Panchito walks 9.75 kilometers in 90 minutes what is the unit rate in kilometers per hour

Answer:

$125,800

Step-by-step explanation:

Amount (A) = ?

Principal (P) = $85,000

Rate (r) = 6%

Time (t) = 8 years

Simple interest formula;

A = P(1 + rt)

A = $85,000(1 + 0.48)

A = $125,800

Answer:

We know that the x-coordinate of point A is -11, and that the distance between point A and point B is 15 units. Let's call the y-coordinate of point A "y". Then we can use the distance formula to find the two possible values of y:

d = sqrt((x2 - x1)^2 + (y2 - y1)^2)

where (x1,y1) = (-11,y) is the coordinates of point A, and (x2,y2) = (1,2) is the coordinates of point B. Substituting the values, we get:

15 = sqrt((-11 - 1)^2 + (y - 2)^2)

15 = sqrt(144 + (y - 2)^2)

15^2 = 144 + (y - 2)^2

225 = 144 + (y - 2)^2

81 = (y - 2)^2

y - 2 = ±9

y = 2 ± 9

So the possible coordinates of point A are (-11,11) and (-11,-7).

The given parameter states 250mg/5ml, this means for every 1 ml, the patient takes 50mg, hence for every 4ml the patient will take 200mg

Density of amoxicillin  = 250mg/5ml amoxicillin

                                     = 50mg/ml

Mass of amoxicillin the patient will take for each 4ml volume

Mass = Density*Volume

Mass = 50*4

Mass = 200mg

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Answer:

Step-by-step explanation:

Guss

The number of people who were in favor of the survey regarding the vaccination is 2127 people.

A percentage is a value or ratio that may be stated as a fraction of 100. If we need to calculate a percentage of a number, we should divide it's entirety and then multiply it by 100. The percentage therefore refers to a component per hundred. Per 100 is what the word percent means. It is represented by %.

From the information, the poll surveyed 3,731 randomly sampled US in April 2021, asking how they felt and 57% said they would favor it.

Therefore, the number of people who favor it will be:

= Percentage × People surveyed

= 57% × 3731

= 0.57 × 3731

= 2127

Therefore, the concept of multiplication was used to get the number of people who favored it.

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Complete question

A Gallup poll surveyed 3,731 randomly sampled US in April 2021, asking how they felt about requiring proof of COVID-19 vaccination for travel by airplane. The poll found that 57% said they would favor it. How many people favor it?

Answer:

9/64

Step-by-step explanation:

\(=0.75\times \frac{\left(3.75+-3.5\right)}{1.3}\\0.75\times \frac{\left(3.75+-3.5\right)}{1.3}\\=0.75\times \frac{0.25}{1.3}\\=0.75\times 0.1875(\left a.k.a\:\frac{3}{16}\right)\\\frac{\left(3\times 0.1875\right)}{4}\\\mathrm{\left(Clarification:\:The\:\:math\:\:above\:\:is\:\:a\:\:broken\:\:down\:version\:of\:the\:original\:problem.\right)}\\=\frac{0.5625\left(\frac{9}{16}\right) }{4}\\=0.1406\left(\frac{9}{64}\right)\)

Hope this helps!

Answer:

x = 76

Step-by-step explanation:

-4( x - 26 ) = -200

-4x + 104 = -200

-4x = -304

x = 76

Hopefully this helps!

Brainliest please?

the value of x is 76

\( - 4(x - 26) = - 200\)

\( - 4x + 104 = - 200\)

\(104 + 200 = 4x\)

\(304 = 4x\)

\( \frac{304}{4} = x\)

\(x = 76\)

Answer:

The company charged $500 for its services,and Mia gives the movers a 16% tip. Now, we can add the tip amount to the cost of the service to find the total amount Mia paid: Total amount = Cost of service + Tip amount = $500 + $80 = $580

Step-by-step explanation:

The correct option is (D). On average, the number of breakdowns per day varies from the mean by about 0.28.

Because standard deviation represents the typical distance between each data point and the mean.

The average distance between each data point and the mean is known as the mean absolute deviation of a dataset. It offers us a sense of how variable a dataset is.

So, the correct answer is On average, the number of breakdowns per day varies from the mean by about 0.28.

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Translate triangle JKL left 1 unit and downward 10 units; the triangles are congruent

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

Triangle JKL to triangle MNO

From the figure, we can see that translating the triangle JKL left 1 unit and downward 10 units would give triangle MNO

The above also implies that the triangles are congruent

This is because translation is a rigid transformation

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Answer:

1, 215

Step-by-step explanation:

To calculate the cost of the cover, we need to know the area of the pool. Assuming that the pool is rectangular and has the dimensions given by the four numbers provided (30, 18, 18, 6), we can calculate the area as follows:

Area = length * width

Area = 30 * 18

Area = 540 square feet

Therefore, the cover for this pool would cost:

Cost = Area * Price per square foot

Cost = 540 * $2.25

Cost = $1,215

So the cover would cost $1,215.

The correct option is B .solution of given problem with the help of integrating the given function is 3xLn3

The area under a curve in a given range can be calculated mathematically via integration. To locate the region between the curve and the x-axis, it is necessary to find a function's antiderivative and evaluate it twice.

A function is a rule that gives each input value a distinct output value. It can be compared to a machine that processes inputs into outputs in accordance with a predetermined rule or formula.

To find f'(x), we need to take the derivative of f(x), where f(x) is the antiderivative of k(x).

Since k(x) = 3x, we can find f(x) by integrating 3x with respect to x:

f(x) = ∫ 3x dx = 3/2 x² + C

where C is a constant of integration.

Now we can find f'(x) by taking the derivative of f(x):

f'(x) = d/dx (3/2 x² + C) = 3x

Therefore, the answer is (B) 3xLn3. Option (A) is incorrect because there is no natural logarithm term in the derivative of f(x). Option (C) is incorrect because the derivative of 3x is 3, not 3/Ln(x). Option (D) is incorrect because there is no x in the denominator of the natural logarithm term.

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The solution of the equation for t is t = i/pr

The equation is given as

i = prt

Divide both sides of the equation by p

So, we have the following equation

i/p = prt/p

Divide both sides of the equation by r

So, we have the following equation

i/pr = prt/pr

Evaluate the quotients

i/pr = t

Rewrite as

t = i/pr

By the above computation, we changed the subject of the formula in i = prt from i to t.

This implies that solving for t is a concept of subject of formula

Hence, the solution is t = i/pr

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A)  The mean distance walked by the group of office workers on Monday was approximately 6.89 km.

b) The interquartile range was approximately 2.2 km.

c)   The value of r would be: r ≈ 4.1 km

d)  (i) Total distance walked = 1.7 km * 20 = 34 km

(ii),  the combined mean distance walked by all thirty workers was approximately 3.28 km.

(iii) the standard deviation is not given directly, we can use the fact that the standard deviation is equal to the square

(a) The mean distance walked by the group of ten office workers on Monday can be found by adding up all of their distances and dividing by the number of workers:

Mean = (5 + 2 + 3 + 6 + 5 + 8 + 5 + 7 + 6 + 4) / 10

= 51 / 10

= 5.1 km

(b) (i) The value of p is the median of the data set. Since there are 10 data points, the median is the average of the 5th and 6th smallest values:

p = (5 + 5) / 2

= 5 km

(c) The value of r represents the maximum distance that is not considered an outlier. From the box-and-whisker plot, we can see that the maximum value is 8 km, which is not an outlier. Therefore,

r = 8 km

(d) (i) The total distance walked by the group of 20 freelancers can be found by multiplying their mean distance by the number of freelancers:

Total distance = Mean distance * Number of freelancers

= 1.7 km * 20

= 34 km

(d)

(i) The total distance walked by the group of 20 freelancers can be found by multiplying their mean distance by the number of freelancers:

Total distance = Mean distance * Number of freelancers

= 1.7 km * 20

= 34 km

(ii) The combined mean distance that all 30 workers walked on Monday can be found by adding up the total distance walked by all workers and dividing by the total number of workers:

Combined mean distance = (Total distance by office workers + Total distance by freelancers) / Total number of workers

= (51 km + 34 km) / 30

= 85 / 30

= 2.83 km

(iii) On Tuesday, all 20 freelancers walked double the distance they walked on Monday. The variance in the distance walked by the freelancers on Tuesday can be found using the formula for the variance of a constant times a random variable:

Var(aX) = a^2 Var(X)

Since the freelancers walked double the distance, the variance of the distance they walked on Tuesday is:

Var(Tuesday distance) = 4 * Var(Monday distance) = 4 * (1 km)^2 = 4 km^2

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The Length is 5 inches and the Breadth is 15 inches

What is Perimeter?

A perimeter is a closed route that covers, surrounds, or outlines a two-dimensional form or length. The circumference of a circle or an ellipse is its perimeter. There are various practical applications for calculating the perimeter.

Solution:

Perimeter of Rectangle = 2*(Length + Breadth)

According to the question

Breadth = 3*Length

Perimeter = 40

40 = 2*(Length + 3*Length)

20 = 4*Length

Length = 5 inch

Breadth = 15 inch

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The question is incomplete. Here is the complete question.

(a) How many three-digit numbers can be formed from the digits 0,1,2,3,4,5 and 6, if each digit can be used only once?

(b) How many of these are odd numbers?

(c) How many are greater than 330?

Answer: (a) 180

              (b) 75

               (c) 105

Step-by-step explanation:

(a) In the group, there are 7 digits. A three-digit number can not start with zero, otherwise, it will be a 2-digit number. So:

For the hundreds position, there are 6 choices.

For the tens position, since the digit can be used only once, there are 6 choices.

For the unit position, there are 5 choices.

The total three-digit number formed is: 6*6*5 = 180

(b) To form an odd number, the unit position must be an odd digit, then:

unit position has 3 choices;

hundreds position has 5 choices;

tens position has 5 remaining choices.

The total three-digit odd number is: 3*5*5 = 75

(c) The number formed must be greater than 330, so:

If the number start with a 3, to be greater, there are 3 other choices (4, 5 and 6), so Tens position has 3 choices and Unit position has 5 choices.

Total number is: 3*5 = 15

Another possibility is the number starts with a digit bigger than 3 and so,  there are 3 choices.

Tens position has 6 choices;

Unit position has 5 choices;

Total possibilities are: 3*6*5 = 90

The total number of ways a three-digit number is greater than 330 is:

90 + 15 = 105

The following food-cost problems:

FC ÷ FC % = SP: 2.75 ÷ 25% = 11.

FC ÷ SP = FC %: 3.80 ÷ $15.00 = 25.33%.

SP x FC % = FC: 24.00 x 21% = 5.04.

To complete the food-cost problems, we will apply the given formulas and solve for the missing values.

FC ÷ FC % = SP

Given: FC = 2.75, FC % = 25%

Substituting the values into the formula, we have:

2.75 ÷ 25% = SP

To divide by a percentage, we convert the percentage to a decimal by dividing it by 100:

2.75 ÷ 0.25 = SP

Simplifying the division, we get:

11 = SP

Therefore, the selling price (SP) is 11.

FC ÷ SP = FC %.

Given: FC = 3.80, SP = $15.00

Substituting the values into the formula, we have:

3.80 ÷ $15.00 = FC %

To divide by a dollar amount, we can simply perform the division:

0.2533... = FC %

Therefore, the food cost percentage (FC %) is approximately 25.33%.

SP x FC % = FC

Given: SP = 24.00, FC % = 21%

Substituting the values into the formula, we have:

24.00 x 21% = FC

To multiply by a percentage, we convert the percentage to a decimal by dividing it by 100:

24.00 x 0.21 = FC

Simplifying the multiplication, we get:

5.04 = FC

Therefore, the food cost (FC) is 5.04.

In summary:

2.75 ÷ 25% = 11

3.80 ÷ $15.00 = 25.33%

24.00 x 21% = 5.04

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Answer:

Marneisha with 9.52 pages.

Step-by-step explanation:

Zev: 56×0.15 = 8.4

Kelly: 64×0.12 = 7.68

Marneisha: 68×0.14 - 9.52

Aleisha: 72×0.10 = 7.2

The measure of the central angle θ in degrees and then multiply by 1/(2π). Then that result by πr²

We will use the following points to find the area of the sector;

First of all, the angle that is formed in a full rotation is 2π.

The area of a circle is given by the formula; A = πr²

The central angle is given by the angle symbol θ. Thus, we have to multiply the area of the circle by a factor θ/2π

Thus, the area of a sector is given by the formula;

A = (θ/2π) * πr²

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The rational number expression in simplest form is 17/ 228.

You can simply replace those variables with the value you know of them and then operate on those values to get a final value. This is the result of that expression at those values of the considered variables.

WE have the rational number expression is given as

34 ÷ (12 · 38)

Solving;

34 ÷ (12 · 38)

34 ÷ (456)

= 17 / 228

Therefore, the rational number expression in simplest form is 17/ 228.

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2(4z−2) = 44

Simplify both sides of the equation.

Distribute:

(2)(4z)+(2)(−2) = 44

8z + −4 = 44

8z − 4 = 44

Add 4 to both sides.

8z − 4 + 4 = 44 + 4

8z = 48

Divide both sides by 8

8z/8    48/8

z = 6

Answer:

z=6

Step-by-step explanation:

Answer:

3 × 8 = 24

3 × 8 is the multiplication equation.

Answer:

8x=24

Step-by-step explanation:

Please sayb this was helpful

a) Using the standard divisors according to Jefferson's apportionment method, the number of salespeople assigned to work each shift is as follows:

Shift                              Morning     Midday     Afternoon     Evening   Total

Number of

salespeople assigned  1               3                  5                 7                16

b) The modified or adjusted divisor used represents the average number of customers for each shift divided by the standard divisor.

The standard divisor shows the ratio of the total population to the number of seats.

The standard divisor gives an insight about the number of people each seat represents.

Standard divisor = Total number of customers / Total number of salespeople

The total number of customers = 1,425

The number of salespeople = 16

a) Standard divisor = 1,425 ÷ 16

= 89.0625

Shift                              Morning     Midday     Afternoon     Evening   Total

Average number of

customers                     125            280             460             560       1,425

Standard divisor      89.0625     89.0625      89.0625      89.0625

b) Modified divisor     1.4035        3.1438          5.165           6.288

Number of

salespeople assigned  1               3                  5                 7                16

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Sasha buys 5 boxes crackers for 12.25 if each box cost the same amount  one box of crackers costs $2.45.

To find the cost of one box of crackers, we can use the concept of unit rate, which is the cost per one unit. In this case, we want to find the cost per one box of crackers.

If Sasha bought 5 boxes of crackers for a total of $12.25, we can set up a proportion to find the cost of one box of crackers:

5 boxes / $12.25 = 1 box / x

Here, "x" represents the cost of one box of crackers. We can solve for "x" by cross-multiplying the proportion:

5 boxes * x = $12.25 * 1 box

5x = $12.25

x = $12.25 / 5

x = $2.45

To check our answer, we can multiply the cost of one box by the number of boxes Sasha bought:

$2.45 * 5 boxes = $12.25

This confirms that our answer is correct.

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Complete question is:

Sasha buys 5 boxes crackers for 12.25, if each box cost the same amount, then how much does 1 box of the crackers cost?

Answer:

1. The number of associates =  4

The number of partners = 2

2. Pounds of bananas sold = 50

Pounds of raspberries sold = 37

Step-by-step explanation:

1. Let,

Number of associates = x

Number of partners = y

According to given statement;

x = y + 2      Eqn 1

400x + 1300y = 4200     Eqn 2

Putting value of x from Eqn 1 in Eqn 2

400(y+2)+1300y=4200

400y+800+1300y=4200

1700y=4200-800

1700y = 3400

Dividing both sides by 1700

\(\frac{1700y}{1700}=\frac{3400}{1700}\\y=2\)

Putting y = 2 in Eqn 1

x = 2 + 2

x = 4

Hence,

The number of associates =  4

The number of partners = 2

2. Let,

b represents the pounds of bananas

r represent the pounds of raspberries

According to given statement,

b = r + 13     Eqn 1

3.25b + 1.75r = 227.25     Eqn 2

Putting value of b from Eqn 1 in Eqn 2

3.25(r+13) + 1.75r = 227.25

3.25r + 42.25 + 1.75r = 227.25

5r = 227.25-42.25

5r = 185

Dividing both sides by 5

\(\frac{5r}{5}=\frac{185}{5}\\r=37\)

Putting r = 37 in Eqn 1

b = 37+13 = 50

Hence,

Pounds of bananas sold = 50

Pounds of raspberries sold = 37

Answer:

\(z=\frac{0.1475-0.1}{\sqrt{\frac{0.1(1-0.1)}{400}}}=3.17\)  

The p value for this case would be given by:

\(p_v =P(z>3.17)=0.00076\)  

For this case the p value is lower than the significance level so then we have enough evidence to reject the null hypothesis and we can conclude that the true mean is significantly higher than 0.1 and then Company B can reject the shipment

Step-by-step explanation:

Information provided

n=400 represent the random sample taken

X=59 represent number of defectives from the company B

\(\hat p=\frac{59}{400}=0.1475\) estimated proportion of defectives from the company B  

\(p_o=0.1\) is the value to verify

\(\alpha=0.05\) represent the significance level

z would represent the statistic

\(p_v\) represent the p value

Hypothesis to test

We want to verify if the true proportion of defectives is higher than 0.1 then the system of hypothesis are.:  

Null hypothesis:\(p \leq 0.1\)  

Alternative hypothesis:\(p > 0.1\)  

The statistic would be given by:

\(z=\frac{\hat p -p_o}{\sqrt{\frac{p_o (1-p_o)}{n}}}\) (1)  

Replacing the info given we got:

\(z=\frac{0.1475-0.1}{\sqrt{\frac{0.1(1-0.1)}{400}}}=3.17\)  

The p value for this case would be given by:

\(p_v =P(z>3.17)=0.00076\)  

For this case the p value is lower than the significance level so then we have enough evidence to reject the null hypothesis and we can conclude that the true mean is significantly higher than 0.1 and then Company B can reject the shipment

Answer:

Answer:

Total cuŕved surface area of the pillars = 985.6m²Total cost of painting = Rs.5420.8

Explanation:

Given,

A cylindrical pillar with dimènsions,

r(radius) = 56/2 = 28cm. [ Since d = r/2]h(height) = 35m

There are 16 such pillars. Find the cost of paiñting the the curved surface area of all pillars 5.50/m²

Conversion of the dimensioñs in same units.

Radius = 28cm

= 28 ÷ 100 [Since 1m = 100]

= 0.28m

Cuŕved surface area of the pillar is given by,

→ 2πrh

Where,

Taking ‘π’ as 22/7

→ 2*(22/7)*(0.28)*(35)