What is the value of this expression?
5+6×(5−2)+9

77
62
42
32

Answer:

A

Step-by-step explanation:

======================================================

Explanation:

I'll represent the dice results as an ordered pair. Something like (6,2) means the first die is a 6 and the second is a 2. The sum being 6+2 = 8.

There are only two ways to get to a sum of 8, and those two ways are:

Here are other possibilities if we allow the sum to be larger than 8

You should find that there are a total of 10 ways to have two dice add to a value that is 8 or larger, given that at least one of the dice must be a 6.

This is out of 6*6 = 36 ways to roll two dice without such a restriction. The probability we're after is 10/36 = (2*5)/(2*18) = 5/18

Side note: 5/18 = 0.2778 = 27.78% approximately

Step-by-step explanation:

8) Area of circle =

[tex]\pi {r}^{2} [/tex]

Radius = 1/2 of diameter (Diameter = 2x radius)

Radius = 1/2 × 10 in = 5 in.

Area of circle =

[tex]\pi {5}^{2} = 25\pi {in}^{2} [/tex]

11) Radius = 1/2 × 6m = 3m

Area of Circle =

[tex]\pi {3}^{2} = 9\pi {m}^{2} [/tex]

Note that I will leave both answers in terms of pi as I am not sure how you want to leave your answer as.

Answer:

area = πr×r

r = d/2

area = π (d/2)×(d/2)

so for problem 8,

area = pi×5×5 = 25π = 78.539 inches squared

continue the same logic for the next questions

Answer:

Step-by-step explanation:

lcm = 3150

hcf= 15

Answer:

b=8•P

Step-by-step explanation:

The equation for the total number of bottles, b, in p packages, is b = 8p.

An equation contains one or more terms with variables connected by an equal sign.

Example:

2x + 4y = 9 is an equation.

2x = 8 is an equation.

We have,

Each package of sports drinks contains 8 bottles.

The total number of bottles, b, in p packages.

b = 8p

Here,

p represents the number of packages of sports drinks that Harris stacks on the shelf.

Multiplying the number of packages by the number of bottles in each package gives the total number of bottles that Harris stacks on the shelf.

Thus,

The total number of bottles, b, in p packages.

b = 8p

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Answer:

If you get the maximum grade in the last test, your average grade will still be below 0.9 = 90%, which means that it is not possible to average a 90%.

Step-by-step explanation:

Average grade:

The average grade is given by the sum of all averages, divided by the number of tests.

In this question:

99%, 67%, 83%, and 86%.

Next test counts twice, which means that in total, there are 6 tests.

Is it possible to average a 90%?

The maximum grade in a test is 100% = 1. I will calculate the average grade you get a 100% on the last test, which is worth 2. So

[tex]M = \frac{0.99+0.67+0.83+0.86+2*1}{6} = \frac{5.35}{6} = 0.892[/tex]

If you get the maximum grade in the last test, your average grade will still be below 0.9 = 90%, which means that it is not possible to average a 90%.

Answer:

The expected number of defective lava lamps in a week is 3.72.

Step-by-step explanation:

To find the expected number of defective, we multiply each outcome by its probabilities.

The probability of each outcome is:

P(X = 0) = 0.01

P(X = 1) = 0.05

P(X = 2) = 0.15

P(X = 3) = 0.21

P(X = 4) = 0.22

P(X =  5) = 0.3

P(X = 6) = 0.06

Expected number:

Multiplying each outcome by its probability:

E(X) = 0*0.01 + 1*0.05 + 2*0.15 + 3*0.21 + 4*0.22 + 5*0.3 + 6*0.06 = 3.72

The expected number of defective lava lamps in a week is 3.72.

Answer:

-4.25

Step-by-step explanation:

Y = -4

Z = ?

-4Z = 17

Z = -4.25

Answer:

4 3/4 is the mixed form

hope this helps!

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

4,38 * 10⁴ = 4,38 * 10 000 = 43 800

Answer:

Step 1: Find the prime factorization of the number inside the radical. Step 2: Determine the index of the radical. In this case, the index is two because it is a square root, which means we need two of a kind. Step 3: Move each group of numbers or variables from inside the radical to outside the radical.

Answer:

315 ft²

Step-by-step explanation:

•Split the shape into a triangle and a square.

•A=bh so 15*15=225 (area of square)

•Since the height of the square is 15, subtract given height of 3 from 15 which is 12 and that is the base of triangle.

• To find the height, subtract 15 since the base is equal to the top side.

•A=1/2bh for triangles so 1/2(15)(12) is 90.

•Add 225 and 90 then boom. 315ft²

The solution of the inequality 2(x - 4) + 14 < x - 1 is:

x < -7

Here we have the following inequality:

2(x - 4) + 14 < x - 1

To solve it, we need to isolate the variable in one of the sides, so let's do that.

Expanding the right side we will get:

2x - 8 + 14 < x - 1

2x + 6 < x - 1

Now group like terms:

2x - x < - 1 -6

x < -7

That is the solution.

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Answer:

186.2 in^2

Step-by-step explanation:

7*9.5*2.8=186.2

Answer:

The original price is 70.77

But I'm not sure

Step-by-step explanation:

71.86 - 1.09= 70.77$

Answer:

yeh you are correct so it will be b is equal to minus 42 minus 9.3 that will be equal to -51.3 so that is the value of b

Answer:

It is equal to 80.9

Step-by-step explanation:

Please give me brainliest I would appreciate it

Answer:

critical value = 5.29

Step-by-step explanation:

Given that they are divided into 4 groups and a sample of 5 test was selected

N = 5 * 4 = 20

k = 4

∝ = 0.01

Df for numerator ( SS group )= k - 1 = 3

Df for denominator ( SSE group )  = N - k = 20 - 4 = 16

DF ( degree of freedom )

Next we will use the F table to determine the critical value

Critical value =   [tex]F_{16,3,0.01}[/tex] = 5.29

Answer:

Because you ate too many random things that makes 300 different colors

Step-by-step explanation:

yes i think

Answer:

see below

Step-by-step explanation:

a- 0.2

as 0.35 + 0.45=0.8

1-0.8=0.2

c. 112

b. im not sure what b is but if i work it out ill add it as an additional comment :)

Answer:

2.04

Step-by-step explanation:

To find this we have to subtract 15 from both sides.

15 + z = 17.04

-15        -15

z = 2.04

Rearrange:

6(-9w+7)-4w

Distribute:

-54w+42-4w

Combine the like terms:

-54w-4w

-58w

So, you get...

Answer:

x = -9

Step-by-step explanation:

Given:

BC = x + 19

ST = x + 29

Required:

Value of x

Solution:

Midsegment theorem states that the midsegment of a triangle = ½ of the length of its third side

Thus:

BC = ½(ST)

Substitute

x + 19 = ½(x + 29)

Multiply both sides by 2

2(x + 19) = x + 29

2x + 38 = x + 29

Collect like terms

2x - x = -38 + 29

x = -9

Given,

Nepali speaker : 80% (Y)

Maithili speaker : 60% (X)

We know that,

Both language speaker = Y -X

Now,

Y- X

= 80- 60

= 20

Therefore, 20% people speak both languages

Answer:

Add 8 to both sides of the equation.

−6x²−2−3x+8=0 Add −2and 8.

−6x²−3x+6=0

Factor −3 out of −6x²−3x+6.

−3(2x²+x−2)=0

Divide each term by −3 and simplify.

2x²+x−2=0

Use the quadratic formula to find the solutions.

(−b±√b2−4(ac))/2a

Substitute the values a=2 , b=1, and c=−2 into the quadratic formula and solve for x .

(−1±√12−4⋅(2⋅−2))/(2⋅2) Simplify.

x=−1±√174

The final answer is the combination of both solutions.

x=(−1−√17)/4, (−1+√17/)4

The result can be shown in multiple forms.

Exact Form:

x=(−1−√17)/4, (−1+√17)/4

Step-by-step explanation:

Answer:

Volume = 144 cm³

Step-by-step explanation:

Volume of the polyhedron = volume of triangular prism = ½*b*h*l

Where,

b = 4 cm

h = 6 cm

l = 12 cm

Substitute

Volume = ½*4*6*12

Volume = 144 cm³