d.

To find a we have to first find b

sin 60° = b / 10

b = 10 sin 60°

b = 5√3

sin 30° = b / a

b = 5√3

a = 5√3 sin 30°

a = 10√3

cos 30° = c / a

a = 10√3

c = 10√3 sin 30°

c = 15

cos 60° = d /10

d = 10 cos 60°

d = 5

a = 10√3 , b = 5√3 , c = 15 and d = 5

Hopethis helps.

4 0

2 years ago

A large company put out an advertisement in a magazine for a job

vova2212 [387]

Answer:

C(19)=12 responses

Step-by-step explanation:

Exponential Decay Function

The exponential function is frequently used to model natural growing or decaying processes, where the change is proportional to the actual quantity.

An exponential decaying function can be expressed as follows:

$C(t)=C_o\cdot(1-r)^t$

Where:

C(t) is the actual value of the function at time t

Co is the initial value of C at t=0

r is the decaying rate, expressed in decimal

The company puts out an advertisement for a job opening. Initially, the company got 90 responses to the advertisement. Each day, the responses declined by 10%.

This is an example where the decay model can be used to calculate the responses to the advertisement at the day t.

The initial value is Co=90, the decaying rate is r=10% = 0.10. The model is written as:

$C(t)=90\cdot(1-0.1)^t$

Calculating:

$C(t)=90\cdot(0.9)^t$

We are required to calculate the number of responses at day t=19, thus:

$C(19)=90\cdot(0.9)^{19}$

C(19)=12 responses

8 0

2 years ago

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nydimaria [60]

Answer:

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Step-by-step explanation:

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2 years ago

What is a formula for the nth term of the given sequence? 36, 24, 16...

SpyIntel [72]

Answer:

The formula to find the nth term of the given sequence is 54 · $\frac{2}{3} ^{n}$

Step-by-step explanation:

The formula for nth term of an geometric progression is :

$a_{n} = \frac{a_{1}(r^{n})}{r}$

In this example, we have $a_{1}$ = 36 (the first term in the sequence) and

r = $\frac{2}{3}$ (the rate in which the sequence is changing).

Knowing what the values for r and $a_{1}$ are, now we can solve.

$a_{n} = \frac{a_{1}(r^{n})}{r}$ = $\frac{36 (\frac{2}{3} ^{n}) }{\frac{2}{3} }$ = 54 · $\frac{2}{3} ^{n}$

Therefore, the formula to find the nth term of the given sequence is

54 · $\frac{2}{3} ^{n}$

3 0

2 years ago

Verify the following trig identities.

bagirrra123 [75]

Answer:

see explanation

Step-by-step explanation:

Using the trigonometric identities

• 1 + cot² x = csc²x and csc x = $\frac{1}{sinx}$

• sin²x + cos²x = 1 ⇒ sin²x = 1 - cos²x

Consider the left side

sin²Θ( 1 + cot²Θ )

= sin²Θ × csc²Θ

= sin²Θ × 1 / sin²Θ = 1 = right side ⇔ verified

-----------------------------------------------------------------

Consider the left side

cos²Θ - sin²Θ

= cos²Θ - (1 - cos²Θ)

= cos²Θ - 1 + cos²Θ

= 2cos²Θ - 1 = right side ⇒ verified

3 0

2 years ago