Solve the problem below and show your work

Answer:

Three different ways (to : / )

Step-by-step explanation:

Examples:

3 to 5

3:5

3/5

To solve this problem, we have to use the following proportion

Where z represents 200% of the number

Answer:

The 90% confidence interval is   \( 87.95   <  \mu < 92.05  \)

Step-by-step explanation:

From the question we are told that

   The sample size is  \(n = 28\)

    The  sample mean is  \(\= x = 90\)

    The standard deviation is  \(s= 60\)

Generally given that the sample size is not large enough i.e  n <  28 then we will make use of the t distribution table  

Generally the degree of freedom is mathematically represented as

         \(df = n- 1\)    

=>      \(df = 28 - 1\)  

=>      \(df = 2 7\)

From the question we are told the confidence level is  95% , hence the level of significance is    

      \(\alpha = (100 - 95 ) \%\)

=>   \(\alpha = 0.10\)

Generally from the student t  distribution table the critical value  of  \(\frac{\alpha }{2}\) at a degree of freedom of \(df = 2 7\)  is  

   \(t_{\frac{\alpha }{2} , 27  } =  2.052\)

Generally 95% confidence interval is mathematically represented as  

      \(\= x -E <  \mu <  \=x  +E\)

=> \(90  - 2.052  <  \mu < 90  + 2.052  \)

=> \( 87.95   <  \mu < 92.05  \)

Answer:

The probability is 2,010,580/13,378,456

Step-by-step explanation:

Here is a combination problem.

We want to 7 cards from a total of 52.

The number of ways to do this is 52C7 ways.

Also, we know there are 12 face cards in a standard deck of cards.

So we are selecting 3 face cards from this total of 12.

So also the number of cards which are not face cards are 52-12 = 40 cards

Out of all these 40, we shall be selecting exactly 4. The number of ways to do this 40C4

Thus, the required probability will be;

(40C4 * 12C3)/52C7 = (91,390 * 220)/133,784,560

= 20,105,800/133,784,560 = 2,010,580/13,378,456

Answer: C=3(5)

The answer is C 16

A third variable associated with two variables under study that results in a correlation between the two variables, falsely implying a causal relationship between the pair, is a) a lurking variable.

A lurking variable is an uncontrolled and unknown variable but significant effect on both independent and dependent variables.

A lurking variable creates a correlation between the independent and dependent variables without being intended by the researcher.

We can differentiate a lurking variable from a confounding variable.

A confounding variable is taken into account in research and can also influence the variables of interest but it is not credited with any relationship between the independent and dependent (response) variables.

Thus, the existence of a third variable resulting in a correlation between the independent and dependent variables is called a lurking variable.

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Answer:

d = 8

Step-by-step explanation:

For:

(X1, Y1) = (-4, 5)

(X2, Y2) = (-12, 5)

Distance Equation Solution:

d=(−12−(−4))2+(5−5)2−−−−−−−−−−−−−−−−−−−−√

d=(−8)2+(0)2−−−−−−−−−−√

d=64+0−−−−−√

d=6–√4

d=8

Therefore, the distance between (-4,5), (-12,5) is 8.

Answer:

YES!

Step-by-step explanation:

ratios are like fractions, and fractions are basically division problems. SO, if you divide 4 by 6 you get .66666666, and if you divide 8 by 12 you ALSO get .66666666, soooooo yes they are equivalent!

It would take approximately 17.12 years for the amount to reach Birr 56,398.43 with a deposit of Birr 500 at the end of each six-month period, compounded semi-annually at an interest rate of 6%.

To solve this problem, we can use the formula for compound interest:

A = P(1 + r/n)^(nt)

Where:

A = Final amount

P = Principal amount (initial deposit)

r = Annual interest rate (in decimal form)

n = Number of compounding periods per year

t = Number of years

In this case, the principal amount is Birr 500, the annual interest rate is 6% (or 0.06), and the interest is compounded semi-annually, so there are 2 compounding periods per year.

We need to find the number of years (t) it takes for the amount to reach Birr 56,398.43.

Let's substitute the given values into the formula and solve for t:

56,398.43 = 500(1 + 0.06/2)^(2t)

Divide both sides by 500:

112.79686 = (1 + 0.03)^(2t)

Take the natural logarithm of both sides to eliminate the exponent:

ln(112.79686) = ln(1.03)^(2t)

Using the property of logarithms, we can bring down the exponent:

ln(112.79686) = 2t * ln(1.03)

Now, divide both sides by 2 * ln(1.03):

t = ln(112.79686) / (2 * ln(1.03))

Using a calculator, we find t ≈ 17.12.

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Answer:

I am guessing A or C.

Step-by-step explanation:

Hope this helps you :)

Answer:

x=3

Step-by-step explanation:

\(4^{x} =8^{x-1} \\(2^{2} )^{x} =(2^{3}) ^{x-1} \\2x=3x-3\\3=x\)

Answer:

( 0 , 8)

Step-by-step explanation:

The y-intercept is when the graph intersects the y axis, in other words, when x is zero. Hence substitute 0 in for x

f ( x ) = 8 \(( 0.25 )^{x}\)

f ( 0 ) = 8 \((0.25)^{0}\)

Any number to the power zero is one;

f ( 0 ) = 8 * 1

f(0) = 8

The y-intercept is 8.

The first step to solving almost any problem is to determine what the question is asking and what is given to us to help solve that problem.  Looking at the problem statement, they are asking for us to determine which option best describes the value of m in the expression provided.  The only thing that we are provided with is an expression which we need to solve for m.

Let's begin to solve the expression for m by first dividing both sides by -5.  However, since we are dividing by a negative, that means that we must flip the sign.

Divide both sides by -5

The next step that we must take is to subtract 1 from both sides but before that let's convert it into an improper fraction with a denominator of 5 so we can easily deal with it with the other fraction.

Subtract both sides by 1

We have finally came up to our final answer which would state that m is greater than or equal to negative 28 over 5.  The options that you have provided seem like the formatting has messed up but I'm sure that on your side you can see the correct answer.

For the diagram ABCD transformed to A'B'C'D', the reflection is across Option B: x-axis.

What is reflection?

A reflection is referred to as a flip in geometry. A reflection is the shape's mirror image. A line, called the line of reflection, will allow an image to reflect through it. Every point in a figure is said to reflect the other figure when they are all equally spaced apart from one another.

When a line is subjected to a transformation and is reflected across x-axis the formula for the coordinate points become -

(x,y) → (x,-y)

The coordinate points for the original diagram is given as -

A(-4,-5), B(-2,2), C(3,2), D(1,-5)

On applying the reflection across x-axis we get -

A(-4,-5) → (-4,-(-5)) → A'(-4,5)

B(-2,2) → (-2,-(2)) → B'(-2,-2)

C(3,2) → (3,-(2)) → C'(3,-2)  

D(1,-5) → (1,-(-5)) → D'(1,5)

The new image coordinate points matches the points plotted on the graph.

Therefore, the reflection is across x-axis.

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Answer:

B) x-axis

Step-by-step explanation:

the guy above is correct :), i took this quiz and got it right, hope that helps!

Answer:

7x + 2y = - 6

Step-by-step explanation:

the equation of a line in standard form is

Ax + By = C ( A is a positive integer and B, C are integers )

given

y = - \(\frac{7}{2}\) x - 3 ( multiply through by 2 to clear the fraction )

2y = - 7x - 6 ( add 7x to both sides )

7x + 2y = - 6 ← in standard form

Answer:

1/24

Step-by-step explanation:

multiply 1/9 and 3/8. The product of the two factors is 3/ 72. Seeing the two factors on the other hand, we can cancel out 3. Hence the final answer to this problem in lowest terms becomes 1/24.

Answer:

12.5

Step-by-step explanation:

Answer:

8

Step-by-step explanation:

Substitute the values in the expression, we have:

\(\displaystyle{|-1-3|+4}\)

Evaluate:

\(\displaystyle{|-4|+4}\)

Any real numbers in the absolute sign will always be evaluated as positive values. Thus:

\(\displaystyle{|-4|+4 = 4+4}\\\\\displaystyle{=8}\)

Hence, the answer is 8. A quick note that z-value is not used due to lack of z-term in the expression.

By inspection of the graph above, the point three times as far from M(4,2) is (10,5).

Doing the same for N(8,4)

The point three times as from N(8,4) is (2,1).

The evaluation of the equation is e = 2.5.

We are given that;

The function 3.6/e = 1.2

Now,

To evaluate the equation, we need to solve for e by isolating it on one side of the equation. Here are the steps to solve for e:

First, we need to multiply both sides of the equation by e to eliminate the denominator on the left side. This gives us 3.6 = 1.2e.

Next, we need to divide both sides of the equation by 1.2 to isolate e on the right side. This gives us 3/1.2 = e.

Simplifying the fraction, we get 2.5 = e.

Therefore, by the equation the answer will be e = 2.5.

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Answer:

For triangle CDE, let x be the measure of angle CED.

43° + 38° + x = 180°

81° + x = 180°

x = 99°

AEB and CED are vertical angles, so angle AEB measures 99°.

For triangle AEB, let y be the measure of angle A.

99° + 18° + y = 180°

117° + y = 180°

y = 63°

Angle A measures 63°.

Answer:

∠ A = 60°

Step-by-step explanation:

the exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.

∠ E is an exterior angle of Δ CDE , then

∠ E = ∠ C + ∠ D = 43° + 35° = 78°

∠ E is also an exterior angle of Δ ABE , then

∠ A + ∠ B = ∠ E

∠ A + 18° = 78° ( subtract 18° from both sides )

∠ A = 60°

Answer:

y-intercept is (0, -21)

Step-by-step explanation:

For y-intercept, x = 0:

\({ \sf{y + 11 = - 2(0 + 5)}} \\ { \sf{y + 11 = - 10}} \\ { \sf{y = - 21}}\)

Answer: z= -1

Step-by-step explanation: z= (62-64)/2 = -1

The expression for the magical coin for d days will be \(C = (3)^d\).

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that A magical $1 coin that triples every day. The coin turns into three coins on the first day. The three coins turn into nine coins on the second day. The nine coins tripled to 27 coins on the third day. This doubling will continue for 28 days.

The equation can be written as,

\(C = (3)^d\)

At d = 28, the value of the coin will be,

C = (3)²⁸

C = $2.28 x 10¹³

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Answer:

x =-3

Step-by-step explanation:

A hole of a simplified rarional funcrion as the one given above exists when there is a number that can make both the numerator & the denominator = 0

so plug -3 in the x of the function & you'll get 0/0 which is indeterminate & thus implies the existence of a hole

For finding the hole

make the denominator and numerator zero.

Or

-3 is common

So

The hole is at

Answer: Reflection followed by a translation

Step-by-step explanation:

     First, RST is reflected along the x-axis.

     Then, RST is translated one unit down into R'S'T' giving us what we're looking for.

Answer:

Step-by-step explanation:

321

Answer:

  b.  $154,810

Step-by-step explanation:

You want to know the price of a home that can be purchased for a monthly payment of $879.32 on a 30-year loan at 5.5%.

The given table tells you the multiplier m used to find the monthly payment p from the loan amount P for different time periods and interest rates.

  p = (P/1000)×m

The table value for a 30-year loan at 5.5% is m = 5.68. Solving the equation for P, we have ...

  1000p/m = P

  1000(879.32/5.68) = P ≈ 154,809.86 ≈ 154810

You qualify for a loan of $154,810.

__

Additional comment

The multiplier 5.68 is found on row 2 (5.5%) of column 4 (30 years).

By answering the presented question, we may conclude that As a result, equation the answer is (b) $154,810.

A mathematical equation is a formula that connects two statements and denotes equivalence with the equals symbol (=). An equation is a mathematical statement that shows the equality of two mathematical expressions in algebra. In the equation 3x + 5 = 14, for example, the equal sign separates the variables 3x + 5 and 14. A mathematical formula describes the connection between the two sentences that occur on opposite sides of a letter. The symbol and the single variable are frequently the same. As in 2x - 4 Equals 2, for instance.

To establish the purchase price of a property, we must use the monthly payment and the table supplied to determine the mortgage amount that corresponds to the monthly payment.

According to the data, the monthly payment per $1000 of mortgage for a 30-year fixed mortgage at a 5.5% interest rate is $5.68.

Hence, to calculate the mortgage amount for a $879.32 monthly payment, we may apply the following formula:

Mortgage amount = monthly payment / mortgage payment per $1000

$879.32 mortgage amount / $5.68 per $1000

Loan amount = $154,810

As a result, the purchasing price of a house is $154,810.

As a result, the answer is (b) $154,810.

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The net cash inflow from the operating activities is $82,600.

Under Statement of Cash flow, these are activities involved in the primary business operations generally the production and selling of goods and providing services are operating activities. It represents the company's major part of profitability.

Particulars                                                                      Amount

Cash Flow from Operating Activities

Net Income         $82,400

Changes in the working capital:

Increase in accounts receivable ($17200-$15900)    ($1,300)

Decrease  in inventory ($53,100-$52,400)                 $700

Increase in accounts payable ($22,100-$21,300) $800  

Net Cash inflow from operating activities                 $82,600

Missing words "Adjust net income of $82,400 for changes in operating assets and liabilities to arrive at net cash flow from operating activities."

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Answer:

56

Step-by-step explanation:

The pattern is an arithmetic sequence:

by the first three terms, the common difference is:

28-14=42-28=14

So the next pattern would be:

14+42=56

By the equation x = a + d ( n - 1 )

Substituting when n=1, x=14 and when n=2 x=28

a = 14 and d = 14

x = 14 + 14 ( n - 1 )

substituting n = 4

x = 14 + 14 ( 4 - 1 )

x = 56

28÷14=42-28=14+42=56