pls help I need to find X but I’m confused idk geometry

Answer:

Step-by-step explanation:

Making x the subject of the formula;

y=x+z/a-x

Cross multiply

y(a-x) = x+z

ya - yx = x+z

Collect like terms

x+yx = ya - z

x(1+y) = ya - z

x = ya-z/1+y

Hence the value of x is ya-z/1+y

Answer:

\(\frac{ya-z}{1+y} = x\)

Step-by-step explanation:

\(y=\frac{x+z}{a-x}\)

Use cross multiplication

y ( a - x) =  x + z

Solve the brackets.

y a - y x = x + z

y a - y x - z = x

y a - z = x + y x

y a - z = x ( 1 + y )

Divide both sides by ( 1 + y ).

\(\frac{ya-z}{1+y} = x\)

The fraction of the occupied apartments is 9/10.

In mathematics, a fraction is a symbol for a rational number.

Let a and b be two numbers, then their fraction can be represented as a/b.

Given that,

Total apartments in the building = 200.

Also,

The number of apartments leased by realtor = 180

The fraction of the apartments which is occupied by realtor

= number of apartments leased /Total apartments

= 180 / 200

= 18 / 20

= 9 / 10

The required fraction is 9/10, implies that from each 10 apartments, 9 apartments are occupied.

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did you mean 5x-x/y?

if so:

5×4-4/2

=20-2

=18

Answer:

see explanation

Step-by-step explanation:

The following statements are true

The domain of f(x) is all real numbers

The range of f(x) is all real numbers

f(2) = 4

locate x = 2 on the x- axis, go vertically up to meet the line at (2, 4 ) , then

f(2) = 4

Answer:

Step-by-step explanation:

The simplest form is 78.

Answer:

x=13° & y=74°

Step-by-step explanation:

y=74°(cointerior angle r equal)

now,

y=4x+22(vertically opposite angles equal)

Answer:

x = 21

Step-by-step explanation:

The 74 angle and y angle are supplementary which means they add up to 180 degrees, so 180 - 74 = 106

Then you know that y is equal to 4x + 22

so then you just set 4x + 22 equal to 106

then you subtract 22 from both sides which leaves you the equation 4x = 84

then you divide 84/4 which equals 21

Answer:

The percentage increase for the area is greater

It is 600% greater

Step-by-step explanation:

Here, we have a square of side length 3 cm

The area of the square is L^2 = 3^2 = 9 cm^2

Perimeter of the square = 4L = 4 * 3 = 12 cm

When we triple the length of the square, its new length becomes 3 * 3 = 9 cm

Area here will be 9 * 9 = 81 cm^2

Perimeter = 4 L = 4 * 9 = 36cm

To calculate percentage change, we use the formula;

(new value - old value)/old value * 100%

For the perimeter;

(36-12)/12 * 100% = 24/12 * 100% = 2 * 100% = 200%

For the area;

(81-9)/9 * 100% = 72/9 * 100% = 8 * 100% = 800%

The percentage increase of the area is greater

How much greater? 800% - 200% = 600%

The given statement is False. A test statistic based on point estimation is not used to construct the decision rule which defines the rejection region.

In hypothesis testing, a test statistic is calculated using sample data and a specific hypothesis to assess the strength of evidence against the null hypothesis. The decision rule, which determines whether to reject or fail to reject the null hypothesis, is based on the test statistic's distribution under the null hypothesis, rather than the point estimate itself.

The construction of the decision rule involves selecting a significance level (alpha), which represents the probability of rejecting the null hypothesis when it is actually true. The rejection region is determined based on the chosen significance level and the distribution of the test statistic. If the calculated test statistic falls within the rejection region, the null hypothesis is rejected; otherwise, it is not rejected.

Point estimation, on the other hand, is used to estimate an unknown parameter of interest, such as the population mean or proportion, based on sample data. It involves calculating a single value (point estimate) that represents the best guess for the parameter value. The point estimate is not directly involved in constructing the decision rule or defining the rejection region in hypothesis testing.

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False. A test statistic based on point estimation is not used to construct the decision rule that defines the rejection region.

The process of hypothesis testing involves constructing a decision rule to determine whether to accept or reject a null hypothesis based on sample data. The decision rule is typically defined using a critical region or rejection region, which is a range of values for the test statistic.

Point estimation, on the other hand, is a method used to estimate an unknown population parameter based on sample data. It involves calculating a single value (point estimate) that serves as an estimate of the population parameter.

While point estimation and hypothesis testing are both important concepts in statistics, they serve different purposes. Point estimation is used to estimate population parameters, whereas hypothesis testing involves making decisions based on sample data.

The decision rule for hypothesis testing is typically constructed based on the significance level (alpha) and the distribution of the test statistic, such as the t-distribution or the standard normal distribution. The test statistic is calculated using sample data and compared to critical values or calculated p-values to determine whether to reject the null hypothesis.

Therefore, the statement that a test statistic based on point estimation is used to construct the decision rule defining the rejection region is false.

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Answer:88

Step-by-step explanation:

A bond with a maturity of 12 years sells for $1,093. if the coupon rate is 7.3 percent.The yield to maturity of the bond is approximately 6.2%.

The yield to maturity (YTM) of a bond is the total return anticipated by an investor if the bond is held until its maturity date. It is the internal rate of return (IRR) of the bond's cash flows, taking into account the bond's price, coupon payments, and time to maturity.

To calculate the yield to maturity, we need to find the interest rate that makes the present value of the bond's cash flows equal to its current market price. In this case, the bond has a maturity of 12 years and sells for $1,093 with a coupon rate of 7.3%.

Using financial formulas or a financial calculator, we can determine that the yield to maturity of the bond is approximately 6.2%. This means that if the bond is held until maturity and all coupon payments are reinvested at a rate of 6.2%, the investor can expect a total return equivalent to that yield.

The yield to maturity is an important metric for bond investors as it provides an estimate of the bond's overall return, taking into account both coupon payments and changes in the bond's price. It allows investors to compare the potential returns of different bonds and make informed investment decisions.

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The complete table.

x  -8   -4  0   4    8

y  28  16  4  -8  -20

We have,

y = -3x + 4

Now,

Substituting x = -8, -4, 0, 4, and 8.

y = -3 x -8 + 4 = 24 + 4 = 28

y = -3 x -4 + 4 = 12 + 4 = 16

y = -3 x 0 + 4 = 0 + 4 = 4

y = -3 x 4 + 4 = -12 + 4 = -8

y = -3 x 8 + 4 = -24 + 4 = -20

Thus,

The complete table.

x  -8   -4  0   4    8

y  28  16  4  -8  -20

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A graph shοws a prοpοrtiοnal relatiοnship if it meets the fοllοwing twο criteria Linearity and Cοnstant ratiο.

A ratiο is an οrdered pair οf numbers a and b, written a / b where b dοes nοt equal 0. A prοpοrtiοn is an equatiοn in which twο ratiοs are set equal tο each οther. Fοr example, if there is 1 bοy and 3 girls yοu cοuld write the ratiο as 1 : 3 (fοr every οne bοy there are 3 girls).

A graph shοws a prοpοrtiοnal relatiοnship if it meets the fοllοwing twο criteria:

Linearity: The graph must shοw a straight line passing thrοugh the οrigin (0,0). This means that as οne variable increases, the οther variable increases in prοpοrtiοn.

Cοnstant ratiο: The slοpe οf the line (i.e., the change in the y-variable divided by the change in the x-variable) must be cοnstant thrοughοut the entire graph.

This cοnstant ratiο represents the prοpοrtiοnality cοnstant between the twο variables.

Hence,  A graph shοws a prοpοrtiοnal relatiοnship if it meets the fοllοwing twο criteria Linearity and Cοnstant ratiο.

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Answer:

LM=JM

Step-by-step explanation:

Answer:

(y - 25) = - 0.25(x - 20)

Step-by-step explanation:

Given that :

Height of candle after burning for 20 minutes = 25 cm

Height after burning for 1 hr (60 minutes) = 10 cm

Height (y) in cm of candle x minutes after being lit:

Using the equation :

(y - y1) = m(x - x1)

m = (change in y / change in x)

Change in height within 60 minutes :

Height at 20 minutes = 25cm

Height after an hour = 10

Change in height per hour = (25 - 10) = 15cm

Hence, m = change in height per minute

15cm / 60 = 0.25cm ( - 0.25) (decrease in height)

y1 = 25 ; x1 = 20

(y - y1) = m(x - x1)

(y - 25) = - 0.25(x - 20)

The values of positive integers n (n-11)(n-13) prime would be 6 and the solution are; 5 and 7.

Factorization is expressing a mathematical quantity in terms of multiples of smaller units of similar quantities.

For an integer, factorization is decomposition of that integer in terms of smaller integers which when multiplied with each other give back that considered number. Those composing integers are called factors of that considered integers.

The Prime factorization is when all those factors are prime numbers.

Since prime factorization expresses an integer in terms of multiples of prime numbers.

Prime factorization is unique for each integer.

The value of n would be 6

(n-11) = 6- 11 = 5

(n-13) = 6 - 13 = 7

Therefore, the  values of positive integers n (n-11)(n-13) prime would be 6.

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The formula for determining simple interest is expressed as

I = PRT/100

where

I = interest earned

R = interest rate

T = number of years

P = principal or amount invested

From the information given,

P = 15000

I = 4200

T = 8

Thus, we have

4200 = (15000 x R x 8)/100

4200 = 1200R

R = 4200/1200

R = 3.5

The required interest rate is 3.5%

Answer:

option 2

Step-by-step explanation:

QR = 15 ( triangle is a 8- 15- 17 Pythagorean triple )

cosP = \(\frac{PR}{PQ}\) = \(\frac{8}{17}\) ≠ \(\frac{8}{15}\)

tanQ = \(\frac{PR}{QR}\) = \(\frac{8}{15}\) ≠ \(\frac{15}{8}\)

sinP = \(\frac{QR}{PQ}\) = \(\frac{15}{17}\) ≠ \(\frac{8}{17}\)

cosQ = \(\frac{QR}{PQ}\) = \(\frac{15}{17}\) ← correct statement

Answer:

its the cos q = 15/17

Step-by-step explanation:

cos q = 15 (adjacent) / 17 (hypothenuse)

Answer:

5040

Step-by-step explanation:

an illustration of permutations

The given parameter is:

number of days

dinners for 7 days

Substitute known values

Answer:

figure a?

Step-by-step explanation:

I really don't know the answer to this i would need more information

Answer: Did it in ways that are different.

Step-by-step explanation:

35.25 hours

2115 minutes

5 3 minutes + 5 7 hours

Answer:

Therefore, the probability of getting at least 3 tails is 1/16 + 1/4 = 5/16 or 0.3125.

The probability of getting exactly 3 tails is just 1/4, as we calculated above.

Step-by-step explanation:

To find the probability of getting at least 3 tails when tossing a coin 4 times, we need to add the probabilities of getting 3 tails and 4 tails.

The probability of getting a tail on one toss is 1/2, and the probability of getting a head is also 1/2.

The probability of getting 4 tails is (1/2)^4 = 1/16 because there is a 1/2 chance of getting a tail on each toss, and the events are independent, so we multiply the probabilities together.

The probability of getting 3 tails is (4 choose 3) * (1/2)^4 = 4/16 = 1/4 because we need to choose which 3 tosses will be tails (this can be done in (4 choose 3) = 4 ways), and there is a 1/2 chance of each of those tosses being a tail, with a 1/2 chance of the last toss being a head.

The yield of the bond at the time of purchase is calculated to be approximately 4.67%.

To calculate the yield of a bond at the time of purchase, we need to use the bond pricing formula. The yield represents the annualized return an investor would receive from the bond.

The bond pricing formula is as follows:

Purchase Price = (Coupon Payment / (1 + Yield/2)^2) + (Coupon Payment / (1 + Yield/2)^4) + ... + (Coupon Payment / (1 + Yield/2)^n) + (Face Value / (1 + Yield/2)^n)

Where:

Purchase Price is the price at which the bond was purchased (96.40% of the face value)

Coupon Payment is the periodic interest payment (annual coupon rate divided by 2)

Yield is the yield at the time of purchase (to be determined)

Face Value is the nominal value of the bond ($11,000)

n is the number of compounding periods (in this case, 9 years with semi-annual compounding, so n = 18)

We can rearrange the formula to solve for Yield. However, since it involves a trial-and-error process, we will use numerical methods or financial calculators to find the yield.

Using a financial calculator or Excel, we find that the yield at the time of purchase of the bond is approximately 4.67%.

Therefore, the yield at the time of purchase of the bond is approximately 4.67%.

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Answer:

Cost of item = $2500 + $200

Cost of item = $2700

Step-by-step explanation:

0_0

Answer:

Range is 53

Step-by-step explanation:

The range is the difference between the maximum and minimum values in a data set.

The minimum value in the data set is 45, and the maximum value is 98.

Therefore, the range is:

98 - 45 = 53

So the answer is 53.

Answer:

What is the number of boys? I think you forgot to add the number in.

Step-by-step explanation:

Don't worry, I'll still help you! I'll be here waiting! :)

An exponential equation, y = (20) 3ᵗ, shows the number of infected people from an outbreak of whooping cough. The number of Infected people reach 1000 after 3.56 weeks.

We have an equation that shows the number of people infected from a whooping cough outbreak. This equation is y is equal to 20 times 3 to the power of t, i.e. y = (20) 3ᵗ -- (1)

where y--> number of infected people

t--> time in weeks

An exponential equation is an equation with exponents where either the exponent or part of the exponent is a variable. As we see 't' is variable so, eqution (1) is an exponential equation. We have to determine time in weeks when the number of infected people count reach 1,000. Substitute, y = 1000 in (1)

=> 1000 = (20)3ᵗ

Dividing by 20 both sides

=> 1000/20 = 3ᵗ

=> 50 = 3ᵗ

Taking natural logarithm both sides,

=> ln(50) = ln( 3ᵗ)

=> ln(50) = t ln(3)

=> t = ln(50)/ln(3)

=> t = 3.56

Hence, required value of t is 3.56 weeks.

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