The value of a vase n years after it was
made is given by this formula:
value in pounds (£) = 500 x 1.28"
=
a) What was the original value of the
vase?
b) By what percentage does the value of
the vase increase each year?

Answer: C

Step-by-step explanation:

Given:

Sample size (n) = 50

x = 12

[tex]\widehat{\mathbf{p}}=\frac{\mathbf{x}}{n}=\frac{12}{50}=0.24[/tex]

Confidence level = 90%

α = 1 − 0.90 = 0.10

α/2 = 0.05

[tex]\text { Critical value }\left(z_{c}\right)=z_{\frac{\alpha}{2}}=z_{0.05}=1.6449[/tex]

(from standard normal table)

90% Confidence interval is,

[tex]\begin{aligned}&\text { Confidence interval }=\widehat{\mathbf{p}} \pm z_{c} \times \sqrt{\frac{\hat{\mathbf{p}}(1-\hat{\mathbf{p}})}{n}} \\&\text { C. I }=0.24 \pm 1.6449 \times \sqrt{\frac{0.24(1-0.24)}{50}} \\&\text { C. I }=0.24 \pm 1.65 \times \sqrt{\frac{0.24(1-0.24)}{50}}\left\end{aligned}[/tex]

Therefore, 90% confidence interval for the true proportion of sophomores who favour the adoption of uniforms is C

4 ft³

volume of rectangle = length x width x height

given:

volume of basket:

l * w * d

2 * 1 * 2

4 ft³

Answer:

4 ft³

Step-by-step explanation:

Volume of a square prism

volume = l × w × d

(where l is the length, w is the width and d is the depth)

Given:

⇒ volume = 2 × 1 × 2

                 = 4 ft³

Answer:

3/17=.18

Step-by-step explanation:

There is a .18 or 3/17 chance that a car leaving will be black.

Answer: 60 times 4 = 240 or 60 time 4 square is 960

Step-by-step explanation:

Answer/Step-by-step explanation:

Given:

Seven more than the quotient of a number b and 45 is greater than 5

So:

Seven more than the quotient of a number b and 45 is greater than 5

=

7 + b/45 > 5

Solve if needed:

[tex]\begin{bmatrix}\mathrm{Solution:}\:&\:b > -90\:\\ \:\mathrm{Interval\:Notation:}&\:\left(-90,\:\infty \:\right)\end{bmatrix}[/tex]

[tex]\mathrm{Subtract\:}7\mathrm{\:from\:both\:sides}[/tex]

[tex]7+\frac{b}{45}-7 > 5-7[/tex]

[tex]\mathrm{Simplify}[/tex]

[tex]\frac{b}{45} > -2[/tex]

[tex]\mathrm{Multiply\:both\:sides\:by\:}45[/tex]

[tex]\frac{45b}{45} > 45\left(-2\right)[/tex]

[tex]\mathrm{Simplify}[/tex]

[tex]b > -90[/tex]

~Lenvy~

This question is asking for the y-intercept. The y-int is when x = 0.

First, plug in x as 0...

y = 3(0) + 5

y = 0 + 5

y = 5

Lines come in the form y = mx + b

m is slope, b is the y-intercept

Answer:

He sold 38 cars

Step-by-step explanation:

first we subtract his base salary from how much he made, 9,220.11 - 1,137.80 = 8,082.22

then we divide that by the commission he gets from selling 1 car which is 212.29, the equation looks like: 8,082.22 / 212.69 and that equals 38 which means he sold 38 cars.

Answer: 33

To maximize the length of the third side, which I'll call x, it needs to be the longest side.

So by the triangle inequality theorem, 19+15>x, meaning the maximum whole number value of x is 33.

Answer:

15% off

Step-by-step explanation:

28-23.80 = 4.2$

23.8/28 = 0.85

100-85 = 15

15%

Answer:

The density is 0.2g/mL^2.

Step-by-step explanation:

Answer:

67

Step-by-step explanation:

203-199=4

199-195=4

☆decreases by 4

there are 34 spaces

1 2 3 4 5 6 7 8 9 10

11 12 13 14 15 16 17 18 19 20

21 22 23 24 25 26 27 28 29 30

31 32 33 34 35

203-4 (34)

203-136

=67

35th term of the arithmetic sequence 203, 199, 195,...... is 67.

An ordered group of numbers with a shared difference between each succeeding word is known as an arithmetic sequence.

The given arithmetic sequence is,

203, 199, 195,......

In the sequence, the first time a = 203,

And common difference of the sequence d = -4

Formula for nth term of the sequence,

aₙ = a + (n-1) . d

To find 35th term of the sequence, substitute n= 35,

a₃₅ = 203 + (35-1).(-4)

     = 203 + 34x-4

     = 203 - 136

     = 67

The 35th term of the given sequence is 67.

To learn more about Arithmetic sequence on :

https://brainly.com/question/1452631

#SPJ2

Answer:

Its 3 because the radius if half of the diameter

Step-by-step explanation:

Answer:

should be 110

Step-by-step explanation:

hope that helps!

The total cost of 190 bon-bon chocolate to the nearest cent would be $30.49.

Multiplication is the process of determining the product of two or more numbers using a specialised mathematical operation. The sign that denotes multiplication is x.

Total cost = cost per gram x mass x number of bon bon

Mass = density x volume

1.28 x (4/3 x 3.14 x 1.1³) =5.35

Cost = 5.35 x 0.03 x 190 = $30.49

To learn more about multiplication, please check: brainly.com/question/3385014

Answer: a 5/24

Step-by-step explanation:

3 + 5 + 1 = 9

First = Pop Song     P = 3/9  = 1/3

Seconed = Hip Hop Song       P2 =  5/9-1   = 5/8

So P = 1/3 x 5/8 = 5/24

So that makes A the correct answer

Answer:

x is what????

Step-by-step explanation:

Answer:

6468 mm²

Step-by-step explanation:

Given:

Therefore, the area of the small rectangle is:

= width × length

= 21 × y

= 21y mm²

From inspection of the larger rectangle

Therefore, the area of the larger rectangle is:

= width × length

= 84(2y + 21)

= 168y + 1764 mm²

We know that the area of the larger rectangle is 11 times the area of the smaller rectangle. Therefore,

⇒ 11 small rectangles = larger rectangle

⇒ 11(21y) = 168y + 1764

⇒ 231y = 168y + 1764

⇒ 63y = 1764

⇒ y = 28

Therefore, the missing side length of the smaller rectangle is 28 mm.

Finally, to find the area of the larger rectangle, substitute the found value of y into the found expression for its area:

⇒ area = 168y + 1764

⇒ area = 168(28) + 1764

⇒ area = 4704 + 1764

⇒ area = 6468 mm²

Answer:

2 and 3

Step-by-step explanation:

prime numbers=2,3,4,5,...

taking 2 and 3

2+3=5

5²=25

hence the different prime numbers are 2 and 3

The numbers can be (2, 7), (2, 23), (3, 13), (5, 11)

A prime number is a whole number greater than 1 whose only factors are 1 and itself.

Given that, Nidah writes down two different prime numbers.

She adds together her two numbers.

Her answer is a square number less than 30

Square numbers less than 30 are = 1, 4, 9, 16, 25

The pairs of numbers that can satisfy the given condition are;

2 + 7 = 9

2 +23 = 25

3 + 13 = 16

5 + 11 = 16

Hence, Nidah could have chosen from these numbers (2, 7), (2, 23), (3, 13), (5, 11)

For more reference on Prime numbers, click;

https://brainly.com/question/15048606

#SPJ2

Answer:

C is the answer

Good luck! :)

Answer:

x = 16.71m

Step-by-step explanation:

KL² = KX² + LX² - 2KX × LX × cos(KXL)

x² = 26² + 20² - 2 × 26 × 20 × cos(40°)

x = 16.713m ≈ 16.71m

PLEASE MARK ME AS BRAINLIEST AND HAVE A NICE DAY :)

Answer:

x = 71

Step-by-step explanation:

The horizontal lines are parallel, right?

So that means the degrees shown are complimentary angles(they add up to 180 degrees, a straight line)

so that means the algebraic equation is 109 + x = 180

x = 180-109

x = 71

Hope this helps. Mark brainliest if best., if not, hope it helps anyway.

Answer:

(4, 4)

Explanation:

(4, 4) is the only point which lies inside both of the inequalities.

Answer:

Step-by-step explanation:

4x + y = 2

y = -4x + 2

Answer:

ο Neither is correct.

Step-by-step explanation:

1) the vertex has coordinates (5;-7) the equation must be made up according to the rule: y=(x-x₀)²-y₀, where (x₀;y₀) - the coordinates of the vertex;

2) according to the rule above the equation of the given graph is:

y=(x-5)²-7;

3) finally, 'neither is correct'

Answer:

r = 15

The radius of the sphere is 15 feet.

Step-by-step explanation:

see image.

Use the formula for the volume of a sphere:

V = 4/3 • pi • r^3

Fill in the 4500pi that is given for the V.

4500pi = 4/3 • pi•r^3

Then solve for r.

see image.

Multiply by 3/4 to get rid of the 4/3.

Divide both sides by pi.

Then cube root to get rid of the third power on the r.

see image.

Don't forget units.

r = 15 feet

Hope this helps! Pls mark Brainliest! tysm!

Answer:

m∠O=67

Step-by-step explanation:

m∠O=180-m∠R-the other angle since it is not given we can assume that the other angle is the same as m∠O so you divide 134 by 2 to get 67 therefore m∠O=67

Answer:There are 7 daises

Step-by-step explanation: half of 16 roses is 8 and half of 14 daises is 7. given the ratios from roses to daises is 8:7

Answer:

10 daisies

Step-by-step explanation: