Niccola travels at an average speed of 40 mph for 50 miles.Without stopping, Niccola then travels 60 miles in 1.75 hours.
Find her average speed for the entire journey to 2 dp.

Answers

Answer 1

Answer:

Answer:

Step-by-step explanation:

I am sorry i need points, i cant

Related Questions

Round 3.83991676655 to the nearest hundred-thousandth.
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I NEED AN EXPLANATION PLEASE!! I need a fast answer
A final exam in Sociology has a mean of 72 and a standard deviation of 9.2. If 35 students are randomly selected, find the probability that that the mean of their test scores will be greater than 76. (Round to tenth of a percent)

The weights of adobe bricks used for construction are normally distributed with a mean of 3 pounds and a standard deviation of 0.25 pound. Assume that the weights of the bricks are independent and that a random sample of 28 bricks is selected. Round your answers to four decimal places (e.g. 98.7654). (a) What is the probability that all the bricks in the sample exceed 2.75 pounds? (b) What is the probability that the heaviest brick in the sample exceeds 3.75 pounds?

Answers

Answer: a) 0.8413, b) 0.9987.

Step-by-step explanation:

Since we have given that

Mean = 3 pounds

Standard deviation = 0.25 pounds

n = 28 bricks

So, (a) What is the probability that all the bricks in the sample exceed 2.75 pounds?

$P(X>2.75)\n\n=P(z>(2.75-3)/(0.25)\n\n=P(z>(-0.25)/(0.25))\n\n=P(z>-1)\n\n=0.8413$

b) What is the probability that the heaviest brick in the sample exceeds 3.75 pounds?

$P(X>3.75)\n\n=P(z>(3.75-3)/(0.25))\n\n=P(z>(0.75)/(0.25))\n\n=P(z>3)\n\n=0.9987$

Hence, a) 0.8413, b) 0.9987.

17.Find the value of k that will make 4x² – 12x + k a perfect square trinomial.
k =
Enter your next step here
-
G
O Tool

Answers

Solution:

Using formula (a-b)^2 = a^2-2ab+b^2

$4x^(2) - 12x + k \n = > (2x) ^(2) - 2(2x)(3) + {3}^(2) \n \n = > {(2x)}^(2) - 2(2x)(3) + 9$

Answer:

k = 9

Answer:

Using formula (a-b)^2 = a^2-2ab+b^2

4x 2 −12x+k

=>(2x) 2 −2(2x)(3)+3 2

=>(2x) 2 −2(2x)(3)+9

=> k = 9

Determine the sum of the arithmetic series 6 + 11 + 16 +......
91.

Answers

Answer:

873

Step-by-step explanation:

so the equation is: 5x+1

sum is:

$(first \: one \: + \: last \: one)/(2) * quantity \: of \: terms \n$

we have 6( 5×1+1) to 91 (5×18+1)

so we have 18 terms

then:

$(91 + 6)/(2) * 18 = 873$

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

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What are the coordinates of the point on the directed line segment from (-6, -3) to(5,8) that partitions the segment into a ratio of 6 to 5?

Answers

Given:

A point divides a directed line segment from (-6, -3) to (5,8) into a ratio of 6 to 5.

To find:

The coordinates of that point.

Solution:

Section formula: If point divides a line segment in m:n, then the coordinates of that point are

$Point=\left((mx_2+nx_1)/(m+n),(my_2+ny_1)/(m+n)\right)$

A point divides a directed line segment from (-6, -3) to (5,8) into a ratio of 6 to 5. Using section formula, we get

$Point=\left((6(5)+5(-6))/(6+5),(6(8)+5(-3))/(6+5)\right)$

$Point=\left((30-30)/(11),(48-15)/(11)\right)$

$Point=\left((0)/(11),(33)/(11)\right)$

$Point=\left(0,3\right)$

Therefore, the coordinates of the required point are (0,3).

What is the height of a
triangle with area 893 square
inches and base 38 inches?

Answers

Here is the answer.

Answer:

Step-by-step explanation:

Start by drawing the figure and labeling it with the given information. We are looking for the height of a triangle. The formula for the area of a triangle is A=12bh, where b is the length of the base and h is the height of the triangle. Substituting in the given information and solving for h, we find

A8938931947=12bh=12(38)(h)=h=h

The height is 47 inches.

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