Martina started with 228 boxes of cookies and sold the same number each day for 4 days after 4 days of selling she was left with 100 boxes

Answer:

Step-by-step explanation:

13n=78        /13

n= 6

Answer: 67.8°

Step-by-step explanation:

A quadrilateral's interior angles always add up to 360°.

An equality statement can be set up to satisfy this rule:

103.8+77+111.4+p=360

Collect known values

292.2+p=360

Isolate and solve for p

292.2 (-292.2) +p=360 (-292.2)

p=67.8

Answer:

68.6

Step-by-step explanation:

hello sir / mam!

as the opposite sides of quadrilateral should be 180°

111.4+p=180°

p=180-111.4

p=68.6°

therefore the value of p = 68.6°

hope it helps!

Answer:

x = 0.5 and y = -0.5

Step-by-step explanation:

The given equations are :

y=3x-2 .....(1)

and

y=-x .....(2)

Use (2) in (1). So,

-x=3x-2

Taking like terms together,

2 = 3x+x

2 = 4x

x = 1/2 = 0.5

So,

y = -1/2 = -0.5

The graph is shown in the attached figure.

The original price of the shirt is $11.75.the markdown is 20%, so 20% of the original price is subtracted to get the sale price of $9.40.

If the shirt is marked down by 20%, then the sales price is 80% of the original price. We can set up an equation to find the original price: 0.8 * original price = $9.40

Dividing both sides of the equation by 0.8, we get:

original price = $9.40 / 0.8

original price = $11.75

Therefore, the original price of the shirt is $11.75.

The markdown is a percentage of the original price that is subtracted to get the sale price. In this case, the markdown is 20%, so 20% of the original price is subtracted to get the sale price of $9.40.

To find the original price, we can use the following formula:

Original price = Sale price / (1 - Markdown%)

Plugging in the known values, we get:

Original price = $9.40 / (1 - 0.20)

Original price = $9.40 / 0.80

Original price = $11.75

Therefore, the original price of the shirt is $11.75.

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(a) The probability that a randomly selected policyholder lives more than 80 years is approximately 0.3106.  (b) Given that a male policyholder just turned 80, the probability that he will live for at least three more years is approximately 0.6166.

(a) To find the probability that a randomly selected policyholder lives more than 80 years, we need to calculate the cumulative probability of survival beyond 80 for both males and females separately, and then weigh them based on the gender distribution.

For males: Using the normal distribution with mean 75 and standard deviation 8, we find the probability of survival beyond 80 is approximately 0.3446.

For females: Using the normal distribution with mean 78 and standard deviation 6, we find the probability of survival beyond 80 is approximately 0.2847.

The weighted probability for a randomly selected policyholder is (0.60 * 0.3446) + (0.40 * 0.2847) = 0.3106.

(b) Given that a male policyholder just turned 80 years old today, we can use conditional probability to calculate the likelihood of him living for at least three more years.

Using the normal distribution with mean 75 and standard deviation 8, the probability of survival beyond 83 (80 + 3) is approximately 0.8621.

Therefore, the probability that a male policyholder, who just turned 80, will live for at least three more years is 0.8621.

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Answer:

D. millimeter

Step-by-step explanation:

millimeters [mm]

You can use millimeters.

Answer:

5y = 22.5 or y = 4.5

Step-by-step explanation:

Eric ran 2.5 miles before school every day, so his total distance from running around his neighborhood is 2.5x5 = 12.5 miles.

Let's call the distance Eric ran each day after school "y". Since he ran the same longer route every day, we can write an equation to find his total distance from running at the park:

y + y + y + y + y = 5y

So Eric's total distance for the week is:

12.5 + 5y = 35

To find how many miles, x, Eric ran each day after school, we need to solve for y:

12.5 + 5y = 35

5y = 22.5

y = 4.5

Therefore, Eric ran 4.5 miles each day after school. The equation used to find this is:

5y = 22.5 or y = 4.5

The solution to the given initial value problem, y" + 11y' + 30y = 0 with y(0) = 9 and y'(0) = -47, is y(t) = 2\(e^{-3t}\)- 5\(e^{-8t}\).

To solve the initial value problem, we can assume a solution of the form y(t) = \(e^{rt}\), where r is a constant to be determined.

Substituting this solution into the given differential equation, we get the characteristic equation:

\(r^2\)+ 11r + 30 = 0

Solving the quadratic equation, we find the roots \(r_1 = -3\)and \(r_2 = -8.\)

Since the roots are distinct, the general solution for the homogeneous differential equation is given by:

y(t) = \(c_1e^{-3t} + c_2e^{-8t}\)

To determine the values of the arbitrary constants c_1 and c_2, we use the initial conditions y(0) = 9 and y'(0) = -47.

From y(0) = 9, we have:

\(c_1 + c_2\) = 9

Differentiating y(t) with respect to t and evaluating at t = 0, we get:

y'(t) = \(-3c_1e^{-3t} - 8c_2e^{-8t}\)

y'(0) = \(-3c_1 - 8c_2 = -47\)

Solving the system of equations, we find \(c_1 = 2\)and \(c_2 = -5.\)

Substituting these values back into the general solution, we obtain the particular solution to the initial value problem:

y(t) = \(2e^{-3t} - 5e^{-8t}\)

Therefore, the solution to the given initial value problem is y(t) = \(2e^{-3t} - 5e^{-8t}.\)

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If income growth is higher in the United States, the dollar would appreciate and the British pound would depreciate.

If inflation is higher in Britain, the dollar would appreciate and the British pound would depreciate.

If real interest rate is higher in the United States, the dollar would appreciate and the British pound would depreciate.

Exchange rate is the relative value of two or more currencies. When a currency appreciates, it means that one unit of that currency is buying more units of another currency. When a currency depreciates, it means that one unit of that currency is buying less units of another currency.

If income growth is higher in the United States, it indicates that the economy is growing. As a result the dollar would appreciate in value.

Inflation is when there is a persistent rise in the general price levels. Inflation decreases the purchasing power of currency. Thus, if inflation is higher in Britain, the British pound would depreciate.

If real interest rate is higher in the United States, more investors would want to invest in the US. This would increase the demand for the dollar. As a result, the US dollar would appreciate in value.

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The equation of the transformed exponential function g(x) is g(x) = 2^-x - 1

From the question, we have the following parameters that can be used in our computation:

Parent function: y = 2^x

The graph of the transformed exponential function g(x) passes through the points  (-2,3), (-1,1), (0,0), (1,-0.5) and (2, -0.75)

So, we have the following transformation steps:

1st Transformation:

Reflect y = 2^x across the y-axis

So, we have

y = 2^-x

2nd Transformation:

Translate y = 2^-x down by 1 unit

So, we have

y = 2^-x - 1

This means that

g(x) = 2^-x - 1

Hence, the equation of the function g(x) is g(x) = 2^-x - 1

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Answer:

20%

Step-by-step explanation:

The difference between the 2 in the tens place and 2 to its left column in the given number 2,222.222 is 180.

According to the number system, a number can be written in its expanded form according to their pace value in the chart.

2,222.222 can be written as 2×1000+2×100+2×10+2X1+2×1/10+2×1/100+2×1/1000

The place value of 2 in the tens place in given number 2,222.222 = 20

The place value of 2 in its left column in the given number 2,222.22  = 200

Difference between the place of 2 in tens place and 2 in its left column

= 200 - 20

= 180

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The significance level for each comparison in the Bonferroni procedure should be set at approximately .017 to maintain an overall significance level of .05 for three comparisons.

The Bonferroni procedure is a statistical method used to adjust the significance level when conducting multiple comparisons. It is important to plan the comparisons before the study is conducted to avoid bias and ensure the validity of the results.

In the case of maintaining an overall significance level of .05 for three comparisons, the significance level for each individual comparison should be set at .05 divided by the number of comparisons. In this case, there are three comparisons, so the adjusted significance level for each comparison would be .05 divided by 3, which is approximately .017.

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We have

3 flower already

3 flower with every seed packet

f=3+3(x)

where x is the seed packet and f is the total number of flowers

∑ Hey, microhiezv ⊃

Answer:

x = 18/7            - Fraction Form

x = 2.57           -  Decimal Form

Step-by-step explanation:

Given Info:

\(8x - 9 = x + 9\)

Solve:

\(8x - 9 = x + 9\)

Adding 9 to both sides:

\(8x-9+9=x+9+9\)

\(8x=x+18\)

Subtract x from both sides:

\(8x-x=x+18-x\)

\(7x=18\)

Divide 7x from both sides:

\(\frac{7x}{7}=\frac{18}{7}\)

\(\mathrm{x=\frac{18}{7}\;or\;2.57\;as\;a\;decimal}\)

xcookiex12

8/22/2022

Step-by-step explanation:

first step: put the x one side and coefficient other side.

second step: add or subtract what is given

third step: then divide

The null hypothesis is always a statement about the population parameter or the absence of a relationship or difference between variables in a statistical hypothesis test. It is typically denoted as "H0" and assumes no effect or no difference exists.

The null hypothesis can take different forms depending on the specific research question. For example, in a study comparing the mean scores of two groups, the null hypothesis might state that the means are equal. In a correlation study, the null hypothesis could assert that there is no correlation between variables.

The null hypothesis acts as a baseline for comparison in hypothesis testing. Researchers aim to gather evidence against the null hypothesis to support an alternative hypothesis. Statistical analysis helps determine the likelihood of observing the obtained data if the null hypothesis were true.

By specifying a null hypothesis, researchers can objectively evaluate the evidence and draw conclusions about the relationship or difference they are investigating.

In summary, the null hypothesis is a statement about the population parameter or lack of relationship/difference, which serves as a reference point for hypothesis testing. It helps researchers assess evidence and draw conclusions based on statistical analysis.

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The given statement "In performing a lower-tailed z-test for one mean, the value of the test statistic was z=0.51, which would yield a p-value of 0.695." is true because we perform null hypothesis.

In a lower-tailed z-test for one mean, we test a null hypothesis that the population mean (μ) is greater than or equal to a certain value, against an alternative hypothesis that the population mean is less than that value.

To perform the test, we calculate the z-test statistic using the sample mean, sample standard deviation, sample size, and the hypothesized population mean. If the calculated z-test statistic falls in the rejection region (below the critical value), we reject the null hypothesis and conclude that the population mean is less than the hypothesized value.

In this case, the calculated z-test statistic is 0.51, which falls in the non-rejection region (above the critical value) for a lower-tailed test with a significance level of 0.05. Therefore, the p-value is greater than 0.05, and we do not reject the null hypothesis. The statement that the p-value is 0.695 is consistent with this conclusion.

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Answer:

height = 12 cm

Step-by-step explanation:

Parallelogram 1:

Area =  base *height = 20 * 15 = 300 sq. cm

Area of parallelogram 2 = area of parallelogram 1

25 * height = 300

       height = 300/25

height = 12 cm

Answer: C≈116.24

Step-by-step explanation:

C=2πr=2·π·18.5≈116.23893

Given data:

The given triangles.

The given trinagles are similar.

Thus, the (D) option is correct.

The expression is equivalent is 6x/4 + 24y/12

Algebraic expressions are described as expressions composed of variables, terms, factors, constants, and coefficients.

These expressions also consisting of mathematical operations, such as;

Given the expression;

1/4(3x+4y) + 3(1/4x+ 2/3y)

expand the bracket

3x/4 + 4y/4 + 3/4x + 3/3y

collect like terms

3x/4 + 3/4x + 4y/4 + 3/3y

add like terms

3x + 3x/4 +  12y + 12y /12

add the numerators

6x/4 + 24y/12

Hence, the expression is 6x/4 + 24y/12

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Answer:

r = 68 km

Step-by-Step Explantation:

Answer:

Step-by-step explanation:

119/12

108car wash

11 students as community volunteers

Traingle DEF is isosceles

So

Hence