(a) The 10 members of the swim team completed the following numbers of laps at today's practice:

77, 79, 80, 82, 84, 85, 86, 87, 90, 91.

Which measure should be used to summarize the data?

Mean?
Median?
Mode?​

Answer:

by reflection, if you mean swapped, then the answers are A'(1,-6) and B'(4,2)

i hope these are the answers you are looking for

Step-by-step explanation:

Answer:

area of the parallelogram=6

area of the rectangle=20

total area=26 square units

Answer:

sum of all angle= 180 given angle = 3 X, 10 X AND 7 X

3X + 10X + 7X = 180

20X = 180

X= 180/20

X = 9

X= 9 IS apply to given angle 3X, 10 X  , 7X

3X = 3 ×9=27

10X = 10 ×9 = 90

7X = 7 ×9 =63

ANS IS 27,90,63

Step-by-step explanation:

Answer:

It will take 4 minutes for the balloon to reach an altitude of 57 yards.

Step-by-step explanation:

Initial altitude:

100 1/5 yards = 100 + 0.2 = 100.2 yards.

Decrease per minute:

10 4/5 yards = 10 + 0.8 = 10.8 yards.

So, after t minutes, the height of the ballon is given by:

[tex]h(t) = 100.2 - 10.8t[/tex]

Number of minutes it will take the balloon to reach an altitude of 57 yards.

This is t for which [tex]h(t) = 57[/tex]. So

[tex]h(t) = 100.2 - 10.8t[/tex]

[tex]57 = 100.2 - 10.8t[/tex]

[tex]10.8t = 43.2[/tex]

[tex]t = \frac{43.2}{10.8}[/tex]

[tex]t = 4[/tex]

It will take 4 minutes for the balloon to reach an altitude of 57 yards.

Answer:

25 degrees

Step-by-step explanation:

The total angle sum of a triangle is 180 degrees

since the two sides are equal...

(x) + (x) + (4x + 30) = 6x + 30 = 180

==> x = 25 degrees

Given:

Amount = Rs. 34476

Rate of compound interest = 4%

Time = [tex]2\dfrac{1}{2}=2.5[/tex] years

To find:

The principal value.

Solution:

Formula for amount is

[tex]A=P\left(1+\dfrac{r}{100}\right)^t[/tex]

Where, P is principal value, r is rate of interest and t is time in years.

Putting the given values, we  get

[tex]34476=P\left(1+\dfrac{4}{100}\right)^{2.5}[/tex]

[tex]34476=P\left(1+0.04\right)^{2.5}[/tex]

[tex]34476=P\left(1.04\right)^{2.5}[/tex]

[tex]\dfrac{34476}{\left(1.04\right)^{2.5}}=P[/tex]

Now,

[tex]P=31256.0090[/tex]

[tex]P\approx 31256[/tex]

Therefore, the value of sum or principal value is Rs.31256.

Answer:

a.) X  ≈ N (0, 12)

b.) Y ≈  exp(2)

c.) The given distribution is not defined.

d.) Not a standard form of any distribution .

Step-by-step explanation:

Given - In parts (a)−(d) below, either use the information given to determine

            the distribution of the random variable, or show that the information

            given is not sufficient by describing at least two different random

            variables that satisfy the given condition.

To find - (a) X is a random variable such that Mₓ(t) = [tex]e^{6t^{2} }[/tex] when |t| < 2.

              (b) Y is a random variable such that  [tex]M_{Y}[/tex](t) = [tex]\frac{2}{2 - t}[/tex] for t < 0.5.

              (c) Z is a random variable such that [tex]M_{Z}[/tex](t) = ∞ for t ≥ 5.

              (d) W is a random variable such that [tex]M_{W}[/tex](2) = 2

Proof -

a.)

As we know that the moment generating function of normal distribution is given by

Mₓ(t) = [tex]e^{ut + \frac{1}{2}t^{2} \sigma^{2}}[/tex]

Now,

Mₓ(t) = [tex]e^{6t^{2} }[/tex]

       = [tex]e^{0(t) + \frac{12}{2} t^{2} }[/tex]

⇒μ = 0, σ = 12

Nd it is represented by

X  ≈ N (0, 12)

b.)

Moment generating function of exponential function is given by

[tex]M_{Y}[/tex](t) = [tex]( 1 - \frac{t}{\theta})^{-1}[/tex]

Now,

 [tex]M_{Y}[/tex](t) = [tex]\frac{2}{2 - t}[/tex] for t < 0.5.

          = [tex]\frac{1}{\frac{2 - t}{2} }[/tex]

          = [tex]\frac{1}{1 - \frac{t}{2} }[/tex]

          = [tex]( 1 - \frac{t}{2} )^{-1}[/tex]

And it is represented by

Y ≈  exp(2)

c.)

Z is a random variable such that [tex]M_{Z}[/tex](t) = ∞ for t ≥ 5.

The given distribution is undefined.

d.)

[tex]M_{W}[/tex](2) = E([tex]e^{2w}[/tex] )

           = [tex]\int\limits^{-\infty}_{\infty} {e^{2w} f(w) } \, dw[/tex]

          = 2

It is not the standard form of any distribution.

Answer:

your answer is c (56 fluid ounces)

Step-by-step explanation:

Answer: 1 hour 38 minutes

Step-by-step explanation:

From 11:51 AM to 12:00 PM (noon)

9 minutes

from 12:00 PM to 1:00 PM

1 hour

1:00 PM to 1:29 PM

29 minutes

______________________________

9 minutes + 1 hour + 29 minutes

1 hour 38 minutes

Answer:

27 cm

Step-by-step explanation:

Answer:

it would be:

3x-4y=-8

Step-by-step explanation:

Answer:

Do it your self

Step-by-step explanation:

Gross

Answer:

30.5

Step-by-step explanation:

Answer:

Test score of 75.7.

Step-by-step explanation:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

The results are normally distributed with a mean test score of 60 and a standard deviation of 8.

This means that [tex]\mu = 60, \sigma = 8[/tex]

Calculate the test score above which 2.5% of all test scores lie.

Above the 100 - 2.5 = 97.5th percentile, which is the value of X when Z has a pvalue of 0.975, so X when Z = 1.96.

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]1.96 = \frac{X - 60}{8}[/tex]

[tex]X - 60 = 8*1.96[/tex]

[tex]X = 75.7[/tex]

Test score of 75.7.

Answer:

[tex]\huge\boxed{\boxed{\color{silver} \sf- \frac{8}{9}}}[/tex]

Step-by-step explanation:

[tex] {3}^{ - 2} \times { - 2}^{3} [/tex]

[tex] \frac{1}{ {3}^{2} } \times - 2 \times - 2 \times - 2[/tex]

[tex] \frac{ 1}{9} \times - 8[/tex]

[tex] - \frac{8}{9} [/tex]

Step-by-step explanation:

3^-2 × -2^3

1/3²×-2³

1/9×-8

-8/9

Answer:

Mean = 22

Range = 14

Step-by-step explanation:

pls give brainliest

Answer:

a*2+b*2+c*2+d

Step-by-step explanation:

If i's meant to be Pythagorean theorem, a*a+b*b=c*c

Answer:

430.2857...

Step-by-step explanation:

Answer:

[tex]3.012[/tex] ÷ [tex]7[/tex] = 430.285

Answer:

16

every time you go up 10% there will be 2 added

2*8=16

Step-by-step explanation:

If 10% of a number is 2 less than 20% of the same number, then 80% of the number equals 16.

percentage, a relative value indicating hundredth parts of any quantity.

Given,

10% of a number is 2 less than 20% of the same number,

10% .x=20%x-2

Convert % to the decimal by diving with 100.

10/100x=20/100x-2

0.1x=0.2x-2

Subtract 0.1x on both sides

0=0.2x-0.1x-2

Add 2 on both sides

2=0.2x-0.1x

2=0.1x

Divide both sides by 0.1

20=x

Now we need to find 80% of 20.

80% of 20

80/100×20

0.8×20

16

Hence, 10% of a number is 2 less than 20% of the same number, then 80% of the number equals 16.

To learn more on Percentage click:

https://brainly.com/question/28269290

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Step-by-step explanation:

-3.25y < -61.75

-3.25y < -61.75

-3.25. -3.25

whenever an inequality is divided by a negative number the sign changes, so if the sign of the inequality is greater than( > ) it becomes less than( < ) or the other way around. In this case the less than will be greater than.

y > 19 , S.S= [ 20,21,22,23.....]

Answer:

10

Step-by-step explanation:

2x5 is basically 1x5= 5x2=10

The required solution to the system of equations is (x, y) = (-2, 4). Option B is correct.

Simultaneous linear equations are two- or three-variable linear equations that can be solved together to arrive at a common solution.

Here,
To solve this system of equations, we can set the two expressions for y equal to each other, since they both represent the same value of y,

x + 6 = -0.5x + 3

Simplifying and solving for x, we get:

1.5x = -3

x = -2

Now that we have the value of x, we can substitute it into one of the original equations to find the value of y. Using the first equation, we have,

y = x + 6

y = -2 + 6

y = 4

Therefore, the solution to the system of equations is (x, y) = (-2, 4).

Learn more about simultaneous equations here:

https://brainly.com/question/16763389

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Step-by-step explanation:

step 1. what is the question? solve for k? okay.

step 2. 4(k - 6) = 6(-4 - 5k)

step 3. 4k - 24 = -24 - 30k

step 4. 34k = 0

step 5. k = 0.

Answer:

No it is not

Step-by-step explanation:

Answer:

7

Step-by-step explanation:

it's just 4 2/3 divided by 2/3, right?

Answer:

1/2 cup carrot juice for every cup of apple juice

Step-by-step explanation:

Answer:

1/2 cup carrot juice for every cup of apple juice

Step-by-step explanation:

6:3 6 dived by 6 is 1 and 3 dived by 6 is 0.5 also known as 1/2

[tex]\huge\text{Hey there!}[/tex]

[tex]\large\text{\bf{{(10-343)-2\times6}}}\\\bold{Do\ PEMDAS}\\\bold{PEMDAS\ is....}\\\bold{Parentheses}\\\bold{Exponents}\\\bold{Multiplication}\\\bold{Division}\\\bold{Addition}\\\bold{Subtraction}}[/tex][tex]\\\bold{Do\ PEMDAS}\\\\\bold{PEMDAS\ is....\downarrow}\\\\\bold{Parentheses}\\\bold{Exponents}\\\bold{Multiplication}\\\bold{Division}\\\bold{Addition}\\\bold{Subtraction}}[/tex]

[tex]\large\text{\bf{(10 - 343) - 2 * 6}}\\\large\text{\bf{10 - 343 = -333}}\\\large\text{\bf{(-333) - 2 * 6}}\\\large\text{\bf{2 * 6 = 12}}\\\large\text{\bf{(-333) - 12 = -345}}\\\boxed{\boxed{\large\text{\bf{Answer: -345}}}}\huge\checkmark[/tex]

[tex]\textsf{Good luck on your assignment and enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]