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2 years ago

Use the graph to complete the following. The probability that a boxer weighs between 60 and 80 pounds is %

Mathematics

2 answers:

AlexFokin [52]2 years ago

7 0

Answer:

95%

Step-by-step explanation:

The Empirical rule, also the 68–95–99.7 rule, states that for a population that is approximately normal or symmetrical, nearly all of the data values will lie within three standard deviations of the mean;

68% of data values will fall within one standard deviation from the mean

95% of data values will fall within two standard deviation from the mean

99.7% of data values will fall within three standard deviation from the mean

From the graph given, we note that the weights 60 and 80 pounds fall within two standard deviations from the mean;

70 ± (2*5) = 70 ± 10 = (60, 80)

70 is the mean, 5 the standard deviation and 2 the number of standard deviations from the mean. From the Empirical rule we can conclude that the probability that a boxer weighs between 60 and 80 pounds is 95%

Alona [7]2 years ago

7 0

Answer:

95% on EDGE

Step-by-step explanation:

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O find the minimum value of the quadratic expression −4x2+8x−25,

fredd [130]

Answer:

Marla didn't use the right steps to complete the square. Maria made a mistake in step 1, she put 8x instead of -2x

Step-by-step explanation:

we have

$-4x^{2}+8x-25$

This is a vertical parabola open downward

The vertex is a maximum

Find the vertex

step 1

Factor the leading coefficient -4

$-4(x^{2}-2x)-25$

step 2

Complete the square

$-4(x^{2}-2x+1-1)-25$

step 3

$-4(x^{2}-2x+1)-25+4$

$-4(x^{2}-2x+1)-21$

step 4

Rewrite as perfect squares

$-4(x-1)^{2}-21$

the vertex is the point (1,-21)

The maximum value of the quadratic equation is (1,-21)

therefore

Marla didn't use the right steps to complete the square. Maria made a mistake in step 1, she put 8x instead of -2x

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2 years ago

You operate a fresh fruit and vegetable market. For normal shipments, about 9.0% of the peaches are spoiled when they reached yo

Nastasia [14]

Given:

Spoilage rate of fruits = 9% = 0.09

To find:

Amount of fruits to be order to have 100 pounds of peaches and considering the spoilage rate.

Solution:

Let the required amount of fruits you should order be x.

So, spoiled fruits = 9% of x = 0.09x

He would like to have 100 pounds of peaches to sell.

$x-0.09x=100$

$0.91x=100$

Divide both sides by 0.91.

$x=\dfrac{100}{0.91}$

$x=109.89$

$x\approx 110$

The required amount of fruits to be order is 110 lbs. Therefore, the correct option is D.

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2 years ago

A function of the form f(x) = abx is modified so that the b value remains the same but the a value is increased by 2. How do the

olga nikolaevna [1]

Answer:

The range stays the same.

The domain stays the same.

Step-by-step explanation:

The function $f(x)=ab^{x}$ is an exponential function, where a is the coefficient, b is the base and x is the exponent.

The domain for this kind of functions is: All real numbers.

And the range is: (0,∞); this happen because the exponential functions are always positive when a>0.

Therefore, if the value of a is increased by 2, the domains will stay the same and the range will stay the same: (0,∞). The coefficient does not change the domain or the range if it keeps the same sign.

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2 years ago

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Answer: A Only

Step-by-step explanation:

To determine that a linear model is appropriate, the residual plot should be randomly dispersed.

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Sofia cuts a piece of felt in the shape of a kite for an art project. The top two sides measure 20 cm each and the bottom two si

dolphi86 [110]

In geometry, it is always advantageous to draw a diagram from the given information in order to visualize the problem in the context of the given.

A figure has been drawn to define the vertices and intersections.

The given lengths are also noted.

From the properties of a kite, the diagonals intersect at right angles, resulting in four right triangles.

Since we know two of the sides of each of the right triangles, we can calculate their heights which in turn are the segments which make up the other diagonal.

From triangle A F G, we use Pythagoras theorem to find

h1=A F=sqrt(20*20-12*12)=sqrt(256)=16

From triangle DFG, we use Pythagoras theorem to find

h2=DF=sqrt(13*13-12*12)=sqrt(25) = 5

So the length of the other diagonal equals 16+5=21 cm

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2 years ago