MATHEMATICS COLLEGE

Factor the following expression: 7x + 28x2 + 21x​

Answers

Answer 1
Answer:

Answer:2

8

2

+

2

8

Step-by-step explanation:
Answer 2
Answer:

Answer:

84x

Step-by-step explanation:

If you have any questions feel free to ask in the comments.

Related Questions

In a study of 788 randomly selected medical malpractice​ lawsuits, it was found that 494 of them were dropped or dismissed. Use a 0.05 significance level to test the claim that most medical malpractice lawsuits are dropped or dismissed.Which of the following is the hypothesis test to be conducted?A.Upper H 0 : p less than 0.5Upper H 1 : p equals 0.5B.Upper H 0 : p greater than 0.5Upper H 1 : p equals 0.5C.Upper H 0 : p equals 0.5Upper H 1 : p not equals 0.5D.Upper H 0 : p equals 0.5Upper H 1 : p less than 0.5E.Upper H 0 : p not equals 0.5Upper H 1 : p equals 0.5F.Upper H 0 : p equals 0.5Upper H 1 : p greater than 0.5What is the test statistic?Z =(Round to two decimal places as needed.)What is the conclusion about the null hypothesis?A. Reject the null hypothesis because the P-value is greater than the significance level, alpha.B. Fail to reject the null hypothesis because the P-value is less than or equal to the significance level, alpha.C. Fail to reject the null hypothesis because the P-value is greater than the significance level, alpha.D. Reject the null hypothesis because the P-value is less than or equal to the significance level, alpha.What is the final conclusion?A.There is sufficient evidence to support the claim that most medical malpractice lawsuits are dropped or dismissed.B.There is not sufficient evidence to support the claim that most medical malpractice lawsuits are dropped or dismissed.C.There is sufficient evidence to warrant rejection of the claim that most medical malpractice lawsuits are dropped or dismissed.D.There is not sufficient evidence to warrant rejection of the claim that most medical malpractice lawsuits are dropped or dismissed.
jay simplified the expression 3 x (3 +12 / 3) -4. for his first step ,he added 3 + 12 to get 15. what was jay's error? find the correct answer
Just please give me an answer
Simplify the expression: 5(n − 6)
which polynomials are in standard form? A. t^4-1 B. -2t^2+3t+4 C. 4t-7 D. None of The Above Choose all answers that apply

purchased a toyota 4Runner for $25,635. promised your daughter the suv will be hers when the car is worth $10,000. according to the car dealer the suv will depreciate approximately $3,000 per year,if your daughter is currently 15 years old, how old will she be when the 4Runner will be hers.

Answers

Answer:

  about 20

Step-by-step explanation:

The vehicle must decline in value by $25,635 -10,000 = $15,635. At the rate of $3000 per year, it will take ...

  15,635/3,000 ≈ 5.21167

In 5.2 years, she will be about 20 years old.

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

A hot air balloon descends to the ground. The function h(t) = 210 – 15t can be used to describe the altitude of the balloon as it approaches the ground. Which statement best describes the graph of the function that models the descent of the balloon?A) The graph is discrete because there cannot be fractional values for time.
B) The graph is discrete because there cannot be negative values for altitude.
C) The graph is continuous because there can be fractional values for time.
D) The graph is continuous because there can be negative values for altitude.

Answers

Answer:

Option c

Step-by-step explanation:

Given that a hot air balloon descends to the ground.

The function

h(t) = 210 - 15t

can be used to describe the altitude of the balloon as it approaches the ground.

Here t = time and h = height

Since t cannot be negative we can t starting from 0

t can take any fractional value and h is well defined for any value of t positive

So option c is right
C The graph is continuous because there can be fractional values for time

(2x - y + 3) (2x - y - 3)using identities ​

Answers

Step-by-step explanation:

(2x-y+3)(2x-y-3)=

4x²-2xy-6x-2xy+y²+3y+6x-3y-9=

4x²-4xy+y²-9=

(2x-y)²-9

im giving my friends 9 cupcakes thats 60 percent of my order how many more cupcakes do i need to get my order to 100 percent

Answers

The number of cupcakes needed to get the order to 100% is 6 cupcakes.

What is a percentage?

The percentage is calculated by dividing the required value by the total value and multiplying by 100.

Example:

Required percentage value = a

total value = b

Percentage = a/b x 100

Example:

50% = 50/100 = 1/2

25% = 25/100 = 1/4

20% = 20/100 = 1/5

10% = 10/100 = 1/10

We have,

60% = 9 cupcakes

Multiply 100/60 on both sides.

100/60 x 60% = 100/60 x 9 cupcakes.

100% = 5 x 3 cupcakes

100% = 15 cupcakes

Thus,

6 morecupcakes are needed.

Learn more about percentages here:

brainly.com/question/11403063

#SPJ2

Answer:

6 more cupcakes.

Step-by-step explanation:

60% of 15 is 9, so 15-9 is 6.

Pls help 5[9+3(3.2-3)]

Answers

Answer:

48

Step-by-step explanation:

3.2 - 3 = .2

3(.2) = .6

9 + .6 = 9.6

5 * 9.6 = 48
This is the working for the answer that is 48

5 ( 9 + 3 ( 3 - 3.2 ) )
5 ( 9 + 3 * 0.2 )
5 ( 9 + 0.6 )

5 * 9.6 = 48
Other Questions
A car company claims that its cars achieve an average gas mileage of at least 26 miles per gallon. A random sample of five cars form this company have an average gas mileage of 25.2 miles per gallon and a standard deviation of 1 mile per gallon. At α=0.06, can the company’s claim be supported, assuming this is a normally distributed data set?
1. Consider the following hypotheses:H1 : ∃x (p(x) ∧ q(x)) H2 : ∀x (q(x) → r(x))Use rules of inference to prove that the following conclusion follows from these hypotheses:C : ∃x (p(x) ∧ r(x))Clearly label the inference rules used at every step of your proof.2. Consider the following hypotheses:H1 : ∀x (¬C(x) → ¬A(x)) H2 : ∀x (A(x) → ∀y B(y)) H3 : ∃x A(x)Use rules of inference to prove that the following conclusion follows from these hypotheses:C : ∃x (B(x) ∧ C(x))Clearly label the inference rules used at every step of your proof.3. Consider the following predicate quantified formula:∃x ∀y (P (x, y) ↔ ¬P (y, y))Prove the unsatisfiability of this formula using rules of inference.
Which one does not belong? Explain your reasoning.y = 4x + 3y = -4x + 5y = 1/4x + 5y = 4x - 5
A particle moving along a line has position s(t) = t^4 − 20t^2 m at time t seconds. Determine: (a)- At which times does the particle pass through the origin? (b)- At which times is the particle instantaneously motionless.