At the beginning of the month, Sarah had 600 in her bank account. Within the month she made two deposits of and She also made three withdrawals 100, , and 20. How much was in her account at the end of the month?

Answer:

The shipping container's volume is 24 cubic feet.

Step-by-step explanation:

Being a rectangular box, you can find the volume of it by multiplying its length, width, and height together.

We're given the dimensions 4' x 2' x 3'.  If we multiply those we get (4 × 2 × 3)', or 24 cubic feet.  The box then has a volume of 24 cubic feet.

Answer:

-$2.32

Step-by-step explanation:

Give that

The selling price per ticket is $9

And the number of tickets sold is 500

So,

There is one grand prize, three $300 second prize, and eleven $40 third prizes

We need to find out the expected value of the profit

[tex]= \frac{1}{500} \times 2000 + \frac{3}{500} \times 300 + \frac{11}{500} \times 40\\\\[/tex]

= 4 + 1.8 + 0.88

= 6.68

Now the expected profit is

= $6.68 - $9

= -$2.32

Answer:

2/33

Step-by-step explanation:

calculator.net

Answer:

.165, i think

.165×2 =.33

have a good day

Answer:

Hope This Helps!

Step-by-step explanation:

Answer:

The table is a quadratic function

Step-by-step explanation:

Given

The attached table

Required

Tell if it is a quadratic function

The difference in the x values are uniform (i.e. difference of 1), so the following method can be applied.

(1) Subtract adjacent y values.

[tex]d_1=2 - 16 = -14[/tex]

[tex]d_2=-2 - 2 = -4[/tex]

[tex]d_3 = 4--2 = 6[/tex]

[tex]d_4 = 20 - 4 = 16[/tex]

(2) Subtract adjacent differences in (1) above

[tex]d_5 = d_2 - d_1 = -4 --14 = 10[/tex]

[tex]d_6 = d_3 - d_2 = 6 --4 = 10[/tex]

[tex]d_7 = d_4 - d_3 = 16 -6 = 10[/tex]

Notice the calculated differences in (2) are the same.

Hence, the table is a quadratic function

Answer:

The three best can be chosen and ranked in 336 ways.

Step-by-step explanation:

Since you are asked to list the movies in order of preference, the order is important, as a higher order leads to a higher preference. This means that the permutations formula is used to solve this question.

Permutations formula:

The number of possible permutations of x elements from a set of n elements is given by the following formula:

[tex]P_{(n,x)} = \frac{n!}{(n-x)!}[/tex]

If you saw eight movies this year, in how many ways can the three best be chosen and ranked?

[tex]P_{(8,3)} = \frac{8!}{(8-3)!} = 336[/tex]

The three best can be chosen and ranked in 336 ways.

Answer:

Step-by-step explanation:

36/78 = 0.46153,,,, nope.. not a choice

36/123 = 0.2926.... so the last answer looks good

9514 1404 393

Answer:

  v = <-5, 1> ≈ <5.09902, 168.69°>

Step-by-step explanation:

Vector u has its tail at the origin, so the coordinates of its head give you the components of the vector. To find the components of vector v, you can translate it so its tail is at the origin, or you can simply subtract the tail coordinates from the head coordinates.

  v = <1, -2> -<6, -3> = <1-6, -2-(-3)>

  v = <-5, 1>

As you know, the magnitude is the root of the sum of the squares of the components:

  |v| = √(5²+1²) = √26 ≈ 5.09902

The tangent of the angle is the ratio of y to x coordinates. When using the arctangent function, the quadrant needs to be taken into account.

  ∠v = arctan(1/-5) ≈ 168.69°

Vector v is ...

  v = <-5, 1> ≈ <5.09902, 168.69°>

Answer:

[tex] \displaystyle a_{1} = 108[/tex]

Step-by-step explanation:

we are given

the sum,common difference and nth term of a geometric sequence

we want to figure out the first term

recall geometric sequence

[tex] \displaystyle S_{ \text{n}} = \frac{ a_{1}(1 - {r}^{n} )}{1 - r} [/tex]

we are given that

thus substitute:

[tex] \displaystyle 189= \frac{ a_{1}(1 - {( \frac{1}{2} )}^{3} )}{1 - \frac{1}{2} } [/tex]

to figure out [tex]a_1[/tex] we need to figure out the equation

simplify denominator:

[tex] \displaystyle \frac{ a_{1}(1 - {( \frac{1}{2} )}^{3} )}{ \dfrac{1}{2} } = 189[/tex]

simplify square:

[tex] \displaystyle \frac{ a_{1}(1 - {( \frac{1}{8} )}^{} )}{ \dfrac{1}{2} } = 189[/tex]

simplify substraction:

[tex] \displaystyle \frac{ a_{1} (\frac{7}{8} )}{ \frac{1}{2} } = 189[/tex]

simplify complex fraction:

[tex] \displaystyle a_{1} (\frac{7}{8} ) \div { \frac{1}{2} } = 189[/tex]

calculate reciprocal:

[tex] \displaystyle a_{1} \frac{7}{8} \times 2 = 189[/tex]

reduce fraction:

[tex] \displaystyle a_{1} \frac{7}{4} \ = 189[/tex]

multiply both sides by 4/7:

[tex] \displaystyle a_{1} \frac{7}{4} \times \frac{4}{7} \ = 189 \times \frac{4}{7} [/tex]

reduce fraction:

[tex] \displaystyle a_{1} = 27\times 4[/tex]

simplify multiplication:

[tex] \displaystyle a_{1} = 108[/tex]

hence,

[tex] \displaystyle a_{1} = 108[/tex]

Answer:

Angle BOD = 75⁰

Step-by-step explanation:

Answer attached...

Hope it helps :)

Answer:

[tex]61.261 {ft}^{2} [/tex]

Step-by-step explanation:

[tex] \frac{270}{360} \times 2\pi \: r \\ \frac{270}{360} \times 2 \times \pi \times 13 \\ = 61.261 {ft}^{2} [/tex]

Answer:

86 %

Step-by-step explanation:

Total no. of squares = 50

No. of green squares = 43

Percentage of green squares = (43/50) x 100%

Percentage = 86%

Answer: 25%

Step-by-step explanation: your welcome

Answer:

Step-by-step explanation:

Answer:

C. teacher-student

Step-by-step explanation:

the pattern is girl, boy, girl boy, and teacher and student don't have a gender connection

Answer:

equation of a line

Step-by-step explanation:

Answer:

Formula used during line equations

9514 1404 393

Answer:

  1: 40°; 2: 110°; 3: 70°; 4: 45°; 5: 65°

  6: 70°; 7: 70°; 8: 65°; 9: 45°; 10: 17.5°

  11: 15°; 12: 37.5°; 13: 70°; 14: 72.5°; 15: 20°

  16: 87.5°; 17: 77.5°; 18: 35°; 19: 75°; 20: 20°

  21: 50°; 22: 95°

Step-by-step explanation:

The angles are shown in the attached. The following relationships are used to find them.

_____

All of the arcs around the circle are shown except EL and HN. EL is the difference between 180° and the other marked angles in semicircle SLH. It is 90°. HN has a vertical central angle with arc SE, so is the same measure, 40°.

Angle 1 is the central angle for arc HN, so has the same measure: 40°.

Angle 2 is half the sum of arcs SL and HW, so is (130+90)/2 = 110°.

Angle 3 is vertical to the second remote interior angle in triangle BDQ where angle 2 is an exterior angle. That is ∠3 = ∠2 -∠1 = 110° -40° = 70°.

Angle 4 is half arc NL, so is (40° +30° +20°)/2 =45°.

Angle 5 is the remaining interior angle of ∆BNW, so is 180° -70° -45° = 65°.

Angle 6 is half of arc HE, so is (30° +20° +90°)/2 = 70°.

Angle 7 is half of arc SN, so is 140°/2 = 70°.

  — note that triangle HNQ is an isosceles triangle with central angle 40°, so the two base angles (∠6 and ∠7) are (180° -40°)/2 = 70°.

Angle 8 is half the measure of arc LS, so is (90° +40°)/2 = 65°.

Angle 9 is half the measure of arc HW, so is (40° +50°)/2 = 45°.

Angle 10 is half the measure of arc ST, so is 35°/2 = 17.5°.

Angle 11 is half the measure of arc OT, so is 30°/2 = 15°.

Angle 12 is half the measure of arc NO, so is (50° +25°)/2 = 37.5°.

Angle 13 is half the measure of arc HE, so is 140°/2 = 70°.

Angle 14 is half the measure of arc HT, so is (180° -35°)/2 = 72.5°.

Angle 15 is half the measure of arc ES, so is 40°/2 = 20°.

Angle 16 is vertical to the remaining interior angle of the triangle containing angles 14 and 15. Its measure is 180° -72.5° -20° = 87.5°.

Angle 17 is half the sum of arcs ES and OH, so is (40° +115°)/2 = 77.5°.

Angle 18 is half the measure of arc RN, so is (30° +40°)/2 = 35°.

Angle 19 is half the sum of arcs LR and EW, so is (20° +130°)/2 = 75°.

Angle 20 is half the measure of arc HN, so is 40°/2 = 20°.

Angle 21 is complementary to angle 1, so is (90° -40°) = 50°.

Angle 22 is the remaining interior angle of triangle ACE, so is (180° -35° -50°) = 95°.

Answer:

It is a negative slope :)

Answer: Base and Height

Step-by-step explanation: You would multiply the base and height. Since it is not a triangle you wouldn't divide it by 2

Answer:

Step-by-step explanation:

1. Rotate the triangle 90º counterclockwise about the origin and then translate it 10 units left and 9 units down.

2. Rotate the triangle 90º clockwise about the origin and then translate it 10 units left and 9 units down.

3. Rotate the triangle 90º counterclockwise about the origin then translate it 1 unit up.

4. Rotate the triangle 90º clockwise about the origin then translate it 1 unit up.

Answer:

Since P(male)xP(fail) = 0.0549 and and P(male and fail) = 0.0773, the two results are different, so the events are not independent.

Answer:

18 people.

Step-by-step explanation:

thirty percent of 60 is 18

Answer:

AC = 7.8 cm

Step-by-step explanation:

AE² = 6² - 3² = 36 - 9 = 27

AE = √27 = 5.196

EC² = 4²- 3² = 16 - 9 = 7

EC = √7 = 2.646

AC = 5.196 + 2.646 = 7.84 cm

Answer:

here the smallest positive no be (0,-14)

Step-by-step explanation:

The computation is shown below:

Here we put the value of x as 0, 1,2, 3

And solve the polynomial

Given that

-4x^2 + 5x + 7

Now

x = 0

So,

= -4(0)^2 + 5(0) + 7

= 0 + 0 + 7

= 7>0

x = 1

= -4(1)^2 + 5(1) + 7

= -4 + 5 + 7

= 8>0

x = 2

= -4(2)^2 + 5(2) + 7

= -16 + 17

= 1>0

x = 3

= -4(3)^2 + 5(3) + 7

= -36 + 15 + 7

= -14>0

So, here the smallest positive no be (0,-14)

Answer:

Step-by-step explanation:

a, b, c

a + b > c ; b + c > a ; a + c > b

5 + 4 < 10 ⇒ triangle not possible

Answer:

Triangle not possible.

Step-by-step explanation:

The Triangle Inequality Theorem states that the sum of two sides must be larger than the third side.

5 + 4 = 9

9 cm is not longer than 10 cm.

10 > 9

Therefore, the triangle is not possible..

Answer:

The correct answer is "9.3%".

Step-by-step explanation:

The given values are:

Amount of interest,

= $590

Principle,

= $8,000

Time:

= 285

Let the interest rate will be "x".

Now,

⇒  [tex]Amount \ of \ interest=Principle\times Interest \ rate\times \frac{time}{No. \ of \ days \ in \ year}[/tex]

On substituting the values, we get

⇒                             [tex]590=8000\times x\times \frac{285}{360}[/tex]

⇒                             [tex]590=6333.33\times x[/tex]

⇒                                [tex]x=\frac{590}{6333.33}[/tex]

⇒                                   [tex]=9.3157 \ percent[/tex]

or,

⇒                                   [tex]=9.3[/tex]%

Answer:

E

Step-by-step explanation:

Since the pp-value exceeds, the null hypothesis is not ruled out. The argument that younger voters are more impacted by negative advertisements than older ones is supported by compelling evidence. The correct option is C.

The null hypothesis is accepted as the P value is greater than the significant level.

Given :

Percentage older voters = po

Percentage younger voters = py

H0: po = pL

Ha: py > pL

Pvalue = 0.206; α = 0.05

Decision Region :

If Pvalue > α ; We can not reject H0

In the scenario above,

P value> α ; 0.206 < 0.05; Hence, we can not reject the Null.

To know more about the null Hypothesis follow

https://brainly.com/question/13135308

#SPJ6

Answer:

Yes

Step-by-step explanation:

Triangle angles have to add up to 180

Answer:

No

Step-by-step explanation:

isosceles triangle have two equal angle and one unequal angle.

the above triangle would be an acute equilateral triangle