3/15 divided by 5/6

7 divided by 1/6

2 1/5 divided by 1 1/3

2 1/7 divided by 3/28

The cost price of the shorts is K22.50.

To find the cost price of the shorts, we need to reverse calculate the original price before the markup and taxes were applied.

Let's assume the cost price of the shorts is represented by C.

The markup of 17% is applied to the cost price, which means the selling price (including the markup) is 117% of the cost price.

117% of the cost price C can be calculated as (117/100) * C.

GST (Goods and Services Tax) is also included in the selling price. GST is typically calculated as a percentage of the selling price. In this case, the selling price of the shorts including GST is K29.25.

Since the GST is included in the selling price, we can subtract it from the selling price to obtain the selling price before GST.

Let's assume the GST rate is R% (as a decimal), then the selling price before GST can be calculated as:

Selling price before GST = Selling price - (Selling price × R)

In this case, the selling price before GST is K29.25, and the GST rate is 17% (0.17 as a decimal). Substituting these values into the equation, we have:

K29.25 = Selling price - (Selling price × 0.17)

Simplifying the equation

K29.25 = Selling price × (1 - 0.17)

K29.25 = Selling price × 0.83

Selling price = K29.25 / 0.83

Now we can substitute the selling price in terms of the cost price:

K29.25 / 0.83 = (117/100) × C

Simplifying the equation:

C = (K29.25 / 0.83) × (100/117)

Calculating the cost price C:

C = K22.50

Therefore, the cost price of the shorts is K22.50.

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Answer:

if x = -9

then, (-9)×(-9) + 3

= 81 +3

= 84

(-9) + 6

= -3

so, ans is = 84/(-3)

= (-84)/3

Answer:

The constant is that every bag costs $3.55

Step-by-step explanation:

When the bag of peanuts costs $3.55 then Constant of proportionality is 3.55

The constant of proportionality is the ratio between two directly proportional quantities

Here,

Every bag of  peanuts costs $3.55

Consider the number of bags =  x

Cost of the peanut bag = y

Therefore

y is directly proportional to x

y = kx

Where k is the constant of proportionality

k = \(\frac{y}{x}\)

if the cost of the one bag is $3.55

Then \(k=\frac{3.55}{1}\)

k=3.55

Hence, When every bag of peanuts cost constant of proportionality is 3.55

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We reject the Null Hypothesis and conclude that the individual is likely to have embezzled.

Given a Goodness of Fit test is a statistical test used to assess how likely it is that an observed data set fits a theoretical distribution, in this case Benford's Law. This test should be applied in this situation, as it can be used to determine if a data set follows the expected pattern of the theoretical distribution. The Null Hypothesis is that the observed data set follows Benford's Law, while the Alternative Hypothesis is that the observed data set does not follow Benford's Law. The P-Value for this test is 0.0116, which suggests that there is a 1.16% chance of observing a distribution this far from the expected one if the Null Hypothesis is true. Therefore, we reject the Null Hypothesis and conclude that the individual is likely to have embezzled. Based on this evidence, law enforcement officials should pursue the case further.  

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So on solving the provided question we can say that here, in triangle ABC and XYZ;  by SSS property they are similar.

A triangle is a polygon since it has three sides and three vertices. It is one of the basic geometric shapes. The name given to a triangle containing the vertices A, B, and C is Triangle ABC. A unique plane and triangle in Euclidean geometry are discovered when the three points are not collinear. Three sides and three corners define a triangle as a polygon. The triangle's corners are defined as the locations where the three sides converge. 180 degrees is the result of multiplying three triangle angles.

here,

AB = XY

AC = XZ

BC = ZY

by SSS property, they are similar.

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Answer:

See Picture. I made a 100.

Step-by-step explanation:

Weekly- $17253.46

Daily- $17254.01

Continuously- $17254.11

Monthly- $17251.29

Semi-annually- $17237.36

Quarterly- $17245.69

Compound interest is the addition of interest on the interest of the principal amount.

Compound interest is the addition of interest on the interest of the principal amount. It is given by the formula,

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

As it is given that the principal amount is $15,000; while the rate of interest is 2.8%, and the amount is invested for a period of 5 years.

A.) When the interest is charged weekly,

As we know that there are 52 weeks in a year, therefore, n = 52, substitute the values,

\(A = P(1+ \dfrac{r}{n})^{nt}\\\\A = 15000(1+ \dfrac{0.028}{52})^{52 \times 5}\\\\A = \$17,253.46\)

B.) When the interest is charged daily,

As we know that there are 365 days in a year, therefore, n = 365, substitute the values,

\(A = P(1+ \dfrac{r}{n})^{nt}\\\\A = 15000(1+ \dfrac{0.028}{365})^{365 \times 5}\\\\A = \$19,554.55\)

C.) When the interest is charged Continuously,

As we know that the formula for continuous compounding is given as,

\(A = Pe^{rt}\)

Substitute the values, we will get,

\(A = 15000 \times (e^{0.024 \times 5})\\\\A= \$16,912.45\)

D.) When the interest is charged Monthly,

As we know that there are 12 months in a year, therefore, n = 12, substitute the values,

\(A = P(1+ \dfrac{r}{n})^{nt}\\\\A = 15000(1+ \dfrac{0.028}{12})^{12\times 5}\\\\A = \$15211.23\)

E.) When the interest is charged Semi-annually,

As we know that the interest is charged Semi-annually, therefore, n = 2, substitute the values,

\(A = P(1+ \dfrac{r}{n})^{nt}\\\\A = 15000(1+ \dfrac{0.028}{2})^{2\times 5}\\\\A = \$17,237.36\)

F.) When the interest is charged Quarterly,

As we know that the interest is charged Quarterly, therefore, n = 4, substitute the values,

\(A = P(1+ \dfrac{r}{n})^{nt}\\\\A = 15000(1+ \dfrac{0.028}{4})^{4\times 5}\\\\A = \$17,245.7\)

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1.  The percent of cats between 24.16 and 35.84 is 95%

2. The percent of cats who are longer than 35.84 is 2.28 %

3. The percent of cats shorter than 24.16 inches is 2.28%

The empirical rule - formula

95% of data falls within 2 standard deviations from the mean - between μ – 2σ and μ + 2σ .

Mean, u = 30 inches

Standard Deviation, s = 2.92 inches

Formula for z-score = (x-u)/s

1. We have to find the percent of cats between 24.16 and 35.84 inches.

24.16, z-score = -2

35.84, z-score = 2

According to the empirical rule,

95% of the data values are within 2 standard deviations of the mean.

So, 95% of the cats are between 24.16 and 35.84 inches.

2. Here, x = 35.84

   z=(35.84-30)/2.92

   z= 2

According to the Empirical Rule,

95% of the values lie within 2 standard deviations of the mean.

So, the percent of cats who are longer than 35.84

100 - 97.72 = 2.28%

3. Now, x = 36.22

Using the formula mentioned above, we get:

z= 24.16-30/2.92

z=-2

According to empirical rule,

68% of the values lie within 1 standard deviation of the mean.

i.e., remaining 32% are outside the 1 standard deviation and  half of the values i.e. 16% are below 1 standard deviation.

The percent of cats shorter than 24.16 inches is 2.28%

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Given

Find z-scores for x = 24.16 and x = 35.84

Use formula

Find the corresponding percentage from z-score table

The percent of cats between 24.16 and 35.84

The percent of cats who are longer than 35.84

The percent of cats shorter than 24.16 inches

Answer:

(0,7]

Step-by-step explanation:

It is an open circle at 0 and a closed circle at 7.

Answer:

84+28w

hope this helps

have a good day :)

Step-by-step explanation:

Answer:

84+28w!

Step-by-step explanation:

just just make me brainliest

The required closing price of the toy company stock was $8.50, and the closing price of the fast food restaurant stock was $27 more, or $35.50.

Let x be the closing price of the toy company stock on that day. Then the closing price of the fast food restaurant stock was x + $27.

We know that Norman and Suzanne own 44 shares of the fast food restaurant stock and 62 shares of the toy company stock, so the total value of their fast food restaurant stock is:

\(44(x + $27) = $44x + $1188\)

Similarly, the total value of their toy company stock is:

62x

The sum of these two values should be equal to the total value of their stock portfolio, which is $2089.00:

\($44x + 1188 + 62x = 2089.00\)

Simplifying and solving for x, we get:

\($106x = 901.00\)

\(x = 8.50\)

Therefore, the closing price of the toy company stock was $8.50, and the closing price of the fast food restaurant stock was $27 more, or $35.50.

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The end behavior of the graph of f(x) = x⁵ – 8x⁴ + 16x³ does not cross the x-axis at x = 4 and crosses the x-axis at x = 0. This is about the end behavior of a graph of a function at the end of the x-axis. Also, f(x) => -∞ as x => -∞; f(x) => +∞ as x => +∞.

We are given the function;

f(x) = x⁵ - 8x⁴ + 16x³

A) As x approaches negative infinity -∞, x⁵ will also approach negative infinity -∞. This is because when we raise a negative number to the power of an odd number, the result remains negative.

B) As x approaches positive infinity +∞, x⁵ will also approach positive infinity -∞. This is because when we raise a positive number to the power of an odd number, the result remains positive.

Let's now find the roots of this function;

f(x) = x⁵ - 8x⁴ + 16x³

Let's factorize it first to get;

f(x) = x³(x² – 8x + 16)

(x² – 8x + 16) is a perfect square trinomial and can be expressed as (x – 4)(x - 4).

Thus;

f(x) = x³ (x – 4)(x - 4)

C) Since we have found the factorized form to be;

f(x) = x³ (x – 4)(x - 4)

The roots are at f(x) = 0;

The roots are; x³ = 0; (x – 4) = 0 ; (x - 4) = 0

This means the roots of f(x) are; x=0 and x=4.  x = 4

This means the graph has a repeated root and so it will touch the x-axis but not at the repeated root of x=4.

D) Since, 0 is a root and it does not cross at x = 4, the graph will cross at x = 0.

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Answer:

3

Step-by-step explanation:

21÷3=7

15÷3=5

18÷3=6

7 5 and 6 do not have a gcf except for 1.

The height of the skyscraper is D. 156.26 ft

To determine the height of the skyscraper,  we need to consider the following trigonometric identities listed thus;

From the information given, we have that;

Angle, θ = 38 degrees

The shadow casted is the adjacent side of the angle and is 200 ft

The height off the skyscraper is the opposite side

Now, using the tangent identity, we have that;

tan θ = opposite/adjacent

tan 38 = h/200

cross multiply the values, we get;

h = 200(0.7812)

Multiply the values

h = 156. 26 ft

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Answer:

5cm^3

Step-by-step explanation:

Answer: C

Step-by-step explanation:

The closed circle on the left denotes "or equal to," and the open circle on the right denotes "less than."

So, it cannot be A, B, or D because they do not have \(\leq\) on the left and < on the right.

Only C has that option.

The total number of workers that were studied can be found to be 139,340,000.

The percent of workers unemployed would be 5. 4 %.

Percentage of unemployed men is 5. 6 % and unemployed women is 5. 1%.

Number of employed workers :

= 74,624,000 + 64, 716, 000

= 139,340,000

Percentage unemployed :

= ( 4, 209,000 + 3,314,000 ) / 139,340,000

= 5. 4 %

Percentage of unemployed men :

= 4,209,000 / 74,624,000

= 5.6 %

Percentage of unemployed women:

= 3,314,000 / 64, 716, 000

= 5. 1 %

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The full question is:

a. How many workers were studied?

b. What percent of the workers were unemployed?

c. Compare the percent unemployed for the men and the women.

Answer: \(6\sqrt{6}\)

Step-by-step explanation:

\(\sqrt{12}=2\sqrt{3}\\\\\sqrt{18}=3\sqrt{2}\\\\\implies \sqrt{12} \sqrt{18}=2\sqrt{3}(3\sqrt{2}=\boxed{6\sqrt{6}}\)

The product of square root of 12 i.e.,√12 and square root of 18 i.e.,√18 is 6√6.

When two numbers has equal power then we can multiply the the numbers and the power remains same. The number in the power is called exponent and the number is called as base. In \(a^m\), \(m\) is the exponent and \(a\) is the base of the number \(a^m\).

Step-by-step explanation:

\(\sqrt{12}\)\(=\sqrt{4}\)×\(\sqrt{3}\)\(=2\)×\(\sqrt{3}\) , since the square root of 4 is 2

\(\sqrt{18}=\sqrt{2}\)×\(\sqrt{9}\)\(=\sqrt{2}\)×\(3\) , since the square root of 9 is 3

Now, \(\sqrt{12} \sqrt{18} = 2\)×\(3\)×\(\sqrt{2}\)×\(\sqrt{3}\) from above.

                       \(=6\sqrt{6}\)

Hence the product of √12 and √18  is √12√18=6√6

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Answer:

1) \(\frac{1}{8}\)

2) \(\frac{55}{100} or \frac{11}{20}\)

3) \(\frac{9}{5}\)

4) \(\frac{6}{25}\)

Answer:

c

Step-by-step explanation:

it's a property of powers, when the base is the same (-5) , you need to

sum the powers when both terms are multiplyng

subtract the powers when both terms are dividing (numerator power minus denominator power, in that order)

Answer:

40.6

Step-by-step explanation:

Use the pythagorean theorem a^2+b^2=c^2

25^2+32^2=1649

The square root of 1649 is 40.607

Answer:

D) 40.6

Step-by-step explanation:

When finding the hypotenuse, you square the two leg values (in this case, 25 and 32). Then, you add them together and find the square root of the sum. Use the Pythagorean theorem: a²+b²=c²

The ratios are;

Sin θ =  5/6

Cos θ = √11/6

Tan θ =  5√11/11

Sec  θ =  6√11/11

Cosec  θ = 6/5

Cot θ =  √11/5

These trigonometric ratios are used to relate the angles of a right triangle to the lengths of its sides

We can see that the hypotenuse is obtained from;

x =√\((10)^2 + (2\sqrt{} 11)^2\)

x = √100 + 44

x = 12

Then;

Sin θ = 10/12 = 5/6

Cos θ =  2√11/12

= √11/6

Tan θ = 10/2√11

= 20√11/44

= 5√11/11

Sec  θ =  1/Cos  θ

=  6/√11

= 6√11/11

Cosec  θ = 1/Sin

 θ = 6/5

Cot θ = 1/tan θ

= 11/ 5√11

= 55√11/275

= √11/5

Sinβ = 2√11/12

= √11/6

Cos β = 10/12

= 5/6

Tan β = 2√11/10

= √11/5

Sec β = 6/5

Cosec β = 6√11/11

Cot β = 5√11/11

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Answer:

we will fail to reject the null hypothesis and conclude that the mean pressure is not different from 4.7 psi

Step-by-step explanation:

Let's first define the hypothesis;

Null hypothesis: H0: μ = 4.7

Alternative hypothesis: Ha: μ ≠ 4.7

We have;

Sample size; n = 110

Sample mean; x¯ = 4.6

Variance: σ² = 0.64

Standard deviation; σ = √0.64 = 0.8

Formula for test statistic is;

z = (x¯ - μ)/(σ/√n)

z = (4.6 - 4.7)/(0.8/√110)

z = -0.1/0.0763

z = -1.31

From online p-value from z-score calculator attached, using; z = -1.31, two tailed hypothesis, significance value of 0.1, we have;

P-value = 0.190196

The p-value is greater than the significance value and thus we will fail to reject the null hypothesis and conclude that the mean pressure is not different from 4.7

σ μ

Answer:

what do you need to know

Step-by-step explanation:

Answer:

88

Step-by-step explanation:

16+16=32

16+16=32

32+32=64

64+16=80

80+8=88

Answer:

20 m

Step-by-step explanation: