independent compound event definition

Answer:

$9.75h=e-$263.25

Step-by-step explanation:

Answer:

180 mm³

Step-by-step explanation:

The polyhedron is an oblique rectangular prism

Area of the oblique rectangular prism = base area * height

height = z = 4 mm

Base area = L*W

L = y = 9 mm

W = x = 5 mm

Base area = 9*5 = 45 mm²

Area of the oblique rectangular prism = 45*4 = 180 mm³

Answer:

(a) Expanded form:

[tex]((X_1 + X_1Y_1) - X_1Z_1) + ((X_2 + X_2Y_2) - X_2Z_2) + ((X_3 + X_3Y_3) - X_3Z_3) + ((X_4 + X_4Y_4) - X_4Z_4)[/tex]

(b) The value of the expression: -21

Step-by-step explanation:

Given

[tex]\sum \limit^4_{i=1}\ ((X_i+X_iY_i) - X_iZ_i)[/tex]

Solving (a): The expanded form:

This means that we substitute the values of i from 1 to 4 in the above expression.

So, the expression becomes:

[tex]((X_1 + X_1Y_1) - X_1Z_1) + ((X_2 + X_2Y_2) - X_2Z_2) + ((X_3 + X_3Y_3) - X_3Z_3) + ((X_4 + X_4Y_4) - X_4Z_4)[/tex]

Solving (b): The value of the expression

To do this, we simply substitute the given values of X1, X2....... in the expression.

This gives:

So, the expression becomes:

[tex]((0 + 0*5) - 0*0) + ((1 + 1*26) - 1*-2) + ((12 + 12*-2) - 12*3) + ((-1 + -1*25) - -1*24)[/tex]

Simplify each bracket

[tex]((0 + 0) - 0) + ((1 + 26) +2) + ((12 -24) - 36) + ((-1 -25) +24)[/tex]

[tex]0 + 29 -48 -2[/tex]

[tex]-21[/tex]

Hence, the result of the expression is -21

Answer:

ITS B!!! AY

Step-by-step explanation:

Answer:

195 rupees

Step-by-step explanation:

10kg=325 rupees

6kg=?

Cross multiplication;

=6×325/10

=1950/10

=195 rupees

Answer:

k = -8

Step-by-step explanation:

24 = 5k - 8k

24 = -3k

k = 24/(-3)

k = -8

Answer:

k = -8

Step-by-step explanation:

Solve for k

First we re arrange our equation so that it look simple to calculate.

24=5k-8k

5k-8k = 24

-3k = 24

Divide -3 both side to get the value of k

 k = -8

To prove substitute k into formula:

5k-8k = 24

5 (-8) - 8 (-8) = 24

-40 + 64 = 24

24 = 24

Answer:

864√3

Step-by-step explanation:

(3√3·24²)/2

1728√3/2

864√3

1496.49189773

9514 1404 393

Answer:

  864√3 in²

Step-by-step explanation:

We presume "any method" includes the use of on-line calculators. Unfortunately, this one does not provide the exact answer in reduced form.

  A = (3/2)√3(24 in)² = 3/2×576×√3 in²

  A = 864√3 in²

Answer:

its called a frcaction

Step-by-step explanation:

Answer:

The 85% confidence interval for the mean number of dresses purchased each year is (6.1, 6.3).

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 - 0.85}{2} = 0.075[/tex]

Now, we have to find z in the Ztable as such z has a pvalue of [tex]1 - \alpha[/tex].

That is z with a pvalue of [tex]1 - 0.075 = 0.925[/tex], so Z = 1.44.

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 = 1.44\frac{1.1}{\sqrt{208}} = 0.1[/tex]

The lower end of the interval is the sample mean subtracted by M. So it is 6.2 - 0.1 = 6.1

The upper end of the interval is the sample mean added to M. So it is 6.2 + 0.1 = 6.3

The 85% confidence interval for the mean number of dresses purchased each year is (6.1, 6.3).

Answer:

84 people

Step-by-step explanation:

Answer:

x>-8 (Or option D)

Step-by-step explanation:

-2x+7<23 Subtract 7 from both sides

-2x<16 Now divide by -2. You also have to flip the < sign because you are dividing by a negative number

x>-8

The reasoning for D over C is because D is an open circle meaning that it is only less than or greater than. When it is a closed circle, it means less than or equal to or greater than or equal to. :)

Answer:

4

Step-by-step explanation:

x² = 8x - 16

x² - 8x + 16 = 0

(x - 4)² = 0

x = 4

Answer:

p > 220

Explanation:

This inequality says, "p (the weight of the pig) is less than 220." This describes the situation shown. So, the answer is p > 220.

Good luck ^^

46764need photo ryyiouttgg

Answer:

$96

Step-by-step explanation:

4/50=.08 which is sales tax rate

1200X.08=$96 sales tax

Answer:

GHS 940,000 and GHS 1,410,000

Step-by-step explanation:

Total Ratio, thus 2+3 = 5 = 2,350,000

2/5 × 2,350,000 = 940,000

3/5 × 2,350,000 = 1,410,000

In conclusion, the money was shared at GHS 940,000 and GHS 1,410,000 among the two.

Step-by-step explanation:

Given :-

The length of the garden 8m greater than 2 times the width.

Area of the garden is 280 m²

Let us consider the length as x and width as y.

Sp, we can day length as :-

x = 8 + 2y ---(1)

Now, we know that:-

Area of Rectangle = Length × Breadth

280 = x * y

We can replace the value of x now,

280 = y × ( 8 + 2y)

280 = 8y + 2y²

2y² + 8y - 280 = 0

y² + 4y - 140 = 0

Factorise it.

(y -10)(y + 14)

Cancelling -ve value, we get the width as 10 metres.

Hope it helps :)

Answer:

Step-by-step explanation:

Width = w

Length = 2w + 8

Area of rectangular garden = 280 square meter

length * width = 280

(2w + 8 ) *w = 280

2w * w + 8*w = 280

2w² + 8w = 280

2w² + 8w - 280 = 0

Divide the whole equation by 2

w² + 4w - 140 = 0      

w² + 14w - 10w - 14 *10 = 0

w(w + 14) - 10(w + 14) = 0

(w + 14)(w - 10)= 0

w - 10 = 0       {Ignore w + 14, as measurements will not be -ve}

w = 10 m

l = 2*10 +8

= 20 +8

l  = 28 m

Answer:

A,M,V

Step-by-step explanation:

Answer:

k=29

Step-by-step explanation:

we know that

-------> by supplementary angles

Solve for k

Combine like terms in the left side

Substract  both sides

Divide by  both sides

therefore

the answer is the option

B

Answer: $507.66

Step-by-step explanation:

408.68 + 98.98 = 507.66

Answer:

19 oz

Step-by-step explanation:

Lauren bought 20 ounces of sliced ham, out of which she used three-fourth of the ham to make sandwiches for her friends and one fifth of the ham in an omelette. We are to find the ounces of ham that were left. So, total ounces of ham that were used = 15 + 4 = 19 ounces.

Hope this helped!

Answer:

Step-by-step explanation:

He eats 1/6 or 1/5 of the original cake.

All  you need to do to get the answer is multiply the denominators.

1/5 * 1/6 = 1/30

If there was something in the numerators. you would multiply them too.

So suppose the two fractions were 3/5 and 2/7

The answer would be 3 * 2 / 5 * 7 = 6 / 35

General rule

When multiplying two fractions, multiply numerator * numerator / (denominator * denominator).

Answer:

x=74

Step-by-step explanation:

Solve big triangle first 33+45= 78

78+28= 106

• Equal sides of an isosceles triangle = 2cm shorter than the length of the third side.

• Length of the third side.

Let the third side be c.

Also, two equal sides be a and b.

According to the question,

[tex] \longmapsto [/tex] a = ( Third side - 2 ) cm

[tex] \longmapsto [/tex] a = ( c - 2 ) cm

Similarly, length of b(second side) will also be same as a and b are two equal sides of an isosceles triangle.

[tex] \longmapsto [/tex] b = ( c - 2 ) cm

Now, we know that :

★ Perimeter of ∆ = Sum of all sides

[tex] \longmapsto [/tex] 35 = a + b + c

[tex] \longmapsto [/tex] 35 = (c - 2) + (c - 2) + c

[tex] \longmapsto [/tex] 35 = c - 2 + c - 2 + c

[tex] \longmapsto [/tex] 35 = c + c + c - 2 - 2

[tex] \longmapsto [/tex] 35 = 3c - 4

[tex] \longmapsto [/tex] 35 + 4 = 3c

[tex] \longmapsto [/tex] 39 = 3c

[tex] \longmapsto [/tex] [tex] \sf \dfrac{39}{3} [/tex] = c

[tex] \longmapsto [/tex] 13 = c

So, third side of the triangle is 13 cm.

Answer:

1 1/2 x 4 1/2 x 5 =  33 3/4

Step-by-step explanation:

let x be rubgy liked let y football liked

x/125=12/25

ansx=60

again

y/60=5/4

ans y=75

football liked students are 75