Which of the following can be used to construct a triangle?

A ) 4cm 12cm 8cm
B) 5cm 12cm 10cm
C) 16cm 4cm 6cm
D) 30cm 12cm 6cm

Answer:

Perpendicular

Answer:

-2>y>5

Hope this helps

Answer:

You know that 5 g of sugar form 12%. Let x g be the amount of water needed. The total amount of syrup will be x+5 g. Then

5 g - 12%,

x+5 g - 100%.

mathematically you can write a proportion;

5/x+5=12/100

=>500=12(x+5)

,500=12x+60

,12x=400,

x=440/12

=110/3

36.66 grams of water is added  to make 12% sugar syrup using 5g sugar.

A ratio is an ordered pair of numbers a and b, written a / b where b does not equal 0.

Let the amount of water is added be 'x'.

Amount of sugar = 5 g

We need to make 12% of sugar syrup.

x grams of water is added to 5 g of sugar, to 12% of sugar syrup.

5/5+x=12/100

Apply cross multiplication

5×100=12(5+x)

500=60+12x

Subtract 60 from both sides

440=12x

Divide both sides by 12

x=36.66

Hence, 36.66 grams of water is added  to make 12% sugar syrup using 5g sugar.

To learn more on Ratios click:

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Answer:

a) Since np >= 5 and n(1-p) >= 5, the approximation is justified

b) 0.7

c) 0.0725

d) 0.5098 = 50.98% probability that a sample proportion, p,would differ from p = 0.70 by as much as 0.05

Step-by-step explanation:

We use the normal distribution and the central limit theorem to solve this question.

Normal probability distribution

When the distribution is normal, we use the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean [tex]\mu = p[/tex] and standard deviation [tex]s = \sqrt{\frac{p(1-p)}{n}}[/tex]

In this question, we have that:

[tex]p = 0.7, n = 40[/tex]

a. Show that this sample size is large enough to justify using the normal approximation to thesampling distribution of p.

We need that: np >= 5, n(1-p) >= 5. So

np = 40*0.7 = 28 > 5

n(1-p) = 40*0.3 = 12 > 5

Since both conditions are satisfied, the approximation is justified.

b. What is the mean of the sampling distribution of p if the real estate agents are correct?

This is [tex]\mu = p = 0.7[/tex]

c. What is the standard deviation of the sampling distribution of p if the real estate agents are correct?

This is [tex]s = \sqrt{\frac{p(1-p)}{n}} = \sqrt{\frac{0.7*0.3}{40}} = 0.0725[/tex]

d. If the real estate agents are correct, what is the probability that a sample proportion, p,would differ from p = 0.70 by as much as 0.05?

This is the pvalue of Z when X = 0.7 + 0.05 = 0.75 subtracted by the pvalue of Z when X = 0.7 - 0.05 = 0.65. So

X = 0.75

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

By the Central Limit Theorem

[tex]Z = \frac{X - \mu}{s}[/tex]

[tex]Z = \frac{0.75 - 0.7}{0.0725}[/tex]

[tex]Z = 0.69[/tex]

[tex]Z = 0.69[/tex] has a pvalue of 0.7549

X = 0.65

[tex]Z = \frac{X - \mu}{s}[/tex]

[tex]Z = \frac{0.65 - 0.7}{0.0725}[/tex]

[tex]Z = -0.69[/tex]

[tex]Z = -0.69[/tex] has a pvalue of 0.2451

0.7549 - 0.2451 = 0.5098

0.5098 = 50.98% probability that a sample proportion, p,would differ from p = 0.70 by as much as 0.05

Answer:

38%

Step-by-step explanation:

Original price = $ 80

Price after reduction = $ 49.60

Reduction = 80 - 49.60  = $30.40

Percentage of decrease = [tex]\frac{reduction price}{original price}*100[/tex]

                                         [tex]= \frac{30.40}{80}*100\\\\=\frac{3040}{80}[/tex]

                                          =  38%

Answer:

38%

Step-by-step explanation:

80x0.62=49.60

Answer:

[tex] x = zk + z + \mu[/tex]

Step-by-step explanation:

[tex] z = \frac{x - \mu}{k + 1} \\ \\ z(k + 1) = x - \mu \\ \\ z(k + 1) + \mu =x \\ \\ \red{ \bold{ x = zk + z + \mu}}[/tex]

Answer:

i7x+×52=/67, hope this helps!!!!

Answer:

x=2

Step-by-step explanation:

Answer:

16 milliliters of 2% solution

48 milliliters of 10% solution

Step-by-step explanation:

x = 2% solution

y = 10% solution

System of Equations:

x + y = 64

.02x + .10y = 64(.08)

use Substitution:  y = 64 - x

.02x + .10(64 - x) = 5.12

.02x + 6.4 - .10x = 5.12

-.08x = -1.28

x = 16

y = 64 - 16 which equals 48

Answer:

I think is 20

opcion 2 ......

Answer:

two numbers are 37 and 20

Step-by-step explanation:

x+y=57

let x be the smaller number

y=x+17

x + x+17=57

2x=57-17

2x=40

x=20

y=x +17

y=20+17

y=37

Answer:

5.3 to the 4th power :)

Step-by-step explanation:

Answer:

1/how ever many students are going to Paris

Step-by-step explanation:

Answer:

It’s C

And I think is c

Answer:

x=0 the value of y is 1/1 so this line cuts the y axis at y=1.00000. y=0 the value of x is 1/5 our line therefore cuts the axis at x=0.20000

Answer:

a) x ≤ -8

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Step-by-step explanation:

Step 1: Define

-3 + x ≤ -11

Step 2: Solve for x

Here we see that any value x smaller than or equal to -8 would work as a solution to the inequality.

Answer: 76x+97/56

Step-by-step explanation:

Answer:

76x + 97

_______

    56

Step-by-step explanation:

Answer:

El lado del cuadrado es de 20 my el área del cuadrado es de 400 metros cuadrados. Paso a paso ... El perímetro de un cuadrado es 80 m. ¿Cuál es la longitud de cada lado del cuadrado ... Para celosía & lt; L, * & gt; si a, b, ce L thena + (a e b) = a se llama.

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Because the the contract will be in verbal form. no matter if it is videotaped or recorded or both a "videoed verbal contract" not just written. so like paper thst is notarized or not this is still the same bc the the same rules apply the contract is still valid. the rest of the options are more like what they call gentlemens agreements which would be the handshake type of thing. and no matter what any agreement someone has to witness the transaction or contract. so definitely the answer is B

Answer:

8,000 m^3

Step-by-step explanation:

The computation of the volume of the modified cube in cubic meters is shown below:

Given that

Volume = 64 m^3

So each side would be

= ∛64

= 4

Now each side is scaled by 5 so each side would be

= 4 × 5m

= 20m

Now the volume of the modified cube is

= 20^3

= 8,000 m^3

Answer:

8,000

Step-by-step explanation:

When the sides of the cube are scaled by a factor of k, the volume increases by a factor of k3. Here, the new volume is 64 cubic meters × 53 = 8,000 cubic meters.

9514 1404 393

Answer:

  A, C, E

Step-by-step explanation:

A. 0.6 • 25 = x . . . . . a direct translation of 60% of 25 (yes)

B. x • 1.6 = 25 . . . no (means 160% of x is 25)

C. 6/10=x/25 . . . . . . the ratio of x to 25 is 60% (yes)

D.60/100 = 25/x . . . no (means 25 is 60% of x)

E. x/25 = 60/100 . . . . . the ratio of x to 25 is 60% (yes)

F.6.0 • 25 = x . . . no (no means 600% of 25)

Answer:

A, C, E

Step-by-step explanation:

Answer:

z = 42

Step-by-step explanation:

The question can be answered in 2 steps as follows:

Step 1: Calculation of the constant of the variation

The equation for the joint variation can be given as follows:

z = cxy ................... (1)

Where;

z = 60

c = constant = ?

x = 5

y = 6

Substituting the values into equation (1) and solve c, we have:

60 = c * 5 * 6

60 = c * 30

c = 60 / 30

c = 2

Step 2: find z when x = 7 and y = 3

Since from Step 1 c = 2, we now use equation (1) and substitute the values into it to find z as follows:

z = 2 * 7 * 3

z = 42

Answer:

60 divided by 8

Step-by-step explanation:

60 divided by 8

Hello!

[tex]\boxed{ \bf d.~0.75g~+~6~≤~30}[/tex]

The variable “g“ represents games, so the coefficient in front of it CANNOT be 6 (since $6 is the cost of the admission and you only have to pay it once).

This automatically eliminates options A and B.

We are now left with C and D.

Since the questions asks for the possible number of games played with $30, we cannot go above it. Therefore, this eliminates option C because that sign is basically telling us that the cost of the admission fee ($6) + the number of games is either greater than or equal to $30. We need it to be LESS than or EQUAL to $30.

Answer:

120

Step-by-step explanation:

370m - (65 x 2) = 240

240 divided by 2 = 120

Answer: 12≠6

False

Step-by-step explanation:

Answer:

D.

Step-by-step explanation:

3x + 4 is another way of writing 2 + 3x + 2, if you add the 2's together you get a four (3x + 4).

Answer:

77.5 or 76

Step-by-step explanation:

You add all the sides together, since 7.75 is at the bottom, it'd also be at the top.

Answer:

y = (x – 6) / -3 = [2 – x/3]

Step-by-step explanation:

y = f(x) = -3x + 6

f⁻¹(x) → x = -3y + 6 → (x – 6) / -3 → x / -3 + -6/-3 → -x / 3 + 2 → 2 – x/3