(a.) t = 6
(b.) t = -10/3
(c.) t = -10
(d.) t = -6

Answer:

34r+48

Step-by-step explanation:

36r+48-2r=34r+48

The probability that both will experience allergies to pollen is 0.0484, and the probability that at least one will is 0.9516.

The following information is provided in the question:

A large country has a pollen allergy rate of about 22%.

As a result, the probability of people has a chance of having an allergy is  0.22.

P(allergic) = 0.22

P(Not allergic) = 1 - 0.22 = 0.78

If A and B are independent even, then,

P(A∩B) = P(A) × P(B)

Two people are randomly selected.

a) P( both will be allergic to pollen)

Since these are independent events,

P(both will be allergic to pollen)= P(allergic)*P(allergic)

= 0.22*0.22 =  0.0484

b) P(at least one person is allergic to pollen)

= 1 - P(both are not allergic to pollen)

= 1 - P(P(not allergic)*P(not allergic))

= 1 - (0.22*0.22)

= 0.9516

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Hello!

the ratio of the angle V = opposite ; hypotenuse

We will therefore use the sine:

sin(V)

= opposite/hypotenuse

= TU/VT

= 12.5/25

= 0.5

arcsin(0.5) = 30°

Answer:

The answer is 14

Step-by-step explanation:

Point A to Point B is 3

Point C to Point D is 3

Point B to Point c is 4

Point D to point A is 4.

Add all those together to get 14

Answer:

the answer is 14

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keep rocking

stay at home stay safe

The actual weight is 0.0042 pounds lighter than the labeled weight.

The actual weight of the chocolates is 0.3798 pounds, while the label on the bag states it should weigh 0.384 pounds. To determine how much lighter the actual weight is, we can calculate the difference between the two weights.

Subtracting the actual weight from the labeled weight, we get:

0.384 pounds - 0.3798 pounds = 0.0042 pounds.

Therefore, the actual weight is 0.0042 pounds lighter than the labeled weight.

It's important to note that this difference may seem small, but it can be significant depending on the context. Accuracy in labeling is crucial for various reasons, such as complying with regulations, providing precise information to consumers, and ensuring fair trade practices. Even minor discrepancies can impact trust and customer satisfaction.

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Answer:

nickel and a quarter

Step-by-step explanation:

One is a nickel, the other is NOT a nickel... it is a quarter.

equal sides of an isosceles triangle are given as 30 cm each if the perimeter of the triangle is 67 cm,find the third sides

Answer:

the third one

Step-by-step explanation:

first you would multiply the mass and the "amu" of both of the isotopes of copper when you have what you multiplyed, you add that product and get your answer.

Answer:

94

Step-by-step explanation:

all angles add up to 180

56+30 = 86

180-86=94

Answer:

A. (x,y) - (2x,2y)

Step-by-step explanation:

Answer:

Below in bold.

Step-by-step explanation:

Minimum 24

Lower quartile 29

Median  43

Upper quartile = (49 + 51) / 2 =  50

Maximum = 56

Interquartile range =  50-29 = 21.

due to my knowledge its 75 because it is.

Step-by-step explanation:

first I thought the angles at Q and P are right angles (90 degrees). but the last part tells me they are not.

so, all the "perpendicular" answers are out.

answer 1 and 2 are all correct but I would pick 2, because it had the most detail that's true.

and since these 2 lines are parallel, the must have the same angles with the crossing line.

therefore, when the angle RQS is 75 degrees, then the angle TPU is also 75 degrees.

Check the picture below.

Answer:

14.1

Step-by-step explanation:

You add all of your numbers up, and then you divide by how many numbers you have.

Yes the given C and D lines are parallel

How to know two lines are parallel lines?

Any two parallel lines that are crossed by a transversal can be recognized by the following characteristics.

The fundamental characteristics listed below make it simple to recognize parallel lines.

as the sum of the given angle c and d i.e. 48+132 is 180 it clearly shows that it is the Pairs of interior angles on the same side of the transversal which proves that the given lines C and D are parallel  

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a. The mean is 26.5, and the standard deviation is 1.154, b. The null hypothesis (H₀) and alternative would state that mean is greater , c- critical value approach is 2.997.

In the above problem given ,

Data: 28, 27, 25, 26, 28, 26, 29, 25

a. Mean:

Mean = (28 + 27 + 25 + 26 + 28 + 26 + 29 + 25) / 8 = 26.5 thousand miles

Standard Deviation:

Calculate the deviation of each value from the mean:

(28 - 26.5), (27 - 26.5), (25 - 26.5), (26 - 26.5), (28 - 26.5), (26 - 26.5), (29 - 26.5), (25 - 26.5)

Calculate the squared deviation of each value:

(28 - 26.5)², (27 - 26.5)², (25 - 26.5)², (26 - 26.5)², (28 - 26.5)², (26 - 26.5)², (29 - 26.5)², (25 - 26.5)²

Calculate the sum of squared deviations:

Sum = (28 - 26.5)² + (27 - 26.5)² + (25 - 26.5)² + (26 - 26.5)² + (28 - 26.5)² + (26 - 26.5)² + (29 - 26.5)² + (25 - 26.5)²

Divide the sum of squared deviations by (n-1), where n is the sample size:

Standard Deviation = √(Sum / (n-1)) = 1.154.

b. Null Hypothesis (H₀): The mean life expectancy of the new tires is 26,000 miles.

Alternative Hypothesis (H₁): The mean life expectancy of the new tires is greater than 26,000 miles.

c. Critical Value Approach:

With a sample size of 8, degrees of freedom (df) = n - 1 = 8 - 1 = 7. From the t-distribution table at a significance level of 0.01 and df = 7, the critical value is approximately 2.997.

Calculate the test statistic t:

t = (Sample Mean - Population Mean) / (Standard Deviation / √n)

d. P-value Approach:

To repeat the test using the p-value approach, we calculate the p-value associated with the test statistic. If the p-value is less than the significance level (0.01), we reject the null hypothesis.

Calculate the t-value using the same formula as in c.

Calculate the p-value using the t-distribution with (n-1) degrees of freedom.

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Divide each side by -23.

X = -5/23 .

In 2D, tt can be extended on other side to any length you deserve. But if you talk of sub tangent, then it has particular length.

In 3D, on the surface talking of size of tangent plane it has no particular size. It can be extended on either side to any extent you desire.

In 2D:

At a particular point P(h,k) to a curve y=f(y). Tangent vector is given by equation y(k) = f(h,k)*(x-k) which is unique for that point on the curve. Taking of length a tangent has no particular length. It can be extended on other side to any length you deserve. But if you talk of sub tangent, then it has particular length.

In 3D:

As a particular point P(h,k,1) to a surface f(x,y,z) = 0. Tangent plain is given by equation F(x)(x-h)+F(y)(y-k)+F(z)(z.1)=0 which is unique. For that point on the surface talking of size of tangent plane it has no particular size. It can be extended on either side to any extent you desire.

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To determine which set of data most likely has a mean closest to 29.5, we need to analyze the shape and position of the histograms in relation to the value 29.5.

Looking at the histograms described:

The first histogram ranges from 9 to 48, and the upward trend starts from 1 and ends at 33, followed by a downward trend. This histogram suggests that there may be values lower than 29.5, which would bring the mean below 29.5.

The second histogram ranges from 15 to 48, with an upward trend from 1 to 30 and then a downward trend. Similar to the first histogram, it suggests the possibility of values lower than 29.5, indicating a mean below 29.5.

The third histogram ranges from 12 to 56, and the upward trend starts from 1 and ends at 32, followed by a downward trend. This histogram covers a wider range but still suggests the possibility of values below 29.5, indicating a mean below 29.5.

The fourth histogram ranges from 15 to 54 and exhibits multiple trends. While it has fluctuations, it covers a wider range and includes both upward and downward trends. This histogram suggests the possibility of values above and below 29.5, potentially resulting in a mean closer to 29.5.

Based on the descriptions, the fourth histogram, with its more varied trends and wider range, is most likely to have a mean closest to 29.5.

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Answer:

Step-by-step explanation:

f(x)=3x+2

To find f (5) replace every x in f(x) by 5

That's

f(5) = 3(5) + 2

= 15 + 2

Hope this helps you

Answer:

5 + (.75 * x ) + y = z

Step-by-step explanation:

X = number of added ounces

Y = toppings added

Z = cost of smoothie bowl

$5 the cost of minimum bowl.

Then add that to the .75 cents  multiplied by the number added ounces.

Then add that to the .50 if you get toppings.

The .50 equals the y but it could be 0 to so that's why I added Y.

Answer:

3/10

Step-by-step explanation:

Probability box opened is glue = number of boxes that contain glue / total number of boxes

6/20

To transform to the simplest form. divide both the numerator and the denominator by 2

3/10

The probability that the next person will pay with a debit card is:

P =  0.63

We want to find he probability that the next customer will pay with a debit card.

That probability can be estimated as the quotient between the number of customers that paid with debit card and the total number of customers.

We know that:

15 paid in cash.

50 paid with debit card.

15 paid with credit card.

For a total of 15 + 50 + 15 = 80

Then the probability is:

P = 50/80 = 0.63

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Answer:37.7825

Step-by-step explanation: all you really need to do is find the percentage of 595 of 6.35 which is 37.7825

Mean: 1.5

Median: 1.5

Mode: No mode

To find the mean of a data set, we sum up all the values and divide by the total number of values. In this case, the sum of the data set is 1.2 + 1.3 + 1.4 + 1.5 + 1.6 + 1.7 + 1.8 = 10.5. Since there are seven values in the data set, the mean is calculated as 10.5 / 7 = 1.5.

The median is the middle value in a data set when arranged in ascending or descending order. Since there are seven values in the data set, the median is the fourth value, which is 1.5. As the data set is already in ascending order, the median coincides with the mean.

The mode of a data set refers to the value(s) that occur(s) most frequently. In this case, there is no mode as all the values in the data set appear only once, and there is no value that occurs more frequently than others.

In summary, the mean and median of the data set 1.2, 1.3, 1.4, 1.5, 1.6, 1.7, 1.8 are both 1.5, while there is no mode since all values occur only once.

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The probability that exactly 7 employees out of 23 sent complete the program is 0.217 or 21.7%.

In this case, the number of trials is 23, and the probability of success is 0.4 (since, on average, 40% of those sent complete the program). We want to find the probability of exactly 7 successes.

The binomial probability formula is:

P(X=k) = \((^n_k) \times p^k \times (1-p)^{(n-k)}\)

Where P(X=k) is the probability of k successes, n is the total number of trials, p is the probability of success, and (n choose k) is the binomial coefficient, which represents the number of ways to choose k successes from n trials.

Using this formula, we can calculate the probability of exactly 7 employees completing the program as follows:

P(X=7) = \((^{23} _7) \times 0.4^7 \times (1-0.4)^{(23-7)}\)

= 0.217 or 21.7%

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Answer:

0.00004

Step-by-step explanation:

Answer:

-480

Step-by-step explanation:

(-5)(16)(-3)(-2) =

= (-80)(-3)(-2)

= (240)(-2)

= -480

The solution of the differential equation dy/dx – 4y = 0 is y = Ae4x, where A is an arbitrary constant.

To find the solution of the given differential equation, dy/dx – 4y = 0, we will have to separate the variables and then integrate both sides of the equation as follows:

Integrating both sides, we get ln|y| = 4x + C, where C is the arbitrary constant of integration

Taking exponentials on both sides of the above equation, we obtain

|y| = e^(4x + C)

or, |y| = e^Ce^4x

The constant of integration C is arbitrary, so we can write A = ±e^C, which means that

|y| = Ae4x, where A is an arbitrary constant.

So, the solution of the given differential equation is y = Ae4x, where A is an arbitrary constant.

Therefore, the correct option is y = e^2x.

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Answer:

It is not possible to determine the local maximum of the graphed function over the interval [-3, 1.5] based on the given information. The maximum value of the curved line occurs at (negative 1.6, 56) and (2, 0), but these points do not fall within the interval [-3, 1.5]. Similarly, the minimum value of the curved line occurs at (0.8, negative 11.4), but this point also does not fall within the interval [-3, 1.5]. The curve crosses the x-axis and y-axis at (negative 2.5, 0), (0, 0), and (2, 0), but these points do not correspond to local maxima or minima of the curve.

To determine the local maximum over the interval [-3, 1.5], it would be necessary to have additional information about the shape of the curve and its values at points within the given interval.

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

edge 23

Answer: $-5

Step-by-step explanation:

From the question, we are informed that Spencer has a bank account with a balance of $75.

We are further told that Spencer owes $30 to her credit card and she owes $50 for a LCD tv.

The amount on Sencers bank balance if both debits were paid would be:

= $75 - ($30 + $50)

= $75 - $80

= $-5