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3 years ago

Tracy deposited $59 into a bank account that earned 3.5% simple interest each year.

Mathematics

1 answer:

AnnyKZ [126]3 years ago

6 0

Answer:

Step-by-step explanation:

1) Tracy:

P =$ 59 ; r =3.5% ; T = 12 years

SI = PrT/100

= 59 * 3.5 * 12 /100

= $24.78

Amount Tracy that will be after 12 years in her account = $ 59 +$24.78

= $83.78

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3 years ago

Help me with this problem like the whole thing

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2 years ago

g A random sample of 100 students was taken. Eighty-five of the student in the sample experienced anxiety during the exam. We ar

BaLLatris [955]

Answer:

The test statistic is $z = 1.25$

Step-by-step explanation:

We are interested in determining whether or not the proportion of the student who experience anxiety during the exam is significantly more than 80%.

At the null hypothesis, we test if the proportion is 80%, that is:

$H_0: p = 0.8$

At the alternate hypothesis, we test if the proportion is more than 80%, that is:

$H_a: p > 0.8$

The test statistic is:

$z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}$

In which X is the sample mean, $\mu$ is the value tested at the null hypothesis, $\sigma$ is the standard deviation and n is the size of the sample.

80% is tested at the null hypothesis:

This means that $\mu = 0.8, \sigma = \sqrt{0.2*0.8} = 0.4$

A random sample of 100 students was taken. Eighty-five of the student in the sample experienced anxiety during the exam.

This means that $n = 100, X = \frac{85}{100} = 0.85$

The test statistic is

$z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}$

$z = \frac{0.85 - 0.8}{\frac{0.4}{\sqrt{10}}}$

$z = 1.25$

The test statistic is $z = 1.25$

4 0

3 years ago

What is the value of m in the equation 1/2m-3/4n when n = 8?

kirill [66]

Answer:

$-\frac{1}{32}$

Step-by-step explanation:

$n = 8\\1/2(8) - 3/4(8) = 1/16-3/32$

Multiply the numerator and denomiator of 1/16 by 2 so that the denominators are equal and we can subtract.

$\frac{1}{16} *\frac{2}{2} =\frac{2}{32}$

Then, subtract

$\frac{2}{32} -\frac{3}{32} = \frac{2-3}{32} =- \frac{1}{32}$

3 0

2 years ago

Social media is popular around the world. Statista provides estimate of the number of social media users in various countries in

amm1812

Answer:

Kindly check explanation

Step-by-step explanation:

The data table :

Use of SM _UK _China _ Russia _US _ col total

Yes ______480 __215 ___343 __640 _ 1678

No _______320 _ 285 ___357__ 360 _ 1322

Row Total__ 800 _500 __ 700_ 1000_ 3000

H0 : p1 = p2 = p3 = p4

H1 : p1 ≠ p2 ≠ p3 ≠ p4

Test statistic :

χ² = Σ(observed - Expected)² / Expected

Expected value of each cell = (Row total * column total) / N

N = grand total

Expected Values:

447.467 _279.667 _ 391.533 _ 559.333

352.533 _ 220.333 _ 308.467 _ 440.667

χ²=(2.36536+14.9527+6.01605+11.6337+3.00232 18.9793+7.63611+14.7665) = 79.352

Degree of freedom, df = (row-1)*(column-1) = (2 - 1) * (4 - 1) = 1 * 3 = 3

Using the Pvalue from Chisquare calculator :

Pvalue(79.352, 3) = 0.00000000001

Decision region :

Reject H0 ; If Pvalue < α

α = 0.05

Since 0.000000001 < 0.05 ; Reject H0 and conclude that not all population proportion are equal.

Sample proportion :

Phat = number of yes, x / total

For UK, Phat = 480/800 = 0.6

For China , Phat = 215/500 = 0.43

For Russia , Phat = 343/700 = 0.49

For US, Phat = 640/1000 = 0.64

7 0

3 years ago