A supposed "lucky coin" is to be tested to see if it is unfair, that is, the proportion of "heads" results is not 50%. It is
flipped 100 times and found to land on heads only 41 times. Test the claim that the coin is unfair.

Answer:

Step-by-step explanation:

The coefficients of x and y in the first equation will be the 2 x 2 matrix first row and the coefficients of x and y in the second equation will be the second row:

[tex]\left[\begin{array}{ccc}9&5\\2&-10\\\end{array}\right]\left[\begin{array}{ccc}x\\y\\\end{array}\right] =\left[\begin{array}{ccc}-16\\-48\\\end{array}\right][/tex]

When you take the inverse of that 2 x 2 matrix and multiply it with the right side matrix (-16 -48), you can find the solution for x and y.

Answer:

9 litres

Step-by-step explanation:

the volume (V) of the tank is calculated as

V = lbh ( l is length, b is breadth , h is height )

here l = 60 cm, b = 15 cm, h = 10 cm , then

V = 60 × 15 × 10 = 9000 cm³

using the conversion 1 litre = 1000 cm³ , then

V = 9000 ÷ 1000 = 9 litres

Answer:

  9 liters

Step-by-step explanation:

It is often convenient to make use of the fact that 1 liter is 1000 cm³, or 1 dm³, where 1 dm = 10 cm. Expressing the tank dimensions in decimeters, we see they are ...

  L = 6 dm, W = 1.5 dm, H = 1.0 dm

Then the volume is ...

  V = LWH

  V = (6 dm)(1.5 dm)(1.0 dm) = 9.0 dm³ = 9 L

9 liters of water are needed to fill the empty tank.

Answer:

the answer is -4

Step-by-step explanation:

you take the points (0,6) and (4,-10), then you subtract -10 by 6 and you get -16. then you take 4 subtracted by 0 and you get 4. -16 divided by 4 is -4.

Answer:

The slope of the line is 5.

Step-by-step explanation:

You need to use the slope formula.

Slope Formula: y2 - y1 / x2 - x1

Your coordinates: (0,2) and (-1, -3)

Do -3 - 2 / -1 - 0

This is because the -3 is your y2 and the 2 is your y1

**Same goes with x but different numbers since it is the x coordinates.**

Now, do -3 - 2 first.

The negatives turn into a positive meaning you have to add the two.

But the bigger number 3 is negative so, your answer should contain a negative.

-3 -2 = -5

Do -1 - 0

This should be an addition problem but contain a negative answer.

-1 -0 = -1

-5/-1 as final.

The negatives cancel, and 5/1 is 5

Your slope is 5.

Answer:

The slope of the line is 5

Step-by-step explanation:

Slope(m) formula: [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

y₂ = -3

y₁ = 2

x₂ = -1

x₁ = 0

[tex]m=\frac{y_2-y_1}{x_2-x_1} \\\\m=\frac{-3-2}{-1-0} \\\\m=\frac{-5}{-1}\\\\m=5[/tex]

Hope this helps!

The mass of cesium left afer 120 years if the original mass of cesium is 8640 with an half-life of 30 years,  is 540 grams.

This can be defined as the time taken for half the amount of a radioactive substance to decay.

To calculate the amount of cesium left after 120 years, we use the formua below.

Formula:

Where:

From the question,

Given:

Substitute these values into equation 1

Hence, The mass of cesium left afer 120 years is 540 grams.

Learn more about half-life here: https://brainly.com/question/25750315

Answer:

3

Step-by-step explanation:

it's basically asking what is the y value that corresponded to x = 2

that value is 3.

Answer:

1: The amount on the card, 2:$7.50, 3: $12.50, 4: $20

Step-by-step explanation:

Answer:

8. 133°

9. 124°

Step-by-step explanation:

Because all triangles add up to 180°, the sum of all interior angle will add up to 180°.

8) 94 + 39 = 133

180 - 133 = 47

47° is the measure of the unknown interior angle, but we need the exterior and all straight lines are 180° angles, so we need to subtract.

180 - 47 = 133°

9)

81 + 43 = 124

180 - 124 = 56 (interior angle)

180 - 56 = 124° (exterior angle)

Plug in the values of the variables:-

[tex]\sf{4x-2y}[/tex]

[tex]\sf{4(7)-2(-3)}[/tex]

[tex]\sf{28+6}[/tex]

[tex]\sf{34}[/tex]

Hope everything is clear; if you need any clarification/explanation, kindly let me know, and I'll comment and/or edit my answer :)

Answer:

34

Step-by-step explanation:

We have to find the value of the expression ( 4x - 2y ).

Also, given that,

x = 7

y = -3

So, to find the value of the given expression, you have to replace x and y with 7 & -3 respectively.

Let us solve it now.

4x - 2y

4 × 7 - 2 × -3

28 + 6

34

Answer:

A

Step-by-step explanation:

writting only because answer need 20 words

Answer:

-509

Step-by-step explanation:

1. Subsitute 5 for a in the expression.  -6(5)^3+8(5)^2+8(5)+1

2. -6(125)+8(25)+40+1

3. -750+200+41

4. -509

Answer:

B!

Step-by-step explanation:

2 times pie times 6 times 6 plus 11 equals 640.9

Answer:

D.

Step-by-step explanation:

1) the required probability can be calculated as sum of two probabilities:

P=p1+p2, where p1 - when the 1st attempt is correct, p2 - when the 2d attempt is correct;

2) p1=1/10; p2=1/9, then the required probability:

P=1/10 + 1/9 ≈ 1/5.

Answer:

author link

ghanami

Ace

2.9K answers

12.1M people helped

hello :

note :

an equation of the circle Center at the w(a,b) and ridus : r is :

(x-a)² +(y-b)² = r²  

in this exercice : x²+y²-16x+6y+53=0

(x²-16x) +( y²+6y ) +53 = 0

(x² -2(8)x +8² -  8²) +(y² +2(3)x -3²+3² ) +53=0

(x² -2(8)x +8²) -  8² +(y² +2(3)x +3²)-3²  +53=0

(x-8)² +( y+3)² = 20

the center is :  w(8,-3) and ridus : r  = √20

Still stuck? Get 1-on-1 help from an expert tutor now.

Step-by-step explanation:

Answer:

140 degrees

Step-by-step explanation:

Since alternate angles are equal, corresponding angles are equal, a pair of interior angles on the same side of the transversal are supplementary, and angles on a straight line add up to 180 degrees, 40 + x must equal 180 degrees.

To find angle x in this instance, you would need to subtract 40 degrees from 180 degrees.

[tex]180-40=140[/tex]

Therefore, the answer is 140 degrees.

Answer:

my test said 140

Step-by-step explanation:

Answer:

Perimeter = 42 cm.

Step-by-step explanation:

The  2 legs are equal in length as it is an isosceles trapezoid.

Area of  trapezoid  = (h/2)(a + b)  where a and b are the parallel bases.

So

(5/2) (a + b) = 45

a + b = 45 * 2/5 = 18 cm.

We are given that the length of a leg (L) is 2/3 * sum of the bases, so:

L = 2/3(a + b)

  = 2/3 * 18

   = 12 cm.

The perimeter = a + b + 2L

= 18 * 2*12

= 42 cm.

Answer:

(a) Since the upper limit of the 99% confidence interval is less than

Step-by-step explanation:

We reject the null hypothesis at the 1% level of significance and conclude that there is strong statistical evidence to suggest that people in fact lose less than 8 pounds on average during the first month of the weight loss program.

Hypothesis testing is a statistical method that is used to make decisions about a population based on a sample of data.

It involves testing a null hypothesis (H0) against an alternative hypothesis (Ha) using statistical techniques.

We have,

The null hypothesis is that the average weight loss during the first month is equal to 8 pounds, and the alternative hypothesis is that the average weight loss is less than 8 pounds.

Since the 99% confidence interval does not include the value of 8, we can reject the null hypothesis at the 1% level of significance and conclude that there is strong statistical evidence to suggest that people in fact lose less than 8 pounds on average during the first month of the weight loss program.

Thus,

We reject the null hypothesis at the 1% level of significance and conclude that there is strong statistical evidence to suggest that people in fact lose less than 8 pounds on average during the first month of the weight loss program.

Learn more about hypothesis testing here:

https://brainly.com/question/30588452

#SPJ2

Answer:

Angle A = 47⁰

Step-by-step explanation:

Angle A = Angle B { equal sides have equal angles. }

so,

4x + 7 = 5x - 3

7 + 3 = 5x - 4x

10 = x

so Angle A = 4x + 7 = 4(10) + 7 = 40 + 7 = 47⁰

Answer:

i think its c

Step-by-step explanation:

sorry if im worng

Answer i believe its a or d

Step-by-step explanation:

im not to sure but i did try to do the math on it so.

Veremos que la ecuación que describe el movimiento del camión es:

f(t) = -2km + (10km/h)*t

Primero debemos recordar la relación:

distancia = velocidad*tiempo.

Entonces, podemos escribir la pocición del camión como:

f(t) = pocición inicial + velocidad*t

Donde t es el tiempo en horas.

Sabemos que:

Reemplazando eso obtenemos:

f(t) = -2km + (10km/h)*t

Esta es la ecuación de movimiento del camión.

Sí quieres aprender más sobre ecuaciones de movimiento, puedes leer:

https://brainly.com/question/19365526

Answer:

19

Step-by-step explanation:

18 + 1 = 19

Tan(-pi/12) = sqrt(7-4sqrt(3)) = -2 + sqrt(3)

answer: -2 + sqrt(3)

Step-by-step explanation:

Length = 94 cm

breadth = ?

Perimeter = 298 cm

Now..............

Perimeter = 2 ( l + b )

298cm = 2 ( 94 cm + b )

298 / 2 = 94 + b

149 cm = 94 + b

b = 149 - 94 cm

b = 55 cm

Answer:

Step-by-step explanation:

In the question we have given perimeter of rectangular painting that is 298 cm , length of the painting is 94 cm , and we have asked to find the width of the rectangular painting . So perimeter of rectangle is ,

[tex] \purple{ \boxed{Perimeter \: of \: rectangle = 2 ( l + w ) }}[/tex]

Where ,

Now , we are substituting value of length and equating it with given perimeter :

[tex] \longrightarrow \: 2(94 + w) = 298[/tex]

Now, our last step is of calculations . So from here we are calculating ,

[tex] \longrightarrow \: 94 + w = \frac{298}{2} [/tex]

[tex] \longrightarrow \: 94 + w= 149[/tex]

[tex] \longrightarrow \: w = 149 - 94[/tex]

[tex] \longrightarrow \: \blue{\boxed{ \bold{w = 55 \:cm}}}[/tex]

Answer:

The whole number : 3

Fraction : 2/8

I'm pretty sure this is correct

Answer:

Slope= 4

Step-by-step explanation:

y=mx+b

4x

4= slope

Answer:

Hi there!

[tex]\:\mathsf{a^2\:-\:5a\:+\:6\:=\:0}[/tex]

=> By splitting the middle term

=> [tex]\:\mathsf{a^2\:-\:2a\:-\:3a\:+\:6\:=\:0}[/tex]

=> [tex]\:\mathsf{a(a\:-\:2)\:-\:3(a\:-\:2)\:=\:0}[/tex]

=> [tex]\:\mathsf{(a\:-\:2)\:-\:(a\:-\:3)\:=\:0}[/tex]

=> [tex]\:\sf{a\:=\:2\: and\: a\:=\:3}[/tex]

[tex]\:\mathsf{Hope\:this\:helps\:you!\::)}[/tex]

Thank you!

Answer:

[tex]a = 3 \: \: \: and \: \: a = 2[/tex]

Step-by-step explanation:

⬇

[tex]a^{2} - 3a - 2a + 6 = 0[/tex]

⬇

[tex]a \: (a - 3) \: \: (a - 2)[/tex]

⬇

[tex]{}\ a - 3 = 0 \\ a = 2{}[/tex]

Step-by-step explanation:

I think that B IS CORRECT BECAUSE EVERY TIME you toss the coin there is half chance of getting tail and half of head

PLEASE MARK ME BRAINLIEST IF MY ANSWER IS CORRECT PLEASE