An organism which must obtain its food from other organisms is called a:
parasite
spore
fern
moss

Answer:

Dependent

Step-by-step explanation:

Because you and your friend are in the same race, the lane number your friend will get is affected by your random draw.

Lane number for the same race is a dependent Event.

An easy way to think of independent and dependent variables is, when you're performing an experiment, the independent variable is what you change, and the dependent variable is what changes because of that. The independent variable can alternatively be viewed as the cause, and the dependent variable as the result.

We have,

A lane number for a 100-meter race.

Here, Lane number for same race is dependent Quantity.

As, You and a friend are competing in the same race.

Then, your random draw will determine which lane number your friend will receive.

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Answer:

d. All of these.

Step-by-step explanation:

Analysis of variance (ANOVA) is used in statistics to determine the difference between the mean of two groups. A completely randomized design implies that samples are randomly assigned to either a treatment group or a placebo group during the experiment.  For example, if 40 people are selected to test the effect of an analgesic, four groups could be designed- Groups A, B, C, and D. Groups A, B, and C, can be given different amounts of the drug and Group D, given a placebo. This is an example of a randomized design because the participants were randomly assigned to the groups.

For an ANOVA test to exhibit complete randomized design, we assume that the sample populations are normally distributed, and also have the same variances. We also assume in this design, that samples are randomly and independently selected from their respective populations.

Answer:

  {-5, -4, -2, 0, 1}

Step-by-step explanation:

The domain is the list of first numbers of the ordered pairs. That list is shown above.

Answer:

3/4

Step-by-step explanation:

We know a geometric sequence has the formula:  a_n = a_1 * r^(n-1)

a_2 = 20

a_4 = (45/4)

so...    a_2 = a_1* r^(2-1) =  20

and    a_4 = a_1* r^(4-1) = (45/4)

a_1 * r = 20

a_1* r^3 = (45/4)

a_1 = 20/r

(20/r) * r^3 = (45/4)

20 * r*r = 45/4

r*r = 45/80 =  9/16

r =  3/4   or  r = -3/4   it must be positive.

common ratio is r = 3/4

Answer:

35 units^2.

Step-by-step explanation:

Area = base * altitude

= 7 * 5.

Answer:

35 sq. un.

Step-by-step explanation:

The Intuition for why the area of a parallelogram is A=bh (area = base x height)

The formula for the area of a parallelogram is base times height, just like the formula for the area of a rectangle.

Have a great day!

Answer:

m Arc AD = 43°

Step-by-step explanation:

The question is missing a diagram. Find attached the diagram of the question.

Given:

AB is a diameter of circle P

Solution:

From the diagram,

∠ADP = 7x+1

∠BPC = 9x-7

∠CPD = 90° (the symbol of right angle is drawn)

∠m Arc APB = 180° (sum of angles on a straight line or sum of angle in a semi circle)

∠APD + ∠CPD + ∠BPC = 180°

(7x+1)° + 90° + (9x-7)° = 180°

7x+1 + 90 + 9x-7 = 180

Collect like terms

7x+9x = 180 - 90 + 7 -1

16x = 96

x = 96/16

x = 6

Insert the value color x in ∠APD

∠APD = 7(6) + 1

∠APD = 43°

m Arc AD = ∠ APD

m Arc AD = 43°

Therefore arc measure of AD in degrees = 43°

Final answer:

To find the length of the shadow cast by the tree, calculate the scale factor between the pole and its shadow, then multiply this factor by the height of the tree to get the length of the tree's shadow.

Explanation:

To find the length of the shadow cast by the tree:

Calculate the scale factor between the pole and its shadow: 12 feet pole casts a 9 feet shadow, so the scale factor is 12/9 = 4/3.

Multiply this scale factor by the height of the tree: 45 feet x 4/3 = 60 feet shadow cast by the 45 feet tall tree.

Answer:

7

Step-by-step explanation:

Answer:

-1

Step-by-step explanation:

(9/3)+24-28

(3)+(-4)

-1

Answer:

170.5

Step-by-step explanation:

2.75x62=170.5 hope this helps

Answer:

A) The graph is translated left 5 units, compressed vertically by a factor of One-half, and translated up 3 units.

Step-by-step explanation:

Edg 2020

It follows from the task content that the transformation required to produce the graph is; The graph is translated left 5 units, compressed vertically by a factor of One-half, and translated up 3 units.

It follows from the task content that initial equation is; y = (x-1)² - 3 while the transformation produced; y = (1/2)(x+4)².

It therefore follows that upon translation leftwards by 5 units, the (x-1) term becomes (x+4).

And finally, upon compression vertically by a factor of One-half, and translation upwards 3 units. The transformed form of the graph is obtained.

On this note, the required transformations are as indicated above.

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Answer:

Scott will read 77 pages in 7 days.

Step-by-step explanation:

7x11=77

Answer:

See explaination

Step-by-step explanation:

See attachment for diagram

The r value is 0.373 (low). This implies a weak correlation between the dependent and independent variables for this sample.

The overall p- value for the regression model is 0.0017. This implies that at least one of the two independent variables (x1 or x2) in the model is significant predictor of the dependent variable y.

p- values for the both "Fact" and "Star" are < 0.05. This means both the independent variables are significant predictors of the "Rating" at 95% confidence level. The variable "Fact" is significant at 99% level of confidence also. This means the rating viewers award to a movie depends upon both the storyline (fact or Fiction) and the presence or absence of stars.

Expected rating for a fact based movie with no stars = 1.7991(1) + 1.2586(0) + 12.5685 = 14.37

Expected rating for a fiction based movie with a star = 1.7991(0) + 1.2586(1) + 12.5685 = 13.83

So, one may expect a fact based movie without any stars to get better ratings than a fiction based movie with one star.

Answer:

The standard deviation of the sampling distribution of the sample mean score for a random sample of 36 students is 1.

Step-by-step explanation:

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

In this problem, we have that:

[tex]\sigma = 6, n = 36[/tex]

Then, by the Central Limit Theorem:

[tex]s = \frac{\sigma}{\sqrt{n}}[/tex]

[tex]s = \frac{6}{\sqrt{36}}[/tex]

[tex]s = 1[/tex]

The standard deviation of the sampling distribution of the sample mean score for a random sample of 36 students is 1.

Answer:

The fraction of the total number of leaves did they collect altogether is [tex]\frac{16}{25}[/tex]

Step-by-step explanation:

This question can be solved by a sum of fractions.

Lee collect 24/100 of the tiral number of leaves needed.

Maya collects 4/10 of the total number of leaves needed.

What fraction of the total number of leaves did they collect altogether?

This is the sum of 24/100 and 4/10.

The lesser common multiple between 100 and 10 is 100. So

[tex]\frac{24}{100} + \frac{4}{10} = \frac{24 + 10*4}{1001} = \frac{64}{100}[/tex]

We can simplify by four

The fraction of the total number of leaves did they collect altogether is [tex]\frac{16}{25}[/tex]

Final answer:

Lee and Maya have collected 64/100 or 64% of the total number of leaves needed for their project when we add Lee's 24/100 and Maya's 40/100 together.

Explanation:

Lee has collected 24/100 of the leaves, and Maya has collected 4/10 of the leaves for their art project. To find out what fraction they have collected altogether, we need to add the two fractions. However, before we can do that, we need to make sure the fractions have the same denominator.

Since 4/10 can be simplified to 40/100, we now have a common denominator of 100. Adding the two fractions together:

Lee's leaves: 24/100

Maya's leaves: 40/100

Total leaves collected: 24/100 + 40/100 = 64/100

Therefore, Lee and Maya have collected 64/100 of the total number of leaves needed for their project.

Final answer:

The sample evidence does not support the inspection​ station's claim that the wait time is less than 8 minutes.

Explanation:

To test the claim that the wait time at the vehicle emission inspection station is less than 8 minutes, we can conduct a hypothesis test using the sample data provided. The null hypothesis (H0) is that the mean wait time is greater than or equal to 8 minutes, and the alternative hypothesis (Ha) is that the mean wait time is less than 8 minutes.

We need to calculate the test statistic, which is the t-value. The formula to calculate the t-value is:

t = (sample mean - population mean) / (sample standard deviation / sqrt(sample size))

Using the given data, we can plug in the values:

t = (7.43 - 8) / (3.6 / sqrt(64))

Calculating this gives us a t-value of -1.248.

Next, we need to determine the critical value at a significance level of 0.005. Since the alternative hypothesis is that the mean wait time is less than 8 minutes, we will use a one-tailed test and find the critical value from the t-distribution table. At a significance level of 0.005 and 63 degrees of freedom (64 - 1), the critical value is -2.650.

Finally, we compare the test statistic to the critical value. If the test statistic is less than the critical value, we reject the null hypothesis. In this case, -1.248 is greater than -2.650, so we fail to reject the null hypothesis. This means that the sample evidence does not support the inspection station's claim that the wait time is less than 8 minutes at a significance level of 0.005.

Answer:

e. No, the p-value is greater than 0.01, so there is insufficient evidence at the 0.01 level to conclude that pain levels are lower after hypnotism.

Step-by-step explanation:

Hello!

The study's objective is to test if hypnotism reduces pain.

A sample of n=8 subjects was taken and the pain level was recorded in each subject before and after being hypnotized.

The variable of interest was determined by calculating the difference of pain level after - before hypnosis. This is a paired sample test and the variable can be determined as:

Xd: Difference between pain level felt after hypnosis and pain level felt before hypnosis of a subject.

The sample average and standard deviation obtained were:

Xd= -3

Sd= 3

And the variable is presumed to be approximately normal.

An approximately normal distribution is enough to conduct a paired sample t-test.

If the claim is that hypnosis reduces pain, then the average pain level after hypnosis should be less than the average pain level before hypnosis, then the average difference is expected to be negative, symbolically: μd < 0

The test will be one-tailed and so will be the p-value.

Remember: The p-value is defined as the probability corresponding to the calculated statistic if possible under the null hypothesis (i.e. the probability of obtaining a value as extreme as the value of the statistic under the null hypothesis).

So first step is to calculate the value of the statistic under the null hypothesis and then you can calculate the p-value.

H₀: μd ≥ 0

H₁: μd < 0

[tex]t_{H_0}= \frac{X_d-Mu_{d}}{\frac{S_d}{n} }= \frac{-0-0}{\frac{3}{\sqrt{8} } } = -2.828= -2.83[/tex]

The DF of the t-test are n-1= 7

Then you can calculate the p-value as:

P(t₇≤-2.83)= 0.0127

The level of the test is α: 0.01

The decision rule is:

If p-value ≤ α, reject the null hypothesis.

If p-value > α, do not reject the null hypothesis.

The p-value > α the decision is to not reject the null hypothesis.

Correct option: e. No, the p-value is greater than 0.01, so there is insufficient evidence at the 0.01 level to conclude that pain levels are lower after hypnotism.

I hope this helps!

Answer:

There are 120 different drinks that you can order.

Step-by-step explanation:

You have 10 options of soda for which you can choose.

For each options, there are 12 different cup sizes.

12*10 = 120

So there are 120 different drinks that you can order.

Answer:

A wide variety of life exists in Florida Panhandle

Step-by-step explanation:

A habitat is the natural environment in which organisms lives. We have three types of habitat which include aquatic, terrestrial and arboreal. These habitats contains different organisms.

Florida Panhandle having almost sixty different types of habitats means more organisms living in this place. This translates to a wide variety of life existing in Florida Panhandle.

The statement that best describes the Florida Panhandle based on the fact that it has almost 60 different types of habitats is that it is a region with high biodiversity and a variety of ecosystems.

The presence of nearly 60 distinct habitats in the Florida Panhandle indicates a rich tapestry of ecological systems. Biodiversity refers to the variety of life in the world or in a particular habitat or ecosystem. This includes the different species of plants, animals, and microorganisms, the genetic differences among them, and the ecosystems in which they occur. A high number of habitats suggests that the area supports a wide range of species that have adapted to the different environmental conditions present in these habitats.

Ecosystems are communities of living organisms in conjunction with the nonliving components of their environment (things like air, water, and soil), interacting as a system. These ecosystems can range from coastal marshes and estuaries to longleaf pine forests and freshwater springs. Each habitat type provides unique resources and living conditions, which in turn support different types of organisms.

The Florida Panhandle's diverse habitats likely result from its geography, climate, and history. The region may include coastal areas, wetlands, forests, and other landscapes, each with its own set of habitats. This diversity is crucial for the overall health of the environment, as it allows for a greater number of species to thrive and for ecological processes to function effectively. It also provides opportunities for recreation, research, and education, and it underscores the importance of conservation efforts to protect these valuable natural resources.

In summary, the high number of habitats in the Florida Panhandle is indicative of its ecological richness and the importance of conserving this diversity for environmental health and human enjoyment."

Answer: The answer is b

Step-by-step explanation:

The answer is b due to the exterior angle theorem which is 1 exterior angles = 2 interior angles on the opposites sides

so the eqaution is

105= 67+x

and x + 38 which is b

Answer:

C. 33

Step-by-step explanation:

use a protractor in the future

Answer:

Kindly go through the explanation for all the answers required

Step-by-step explanation:

Values gotten from the question are: mean= 1850

standard deviation= 150

Z= \frac{x- \mu }{\sigma }

33) X= 1700

P(X>1700)=P( \frac{x- \mu }{\sigma }>\frac{1700-1850}{150})=P(Z>-1)

P(X>1700)=P(Z>-1)=1- P(Z\leq -1)=0.8413

34) X= 1950

P(X<1950)=P( \frac{x- \mu }{\sigma }<\frac{1950-1850}{150})=P(Z<0.6667)=0.7475

35) X1= 1750 and X2= 1900

P(1750\leq X\leq 1900)=P( \frac{1750-1850}{150}\leq \frac{x- \mu }{\sigma }\leq \frac{1900-1850}{150})=P(-0.6667\leq Z\leq 0.333)

P(1750\leq X\leq 1900)=P(-0.6667\leq Z\leq 0.333)=0.3781

36) X1= 1600 and X2= 2000

P(1600\leq X\leq 2000)=P( \frac{1600-1850}{150}\leq \frac{x- \mu }{\sigma }\leq \frac{2000-1850}{150})=P(-1.6667\leq Z\leq 1)

P(1600\leq X\leq 2000)=P(-1.6667\leq Z\leq 1)=0.7936

37) X1= 1550 and X2= 2100

P(1550> X> 2100)=P( \frac{1550-1850}{150}> \frac{x- \mu }{\sigma }> \frac{2100-1850}{150})

P(-2>Z>1.6667)=P(Z\leq -2)+(1-P(Z<1.6667))=0.02275+(1-0.9522)=0.0705

38) 95% Confidence interval:Critical value: Z(0.05/2)= 1.96

CI: \mu \pm Z*\sigma =>1850\pm 1.96*150

CI: 1850\pm 294=>(1850-294,1850+294)=>(1556,2144)

The smallest weight= 1556

The largest weight= 2144

Answer:

(x + 1/2) ² = 289/4

Step-by-step explanation: I answered this correctly

The solutions to t[tex]x^2 + x = 72[/tex]he equation [tex]x^2 + x - 72[/tex] = 0 are x = 8 and x = -9.

To rewrite the quadratic equation[tex]x^2 + x - 72[/tex] = 0 by completing the square, we follow these steps:

Step 1: Move the constant term to the other side of the equation:

[tex]x^2 + x = 72[/tex]

Step 2: Take half of the coefficient of the x-term (which is 1) and square it. Add this value to both sides of the equation:

[tex]x^2 + x + (1/2)^2 = 72 + (1/2)^2\\x^2 + x + 1/4 = 72 + 1/4[/tex]

Step 3: Rewrite the left side as a perfect square:

[tex](x + 1/2)^2 = 289/4[/tex]

Step 4: Take the square root of both sides:

x + 1/2 = ± √(289/4)

Step 5: Solve for x:

x + 1/2 = ± 17/2

x = -1/2 ± 17/2

x = (-1 + 17)/2 or x = (-1 - 17)/2

x = 16/2 or x = -18/2

x = 8 or x = -9

The solutions to the equation [tex]x^2 + x - 72[/tex] = 0 are x = 8 and x = -9.

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The area of Square T is equal to the sum of the areas of Square R and Square S.

The area of a square is the same as the area of a circle. The perimeters of the circle and square are in the ratio. The area of a square is the same as the area of a circle. The perimeters of the circle and square are in the ratio.

To find the area of a rectangle or a square you need to multiply the length and the width of a rectangle or a square. Area, A, is x times y.

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Answer:

Step-by-step explanation:

We would set up the hypothesis test.

For the null hypothesis,

p = 0.35

For the alternative hypothesis,

p > 0.35

This is a right tailed test considering the > in the alternative hypothesis.

Considering the population proportion, probability of success, p = 0.35

q = probability of failure = 1 - p

q = 1 - 0.35 = 0.65

Considering the sample,

Sample proportion, P = x/n

Where

x = number of success = 42

n = number of samples = 100

P = 42/120 = 0.42

We would determine the test statistic which is the z score

z = (P - p)/√pq/n

z = (0.42 - 0.35)/√(0.35 × 0.65)/100 z = 1.48

The test statistic for the hypothesis test, given a sample proportion of 0.42, hypothesized population proportion of 0.35, and sample size of 100 students, is calculated to be 1.47.

To calculate the test statistic for the hypothesis test, we use the formula for testing a proportion:

Using the given numbers, we have:

Now we calculate the standard error:

SE = \(\sqrt{\frac{0.35(1-0.35)}{100}}\) = \(\sqrt{\frac{0.35(0.65)}{100}}\) = \(\sqrt{\frac{0.2275}{100}}\) = 0.0477.

Then we calculate the z-score:

z = \(\frac{0.42 - 0.35}{0.0477}\) = \(\frac{0.07}{0.0477}\) = 1.47.

The value of the test statistic for this hypothesis test is 1.47.

Answer:

[tex]Percentage\hspace{3}error\approx 1.96\%[/tex]

Step-by-step explanation:

The error percentage is a measure of how inaccurate a measurement is, standardized based on the size of the measurement. It can be easily calculated using the following formula:

[tex]Percentage\hspace{3}error=|\frac{v_A-v_E}{v_E} | \times 100[/tex]

Where:

[tex]v_A=Approximate\hspace{3}value\\v_E=Exact\hspace{3}value[/tex]

Therefore, according to the data provided by the problem:

[tex]v_A=15.6\\v_E=15.3[/tex]

The percentage error is:

[tex]Percentage\hspace{3}error=|\frac{15.6-15.3}{15.3}| \times 100 = 1.960784314\%\approx 1.96\%[/tex]

Answer:

$[tex]74.37[/tex]

Step-by-step explanation:

To figure out how much is left in his checking account, simply subtract the amount he took out.

[tex]124 -13.96 = 110.04[/tex]

[tex]110.04 - 21.67 =88.37[/tex]

[tex]88.37 - 14= 74.37[/tex]

$[tex]74.37[/tex] is left in his checking account.

Answer:

$102.37

Step-by-step explanation:

Todd has $124 to begin with

He writes two checks (subtract) $13.96 & $21.67

Then he removes $14.00 from his savings & places it into his Checking. (Adding) it to his checking account balance

$124-13.96-21.67+14 = $102.37

Answer:

y = 15x

Step-by-step explanation:

The biggest giveaway here is the other answers have + a whole number at the end of the equation. We would see this + as a y-intercept on the graph.

Since our line had no y-intercept and starts from zero, y =15x can be used to represent the graph shown

Another way to know this is to look at the points marked on the line. There is a point at (2, 30). By plugging these co-ordinated into y = 15x we get 30 = 30, which makes sense

Answer:

y=15x

Step-by-step explanation:

because the y-intercept is 0, y=15x is the only choice that has y intercept 0