five balls, numbered 1, 2, 3, 4, 5, are placed in a bin. two balls are drawn at random without replacement. what is the probability that the sum of the numbers on the balls drawn is 7?

Answer:

2 5/8

Step-by-step explanation:

1 6/8 + 7/8 = 1 13/8 = 2 5/8.

Answer:

B C and F

Step-by-step explanation:

Polygons are closed shaped with straight lines

D and E have curves therefore they cannot be classified as polygons

A is not closed therefore it A is not a polygon

B, C and F are closed and use only straight lines therefore those 3 are polygons

Answer:

13/3 = 4 1/3 which when rounded is 4hrs

As 4.3/4 = 1.075 = 1 unit and not 2

Step-by-step explanation:

13/3 = 4.33333333 and rounded down = 4 hrs

Answer:

13

Step-by-step explanation:

200-187=13

Answer:

90

Step-by-step explanation:

Hello

Answer un excel file

[tex]\left[\begin{array}{ccc}3&2&-1\\1&-2&-4\\2&1&2\end{array}\right] *\left[\begin{array}{c}x\\y\\z\end{array}\right] =\left[\begin{array}{c}17\\5\\5\\\end{array}\right][/tex]

Gaussian 's method

x=3

y=3

z=-2

Answer:

It will take 10 months to pay off the unpaid balance.

Step-by-step explanation:

Given that the annual interest rate on a credit card is 15.30%, if a payment of $ 300.00 is made each month, to determine how many months will it take to pay off an unpaid balance of $ 2,590.67, the following calculation must be performed:

(2,590.67 x 1.1530) / 300 = X

2,987.04 / 300 = X

9.95 = X

Therefore, it will take 10 months to pay off the unpaid balance.

Answer:

y - 2 = 0

Step-by-step explanation:

find slope first:

(2-2)/(5+1) = 0/6 or 0

now use 'y=mx+b' to find the y-intercept (the 'b'):

2 = 0(5) + b

2 = b

so, in slope-intercept form, the equation is:  

y = 2

but, in standard form, the equation is:

y - 2 = 0

Answer:

Step-by-step explanation:

take 22 degree as reference angle

using cos rule

cos 22=adjacent/hypotenuse

0.92=56/x

x=56/0.92

x=60.86

x=60.9

Answer:

16 inches

Step-by-step explanation:

32 divided by 2

Answer:

=76.5 cm

Step-by-step explanation:

Add up the lengths of the outsides

P= 15.6+ 13.6+13.6+17.6+16.1

P =76.5 cm

Answer:

6.5 hours

Step-by-step explanation:

We can write a ratio to solve

360 miles      585 miles

---------------- = ------------

4 hours         x hours

Using cross products

360 * x = 4* 585

360 x = 2340

Divide each side by 360

x = 2340/360

x =6.5

Answer:

1/36

Step-by-step explanation:

you multiply 1/6 × 1/6

because the only way to get the sum of 2 is 1+1 and there is a 1/6th chance on both dice

Answer:

1/36

Step-by-step explanation:

got it right

Answer:

31.06

Step-by-step explanation:

Ticket costs: 17.50+1.44=18.94

Change received: 50-18.94=31.06

Answer:

9.744180189 cm

Step-by-step explanation:

1 liter = 1 dm³ (cube with 10cm side lengths) =

= 10×10×10 cm³ = 1000 cm³

the volume of a cylinder is

base area × height

and the base area is a circle

area = pi×r²

r (radius) is half the diameter.

so, we know

volume = 150000 cm³

r = diameter/2 = 70 cm

so, we have

150000 = pi×r² × height = pi×70² × height =

= pi×4900 × height

1500 = pi×49 × height

height = 1500 / (pi×49) = 9.744180189... cm

Answer:

first option

imagine the line y = x as a mirror

Answer:

The answer is A. "the function h because the graphs of ƒ and h are symmetrical about the line y = x"

[tex]\sf\purple{10}[/tex] ✅

Step-by-step explanation:

[tex]35 \times \frac{2}{7} \\ = \frac{35 \times 2}{7} \\ = \frac{70}{7} \\ = 10[/tex]

[tex]\circ \: \: { \underline{ \boxed{ \sf{ \color{green}{Happy\:learning.}}}}}∘[/tex]

Answer:

10

Step-by-step explanation:

see the image below:)

Answer: ar·ith·met·ic pro·gres·sion

/ˌeriTHˌmedik prəˈɡreSH(ə)n/

noun

a sequence of numbers in which each differs from the preceding by a constant quantity (e.g., 3, 6, 9, 12, etc.; 9, 7, 5, 3, etc.).

the relationship between numbers in an arithmetic progression.

"the numbers are in arithmetic progression"

Step-by-step explanation:

Answer:

[tex]tan70 = \frac{opp}{adj} \\ \: \: = \frac{15}{x } \\ \\ x = \frac{15 }{tan70 } \\ \\ = \frac{15}{2.747} \\ \\ = 5.46[/tex]

since 5.46 is equal to 5.5...

I think the answer is the first one

Answer:

Hello! answer: 104

Step-by-step explanation:

(base × height)

13 × 8 = 104 therefore the area is 104 hope that helps!

Answer:

104

Step-by-step explanation:

8*13

Answer:

Step-by-step explanation:

ngu dot

Answer:

The answer is 4.

Step-by-step explanation:

Multiply 250 with 1.6%. 1.6% is also written as 0.016.

So pretty much you multiply 250 with 0.016 and you get 4.

Answer:

a. should not be rejected

Step-by-step explanation:

H0 : σ² = 0.003

H1 : σ² > 0.003

We obtain the test statistic :

χ² = [(n - 1) * s²] ÷ σ²

s = sample standard deviation = 0.06

n = sample size = 26

σ² = 0.003

χ² = [(26 - 1) * 0.06²] ÷ 0.003

χ² = (25 * 0.06²) / 0.003

χ² = 30

Using the Pvalue from χ² calculator :

Pvalue = 0.2242

Using α = 0.05

Pvalue > α; we fail to reject the Null

Answer:

225[tex]\pi[/tex]

or 706.86 rounded

Step-by-step explanation:

area of a circle is  [tex]\pi r^{2}[/tex](r=radius)

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

[tex]\pi 15^{2}[/tex]

[tex]\pi 225[/tex]

=225[tex]\pi[/tex]

Answer:

for every x in the domain of f, f -1[f(x)] = x, and

for every x in the domain of f -1, f[f -1(x)] = x

Step-by-step explanation:

f(1) and f(-2) means to replace x in the equation with the number inside the parenthesis and then solve.

f(1) = (1)^2 -3(1) -f = 1 -3 -f = -2-f

f(-2) = (-2)^2 -3(-2) -f = 4 + 6 - f = 10-f

Answer:

V=[tex]27 cm^{3} \\[/tex]

Step-by-step explanation:

[tex]Area -of-triangle=\frac{1}{2} \times base\times height=0.5\times1.5\times 3=2.25cm^{2} \\Vol=Area\times height= 2.25\times 12=27 cm^{3} \\[/tex]

Answer:

Part A: 108

Part B: 24.

Step-by-step explanation:

Explanation: The formula for volume of a prism is V=Bh. (B is base area and H is height). The information doesn't provide base area so you need to find base area. The formula for base area is 1/2 x base side x height, so 1/2 x 1.5 x 12 = 9. (This is the formula for triangular prism.)  Now do the volume formula; 9 x 12 = 108. Now for part B: Divide the volume by the base area. 108 / 4 1/2 = 24. So the answer for A is 108 and for B it's 24. Check your answer: 4 1/2 x 24 = 108.

Sorry if it's wrong. Have a good day!

Answer:

17cm ×7cm

Step-by-step explanation:

Assuming that the airplane ticket is a rectangle,

let the length and the breadth of the ticket be L cm and B cm respectively.

LB= 119 -----(1)

2(L +B)= 48

L +B= 48 ÷2

L +B= 24 -----(2)

From (2):

L= 24 -B -----(3)

Substitute (3) into (1):

B(24 -B)= 119

24B -B²= 119 (expand)

B² -24B +119= 0

(B -17)(B -7)= 0 (factorise)

B -17= 0 or B -7= 0

B= 17 or B= 7

Substitute the values of B into (3):

L= 24 -17 or L= 24 -7

L= 7 or L= 17

∴ The dimensions of the airplane ticket is 17cm ×7cm.

Answer:

profit is 256 dollars

Step-by-step explanation:

20% of 1,280 is 256 dollars

Answer:

You will have saved $69,612 after five years.

Step-by-step explanation:

This can be calculated using the for formula for calculating the future value of a growing annuity as follows:

FV = C * (((1 + r)^n - (1 + g)^n) / (r - g)) ……………………………………… (1)

Where;

FW = future value or amount you will have saved after five years = ?

C = first deposit = $1,000

r = periodic monthly interest rate of = 0.4%, or 0.004

g = growth rate of contribution = 0.1%, or 0.001

n = number of months = 5 years * 12 = 60

Substituting all the values into equation (1), we have:

FV = $1,000 * (((1 + 0.004)^60 - (1 + 0.001)^60) / (0.004 - 0.001))

FV = $1,000 * 69.612001854052

FV = $69,612.00

Therefore, you will have saved $69,612 after five years.