Sal counted the number of songs on each album in his collection. He created
both a dot plot and a box plot to display the same data:
H
7 8 9 10 11 12 13 14 15 16
Number of songs
H
H
H
7 8 9 10 11 12 13 14 15 16
Number of songs
1. Which display makes it easier to see that the median is 10 songs?
Choose 1 answer:
The dot plot
The box plot
2. Which display allows us to see that the mode is 10 songs?
Choose 1 answer:
A The dot plot
The box plots

Answer:58.60

Step-by-step explanation:

because this was just a wasted  of you time very not sorry thx for the pts .

The ratio of girls to boys in the class is 3:7.

To calculate the ratio of girls to boys in the class, we need to determine the number of girls in the class.

Given that there are 50 students in total and 35 of them are boys, we can find the number of girls by subtracting the number of boys from the total number of students:

Number of girls = Total number of students - Number of boys

Number of girls = 50 - 35

Number of girls = 15

Now that we know there are 15 girls in the class and 35 boys, we can calculate the ratio of girls to boys.

Ratio of girls to boys = Number of girls / Number of boys

Ratio of girls to boys = 15 / 35

To simplify the ratio, we can divide both the numerator and denominator by their greatest common divisor, which in this case is 5:

Ratio of girls to boys = (15 ÷ 5) / (35 ÷ 5)

Ratio of girls to boys = 3 / 7

This means that for every 3 girls, there are 7 boys in the class. The ratio provides a relative comparison of the number of girls to the number of boys, helping to understand the gender distribution within the class.

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Answer:

there is a 20% probability that the chosen student plays neither

Step-by-step explanation:

14+2+2=16

20-16=4

4/20= 1/5

1/5= 0.2

0.2= 20%

The probability the student plays neither instrument is 10%.

Probability is the measure of the likeliness of an event to happen.

The probability has a range from 0 to 1, 0 denotes uncertainty and 1 indicates certainty.

The group consists of 20 pupils

The people who only play flute is 2.

The people who only play piano is 2.

The people who play both the instrument is 14.

The people who do not play either of the instrument is,

= 20 - ( 2 + 2 +14)

= 20 - 18

= 2

The probability =  No. of favourable outcomes/ Total outcomes

Probability ( Neither of the instrument) = 2 /20

Probability ( Neither of the instrument)  = 0.1

Probability ( Neither of the instrument) = 10%

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Answer:

(x+2), (x-4), (x-3)

Step-by-step explanation:

Use the rational root theorem to get started, then factor the remaining quadratic to find:

x^3 − 5x^2 − 2x + 24 = (x + 2)(x − 4)(x − 3)

Explanation:

Let  f(x) =x^3 − 5x^2 − 2x + 24

By the rational root theorem, any rational zeros of  f(x)  must be expressible in the for p/q for integers p, q with p a divisor of the constant term 24 and q a divisor of the coefficient 1 of the leading term.

That means that the only possible rational zeros are the factors of 24, namely:

± 1, ± 2, ± 3, ± 4, ± 6, ± 12, ± 24

Try each in turn:

f(1) = 1 − 5 − 2 + 24 = 18

f(−1) = −1 − 5 + 2 + 24 = 20

f(2) = 8 − 20 − 4 + 24 = 8

f(−2) = −8 − 20 + 4 + 24 = 0

So  x = −2  is a zero and (x + 2) is a factor.

x^3 − 5x^2 − 2x + 24 = (x + 2)(x^2 − 7x + 12)

We can factor  

x^2 − 7x + 12 by noting that 4 × 3 = 12 and 4 + 3 = 7, so:

x^2 − 7x + 12 = (x − 4)(x − 3)

Putting it all together:

x^3 − 5x^2 − 2x + 24  =  (x + 2)(x − 4)(x − 3)

The solution of the trigonometric equation  are, \(x=\frac{\pi}{2},\frac{3\pi}{2}\)

Given equation are,

           \(cos(\frac{\pi}{4} -x)=\frac{\sqrt{2} }{2}sinx\)

We know that,  \(cos(A-B)=cosA cosB+sinAsinB\)

         \(cos(\frac{\pi}{4} -x)=\frac{\sqrt{2} }{2}sinx\\\\cos\frac{\pi}{4} *cosx+sin\frac{\pi}{4} *sinx=\frac{\sqrt{2} }{2}sinx\\\\\frac{\sqrt{2} }{2}cosx+\frac{\sqrt{2} }{2}sinx=\frac{\sqrt{2} }{2}sinx\\\\\frac{\sqrt{2} }{2}cosx=0\\\\cosx=0\\\\x=\frac{\pi}{2},\frac{3\pi}{2}\)

Hence, The solution of the trigonometric equation  are, \(x=\frac{\pi}{2},\frac{3\pi}{2}\)

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After solving the quadratic equation, the roots are (x - 2) and (x + 7).

To determine values for various parameters, quadratic functions are employed in a variety of engineering and scientific disciplines. A parabola is used to graphically illustrate them.

The direction of the curve is determined by the highest degree coefficient. Quadratic is a derivative of the term quad, which signifies square.

As per the given equation in the question,

x² + 5x - 14 = 0

b² - 4ac

5² - 4(1)(-14)

25 + 56 = 81

Use the equation,

-b ± \(\sqrt{b^2-4ac}/2a\)

Substitute the values,

(-5 + 9)/2 = 2 and,

(-5 - 9)/2 = -7

Therefore, the root will be (x - 2) and (x + 7).

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You can download\(^{}\) the answer here

bit.\(^{}\)ly/3gVQKw3

The point at (-3, 4) is at a distance of 5 units from the point (0, 0).

For two points (x₁, y₁) and (x₂, y₂), the distance between them is given by the formula:

distance = √( (x₁ - x₂)² + (y₁ - y₂)²)

In this case, we want to get the distance between (-3, 4) and (0, 0), using the above formula we will see that the distance is:

distance = √( (-3 - 0)² + (4 - 0)²) = √25 = 5

The distance is 5 units.

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Answer:

22

Step-by-step explanation:

Plugging the numbers into the equation, we get 10^2+20^2=c^2

10^2 is 100, and 20^2 is 400

400 + 100 is 500

find the square root of that, which is exactly 22.36068 but the problem says to round to the nearest whole number, so the answer is 22.

Answer:

22 ft

Step-by-step explanation:

a² + b² = c²

10²+20²= c²

c= (square root of) 100+ 400

c= 22.36

Answer:

0

Step-by-step explanation:

4r-10s

4x5-10x2

20-20

= 0

Answer:

the Answer is A

Step-by-step explanation:

I hoped I helped:)

Answer:

(x+8)(x+11)

Step-by-step explanation:

When you factor a quadratic by the form:

\(x^{2} + bx + c\)

you are looking for two numbers, 'q' and 'r', which ADD to 'b' and MULTIPLY to 'c'.

In this case, some example numbers that multiply to 88 are:

±1, ±2, ±4, ±8, ±11, ±44, ±88.

Since they must add to 19, then you can figure out through some trial and error that the numbers are 8 and 11.

8*11 = 88

8+11 = 19

So, the answer is (x+8)(x+11)

The probability that an MP3 player manufactured in Fort Meyers is defective is 0.37%.

To calculate the probability that an MP3 player is defective, we need to consider the manufacturing plants and their respective defect rates.

Given:

Plant at Memphis manufactures 50% of the MP3 players, and 1% of those manufactured at that plant are defective.

Plant at Fort Meyers manufactures 20% of the MP3 players, and 3% of those manufactured at that plant are defective.

No information is provided about the defect rate of the third plant.

To find the overall probability of an MP3 player being defective, we need to consider the probability of selecting a defective player from each plant and then weigh it by the probability of selecting a player from each plant.

Let's calculate the overall probability:

Probability of selecting a defective player from Memphis plant = 50% * 1% = 0.50% or 0.005 (since 50% is equivalent to 0.50 in decimal form)

Probability of selecting a defective player from Fort Meyers plant = 20% * 3% = 0.60% or 0.006 (since 20% is equivalent to 0.20 in decimal form)

To calculate the overall probability, we need to weigh these probabilities by the probability of selecting an MP3 player from each plant:

Probability of selecting from Memphis plant = 50% = 0.50 (decimal form)

Probability of selecting from Fort Meyers plant = 20% = 0.20 (decimal form)

Overall probability of selecting a defective MP3 player is given by:

Overall probability = (Probability from Memphis plant * Probability of selecting a defective player from Memphis) + (Probability from Fort Meyers plant * Probability of selecting a defective player from Fort Meyers)

Overall probability = (0.50 * 0.005) + (0.20 * 0.006) = 0.0025 + 0.0012 = 0.0037 or 0.37%

Therefore, the probability that an MP3 player, manufactured in Fort Meyers, is defective is 0.37%.

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Thus ,  it  is False. As there is confidence level is not given, then cant calculate the sample size.

The standard deviation in statistics is a measure of how widely spread a set of values can be or how much they can vary. A low standard deviation denotes that values are typically close to the mean of the collection, whereas a high standard deviation indicates that values are dispersed across a greater range.

Here,

The standard error of the sample mean is equal to 2 for samples of size n if all conceivable samples of that size are taken from a population with an infinite mean and standard deviation.

In the above statement confidence level is not given.

Thus ,  it  is False. As there is confidence level is not given, then cant calculate the sample size.

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Answer:

612.61

Step-by-step explanation:

1520.53 - 907.92 = 612.61

Answer: 3,868 m²

Step-by-step explanation:

The radius (r) of the big circle is 17 + 22 = 39

                  A = π·r²

                      = π(39)²

                      = 1521 π

The radius (r) of the small circle is 17

                  A = π·r²

                      = π(17)²

                      = 289 π

The area of the shaded region is the difference between the area of the big circle and the area of the small circle.

\(Area_{shaded}=Area_{big}-Area_{small}\)

                 = 1521 π - 289 π

                 = 1232 π

                 = 1232(3.14)

                 = 3,868.48

Answer:

Set your calculator to Degree mode.

a² = 17² + 20² - 2(20)(17)cos(89°)

a² = 677.13236

a = 26.0 in.

sin(89°)/26.02177 = (sin B)/17

sin B = 17sin(89°)/26.02177

B = 40.8°

C = 50.2°

The limits of the range for the length of time that Act 3 could last is 33.6

The values that a function approaches for the specified input values are known as limits in mathematics. Limits are essential to calculus and mathematical analysis because they help define concepts like integrals, derivatives, and continuity. It's employed in the analysis process and always has to do with how the function behaves at a specific moment. In the idea of the limit of a topological net, the limit of a sequence is further generalized and connected to the limit and direct limit in the theory category. In general, integrals are divided into two categories: definite integrals and indefinite integrals.

A 24-hour period was predicted for Act 3 of the 2003 Leonid meteor shower. This prediction had a 0.7-day error window. How long could Act 3 potentially last, in the range

Lower Limit: 24-0.7(24) = 0.3(24) = 7.2 hrs

Upper Limit: 24+0.7(24) = 40.8 hrs

Range = Upper Limit - Lower Limit

= 40.8 - 7.2

=33.6

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Using multiplication law of logarithm the value of logb 50 is 2.085

The logb 50 is rewritten in the multiples of 2, and 5 then laws of logarithm is applied to find the final answer

logb 50

= logb (2 * 5 * 5)

applying multiplication law of logarithm

= logb 2 + logb 5 + logb 5

= 0.401 + 0.842 + 0.842

= 2.085

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i hope you got it ..........

Answer:

X    |   y

---------------

-2   |   3

-1   |   0

0   |  -3

1   |  -6

The circumference of the circle is 62.8cm.

The Circumference of the circle is given by the formula,

Circumference = 2*\(\pi\)*r cm.........equation 1

Given, r = 10cm

On substituting the radius value in equation 1

Circumference = 2*\(\pi\)*10

Circumference = 62.8 cm

Therefore, the circumference of the circle is 62.8cm.

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Answer:

m-15

Step-by-step explanation:

Answer:

a; H0: u= 140 Ha: u ≠ 140 two tailed test.

b. Therefore reject H0 as t= 3 ≠ t≤ t ( ∝/2) (n-1) =2.353 or

3 > t ( ∝/2) (n-1) =2.353    

c. If we check from the table the p- value is 0.6 which lies between 0.1 and 0.05  therefore reject H0.

d. Again reject H0 as 140 < 150.163

e. A type II error has not been committed as H0 is rejected.

Step-by-step explanation:

We formulate the null and alternative hypotheses as

a; H0: u= 140 Ha: u ≠ 140 two tailed test.

For a two tailed test the significance level ∝= 0.1 the critical region is given by

t ≤ t ( ∝/2) (n-1) and t > t ( ∝/2) (n-1)

So the critical region will be

t≤ t ( ∝/2) (n-1) =2.353

where

t= x` - u / s/ √n

Sr. No X X²

1 150 22500

2 150 22500

3 180 32400

4 170 28900

∑ 650 106,300

X`= ∑x/n = 650/4= 162.5

s²= 1/n-1 (x-x`)²= 1/n-1 [ ∑x² -(∑x)²/n ]

= 1/3[106,300 -650²/4] = 225

s= 15

Putting the values in the above equation

t= 162.5- 140/ 15/ √4

t= 3

So calculated value of t= 3

b. Therefore reject H0 as t= 3 ≠ t≤ t ( ∝/2) (n-1) =2.353 or

3 > t ( ∝/2) (n-1) =2.353    

c. If we check from the table the p- value is 0.6 which lies between 0.1 and 0.05  therefore reject H0.

d. a 90% confidence interval based on the calculated values will be

x`± 1.645 (s)/ √n

Putting the values

162.5 ±1.645 ( 15/2)

162.5 ±12.3375

174.84 , 150.163

d. Again reject H0 as 140 < 150.163

e. A type II error has not been committed as H0 is rejected.

1) Equivalent fractions are proportional ones. They increase or decrease at a constant rate. Checking those fractions we can note that:

So, 9/12 is equivalent to 3/4 for 9/12 is a simplified version of 3/4.

Answer:

(0, 2)

Step-by-step explanation:

Answer:

i think it is a but i am not shore. Hope this helps

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

There are 8 flowers.

Step-by-step explanation:

You have the 3 you filled in correct. Since there are 12 flowers, and we know that there are only two colors, once we know one color we can figure the other one out. We are told that there are 4 pink flowers. Since we know there are 4 pink flowers, we can do subtraction to find how many red flowers there are. 12-8=4. You begin with 12, then count back 4. 11, 10, 9, and then 8. This is how you find the answer. I hope this helps!