P = 3t² + 7t
Work out the value of P when t = -4

The modal class is 70 - 80 and the mean speed is 66.4

The table of values is given as:

Speed    Frequency

40 - 50          10

50 - 60          16

60 - 70          19

70 - 80          23

80 - 90          12

The modal class is the class with the highest frequency

The class 70 - 80 has the highest frequency of 23

Hence, the modal class is 70 - 80

Rewrite the frequency table to include the class midpoints

x             f

45          10

55          16

65          19

75          23

85          12

The estimate of the mean speed is then calculated as:

[tex]\bar x =\frac{\sum fx}{\sum f}[/tex]

So, we have:

[tex]\bar x = \frac{45* 10 + 55 * 16 + 65 * 19 + 75 * 23 + 85 * 12}{80}[/tex]

Evaluate

[tex]\bar x = 66.4[/tex]

Hence, the mean speed is 66.4

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Answer:

1/6

Step-by-step explanation:

the answer is 1/6th use subtraction

Probability that the first candy selected is taffy and the second candy is caramel is 0.144.

The data missing in the question is

A box has 18 candies in it: 3 are peppermint, 4 are caramel, and 11 are taffy.

Probability can be defined as the study of likelihood of an event to happen.

It has a range of 0 to 1.

Probability is the ratio of the expected outcomes / total coutcome.

Total outcomes = 18

The probability that the first candy is taffy is 11/18

Now as there is no replacement , the total outcomes can be 17

The probability that the second candy is caramel is 4/17

Probability that the first candy selected is taffy and the second candy is caramel =  (11/18)(4/17)

= 0.144

Therefore the Probability is 0.144

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The measure of hypotenuse using the ruler is 25.5 cm and using the formula is 23.43 cm, they are not same, and formula can be used to in the real life problems as well.

It is a triangle in which one of the angles is 90 degrees and the other two are sharp angles. The sides of a right-angled triangle are known as the hypotenuse, perpendicular, and base.

The question is incomplete:

The complete question is:

Present a picture of an object (TV, Ipad Screen, Book Cover) that contains a right angle (it could be something in nature or that is man-made). Use a ruler or measuring tape to measure the two sides that make the right angle and measure the distance from the end of one side to the end of the other side (hypotenuse). Draw a diagram of the object including the measurements. Use your leg measurements on your diagram to calculate a theoretical hypotenuse. (Show all steps).

We are assuming the length of one side x:

x = 18 cm

Length of other side y:

y = 15 cm

And length of the hypotenuse z:

z = 23.5 cm

From the Pythagoras theorem:

z² = x² + y²

z² = 18² + 15²

z² = 549

z = √54 = 23.43 cm

The measure of hypotenuse is:

Using ruler: x = 25.5 cm

Using formula: x = 23.43 cm

They are not equal due to the reading in the ruler.

The formula can be used to in the real life problems as well.

Thus, the measure of hypotenuse using the ruler is 25.5 cm and using the formula is 23.43 cm, they are not same, and formula can be used to in the real life problems as well.

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Answer:

see the attachment photo!

Answer:

Step-by-step explanation:

f: x→ 5x-8

a. f(-4) = 5(-4) - 8 = -20 - 8. = -28

b. the value of x whose image is 12

To find the value of x ,we have to solve f(x) = 12

f(x) = 12

⇔ 5x-8 = 12

⇔ 5x = 12 + 8

⇔ 5x = 20

⇔ x =  20 ÷ 5 = 4

Answer: F = - 2/7

Step-by-step explanation:

[tex]f(x) = x + 9\\f(-7) = -7 + 9\\f(-7) = 2\\f = -\frac{2}{7}[/tex]

Answer:

2,304 inches

Step-by-step explanation:

1 square foot = 144 square inches

16 x 144 = 2,304 square inches

[tex]\displaystyle\\\binom{15}{3}\cdot\binom{5}{2}=\dfrac{15!}{3!12!}\cdot\dfrac{5!}{2!3!}=\dfrac{13\cdot14\cdot15}{2\cdot3}\cdot\dfrac{4\cdot5}{2}=13\cdot7\cdot5\cdot2\cdot5=4550[/tex]

1d) ↑ (Do the same but turned if that's easier)

1a) 199

1b) 193

1c) 217

1e) Based on the box plot, we can for example, find the lowest and greatest values, the range (largest - smallest), the mean (all values / # values), and the median middle value or q2 given by the second line in the box.

2b) 7

2c) 9.5

2d) ↑

2e) because the data is not ordered, it is difficult to determine the quartile data. Once it is ordered like 6, 7, 7, 7, 8, 8, 9, 10, 10. The data can be visualized alot easier. With the box plot we can determine q3 of the data by looking at the 3rd line, using the whiskers of the box to find the minimum and maximum values.

3)

You need to find the minimum, maximum, the quartile data obtained by having an even amount of data on both sides, order it so that values can be grouped. this includes q1, q2 (or median), and q3.

In this case the ordered data would be: 4,6,8,8,9,11,12,14,14,16.

[4, 6, 8, 8, 9] [] [11, 12, 14, 14, 16]

4 is the minimum, 16 is the maximum, q1 is 8, q3 is 14, and median is 10.

4) ↑

5)

You need to find the minimum, maximum, the quartile data obtained by having an even amount of data on both sides, order it so that values can be grouped. this includes q1, q2 (or median), and q3.

In this case the ordered data would be:

45, 45, 50, 55, 60, 70, 70, 75, 80, 85

[45, 45, 50, 55, 60] [] [70, 70, 75, 80, 85]

45 is the minimum, 85 is the maximum, q1 is 50, q3 is 75, and median is 65.

6) ↑

Answer:

Step-by-step explanation:

consider the events F and S :

F : «the first point is placed on JL»

S : «the second point is not placed on KL»

F∩S : «a point on JM is placed first on JL and a second point is not placed on KL»

[tex]p\left( F\right) =\frac{JL}{JM} =\frac{10}{16} =\frac{5}{8}[/tex]

[tex]p\left( \overline{S} \right) =\frac{KL}{JM} =\frac{6}{16} =\frac{3}{8}[/tex]

[tex]\Longrightarrow p\left( S\right) =1-p\left( \overline{S} \right) =1-\frac{3}{8} =\frac{5}{8}[/tex]

[tex]p\left( F\cap S\right) =p\left( F\right) \times p\left( S\right) =\frac{5}{8} \times \frac{5}{8} =\frac{25}{64}[/tex]

Answer:

4 7/15 miles

Step-by-step explanation:

1 2/3 + 2 4/5

Make alike denominators by multiplying 1 2/3 by 5 and 2 4/5 by 3

1 10/15 + 2 12/15 = 3 22/15

4 7/15 miles altogether that was walked

Give brainliest please!

Hope this helps :)

Using the binomial distribution, it is found that approximately 156 cards must be drawn from the deck before players' tokens move forward 50 times.

It is the probability of exactly x successes on n repeated trials, with p probability of a success on each trial.

The expected number of trials until q successes is:

[tex]E_s(X) = \frac{q}{p}[/tex]

In this problem, the parameters are given as follows:

q = 50, p = 0.32.

Hence:

[tex]E_s(X) = \frac{50}{0.32} = 156[/tex]

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Answer:

6545

Step-by-step explanation:

i spent time on this. i had to type out everything. by. hand.

see calculator image for proof. enjoy.

Answer: 6,555 im good at trig and using the pythagorean therum

Step-by-step explanation: brainliest?

Answer:

uhm smhtn

Step-by-step explanation:

i really just want points.

Answer:

(0,infinity)

Step-by-step explanation:

.

Answer:

Area= 288

Perimeter= 72

Step-by-step explanation:

In order to get the area of a rectangle, you multiply the length by the width, 24x12=288.

In order to find the perimeter just add all of the sides, there are 2 sides with a length of 24, and two sides with a width of 12.

24+24+12+12=72

Answer:

A. 65 degrees

Step-by-step explanation:

The required measure of the angle c in the quadrilateral is given as 65°.

As mentioned in the question,
A quadrilateral is inscribed in a circle o. the angle measures the quadrilateral in degrees is given by the expressions shown in the figure.

Orientation of the one line with respect to the horizontal or other respective line is known as a measure of orientation and this measure is known as the angle.

Here,
In a quadrilateral, the sum of the composite angle is equal to 180°,
∠A + ∠C = 180
130 -x + 95 -2x = 180
-3x = 180 - 225
x = 15

Now,
∠c = 95 - 2x
∠c = 95 - 2×15
∠c = 65

Thus, the required measure of the angle c in the quadrilateral is given as 65°.

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Answer:

x = 1

Step-by-step explanation:

Radical expression:

Let's find the value of x.

Solved:

√(x+3)-1 = x

Transpose -1 to RHS:

Squaring both LHS and RHS,we have:

Subtracting x^2+2x+1 from both sides,we have:

Factoring LHS,we have:

Setting (-x+1) = 0 and (x+2) = 0 each time:

Now

There are two solutions– (1,-2)

Let's plug to the given equation to check.

√(x+3) -1 = x

Equation is true,when plugged to x = 1.

√(x+3) -1 = x

Equation is false,when plugged to x = -2.

Hence,the value of x is 1.

-Regards,Hannah

Answer: 1, 3

For a cubic polynomial, there are either 3 real roots or 1 real root nad 2 complex roots in a conjugate pair.

Mike's claim that (5,28.6) is a point on the exponential function g(x) is incorrect

The points are given as:

(3,6.5) and (4,17.55)

An exponential equation is represented as:

[tex]y = ab^x[/tex]

Using the given points, we have the following equations:

[tex]ab^3 = 6.5[/tex]

[tex]ab^4 = 17.55[/tex]

Divide both equations:

[tex]ab^4 \div ab^3 = 17.55 \div 6.5[/tex]

Evaluate

b = 2.7

Substitute b = 2.7 in [tex]ab^3 = 6.5[/tex]

[tex]a * 2.7^3 = 6.5[/tex]

Solve for a

[tex]a = \frac{6.5}{2.7^3}[/tex]

Substitute [tex]a = \frac{6.5}{2.7^3}[/tex] and b = 2.7 in [tex]y = ab^x[/tex]

[tex]y = \frac{6.5}{2.7^3} * 2.7^x[/tex]

His point (5,28.6) means that:

x = 5 when y = 28.6

Substitute x = 5 in [tex]y = \frac{6.5}{2.7^3} * 2.7^x[/tex]

[tex]y = \frac{6.5}{2.7^3} * 2.7^5[/tex]

Evaluate

y = 47.385

y = 47.385 and y = 28.6 are not the same

Hence, Mike's claim is incorrect

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The expression of the inequality word problems for each question is; As expressed below

A) x is negative. This can be expressed as;

x < 0

B) y is non-negative. This can be expressed as;

y > 0

C) q is less than or equal to is expressed as; q ≤

D) d is between 2 and 1 is expressed as 1 < d < 2

E) t is not less than 5 is t ≥ 5

F) The negative of z is not greater than 3 is expressed as;

−z ≤ 3

G) The quotient of p and q is at most 6 is expressed as; p/q ≤ 6

H) The reciprocal of w is at least 9 is 1/w ≥ 9.

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Using the image given, the angles that are Alternate Exterior Angles are: 1, 2, 3, 4,13,14, 18, 19.

These are known to be the Alternate exterior angles that are regarded as the pair of angles found on the outer side of the two parallel lines but they are seen on the opposite side of the transversal.

Note that in the image given, there are two parallel lines and two transversal lines.

Note also that to get the Alternate exterior angles, it has to be the angles seen on the seen on the opposite side of the transversal that has crossed the parallels lines and from the image given, only angle 1, 2, 3, 4,13,14, 18, 19 fit into the description.

Therefore, Using the image given, the angles that are Alternate Exterior Angles are: 1, 2, 3, 4,13,14, 18 19.

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Answer:

Step-by-step explanation:

Equation

√(x + 5) - 1 = 2                      I take it that you want the 5 to be with the x.

Solution

√(x + 5) - 1 = 2                      Add 1 to both sides

√(x + 5) - 1 +1 = 2 + 1            Combine

√(x + 5)  = 3                         Square both sides

√(x + 5)²  = 3²                      Combine

x + 5 = 9                               Subtract 5 from both sides

x + 5- 5 = 9- 5

x = 4

Answer x = 4

[tex]|\Omega|=45\cdot44=1980\\|A|=15\cdot14\cdot3=630\\\\P(A)=\dfrac{630}{1980}=\dfrac{7}{22}\approx31.8\%[/tex]

Answer:

Step-by-step explanation:

Find the value of x.

5+x=7

x = [?]

5 + x = 7

x = 7 - 5

x = 2

----------------check

5 + 2 = 7

7 = 7

the answer is good

If two triangles are similar, then their side lengths are proportional.

RS / JK = RT / JL

5 / x = 4 / 7

4x = 35

x = 35/4 = 8.75

RT / JL = TS / LK

4 / 7 = 6 / (y + 2)

42 = 4(y + 2)

42 = 4y + 4

4y = 38

y = 38/4 = 9.5

LK = 9.5 + 2 = 11.5 cm

JK = x = 8.75

Hope this helps!

The simplification form of the expression 8 3/8 + 3 3/8 + 2 3/8 + 3/8 is 14 whole 1/2 or 14 1/2 after adding all the terms.

It is defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has a basic four operators that is +, -, ×, and ÷.

We have an expression:

[tex]= 8 \dfrac{3}{8} + 3 \dfrac{3}{8} + 2 \dfrac{3}{8} + \dfrac{3}{8}[/tex]

After simplification:

[tex]= \dfrac{67}{8} + \dfrac{27}{8} + \dfrac{19}{8} + \dfrac{3}{8}[/tex]

[tex]= \dfrac{67+27+19+3}{8}[/tex]

= 116/8

= 29/2

[tex]= 14\dfrac{1}{2}[/tex]

Thus, the simplification form of the expression 8 3/8 + 3 3/8 + 2 3/8 + 3/8 is 14 whole 1/2 or 14 1/2 after adding all the terms.

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Answer:

i dont understand your question

Step-by-step explanation: