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3 years ago

Three fractions equivalent to 1/3

Mathematics

2 answers:

Ivahew [28]3 years ago

7 0

1/3 is same as 3/9 and 2/6

ser-zykov [4K]3 years ago

3 0

2/6, 3/9, and 4/12

You multiply the top and bottom by random numbers

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A tractor costs $20000 and depreciates in value by 15% per year. how much will the tractor be worth after 5 years?

Brut [27]

Answer:

$ 8874.11 after 5 years

Step-by-step explanation:

Each year it is worth 85 % of its value

20 000 ( .85)^5 = 8874.11

7 0

1 year ago

WILL GIVE BRAINLIEST Mr. and Mrs. Bailey hope to send their son to college in eleven years. How much money should they invest no

Ronch [10]

Mr. and Mrs. Bailey need to invest $2906.50 so as to send their son to college.

<h3>Compound interest</h3>

Compound interest is given by:

$A=P(1+\frac{r}{n})^{nt}$

where A is the amount after t years, P is initial amount, r is the rate and n is the times compounded per period

Given that n = 1, r = 9% = 0.09, A = $7500 t = 11. Hence:

$7500=P(1+\frac{0.09}{1} )^{1*11}\\\\P=\$2906.50$

Mr. and Mrs. Bailey need to invest $2906.50 so as to send their son to college.

Find out more on Compound interest at: brainly.com/question/24924853

7 0

2 years ago

Determine if the triangles in the figure are congruent

valkas [14]

Answer:

The triangles are congruent by Angle Side Angle congruency statement and the reason is below.

Step-by-step explanation:

Given:

∠ VUW ≅ ∠ XYW

VW ≅ YW

To Prove:

Δ VUW ≅ Δ XYW

Proof:

In Δ VUW and Δ XYW

∠ VUW ≅ ∠ XYW ……….{Given}

VW ≅ YW ............{Given}

∠ VWU ≅ ∠ XWY …………..{Vertically Opposite Angles are equal}

Δ VUW ≅ Δ XYW .….{ By Angle-Side-Angle congruence test}

......Proved

6 0

2 years ago

Please answer and use statement reason

masha68 [24]

Answer:

x = 15

Step-by-step explanation:

FD and AC are parallel because both are perpendicular to EB. Angle EDF and Angle DCA are congruent because they are corresponding angles. The measure of Angle DCA is also 3x because congruent angles have the same measure.

Now consider Triangle ACD. Because the sum of all three measures of the angles in a triangle add up to 180°.

x + 8x + 3x = 180°

12x = 180°

12x/12 = 180/12

x = 15

8 0

2 years ago

Suppose a random sample of 200 Americans is asked to disclose whether they can order a meal in a foreign language. Describe the

taurus [48]

Answer:

The distribution of sample proportion Americans who can order a meal in a foreign language is,

$\hat p\sim N(p,\ \sqrt{\frac{p(1-p)}{n}})$

Step-by-step explanation:

According to the Central limit theorem, if from an unknown population large samples of sizes <em>n</em> > 30, are selected and the sample proportion for each sample is computed then the sampling distribution of sample proportion follows a Normal distribution.

The mean of this sampling distribution of sample proportion is:

$\mu_{\hat p}=p$

The standard deviation of this sampling distribution of sample proportion is:

$\sigma_{\hat p}=\sqrt{\frac{p(1-p)}{n}}$

The sample size of Americans selected to disclose whether they can order a meal in a foreign language is, <em>n</em> = 200.

The sample selected is quite large.

The Central limit theorem can be applied to approximate the distribution of sample proportion.

The distribution of sample proportion is,

$\hat p\sim N(p,\ \sqrt{\frac{p(1-p)}{n}})$

3 0

3 years ago