Help me with this question

Answer:

10:55

Step-by-step explanation:

15:55 - 5 = 10:55

Answer:

4710

Step-by-step explanation:

6580 minus

1870

4710

b) P(S) = 0.356  , c) P(S') = 0.644  ,d) P(S | R)= 0.078 e) P(R' | S')  = 0.965

is the probability of all cases according to question conditions

what is probability ?

Probability is a measures the likelihood of event occurring. It is expressed as a number between 0 and 1, with 0 indicating that the event is impossible and 1 indicating that the event is certain.

what is event occurring ?

An event is any outcome or result that can occur in a given situation. It can be a simple outcome, such as flipping a coin and getting heads, or a more complex outcome

In the given question,

a. Here is the tree diagram for the scenario:

        Rain (0.3)

        /      \

    S (0.12)   S' (0.88)

   /     \

No Rain (0.7)  S (0.53)

         \

          S' (0.47)

b. We can use the Law of Total Probability to calculate P(S):

P(S) = P(R) * P(S | R) + P(R') * P(S | R')

    = 0.3 * 0.12 + 0.7 * 0.53

    = 0.356

Therefore, there is a 35.6% chance that Sarina will go to the store on Saturday.

c. P(S') represents the probability that Sarina will not go to the store on Saturday. We can use the complement rule to calculate it:

P(S') = 1 - P(S)

    = 1 - 0.356

    = 0.644

Therefore, there is a 64.4% chance that Sarina will not go to the store on Saturday.

d. P(S | R) represents the probability that Sarina will go to the store on Saturday given that it rains. We can use Bayes' Theorem to calculate it:

P(S | R) = P(R | S) * P(S) / P(R)

        = P(S | R) * P(R) / (P(R | S) * P(S) + P(R | S') * P(S'))

        = 0.12 * 0.3 / (0.12 * 0.3 + 0.53 * 0.7)

        = 0.078

Therefore, there is a 7.8% chance that Sarina will go to the store on Saturday given that it rains.

e. P(R' | S') represents the probability that it doesn't rain given that Sarina doesn't go to the store on Saturday. We can use Bayes' Theorem to calculate it:

P(R' | S') = P(S' | R') * P(R') / P(S')

          = P(S' | R') * P(R') / (P(S | R) * P(R) + P(S' | R') * P(R'))

          = 0.47 * 0.7 / (0.078 * 0.3 + 0.47 * 0.7)

          = 0.965

Therefore, there is a 96.5% chance that it doesn't rain given that Sarina doesn't go to the store on Saturday.

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Answer:

y = mx + b

m =(-2--4)/(-6--7)

m = 2

-2 = 2(-6) +b

b = 10

y= 2x + 10

Answer:

137 in binary is 10001001

Step-by-step explanation:

Conner's answer did not receive full credit because he did not convert the hexadecimal number #FF0000 to decimal and binary correctly.

While it is true that the letter F represents 1111 in binary, in hexadecimal, FF represents the decimal value 255, not 1111.

Therefore, Conner's answer is incorrect, and he needs to use the correct conversions to get the right answer.

To convert 255 to binary using divisions, we can use the following steps:

Start with the decimal number 255.

Divide 255 by 2, and write down the quotient and remainder. The quotient is 127, and the remainder is 1.

Divide the quotient (127) by 2, and write down the quotient and remainder. The quotient is 63, and the remainder is 1.

Repeat this process of dividing the quotient by 2 and writing down the quotient and remainder until the quotient becomes 0.

The binary equivalent of 255 is the sequence of remainders written in reverse order: 11111111.

Decimal Number      Quotient          Remainder

        255                   127                1

        127                           63                    1

        63                             31                    1

        31                              15                    1

        15                            7                    1

        7                            3                    1

        3                            1                      1

        1                                0                    1

Divide 137 by 2. The quotient is 68, and the remainder is 1.

Divide 68 by 2. The quotient is 34, and the remainder is 0.

Divide 34 by 2. The quotient is 17, and the remainder is 0.

Divide 17 by 2. The quotient is 8, and the remainder is 1.

Divide 8 by 2. The quotient is 4, and the remainder is 0.

Divide 4 by 2. The quotient is 2, and the remainder is 0.

Divide 2 by 2. The quotient is 1, and the remainder is 0.

Divide 1 by 2. The quotient is 0, and the remainder is 1.

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Answer:

4.42.

Step-by-step explanation:

3.4 multiplied by 1.3 equals 4.42

To multiply decimals, you can simply ignore the decimal points and multiply the numbers as if they were whole numbers. In this case, 34 multiplied by 13 equals 442. However, we need to account for the decimal places.

The first factor, 3.4, has one decimal place, so we need to move the decimal point in the product one place to the left, giving us 4.42. The second factor, 1.3, also has one decimal place, so we have a total of two decimal places in the product.

Therefore, 3.4 multiplied by 1.3 equals 4.42.

Answer:

111 points

Step-by-step explanation:

To find the total number of points Ali has scored after 12 table tennis games, we can multiply his mean score by the number of games:

9.25 points per game x 12 games = 111 points

Therefore, Ali has scored a total of 111 points.

yw;)

Answer:

Wouldn't P be something less or equal to an acute angle? Try 75°.

Answer:

its 300∘ I got it right

By the use of the distributive property, we have the result obtained as 6xy - 6xz.

The term distributive property has to do with the process by which we can remove the brackets that may sometimes occur in a mathematical expression. It is the way by which we can be able to rewrite the mathematical expression without adding the brackets thereby making mathematical operations much easier.

We have the expression; 6x (y - z)

Multiplying through by 6x we have;

6xy - 6xz

Using the distributive property, we obtain; 6xy - 6xz

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Answer:

cars per minute

Step-by-step explanation:

time is in minutes at the bottom so it cant be cars per hour

Answer:

26 (I think) :)

Step-by-step explanation:

i don’t know how to…

Answer:

26

Step-by-step explanation:

I think.

Answer:

B

Step-by-step explanation:

using the recursive rule \(a_{n}\) = 3\(a_{n-1}\) and a₁ = 10, then

a₁ = 10

a₂ = 3a₁ = 3 × 10 = 30

a₃ = 3a₂ = 3 × 30 = 90

the first 3 terms are 10 , 30 , 90

Answer:

Histogram

Step-by-step explanation:

Answer:

a Bar graph

Step-by-step explanation:

i did the test

The calculated volume of the prism is 702 cubic cm

From the question, we have the following parameters that can be used in our computation

The trapezoidal prism (see attachment)

The formula of the volume of a trapezoidal prism is

Volume = Base area * Height

Where we have

Base area = 1/2 * (8 + 10) * 6

Evaluate the sum of 8 and 10

Base area = 1/2 * 18 * 6

Evaluate the products of 1/2, 18 and 6

Base area = 54

Also, we have

Height = 13

So, the volume is calculated as

volume = 13 * 54

Evaluate

volume = 702

Hence, the volume of the prism is 702 cubic cm

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Answer:

convert the lengths to meters

10dm=1m

1dm=0.1m

hence, firs ribbon

2m+0.1m=2.1m

Second Ribbon

3m and 9dm

convert 9dm into Metres we get 0.9m

hence, 3m+0.9m=3.9m

Third Ribbon

6m+0.4m=6.4m

A line segment cannot have two distinct mid points.

The midpoint of a line is the middle point of a line segment.

It is equidistant from both endpoints, and it is the centroid both of the segment and of the endpoints.

for external division: (x,y) = ([(mx2 + nx1) / (m + n )], [(my2 + ny1)/(m+n)])

for internal division: (x, y) = ([(mx2 - nx1) / (m -n)], [(my2 - ny1)/(m - n)])

where;

Thus, a line segment cannot have two distinct mid points.

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Complete Question

In response to concerns about nutritional contents of fast foods, McDonald's has announced that it will use a new cooking oil for its French fries that will decrease substantially trans fatty acid levels and increase the amount of more beneficial polyunsaturated fat. The company claims that only 3 out of 100 people can detect a difference in taste between the new and old oils. Assuming that this figure is correct (as a long-run proportion), what is the approximate probability that in a random sample of 1000 individuals who have purchased fries at McDonald's, at least 40 can taste the difference between the two oils? (2.5 pts.)

Answer:

The probability is  \(P(\^ p \ge 0.04 ) = 0.03216\)

Step-by-step explanation:

From the question we are told that

   The population proportion is  \(p = \frac{3}{100} = 0.03\)

    The sample size is  n  = 1000

 Generally the mean of this sampling distribution is  \(\mu_{x} = 0.03\)

Generally the standard deviation of this sapling distribution is  mathematically evaluated as  

        \(\sigma = \sqrt{\frac{p (1 - p)}{n} }\)

=>      \(\sigma = \sqrt{\frac{0.03 (1 - 0.03)}{1000} }\)

=>      \(\sigma = 0.0054\)

Generally the sample proportion when the number of those that can taste the difference is 40  is mathematically represented as

      \(\^ p = \frac{40}{1000} = 0.04\)

Generally the approximate probability that in a random sample of 1000 individuals who have purchased fries at McDonald's, at least 40( \(\^ p = 0.04\)) can taste the difference between the two oils is mathematically represented  as

     \(P(\^ p \ge 0.04 ) = 1 - P(\^ p < 0.04 )\)

Here

      \(P(\^ p < 0.04 ) = P(\frac{ \^ p - \mu_{x}}{\sigma } < \frac{0.04 - 0.03}{0.0054} )\)

\(\frac{\^ p -\mu}{\sigma }  =  Z (The  \ standardized \  value\  of  \ \^ p )\)

=>   \(P(\^ p < 0.04 ) = P(Z < 1.85 )\)

From the z table the probability of  (Z < 1.85  ) is

      \(P(Z < 1.85 ) = 0.96784\)

So

    \(P(\^ p < 0.04 ) = 0.96784\)

So

   \(P(\^ p \ge 0.04 ) = 1 - 0.96784\)

=> \(P(\^ p \ge 0.04 ) = 0.03216\)

Answer:440

Step-by-step explanation:

F=440(2)h/12 h=6

F=440 x 2 x 6/12

F=(440 x 2 x 6) ➗ 12

F=5280 ➗ 12

F=440

The given equation is:

Hence the vertex of the parabola is at (3,-3).

The two points to the left of the vertex of the parabola are (0,6) and (2.-2).

The two points to the right of the vertex of the parabola are (6,6) and (5.1).

The graph is shown below:

Answer:

Given:

s = -9

We exchange this value into our inequality;

-23s  ≥ 6

-23(-9) ≥ 6

207 ≥ 6

The outlier of the graph is

An outlier is an isolated data point that significantly differs from the entirety of the points within a dataset. It is an observation that resides an exceptional distance away compared to other values in a random sample from a population.

Outliers can be identified employing various statistical techniques, like graphical methods (for instance, box plots, scatterplots) and numerical procedures (e.g., Z-score, IQR method).

The problem used a scatter plot plot to show that the outlier is (5, 1)

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Let the number of late days be x.

In one week she makes 1500 dollars so in 4 weeks she will make 1500x4=6000 dollars

80 dollars are deducted for each late day.

She wants to make atleast 5500 dollars so the inequality is given by:

So the maximum number of late days is 6.

She can come late for 6 or fewer days to make atleast 5500 dollars.

Answer:

The null and alternative hypothesis are:

\(H_0: \mu=135\\\\H_a:\mu\neq 135\)

P-value = 0.0162.

Yes, there is enough evidence to support the claim that the corn yield is significantly different from 135 bushels per acre.

Step-by-step explanation:

This is a hypothesis test for the population mean.

The claim is that the corn yield is significantly different from 135 bushels per acre.

Then, as it is a two-tailed test (we are looking if the yield has changed) the null and alternative hypothesis are:

\(H_0: \mu=135\\\\H_a:\mu\neq 135\)

The significance level is 0.05.

The sample has a size n=50.

The sample mean is M=138.4.

The standard deviation of the population is known and has a value of σ=10.

We can calculate the standard error as:

\(\sigma_M=\dfrac{\sigma}{\sqrt{n}}=\dfrac{10}{\sqrt{50}}=1.414\)

Then, we can calculate the z-statistic as:

\(z=\dfrac{M-\mu}{\sigma_M}=\dfrac{138.4-135}{1.414}=\dfrac{3.4}{1.414}=2.4\)

This test is a two-tailed test, so the P-value for this test is calculated as:

\(\text{P-value}=2\cdot P(z>2.4)=0.0162\)

As the P-value (0.0162) is smaller than the significance level (0.05), the effect is significant.

The null hypothesis is rejected.

There is enough evidence to support the claim that the corn yield is significantly different from 135 bushels per acre.

Answer:

(0, -8)

Step-by-step explanation:

The y-intercept of the line is -8, meaning the coordinate point is (0, -8),

Answer:

The answer is Zack garden

To write a number in exponential form, we look at the main number, then see how much is it repeated by.

Our main number is 0.75.

How many times 0.75 is repeating is 5 times.

Therefore, our answer is: \(0.75^5\).

Optional: 0.75 to the power of 5 is: 0.2373046875.

Answer:

13.27 cm

Step-by-step explanation:

I am using (xy) to mean the length of the side xy

7^2 + (xy)^2 = 15^2

49 + (xy)^2 = 225

(xy)^2 = 225-49

(xy)^2 = 176

Side (xy) = sqrt(176) = 13.2664991614 = 13.27 cm

25% of the students in the seminar are shorter than 65 inches.

To find the percentage of students who are shorter than 65 inches, we first need to find the number of students whose height is less than 65 inches:

There are three students who are shorter than 65 inches: 62, 60, and 58.

Therefore, the percentage of students who are shorter than 65 inches is:

(3 students / 12 students) × 100% = 25%

Note that the value given for 1% × 5 does not appear to be relevant to this question, and is not necessary for the calculation of the percentage of students who are shorter than 65 inches.

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Answer:

38.64 km^2

Step-by-step explanation:

The formula for the area of a trapezoid is:

\(\frac{(b_{1}+b_{2})*h}{2}\)

Where b1 and b2 are the bases and h is the height. We are given 2.9 and 10.9 as the bases and 5.6 as the height. We can plug these values into the formula:

\(\frac{(2.9+10.9)*5.6}{2}\)

After entering the expression in the calculator, you get:

38.64 km^2

This is the first option.

Answer:

\(-2<x<-\dfrac{3}{4}\) Or \(x\in (-2,-\dfrac{3}{4})\)

Step-by-step explanation:

The numbers are \(-\dfrac{3}{4}\) and \(-2\).

We need an inequality that gives us the numbers between the above numbers.

The inequality will be

\(-2<x<-\dfrac{3}{4}\)

Or

\(x\in (-2,-\dfrac{3}{4})\)

This means that \(x\) is a number that is in between the rational numbers \(-\dfrac{3}{4}\) and \(-2\). Also, \(x\) is greater than \(-2\) and less than \(-\dfrac{3}{4}\)

The positions in the number line are shown in the figure where the numbers are marked by arrow.