A triangle with two sides that measure 5 cm and
8 cm with an included angle of 39º.

Answer:

3/5

Step-by-step explanation:

Given problem,

→ (1/10) + (1/2)

Let's solve the problem,

→ (1/10) + (1/2)

→ (1/10) + (5/10)

→ 6/10

→ 3/5 {simplest form}

Thus, answer is 3/5.

The type of function best models Mrs. Robinson’s data is A. exponential function.

The formula f(x) = a^x defines an exponential function, where x is the input variable as an exponent. The exponential curve is determined by the exponential function and the value of x. Where an is greater than zero and less than one. x can be any actual number.

Mrs. Robinson created the table, which shows the number of cells in a biology experiment after a certain number of days. The independent variable, or x-value, in an exponential function is the exponent, while the base is a constant.

In this case, we can see that:

2 days = 2² = 4

3 days = 2³ = 8

4 days = 2⁴ = 16

This is an exponential function.

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the 2 values X(19.8,30.2)  is value will 15% of the observations be below .

by hypothesis .

What is hypothesis ?

Here, Mean(\mu) and Standard Deviation (\sigma)= 5. You need to find the 2 values of which the smallest has 15% of the values below it i.e (Z<x)= 0.15 and the largest has 15% of the values above it i.e(Z>y)= 0.15.

Now we need to refer to the Z tables and see which value of x corresponds to 0.15, and we see that -1.04 is = 0.149 \sim 0.15

Now we know that the Z value is given by Z = X - μ/σ

Substituting we get

  -1.04= (X-25)/5

therefore -5.2= X-25 or X= 19.8

Now let us get the value of X for (Z>y)=0.15`. Since Z tables give values for Z<a only, hence we can write that

Z>y=0.15 is the same as Z<y= 1-0.15= 0.85. We now check the Z tables and see which value of Z corresponds to 0.85, and we get 0.850 = +1.04

Again, substituting Z in the equation Z = X - μ/σ

we get

+1.04= (X-25)/5

Therefore 5.2= X-25, therefore X= 30.2

From the 2 values X(19.8,30.2)

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We can put 8 distinguishable balls into 3 distinguishable boxes such that each box has at least one ball in 21 ways.

Given, that there are 3 boxes and we have to put 8 balls in them such that no box is empty.

Let, a + b + c = 8, where a , b , c represent three different boxes.

The equation be reduced by allotting 1 ball to each box so that no box remains empty.

Hence, a + b + c = 5

Now, using the formula of "no. of ways in which 'n' objects can be grouped into 'r' groups" i.e. C(n+r-1 , r-1)

So, the required number of ways = C(5+3-1 , 3-1) = C(7 , 2)

Calculating, C(7 , 2) = (7×6)/2 = 21

Hence, we can put 8 distinguishable balls into 3 distinguishable boxes such that each box has at least one ball in 21 ways.

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The equation of a line on a point (-2,2) is y = -2x-2. That option A is correct.

Here we have to find the equation of a line.

The given data:

Point = ( -2, 2)

Slope(m) = -2

Equation of a line:

y = mx + c

Now putting the values as

y = 2

x = -2

m = -2

We will get the y-intercept.

So we have:

2 = -2 × -2 + c

c = 2 - 4

  = -2

So, y = -2x -2

Therefore we get the equation of line as y = -2x -2.

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Answer: C. 100,000 gallons

Step-by-step explanation:

10,000 gallons a minute.

10 minutes.

10,000 x 10 = 100,000.

Gallons:  10,000     20,000     30,000     40,000     50,000     60,000    

Minutes:       1               2               3                4               5                6              

... 70,000     80,000     90,000     100,000

...      7                8                9              10

Since it is labeled that this triangle has two equal sides, it is isosceles. Isosceles triangles' acute angles are always congruent, so we can infer that there are two angles with a measurement of 29 degrees. Knowing that all of the angles in a triangle add up to 180 degrees, we can set up this equation:

2*29 + 11x - 65 = 180

58 + 11x - 65 = 180

-7 + 11x = 180

11x = 187

x = 17

Knowing that "x = 17" we can find the measurement of the obtuse angle:

11*17 - 65

= 187 - 65

= 122

x = 2/7

see explanation in image

Answer:

b

Step-by-step explanation:

the right side base angle and 80° are vertically opposite angles and are congruent, both 80°

the exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.

123° is an exterior angle of the triangle , then

x + 80 = 123 ( subtract 80 from both sides )

x = 43

Answer:

4 hostel rooms

Step-by-step explanation:

okay so for this all you need to do is read the chart

The balance in Marie saving account in week 20 will be $408  .

In the question ,

it is given that

the amount in Marie's saving account in week 1 is $180 .

amount of money deposited every week is = $12 .

to find the balance in week 20 means , she deposited money for 19 weeks .

the amount deposited in 19 weeks = 19 × 12 = $228

the equation to represent the balance after w weeks = 180 + 12*w

putting w = 19 in the equation , we get

the balance in saving account in week 20 = 180 + 12*19

the balance in week 20 = 180 + 228

= $408

Therefore , The balance in Marie saving account in week 20 will be $408  .

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The value of R when A equal 5 is 3.6 and the value of A when R equal 9 is 2 as R is varies inversely to A.

Proportional relationships are relationships between two variables where their ratios are equivalent.

If R is inversely proportional to A.

R ∝ 1/A, then

R = k/A

Where k is the proportionality constant.

Given that;

First, we determine the proportionality constant.

R = k/A

Plug in R = 12 and A = 1.5 and solve for k

k = R × A

k = 12 × 1.5

k = 18

a) The value of R when A = 5 will be;

R = k/A

R = 18 / 5

R = 3.6

b) The value of A when R = 9

R = k/A
R × A = k

A = k/R

A = 18 / 9

A = 2

Therefore, the value of A when R equal 9 is 2.

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Answer:

May be helpful.

thx.......

Answer: 65°

Step-by-step explanation:

You can determine the total degree within a shape by using the formula 180°(n-2), where n is the number of sides of the shape. Thus, the total degree within the parallelogram is 360°.

Angles sum up to the total degree, meaning we need to add up all the angles we see and set them equal to the total degree. We have two (2x-15) and two x's.  

2(2x-15) + 2x = 360

Distribute the 2 to (2x-15), you will get 4x - 30.

4x - 30 + 2x = 360

Add like terms, 4x + 2x to get 6x.

6x - 30 = 360

Add both sides by 30 to isolate the 6x, because we are trying to determine the value of x, we need to isolate the term.

6x = 390

Divide both sides by 6, and you are left with the value of x being 65°

well, we know WXYZ is a kite, so is a quadrilateral, namely it has 4 sides, and it has two congruent angles, so

[tex]\underset{in~degrees}{\textit{sum of all interior angles}}\\\\ S = 180(n-2) ~~ \begin{cases} n=\stackrel{number~of}{sides}\\[-0.5em] \hrulefill\\ n=4 \end{cases}\implies S=180(4-2)\implies S=360 \\\\[-0.35em] ~\dotfill\\\\ 94+94+112+\measuredangle ZYW=360\implies \implies \measuredangle ZYW=60[/tex]

Check the picture below.

6 hours will it take another train to travel the same distance .

What is speed?

Average speed = Total distance/Total time

A train travels 3 hours at 20km per hour.

 train travels 20 km in 1 hours.

      then in 3 hours train travels = 3 * 20 = 60 km

 total speed = 10 km/hr

          t = distance/speed

           = 60/10 = 6 hours

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Now we have to,

→ find the required value of c.

Formula we use,

→ (AC)² = (BC)² + (AB)²

Then the value of a will be,

→ c² = (8.1)² + (8.1)²

→ c² = 65.61 + 65.61

→ c² = 131.22

→ c = √131.22

→ [ c = 11.46 yd ]

Hence, value of c is 11.46 yd.

The equation of the line in fully simplified slope - intercept form is 5x + y = 8 .

In the question ,

a graph of the line is given , we need to find the equation of the given line in the simplified slope - intercept form .

to find the equation , we need minimum two points ,

So , from the graph

we can see that

when x [tex]=[/tex] 0 , the value of y [tex]=[/tex] 8 ,

the first point is (0 [tex],[/tex] 8) .

when x [tex]=[/tex] 2 , the value of y [tex]=[/tex] -2 ,

the second point is (2 [tex],[/tex] -2) .

the slope can be calculated by

slope = (-2-8)/(2-0)

= -10/2

= -5

So , the equation of the line passing through point (2,-2) with slope -5 , in the slope intercept form is

(y -(-2)) = -5(x-2)

y + 2 = -5x + 10

Simplifying further , we get

5x + y = 10 - 2

5x + y = 8

Therefore , The equation  line in fully simplified slope - intercept form is 5x + y = 8 .

The given question is incomplete , the complete question is

Write the equation of the line in fully simplified slope-intercept form, the line graph is shown below .

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Each bag got 2 pieces of gums and 4 pieces of candies.

Given, that

Ana is making treat bags to give to her 10 students.

She puts x number of gum and 4 pieces of candy in each bag.

She had used a total of 60 pieces.

Now, as she puts 4 pieces of candy in each bag and she prepare total 10 bags.

So, She used total 4×10 = 40 candies

Now, if she used 60 pieces out of which 40 pieces are of candies

Then, 60 - 40 = 20 pieces

20 pieces will be of gums.

So, she puts total 20 pieces of gums in 10 bags

Hence, in each bag she puts 20/10 pieces of gums i.e. 2 pieces of gums

So, each bag got 2 pieces of gums 4 pieces of candies.

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Answer:

The equation for the slope-intercept form is y = 4x - 10

Hope this helps!

Step-by-step explanation:

Slope = [tex]\frac{y_{2}-y_{1} }{x_{2} -x_{1} }[/tex]   Equation = y = mx + b

The two points given are ( -5, 10 ) and ( 0, -10 ).

Putting in the values gives you [tex]\frac{-10-10}{0-(-5)} = \frac{-20}{5} =-4[/tex].

y = 4x + b, to find b, insert one of the points:

-10 = 4(0) + b    ->   -10 = 0 + b,    b = -10

Putting it all together gives you y = 4x - 10

Answer:

Step-by-step explanation:

The answer to be entered in the boxes for the area model is 17, 0 and 17

An area model is a rectangular diagram or model used for solving multiplication and division problems, in which the quotient and divisor define the length and width of the rectangle

Given:

    ....60.....1.............

36|2160 | 36 | 17

2160 ÷ 36 = 60 R 0

36 ÷ 36 = 1 R 0

17  ÷ 36 =  0 R 17

Note:  (0 x 36) + 17 = 17

Therefore, the answer to be entered in the boxes is 17, 0 and 17 respectively

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the equation of the line passing through the given points is y = 3

What is an equation of the line?

An expression which is satisfied by every point on the line is known as equation of the line. generally it is given in y = mx + c form where m is the slope and c is the y-intercept

We are given two point (-7,3) and (5,3)

We first find the slope of the lines passing through the given points

Slope = [tex]\frac{3-3}{5+7}[/tex]

Slope = 0

Substituting the value in the equation we get

y = c

Now the value of y in both the cases is 3

Substituting that we get c = 3

Hence y = 3 is the required equation of the line

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A plumber has a 36-inch pipe that he needs to cut into two pieces, one 8 inches longer than the other. Each piece's length is x = 14, while the other piece's length is 22.

Therefore,

let x = the first piece and x+14 is the second.

2x + 8 = 36

2x = 28

x = 14, the other piece is 22

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The translated absolute value function graphed is defined as follows:

y = |x - 3| + 5.

The absolute value function, of vertex (h,k), is defined by the following piecewise rule, depending on the input of the function:

In this problem, the coordinates of the vertex are given as follows:

Hence the vertex is given by the following point:

(3,5).

Then the equation graphed is defined by the rule presented as follows:

y = |x - 3| + 5.

Which is a translation of 3 units right and 5 units up of the standard absolute value function.

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Normal distributions are frequently employed in the natural and social sciences to describe real-valued regressors with uncertain distributions, normal distributions are essential to statistics.

The central limit theorem is one reason they are significant.

This claim argues that, in some circumstances, the average of many samples (observations) of a random variable with finite variance and mean is itself a random variable, whose distribution tends to become normal with an increase in sample size.

Because of this, distributions of physical quantities that are meant to be the culmination of multiple separate processes, such as error margins, frequently resemble normal distributions.

Only the normal distribution has additional cumulants after the first two that are zero. It is also the continuous distribution with the highest level of entropy for a given mean and variance.

Assuming that the mean and variance are finite, Geary has shown that the normal distribution is the only distribution in which the mean and variance calculated from a collection of independent drawings are independent of one another.

The normal distribution is a form of elliptical distribution. The normal distribution is symmetric about its mean and non-zero over the whole real line.

Consequently, it could not be an appropriate model for variables that are inherently positive or highly skewed, such as a person's weight or the value of a share.

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The type of probability are we starting will be relative frequency probability or the empirical probability,

It is defined as the ratio of the number of favorable outcomes to the total number of outcomes, in other words, the probability is the number that shows the happening of the event.

Given that, Shawna made 67 out of 100 free throw attempts during the course of the basketball season. When we state that she has a 0.67 chance of making a free shot during the postseason,

The ratio of the number of times an event occurs to the total number of outcomes that occurred is known as relative frequency.

Thus, the type of probability are we starting will be relative frequency probability or the empirical probability,

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8.08 percent of babies are born prematurely .

We have following information,

lengths of pregnancy of humans are Normally distributed.

mean of distribution ( μ ) = 268 days

standard deviations of distribution = 15 days

We shall find out the pecent of babies are born. prematurely.

Using the Normal distribution formula ,

Z = ( X - μ ) /σ

where X---> sample mean

μ --> poplution mean

putting the possble values of variables we get,

if a baby born three weaks early then he is considered as premature.

X = 21 , μ = 268 , r =

Z = ( 21-268)/ 15 = - 247/15 = - 16.4

Now, p-value corresponding to Z-value= -16.4 is

8.08..

thus for z= -16.4 , p-value will be 8.08 .. So, 8.08 percent of babies are born prematurely.

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