The heights of male students are normally distributed with a mean of 160 cm and a standard deviation
of 6 cm.
Find the percentage of male students who are less than 148 cm. Round your answers to the nearest
hundredth

Answer:

Step-by-step explanation:

Solve for x=0 and x=1

y(0)=2(3^0)=2(1)=2 so (0,2) is a point.

y(1)=2(3^1)=2(3)=6 so (1,6) is a point.

Only graph B has those two points.

Answer:

this may help you.look it once

Answer:

\(\frac{2/3}{1}\) and \(\frac{3}{1}\)

Step-by-step explanation:

Options

\(\frac{1}{1/3}\)     \(\frac{2/3}{1}\)     \(\frac{2}{3}\)     \(\frac{3}{1}\)     \(\frac{1}{9}\)

Required

Select the unit rates

Unit rate involve two items where the first item being measured can be any positive number, but the second item must be measured in units (i.e. 1)

For clarity:

If \(\frac{a}{b}\) represents unit rate, then \(b = 1\)

Having said that:

Only \(\frac{2/3}{1}\) and \(\frac{3}{1}\) satisfy the condition of unit rates; others are not because they have a denominator other than 1

Answer:

$7.26 is 8.25% of $88.

Step-by-step explanation:

To determine 8.25% of what number is $ 7.26, the following calculation must be performed, using a cross multiplication:

8.25 = 7.26

100 = X

(100 x 7.26) / 8.25 = X

726 / 8.25 = X

88 = X

Therefore, $ 7.26 is 8.25% of $ 88.

Answer:

Y=2x-5

Step-by-step explanation:

Answer:

No 80 ounces isnt 2.5 servings

Step-by-step explanation:

Unit rate means: how many of one thing you have got for 1 of something else. So you end up with something like.

count of some thing

1 of something else

→

unit rate

So for  

80

o

z

2.5

servings

The unit rate is weight of 1 serving

Using the principle of ratios:

Change the 2.5 servings into 1 serving by dividing by 2.5.

For multiply and divide; what you do to the bottom you do to the top.

80

o

z

2.5

servings

≡

80

÷

2.5

2.5

÷

2.5

=

32

1

↑

Note that the sign  

≡

means 'equivalent to'

So unit rate is 32 oz

The average rate of change of the car value is given as follows:

Rate = (9200 - Initial Value)/4.

The average rate of change of a function is given by the change in the output divided by the change in the input.

The change in the output is of:

9200 - Initial value.

The change in the input is of:

4.

(4 years).

Hence the rate is given as follows:

Rate = (9200 - Initial Value)/4.

The initial value is missing, hence the answer was given in terms of the initial value.

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Answer:

Option 4

Step-by-step explanation:

\(x^2+10x=-81 \\ \\ x^2+10x+25=-56 \\ \\ (x+5)^2=-56 \\ \\ x+5= \pm \sqrt{-56}=\pm 2i \sqrt{14} \\ \\ x=-5 \pm 2i \sqrt{14}\)

To establish trust with Martina, the nurse should show respect, use non-verbal communication, incorporate play, involve the parent, and individualize the approach.

To establish a trusting relationship with Martina, the nurse can employ several approaches:

Respect and empathy: The nurse should approach Martina with genuine respect and empathy, recognizing her unique needs and individuality. This can be conveyed through a calm and patient demeanor.

Non-verbal communication: Since Martina may not be responsive to verbal cues, the nurse can utilize non-verbal communication to establish connection and trust. This can include maintaining eye contact, using gentle touch, and respecting Martina's personal space.

Play and familiar objects: Given Martina's engagement with the blue stuffed dog, the nurse can incorporate play into their interactions. Bringing familiar objects or toys that Martina finds comforting can help create a sense of familiarity and security.

Parental involvement: Involving Martina's mother in the care process can be beneficial. The nurse can communicate with the mother, seek her input, and involve her in the administration of medications. This helps build trust not only with Martina but also with her caregiver.

Individualized approach: Recognizing Martina's autistic disorder, the nurse should tailor their approach to her specific needs. Understanding her sensory sensitivities and preferences can help create a safe and comfortable environment.

By implementing these strategies, the nurse can foster trust and a positive therapeutic relationship with Martina, promoting her overall well-being and care.

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Complete Question:

What approach would help the nurse establish a trusting relationship with Martina, a 3-year-old with bronchitis and autistic disorder, who is intensely occupied with a blue stuffed dog and does not seem responsive to the nurse's presence in the room, while the mother is also present?

Answer:

f(-2) = g(-2) this is the answer

Answer:

770,7272727272727

Step-by-step explanation:

Answer:

8478 divided by 11= 770.7272727

The distance of the base of the ladder from the base of the building is equal to 8.17 ft to the nearest tenth using the trigonometric ratio of sine of the angle 65°

The trigonometric ratios involves the relationship of an angle of a right-angled triangle to ratios of two side lengths. Basic trigonometric ratios includes; sine cosine and tangent.

we shall represent the distance of the base of the ladder from the base of the building with the letter x so that:

sin 65° = x/9 ft {adjacent/hypotenuse}

x = sin 65° × 9 ft

x = 8.1568

Therefore, the distance of the base of the ladder from the base of the building is equal to 8.17 ft to the nearest tenth using the trigonometric ratio of sine of the angle 65°.

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Answer:

47.32

Step-by-step explanation:

Answer: >

Step-by-step explanation:

Answer:

≤ ≠

Step-by-step explanation:

-3 is less than 0

The linear function that relates y to x is given as follows:

y = -0.5x + 57.

The slope indicates that the height decays 0.5 feet per minute. The y-intercept indicates that the descent starts at a cruising altitude of 57 feet.

The slope-intercept equation for a linear function is presented as follows:

y = mx + b

The coefficients m and b represent the slope and the intercept, respectively, and are explained as follows:

From the table, when x = 0, y = 57, hence the intercept b is given as follows:

b = 57.

When x increases by 10, y decays by 5, hence the slope m is given as follows:

m = -5/10

m = -0.5.

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Answer:

y=−210+5x

Step-by-step explanation: easy

Therefore , the solution of the given problem of function comes out to be  rate of change for O Function f is -4.

There will be questions on every subject, including created and real places as well as algebraic variable design, on the midterm test. a schematic illustrating the connections between various components that work together to produce the same outcome. A service is made up of many unique parts that work together to produce unique outcomes for each input.

Here,

The appropriate statements, given the facts, are:

The range of function g includes all real values.

The y-intercepts of functions f and g are identical.

The domains of functions f and g are all real integers.

The appropriate answers are thus:

The range of the O Function g includes all real integers.

The steady percent rate of change for X Function g is 125%.

The y-intercepts of X Functions f and g are identical.

O Function f ultimately outperforms function g.

The domains of X Functions f and g are all real integers.

The steady rate of change for O Function f is -4.

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Here is one solution to the puzzle:

Squares: 2, 8, 16

Circles: 5, 7, 14

Total: 26

You can verify that each row of three numbers adds up to 26: 2 + 8 + 16 = 26, 5 + 7 + 14 = 26.

An even number is a number that can be divided into two equal groups. An odd number is a number that cannot be divided into two equal groups. Even numbers end in 2, 4, 6, 8 and 0 regardless of how many digits they have. Odd numbers end in 1, 3, 5, 7, 9.

Therefore, the correct answer is as given above

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Answer:

consistent system with equation \(y=6x+5\)

Step-by-step explanation:

\(18x-3y=-15\),   \(-6x+y=5\)

To solve by substitution, we have to isolate a variable in one of the equations. I will isolate y in the second equation.

\(-6x+y=5\)

+6x           +6x

\(y=6x+5\)

Next, substitute this y value for y in the first equation:

\(18x-3y=-15\)

\(18x-3(6x+5)=-15\)

and distribute.

\(18x-18x-15=-15\)

\(-15=-15\)

We are left with an equality of constants. This means that the system of equations is actually just one equation, meaning it has an infinite number of solvable points (this is sometimes called consistent). And, its equation is just what we solved for in the first step:

\(y=6x+5\)

Answer: Madison can travel 2.2 miles less than Anthony on one gallon of gas.

Step-by-step explanation:

The equation y = 39.1\(x\) represents the number of miles, \(y\), that madison can drive her car for every x gallons of gas.

Question: Madison can travel _ miles _ than Anthony on one gallon of gas.

Lets find how much Madison travels on 1 gallon of gas.

39.1(1) = 39.1

Therefore, Madison travels 39.1 miles on one gallon of gas.

Now lets solve for Anthony

Anthony travels 380.7 miles on 9 gallons of gas.

Therefore we can set up the equation:

9x = 380.7 to show that 9 gallons equates to 380.7 miles

to solve divide 9 from both sides

\(\frac{9x}{9} =\frac{380.7}{9}\)

x = 41.3

So, Anthony travels 41.3 miles on one gallon of gas

Now find whether Madison travels more or less than Anthony on one gallon.

39.1 - 41.3 = -2.2

This means that Anthony can travel 2.2 miles more than Madison.

For your answer, this means that:

Madison can travel 2.2 miles less than Anthony on one gallon of gas

Hope this helped and have a nice day :)

Answer:

0.7

Step-by-step explanation:

1.86-2.56

=1.86-2.56

=1.86+-2.56

=-0.7

Answer:0.7

Step-by-step explanation:

Answer:

Three million two thousand six hundred thirty-nine

Hope that helped.!

The solutions are: x = ln(2) for 2eˣ = 4,  x = ln(25)/4 for e⁴ˣ = 25, x = ln(72) for eˣ = 72 and x = ln(124)/3 for e³ˣ = 124.

To solve these equations using natural logarithm, we can use the following rules:

Using these rules, we can solve the given equations as follows:

2eˣ = 4

Divide both sides by 2 to get

eˣ = 2.

Take the natural logarithm of both sides to get

ln(eˣ) = ln(2).

Using rule 1 above, we can simplify ln(eˣ) to x, and we get

x = ln(2).

e⁴ˣ = 25

4x = ln(25).

Divide both sides by 4 to get

x = ln(25)/4.

eˣ = 72

Take the natural logarithm of both sides to get

x = ln(72).

e³ˣ = 124

Take the natural logarithm of both sides to get

3x = ln(124).

Divide both sides by 3 to get

x = ln(124)/3.

For the second set of equations, we use the same rule as above

So, we have

ln(x - 3) = 2

x - 3 = e²

x = e² + 3.

x ≈ 10.389.

Therefore, the solution is x ≈ 10.389.

ln(2t) = 4

2t = e⁴

t = 0.5 * e⁴

t ≈ 27.299.

Therefore, the solution is t ≈ 27.299.

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Answer:

depends how much the pizza is

The interval over which the functions have the same average rate of change is given as follows:

x = 1 to x = 2.

The average rate of change of a function is given by the change in the output divided by the change in the input.

The function g(x) is given as follows:

g(x) = 18x + 12.

It is a linear function with a slope of 18, hence the average rate of change over each interval is of 18.

For function f(x), the rates are given as follows:

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Answer:

  (x -14)² +(y -7)² = 1²

Step-by-step explanation:

You want the equation of the circle that represents the border of a logo centered 14 m right and 7 m up from the lower left corner of a soccer field. The logo is 2 m in diameter.

The equation of a circle with center (h, k) and radius r is ...

  (x -h)² +(y -k)² = r²

Since the origin of the coordinate system is the lower left corner of the field, the center is located at (h, k) = (14, 7). The diameter of 2 m means the radius is 1 m. Using these values in the equation, it becomes ...

  (x -14)² +(y -7)² = 1²

The area of the shaded portion of the composite figure could be easily 25*25 - 1/2*13*10 that is 625 - 65 = 560 feet

When referring to a two-dimensional space or points, in mathematics, the term "area" is used. It refers to a region's or a flat object's size, such a square or rectangle. The area of a form is determined in geometry by dividing the length by the breadth. For example, the area of a square with a side length of 4 units is 4 x 4 = 16 square units. Square units, such as square inches, square feet, or square meters, are used to measure area. Triangles (1/2 x base x height), circles ( x radius squared), and trapezoids (1/2 x (base 1 + base 2) x height) are other basic geometric forms with associated area calculations.

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Answer:

90%=9/10=0.9

0.9=90%=9/10

900%=900/1000=0.9

9/10%=0.9=90%

Step-by-step explanation:

Answer:  A   9/10 or 0.9

               B    0.9 = 9/10 or 90%

               C    0.9 or 900/1000

               D    0.9 or 90%

Step-by-step explanation: