25-
The graph shows the speed of a minibus, in metres per second, during the first
40 seconds of a journey.
Work out an estimate for the distance
travelled by the minibus in the first
40 seconds.
Use 4 strips of equal width.
20-
+
15
Speed
(m/s)
10
5+
0-
0
40
10
20
30
Time (seconds)
Total marks: 4

we have

the solution is the interval {2, infinite)

In a number line the solution is the shaded area at right of a=2 (close circle)

therefore

the answer is

First option

Answer:

1 point on (0,-6) and the other on (-3,0)

the left side of the graph should be shaded if you need to

Step-by-step explanation:

Using translation concepts, it is found that the coordinates of the image of point B is given by: (0, –2).

A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.

In this problem, the rule is given by:

(x,y) -> (x + 5, y - 2).

Hence, the image of point B, given by B', is:

(-5,0) -> (-5 + 5, 0 - 2) -> (0,-2).

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Answer:

9/20

Step-by-step explanation:

The probability of drawing a girl's name is 0.5, since there are 5 girls in 10 kids here.  If that girl's name is not replaced, then the probability of drawing a boy's name is 5/9, since there are still such names but the total number of names is now 9.

Thus, the probability of this joint event is (0.5)(9/10) = 4.5/10 = 9/20

Answer:

so drawing a girls name from the hat would be 5/10 since 5 girls are there out of 10 students in total. After, you pick the girls name the total number of student names would become 9 and since there are 5 guys, you get a 5/9 probability

The value of x in the similar triangle is 6 units.

Similar triangles are the triangles that have corresponding sides in proportion to each other and corresponding angles equal to each other.

Using the proportional relationship of the similar triangle,

4 / x = x  /9

cross multiply

x² = 36

square root both sides

√x² = √36

x = 6

Therefore,

x = 6 units

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As a nurse, you weigh each patient. A patient weighs 65 kilograms.

We need to convert the weight of the patient from kilograms to pounds

To convert kilograms to pounds,

we need to multiply the weight in kilograms by 2.20462.1 kilogram = 2.20462 pounds

Therefore,

65 kilograms = 65 x 2.20462 = 143.3 pounds (approximately)

Hence, the patient weighs about 143.3 pounds.

let's do it step by step:

When converting a weight from kilograms to pounds, we use the conversion factor of 2.20462 pounds per kilogram. This means that for every 1 kilogram, there are approximately 2.20462 pounds.

To estimate how much the patient weighs in pounds, we can take their weight in kilograms, which is 65 kilograms, and multiply it by the conversion factor of 2.20462 pounds per kilogram.

65 kilograms * 2.20462 pounds/kilogram ≈ 143.3 pounds

Therefore, the patient weighs approximately 143.3 pounds. Keep in mind that this is an approximate conversion as the conversion factor is rounded to five decimal places.

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Answer:

A. \(\frac{3}{10}\) a yard

Step-by-step explanation:

We just need to divide the \(\frac{3}{5}\)yard fabric into 2:

\(\frac{3}{5}\)÷\(\frac{2}{1}\) = \(\frac{3}{5}\)×\(\frac{1}{2}\)

     = \(\frac{3}{10}\)

The strength factor of the evidence you just got that you picked the special box is 4.

Given:

There are four boxes that look the same. in one box (the special one), half of the marbles are blue. but only 1/8 of the marbles in the other boxes are blue.

Hypothesis =  The box the blue marble was picked from is the special box.

Prior confidence = 1:3 (ratio of special boxes to non special boxes )

Now P(B | S) = 1/2 (given that a box is selected from the special box, there is 1/2 chance that it is blue)

And P(B | NS) = 1/8 (given that a box is selected from a non-special box, there is 1/8 chance that it is blue)

According to  bayes factor ,we get:

P(B | S)/P(B | NS) = (1/2)/(1/8) = 4

Thus, 4.

Therefore the strength factor of the evidence you just got that you picked the special box is 4.

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Answer:

A

Step-by-step explanation:

This would be the answer because the colors are changing left to right left to right or rith to left right to left... Hope this helped!!!Plz leave a heart and a rating..

Answer:

A

Step-by-step explanation:

The blue part in the first circle is on the right and the blue part in the second circle is on the left

The blue part on the third circle is on the left hence the blue part on the fourth circle must be on the left

Also the numbers are on the blue part of the circle, hence it cannot be C

it's C because the floor area is 120 square feet and the walls are 8 feet so if you multiply 120 × 8 you get 960.

ofc whom grotto os rudimentary I eek

The system capacity is 2 units per minute, the bottleneck stage is Stage A, and the utilization of Stage 3 is 100%.

A line process has three processing stages with the characteristics given below:

Stage A B C Unit processing time(minutes) 1 2 3 Number of machines 1 1 2 Machine availability 90% 100% 100% Process yield at stage 100% 100% 100%

To determine the system capacity and the bottleneck stage and utilization of Stage 3:

The system capacity is calculated by the product of the processing capacity of each stage:

1 x 1 x 2 = 2 units per minute

The bottleneck stage is the stage with the lowest capacity and it is Stage A. Therefore, Stage A has the lowest capacity and determines the system capacity.The utilization of Stage 3 can be calculated as the processing time per unit divided by the available time per unit:

Process time per unit = 1 + 2 + 3 = 6 minutes per unit

Available time per unit = 90% x 100% x 100% = 0.9 x 1 x 1 = 0.9 minutes per unit

The utilization of Stage 3 is, therefore, (6/0.9) x 100% = 666.67%.

However, utilization cannot be greater than 100%, so the actual utilization of Stage 3 is 100%.

Hence, the system capacity is 2 units per minute, the bottleneck stage is Stage A, and the utilization of Stage 3 is 100%.

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Answer:

C. The answer is not reasonable because 4/5 of a number should be less than the number

Step-by-step explanation:

On Edge

The total number of t-shirts sold by Tom equals to 17 t-shirt.

Basically, a profit refers to the difference between the revenue that an entity has received from its outputs and the opportunity costs of its inputs.

We need to note that he made a total profit of $125. From here, we will proceed to use that data to solve other sections.

From the total profit of $125, he also made a profit of $40 from selling hats. That means that the T-shirt sales alone gives him a profit of $85 ($125 - $40).

Total quantity of t-shirt sold is computed as follows:

= Total profit from t-shirt / Profit per shirt

= $85 / $5

= 17 t-shirt

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Answer:

c

Step-by-step explanation:

(2w^2+10w+12)-(w^2+4w-5)

w^2+6w+17

Answer:

14x+35

Step-by-step explanation:

Answer:

14x+35

Step-by-step explanation:

7(2x+5)

Use the distributive property to multiply 7 by 2x+5.

14x+35

Answer:

y = 1/5x

Step-by-step explanation:

The probability that the article will have no errors is approximately 0.0233.

To solve this problem, we can use the formula for the probability of an event, which is the number of favorable outcomes divided by the total number of outcomes.

Let's first find the probability that the article is typed by the first typist. Since the article is equally likely to be typed by either typist, this probability is 1/2.

Now, we need to find the probability that the article has no errors given that it is typed by the first typist. We know that the average number of errors per article typed by the first typist is 3.5, so the probability that an article typed by the first typist has no errors is given by the Poisson distribution with λ = 3.5:

P(X = 0) = e^(-λ) * λ^0 / 0! = e^(-3.5) * 3.5^0 / 1 = e^(-3.5) ≈ 0.0302

Similarly, we can find the probability that the article has no errors given that it is typed by the second typist. This probability is given by the Poisson distribution with λ = 4.1:

P(X = 0) = e^(-λ) * λ^0 / 0! = e^(-4.1) * 4.1^0 / 1 = e^(-4.1) ≈ 0.0164

Finally, we can use the law of total probability to find the probability that the article has no errors:

P(X = 0) = P(X = 0 | typed by first typist) * P(typed by first typist) + P(X = 0 | typed by second typist) * P(typed by second typist)

= 0.0302 * 1/2 + 0.0164 * 1/2

= 0.0233

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Answer:

Hi! answer: v = 33

Step-by-step explanation:

44 - 11 = 33 11 + 33 = 44 so v = 33

Each outcome represents the result of two spins, with the first element indicating the outcome of the first spin and the second element indicating the outcome of the second spin in the sample space.

The sample space is the set of all possible outcomes of an experiment. In this case, the experiment is spinning a spinner twice with two equally sized sections labeled "stop" and "go."

The possible outcomes of the first spin are "stop" (s) and "go" (g). Similarly, the possible outcomes of the second spin are also "stop" and "go."

Therefore, the sample space can be represented by all possible combinations of the first and second spin outcomes, which gives us the following four outcomes:

(s,s): the spinner stops on "stop" twice

(s,g): the spinner stops on "stop" on the first spin and on "go" on the second spin

(g,s): the spinner stops on "go" on the first spin and on "stop" on the second spin

(g,g): the spinner stops on "go" twice

Hence, the sample space for spinning a spinner twice with two equally sized sections labeled "stop" and "go" is given by the set: {(s,s), (s,g), (g,s), (g,g)}.

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Assuming that the resistance faced while coasting is equivalent to the square of its velocity, the boat will coast a distance of around 332.98 feet in the first two minutes after its motor shuts off.

of a boat with a motor that has failed.

Starting with the stated differential equation, dv/dt = -kv2, where v represents the motorboat's speed and k is a proportionality constant, we can begin to address this issue.

By rewriting the equation in the following format, we may separate the variables:

dv/v2 equals -k dt

Including both sides results in:

(-1/v) = -kt + C (-1/83) = 0 + C (C = -1/83) D = v dt = (-1/v + 1/83) C' d = -ln|v| + (t/83) - 1.0986 d = -ln|23| + (120/83) - 1.0986 d = 332.98 ft

Hence, assuming that the resistance faced while coasting is equivalent to the square of its velocity, the boat will coast a distance of around 332.98 feet in the first two minutes after its motor shuts off.

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Answer:

the second answer is the answer

The Prime coordinates are

Co-ordinate of A′ (3, 4)

Co-ordinate of B′ (1, -1)

Co-ordinate of C′ (-2, -4)

A triangle's vertex is the location at which any two of its sides meet. The intersection of three line segments results in a triangle. A triangle is formed when the ends of each of its three sides cross at least three points in a plane, with each side having two endpoints. The vertices of a triangle are the three spots where they cross.

Reflects over the y axis is

(x,y)→(-x,-y)

A(-3,-4)→(3,4)

B(-1,1)→(1,-1)

C(2,4)→(-2,-4)

All of the x-coordinates will remain the same if we are looking for the triangle's image along the X-axis, but the y-coordinate will change its sign.

So,

The co-ordinate of A′ (3,4)

The co-ordinate of B′ (1,-1)

The co-ordinate of C ′(-2,-4)

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TRUNCATED to one decimal place, it's 50.2

ROUNDED to one decimal place, it's 50.3

The round-off of 50.272 to 1 decimal place using rules of rounding

numbers are 50.3.

Rounding off numbers means making a number simpler by adjusting it to its nearest place according to certain rules.

Rounding a number to one decimal place means keeping only the first digit after the decimal point and neglecting the rest. In this case, the digit in the second decimal place is 7, which is greater than or equal to 5. As per the rounding rules, if the digit is greater than 5, the preceding digit is increased by 1.

So, 50.272 becomes 50.3 when rounded to one decimal place.

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The algebraic expression "3(7j + 2 - 4j)" can be translated to the verbal expression "Three times the sum of seven times a number, two, and the negation of four times the same number."

The algebraic expression "3(7j + 2 - 4j)" can be translated into a verbal expression as follows: "Take a number, multiply it by seven, add two to the result, subtract four times the same number, and finally multiply the entire expression by three."

To break it down further, let's consider the variable j as the unknown number. Multiplying 7 by j gives us seven times the unknown number, 7j. Adding 2 to this term gives us 7j + 2. Then, subtracting 4j from this sum represents subtracting four times the same unknown number. So, we have 7j + 2 - 4j.

Finally, multiplying the entire expression by 3 gives us 3(7j + 2 - 4j). This means that the entire calculation described above is repeated three times.

In summary, the verbal expression for 3(7j + 2 - 4j) can be stated as "Three times the sum of seven times a number, two, and the negation of four times the same number."

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Answer:

1, 2, 7, and 14

Step-by-step explanation:

factors of 14 : 1, 2, 7, and 14

factors of 28 : 1, 2, 4, 7, 14, and 28

so then common factors between 14 and 28 are 1, 2, 7, and 14

Answer:

KL = 10

Step-by-step explanation:

Given:

 \(JL=26\)

 \(KL=3x+7\)

 \(JK=8x+8\)

From inspection of the given diagram:

\(JK+KL=JL\)

Substitute the given values into the found equation and solve for x:

\(\implies 8x+8+3x+7=26\)

\(\implies 11x+15=26\)

\(\implies 11x+15-15=26-15\)

\(\implies 11x=11\)

\(\implies \dfrac{11x}{11}=\dfrac{11}{11}\)

\(\implies x=1\)

Substitute the found value of x into the expression for KL:

\(\implies KL=3(1)+7\)

\(\implies KL=3+7\)

\(\implies KL=10\)

Formula we use,

→ JK + KL = JL

Now the value of x will be,

→ (8x + 8) + (3x + 7) = 26

→ 11x + 15 = 26

→ 11x = 26 - 15

→ x = 11/11

→ [ x = 1 ]

Then the value of KL will be,

→ 3x + 7

→ (3 × 1) + 7

→ 3 + 7 = 10

Hence, the value of KL is 10.

The solution of the expression is \(\rm \dfrac{9\times x^4}{100}\).

Given that

Equation; \(\dfrac{27x^{12}}{300x^8}\)

We have to simplify the equation.

According to the question

To simplify the equation follow all the steps given below.

Equation; \(\sqrt{\dfrac{27x^{12}}{300x^8}}\)

Then,

\(= {\dfrac{27x^{12}}{300x^8}}\\\\ = \dfrac{3\times 3\times 3 \times x^{8} \times x^{4}}{3 \times 100\times x^8}}\\\\=\dfrac{9\times x^4}{100}\)

Hence, the required expression is \(\rm \dfrac{9\times x^4}{100}\).

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Answer:

Answer is B 3/10 times 2

Step-by-step explanation: