the dot plot shows the numbers of apples picked by members of two different tour groups at an orchard. which statement correctly compares these two data sets

Answer:14.4222

Step-by-step explanation:

Based on the image attached, the solution for GE  is approximately 22.72.

To  be able to solve the equation √129 + √129 = GE, one need to simplify the  expression and then isolate GE.

Step 1: One can add the square roots:

Note that the equation:

√129 + √129 = GE.

Step 2:  Do put together the square root terms:

2√129 = GE.

Step 3:  Then Divide by 2:

√129 = GE/2.

Step 4: The Square both sides:

129 = (GE²)/4.

Step 5: So, Multiply by 4:

516 = GE².

Lastly, Take the square root:

√516 = √(GE²)

√516 = GE

GE = 22.72. approx.

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See text below



Step 26

Solve the equation for GE:

√129+√129 = GE

GE=2/129

Show steps

Answer:

the first one is (23)

number 7 is ( 34.069)

Step-by-step explanation:

We can simplify cosec(t)tant(t) to sec(t). A trigonometric function is a mathematical function that relates the angles of a triangle to the ratios of its sides.

The most common trigonometric functions are sine (sin), cosine (cos), tangent (tan), cotangent (cot), secant (sec), and cosecant (csc).

To simplify the expression cosec(t)tant(t), we need to use the trigonometric identity:

cosec(t) = 1/sin(t)

tant(t) = sin(t)/cos(t)

Substituting these expressions into the original expression, we get:

cosec(t)tant(t) = (1/sin(t))(sin(t)/cos(t))

The sin(t) term in the numerator and denominator cancel out, leaving:

cosec(t)tant(t) = 1/cos(t)

Recalling the definition of secant, sec(t) = 1/cos(t), we can express the simplified expression as:

cosec(t)tant(t) = 1/sec(t)

Therefore, we can simplify cosec(t)tant(t) to sec(t).

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Answer:

im going so asume you mean a 6 sided dice since thats the most common

(i) 16 2/3%

(ii) 0%

(iii) 16 2/3

(iv) (2,3,5) 50% (1,2,3,5) 66 2/3%

(v) 50%

(vi) 50%

(vii) 33 1/3

Hope This Helps!!!

3 1/2 cups can be expressed as the multiplication expression: 3 + 1/2.

To express 3 1/2 cups as a multiplication expression using the unit "1 cup" as a factor, you can write it as:

3 1/2 cups = (3 + 1/2) cups = 3 cups + 1/2 cup

Since there are 1 cup in each term, we can rewrite it as:

3 cups + (1/2) cup

Now, we can express each term as a multiplication expression:

3 cups = 3 * 1 cup = 3

(1/2) cup = (1/2) * 1 cup = 1/2

Putting it all together, the multiplication expression is:

3 * 1 cup + (1/2) * 1 cup = 3 + 1/2

Therefore, 3 1/2 cups can be expressed as the multiplication expression: 3 + 1/2.

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Answer:

Combine like terms: 18x + 15x = 33x

(45 + 33x + 6x2)

Step-by-step explanation:

Answer:

Combine like terms: 18x + 15x = 33x

(45 + 33x + 6x2)

Step-by-step explanation:

The amount of money she will have to pay for booking of the holidays would be = £220

The total amount of money that will cost Merrisa for booking of holidays = £660

The fraction of the total cost that she needs to deposit = 1/3

Therefore, the actual amount that she needs to deposit = 1/3 of £660

= 1/3× 660

= £220

Therefore, in conclusion, Merrisa would have to pay a total of £220 for booking of the holidays. This total amount is ⅓ of total cost of booking.

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The length of the other leg for triangle BCD will be 13.86cm.

From the triangle BCD is a right triangle. The length of the hypotenuse is 19 centimeters and the length of one of the legs is 13 centimeters.

The Pythagoras theorem states that the sum of two squares equals the squared of the longest side. The Pythagoras theorem formula is given as

H² = P² + B²

Let the unknown sides be x. Then we have,

19² = 13² + x²

361 = 169 + x²

x² = 361 – 169

x² = 192

 x = 13.856 ≈ 13.86 cm

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The triangle BCD is a right triangle. The length of the hypotenuse is 19 centimeters. The length of one of the legs is 13 centimeters.

What is the length of the other leg?

The Integral \(\int \sec ^2\left(t\right)i+t\left(t^2+1\right)^4j+t^6\ln \left(t\right)kdt = i\tan \left(t\right)+\frac{j\left(t^2+1\right)^5}{10}+k\left(\frac{1}{7}t^7\ln \left(t\right)-\frac{t^7}{49}\right)\)

Given integral;

\(\int \sec ^2\left(t\right)i+t\left(t^2+1\right)^4j+t^6\ln \left(t\right)kdt\)

By solving the above integral, we have;

⇒ \(\int \sec ^2\left(t\right)i+t\left(t^2+1\right)^4j+t^6\ln \left(t\right)kdt\)

By applying the sum rule,

⇒ \(\int f\left(x\right)\pm g\left(x\right)dx=\int f\left(x\right)dx\pm \int g\left(x\right)dx\)

\(=\int \sec ^2\left(t\right)idt+\int \:t\left(t^2+1\right)^4jdt+\int \:t^6\ln \left(t\right)kdt\)

\(\int \sec ^2\left(t\right)idt=i\tan \left(t\right)\)

\(\int \:t\left(t^2+1\right)^4jdt = \frac{j\left(t^2+1\right)^5}{10}\)

\(\int \:t^6\ln \left(t\right)kdt = k\left(\frac{1}{7}t^7\ln \left(t\right)-\frac{t^7}{49}\right)\)

⇒ \(i\tan \left(t\right)+\frac{j\left(t^2+1\right)^5}{10}+k\left(\frac{1}{7}t^7\ln \left(t\right)-\frac{t^7}{49}\right)\)

Therefore, the integral \(\int \sec ^2\left(t\right)i+t\left(t^2+1\right)^4j+t^6\ln \left(t\right)kdt = i\tan \left(t\right)+\frac{j\left(t^2+1\right)^5}{10}+k\left(\frac{1}{7}t^7\ln \left(t\right)-\frac{t^7}{49}\right)\)

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The side lengths from least to greatest as follows:

IK < KL < IJ < IL < LJ

To order the side lengths IK, KL, IJ, IL, and LJ from least to greatest, we can analyze the given figure.

Since the figure is not drawn to scale, we cannot determine the exact lengths of the sides. However, we can make some observations based on the given angles.

Let's analyze the angles:

Angle L: Since angle L is marked as 47°, we know that side KL is the shortest side, as it is opposite to the smallest angle in a triangle.

Angle I: Since angle I is marked as 20°, we can infer that side IJ is longer than side IK, as it is opposite to a larger angle.

Angle LJ: Since angle LJ is marked as 89°, we can conclude that side LJ is the longest side, as it is opposite to the largest angle in the triangle.

Based on these observations, we can order the side lengths from least to greatest as follows:

IK < KL < IJ < IL < LJ

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The numbers are 1 and 8.

We have,

Let's assume the lesser number as "x" and the greater number as "8x".

According to the given information, when the lesser number is subtracted from the greater, the result is 2 more than 5 times the lesser number:

8x - x = 5x + 2

Simplifying the expression:

7x = 5x + 2

Subtracting 5x from both sides:

2x = 2

Dividing both sides by 2:

x = 1

So, the lesser number is 1 and the greater number is 8 times that, which is 8.

Therefore,

The numbers are 1 and 8.

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Answer:

5 rooms covered by 10/3 rolls of wire

Step-by-step explanation:

question is solved by dividing rolls used for total rooms(10/3) with rolls used for each room(2/3).

Answer:

C.) no solution

Step-by-step explanation:

Does not equal

-48/=/ 48

Answer:

56,250

Step-by-step explanation:

First e turn the persentage into a decimal so we can multiply the 45,000 by it

45,000 x 0.25 = 11,250

Now we ad the total from last month to the amount we got in the last step to figure out how much the company earned this month

11,250 + 45,000 = 56,250

The company earned 56,250 this month :)

Hope this helped!

Have a good day!

Please rate and mark brainliest!!

Answer:

g(-1) is lesser than 0 while h(-1) is -3(-1) + 8 = 11 so g(-1) is lesser than h(-1)

g(1) is 5 while h(1) is -3(1) + 8 = 5 so g(1) is equal to h(1)

Step-by-step explanation:

The function g(x) is greater than zero when the value of x lies in between -3 and 5 and this can be determined by using the given graph.

Given :

The graph of the function g(x) is given.

The following steps can be used in order to determine the interval for g(x):

Step 1 - The value of g(x) means the value of y.

Step 2 - The value of g(x) is positive when the graph of g(x) is in the first or in the second quadrant.

Step 3 - So, according to the graph function g(x) is positive when the value of x is in between -3 and 5.

Therefore, the correct option is 3).

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Answer:

5

Step-by-step explanation:

a^2 + b^2 = c^2

4^2 + 3^2 = c^2

16 + 9 = c^2

25 = c^2

c = 5

Answer:

Step-by-step explanation:

\(Hypotenuse = ?\\Opposite = 4\\Adjacent = 3\\\\Pythagoras \: Theorem ;\\\\Hypotenuse^2 =Opposite^2+Adjacent ^2\\\\Hypotenuse^2 = 4^2 +3^2\\\\Hypotenuse^2 = 16+9\\\\Hypotenuse^2 = 25\\\\\sqrt{Hypotenuse^2}=\sqrt{25} \\Hypotenuse = 5\)

The appropriate hypothesis test results that it reject the null hypothesis and accept the alternative hypothesis. The z score of -7.26 is in the rejection area

How to calculate hypothesis test?

The general form to calculate the hypothesis is by using the sample data and assuming the null hypothesis is true, calculate the value of the test statistic.

Here the hypothesis test for the population mean μ, we use the t-statistic t = x  − (μ*s) / n

where the t-distribution with n - 1 degrees of freedom.

Here we have given that suppose that a particular NFL team claims that the mean weight of their defensive players is 315 pounds.

And we need to find  appropriate hypothesis test and make conclusions at significance level 0.08 and here we have to assume weights are normally distributed.

While we looking into the given question, we have identified that weights are normally distributed.

Then the value of the given data are written as

data = 315 ,

n= 15 ,

Mean = 300,

standard deviation = 8,

Significance level= 0.08

Then the hypothesis is written as,

The critical value (cutoff point) is 1.761.

Where in left-tail hypothesis testing, any z score less than the critical value will be rejected. Since -7.26 is less than 1.761, we reject the null hypothesis. We accept the alternative hypothesis

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As given by the question

There are given that 4<6, so 204<216.

Now,

On the number line, 4 is less tha6 and 204 is also less than 216

Hence, the given reasoning is correct.

Answer:

12. C. 40 more students chose baseball than basketball

20. 500 total flowers

Step-by-step explanation:

12. To find the number of students that chose baseball, we multiply 25% by 800 students surveyed. First we have to convert 25% to a decimal = 0.25

800 x 0.25 = 200 students chose baseball.

Then, for basketball, 20% of students chose that, so 20% = 0.20

800 x 0.2 = 160 students chose basketball

200-160 = 40 more students chose baseball than basketball

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

20. I don't know what your "magic sentence" looks like. You can set this up as a ratio, where x is the total number of flowers, and the 56% is a fraction of 56/100

280/x = 56/100

then cross multiply

28,000 = 56x

divide by 56

x = 500

Check the math: 500 x 0.56 = 280

If you want to tell me what your teacher's "magic sentence" looks like in the comments, I can try to fill it in with/for you.

Answer:

0.2162   (21.62%)

Step-by-step explanation:

Notice the total time of students is 407. (this is 83+79+88+72+85)

So the probability of having a 3 is:

\(P(3)= \frac{88}{407} =0.2162\)

This is 21.62%

Answer:

After applying the distributive property, Ezra's expression was 8y + 16

After he used the commutative property, his expression was 16 + 8y

Step-by-step explanation:

Distributive property rule: a(x+y) = ax + ay
   Not much to explain here

Commutative property rule: a + b = b + a   or  xy = yx
   We use addition rule in this case, simply place 16 in front of 8y

The Area of the shaded portion is: 72 square inches

The formula for the area of a triangle is given by the formula:

Area = ¹/₂ * base * height

Now, to get the area of the shaded portion, we will get the area of the larger triangle and subtract the area of the smaller one from it.

Thus:

Area of larger triangle = ¹/₂ *  17 * 13 = 110.5 square inches

Area of smaller triangle =  ¹/₂ * 11 * 7 = 38.5 square inches

Thus:

Area of shaded portion = 110.5 square inches - 38.5 square inches

Area of shaded portion = 72 square inches

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Answer:

(89.2 - 92.4) ± 1.666*√(3.1²/38 + 3.8²/37)

Step-by-step explanation:

Very clear deck :

n1 = 38

x1 = 89.2

s1 = 3.1

Sure seal

n2 = 37

x2 = 92.4

s2 = 3.8

Confidence interval for difference in sample means :

(X1 - X2) ± margin of error

(X1 - X2) ± Tcritical * sqrt(s1²/n1 + s2²/n2))

Using the degree of freedom calculator ; df = 70

Margin of Error : Tcritical * sqrt(s1²/n1 + s2²/n2))

Tcritical at 90% confidence interval, df = 70 = 1.688

Margin of Error = 1.666 * sqrt(3.1²/38 + 3.8²/37)

Confidence interval :

(89.2 - 92.4) ± 1.666*√(3.1²/38 + 3.8²/37)

Answer:

90 degree EFC. and. BMC

across fc/ma

across ec/ab

Answer:

x=25

Step-by-step explanation:

To get this answer you need to simplify everything that you can. So basically, first you would combine 2x and x to get 3x+18. Note that you don't need to use the second part of the equation if you don't want to. Same with the third because they are all equal. Noting this, you subtract 18 from both sides of the equation leaving you with 75= 3x. Proceed to divide both sides by three and end with the answer 25=x.