Declmal answers
A student ran out of time on a multiple choice exam and randomly guessed the answers for two problems. Each problem had 4 answer choices - a, b, c, d - and
only one correct answer. What is the probability that he answered both of the problems correctly?

Answer:

5% chance

Step-by-step explanation:

devide how many students the teacher will choose from the amount of students there is to choose from:

1 / 20 = 0.05

then multiply by 100 to get the amount expressed in percentage:

.05 * 100 = 5%

the result:

Jo has 5% chance of winning.

[tex]\qquad \textit{Amount for Exponential Decay} \\\\ A=P(1 - r)^t\qquad \begin{cases} A=\textit{current amount}\\ P=\textit{initial amount}\dotfill &28000\\ r=rate\to 9\%\to \frac{9}{100}\dotfill &0.09\\ t=\textit{elapsed time}\dotfill &1 \end{cases} \\\\\\ A=28000(1-0.09)^1\implies A=28000(0.91)\implies A=25480[/tex]

Answer:

  $25,480

Step-by-step explanation:

In one year, the car depreciates by 9% of its original value:

  0.09 × $28,000 = $2520 . . . . amount of depreciation

The value at the end of one year is ...

  $28,000 -2,520 = $25,480

The value one year after purchase is $25,480.

Answer:

They won 27 games

Step-by-step explanation:

10% of 30 is 3,

so 30-3= 27

Answer:

[tex]\frac{1}{12}[/tex]

Step-by-step explanation:

[tex]\frac{1}{3}[/tex] ÷ 4 = [tex]\frac{1}{3}[/tex] x [tex]\frac{1}{4}[/tex] = [tex]\frac{1}{12}[/tex]

When you have a fraction divide a number, you need to multiple it's reciprocal

Answer: 1/12

Step-by-step explanation:

1/3 x 1/4= 1/12

4/1 is flipped when switching from division ton multiplication

Answer: 2 kg

Step-by-step explanation:

The modal, or the mode, is the number that occurs most. 2 shows up three times, so 2 is the modal weight.

-----------------------------

Have a good day! I hope this was helpful.

Answer:

6(3x-1)

Step-by-step explanation:

They both have a common factor of 6

So divide 6 and take it out to give:

6(3x-1)

Let number be x

[tex] \leadsto \sf {x}^{2} + 2 = 227[/tex]

[tex] \\ \\ [/tex]

[tex] \leadsto \sf {x}^{2} = 227 - 2[/tex]

[tex] \\ \\ [/tex]

[tex] \leadsto \sf {x}^{2} = 225[/tex]

[tex] \\ \\ [/tex]

[tex] \leadsto \sf {x} = \sqrt{225} [/tex]

[tex] \\ \\ [/tex]

[tex] \leadsto \sf {x} = \sqrt{15 \times 15} [/tex]

[tex] \\ \\ [/tex]

[tex] \leadsto \sf {x} = 15[/tex]

Number = 15

Answer:

She will need to buy 3 more boxes of candies.

Step-by-step explanation:

72-45=27

27/9= 3

Answer:

1/2 < 2/3

Step-by-step explanation:

1/2 = .5 in decimal form while 2/3 is .6 repeating in decimal form

1/2 < 2/3

*Watch image for better understanding

Blue portion is 1/2

Red portion is 2/3

so, obviously red portion is bigger than blue one.

Answer:

34

Step-by-step explanation:

Angle A and B are complementary which means they both add up to 90 degrees. Angle A is x+22 while angle B is only x. If we add both together, we can call angle A+B to be 2x+22. We can rewrite this as 2x+22=90. Take the 22 over to the other side and its sign changes so it is now 2x=90-22. 90-22=68 so now we have 2x=68. To isolate the x divide both sides by 2 which gives us x=34.

Answer:

-48.6

Step-by-step explanation:

Answer:

Each person gets 1/2 a candy bar

Step-by-step explanation:

Since 30 people are going to share 15 candy bars. We can split up the candy bars to ensure everyone gets an equal piece. We do so by putting 15/30 as a fraction, which is equivalent to 1/2.

Answer:

Categorical variable

Step-by-step explanation:

An ordinal variable is a categorical variable for which the possible values are ordered. Please mark me as brainliest.

Answer:

10

Step-by-step explanation:

1 out of 50 got it, so 500/50=10

Answer:

10 students

Step-by-step explanation:

if the ratio is 1:50 and there are 500 kids then you multiply the 50 by 10 to make it 500 then you also multiply the 1 by to so only 10 kids made honor roll

Step-by-step explanation:

let T be the top of the ladder

let F be the foot of the ladder

let B be the base of the wall

you need to find the distance between the foot of the ladder and the base of the wall, in other words the distance of the 'ground' ( refer to the diagram).

you are given that the hypotenuse - H is 3 m and that the opposite - O ( wall ) is 2.8 m.

i) find the angle

given

H, O → use SOH, sin.

sin x = opp. /hyp.

sin x = 2.8 / 3

x = sin-1 ( 2.8/ 3)

x = 68.960...

x = 70.0 ° ( 3 s.f)

ii) use either tan or cos to find the adjacent (wall)

using TOA, tan:

tan ( 68.96) = 2.8/ adj.

2.8 / adj. = tan (68.96)

adj. × tan (68.96) = 2.8

adj = 2.8/ tan (68.96)

adj = 1.0770...

adj. = 1.08 ( 3 sf)

base = 1.08 m

or you could rather simply work this out using Pythagoras Theorem:

where hyp. is c², the base is b² and height is a²;

c² = a² + b²

b² = c² - a²

b² = (3)² - (2.8)²

b² = 1.16

b = √1.16

b = 1.0770

b = 1. 08 m ( 3sf)

you can give your answer to 3 sf or 2 sf.

hope this helps you!

-s.

Taxes are rates or amount deducted from individuals.

The borrower paid $605.36 for county taxes

From the table, we have the following entry:

County taxes (half year)         (6)        $605.36

The above represents the amount paid for county taxes

Hence, the borrower paid $605.36 for county taxes

Read more about tax at:

https://brainly.com/question/9437038

Answer:

$605.36

$605.36

$605.36

$605.36

$605.36

$605.36

Answer:

x= 96

Step-by-step explanation:

an triangles angles always add up to 180 so 44+40 equals 84 and 180-84= 96.

Answer:

20 + 4 = m             92 - 5 = m

Step-by-step explanation:

due the the fact that theres no number for how meny months there are

hahahahahahahhahahahahah

50 oz. of 12% sugar and 30 oz. of 20% sugar is needed to produce 80 oz. of 15% sugar.

An equation is an expression used to show the relationship between two or more numbers and variables.

Let x represent the amount of 12% sugar and y represent the amount of 20% sugar need to produce 80 oz. of 15% sugar. Hence:

x + y = 80   (1)

Also:

0.12x + 0.2y = 0.15(80)   (2)

From both equations:

x = 50, y = 30

50 oz. of 12% sugar and 30 oz. of 20% sugar is needed to produce 80 oz. of 15% sugar.

Find out more on Equation at: https://brainly.com/question/18831322

Answer:

h = 590

Step-by-step explanation:

To find x, rearrange the equation to where h is on its own side.

Rearranged equation:

[tex]759 - 169 = h[/tex]

Since 169 added to h was to find 769, 169 subtracted from 759 represents h.

Solve:

[tex]759 - 169 = 590[/tex]

590 = h.

Answer:

Juanita must work 3 hours and above to be able to buy new shoes.

Step-by-step explanation:

Initially, Juanita has $25 and make $11 per hour

meaning, Juanita's new cash in hand after t hours is;

[tex]\tt C=25+11t[/tex]

Juanita needs at least $58 to buy new shoes;

meaning, the minimum cash Juanita should have should be $58 and above.

Simply put,

[tex]\tt C\geq 58[/tex]

[tex]---> \tt 25+11t\geq 58[/tex]

[tex]\tt --->11t\geq 58-25[/tex]

[tex]---> \tt 11t\geq 33[/tex]

[tex]----> \tt t\geq \frac{33}{11}[/tex]

[tex]---> \tt t>3[/tex]

The solution reveals that Juanita must work 3 hours and above to be able to buy new shoes.

-Thanks for choosing Brainly!

-Have an awesome day!

-Nature-

Answer:

x = 14

Step-by-step explanation:

All angles add up to 180

2x - 5 + 3x - 8 + 10x - 17 = 180

Combine like terms and solve

x = 14

Answer:

there are 18 Adults 18 Teenagers and 20 small children

Answer:

W is 9

Step-by-step explanation:

18+4w=6w

   -4w-4w

18=2w

/2 /2

w=9

Answer:

w = 9

Step-by-step explanation:

18+4w=6w

Rearrange terms

4w + 18 = 6w

Subtract 18 from both sides of the equation

4w+18-18=6w-18

Simplify

4w = 6w-18

Subtract 6w from both sides of the equation

4w-6w=6w-18-6w

Simplify

-2w=-18

Divide both sides of the equation by the same term

-2w/-2=-18/-2

w = 9

[RevyBreeze]

Answer:

Answer: The height of the given equilateral triangle is 3√3 cm.

Answers:

a = -2

b = -1

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

Explanation:

The first piece 5 must match up with the ax+b when x = -2, or else the function wouldn't be continuous at this junction.

Plug in x = -2 and set the result equal to 5

We end up with -2a+b = 5

Solving for b gets us b = 5+2a

--------------

The middle piece ax+b must also equal the third piece -5 when x = 3 to ensure the second junction is continuous.

This leads us to the equation 3a+b = -5

Apply substitution and solve for 'a'

3a+b = -5

3a+5+2a = -5

5a+5 = -5

5a = -5-5

5a = -10

a = -10/5

a = -2 is one of the answers

Then use this to find b

b = 5+2a

b = 5+2(-2)

b = 5-4

b = -1 is the other answer