MATHEMATICS COLLEGE

A rectangular gift box is 9inches inches wide, 12 inches long and 5 inches tall. How much wrapping paper is needed to cover the box exactly

Answers

Answer 1

Answer:

Answer:

You will $426 \:in^2$ wrapping paper to cover the box.

Step-by-step explanation:

To find how much wrapping paper you will need to cover the box, you will have to find the surface area.

The surface area is the amount of area around the outside of an object.

The outside surface area of a box is given by

$S=2(h \cdot W) + 2(h\cdot L) + 2(W \cdot L)$

where h is the height, W is the width, and L is the length of the box.

From the information given we know that the height is 5 inches, the width is 9 inches, and the length is 12 inches.

Applying the above formula we get that

$S=2(5 \cdot 9) + 2(5 \cdot 12) + 2(9 \cdot 12) \nS=2\cdot \:45+2\cdot \:60+2\cdot \:108\nS=90+120+216\nS=426 \:in^2$

You will $426 \:in^2$ wrapping paper to cover the box.

Related Questions

8/t + t^2; t=4 please help me
Change 11/5 from an improper fraction to a mixed number
Baby Unicorns have a weekly training schedule, flying for 4 hours per day on some days and 2 hours per day on the other days. They fly a total of 24 hours in a seven-day week. On how many days do they fly for 4 hours?
What is the inverse for this problem?
Question 6(06.02 MC)Which of these is the algebraic expression for "5 less than 6 times some number?" (1 point)6t - 5Ob5t-6С5 - 6tOd6-50

A new drug to treat psoriasis has been developed and is in clinical testing. Assume that those individuals given the drug are examined before receiving the treatment and then again after receiving the treatment to determine if there was a change in their symptom status. If the initial results showed that 2.0% of individuals entered the study in remission, 77.0% of individuals entered the study with mild symptoms, 16.0% of individuals entered the study with moderate symptoms, and 5.0% entered the study with severe symptoms calculate and interpret a chi-squared test to determine if the drug was effective treating psoriasis given the information below from the final examination.

Answers

Answer:

Step-by-step explanation:

Solution:-

State the hypotheses. The first step is to state the null hypothesis and an alternative hypothesis.

Null hypothesis: The distribution of severity of psoriasis cases at the end and prior are same.

Alternative hypothesis: The distribution of severity of psoriasis cases at the end and prior are different.

Formulate an analysis plan. For this analysis, the significance level is 0.05. Using sample data, we will conduct a chi-square goodness of fit test of the null hypothesis.

Analyze sample data. Applying the chi-square goodness of fit test to sample data, we compute the degrees of freedom, the expected frequency counts, and the chi-square test statistic. Based on the chi-square statistic and the degrees of freedom, we determine the P-value.

DF = k - 1 = 4 - 1

D.F = 3

(Ei) = n * pi

Category observed Num expected num [(Or,c -Er,c)²/Er,c]

Remission 380 20 6480

Mild

symptoms 520 770 81.16883117

Moderate

symptoms 95 160 24.40625

Severe

symptom 5 50 40.5

Sum 1000 1000 6628.075081

Χ2 = Σ [ (Oi - Ei)2 / Ei ]

Χ2 = 6628.08

Χ2Critical = 7.81

where DF is the degrees of freedom, k is the number of levels of the categorical variable, n is the number of observations in the sample, Ei is the expected frequency count for level i, Oi is the observed frequency count for level i, and Χ2 is the chi-square test statistic.

The P-value is the probability that a chi-square statistic having 3 degrees of freedom is more extreme than 6628.08.

We use the Chi-Square Distribution Calculator to find P(Χ2 > 19.58) =less than 0.000001

Interpret results. Since the P-value (almost 0) is less than the significance level (0.05), we cannot accept the null hypothesis.

We reject H0, because 6628.08 is greater than 7.81. We have statistically significant evidence at alpha equals to 0.05 level to show that distribution of severity of psoriasis cases at the end of the clinical trial for the sample is different from the distribution of the severity of psoriasis cases prior to the administration of the drug suggesting the drug is effective.

Final answer:

The chi-square test is a statistical method that determines if there's a significant difference between observed and expected frequencies in different categories, such as symptom status in this clinical trial. Without post-treatment numbers, we can't run the exact test. However, if the test statistic exceeded the critical value, we could conclude that the drug significantly affected symptom statuses.

Explanation:

This question pertains to the use of a chi-squared test, which is a statistical method used to determine if there's a significant difference between observed frequencies and expected frequencies in one or more categories. For this case, the categories are the symptom statuses (remission, mild, moderate, and severe).

To conduct a chi-square test, you first need to know the observed frequencies (the initial percentages given in the question) and the expected frequencies (the percentages after treatment). As the question doesn't provide the numbers after treatment, I can't perform the exact chi-square test.

If the post-treatment numbers were provided, you would compare them to the pre-treatment numbers using the chi-squared formula, which involves summing the squared difference between observed and expected frequencies, divided by expected frequency, for all categories. The result is a chi-square test statistic, which you would then compare to a critical value associated with a chosen significance level (commonly 0.05) to determine if the treatment has a statistically significant effect.

To interpret a chi-square test statistic, if the calculated test statistic is larger than the critical value, it suggests that the drug made a significant difference in the distribution of symptom statuses. If not, we can't conclude the drug was effective.

Learn more about Chi-square test here:

brainly.com/question/31949851

#SPJ3

The Point (0,0) is a solution to which of these inequalities?

Answers

Answer:

(0, 0) s the solution of y-4 < 3x-1 as it satisfies the inequality.

Hence, option C is true.

Step-by-step explanation:

Given the point (0, 0)

Putting the point (0, 0) the inequality

y+4 < 3x-1

0+4 < 3(0)-1

4 < -1

This is false as -1 can not be greater than 4

y-1 < 3x-4

Putting the point (0, 0) the inequality

0-1 < 3(0)-4

-1 < -4

This is false as -1 can not be lesser than -4

y-4 < 3x-1

Putting the point (0, 0) the inequality

0-4 < 3(0)-1

-4 < -1

This is true as -4 is lesser than -1

y+4 < 3x+1

Putting the point (0, 0) the inequality

0+4 < 3(0)+1

4 < 1

This is false as 4 can not be lesser than 1

Therefore, (0, 0) s the solution of y-4 < 3x-1 as it satisfies the inequality.

Hence, option C is true.

A 1-kg model airplane has 12.5 joules of kinetic energy and 98 joules of gravitational potential energy. What is its speed? What is its height?

Answers

The formula for the kinetic energy is:

Ke = 0.5mv^2

Where ke is the kinetic enrgy

M is the mass

V is the velocity

Ke = 0.5mv^2

12.5 = 0.5(1) v^2

Solve for v

V = 5 m/s

Potential energy, pe = mgh

Where m is mass

G is accelearation due to gravity 9.8 m/s2

H is the height

98 = (1)(9.8) h

H = 10 m

A point travels East 3 spaces and South 8 spaces.Write the description in algebraic terms.

Answers

Answer:

A point travels East 3 spaces and South 8 spaces.

Algebraic equation

$P'(x,y) = (x+3, y-8)$

Step-by-step explanation:

From the viewpoint of Linear Algebra, the description can be described by means of translation, which is defined as:

$P'(x,y) =P(x,y) +T(x,y)$ (1)

Where:

$P(x,y)$ - Initial position of the traveller, dimensionless.

$T(x,y)$ - Translation vector, dimensionless.

$P'(x,y)$ - Final position of the traveller, dimensionless.

Let suppose that $y > 0$ represents the number of steps to the north, and $x> 0$ , the number of steps to the east.

If we know that $P(x,y) =(x,y)$ and $T(x,y) = (3, -8)$ , then the resulting equation is:

$P'(x,y) = (x,y) +(3,-8)$

$P'(x,y) = (x+3, y-8)$

Jonah read 5 1/2 chapters in his book in 90 minutes how long did it take him to read one chapter

Answers

Answer:

around 16 minutes. you partition an hour and a half (all out) by what number of sections he read (5.5

Step-by-step explanation:

One cup of popcorn kernels makes four cups of popped corn. There are eight cups of kernels in a bag. How many cups of popped corn will one bag of kernels make?

Answers

Answer:

Step-by-step explanation:

so because there is 1 cup of kernels which makes 4 cups of pop corn and there are 8 cups of crenels you would multiply 8 and 4.

Other Questions

-(- 3.8a - 9b + 5.8)

Robin can clean 727272 rooms in 666 days. how many rooms do she clean in 9 days

A function is shown belowg(x) = 19.60 + 1.74What is the value of x when g(x) = 28.3

Some algae contains up to 50% oil by weight. How much oil is in a 7.3-ounce sample of this type of algae?This would help if you could solve anyone.