With Ha H 190 you obtain a test statistic of z= 1.592. Find the p-value accurate to 4 decimal places. p-value= Submit Question 4

The interest she earn in 7years is £287

Compound interest is the interest you earn on interest. This can be illustrated by using basic math: if you have $100 and it earns 5% interest each year, you'll have $105 at the end of the first year. At the end of the second year, you'll have $110.25.

The total amount to earn after a specified time if compound interest is :

A = P( 1+r/100)^t

where P is the principal, r is the rate and t is the time

A= 700( 1+ 5/100)⁷

A = 700( 1+0.05)⁷

A = 700(1.05)⁷

A= 700× 1.41

A = £ 987

interest =Amount - Principal

I = 987-700

I = £287

Therefore the interest she will earn in 7years is £287

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Step-by-step explanation:

I think you are clear. You can follow me to get more answers. Thanks.

Therefore, the compound interest of the annuity due of BD 400 paid each 4 months for 6.2 years at a nominal rate of 3% per annum is BD 40,652.17.

Compound interest of an annuity due can be calculated using the formula:A = R * [(1 + i)ⁿ - 1] / i * (1 + i)

whereA = future value of the annuity dueR = regular paymenti = interest raten = number of payments First, we need to calculate the effective rate of interest per period since the nominal rate is given per annum. The effective rate of interest per period is calculated as

:(1 + i/n)^n - 1 = 3/1003/100 = (1 + i/4)^4 - 1

(1 + i/4)^4 = 1.0075i/4 = (1.0075)^(1/4) - 1i = 0.0303So,

the effective rate of interest per 4 months is 3.03%.Next, we can substitute the given values in the formula:

A = BD 400 * [(1 + 0.0303)^(6.2 * 3) - 1] / 0.0303 * (1 + 0.0303)A = BD 400 * [4.227 - 1] / 0.0303 * 1.0303A = BD 400 * 101.63A = BD 40,652.17

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Given the equation of the function f(x)

We will divide f(x) by the factor (x-2)

We can use the long division or the synthetic division

We will use the long division as shown in the following figure:

So, the answer will be as follows:

Answer:

Heres the general Idea i Got

Step-by-step explanation:

You can Connect the various shapes into traingles and rectangles . for ex : from -8 to 4 you can form a traingle. and then from B to G you can form a rectangle, From G to H by moving straight along G you can make another traingle and so on You can use your imagination to figure the total area by adding up those small figures you just made !

Case 1: Carter needs a fence with a length of 78.724 yards.

Case 2: Carter needs a grass sod with an area of 178 square yards.

In this problem we find the representation of a backyard, which is a combinations of areas of triangles and rectangles, whose formulas are introduced below:

Rectangle

A = b · h

Triangle

A = 0.5 · b · h

Where:

The perimeter of the backyard is the sum of its sides, where oblique sides are determined by Pythagorean theorem. Now we proceed to compute for each each case:

Case 1 - Carter needs the length of the fence.

p = 8 yd + √[(10 yd)² + (6 yd)²] + 6 yd + 4 yd + 4 yd + 6 yd + 6 yd + √[(7 yd)² + (4 yd)²] + 18 yd + 7 yd

p = 78.724 yd

Case 2 - Carter needs the area of the grass sod.

A = 0.5 · (10 yd) · (6 yd) + (7 yd) · (8 yd) + (13 yd) · (6 yd) + 0.5 · (7 yd) · (4 yd)

A = 178 yd²

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Answer:

The answer is -285

Step-by-step explanation:

The number of ways to award the prizes is 5,527,2000

Permutations:  

Permutations are the number of different ways of arranging objects in a definite order. The symbol ⁿPₓ is used to denote the number of permutations of n objects, taken x objects at a time.

Here we have,

Fifty tickets numbered 1, 2, 3,  ... 50 are sold to 50 different people for drawing  

Five prizes are awarded including the grand prize (a trip to the FIFA world soccer championship with two seats )  

No person can get more than one prize

As we know Number of permutations of n things taking m at

a time is given by ⁿPₓ = n!/(n-x)!  

The number of ways of choosing 4 prizes from 50 different people

=>  ⁵⁰P₄ = 50!/(50-4)!  

= 50 × 49× 48× 47× 46! /46!

= 50 × 49× 48× 47 = 5,527,2000      

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Answer:

The diameter is two times the radius, or 2r. The radius of this circle is 7 inches, so the diameter is 2(7) = 14 inches. The diameter is 14 inches.

Step-by-step explanation:

Answer:

122.5 cm²

Step-by-step explanation:

the area of shaded region =

(14×10) - (7 × 2.5)

= 140 - 17.5

= 122.5 cm²

Answer:

points for points .....

The x -axis could be labeled from 0 to 12 with a scale of 1 , and the y -axis could be labeled from 0 to 200 with a scale of 10 .

Given that:

A beekeeper collects an average of 10 gallons of honey each month throughout the year

Where x represents the number of months since the year began, and y represents the amount of honey collected, in gallons

Since the x-axis represents the months and we have 12 months in a year. Thus, the x-axis could be labeled from 0 to 12 with a scale of 1

Since the y-axis represents the amount of honey collected, in gallons and the beekeeper collects an average of 10 gallons of honey each month. Thus, the y-axis could be labeled from 0 to 200 with a scale of 10.

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Answer:

The second option

Step-by-step explanation:

If you look at the graph, it appears that from negative infinity to 0, the line is just constant, so the range of that would simply be the constant value or in this case 4. from 0 to infinity it appears the line is decreasing at a constant rate and should go towards negative infinity as x goes towards infinity. So the range would be -infinity < f(x) <= 4

The given probability of having six girls in a six-child family is 0.015625. To determine the method used to compute this probability, we need to analyze the information provided.

The Classical method is based on theoretical assumptions and probabilities calculated using mathematical principles. It assumes equally likely outcomes and relies on counting favorable outcomes over the total number of possible outcomes.

The Empirical method involves gathering data from observations or experiments to estimate probabilities. It relies on observed frequencies and relative frequencies to compute probabilities. However, the given probability does not suggest a sample or data collection, making it unlikely that the Empirical method was used.

The Subjective method involves assigning probabilities based on personal judgment or opinions. Individuals subjectively evaluate the likelihood of an event based on their own beliefs or knowledge.

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Answer:

\( \frac{25}{12} \)

Step-by-step explanation:

1) Use this rule: a ÷ b/c = a × c/b.

\( \frac{25}{4} \times \frac{1}{3} \)

2) Use this rule: a/b × c/d = ac/bd.

\( \frac{25 \times 1}{4 \times 3} \)

3) Simplify 25 × 1 to 25.

\( \frac{25}{3 \times 4} \)

4) Simplify 3 × 4 to 12.

\( \frac{25}{12} \)

Therefor, the answer is 25/12 and in decimal form it would be, 2.083333.

Answer: look at the picture

Step-by-step explanation: Hope this help

Answer:6 loads

Step-by-step explanation:

750

1500

2250

3000

3750

4500=2.5 tons, the answer is 6 loads

The payloader needs to dump 6 loads of gravel in the truck before it is full.

Option A is the correct answer.

We have,

Given that the dump truck can hold 2 tons of gravel, we can convert this to pounds:

1 ton = 2000 pounds

2 tons = 2 * 2000 pounds = 4000 pounds

Now, we divide the total capacity of the truck (4000 pounds) by the amount of gravel loaded by the payloader at one time (750 pounds):

4000 pounds / 750 pounds = 5.3333...

Since we cannot have a fraction of a load, we round up to the nearest whole number.

So,

The payloader needs to dump 6 loads of gravel in the truck before it is full.

Thus,

The payloader needs to dump 6 loads of gravel in the truck before it is full.

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In a normal standard curve, approximately 68% of scores fall within 1 standard deviation (in both directions) from the mean.

The normal standard curve, also known as the bell curve or Gaussian distribution, is a symmetrical probability distribution that is characterized by its mean and standard deviation.

The mean represents the average value of the data, while the standard deviation measures the dispersion or spread of the data points around the mean.

According to the empirical rule, approximately 68% of the data falls within 1 standard deviation of the mean.

This means that if we take a large sample from a population that follows a normal distribution, about 68% of the sample scores will be within one standard deviation above or below the mean.

The remaining 32% of the data is divided into two equal parts: approximately 16% falls below one standard deviation below the mean, and the other 16% falls above one standard deviation above the mean. This illustrates that the normal distribution is symmetric and balanced around the mean.

It is important to note that the percentage of scores falling within a specific range may vary slightly depending on the precise shape of the distribution, but the 68% figure is a widely used approximation that holds true for most normal distributions.

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Answer:

12×3=36

Step-by-step explanation:

hope ththis helped :))

Stratified Random Sampling is used when dividing a population into subgroups so that a random sample from each subgroup can be collected. (option 3)

Stratified Random Sampling is a type of probability sampling where the population is divided into subgroups (or strata) based on some important characteristic. The purpose of stratifying the population is to ensure that each subgroup is represented in the sample, so that the results of the study can be more accurately generalized to the larger population.

After dividing the population into strata, a random sample is selected from each stratum. This approach is used when there is heterogeneity within the population and it is important to ensure that each subgroup is adequately represented in the sample. This method can result in a more precise estimate of population parameters compared to simple random sampling, as it ensures that each subgroup is proportionately represented in the sample.

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Complete Question:

when dividing a population into subgroups so that a random sample from each subgroup can be collected, what type of sampling is used?

The cash flow identity is a useful tool for understanding the financial health of a company.

Cash flow from assets = Net income + Depreciation - Increase in net working capital - Capital expenditures

Net income = Sales revenue - Cost of goods sold - Selling, general, and administrative expenses - Depreciation

Using the data from the financial statements, we can calculate the cash flow from assets as follows:

Cash flow from assets = $238,900 + $46,200 - $1,900 - $120,000 = $102,100

Cash flow to creditors = $17,800 - $4,900 = $12,900

Cash flow to owners = $0 + $82,200 = $82,200

Cash flow from assets = Cash flow to creditors + Cash flow to owners

$102,100 = $12,900 + $82,200

The cash flow identity is verified.

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During a flame test, a lithium salt produces a characteristic red flame. This red color is produced when electrons in excited lithium atoms: C. return to lower energy states within the atoms.

This is option C

When a lithium salt is heated, the energy absorbed by the electrons causes them to move to higher energy states. However, these excited electrons are unstable and quickly return to their original lower energy states. As they do so, they release the excess energy in the form of light. In the case of lithium, this light appears as a red flame.

When atoms or ions are heated, their electrons can absorb energy and move to higher energy levels. However, these higher energy levels are not stable, and the electrons eventually return to their original energy levels.

As they return, they release the excess energy in the form of photons of light. Each element has a unique arrangement of electrons, and therefore, each element emits a characteristic set of wavelengths of light when heated. In the case of lithium, when its salt is heated during a flame test, the electrons in the excited lithium atoms gain energy and move to higher energy levels

So, the correct answer is C

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Answer:

consecutive interior angles

Answer:

I think the answer would be Consecutive Interior Angles/Transversal

Step-by-step explanation:

When two lines are cut by a transversal, the pair of angles on one side of the transversal and inside the two lines are called the consecutive interior angles.

When two lines are crossed by another line (which is called the Transversal), the pairs of angles:

• on one side of the transversal

• but inside the two lines

are called Consecutive Interior Angles.

When the two lines are parallel, any pair of Consecutive Interior Angles add to 180 degrees.

Hope this helps!

The probability of getting a 2 or an odd number when tossing a fair 7-sided die is 4/7, which can be expressed as a fraction.

A fair 7-sided die has the numbers 1, 2, 3, 4, 5, 6, and 7 on its faces. To find the probability of getting a 2 or an odd number, we need to determine the favorable outcomes and divide it by the total number of possible outcomes.

The favorable outcomes are the numbers 2, 1, 3, 5, and 7, as these are either 2 or odd numbers. There are a total of 5 favorable outcomes.

The total number of possible outcomes is 7, as there are 7 faces on the die.

Therefore, the probability of getting a 2 or an odd number is given by the ratio of favorable outcomes to total outcomes:

Probability = Favorable outcomes / Total outcomes = 5 / 7

This probability can be left as a fraction, 5/7, or if required, it can be approximated as a decimal to three decimal places, which would be 0.714.

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Complete question:

A fair 7-sided die is tossed. Find P(2 or an odd number). That is, find the probability that the result is a 2 or an odd number. You may enter your answer as a fraction, or as a decimal rounded to 3 places after the decimal point, if necessary.

Answer:

7%

Step-by-step explanation:

The additional tax is $0.42, we just have to find how much percent the tax ($0.42) is of the original cost ($6.00).

To do this, we can use the following formula:

\(\frac{x}{y} = \frac{p}{100}\)

Where x is the part (in this case, the tax ($0.42)), y is the whole (in this case, the original cost ($6.00)), and p being the percent (the tax rate in this case). We can replace the values in:

\(\frac{0.42}{6} = \frac{p}{y}\)

We can cross multiply and simplify to find the tax rate:

\(0.42y=600\\ y=\frac{600}{0.42} \\ y=0.07\)

We're not done yet! We still need to turn it to percent. But we can do this by just multiplying our result by 100:

\(0.07 * 100=7\)

Place the percent sign and we are done.

Hope this helps.

The trigonometric relations from the triangles are

a) tan A = 5/12

b) sin C = 3/5

c) cos X = 3/5

d) sin Z = 4/5

e) tan Z = 4/3

f) tan X = 12/5

What are trigonometric relations?

Trigonometry is the study of the relationships between the angles and the lengths of the sides of triangles

The six trigonometric functions are sin , cos , tan , cosec , sec and cot

Let the angle be θ , such that

sin θ = opposite / hypotenuse

cos θ = adjacent / hypotenuse

tan θ = opposite / adjacent

tan θ = sin θ / cos θ

cosec θ = 1/sin θ

sec θ = 1/cos θ

cot θ = 1/tan θ

Given data ,

a)

The triangle is ΔABC

tan A = opposite side / adjacent side

Substituting the values in the equation , we get

tan A = 10/24

tan A = 5/12

b)

The triangle is ΔABC

sin C = opposite side / hypotenuse

Substituting the values in the equation , we get

sin C = 24/40

sin C = 3/5

c)

The triangle is ΔXYZ

cos X = adjacent side / hypotenuse

Substituting the values in the equation , we get

cos X =21/35

cos X = 3/5

d)

The triangle is ΔXYZ

sin Z = opposite side / hypotenuse

Substituting the values in the equation , we get

sin Z = 32/40

sin Z = 4/5

e)

The triangle is ΔXYZ

tan Z = opposite side / adjacent side

Substituting the values in the equation , we get

tan Z = 28/21

tan Z = 4/3

f)

The triangle is ΔXYZ

tan X = opposite side / adjacent side

Substituting the values in the equation , we get

tan X = 12/5

Hence , the trigonometric relations are solved from the triangles

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The value of BA = 11.2

Here we use the condition CB/BA = DE/EF to determine the Length of BA

Substitute the lengthS of each side as per the given figure and solve the condition for the Length of the side BA.

Given that CB/BA = DE/EF

From the given figure,

CB = 7, DE = 5, and EF = 8  

Substitute the above values in the given condition

=> 7 /BA = 5 /8

Do cross multiplication

=> BA(5) = 7(8)

=> 5BA = 56

=> BA = 11.2

Therefore,

The value of BA = 11.2    

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The growth rate is 19.2% (rounded to the nearest tenth of a percent).

To find the growth rate, we can use the formula P_(t)=P_(0)(1+r)^(t), where P_(0) is the initial population, P_(t) is the population after time t, and r is the growth rate.

We know that the initial population is 250 and the population after 4 hours is 724. Substituting these values into the formula, we get:

724 = 250(1+r)^(4)

Dividing both sides by 250, we get:

2.896 = (1+r)^(4)

Taking the fourth root of both sides, we get:

1.192 = 1+r

Subtracting 1 from both sides, we get:

r = 0.192 or 19.2%

Therefore, the value obtained is 19.2% which is the growth rate.

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No, ΔABC cannot be congruent to ΔADC by the Side-Side-Side (SSS) congruence criterion. The only way for the triangles to be congruent by SSS is if AB is congruent to DC. Therefore, the correct answer is "no, because AB is not congruent to AC."

The Side-Side-Side (SSS) congruence criterion states that if the three sides of one triangle are congruent to the corresponding sides of another triangle, then the triangles are congruent. In this case, to determine if ΔABC is congruent to ΔADC by SSS, we need to compare the corresponding sides of the triangles.

The given choices suggest that AB is not congruent to AC, which violates the SSS criterion. For ΔABC and ΔADC to be congruent by SSS, all three sides of ΔABC would need to be congruent to the corresponding sides of ΔADC, which includes AB being congruent to DC. Since this condition is not met, we can conclude that ΔABC cannot be congruent to ΔADC by SSS.

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Answer:

5

Step-by-step explanation:

\( \textsf{ Hey\: there!}\)

\(\mathsf{21 - (3 + 5 + 8) = 21 - 16}\)

\(\mathsf{3 + 5 + 8)} \\ \mathsf{3 + 5 = 8} \\ \mathsf{(8 + 8) = 16}\)

\(\mathsf{21 - 16 = 21 - 16}\)

\(\mathsf{21 - 16 = 5} \\ \mathsf{21 - 16 = 5} \\ \\ \\ \mathsf{5 = 5}\checkmark\)

\(\mathsf{Good \: luck \: on \: your \: assignment \: and \: enjoy \: your \: day!}\)

~

\(\frak{LoveYourselfFirst:)}\)

Answer:

No. of Permutations=3360.

Step-by-step explanation:

\(watch.some.anime\)

The number of distinct permutations that can be formed using the letters of the word believable is 15,1200.

A permutation is the number of different ways a set can be organized; order matters in permutations, but not in combinations.

It is given that:

The word is:

"believable"

Total number of letters = 10

b repeated two(2) times

e repeated three(3) times

l repeated two(2) times

No. of Permutations = 10!/(2!3!2!)

No. of Permutations = 15,1200

Thus, the number of distinct permutations that can be formed using the letters of the word believable is 15,1200.

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