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3 years ago

What is the fraction for five over two

Mathematics

1 answer:

nignag [31]3 years ago

3 0

Answer:

So normally you would say it as

\ /

2 and 1/2

/ \

(2 1/2)

*eliza*

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George collects 25 baseball cards each month. How many cards will he have at the end of one year? Complete the equation to help

kaheart [24]

25(cards per month) x12(months in one year) =300 cards at the end of one whole year

4 0

3 years ago

Read 2 more answers

Consider the one-sided confidence interval expressions for the mean of a normal population. Round your answers to 2 decimal plac

ser-zykov [4K]

Answer: a) 0.84 b) 0.67 c) 1.28

Step-by-step explanation:

Using the standard normal distribution table for z-value , we have

(a) The value of $z_{\alpha}$ would result in a 80% one-sided confidence interval : $z_{(1-0.80)}=z_{0.20}=0.8416\approx0.84$

(b) The value of $z_{\alpha}$ would result in a 85% one-sided confidence interval : $z_{(1-0.85)}=z_{0.25}=0.6744897\approx0.67$

(c) The value of $z_{\alpha}$ would result in a 90% one-sided confidence interval : $z_{(1-0.90)}=z_{0.10}=1.2815515\approx1.28$

6 0

3 years ago

A pyramid has a square base of length 8cm and a total surface area of 144cm². Find the volume of the pyramid. (Please use Pythag

Sveta_85 [38]

Answer:

$\displaystyle V_{ \text{pyramid}}= 64 \: {cm}^{3}$

Step-by-step explanation:

we are given surface area and the length of the square base

we want to figure out the Volume

to do so

we need to figure out slant length first

recall the formula of surface area

$\displaystyle A_{\text{surface}}=B+\dfrac{1}{2}\times P \times s$

where B stands for Base area

and P for Base Parimeter

$\sf\displaystyle \: 144=(8 \times 8)+\dfrac{1}{2}\times (8 \times 4) \times s$

now we need our algebraic skills to figure out s

simplify parentheses:

$\sf\displaystyle \: 64+\dfrac{1}{2}\times32\times s = 144$

reduce fraction:

$\sf\displaystyle \: 64+\dfrac{1}{ \cancel{ \: 2}}\times \cancel{32} \: ^{16} \times s = 144 \\ 64 + 16 \times s = 144$

simplify multiplication:

$\displaystyle \: 16s + 64 = 144$

cancel 64 from both sides;

$\displaystyle \: 16s = 80$

divide both sides by 16:

$\displaystyle \: \therefore \: s = 5$

now we'll use Pythagoras theorem to figure out height

according to the theorem

$\displaystyle \: {h}^{2} + (\frac{l}{2} {)}^{2} = {s}^{2}$

substitute the value of l and s:

$\displaystyle \: {h}^{2} + (\frac{8}{2} {)}^{2} = {5}^{2}$

simplify parentheses:

$\displaystyle \: {h}^{2} + (4 {)}^{2} = {5}^{2}$

simplify squares:

$\displaystyle \: {h}^{2} + 16 = 25$

cancel 16 from both sides:

$\displaystyle \: {h}^{2} = 9$

square root both sides:

$\displaystyle \: \therefore \: {h}^{} = 3$

recall the formula of a square pyramid

$\displaystyle V_{pyramid}=\dfrac{1}{3}\times A\times h$

where A stands for Base area (l²)

substitute the value of h and l:

$\sf\displaystyle V_{ \text{pyramid}}=\dfrac{1}{3}\times \{8 \times 8 \}\times 3$

simplify multiplication:

$\sf\displaystyle V_{ \text{pyramid}}=\dfrac{1}{3}\times 64\times 3$

reduce fraction:

$\sf\displaystyle V_{ \text{pyramid}}=\dfrac{1}{ \cancel{ 3 \: }}\times 64\times \cancel{ \: 3}$

hence,

$\sf\displaystyle V_{ \text{pyramid}}= 64 \: {cm}^{3}$

8 0

2 years ago

Find each measurement indicated. Round your answers to the nearest tenth.

Crazy boy [7]

Answer:

Step-by-step explanation:

Find AB using the Law of Sine:

$\frac{AB}{sin(C)} = \frac{AC}{sin(B)}$

Thus:

$\frac{AB}{sin(40)} = \frac{47}{sin(103)}$

Multiply both sides by sin(40)

$\frac{AB}{sin(40)}*sin(40) = \frac{47}{sin(103)}*sin(40)$

$AB = \frac{47*Sin(40)}{sin(103)}$

AB = 31.0056916 ≈ 31.0 cm (nearest tenth)

6 0

3 years ago

Bruno bought 96 pounds of sugar for his bakery. Every day he used the same amount of sugar to make bakery items. After 10 days,

Tasya [4]

Bruno used 8.08 pounds of sugar each day, because if you multiply 8.08 times ten it gives you 80.8 and 96 - 80.8 = 15.2

7 0

3 years ago