State of the two triangles are congruent if they are state how you know.

Answer:

The 90% confidence interval, C.I = (0.693, 0.7307)

Step-by-step explanation:

Catalysts 1 and catalyst 2 have the following statistical data;

Catalyst 1

The number of batches in the sample, n₁ = 12

The average yield by the 12 batches of catalyst 1, [tex]\overline x_1[/tex] = 85

The sample standard deviation, s₁ = 4

Catalyst 2

The number of batches in the sample, n₂ = 10

The average yield, [tex]\overline x_2[/tex] = 81

The standard deviation, s₂ = 5

F-test = s₂²/s₁² = 5²/4² = 1.5625

The degrees of freedom, df = n₁ + n₂ - 2

∴ df = 12 + 10 - 2 = 20

The critical-t at 90% confidence level = 1.725

The F-test < The critical-t, we pool the variance

The 90% confidence interval with the assumption of equal variance is given as follows;

[tex]The \ 90\% \ confidence \ interval= \left (\bar{x}_{1}- \bar{x}_{2} \right )\pm t_{\alpha /2} \times (s_p) \times \sqrt{\dfrac{1^{2}}{n_{1}}+\dfrac{1^{2}}{n_{2}}}[/tex]

[tex]s_p =\sqrt{\dfrac{\left ( n_{1}-1 \right )\cdot s_{1}^{2} +\left ( n_{2}-1 \right )\cdot s_{2}^{2}}{n_{1}+n_{2}-2}}[/tex]

Therefore;

[tex]s_p[/tex] = √((12 - 1)×4² + (10 - 1)×5²)/(12 + 10 - 2)) ≈ 4.48

Therefore, we get;

[tex]C.I. = \left (85- 81 \right )\pm 1.725 \times 4.48 \times \sqrt{\dfrac{1}{12}+\dfrac{1}{10}}[/tex]

The 90% confidence interval, C.I = 0.693 < μ₁ - μ₂ < 7.307 = (0.693, 0.7307).

Answer:

Quedan 511 páginas por leer en la tercera semana.

Step-by-step explanation:

Si el libro tiene 1267 y debe leerse en 3 semanas, se ha leído 189 páginas en la primera semana y 567 páginas en la segunda semana, es decir, el triple del número de páginas leídas en la semana anterior, la cantidad de páginas por leer para la tercera se determina mediante la siguiente sustracción:

[tex]x = 1267 - 189 - 567[/tex]

[tex]x = 511[/tex]

Quedan 511 páginas por leer en la tercera semana.

Answer:

The answer is B! P(Y and R) = StartFraction (8 C 1) (5 C 1) Over 25 C 2 EndFraction

Answer:

The Second Option

Step-by-step explanation:

Edge '21

Answer:

the sum of the interior angles = 360°

A kite has 4 sides.

This is the formula for the sum of the interior angles of any polygon:

N = number of sides

the sum of the interior angles = (N x 180°) - 360°

so, N = 4, then:

(4 x 180°) - 360° = 360°

Answer:

[tex]S_{DA}=-11[/tex]

Step-by-step explanation:

From the question we are told that:

The Vertices points for DAN

[tex]D= (2.5,3)[/tex]

[tex]A=(3.2,- 4.7)[/tex]

[tex]N=(-6.9.3)[/tex]

Generally the equation for slope of DA [tex]S_{DA}[/tex] is mathematically given by

 [tex]S_{DA}=\frac{y_2-y_1}{x_2-x_1}[/tex]

 [tex]S_{DA}=\frac{-4.7-3}{3.2-2.5}[/tex]

 [tex]S_{DA}=-11[/tex]

Answer:

Either A or D

Step-by-step explanation:

I got It right Hope it helps this you guys

[tex]circumference \: of \: circle \: = 2 \: \pi \: r[/tex]

38 = 2πr

r = 38/2π

r = 38÷6.28

r = 6 cm

Answer:

the two numbers are six and four

Step-by-step explanation: 6+4=10    6x4=24

Answer:

option C

Step-by-step explanation:

Answer:

10

Step-by-step explanation:

30/100*x=3

Multiply both sides by 100 and divide both by 30

You get the answer x=10

Answer:

10

Step-by-step explanation:

DO this 3x100/30 and you get 10

Answer:

s=30

Step-by-step explanation:

15s-100=350 =>15s=350+100 =>15s=450 => s=450/15 = 30 => s=30

Have a nice day !

Answer:

[tex]2x + 12 = \frac{180}{2} = 90 \\ 2x = 78 \\ x = 39[/tex]

Answer:

67 degrees

Step-by-step explanation:

All angles in a triangle add up to 180 degrees. So...

23 + x + 90 = 180

113 + x = 180

x = 67 degrees

Answer:

Step-by-step explanation:

For this problem use 3.14 for , and any non-integer answers should be entered as decimals rounded to the hundredths place. Lannon is designing a carnival game for a school event. She has a large wooden square and she needs to cut out a circle from the middle. The circumference of the circle that she plans to cut out is 56.52 inches. What is the radius

The formula for circumference of a circle = 2πr

Circumference = 56.52 inches

r = Circumference/2π

r = 56.52/2π

Answer:

12

Step-by-step explanation:

hi

Equation which describe relationship between total cost and number of t-shirt is    [tex]c(t)=75.93e^{0.06t}[/tex].

Data given are ,

Number of t-shirt (t)                  total cost c(t)

12                                            156

17                                             211

22                                            266

According to above table, exponential function best describes the relationship between the total cost, c(t), and the number of T-shirts, t.

Let,        [tex]c(t)=Ae^{kt}[/tex]

Substitute ,   t=12  and c(t) = 156

We get,     [tex]156=Ae^{12k}.......(1)[/tex]

Substitute ,  t=17 and c(t) = 211

We get,     [tex]211=Ae^{17k} ........(2)[/tex]

After solving above equations.

We get,    A = 75.93  and  k = 0.06

Thus,     [tex]c(t)=75.93e^{0.06t}[/tex]

Learn more:

https://brainly.com/question/12626186

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

[tex](10a^5b^4-15a^4b^5+5a^3b^3)\div(-5a^3b^3)=\dfrac{10a^5b^4-15a^4b^5+5a^3b^3}{-5a^3b^3}=\\\\\\=\dfrac{10a^5b^4}{-5a^3b^3}+\dfrac{-15a^4b^5}{-5a^3b^3}+\dfrac{5a^3b^3}{-5a^3b^3}=-2a^2b+3ab^2-1[/tex]

Fill in the given information then calculate the missing parts. See attached picture

Answer:

50

Step-by-step explanation:

every 50 points it takes 1 hr

Find 2 points

I’ll use (1,75) and (3,175)

Slope = change in y over the change in x

Slope = (175-75)/(3-1)

Slope = 100/2

Slope = 50

Answer:

1 = natural numbers

2 = 1

3 = 0

4 = -7/5

5 = NO

6 = 1 and -1

7 = 1/5

8 = x

Answer:

yeah thats right good job keep up the good work and keep doing ur thing good job

Step-by-step explanation:

Answer:

41.67 kg

72 books

Step-by-step explanation:

mass of 150 books = 150/108 × 30 kg

= 41.67 kg

number of books = 20/30 × 108 books

= 72 books

Answer:

15

Step-by-step explanation:

The probability that the first number divided by the second number is greater than zero is 1/3

Probability is the likelihood that an event will occur and is calculated by dividing the number of favorable outcomes by the total number of possible outcomes.

Tiles are numbered -2,-1,1,2

So, possibility first number divided by the second number is greater than zero

-2/-1=2

-2/1=-2

-2/2=-1

-1/-2= 0.5

-1/1=-1

-1/2=-0.5

1/-2=-0.5

1/-1=-1

1/2=0.5

2/-2=-1

2/-1=-2

2/2=1

Probability the first number divided by the second number is greater than zero = 4/12=1/3.

Learn more about probability here:

brainly.com/question/11234923

#SPJ2

Answer:

(-3,-1)

Step-by-step explanation:

So we need to find a number, x=a, such that when we average that number and x=3, we get x=0.

Since we want x=0 to be middle and x=3 is 3 units right of 0, then we are looking for number 3 units left of 0 which is x= -3.

Since we want y=2 to be the middle and y=5 is 3 units above 2, then we are looking for a number 3 units below 2 which is y=-1.

The other endpoint is (-3,-1).

Let's average (-3,-1) and (3,5).

(-3+3)/2=0/2=0

(-1+5)/2=4/2=2.

Check mark.

Answer:

D. (-5, -4)

Step-by-step explanation:

When making a rotation 90° clockwise, the coordinates will swap places. However, the x value will be the opposite and the y value will stay the same.

90° clockwise rule:

(x, y) ---> (y, -x)

(4, -5) ---> (-5, -4)

Hope this helps!!

Answer:

cuz im Not very smarttt

Step-by-step explanation:

at all

Answer:

[tex]2,8,6,18[/tex]

Step-by-step explanation:

Coordinates are written in [tex](x,y)[/tex] form. In a function, this translates to (input, output). Therefore, in these four coordinates, the four outputs are 2, 8, 6, and 18.

Answer:

10%

Step-by-step explanation:

La teneur en fruits de son cocktail est calculée comme suit:

25% de jus de pomme 0.2L + 50% de jus d'orange 0.1L

0.25 × 0.2 + 0.5 × 0.1

0.05 + 0.05

= 0.10

Conversion en pourcentage

= 0.10 × 100%

= 10%

Par conséquent, la teneur en fruits de son cocktail est de 10%