The cost of bananas varies directly with the number of pounds bought. If 7 pounds cost $5.46, find the cost of 3 pounds

Answer:

According to the question,

3p=-0.027

By transposing '3' to the RHS, we get

p=0.027/3

=  p=-0.009

So in this question p=-0.009

The number line shows the value of 5 - (-8) = 13.

Addition:

Subtraction:

Here the given operation is subtraction. Where a subtrahend is a negative number i.e., -8.

Step1: Start from '5' on the number line.

Step2: Since the subtrahend is a negative number, move to the right side on the number line from '5'.

Step3: Thus, the number obtained on the line is 13.

Step4: Algebraically the result is 5 - (-8) = 5 + 8 = 13.

The number line for this operation is shown below.

Learn more about a number line here:

https://brainly.com/question/24644930

#SPJ9

If the manufacturer's claim is correct, the probability that the average deviation from perfect accuracy would be 34 seconds or more in the sample obtained by the consumer review website is 0.033

We can use a one-sample t-test to test the manufacturer's claim. The null hypothesis is that the true mean deviation from perfect time is equal to 30 seconds per month, and the alternative hypothesis is that the true mean deviation from perfect time is greater than 30 seconds per month.

The test statistic for this one-sample t-test is calculated as follows

t = (x - μ) / (s / √n)

where x is the sample mean, μ is the hypothesized population mean, s is the sample standard deviation, and n is the sample size.

Plugging in the values given in the problem, we have

x = 34 seconds

μ = 30 seconds

s = 15 seconds

n = 40 clocks

t = (34 - 30) / (15 / √40) = 1.89

Using a t-distribution table with degrees of freedom (df) = n-1 = 39 and a significance level of α = 0.05 (one-tailed test), the critical value is 1.686.

Since our calculated t-value (1.89) is greater than the critical value (1.686), we reject the null hypothesis and conclude that the true mean deviation from perfect time is greater than 30 seconds per month.

To calculate the probability that the average deviation from perfect accuracy would be 34 seconds or more in the sample obtained by the consumer review website, we need to find the area under the t-distribution curve to the right of t = 1.89. Using a t-distribution calculator, we find this probability to be approximately 0.033

Learn more about probability here

brainly.com/question/11234923

#SPJ4

The main goal of data democratization is to make data accessible to all users. Option (a) is correct.

Given the primary goal of data democratization.

Data democratization is the ability to make information in a digital format accessible to the average end user. The goal of data democratization is to allow non-professionals to collect and analyze data without the need for outside help. This requires us to support access with an easy way for people to understand data, so they can use it to accelerate decision-making and uncover opportunities for a business. The goal is for everyone to be able to use the data at any time to make decisions without barriers of access or understanding.

Therefore, the main goal of data democratization is to make data accessible to all users.

Learn more about data democratization from here brainly.com/question/26711803

#SPJ1

Answer: 0.5

Step-by-step explanation:

4x1/8 is 1/2

1/2= 0.5

The equivalent multiplier of 2.08% increase is 1.0208

To convert a given percentage into multiplier, first either add or subtract the percentage from 100 and, then convert it to a decimal.

Here given that the,

Percentage increase = 2.08%

Thus to find, an increase of 2.08% is equivalent to multiplier is ,

(100 + 2.08) / 100

= 102.08 / 100

= 1.0208

To learn more about multiplier refer to :

https://brainly.com/question/20626879

#SPJ1

The expression a⁷- a is divisible by 7 if a is an integer.

Given that,

7 divides a^7−a

To find that if a is an integer, then 7 divides a^7 -a or a⁷- a is divisible by the number 7

We can write, where k is an integer

a^7−a=7k

a(a^6−1)=7k

Now if a=k then

a^6−1=7

a^6=8

and a=±1.414 so a^7−a=9.898

If a is not equal to k then

a(a^6−1)=a(a^3+1)(a^3−1)=7k

since a(a+1)(a−1) is the not product of 3 consecutive integers, the expression is divisible by 7.

Hence, The expression a⁷- a is divisible by 7 if a is an integer.

Learn more about integer here:

brainly.com/question/15276410

#SPJ4

Answer:

3,4 is the pair of numbers that have a sum of 7 and a difference of 1

To solve the given linear program, we'll use the simplex method. Let's label the constraints as (a), (b), and (c).

The objective function is: max 3x + 2y

Subject to the constraints:

(a) 2x + 2y < 8

(b) 3x + 2y < 12

(c) x + 0.5y < 3

(d) x, y > 0

We need to convert the inequalities into equations:

(a) 2x + 2y = 8

(b) 3x + 2y = 12

(c) x + 0.5y = 3

We can rewrite constraint (c) as: 2x + y = 6 for convenience in the calculations.

Z | -3 | -2 | 0 | 0 | 0 | 0 |

s1 | 2 | 2 | 1 | 0 | 0 | 8 |

s2 | 3 | 2 | 0 | 1 | 0 | 12 |

s3 | 2 | 1 | 0 | 0 | 1 | 6 |

The initial tableau represents the maximization problem, with the objective function coefficients in the Z row, the variables x, y, and the slack/surplus variables (s1, s2, s3) in the columns, and the right-hand side values in the b column.

Learn more about function from

https://brainly.com/question/11624077

#SPJ11

Answer:

Explanation:

Let the speed of the first person be x mph and the speed of the second person be y mph

Since one person's speed is faster than the other, we can have:

Mathematically, distance equals the product of speed and time

The time traveled by each person is 1.5 hours

The distance traveled by each of them is:

The sum of the two equals 18 miles

Thus:

Recall;

This means that the first person was walking 5 mph while the second was walking 7 mph

Answer:

Step-by-step explanation:

Mean of 9 numbers is 12.

Total of 9 numbers:

Mean of 8 numbers is 13.

Total of 8 numbers:

Removed number:

Answer:

Step-by-step explanation:

V≈1615.97m³

Answer:

1615.968 m^3

Step-by-step explanation:

V = h/3 * π * r^2

V = 5.6/3 * π * 16.6^2

V = 1615.968 m^3

On solving the complex equation sin(z)= cos (z) we get the value of z as

z = π/4 + kπ

We know sin(z) =( \(e^{iz}-e^{-iz}\))/2i. We also know that cos(z)=(\(e^{iz}+e^{-iz}\))/2

Given sin(z) = cos (z)

⇒ (\(e^{iz}-e^{-iz}\) )/2i = (\(e^{iz}+e^{-iz}\))/2        (1)

Let \(e^{iz}\) = x ,therefore \(e^{-iz}\) =1/x. Using these in the given equation (1) we will get a quadratic equation.

⇒(x- (1/x)) / 2i = (x + (1/x))/2

⇒(x² - 1)/ i = (x² +1) / 1         (cancelling 2 and x from denominator and solving numerators)

⇒(x² -1)/(x² +1) = i/1

⇒(x²-1 + x² + 1)/ (x² - 1 - x² - 1) = (i+1)/ (i-1)      (apply componendo dividendo )

⇒2x²/(-2) = (i+1)/(1-1)

⇒ x² = ( 1 + i) / (1- i)

⇒ x² = i

⇒x² = \(e^{i(\pi /2 + 2k\pi) }\)

⇒x = \(e^{i(\pi /4 + k\pi) }\), \(e^{i(5\pi /4 + k\pi) }\)

Now equate x with \(e^{iz}\)

On solving this we get z = π/4 + kπ

Find trigonometric form of a complex number

brainly.com/question/28036104

#SPJ4

Answer:

48 [fliers]

Step-by-step explanation:

Ann starts with 96 fliers. After she posts 1/4 of them, she will have 3/4*96=72 fliers left. She now has 72 remaining flyers. After posting 1/3 of these, she will have 2/3*72=48 fliers left.

Answer: 20 FOR 4

30 FOR 6

45 FOR 9

50 FOR 10

Step-by-step explanation:

Answer:

Suppose those rental rates have approximately a normal distribution, with a standard deviation of. $150. ... Canada, systolic blood pressure readings have a mean of 121 and a standard deviation of 16. A reading.

Probability that a randomly selected male's systolic blood pressure will be less than 100 is 0.397.

Probability means possibility. It is a branch of mathematics that deals with the occurrence of a random event.

According to the question

For males in a certain town, the systolic blood pressure is normally distributed with a mean of 105 and a standard deviation of 9.

Probability that a randomly selected male's systolic blood pressure will be less than 100

P(x < 100)

By using normalized normal distribution

= \(N(\frac{100-105}{9} )\)

= \(N(\frac{-5}{9} )\)      

We have N(-a) = 1 - N(a), a>0                                    

= 1 -  \(N(\frac{-5}{9} )\)      

= 1 - N(0.556)

= 1 - 0.6026

= 0.3979

≈ 0.397 (nearest thousandth)

So, probability that a randomly selected male's systolic blood pressure will be less than 100 is 0.397.

Find out more information about probability here

https://brainly.com/question/11234923

#SPJ2

Step-by-step explanation:

c. Subtraction property of Equality

Answer:

81

Step-by-step explanation:

RZT = 137

RZS = 56

SZT = 137 - 56 = 81

A concave hexagon with 2 pairs of congruent sides is a shape that has six sides and two pairs of sides that are of equal length, but the shape curves inward at one or more angles, creating a concave indentation.

A hexagon is a six-sided polygon, and when two pairs of its sides are congruent,

it means that four of its sides have the same length, if the shape curves inward at one or more angles,

it creates a concave hexagon, which means that the indentation on the shape is facing inward, rather than outward, a concave hexagon with 2 pairs of congruent sides is a six-sided polygon with four sides of equal length, but with a curvature that creates an inward indentation.

Hence, a concave hexagon with 2 pairs of congruent sides is a six-sided figure with an indentation and two sets of sides with equal lengths.

learn more about hexagon click here:

https://brainly.com/question/15424654

#SPJ11

Answer:  See the image below.

Answer:

WDym??

xDStep-by-step explanation:

Answer: C

n > 1 where n is an integer

Answer:

C) \(n\geq 1\)

Step-by-step explanation:

Answer:

3/8

Step-by-step explanation:

He purchased 3/4 yard of fabric, then used 3/8 of it. You would need to subtract the 3/8 from 3/4 because the fabric is being used up.

Answer:20

Step-by-step explanation:

80 times .25 or 1/4 is 20

Answer:20

Step-by-step explanation:

So, 25% is 1/4 of 100, so if you divide 80 by 4 you get 20, which is 25% of 80.

Another way to do this is on a calculator, do 80 x 25 / 100, this works with finding the percentage of anything!

Answer:

4x3−6x2−7x+6

Sorry if I got it wrong.

Answer:

last one (4,1)

Step-by-step explanation:

Answer:

47 degrees

Step-by-step explanation:

142-95 will come to an answer of 47  .

The solution to the equation 2(t - 5) = 48 is t = 29.

To solve the equation 2(t - 5) = 48, we can use the following steps:

Distribute the 2 to the terms inside the parentheses:

2t - 10 = 48

Add 10 to both sides of the equation to isolate the variable term:

2t = 58

Divide both sides of the equation by 2 to solve for t:

t = 29

Know more about equation here:

https://brainly.com/question/29657983

#SPJ11

The decision is: failure to reject the null hypothesis (frh0).

To determine if there is evidence to support the retailer's belief that salespersons with a college degree have higher average sales, we can perform a

hypothesis test

. The null hypothesis (H0) is that there is no difference in the average sales between salespersons with and without a college degree. The alternative hypothesis (Ha) is that the average sales are greater for salespersons with a college degree.

Let's calculate the p-value and make a decision at the 5% level.

1. Set up the hypotheses:
H0: Average sales for salespersons with a college degree = Average sales for salespersons without a college degree
Ha: Average sales for salespersons with a college degree > Average sales for salespersons without a college degree

2. Calculate the test statistic:
The test statistic used for comparing two means is the

t-test

. We can calculate it using the formula:

t = (x1 - x2) / sqrt((s1^2 / n1) + (s2^2 / n2))

where:
x1 = average weekly sale for salespersons with a college degree = $3422
x2 = average weekly sale for salespersons without a college degree = $3255
s1 = standard deviation for salespersons with a college degree = $468
s2 = standard deviation for salespersons without a college degree = $642
n1 = sample size for salespersons with a college degree = 31
n2 = sample size for salespersons without a college degree = 35

Plugging in the values, we get:

t = (3422 - 3255) / sqrt((468^2 / 31) + (642^2 / 35))
t = 167 / sqrt((218,664 / 31) + (412,164 / 35))
t ≈ 167 / sqrt(7059.48 + 11776.4)
t ≈ 167 / sqrt(18835.88)
t ≈ 167 / 137.34
t ≈ 1.215

3. Find the p-value:
Using the t-distribution table or a statistical software, we can find the p-value associated with the calculated t-value. For a one-tailed test with a degree of freedom (df) of 31 + 35 - 2 = 64, the p-value is approximately 0.114.

4. Make a decision:
Since the p-value (0.114) is greater than the significance level of 0.05, we fail to reject the null hypothesis. There is not enough evidence at the 5% level to support the retailer's belief that salespersons with a college degree have higher average sales.

Therefore, the decision is: failure to reject the null hypothesis (frh0).

To learn more about "Hypothesis Testing"

:

https://brainly.com/question/4232174

#SPJ11

Multiply each payout by the corresponding probability and take the total:

E[X] = 0×0.5 + 5×0.2 + 8×0.15 + 10×0.1 + 15×0.05 = 3.95

The expected value = 3.92

"It describes the average of a discrete set of variables based on their associated probabilities."

\(E(x)=\Sigma[ xP(x)]\)

Multiply each value of the random variable by its probability and add the products.

For given question,

We have been given a payout probability distribution.

We need to find the expected value of the winnings.

First we multiply each value of the random variable by its probability .

0 × 0.5 = 0

5 × 0.2 = 1

8 × 0.15 = 1.2

10 × 0.1 = 1

15 × 0.05 = 0.75

Now, we find the sum of above products.

0 + 1 + 1.2 + 1 + 0.75 = 3.95

By using the formula of expected value,

\(\Rightarrow E(x)=\Sigma[ xP(x)]\\\\\Rightarrow E(x)=3.92\)

Therefore, the expected value = 3.92

Learn more about the expected value here:

https://brainly.com/question/18523098

#SPJ3