PLEASE HELP : Which of these investments may be long term? Check all that apply.

Give 5 numbers smaller than -2 and 5 numbers bigger than -2

Effectus [21]

Smaller: -3, -4, -5, -6, -7.
bigger: -1, 0, 1, 2, 3

6 0

2 years ago

The College Board reported the following mean scores for the three parts of the Scholastic Aptitude Test (SAT) (The World Almana

storchak [24]

Answer:

a) $P(492$

And we can use excel or the normal standard table to find this probability:

$P(-0.949 < Z< 0.949)= P(Z$

b) $P(505$

And we can use excel or the normal standard table to find this probability:

$P(-0.949 < Z< 1.898)= P(Z$

c) $P(484$

And we can use excel or the normal standard table to find this probability:

$P(-1 < Z< 1)= P(Z$

Explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".

Part a

Let X the random variable that represent the scores for critical reading of a population, and for this case we know the distribution for X is given by:

$X \sim N(502,100)$

Where $\mu=502$ and $\sigma=100$

We select a sample of size n=90, since the distribution for X is normal then the distribution for the sample size is also normal

$\bar X \sim N(\mu, \frac{\sigma}{\sqrt{n}}=\frac{100}{\sqrt{90}}=10.54)$

And for this case we want this probability:

$P(502-10 < \bar X < 502+10)$

And for this case we can use the z score given by:

$z= \frac{\bar X -\mu}{\sigma_{\bar x}}$

And if we use this formula we got:

$P(492$

And we can use excel or the normal standard table to find this probability:

$P(-0.949 < Z< 0.949)= P(Z$

Part b

Let X the random variable that represent the scores for Math of a population, and for this case we know the distribution for X is given by:

$X \sim N(515,100)$

Where $\mu=515$ and $\sigma=100$

We select a sample of size n=90, since the distribution for X is normal then the distribution for the sample size is also normal

$\bar X \sim N(\mu, \frac{\sigma}{\sqrt{n}}=\frac{100}{\sqrt{90}}=10.54)$

And for this case we want this probability:

$P(515-10 < \bar X < 515+10)$

And for this case we can use the z score given by:

$z= \frac{\bar X -\mu}{\sigma_{\bar x}}$

And if we use this formula we got:

$P(505$

And we can use excel or the normal standard table to find this probability:

$P(-0.949 < Z< 1.898)= P(Z$

Part c

Let X the random variable that represent the scores for Writing of a population, and for this case we know the distribution for X is given by:

$X \sim N(494,100)$

Where $\mu=494$ and $\sigma=100$

We select a sample of size n=100, since the distribution for X is normal then the distribution for the sample size is also normal

$\bar X \sim N(\mu, \frac{\sigma}{\sqrt{n}}=\frac{100}{\sqrt{100}}=10)$

And for this case we want this probability:

$P(494-10 < \bar X < 494+10)$

And for this case we can use the z score given by:

$z= \frac{\bar X -\mu}{\sigma_{\bar x}}$

And if we use this formula we got:

$P(484$

And we can use excel or the normal standard table to find this probability:

$P(-1 < Z< 1)= P(Z$

3 0

2 years ago

A. calculate the annual cash flows (annuity payments) from a fixed-payment annuity if the present value of the 15-year annuity i

Leokris [45]

<span>The first step is to multiply the present value by the interest rate. Since the present value is $1.6 million and the interest rate is 10%, this yields. $160,000. This product is then divided by 1 - (1 + the rate)^-term. So it is divided by 1 - (1.1)^-15. That is, the annual payment = $160,000/[1 - 1.1^-15] = $160,000/.760607951= $210,358.04</span>

3 0

2 years ago

Variable costs as a percentage of sales for lemon inc. are 80%, current sales are $600,000, and fixed costs are $130,000. How mu

GREYUIT [131]

When sales increase by $40,000, operating income will change by $-12,000.

<h3>By how much would operating income change?</h3>

The net operating income is total revenue less direct and indirect expenses. Direct expense is variable cost and indirect expenses are fixed costs.

Operating income = total revenue - variable expenses - fixed costs

Initial operating income: 600,0000 - (0.8 x 600,000) - 130,000 = -10,000

New operating income: (600,000 + 40,000) - [0.8 x (600,000 + 40,000)] - 130,000 = 2,0000

Change in operating income: -10,000 - 2,000 = $-12,000

To learn more about operating income, please check: brainly.com/question/26848906

#SPJ1

6 0

1 year ago

Quilcene Oysteria farms and sells oysters in the Pacific Northwest. The company harvested and sold 7,200 pounds of oysters in Au

Ainat [17]

Answer:

Quilcene Oysteria

Computation of revenue and spending variances for August:

Flexible Actual Variance

For the Month Ended August 31

Actual pounds (q) 7,200 7,200 None

Revenue ($4.20q) $30,240 27,200 $3,040 U

Expenses:

Packing supplies ($0.35q) 2,520 2,690 -170 U

Oyster bed maintenance ($3,300) 3,300 3,160 140 F

Wages and salaries ($2,000 + $0.35q) 4,520 4,930 -410 U

Shipping ($0.65q) 4,680 4,410 270 F

Utilities ($1,290) 1,290 1,100 190 F

Other ($460 + $0.01q) 532 1,152 -620 U

Total expense 16,842 17,442 -600 U

Net operating income $13,398 $9,758 -3,640 U

Explanation:

Quilcene Oysteria 's budget comparison with actual performance shows that there is an unfavorable variance of $3,640 arising from the less than impressive sales revenue and excessive spending incurred during August. The firm realized less revenue than budgeted and incurred more expenses than budgeted. The result is this unfavorable variance of $3,640.

7 0

2 years ago