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natima [27]
3 years ago
7

The ratio of the number of boys to the number of girls at school is 4:5. a. What fraction of the students are boys? b. If there

are 120 boys, how many students are there altogether? *
Mathematics
2 answers:
My name is Ann [436]3 years ago
6 0

Answer:

270

Step-by-step explanation:

120÷4= 30

30×5=150

150+120=270

Sergio [31]3 years ago
4 0

Answer: a. 4/9

b. 270 students

Step-by-step explanation:

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The 4 pack is better because it can save a trip back to the store
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A sinusoidal function whose period is 4π, maximum value is 6, and minimum value is -2 has a y intercept of 6. What is the equati
IRINA_888 [86]

Equation of the function: f(x) = 4 sin (x/2) + 6.

<h3>What is sinusoidal function ?</h3>

The term sinusoidal is used to describe a curve, referred to as a sine wave or a sinusoid, that exhibits smooth, periodic oscillation. It is named based on the function y=sin(x).

Given: max value= 6, min value= -2, y-intercept= 6.

As, standard form f(x) = A sin (ωx +φ) + k,

where A is the amplitude, ω is the angular velocity with ω=2πf.

Now,

A = |6- (-2)/2|

A = |6 +2/2| = 8/2

A = 4

Also, ω:

The period of a sinusoidal is T = 1/f

so, f = 1 / T

ω = 2πf

ω = 2π ( 1/T) with T = 4π

ω = 2π (1/(4π) = 2π (2)

ω = 1/2

The y-intercept k = 6

So, equation with values A =4, ω = 1/2, k = 6, φ = 0.

f(x) = A f(x)

f(x) = A sin (ωx +φ) + k

f(x) = 4 sin (x/2) + 6.

Hence, equation of the function f(x) = 4 sin (x/2) + 6.

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4 0
2 years ago
2. Consider the following graph of a quadratic function.
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Answer:

see the procedure

Step-by-step explanation:

Looking at the graph we have

The graph represent a  vertical parabola open upward

The vertex is a minimum

The vertex is the point (-4,-3)

The domain is the interval -----> (-∞,∞)

The Domain is all real numbers

The range is the interval ----> [-3,∞)

y\geq -3

The range is all real numbers greater than or equal to -3

The graph is increasing in the interval (-4,∞)

The graph is decreasing in the interval (-∞,-4)

The minimum of the graph is y=-3 occurs at x=-4

5 0
4 years ago
The stemplot below represents the number of bite-size snacks grabbed by 32 students in an activity for a statistics class. A ste
Karolina [17]

The percentage of this number of snacks grabbed that is greater than 29, as represented by the stem plot is calculated as: A. 16%.

<h3>How to Solve a Stem Plot?</h3>

In a stem plot, each data point is represented as a stem and a leaf, for example, 42 is represented as 4 | 2 on the stem plot.

Given the stem plot for the data of the number of bite-size snacks grabbed by 32 students, the number of snacks grabbed that is greater than 29 are: 32, 32, 34, 38, and 42.

This is 5 out of the total number of the students, which is 32.

Thus, the percentage of this number of snacks grabbed that is greater than 29 would be calculated as:

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Approximated to the nearest tenth, we would have 16%.

Therefore, the percentage of this number of snacks grabbed that is greater than 29, as represented by the stem plot is: A. 16%.

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6 0
2 years ago
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