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3 years ago

Three years ago, Jolene bought $625 worth of stock in a software company. Since then the value of her

Mathematics

1 answer:

Lesechka [4]3 years ago

8 0

Answer:

The stock is worth 765.65 today.

Step-by-step explanation:

$$625*1.07^{3}$ =765.65

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Past experience has indicated that the breaking strength of yarn used in manufacturing drapery material is normally distributed

vlabodo [156]

Answer:

95% two-sided confidence interval on the true mean breaking strength is (94.8cm, 99.2cm)

Step-by-step explanation:

Our sample size is 11.

The first step to solve this problem is finding our degrees of freedom, that is, the sample size subtracted by 1. So

$df = 11-1 = 10$ .

Then, we need to subtract one by the confidence level $\alpha$ and divide by 2. So:

$\frac{1-0.95}{2} = \frac{0.05}{2} = 0.025$

Now, we need our answers from both steps above to find a value T in the t-distribution table. So, with 10 and 0.025 in the two-sided t-distribution table, we have $T = 1.812$

Now, we find the standard deviation of the sample. This is the division of the standard deviation by the square root of the sample size. So

$s = \frac{4}{\sqrt{11}} = 1.2060$

Now, we multiply T and s

$M = Ts = 1.812*1.2060 = 2.19/tex]For the lower end of the interval, we subtract the sample mean by M. So the lower end of the interval here is[tex]L = 97 - 2.19 = 94.81 = 94.8$ cm

For the upper end of the interval, we add the sample mean and M. So the upper end of the interval here is

$L = 97 + 2.19 = 99.19 = 99.2$ cm

95% two-sided confidence interval on the true mean breaking strength is (94.8cm, 99.2cm).

7 0

3 years ago

You deposit $4300 in an account that earns 2% per year simple interest. The equation that represents this situation is: A(n) = 4

Likurg_2 [28]

Answer: $4902

Step-by-step explanation:

Amount = P (1 + rt)

= 4300 (1 + .02 * 7)

= 4300 (1 + .14)

= 4300 (1.14)

= 4902

3 0

3 years ago

Which equation requires the division property of equality to be solved?

Ymorist [56]

Answer:

A. 201.6 = 11.2f

Step-by-step explanation:

we solve for each unknown to verify which equality will require the division property:

#A. 201.6 = 11.2f

$201.6=11.2f\\\\f=\frac{201.6}{11.2}=201.6\div 11.2\\\\=18$

Hence, division property used.

#B. 35.4=Z ÷ 3.1

$35.4=Z\div 3.1\\\\35.4=\frac{Z}{3.1}\\\\Z=35.4\times 3.1\\\\=109.74$

Hence, multiplication property used.

#C. t/3.2=15.1

$\frac{t}{3.2}=15.1\\\\t=15.1\times 3.2\\\\=48.32$

Hence, multiplication property used.

#D. 201.6 = 11.2+c

$201.6=11.2+c\\\\201.6-11.2=c\\\\c=190.4$

Hence, subtractionproperty used.

5 0

3 years ago

Read 2 more answers

In the figure, AA′ = 33 m and BC = 7.5 m. The span is divided into six equal parts at E, G, C, I, and K. Find the length of A′B.

Umnica [9.8K]

The correct answer for the question that is being presented above is this one: "18.12."
The image of this triangle is an isosceles triangle<span> with the base being 33 m (from angle A to angle A') and the right leg is 7.5 m long (BC) the span or width of the triangle is divided by 6 vertical lines with equal distances from each other. so we need to find the length of the left leg AB.</span>

4 0

3 years ago

Find the surface area of the following prism.

Lynna [10]

Answer: 350 square inches

The surface area formula of a trapezoidal prism is h (b + d) + l (a + b + c + d)

4(9+7) + 11 (5+7+9 +5)

--> 350

3 0

2 years ago