The length of two sides of triangular field are 16 m and 19m . The perimeter of rectangle is 50 cm find the third side?​

Answers

Answer 1

50 - (16 + 19)

= 50 - 35

= 15m


Related Questions

A group of 49 randomly selected students has a mean age of 22.4 years with a standarddeviation of 3.8. Construct a 98% confidence interval for the population mean knowing thatthe population standard deviation is 4.2 years.

Answers

Answer:

The 98% confidence interval for the population mean is between 21 and 23.8 years.

Step-by-step explanation:

We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:

[tex]\alpha = \frac{1 - 0.98}{2} = 0.01[/tex]

Now, we have to find z in the Z-table as such z has a p-value of [tex]1 - \alpha[/tex].

That is z with a pvalue of [tex]1 - 0.01 = 0.99[/tex], so Z = 2.327.

Now, find the margin of error M as such

[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]

In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.

[tex]M = 2.327\frac{4.2}{\sqrt{49}} = 1.4[/tex]

The lower end of the interval is the sample mean subtracted by M. So it is 22.4 - 1.4 = 21 years.

The upper end of the interval is the sample mean added to M. So it is 22.4 + 1.4 = 23.8 years.

The 98% confidence interval for the population mean is between 21 and 23.8 years.

HELP ASAP PLEASE!!!!!!!!

Answers

Answer:

1

Step-by-step explanation:

1 : 1 :sqrt(2)

The legs are  in the ratio of 1 to 1

tan 45 = opp side / adj side

tan 45 = 1/1

tan 45 =1

Answer:

Step-by-step explanation:

Assume that the Poisson distribution applies to the number of births at a particular hospital during a randomly selected day. Assume that the mean number of births per day at this hospital is 13.4224. Find the probability that in a day, there will be at least 1 birth.

Answers

Answer:

0.9999985  = 99.99985% probability that in a day, there will be at least 1 birth.

Step-by-step explanation:

In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:

[tex]P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}[/tex]

In which

x is the number of sucesses

e = 2.71828 is the Euler number

[tex]\mu[/tex] is the mean in the given interval.

Assume that the mean number of births per day at this hospital is 13.4224.

This means that [tex]\mu = 13.4224[/tex]

Find the probability that in a day, there will be at least 1 birth.

This is:

[tex]P(X \geq 1) = 1 - P(X = 0)[/tex]

In which

[tex]P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}[/tex]

[tex]P(X = 0) = \frac{e^{-13.4224}*13.4224^{0}}{(0)!} = 0.0000015[/tex]

Then

[tex]P(X \geq 1) = 1 - P(X = 0) = 1 - 0.0000015 = 0.9999985 [/tex]

0.9999985  = 99.99985% probability that in a day, there will be at least 1 birth.

Identify the two types of incorrect decisions in a hypothesis test. For each incorrect​ decision, what symbol is used to represent the probability of making that type of​ error?

Answers

Answer:

Type I error and Type II error

Explanation:

Type I and Type II errors are statistical errors made in hypothesis testing where an accepted hypothesis is actually the false hypothesis and the other true.

Type I error occurs when the chosen hypothesis is the alternative hypothesis which is false since the null hypothesis is true. We reject the null hypothesis which is actually true.

Type II error occurs when we accept or fail to reject the null hypothesis which is false and reject the alternative hypothesis which is true.

The probability of making a Type I error is represented by your alpha level (α)(we reject when below p-value)

The probability of a type-II error is represented by β which is beta.

Annie bought a 2 3/4 pound roast for the family dinner. A total of 9 people will be at dinner. How many pound of roast will each person get if the roast is divided up equally?

Answers

Answer:

11 /36 of a pound

Step-by-step explanation:

Take the pounds and divide by the number of people

2 3/4 ÷ 9

Change the mixed number to an improper fraction

(4*2+3)/4 ÷9

11/4 ÷9

Copy dot flip

11/4 * 1/9

11/36

if one half of a number is 5 more than 6, what is the value when the number is tripled

Answers

Answer:

66

Step-by-step explanation:

let's use x to represent the unknown number

1/2x is 5 more than 6:

1/2x=5+6

solve to find x

1/2x=11

x=22

next, it asks us what is the value of the number when the number is tripled

since we already found what x is equal to, we can multiply that by 3 to figure out its value when it's tripled

3(22)=66

Using mathematical equation to model the scenario, the value of the number when tripled is 66

Let the number = n

0.5n = 5 + 6

0.5n = 11

Divide both sides by 0.5

n = 22

When n is tripled :

n = 22 × 3

n = 66

Hence, the value of the number when tripled is 66

Learn more : https://brainly.com/question/25480062

Pls if anyone knows the answer that will be greatly appreciated :)

Answers

Answer:

I think the area is 60 but i couldn't figure out the perimeter, sorry.

Step-by-step explanation:

Answer:

perimeter = 36 m

area = 60 m²

Step-by-step explanation:

there is some missing information. for example about the types of the shapes. e.g. if the triangle on the top is an isosceles triangle (2 equal sides). or if the rectangle at the bottom is actually a square with 6 m on all sides. in order to make the sloped side of the top triangle a round, whole number, i assume that the bottom part is a square.

so, the area of this combined shape is the area of the bottom square plus the area of the top triangle.

area square As = 6×6 = 36 m²

so, one side of the triangle is also 6 m, the other is 14-6 = 8 m.

the area of such a right-angled triangle is half of the full rectangle of 6×8.

area triangle At = 6×8/2 = 48/2 = 24 m²

total area = As + At = 36 + 24 = 60 m²

the perimeter of the total shape is the sum of all sides.

so, 14, 6, 6 and ... the baseline/ Hypotenuse of the top triangle.

for that r need the mentioned Pythagoras :

c² = a² + b²

where a and b are the sides, and c is the Hypotenuse (the side opposite of the 90 degree angle).

so, in our case of an isosceles triangle with a 90 degree angle :

c² = 8² + 6² = 64 + 36 = 100

c = 10 m

so, the perimeter is

14+6+6+10 = 36 m

I really need help
Dz,2 of X is
(0-4)
(2,-2)
(6,2)

Answers

9514 1404 393

Answer:

  (6,2)

Step-by-step explanation:

As is often the case with multiple-choice problems, you don't actually need to know the detailed working. You just need to know what the answer looks like.

When point X is dilated by a factor of 2 with point Z as the center of dilation, it will move to a location twice as far from Z. You can tell by looking at the graph that X' will be in the first quadrant, above and to the right of the location of X. The only sensible answer choice is ...

  X' = (6, 2)

_____

Additional comment

X is a distance of X-Z = (4, 0) -(2, -2) = (2, 2) from Z Doubling that will put the image point a distance of 2(2, 2) = (4, 4) from Z. When this is added to Z, we find ...

  X' = Z + (4, 4) = (2+4, -2+4) = (6, 2)

PLz help!!

What is the degree of the polynomial

Answers

Answer:

3 maybe I'm just guessing.

now thats room for an answer again: yeah, 3 is right. its the x³ that defines the degree, its just the biggest power.

[tex] {ap}^{5} ( {a}^{2} + ap) - 12 {a}^{2} {p}^{6} [/tex]
Remove brackets and simplify ​

Answers

The answer would be 16

Evaluate f(x) = X - 8 for x = -8

Answers

Answer:-16

Step-by-step explanation:

Based on experience, the Ball Corporation’s aluminum can manufacturing facility in Ft. Atkinson, Wisconsin, knows that the metal thickness of incoming shipments has a mean of 0.2935 mm with a standard deviation of 0.000924 mm.

(a) A certain shipment has a diameter of 0.2963. Find the standardized z-score for this shipment.

Answers

Answer:

Step-by-step explanation:

the formula attached

Can someone help me on this Please

Answers

9514 1404 393

Answer:

  11.6 cm

Step-by-step explanation:

As the page title tells you, the Pythagorean theorem must be applied more than once. As you know, it tells you the square of the hypotenuse is the sum of the squares of the two sides.

  AD² = ED² +EA²

  EA² = AD²-ED² = 7² -6² = 13

  EA = √13 ≈ 3.606

__

  CD² = ED² +EC²

  EC² = CD² -ED² = 10² -6² = 64

  EC = √64 = 8

__

The length of the horizontal diagonal is ...

  AC = EA +EC = 3.6 +8 = 11.6 . . . cm

The sequence below is arithmetic:

{3, -6, -15, -24}

TRUE OR FALSE

Answers

Answer: TRUE

Step-by-step explanation:

An arithmetic sequence is a sequence in which the difference between each term (number) is a constant.

Given the sequence is {3, -6, -15, -24}

3 - (-6) = 9

-6 - (-15) = 9

-15 - (-24) = 9

As we can see from above, the difference between the given terms is all 9. Therefore, it is indeed an arithmetic sequence.

Hope this helps!! :)

Please let me know if you have any questions

Answer:

true

Step-by-step explanation:

How many pounds of grain is it necessary to grind to get exactly 100 lb of flour, is the payment for the work is 10% of the ground flour? (Assume there are no loses after grinding.)

Answers

Answer:

111.1111... lbs

x -.1x = 100

.9x = 100

x = 100/.9 = 111.1111

Step-by-step explanation:

the set of ordered pairs {(6,4),(2,-5),(-2,4)<(6,-4)} is a function?

Answers

Answer:

Not a function

Step-by-step explanation:

There are two points in the set that have the same x-value or "input": (6,4) and (6,-4). This fails the vertical line test which means that one input will give two potential outputs. This cannot make a function.

The length of a rectangle is 2 centimeters less than three times its width. Its area is 21 square centimeters. Find the dimensions of the rectangle. Use the​ formula, area=length*width.

Answers

Area = length x width

Area = 21 square cm

Width = x

Length = 3x + 2

21 = 3x+ 2 * x

21 = 3x ^2 + 2x

Subtract 21 from both sides:

3x^2 + 2x -21 = 0

Use the quadratic formula to solve for x:

-2 +/- sqrt(2^2-4*3(-21))/(2*3)

X = 7/3 and -3

A dimension can’t be a negative value so x needs to be 7/3

Width = x = 7/3 = 2 1/3 cm

Length = 3(7/3) + 2 = 9 cm

Check: 9 x 2 1/3 = 21

Dimensions: width 2 1/3 cm length 9 cm

Answer:

The dimensions of the rectangle are 7 by 3 centimeters.

Step-by-step explanation:

We are given that the length of a rectangle is two centimeters less than three times its width. In other words:

[tex]\displaystyle \ell = 3w-2[/tex]

Given that the area of the rectangle is 21 square centimeters, we want to determine the dimensions of the rectangle.

Recall that the area of a rectangle is given by:

[tex]A= w\ell[/tex]

Substitute:

[tex](21)=w(3w-2)[/tex]

Solve foro the width. Distribute:

[tex]3w^2-2w=21[/tex]

Isolate the equation:

[tex]3w^2-2w-21=0[/tex]

Factor. Find two numbers that multiply to 3(-21) = -63 and add to -2.

-9 and 7 suffice. Hence:

[tex]3w^2-9w+7w-21=0 \\ \\ 3w(w-3)+7(w-3) = 0 \\ \\ (3w+7)(w-3)=0[/tex]

Zero Product Property:

[tex]3w+7=0\text{ or } w-3=0[/tex]

Solve for each case. Hence:

[tex]\displaystyle w = -\frac{7}{3}\text{ or } w=3[/tex]

Since width cannot be negative, we can ignore the first solution.

Therefore, our width is three centimeters.

And since the length is two less than three times the width, the length is:

[tex]\ell = 3(3) - 2 = 7[/tex]

The dimensions of the rectangle are 7 by 3 centimeters.

Solve the right triangle, ΔABC, for the missing side and angles to the nearest tenth given sides a = 14.9 and b = 17.5.
A. A = 31.6 , B = 58.4 , c = 9.2
B. A = 49.6 , B = 40.4 , c = 23
C. A = 40.4 , B = 49.6 , c = 23
D. A = 40.4 , B = 49.6 , c = 9.2

Answers

Answer:

C. A = 40.4 , B = 49.6 , c = 23

Step-by-step explanation:

First, we need to get the c using the pythagoras theorem;

c² = a²+b²

c² = 14.9²+17.5²

c²  = 222.01 + 306.25

c² = 528.26

c = 22.98

c ≈ 23

Using the sin rule;

a/Sin<A  = c/sin<C

14.9/sin<A = 23/sin90

14.9/sin<A = 23

sin<A = 14.9/23

sin <A = 0.6478

<A = arcsin(0.6478)

<A = 40.4degrees

Also, <A + <B + <C = 180

40.4 + <B + 90 = 180

<B = 180 - 130.4

<B = 49.6degrees

Explain how you could find the shortest distance from A(6, 5) to the line y = 5x – 10. (Use a diagram, be specific, and list all your steps.

Answers

Step-by-step explanation:

I cannot draw a diagram here.

but I can explain what to do in general.

the shortest distance from a point to a line is always via a connecting line that is perpendicular to the given line and his through the given point.

and then the distance from the given point to the intersection point is calculated.

every line is defined in the form like

y = ax + b

where a is the slope of the line, and b is the intersection point on the y-axis (the offset from point 0).

the slope of a line is the ratio y/x defining how many units y changes when x changes a certain amount of units.

in our example,

y = 5x - 10

5 (or rather 5/1) is the slope of the line.

it means that y grows by 5 units every time x grows by 1 unit.

a perpendicular line (cuts the original line with a 90 degree angle) has a related slope : it reverts x and y and flips the sign :

5/1 turns into -1/5

that means at the perpendicular line whenever x grows by 5 units, y goes down by 1 unit.

so, the first approach for the perpendicular line is

y = -1/5 x + b

to get b we use the given point (6, 5) that has to be in the perpendicular line.

5 = -1/5 × 6 + b

25/5 = -6/5 + b

31/5 = b

=> y = -1/5 x + 31/5

the intersecting point is now where both lines are equal

5x - 10 = -1/5 x + 31/5

25x - 50 = -x + 31

26x = 81

x = 81/26

y = 5×(81/26) - 10 = 405/26 - 260/26 = 145/26

the distance of the given point (6, 5) to the line intersection point (81/26, 145/26) is the calculated as

distance² = (6 - 81/26)² + (5 - 145/26)²

distance = sqrt((6-81/26)² + (5-145/26)²)

since the result was not requested here, I save us the calculation.

The number of bacteria in a second study is modeled by the function b_2(t)=800(1.6)^t.
What is the growth rate, r, for this equation?

Answers

Answer:

1.6 = 1 + .6 = 60% growth rate

Step-by-step explanation:


Part A
What is the relationship between squaring and taking the square root? Because of this relationship, what happens when you square a square
root?

Answers

Squaring a number is the inverse of taking its square root. These two operations cancel each other out.

Given the formula x=4ab(b+9), find x if a = 5 and b =7

Answers

Answer:

2240

Step-by-step explanation:

4(5)(7)(7+9)

=2240

Answer:

x = 2240

Step-by-step explanation:

x= 4ab(b+9)

x= 4(5)(7)(7+9)

x= 4(35)(16)

x= 4(560)

x= 2240

The average price of a laptop is $965. Assume laptop prices are approximately normally distributed with a standard
deviation of $100. The least expensive 10% of laptops cost less than what amount?
• Use a TI-83, TI-83 plus, or TI-84 calculator, and round your answer to two decimal places,

Answers

Answer:

$836.8

Step-by-step explanation:

Average price = mean = $965

Standard deviation, = $100

Given that distribution is approximately normal ;

The least expensive 10% of the laptops :

We Obtain the Zscore that corresponds to P(Z ≤ 0.1) ; this means the least 10% of the laptops ;

From, a normal probability distribution table ;

P(Z ≤ 0.1) = - 1.282

We substitute this into the Zscore formula :

Zscore = (x - mean ) / standard deviation

x = price

-1.282 = (x - 965) / 100

-128.2 = (x - 965)

x = - 128.2 + 965

x = $836.8

Hence, price is $836.8

This function is _____over the interval
[tex]x < - 1[/tex]


This function is_____ over the interval l
[tex] - 1 < x < 1[/tex]



Select all of the possible degrees of this polynomial function
2
3
4
5​

Answers

Answer:

the answer to this question is 1

Step-by-step explanation:

the reason to that is because when the line goes over 2 and -2.

Answer:

first part is decreasing and increasing

second part is 3 and 5

Step-by-step explanation:

edg 2021

If you multiply x + 3 by 2x + 5, what will the coefficient of x be?

Answers

Answer:

Answer:     2x^2+11x+15      Coefficient of x is 11 and coefficient of x^2 is 2.

Step-by-step explanation:

(x+3)×(2x+5)=?

           Use FOIL Method                      Foil stands for First Outer Inner Last

Step 1:      (x×2x)        =2x^2                Multiply First Terms together  (x and 2x)

Step 2:     (x×5)         =5x           Multiply Outer terms together (x and 5)

Step 3:    (3×2x)        =6x           Multiply Inner terms together (3 and 2x)

Step 4:     (3×5)         =15            Multiply Last terms together (3 and 5)

2x^2+5x+6x+15             Combine Like Terms

Answer:     2x^2+11x+15

Find the y-intercept from the line passing through (1, 3) and having slope m=2.

Answers

Answer:

The y intercept is 1

Step-by-step explanation:

The slope intercept form of a line is

y = mx+b  where m is the slope and b is the y intercept

y = 2x+b

Substitute the point into the equation and solve for y

3 = 2(1)+b

3 =2+b

1 = b

The y intercept is 1

Y-intercept is (0,1)

Hope this helps! Please make me the brainliest, it’s not necessary but appreciated, I put a lot of effort and research into my answers. Have a good day, stay safe and stay healthy.

A passenger car will go 455 miles on 17.5 gallons of gasoline in city driving. What is the rate in miles per gallon?

Answers

Answer:

26 miles per gallon

Step-by-step explanation:

Take the miles and divide by the gallons

455 miles / 17.5 gallons

26 miles per gallon

Let X be a random variable with density function f(x) = 2e^−2x
Calculate P( X≤ 0.5| X≤ 1)

Answers

By definition of conditional probability,

P(X ≤ 0.5 | X ≤ 1) = P((X ≤ 0.5) and (X ≤ 1)) / P(X ≤ 1)

but if X ≤ 0.5, then it's automatic that X ≤ 1, so

P(X ≤ 0.5 | X ≤ 1) = P(X ≤ 0.5) / P(X ≤ 1)

Given the PDF of X,

[tex]f_X(x) = \begin{cases}2e^{-2x}&\text{if }x\ge0\\0&\text{otherwise}\end{cases}[/tex]

the CDF would be

[tex]P(X\le x) = F_X(x) = \displaystyle\int_{-\infty}^x f_X(t)\,\mathrm dt[/tex]

[tex]F_X(x) = \begin{cases}0&\text{if }x<0\\1-e^{-2x}&\text{if }x\ge0\end{cases}[/tex]

So we have

P(X ≤ 0.5 | X ≤ 1) = (1 - exp(-2 × 0.5)) / (1 - exp(-2 × 1))

… = (1 - exp(-1)) / (1 - exp(-2))

… = (1 - 1/e) / (1 - 1/e ²)

… = (e ² - e) / (e ² - 1)

… = e / (e + 1) ≈ 0.7312

What is the scale factor of the dilation?

PLEASE BE CORRECT

Answers

2
Because
Notice the horizontal side of the red triangle is 2 times that of the blue triangle. Therefore the dilation factor is 2
Scale factor is 2
I could be wrong

Draw the graph of y +5=0 for two and 3 variables

Answers

Answer:

Step-by-step explanation:

y+5=0

y=-5

it is a line down 5 units parallel to x-axis.

you can take infinie points say (1,-5),(5,-5) ,(7,-5) etc.

Answer:

y = - 5

Step-by-step explanation:

In two dimensions, this is a line parallel to the x - axis. You can also think of it as a locus, the infinite set of points fulfilling  (,− 5)  — any real value of x, but y has to be -5.

Extending it to three dimensions, it is a plane parallel to the x-axis and also to the z-axis, or the locus  (,− 5, ).

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