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3 years ago

If D=25 use information in the figure below to determine angle F

Mathematics

1 answer:

Sloan [31]3 years ago

8 0

Answer:

130°

Step-by-step explanation:

DEF is an isosceles triangle with base DE and DF = EF.

By definition, base angles of an isosceles triangle are equal.

Hence ∠FDE = ∠DEF = 25°

Angle F = 180° - ∠FDE - ∠DEF

= 180° - 25° - 25°

= 130°

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Find the mean and standard deviation for the set of data.

dem82 [27]

The mean and standard deviation for the set of data will be 16 and 5.87. Then the correct option is A.

<h3>What is a standard deviation?</h3>

It is the measure of the dispersion of statistical data. Dispersion is the extent to which the value is in a variation.

The set of data is given below.

16, 22, 8, 5, 20, 18, 14, 17, 24

The mean of the data set will be

μ = (16 + 22 + 8 + 5 + 20 + 18 + 14 + 17 + 24) / 9

μ = 144 / 9

μ = 16

Then the standard deviation of the data set will be

$\rm \sigma = \sqrt{\dfrac{\Sigma (x_i - \mu)^2}{n}} \\\sigma = \sqrt{\dfrac{(16 - 16)^2 +(22 - 16)^2 + (8-16)^2 + ......+(24-16)^2 }{9}} \\\sigma = \sqrt{\dfrac{310}{9}}\\$

Simplify the expression further, then we have

σ = √34.44

σ = 5.87

The mean and standard deviation for the set of data will be 16 and 5.87.

Then the correct option is A.

More about the standard deviation link is given below.

brainly.com/question/12402189

#SPJ1

3 0

1 year ago

What is the distance from the point (−3, −b, c) to the origin?

lord [1]

Answer:

$\sqrt{9+b^2+c^2}\,\text{units}$

Step-by-step explanation:

The distance formula tells you the distance d between the points (0, 0, 0) and (-3, -b, c) is ...

d = √((x2 -x1)² +(y2 -y1)² +(z2 -z1)²) = √((-3-0)² +(-b-0)² +(c-0)²)

= √(9 +b² +c²)

4 0

3 years ago

Read 2 more answers

HELP!

maksim [4K]

<u /> $4x^2 -7x-15=0\\\\(4x+5)(x-3)=0\\\\x=-\frac{5}{4}, 3$

So, the x-intercepts are $\boxed{\left(-\frac{5}{4}, 0 \right), (3,0)}$

The vertex will be a minimum because the coefficient of $x^2$ is positive.

The x-coordinate of the vertex is $x=-\frac{-7}{2(4)}=\frac{7}{8}$

Substituting this back into the function, we get $f\left(\frac{7}{8} \right)=4\left(\frac{7}{8} \right)^2 -7\left(\frac{7}{8} \right)^2 -15=-\frac{289}{16}$

So, the coordinates of the vertex are $\boxed{\left(\frac{7}{8}, -\frac{289}{16} \right)}$

Plot the vertex and the x-intercepts and draw a parabola that passes through these three points.

The graph is shown in the attached image.

7 0

2 years ago

Simplify (4x+5y)(2x-3y)+3xy<br><br> Help

amid [387]

Answer:

8x² - 15y² + xy

Step-by-step explanation:

(4x + 5y) (2x - 3y) + 3xy

multiplying the terms in brackets

(4x) (2x - 3y) + (5y) (2x - 3y) + 3 xy

multiplying with each terms inside the bracket

(4x)(2x) - (4x) (3y) + (5y) (2x) - (5y) (3y) + 3xy

doing the product each of the pair of terms

8x² - 12xy + 10xy - 15y² + 3xy

taking the sum of terms with coefficient "xy"

8x² - 15y² -2xy + 3xy

8x² - 15y² + xy

3 0

3 years ago

A pipe is 10 ft long. It need to be cut into pieces that are each 2/5 feet long. How many pieces can be made from the pipe?

e-lub [12.9K]

The answer is 25. To check 10/.4 is 25 and 0.4 equals to 2/5

3 0

3 years ago