E how many different ways is it possible to answer an 8-question true/false quiz?

Answer:

The null hypothesis is [tex]H_0: \mu = 2.5[/tex].

The alternative hypothesis is [tex]H_1: \mu > 2.5[/tex]

Step-by-step explanation:

Suppose that a recent article stated that the mean time spent in jail by a first-time convicted burglar is 2.5 years.

At the null hypothesis, we test if the mean is of 2.5 years, that is:

[tex]H_0: \mu = 2.5[/tex]

A study was then done to see if the mean time has increased in the new century.

At the alternative hypothesis, we test if the mean has increased, that is, if it is above 2.5 years. So

[tex]H_1: \mu > 2.5[/tex]

Answer:

Angle LIS is congruent to angle DIE making both of them 61°, angle LID and angle SIE are congruent as well. When you add LIS, DIE, LID, and SIE all add to 360°. So 61+61 equals 122. 360-122 is 238. You divide 238 by 2 to get 119. That will be the measure of angle SIE. A triangle is a total of 180° so add up the angles 27° + 119° to get 146°. Subtract that from 180° to get 34°.

34° is the measure of ISE

Hope this helps!

Step-by-step explanation:

Answer:

Step-by-step explanation:

n(M ∪ T) = n(M) + n(T) - n(M∩T)

               = 150 + 144 - 33

               = 294 - 33

               = 261

Without using a truth table:

(p ⇒ q) ∨ q   ⇔   (¬p ∨ q) ∨ q   ⇔   ¬p ∨ q   ⇔   p ⇒ q

With a table:

p   …   q   …   p ⇒ q   …   (p ⇒ q) ∨ q

T   …   T   …       T       …          T

T   …   F   …       F       …          F

F   …   T   …       T       …          T

F   …   F   …       T       …          T

Given:

[tex]a=1.6,b=\dfrac{1}{-2},c=\dfrac{-5}{-7}[/tex]

To verify:

[tex]a(b-c)=ab-ac[/tex] for the given values.

Solution:

We have,

[tex]a=1.6,b=\dfrac{1}{-2},c=\dfrac{-5}{-7}[/tex]

We need to verify [tex]a(b-c)=ab-ac[/tex].

Taking left hand side, we get

[tex]a(b-c)=1.6\left(\dfrac{1}{-2}-\dfrac{-5}{-7}\right)[/tex]

[tex]a(b-c)=1.6\left(-\dfrac{1}{2}-\dfrac{5}{7}\right)[/tex]

Taking LCM, we get

[tex]a(b-c)=1.6\left(\dfrac{-7-10}{14}\right)[/tex]

[tex]a(b-c)=\dfrac{16}{10}\left(\dfrac{-17}{14}\right)[/tex]

[tex]a(b-c)=\dfrac{8}{5}\left(\dfrac{-17}{14}\right)[/tex]

[tex]a(b-c)=-\dfrac{68}{35}\right)[/tex]

Taking right hand side, we get

[tex]ab-ac=1.6\times \dfrac{1}{-2}-1.6\times \dfrac{-5}{-7}[/tex]

[tex]ab-ac=-\dfrac{16}{20}-\dfrac{8}{7}[/tex]

[tex]ab-ac=-\dfrac{4}{5}-\dfrac{8}{7}[/tex]

Taking LCM, we get

[tex]ab-ac=\dfrac{-28-40}{35}[/tex]

[tex]ab-ac=\dfrac{-68}{35}[/tex]

Now,

[tex]LHS=RHS[/tex]

Hence proved.

Answer:

wait few minutes i will try

Answer:

x = 6

Step-by-step explanation:

Let x = first number

x+4x = 30

5x = 30

Divide by 5

5x/5 =30/5

x = 6

Let's assume the number is N

According to the question,

when I add a number to another number four times as big, the result is 30.

[tex]x+4x=30\\\\5x=30\\\\x=\dfrac{30}{5}\\\\x=\frak{6}[/tex] 

Answer:

a.The ratio of the heights is the square roots of the both of them √64 and √144

which is 8 and 12

b.To find the height of the larger prism you use the ratio of the heights,in a ratio and proportion

8 - 49

12-x

8x/8=588/8

x=73.5

I hope this helps

This is because the point (0,5) is shown on the graph. This is the point on the y axis.

We can say that h(x) = 5 when x = 0.

Answer:

5

Step-by-step explanation:

The fellow who expalined it before before me expalined it correctly, so the answer should be 5.

Answer:

x=11

Step-by-step explanation:

please the answer is proved in the diagram above

Answer:

x = 30

Step-by-step explanation:

x + 2x + 3x = 180

             6x = 180

              6       6

               x =  30

The correct option is Second Option

#CarryOnLearning

❦︎Park Hana Moon

El ejercicio completo es el siguiente:

Mercedes tiene una habilidad increíble al encontrar el número que falta; ella solo suma y ya tiene la respuesta correcta.

¿Cuál es el valor de x?

32 10 41

22 10 33

53 16 62

25 (x) 25

A) 10

B) 11

C) 12

D) 13

E) 14

Answer:

La  respuesta correcta es E: 14

Step-by-step explanation:

El ejercicio nos da una pista importante: solo sumar, así que al  mirar la ubicación de la variable x podemos deducir que los valores del centro son el resultado de una suma, ahora para saber si es cierto ,debemos hacer la prueba,entonces empezamos a sumar los dígitos por separado  de los valores dados ;

32 10  41 = 3+2+4+1 esto es igual a 10 el valor del centro

22 10  33= 2+2+3+3 esto es igual a 10 el valor del centro

53 16 62 = 5+3+6+2 esto es igual a 16 el valor del centro

Por lo tanto para hallar el valor de x debemos hacer lo mismo:

25   x   25 = 2+5+2+5 esto es igual 14

Entonces nos queda : 25 14 25= 2+5+2+5 igual a 14

Answer:

The answers is False

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

The period is 1 complete cycle of the wave, before repeating.

1 cycle is from - 6 to - 2 , then

period = 4  → c

Answer:

[tex]18-\sqrt{-25}[/tex]

[tex]\sqrt{-25} =5i[/tex]

[tex]=18-5i[/tex]

OAmalOHopeO

Answer: -13

Step-by-step explanation:

[tex]\frac{M(3)+M(2)}{2} =\frac{[-2(3)^{2}] +[-2(2)^{2}]}{2}=\frac{(-2)(9)+(-2)(4)}{2}=\frac{-18-8}{2}=\frac{-26}{2}=-13[/tex]

Answer:

[tex]\boxed{\sf Option \ C \ is \ correct .}[/tex]

Step-by-step explanation:

We need to tell which of the given inequality is true . The given inequalities are ,

[tex]\sf A)\pi + 8 <11\\\\\sf B) \dfrac{\pi}{8} > 2 \\\\\sf C) 3\pi > 9 \\\\\sf D) 2\pi - 1 < 5 [/tex]

Let's check the options one by one .

Option A :-

[tex]\sf\longrightarrow \pi + 8 < 11[/tex]

Subtract 8 to both sides ,

[tex]\sf\longrightarrow \pi < 11 - 8 [/tex]

Simplify ,

[tex]\sf\longrightarrow \pi < 3[/tex]

We know the approximate value of pi 3.14 . But the inequality says pi is less than 3 . Therefore the given inequality is incorrect .

______________________________________

Option B :-

[tex]\sf\longrightarrow \dfrac{\pi}{2} > 2 [/tex]

Multiply both sides by 2 ,

[tex]\sf\longrightarrow \pi > 4 [/tex]

We know the approximate value of pi 3.14 . But the inequality says pi is more than 4 . Therefore the given inequality is incorrect .

______________________________________

Option C :-

[tex]\sf\longrightarrow 3 \pi > 9[/tex]

Divide both sides by 3 ,

[tex]\sf\longrightarrow \pi < 9/3[/tex]

Simplify ,

[tex]\sf\longrightarrow \pi > 3 [/tex]

We know the approximate value of pi 3.14 .And the inequality says pi is more than 3 . Therefore the given inequality is correct .

Option C is correct .

Answer:

Your answer would be 32/49.

Step-by-step explanation:

4/7 tons = 7/8 x

4/7 / 7/8

32/49

The tons of concrete are required to cover the entire bridge is 32/49 tons.

A fraction is a non-integer that is made up of a numerator and a denominator. An example of a fraction is 4/7.

To determine this value, divide 4/7 by 7/8

4/7 ÷ 7/8

4/7 x 8/7 = 32/49 tons

To learn more about the division of fractions, please check: https://brainly.com/question/25779356

Answer:

good luck :)

Step-by-step explanation:

Answer:

hello,

Step-by-step explanation:

a=12*x³yz⁵=4*3*x³yz⁵

b=16*x⁴y³z²=4*4*x⁴*y³*z²

hcf(a,b)=4*x³*y*z²=4x³yz²

Answer:

LCM = 60

Step-by-step explanation:

Product = HCF × LCM

1800 = 30 × LCM

LCM = 1800/30

∴ LCM = 60

(a) Dilation is the process of extending the line segment AB to the longer one A'B'. The scale factor has to be larger than 1, and also it has to be positive.

(b) To get the dilation factor, you should first compute the length of AB, then compare it to the length of A'B'.

A is the point (-4, 2), and B is the point (2, -4). So the length of AB is

√((-4 - 2)² + (2 - (-4))²) = √((-6)² + 6²) = √72

A' is the point (-8, 4) and B' is (4, -8). The coordinates of A' and B' are twice the coordinates of A and B, so the distance is

√((2(-4) - 2(2))² + (2(2) - 2(-4))²) = √(2²×72) = 2√72

Then the dilation factor is

(2√72) / √72 = 2

As for dying, don't worry about it. It happens to everyone.

9514 1404 393

Answer:

  y - 155 = 9(x -15)

Step-by-step explanation:

The given points are ...

  (days, coins) = (15, 155) and (22, 218)

The slope is given by the slope formula:

  m = (y2 -y1)/(x2 -x1) = (218 -155)/(22 -15) = 63/7 = 9

The point-slope form is for a line with slope m through point (h, k) is ...

  y -k = m(x -h)

Here, we have m=9 and (h, k) = (15, 155), so the equation can be written ...

  y - 155 = 9(x -15)

Answer:

Step-by-step explanation:

trewdsffffffffffffsdf

Answer:

Let area be a and side be s :

[tex]{ \tt{a \: \alpha \: s²}} \\ a = ks²[/tex]

k is a constant, k=1

Answer:

[tex] - 12xy {}^{2} [/tex]

Step-by-step explanation:

A coefficient is a rational number in front of multiple consecutive terms.