For adults in the town of Bridgeport, systolic blood pressure is normally distributed with a mean of 134 mmHg and a standard deviation of 9 mmHg. What percentage of adults in the town have a systolic blood pressure less than 125 mmHg?

Answer:

sorry i cant

Step-by-step explanation:

my eyes hurt reading this

good luck to whoever solves this

To solve this problem, we can set up a system of equations using the information given and solve it using the substitution method.

To solve this problem, we can set up a system of equations using the information given. Let's call the two numbers x and y.

From the given information, we can write:

x + y = 9 (equation 1)

x - y = 5 (equation 2)

To solve this system, we can use the method of substitution or elimination. Let's solve it using the substitution method:

From equation 2, we can isolate x by adding y to both sides:

x = y + 5

Now substitute this expression for x in equation 1:

(y + 5) + y = 9

Combine like terms:

2y + 5 = 9

Subtract 5 from both sides:

2y = 4

Divide both sides by 2:

y = 2

Now substitute this value for y in equation 1:

x + 2 = 9

Subtract 2 from both sides:

x = 7

So, the two numbers are 7 and 2.

Answer:

The Null Hypothesis is  [tex]H_o:k_o = 0.07[/tex]

The alternative hypothesis is  [tex]H_a :k_o \ne 0.07[/tex]

Decision rule

    If the test staistics is  greater than the critical value of significance level then [tex]H_o[/tex] is accepted else [tex]H_o[/tex]  is rejected

With the above in mind

       The critical value of the significance level which is obtained from the table is

     [tex]t_{0.05} = 1.645[/tex]

Now since the critical value of significance level is greater than the test  staistics then the null hypothesis will be rejected

Conclusion

The information is not enough to back the claim that state differs from the nation

Step-by-step explanation:

From the question we are told that

The percentage of US female workers paid at the minimum wage or less is  [tex]k_o =[/tex] 7% = 0.07

  The sample size is  [tex]n = 500[/tex]

    The number paid minimum wage or less is  x = 42

    The significance level is [tex]\alpha =[/tex]5%  = 0.05

Now the probability of getting a US female workers paid at the minimum wage or less is mathematically represented as

         [tex]\= k = \frac{x}{n}[/tex]

substituting value

        [tex]\= k = \frac{42}{500}[/tex]

        [tex]\= k = 0.084[/tex]

The Null Hypothesis is  [tex]H_o:k_o = 0.07[/tex]

The alternative hypothesis is  [tex]H_a :k_o \ne 0.07[/tex]

Generally the test statistics is mathematically evaluated as

        [tex]z = \frac{\= k - k_o}{\sqrt{\frac{k_o(1-k_o)}{n} } }[/tex]

substituting value

      [tex]z = \frac{0.084 - 0.07}{\sqrt{\frac{0.07 (1-0.07)}{500} } }[/tex]

     [tex]z = 1.23[/tex]

Now the Decision rule is stated as  

        If the test staistics is  greater than the critical value of significance level then [tex]H_o[/tex] is accepted else [tex]H_o[/tex]  is rejected

With the above in mind

       The critical value of the significance level which is obtained from the table is

     [tex]t_{0.05} = 1.645[/tex]

Now since the critical value of significance level is greater than the test  staistics then the null hypothesis will be rejected

   So the conclusion will be

   The information is not enough to back the claim that state differs from the nation

Answer:

b

Step-by-step explanation:

all the options reflect the college's official's ability ot generalize the survey results except b. Option b represents a particular group of the total population.

The ability to generalize survey results is compromised when the survey is biased, the sample size is inadequate relative to the population, or the response rate is low. Each of the listed issues affects the generalizability of the survey outcome, with specific concerns in terms of sample representativeness and potential biases.

The question concerns the ability to generalize survey results to a larger population of dormitory students. Options a, b, and c each presents issues related to sample representativeness and survey methodology, which can affect the college official's ability to generalize findings.

Option a suggests that the sample may be too small relative to the total population. However, a random sample of 500 can theoretically represent 5,000 students well if selected appropriately. Option b indicates a selection bias because only first-year students were surveyed, which does not reflect the entirety of dormitory residents.

Option c points to a low response rate, which can result in nonresponse bias if the 160 respondents have different preferences than those who did not respond.

Answer:

  33 ft

Step-by-step explanation:

In a diagram of the geometry, you see that the angle of elevation is opposite the triangle leg representing the tree height, and is adjacent to the triangle leg representing distance from the tree.

The tangent ratio relates these lengths to the angle:

  Tan = Opposite/Adjacent

  Opposite = Adjacent×Tan

  tree height = (47 ft)tan(35°) ≈ 33 ft

The height of the tree is about 33 feet.

i can't make a model, but the answer is 11167.79

The question is incomplete! Complete question along with answer and step by step explanation is provided below.

Question:

The following table shows the number of comments on each of Omar's 9 most recent social media posts.

0 2 8

7 0 0

0 6 4

Based on this data, what is a reasonable estimate of the probability that Omar's next post will get no  comments?

Answer:

P(0) = 44.4%

Step-by-step explanation:

We are given the number of comments on each of Omar's 9 most recent social media posts.

We want to find the probability that Omar's next post will have 0 comments.

We know that probability is given by

P(0) = No. of desired outcomes/No. of total outcomes

From the above data we know that total number of outcomes are 9.

Now count the number of times Omar got 0 comments.

These are the desired outcomes.  (4 times)

Therefore, the probability of getting 0 comments is

P(0) = 4/9

P(0) = 0.444

P(0) = 44.4%

Answer:

4/9.

Step-by-step explanation:

I know where you get these questions from ;)

Answer:

351.68

Step-by-step explanation:

c = 2πr

c = 2(3.14)(56)

c = 6.28(56)

c = 351.68

Answer:

Step-by-step explanation:

Answer:

y=-3x2 - 12x+6 ,     x = -(-12)/2*3 = 2  this one has axis of symmetry  x = 2

Step-by-step explanation:

y = 3x² + 12x+6  :    x = -12/6 = -2

y = 3x2 - 6x+12 ,    x = -(-6)/2*3 = -1

y=-3x2 - 12x+6 ,     x = -(-12)/2*3 = 2  this one

y=-3x2 + 12x+6 ,   x = -12/2*3 = -2

Answer:

the answer is answer b, or 30.83ft

Step-by-step explanation:

Answer:

Area: 48 sq. units

Perim: 28 units

Step-by-step explanation:

The distance between (-4, 3) and (-4,-3) is 6. The distance between (-4,-3) and (4,-3) is 8. So, 6 x 8 is 48, and that is the area.

6, 6, 8, and 8 are the lengths, so add those up to find the perimeter and you get 28.

Answer:

96 apples

Step-by-step explanation:

100-4=96

Answer:

96

Step-by-step explanation:

Bruh just subtract 4 from 100 like seriously XD

Answer:

  0

Step-by-step explanation:

Using Descartes' rule of signs, we observe that the signs of the coefficients, + - +, have two changes. Thus there will be 0 or 2 positive real roots, hence 0 or 2 complex roots.

We can do further work to determine if it is 0 or 2. A graphing calculator provides an easy answer.

This function of x has no complex zeros. They are all real.

_____

For a cubic, it isn't always easy to find the zeros. The rational root theorem tells you any rational zeros will be factors of 30. Possibilities are ...

  ±1, ±2, ±3, ±5, ±6 . . . . . we're pretty sure no roots have magnitude > 6

For x=0, y = 30 . . . . the constant

For x=1, y = 12 . . . . . a smaller value, so we're going in the right direction

For x=2, y = 0 . . . . . one of the real roots

Dividing out this factor*, we get ...

  y = (x -2)(x^2 +2x -15)

Factoring the quadratic gives ...

  y = (x -2)(x -3)(x +5) . . . . . . all real zeros

_____

* For dividing x^3 -19x +30, synthetic division works well. The work for that is shown in the second attachment.

Answer:

The radius of hole is 5 feet

Step-by-step explanation:

Depth of conical hole = 9 feet

Let the radius of hole be r

Volume of conical hole =[tex]\frac{1}{3} \pi r^2 h[/tex]

So, Volume of conical hole =[tex]\frac{1}{3} \pi \times r^2 \times 9[/tex]

We are given that volume of a CONE-shaped hole is 75pi ft cubed.

So,[tex]\frac{1}{3} \pi \times r^2 \times 9=75 \pi[/tex]

[tex]\frac{1}{3} \times r^2 \times 9=75[/tex]

[tex]r^2=\frac{75 \times 3}{9}[/tex]

[tex]r=\sqrt{\frac{75 \times 3}{9}}[/tex]

r=5

Hence The radius of hole is 5 feet

Answer:

John had $572 in his savings account.

Step-by-step explanation:

Let the total amount John took from his savings account be T.

He spent $52. That means he has $(T - 52) left.

He then spent 1/2 of what was left on presents for his friends. That is:

[tex]\frac{1}{2} * (T - 52) = \frac{T - 52}{2}[/tex]

Which means he is left with another half of what was left, that is, [tex]\frac{T - 52}{2}[/tex]

Of the money remaining, John put 4/13 into checking account.

This means that he is left with 9/13 of [tex]\frac{T - 52}{2}[/tex].

We are told that this is equivalent to the last remaining $180 that John left to charity.

=> [tex]\frac{9}{13} * \frac{T - 52}{2} = 108[/tex]

Hence:

[tex]\frac{9(T - 52)}{13 * 2} = 180\\\\9(T - 52) = 180 * 13 * 2\\\\9(T - 52) = 4680\\\\T - 52 = \frac{4680}{9} = 520\\\\[/tex]

=> T = 520 + 52 = $572

Hence, John took $572 from his savings account. Since this is all he had in his savings account, John had $572 in his savings account.

Working backward, we determined that John originally had $572 in his savings account before spending on the radio, presents, putting money into his checking account, and giving to charity.

To solve this mathematics problem, we need to work backward from the information provided. John spent $52 on a radio and then spent half of the remaining amount on presents. After that, he put 4/13 of the remaining money into his checking account and then gave $180 to charity. Let's represent the original amount of money John had as x.

After buying the radio, John had x - $52 left. He then spent half on presents, so he had (x - $52)/2 remaining. After putting 4/13 of what was left into his checking, the equation becomes ((x - $52)/2) * (9/13) since 9/13 is the complement of 4/13, which goes into the checking account. This amount equaled the last remaining $180.

The equation to find the original amount x is:
(((x - $52) / 2) * (9/13)) = $180

Now solve for x:

So, the original amount of money John had was $572.

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The final result is 17 hours and 50 minutes, or in military time format, 1750.

To subtract the military times 2330 and 0540, we can approach it as a regular subtraction problem, but we need to borrow from the hour when the minutes in the subtrahend (0540) are larger than the minutes in the minuend (2330). Since military time is on a 24-hour clock, we treat 2330 as 23 hours and 30 minutes, and 0540 as 5 hours and 40 minutes.

Step 1: Since we cannot subtract 40 minutes from 30 minutes, we need to borrow 1 hour from the 23 hours, converting it to 22 hours and 90 minutes.

Step 2: Now we subtract the minutes: 90 minutes - 40 minutes = 50 minutes.

Step 3: Then we subtract the hours: 22 hours - 5 hours = 17 hours.

So, the final result is 17 hours and 50 minutes, or in military time format, 1750.

Answer:

Check the explanation

Step-by-step explanation:

(a)Let p be the smallest prime divisor of (n!)^2+1 if p<=n then p|n! Hence p can not divide (n!)^2+1. Hence p>n

(b) (n!)^2=-1 mod p now by format theorem (n!)^(p-1)= 1 mod p ( as p doesn't divide (n!)^2)

Hence (-1)^(p-1)/2= 1 mod p hence [ as p-1/2 is an integer] and hence( p-1)/2 is even number hence p is of the form 4k+1

(C) now let p be the largest prime of the form 4k+1 consider x= (p!)^2+1 . Let q be the smallest prime dividing x . By the previous exercises q> p and q is also of the form 4k+1 hence contradiction. Hence P_1 is infinite

Answer:

12 feet.

Step-by-step explanation:

Note that by definition of a square, all side measurements are the same (as all sides are congruent).

You can solve the area of square by using the following equation:

A (square) = s²

A (square) = side x side.

Plug in 9 for A in the equation:

9 = s²

Isolate the variable, s. Root both sides:

√9 = √s²

s = √9 = √(3 * 3) = 3

One side of the square is 3 feet.

Next, solve for the perimeter. A square has 4 congruent sides, so multiply 3 with 4:

3 x 4 = 12 feet

12 feet is your answer.

~

Answer:

A one-sample t-interval for a population mean

Step-by-step explanation:

As the question is "How many minutes per day, on average, do you spend visiting social media sites?", the answer will be in a numerical form (number of hours, positive integer or real number).

As this is not a proportion, the option "A one-sample t-interval for a population mean" is discarded.

As the study does not defined another variable to compare in pairs, it is not a matched-pairs test. Option "A matched-pairs t -interval for a mean difference" discarded.

There are not two means in the study, so there is no "difference between means" variable. Options "A two-sample z-interval for a difference between proportions" and "A two-sample t-interval for a difference between means".

This should be a  one-sample t-interval for a population mean, as there is only one sample, one population mean and the population standard deviation is not known.

The required correct statement 'A one-sample t-interval for a population mean'.

We have to determine, Which of the following is the most appropriate inference procedure for the sociologist to use?

According to the question,

The sociologist wants to estimate the average total number of minutes spent on social media per day in the population.,

A random sample of 50 high school students was selected,

And they were asked, “How many minutes per day, on average, do you spend visiting social media sites.

The answer will be in a numerical form (number of hours, positive integer or real number).

The time spent on social media keeps increasing. it can deduce as at now that trending social media platforms take much of the time spent on social media.

On average, spend 240 minutes per day on social media sites. As New social media handles keep coming,

As the given condition is not a proportion, the option "A one-sample t-interval for a population mean" is discarded.

The study does not defined another variable n difference" discarded.

There are not two means in the study, so there is no "difference between means" variable.

"A two-sample z-interval for a difference between proportions" and "A two-sample t-interval for a difference between means".

This should be a one-sample t-interval for a population mean, as there is only one sample, one population mean and the population standard deviation is not known.

Hence, The required correct statement 'A one-sample t-interval for a population mean'.

To know more about Sample space click the link given below.

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The width of the arch at floor level is 5 feet.

The equation given to model the archway to the entrance of an art gallery is y = -}(x - 5)(x + 5). To find the width of the arch at floor level, we need to find the x-values that correspond to y = 0. Setting y = 0 and solving for x, we get:

0 = -}(x - 5)(x + 5)

0 = (x - 5)(x + 5)

Using the zero product property, we can separate the equation into two parts:

x - 5 = 0 and x + 5 = 0

Solving each equation separately, we get:

x = 5 and x = -5

Therefore, the width of the arch at floor level is 5 feet.

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The width of the arch at floor level is the distance between these points, which is 10 feet (5 - (-5) = 10).

The archway to the entrance of an art gallery is modeled by the equation y = -1(x - 5)(x + 5). To find the width of the arch at floor level (y = 0), we need to determine the x-intercepts of the equation.

1. Set y = 0 in the equation: 0 = -1(x - 5)(x + 5).

2. This simplifies to (x - 5)(x + 5) = 0.

3. Setting each factor to zero, we get x - 5 = 0 or x + 5 = 0.

4. Solve these equations for x: x = 5 or x = -5.

The x-intercepts are -5 and 5.

Therefore, the width of the arch at floor level is the distance between these points, which is 10 feet (5 - (-5) = 10).

Answer:

[tex]P(X=0)=(15C0)(0.5)^0 (1-0.5)^{15-0}=0.0000305[/tex]

[tex]P(X=1)=(15C1)(0.5)^1 (1-0.5)^{15-1}=0.000457[/tex]

[tex]P(X=2)=(15C1)(0.5)^2 (1-0.5)^{15-2}=0.00320[/tex]

And adding the results we got:

[tex] P(X<3) =P(X \leq 2) = 0.0036875[/tex]

Step-by-step explanation:

We can define the variable of interest s X representing the number of correct questions for the exam. and we can model this random variable with a binomial distribution. The probability of select the correct answer would be [tex]p =\frac{1}{2}[/tex] since is a true/false question.

[tex] X \sim Binom (n =15, p=0.5[/tex]

And we want to find this probability:

[tex]P(X <3)= P(X\leq 2)=P(X=0) +P(X=1) +P(X=2)[/tex]

The probability mass function for the Binomial distribution is given as:

[tex]P(X)=(nCx)(p)^x (1-p)^{n-x}[/tex]

Where (nCx) means combinatory and it's given by this formula:

[tex]nCx=\frac{n!}{(n-x)! x!}[/tex]

And we want to find this probability:

[tex]P(X \leq 2)=P(X=0)+P(X=1)+P(X=2)[/tex]

We can find the individual probabilities and we got:

[tex]P(X=0)=(15C0)(0.5)^0 (1-0.5)^{15-0}=0.0000305[/tex]

[tex]P(X=1)=(15C1)(0.5)^1 (1-0.5)^{15-1}=0.000457[/tex]

[tex]P(X=2)=(15C1)(0.5)^2 (1-0.5)^{15-2}=0.00320[/tex]

And adding the results we got:

[tex] P(X<3) =P(X \leq 2) = 0.0036875[/tex]

3.274 x 10^3 written as an ordinary number is 3274. This is achieved by moving the decimal point three places to the right.

The student's question is asking for a conversion from scientific notation to an ordinary number. This process is simple once you understand what the scientific notation represents. The value 3.274 x 10^3 implies that the decimal point in 3.274 is moved to the right three places because the power of 10 is positive 3.

Therefore to write 3.274 x 10^3 as an ordinary number, we move the decimal point three places to the right starting from where it currently is after the number 3. So, 3.274 becomes 3274.

In concise, 3.274 x 10^3 written as an ordinary number is 3274.

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Answer:

Step-by-step explanation:

Givens

[tex]m(KP)=2m(IP)[/tex]

[tex]m(IVK)=120\°[/tex]

Notice that

[tex]m(KP)+m(IP)+m(IVK)=360\°[/tex], by definition sum of arcs.

Replacing given values, we have

[tex]2m(IP)+m(IP)+120\°=360\°\\3m(IP)=360\° - 120\°\\m(IP)=\frac{240\°}{3}\\ m(IP)=80\°[/tex]

Which means [tex]m(KP)=2(80\°)=160\°[/tex]

Notice that arc KP is the subtended arc by angle KJL.

We know that the angle formed by a tangen and a secant is equal to one-half of the difference of the intercepted arcs.

[tex]m\angle KJL = \frac{1}{2} (m(KP)-m(IP))\\m \angle KJL = \frac{1}{2}(160\° - 80\° )=\frac{1}{2}(80\°)=40\°[/tex]

Therefore, the measure of angle KJL is 40°.

Answer:

26

Step-by-step explanation:

To find the area of a triangle, you simply need to multiply the base by the height and divide by 2. In this case, 13*4/2=26 square centimeters. Hope this helps!

Answer: correct: B. If the null hypothesis is true, one could expect to get a test statistic at least as extreme as that observed 21% of the time, so the test is not statistically significant.

Step-by-step explanation:

the test of the statistical p helps us to find the probability that a statistical value occurs in the null hypothesis, in the exercise we obtain a value of p of 0.21, we assume that for it to have statistical significance the value must be less than 0.05 which is constant, if this result is higher it indicates that there is no statistically significant evidence

Answer:

y = 8.1

Step-by-step explanation:

y+2.9=11

Subtract 2.9 from each side

y+2.9-2.9 = 11-2.9

y =8.1

Step-by-step explanation:

10= - 9 - X

- x - 9 = 10

-× = 10 + 19

-× =19

× = -19

Answer:

C≈15.71cm

Step-by-step explanation:

C=2πr

d=2r

C=πd=π·5≈15.70796cm

The word that describes the four angles formed by the intersection of two perpendicular lines is "right angles" because they each measure 90 degrees and create an L-shaped corner.

The four angles formed by the intersection of two perpendicular lines are often described as "right angles." A right angle measures exactly 90 degrees, and it is the angle at which two lines meet and form a perfect L shape.

Right angles are a fundamental concept in geometry and have many practical applications in everyday life. They are essential in fields such as architecture, engineering, and mathematics. Right angles are known for their symmetry and balance, making them a crucial element in various geometric shapes and constructions.

In summary, the word that describes the four angles formed by the intersection of two perpendicular lines is "right angles" due to their characteristic 90-degree measurement and significance in geometry.

For more such questions on perpendicular lines

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Complete question below :

What word describes the four angles formed by the intersection of two perpendicular lines?

Answer:

See attachment for histogram

Step-by-step explanation:

The histogram shows that the majority of customers have monthly bills between 25 to 29. There is a break between $45-$54 monthly bill as there is no customer with this amount of monthly bill. Then there is one customer between $55-$59 monthly bill.

Final answer:

The histogram of Internet costs shows a concentration between $19-28, with the majority of prices ranging from $23 to $27. It is unimodal and right-skewed with costs spread from $14 to $58, indicating that a smaller number of individuals pay much higher prices for internet access.

Explanation:

To create a histogram of the data on the cost of Internet access using intervals of $5, we will first determine the range of values within each interval:

From the histogram, we can see that the majority of responses fall within the $19-28 range, specifically between $23 and $27. This signifies that most people in the survey pay a moderate price for Internet access. The distribution is unimodal, skewing right, and has a spread from $14 to $58, with a slight concentration of high costs on the right indicating few individuals pay significantly more for internet access.