A pair of dice was rolled many times
and the results appear below. Based
upon these results, what is the
experimental probability of rolling a
multiple of 3?
7
8
9
10 11 12
Outcome 23
35 6
Frequency 3 6 8 11 14
16
15
12
9
5 1

Answer:

41

Explanation:

To solve this problem we must first understand what the pattern is in the arithmetic sequence. Once we understand the pattern, we can then apply it to the final known term to find the next term.

Take a look at the arithmetic sequence given:

9, 17, 25, 33,...

Let's start by figuring out how they got the second term in the sequence. To do that, subtract the second term by the first term. This will reveal the pattern.

9 - first term

17 - second term

17 - 9 = 8

So, this means they added eight to get the next term. Therefore, the pattern should be 'add eight' to get the next term. Just to be sure the pattern we found is correct, apply it to the given arithmetic sequence.

9, 17, 25, 33,...

9 + 8 = 17

17  + 8 = 25

25 + 8 = 33

So, since 'adding eight' every time gives us the next term, the pattern is correct.

Finally, let's continue the pattern to find the next term.

9, 17, 25, 33,...

33 + 8 = 41

9, 17, 25, 33, 41,...

Therefore, the next term in the arithmetic sequence is 41.

Answer:

[tex]x=4[/tex]

Step-by-step explanation:

[tex]4x + 4 = -7 +2x +19[/tex]

[tex]4x + 4 = 2x +12[/tex]

[tex]4x-2x=12-4[/tex]

[tex]2x=8[/tex]

[tex]x=8 \div 2[/tex]

[tex]x=4[/tex]

Step 1: Simplify both sides of the equation.

4x+4=−7+2x+19

4x+4=(2x)+(−7+19)(Combine Like Terms)

4x+4=2x+12

4x+4=2x+12

Step 2: Subtract 2x from both sides.

4x+4−2x=2x+12−2x

2x+4=12

Step 3: Subtract 4 from both sides.

2x+4−4=12−4

2x=8

Step 4: Divide both sides by 2.

2x/2 = 8/2

Description:

The first step is to Simplify both sides of the equation, when you do it correct and follow the steps above you equation will end up 4x+4=2x+12. For steps 2 Subtract 2x from both sides, when you do it correct your equation will end up like 2x+4=12. For step 3 you  Subtract 4 from both sides, when you do it correct equation will end up like 2x=8. Last step is to Divide both sides by 2, when you do it correct your answer will come as x=4 .

Answer:  x=4

Please mark brainliest

Hope this helps.

Answer:

5.75 ft ≈ 6 ft

2.47 ft ≈ 2 ft

perimeter of the rectangular counter top  = 16 ft

Step-by-step explanation:

The counter top he is installing is a rectangular piece of quartz that is 5.75 ft long and 2.47 ft wide. The length and the width can be rounded off to the nearest whole number as follows.

length = 5.75 ft to the nearest whole number will be 6 ft

width = 2.47 ft to the nearest whole number will be 2 ft

The logic in rounding off the number to the nearest whole number is that the value on the left hand side of the decimal is rounded off to an integer. If the number at the right hand side of the number is greater or equal to 5 we borrow 1 and add to the left hand side number of the decimal number.

Therefore,

Perimeter of the rectangle = 2l + 2w

perimeter of the rectangle = 2 × 6 + 2 × 2

perimeter of the rectangle = 12 + 4

perimeter of the rectangle = 16 ft

The different transformations have been matched to their respective operations below.

Parent function is given as: f(x) = 2x - 6

Thus, the transformations are:

When f(x) shifts 4 units down, we have;

f(x) → f(x) - 4

⇒ g(x)= 2x - 6 - 4 = 2x - 10

When it stretches f(x) by a factor of 4 away from the x-axis;

f(x) → 4*f(x)

⇒ g(x) = 4(2x - 6) = 8x - 24

When it shifts f(x) 4 units right;

f(x) → f(x - 4)

⇒ g(x) = 2(x - 4) - 6 = 2x - 14

When it compresses f(x) by a factor of 4 toward the y-axis;

f(x) → f(4x)

⇒ g(x) = 2*4x - 6 = 8x - 6

Read more about Transformations at; https://brainly.com/question/4289712

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Answer:

[tex] |T- 98.6| \geq 3[/tex]

And in order to solve this we have two possibilities:

Solution 1

[tex] T -98.6 \leq -3[/tex]

And solving for T we got:

[tex] T \leq 98.6- 3[/tex]

[tex] T\leq 95.6[/tex]

Solution 2

And the other options would be:

[tex] T -98.6 \geq 3[/tex]

[tex] T \geq 101.6[/tex]

Step-by-step explanation:

For this case we can define the variable os interest T as the real temperature and we know that if we are 3 F more than the value of 98.6 we will be unhealthy so we can set up the following equation:

[tex] |T- 98.6| \geq 3[/tex]

And in order to solve this we have two possibilities:

Solution 1

[tex] T -98.6 \leq -3[/tex]

And solving for T we got:

[tex] T \leq 98.6- 3[/tex]

[tex] T\leq 95.6[/tex]

Solution 2

And the other options would be:

[tex] T -98.6 \geq 3[/tex]

[tex] T \geq 101.6[/tex]

Answer:

combination

Step-by-step explanation:

We have that permutations are groupings in which the order of the objects matters. Combinations are groupings where content matters but order does not.

In this case we have a list of ingredients for the pizza, therefore the order does not matter as long as the ingredients are indicated, which means that this is an example of a combination.

Answer:

5y + 8 < 23  and y < 3

2c - 3 = 9

Step-by-step explanation:

She bought a jewelry at a craft fair . The necklace is $8 and the bracelet is $5 each. Her total expenses is $23.

She bought a single necklace. The number of bracelet she bought is unknown but each of the bracelet she bought is $5 each. The number of bracelet she bought can be represented below.

Let

y = number of bracelet bought

Therefore, the cost of the total number of bracelet will be 5y

Recall the total expenses is $23

5y + 8 < 23  and y < 3

if you insert the value of y in the following inequalities the resulting value should be less than 23 so the value of y should be less than 3.

2. 2c - 3 = 9

Answer:

(7, 64.33)

Step-by-step explanation:

For a woman suspect whose shoe size was found at the crime scene, the equation which can be used to predict the estimated height is given as:

[tex]y=1.19x+56,$ where:\\x = woman's shoe size\\ y= the estimated likely height of the woman in inches.[/tex]

(a)Let x=7

Then:  y =1.19(7)+56=64.33

An ordered pair that is a solution to the function is (7, 64.33)

(b) The estimated height of a woman who is of shoe size 7 is 64,33 inches.

Answer:

42,996

Step-by-step explanation:

3*16+4*25+2*33=48+100+66=214

Answer:

(See explanation below for further details)

Step-by-step explanation:

Any point in rectangular form can be described in terms of radius and angle of the circle. That is:

[tex]P = (r\cdot \cos \theta, r\cdot \sin \theta)[/tex]

Since circunference is divided into 8 equal parts, the point can be modelled as:

[tex]P = (r\cdot \cos \frac{2\pi\cdot n}{8}, r \cdot \sin \frac{2\pi\cdot n}{8} )[/tex]

The approximate radian and degree values for one circle are:

Radians

[tex]0 (0), \frac{\pi}{4} (0.785), \frac{\pi}{2} (1.571), \frac{3\pi}{4} (2.355), \pi (3.142), \frac{5\pi}{4} (3.925), \frac{3\pi}{2} (4.71), \frac{7\pi}{4} (5.495), 2\pi (6.280)[/tex]

Degrees

[tex]0^{\circ}, 45^{\circ}, 90^{\circ}, 135^{\circ}, 180^{\circ}, 225^{\circ}, 270^{\circ}, 315^{\circ}, 360^{\circ}[/tex]

Answer:

Beginning Cash balance was $4,640.

Step-by-step explanation:

Net cash flow from operating activities =      $19,600

Net cash flow used in investing activities = ($10,800)

Net cash provided by financing activities =  $12,960

Net increase in cash                                      $21,760

Beginning cash balance = Closing balance  ($26,400) less net increase in cash ($21,760)  = $4,640

The increase in cash represents the cash that was generated from operating, investing, and financing activities.  These three activities are the classifications of an entity's activities.  Operating activities are those activities that are normal to the business, i.e. activities the business undertakes under its mission.  The investing activities arise from the purchase and sale of investments.  These are not normal activities of most entities, except investment companies.  Financing activities are activities engaged by an entity to raise finance, including the repayment of the borrowed funds plus interest.

Answer:

An acute angle is an angle that has a measure that is less than 90 degrees. Any measure that is less than 90 degrees could be an acute angle. For example, 8°, 15°, °26°, and 89° are all acute angles. Anything that is 90 degrees is a right angle and greater than 90 degrees is an obtuse angle. An acute angle can have all of the following measures except 90 degrees or greater than 90 degrees.

Answer:

0 is not an acute angle

Step-by-step explanation:

if the measurement of an angle is between 0 and 90 degrees then we called it an acute angle. it means acute angle is greater than 0 and less than 90 degrees. among the the other options it is between 0 and 90 therefore 0 is not it

hope this helps

Answer:

A

Step-by-step explanation:

Since chi-squared calculated value is greater than p-value, there is a relationship between vaccine location and severe reaction.

Answer:

Step-by-step explanation:

This survey is testing for an association between the vaccine location and severe reactions using the chi-square test of independence.

Null hypothesis: Vaccine location and severe reactions are independent

Alternative: Vaccine location and severe reactions are not independent

With a chi square test statistic of 2.0609 with a P value of 0.1511. Using the p- value in comparison to either α = 0.05 or 0.01, the pediatricians can fail to reject the null as the p-value is greater than 0.05 or 0.01 and can conclude that there is a statistically significant association between vaccine location and severe reaction.

This approach was appropriate because the sampling method was simple random sampling, the variables that were under study were categorical, and the expected frequency count was at least 5 in all values to be able to reach  value of 283 and 289.

Answer:

x= 7/4

Step-by-step explanation:

Find the LCM for x-2,x+3,x^2+x-6 which is (x-2) (x+3)

then multiply

Answer:

18

Step-by-step explanation:

Even if we both break down tonight

And you say you hate me

And we go to bed angry

I know everything will be alright

I'll be here waiting

I promise I'm changing

I just need

A little time to show you I'm worth it

I know that I can be a difficult person

I'm a stress case drive you up the wall when I'm workin'

Actually I'm prolly worse when I'm not you don't deserve it

Make you nervous 'cause you know I'ma break soon

Every time I do I say something that hurts you

Actin' like I'm gone, but we both in the same room

I don't like to be wrong which I know you relate to

And I know I make you feel like you're at the end of your road

That's when I look at you and tell you I'd be better alone

That's just the pride talkin' isn't it cause both of us know

Answer:

12x2

Step-by-step explanation:

Step-by-step explanation:

wait a person was about to report it sorry ;/

had to take it off

Answer:

(19-3)*5 = 80

Step-by-step explanation:

(19-3)*5 = 80

Parentheses first

16*5 = 80

80

Answer: (19 - 3) * 5 = 80

Check to see if this is right.

(19 - 3) * 5 = 80

16 * 5 = 80

80 = 80

Best of Luck!

Answer:

Population: all company employees.

Sample: arrival times of the employees during the data collection.

Step-by-step explanation:

In this case, the population is the group about which the company wants to estimate a parameter (proportion of employees who are at least 1 minute late for work). This group is all employees of the company.

The sample is comprised of the arrival times of the individuals who went to work during the data collection by the entry time recording machine. The proportion of the sample is calculated on these arrival times, with which the proportion of the population will be inferred.

Answer:

A

Step-by-step explanation:

i got it right on the exam

Answer:

C.

Repeat this experiment with a very large sample of people and calculate the percentage of people who make four correct guesses out of six tries

Step-by-step explanation:

Why I choose the answer c is because for this kind of experiment to determine probability..it needs to be tested on variety of people as different people have different taste issue.

Trying it on one person alone will accumulate much error that will be very hard and uneasy to detect.

Answer:

Step-by-step explanation:

Hello!

The researcher developed a treatment to teach social skills to youth offenders. To test if the treatment is effective in increasing empathy compared to the standard treatment she randomly selected a group of 9 offenders and applied the new treatment and to another group of 9 randomly selected youth offenders, she applied the standard treatment. (Note: the data corresponds to two samples of 9 units each, so I've used those sizes to conduct the test)

At the end of the treatment, she administers BES to measure their empathy levels. Her claim is that the offenders that received the new treatment will have higher BES scores than those who received the standard treatment.

1) Using the records obtained for both groups, she  intends to conduct an independent t-test to analyze her claim.

X₁: BES results of a youth offender treated with the new treatment.

X₂: BES results of a youth offender treated with the standard treatment.

H₀: μ₁ = μ₂

H₁: μ₁ ≠ μ₂

α:0.05

test statistic

[tex]t_{H_0}= -0.32[/tex]

p-value: 0.7517

The p-value is greater than the significance level so the decision is to not reject the null hypothesis. This means that at a 5% significance level you can conclude that there is no difference between the mean BES scores of the youth offenders treated with the new treatment and the mean BES score of  the youth offenders treated with the standard treatment. The new treatment doesn't increase the levels of social empathy of the youth offenders.

I hope this helps

(Box plot in attachment)

Answer:

B. h(x) = 2x^2 - 3x + 3

Step-by-step explanation:

Given

f(x)=3x+5

g(x)=2x^2 - 6x - 2

h(x) is sum of the functions f(x) and g(x)

Thus,

h(x) = f(x) + g(x)

substituting value of f(x) and g(x) as given above we have

h(x) = 3x+5 + 2x^2 - 6x - 2

as ( 3x - 6x = -3x and 5- 2 = 3) , we have

h(x) = 2x^2 -3x + 3

Thus, correct answer is option  B. h(x) = 2x^2 - 3x + 3.

Answer:

speed = distance ÷ time

6÷2 = 3

his speed is 3 miles per hour

he can cover 3 more miles....

Answer: Liquid B is warmer.

Step-by-step explanation:

The data that we have is:

Temperature A = -105.4° C

Temperature B = -10.83° C

We want to know which liquid is warmer, this is equivalent to see which temperature is bigger, Ta or Tb.

Now, you can see that temperature A is larger in module, but this is a negative number.

When we work with negative numbers, the bigger ones are the ones closer to zero. This means that for example, -1 is larger than - 150.

From this, we can conclude that Liquid B is warmer.

Another way to see it is with a change of units.

If we have A degrees Celcius, and we want to to transform it into Kelvins, we must add 273.15°.

Then we have:

Ta = (-105.4° + 273.15°) K = 167.75 K

Tb = (-10.83 ´273.15°) = 262.35 K

where you can see that liquid B has a larger temperature.

Answer:

Liq A= -105.4ºC < LiqB= -10.83ºC

Step-by-step explanation:

Hello!

The easiest and quickest way to compare two negative values and determine which one is greater is by sorting them in a number line. (Check attachment)

You can also compare the absolute value of the temperature measurements. |10.83| < |105.4|. As the negative value decrease, the absolute value increases.

So the temperature of Liquid B > Temperature of liquid A.

I hope this helps!

Answer:

So the z-scores that separate the unusual IQ scores from those that are​ usual are Z = -2 and Z = 2.

The IQ scores that separate the unusual IQ scores from those that are​ usual are 84 and 148.

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this question, we have that:

[tex]\mu = 116, \sigma = 16[/tex]

What are the z scores that separate the unusual IQ scores from those that are​ usual?

If Z<-2 or Z > 2, the IQ score is unusual.

So the z-scores that separate the unusual IQ scores from those that are​ usual are Z = -2 and Z = 2.

What are the IQ scores that separate the unusual IQ scores from those that are​ usual?

Those IQ scores are X when Z = -2 and X when Z = 2. So

Z = -2

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]-2 = \frac{X - 116}{16}[/tex]

[tex]X - 116 = -2*16[/tex]

[tex]X = 84[/tex]

Z = 2

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]2 = \frac{X - 116}{16}[/tex]

[tex]X - 116 = 2*16[/tex]

[tex]X = 148[/tex]

The IQ scores that separate the unusual IQ scores from those that are​ usual are 84 and 148.

Answer:

[tex]\mu -2*\sigma = 116-2*16= 84[/tex]

[tex]\mu +2*\sigma = 116+2*16= 148[/tex]

Step-by-step explanation:

We know that the distirbution for the IQ have the following parameters:

[tex]\mu=116, \sigma=16[/tex]

The z score is given by this formula

[tex] z = \frac{X -\mu}{\sigma}[/tex]

And replacing the limits we got:

[tex] X = \mu \pm z \sigma[/tex]

For this case we know that a value to be unusual if its z score is less than minus2 or greater than​ 2, so then we can find the limits with this formulas:

[tex]\mu -2*\sigma = 116-2*16= 84[/tex]

[tex]\mu +2*\sigma = 116+2*16= 148[/tex]

Answer:

1) Binomial distribution with n=5 and p=0.84.

2) Attached. Skewed.

3) C. Skewed right

4) The values 0 and 1 would be unusual because the associated probabilities are lower than 0.3%.

Step-by-step explanation:

1) A binomial distribution for this case can be constructed with the parameters n=5 and p=0.84.

The probability of k adults from the sample respond Yes is:

[tex]P(x=k) = \dbinom{n}{k} p^{k}(1-p)^{n-k}=\dbinom{5}{k} 0.84^{k}\cdot 0.16^{5-k}[/tex]

[tex]P(x=0) = \dbinom{5}{0} p^{0}(1-p)^{5}=1*1*0.0001=0.0001\\\\\\P(x=1) = \dbinom{5}{1} p^{1}(1-p)^{4}=5*0.84*0.0007=0.0028\\\\\\P(x=2) = \dbinom{5}{2} p^{2}(1-p)^{3}=10*0.7056*0.0041=0.0289\\\\\\P(x=3) = \dbinom{5}{3} p^{3}(1-p)^{2}=10*0.5927*0.0256=0.1517\\\\\\P(x=4) = \dbinom{5}{4} p^{4}(1-p)^{1}=5*0.4979*0.16=0.3983\\\\\\P(x=5) = \dbinom{5}{5} p^{5}(1-p)^{0}=1*0.4182*1=0.4182\\\\\\[/tex]

2) The graph is attached.

The shape is skewed to the right. This is due to the value of p being close to 1.

The sample space is [0,1,2,3,4,5] and the biggest values have the highest probabilities.

3) The shape is skewed right.

4) The values 0 and 1 would be unusual because the associated probabilities are lower than 0.3%.

The value k=2 can also be considered unusual as it has an associated probability of 2.8%.

Answer:

Option B.

Step-by-step explanation:

Let the radius of the snare drum = r

and radius of the model = R

Ratio of the dimensions of the snare drum and the model = 1 : 4

So, [tex]\frac{r}{R}=\frac{1}{4}[/tex]

Now as per question, dimensions of the snare drum is multiplied by a scale factor of [tex]\frac{1}{2}[/tex]

Radius of the snare drum = [tex]\frac{r}{2}[/tex]

Ratio of the radius of the snare drum and cylindrical model ,

[tex]\frac{\frac{r}{2}}{R} =\frac{1}{4}[/tex]

[tex]\frac{r}{2R}=\frac{1}{4}[/tex]

[tex]\frac{r}{R}=\frac{1}{2}[/tex]

Therefore, the cylinder with Sara's dimensions will be geometrically similar but the scale factor will be 1 : 2

Option B is the answer.