What is the probability that a random sample of 10 second grade students from the city results in a mean reading rate of more than 96 words per​ minute

The line of reflection of the graph is y = -3

The given graph is added as an attachment

From the graph, we can see that the shapes are symmetrical about the line y = -3

When shapes are symmetrical about a point or a line, then the point or the line is the point of reflection

This means that the line of reflection is y = -3

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Answer:

The calculated line of reflection of the graph is y = -3

Step-by-step explanation:

The simplified expression involving complex numbers is given as follows:

5 + 5i.

Complex numbers are number that have a real and an imaginary part, and are defined as follows:

z = a + bi.

In which:

The basic relation of complex numbers is given as follows:

i² = -1.

The fraction for this problem is given as follows:

(2 + i)(4 - 2i)/(1 + i).

The numerator is simplified as follows:

(2 + i)(4 - 2i) = 8 - 4i + 4i - 2i² = 8 + 2 = 10.

Hence the fraction is of:

10/(1 + i).

To remove the complex number from the denominator, the entire fraction is multiplied by the conjugate of the denominator, hence:

10/(1 + i) x (1 - i)/(1 - i) = 10(1 + i)/(1 - i²) = 10(i + 1)/2 = 5 + 5i.

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The measure of an arc in a circle is determined by the central angle that subtends it. Let's analyze each given measure of the indicated arcs:

90°: A 90° arc spans one-fourth of the entire circle since a full circle has 360°.

80°: An 80° arc is smaller than a quarter of the circle but larger than a sixth since 360° divided by 4 is 90°, and by 6 is 60°. Therefore, it lies between these two values.

100°: A 100° arc is slightly larger than a quarter of the circle but smaller than a third, as 360° divided by 4 is 90°, and by 3 is 120°.

70°: A 70° arc is smaller than both a quarter and a sixth of the circle, falling between 60° and 90°.

H: The measure of an arc denoted by "H" is not provided, so it cannot be determined without further information.

40°: A 40° arc is smaller than a sixth of the circle but larger than a twelfth, as 360° divided by 6 is 60°, and by 12 is 30°.

F: Similarly, the measure of the arc denoted by "F" is not provided, so it remains unknown without additional data.

Thus, the measures of the indicated arcs are as follows: 90°, between 60° and 90°, between 90° and 120°, between 60° and 90°, unknown (H), between 30° and 60°, and unknown (F).

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The temperature at the bottom of the mountain is 50.9 °C.

Let's work through the given information step by step to find the temperature at the bottom of the mountain.

The temperature in the hotel is 21 °C.

The temperature in the hotel is 26.7 °C warmer than at the top of the mountain.

Let's denote the temperature at the top of the mountain as T_top.

So, the temperature in the hotel can be expressed as T_top + 26.7 °C.

The temperature at the top of the mountain is 3.2 °C colder than at the bottom of the mountain.

Let's denote the temperature at the bottom of the mountain as T_bottom.

So, the temperature at the top of the mountain can be expressed as T_bottom - 3.2 °C.

Now, let's combine the information we have:

T_top + 26.7 °C = T_bottom - 3.2 °C

To find the temperature at the bottom of the mountain (T_bottom), we need to isolate it on one side of the equation. Let's do the calculations:

T_bottom = T_top + 26.7 °C + 3.2 °C

T_bottom = T_top + 29.9 °C

Since we know that the temperature in the hotel is 21 °C, we can substitute T_top with 21 °C:

T_bottom = 21 °C + 29.9 °C

T_bottom = 50.9 °C

Therefore, the temperature at the bottom of the mountain is 50.9 °C.

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Answer:

1.57ft

Step-by-step explanation:

The circumference is twice the radius times pi.

C=2πr

C=2·π·5

C=10π

C=31.4159265359

We know that KL is 18° of that (180-162).

So we get the formula

31.4159265359÷360x18=1.57

From your earlier questions, we found

\(2\sin(4\pi t)+5\cos(4\pi t)=\sqrt{29}\sin\left(4\pi t+\tan^{-1}\left(\dfrac52\right)\right)\)

so the wave has amplitude √29. The weight's maximum negative position from equilibrium is then -√29, so you are solving for t in the given interval for which

\(\sqrt{29}\sin\left(4\pi t+\tan^{-1}\left(\dfrac52\right)\right)=-\dfrac{\sqrt{29}}2\)

Divide both sides by √29:

\(\sin\left(4\pi t+\tan^{-1}\left(\dfrac52\right)\right)=-\dfrac12\)

Take the inverse sine of both sides, noting that we get two possible solution sets because we have

\(\sin\left(\dfrac{7\pi}6\right)=\sin\left(\dfrac{11\pi}6\right)=-\dfrac12\)

and the sine wave has period 2π, so \(\sin x=\sin(x+2\pi)=\sin(x+4\pi)=\cdots\).

\(\implies 4\pi t+\tan^{-1}\left(\dfrac52\right)=\dfrac{7\pi}6+2n\pi\)

OR

\(\implies 4\pi t+\tan^{-1}\left(\dfrac52\right)=\dfrac{11\pi}6+2n\pi\)

where n is any integer.

Now solve for t :

\(t=\dfrac{\frac{7\pi}6+2n\pi-\tan^{-1}\left(\frac52\right)}{4\pi}\)

OR

\(t=\dfrac{\frac{11\pi}6+2n\pi-\tan^{-1}\left(\frac52\right)}{4\pi}\)

We get solutions between 0 and 0.5 when n = 0 of t ≈ 0.196946 and t ≈ 0.363613.

Answer:

1/5

Step-by-step explanation:

I put it in a graphing calculator and converted it into a fraction

Answer:

c = 3

Step-by-step explanation:

\( 32^{2c} = 8^{c + 7} \)

\( (2^5)^{2c} = (2^3)^{c + 7} \)

\( 2^{10c} = 2^{3c + 21} \)

\( 10c = 3c + 21 \)

\( 7c = 21 \)

\( c = 3 \)

Using proportional reasoning, we can predict that there will be 40 red candies in the large bag.

Using proportional reasoning, we can set up and solve the following equation to determine the number of red candies in the large bag:

P = Proportion of red candies in the large bag

R = Red candies in the small bag

R × (33/9) = P

12 × (33/9) = P

P = 40 red candies in the large bag

Therefore, using proportional reasoning, we can predict that there will be 40 red candies in the large bag.

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Answer:

An equation in the slope-intercept form is:

y = a*x + b

Where a is the slope, and b is the y-intercept.

a)

Here we have a slope of 6 and a y-intercept of -3

Then the equation is:

y = 6*x - 3

Now we want to graph this.

To graph it, we first need to find two points (x, y) that belong to this equation, then we can graph the points, and connect them with a line.

To find the points, we evaluate in two different values of x.

x = 0

y = 6*0 - 3 = -3

Then we have the point (0, -3)

x = 1

y = 6*1 - 3 = 3

Then we have the point (1, 3)

The graph of this line can be seen in the image below (the red one)

b) Similar to before, here the slope is -3/5, then the equation is something like:

y = (-3/5)*x + b

Now we also know that the line passes through the point (-10, 8)

This means that when x = -10, we must have y = 8

Replacing these two in the equation we get:

8 = (-3/5)*-10 + b

8 = 6 + b

8 - 6 = 2 = b

Then this equation is:

y = (-3/5)*X + 2

The graph can be found in the same way as before, the graph of this function can also be seen in the image below (the green one)

Answer:

2 m/s

Step-by-step explanation:

Answer:

2m/s²

Step-by-step explanation:

acceleration= v-u/t

=3-1/1

=2m/s²

Answer: 23100 voters

Step-by-step explanation:

42*55000=2310000

2310000/100=23100 voters

The sequence is decreasing as n increases and sequence converges to the value 0.

The given sequence is defined as aₙ = 1 / (7n + 3).

To determine if the sequence converges or diverges, we need to analyze its behavior as n approaches infinity.

As n increases, the denominator 7n + 3 also increases which means that the values of aₙ will get smaller and smaller, approaching zero as n becomes larger.

The sequence converges to the value 0.

The sequence is decreasing as n increases.

The sequence converges to the value 0.

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Answer:

a) Hence the endpoints of a t-distribution with 5% beyond them in each tail if the sample has size n=12 is ± 1.796.

b) Hence the endpoints of a t-distribution with 1% beyond them in each tail if the sample has size n=20 is ± 2.539.

Step-by-step explanation:

Here the answer is given as follows,

Answer:

See below

Step-by-step explanation:

If I did the math numbers correctly :  ( a = 51° too)

Answer: the 1 is > the one below it is < the one next to it unknown

and the one next to it is > and the last one is =

branliyist please

Step-by-step explanation:

Answer:

1 1/2

Step-by-step explanation:

1/4 + 1/3 + 11/12

Multiplying the equations to have a common denominator (12).

1/4 times 3 = 3/12

1/3 times 4 = 4/12

3/12 + 4/12 + 11/12

Then add.

18/12

Then convert to mixed fraction.

1 6/12

Then simplify the fraction.

1 1/2

=1×4/4×3+1×4/3×4+11/12

=3/12+4/12+11/12

=3/2

Answer:

Mathematics uses numbers and data to find ways to describe relationships, importance, value, dependency/independency of variables, and many other things. These computations and concepts are essential to the world because of our human need to make comparisons and place value on things.

Step-by-step explanation:

Answer:

math means to me

a boring hard subject

Step-by-step explanation:

The amount of risk in each plan is a measure of the expected value of the plans.

Plan A has the least amount of risk

For plan A, we have:

\(\left[\begin{array}{cc}Payout&P(Payout)\\-\$5000&0.14&\$30000&0.37&\$55000&0.49\end{array}\right]\)

The expected value of the plan is:

\(Plan = \sum Payout \times P(Payout)\)

So, we have:

\(Plan\ A= -\$5000 \times 0.14 + \$30000 \times 0.37 + \$55000 \times 0.49\)

\(Plan\ A= \$37350\)

For plan B, we have:

\(\left[\begin{array}{cc}Payout&P(Payout)\\\$5000&0.34&\$30000&0.26&\$60000&0.4\end{array}\right]\)

The expected value of the plan is:

\(Plan = \sum Payout \times P(Payout)\)

So, we have:

\(Plan\ B = \$5000 \times 0.34 + \$30000 \times 0.26 + \$60000 \times 0.4\)

\(Plan\ B = \$33500\)

The expected value of plan A is greater than the expected value of plan B.

This means that: Plan A has the least amount of risk

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Answer:

slope = -5 equation= y=-5x+100

Step-by-step explanation:

pick the x and y intercepts as your points to find the gradient that is

(20,0) and (0,100)

slope =∆y/∆x

=100/-20

= -5

take point(20,0) and (x,y) to find equation using the slope

equation becomes y= -5x+100

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Answer:

Proportional relationships are relationships between two variables where their ratios are equivalent. Another way to think about them is that, in a proportional relationship, one variable is always a constant value times the other. That constant is know as the "constant of proportionality

Step-by-step explanation:

Answer:

SA=78.5

Step-by-step explanation:

Find the area to all visible sides. 4*2.5=10, 10*2 (because there is two of these shapes) is 20. 4.5*4=18, 18*2=36. Finally, 4.5*2.5=11.25, 11.25*2=22.5.

20+36+22.5=78.5

Answer:

a) $141.5 = 330m + b...... Equation 1

$337.5 = 890m + b..... Equation 2

b) $244.4

Step-by-step explanation:

The phone company Splint has a monthly cellular plan where a customer pays a flat monthly fee and then a certain amount of money per minute used on the phone. If a customer uses 330 minutes, the monthly cost will be $141.5. If the customer uses 890 minutes, the monthly cost will be $337.5.

Required:

a. Find an equation in the form y= mx +b, where x is the number of monthly minutes used and y is the total monthly of the Splint plan.

If a customer uses 330 minutes, the monthly cost will be $141.5.

y = mx + b

$141.5 = 330m + b

If the customer uses 890 minutes, the monthly cost will be $337.5.

$337.5 = 890m + b

Combining the equations

$141.5 = 330m + b...... Equation 1

$337.5 = 890m + b..... Equation 2

b. Use your equation to find the total monthly cost if 624 minutes are used

Combining the equations

$141.5 = 330m + b...... Equation 1

$337.5 = 890m + b..... Equation 2

We Subtract Equation 2 from 1

-196 = -560m

m = -196/-560

m = 0.35

$337.5 = 890m + b..... Equation 2

$337.5 = 890 × 0.35 + b

$337.5 - 311.5 = b

b = 26

When x = 624

y = 624× m + b

m = 0.35 , b = 26

y = 624 × 0.35 + 26

y = 218.4 + 26

y = $ 244.4

Answer:

Isolate the variable by dividing each side by factors that don't contain the variable.

x=0

Step-by-step explanation:

Answer:

its a, the first one

Step-by-step explanation:

i graphed it have a good day (:

Answer:

B

Step-by-step explanation:

3 power of 4 equal to 81

3 power of 2 equal to 9

81/9 = 9

Answer: B. 9

Step-by-step explanation: To convert 3 to the 4th power/ 3 to the second power, then you’ll have to figure out the whole number form of both integers. Next, you‘ll have to divide both whole numbers (81 & 9). 81 ÷ 9 =  9. So, your final answer should be B. 9.

Answer:

7

Step-by-step explanation:

→ Find the scale factor

30 ÷ 25 = 1.2

→ Multiply answer by 20

20 × 1.2 = 24

→ Equate equation to 24

4x - 4 = 24

→ Add 4 to both sides

4x = 28

→ Divide both sides by 4

x = 7