Simplifying expressions -5y-7+6+13y

Answer:

x≥-5

x≥4

r≥21

-15 greater than or equal to x

Step-by-step explanation:

Answer:

66.3

Step-by-step explanation:

You would need to generate a deposit slip or utilize an electronic banking system to send the funds into your account to deposit $15.

A deposit slip is a little paper form that is included by a bank customer when depositing payments into a bank account.

To write a deposit of $15, you would need to create a deposit slip or use an electronic banking system to transfer the money into your account.

To write a deposit slip, you would need to follow these steps:

Obtain a deposit slip from your bank or financial institution, or use a deposit slip provided by your bank's mobile app.

Fill in your personal and account information, including your name, account number, and any other required information.

Indicate the amount of the deposit, in this case $15, in the designated area on the deposit slip.

If you are depositing checks or other negotiable instruments, list the details of each item in the designated area on the deposit slip, including the payee, check number, and amount.

Review the deposit slip for accuracy and completeness, and make any necessary corrections.

Submit the deposit slip and any accompanying cash or checks to a bank teller or use an ATM or mobile app to complete the deposit.

Learn more about the deposit slip here:

https://brainly.com/question/30081338

#SPJ2

Step-by-step explanation:

[tex]x - 9 - 3 = y \\ y = x - 12[/tex]

The given equation solved for y as x-12.

The given equation is x-9=3+y.

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

The given equation can be solved as follows:

x-9=3+y

⇒y=x-9-3

⇒y=x-12

Therefore, the given equation solved for y as x-12.

To learn more about an equation visit:

https://brainly.com/question/14686792.

#SPJ2

Answer:

The test statistic  | t |  =4.45

Step-by-step explanation:

Step(i):-

Given that the first sample size n₁ = 36

Given that the second sample size n₂ = 34

Mean of the first sample x₁⁻ = 68.5

Mean of the second sample x₂⁻ = 70

Step(ii):-

Test statistic

       [tex]t = \frac{x^{-} _{1}-x^{-} _{2} }{\sqrt{S^{2} (\frac{1}{n_{1} }+\frac{1}{n_{2} } } )}[/tex]

     [tex]t = \frac{68.5-70}{\sqrt{2(\frac{1}{36}+\frac{1}{34} ) } }[/tex]

    [tex]t = \frac{-1.5}{0.337} = -4.45[/tex]

The test statistic  | t | = |-4.45| =4.45

The test statistic is given by t and t is calculated with the help of the test statistic formula. The value of t is 4.45.

The test statistic summarises the observation data into a unique number using central tendency, the variation, sample, and size in your statistical model.

The given information will be shown below.

The first sample size n₁ = 36

The second sample size n₂ = 34

The mean of the first sample x₁ = 68.5

The mean of second sample x₂ = 70

Then the test statistic will be given as

[tex]\rm t = \dfrac{x_1 - x_2}{\sqrt{S^2 (\dfrac{1}{n_1}+\dfrac{1}{n_1})}} \\\\\\\t = \dfrac{68.5 - 70}{\sqrt{2 (\dfrac{1}{36} + \dfrac{1}{34})}} \\\\\\t = \dfrac{-1.5}{0.337}\\\\\\t = -4.45[/tex]

The test statistic | t | = |–4.45| = 4.45

More about the test statistic link is given below.

https://brainly.com/question/15236063

Answer:

[tex]3\frac{2}{3} + 2\frac{2}{3} = 6\frac{1}{3}[/tex]

Step-by-step explanation:

Given

See attachment for number line

Required

Determine the model

From the attachment, we can see that each partition is 1/3

The gray rectangle covers 11 partitions.

So:

[tex]Gray = 11 * \frac{1}{3}[/tex]

[tex]Gray = \frac{11}{3}[/tex]

Express as a mixed number

[tex]Gray = 3\frac{2}{3}[/tex]

The black rectangle covers 8 partitions

So:

[tex]Black= 8 * \frac{1}{3}[/tex]

[tex]Black= \frac{8}{3}[/tex]

Express as a mixed number

[tex]Black= 2\frac{2}{3}[/tex]

So, the model is:

[tex]Gray + Black = Total[/tex]

Where Total is the point where the black rectangle stops

[tex]3\frac{2}{3} + 2\frac{2}{3} = 6\frac{1}{3}[/tex]

Answer:

Speed of swimmer = 2.34 m/s (Approx.,)

Step-by-step explanation:

Given:

Distance covered in world record swimming = 50 meters

Time taken by free style swimmer = 21.34 seconds

Find:

Speed of swimmer

Computation:

Speed = Distance / Time taken

So,

Speed of swimmer = Distance covered in world record swimming / Time taken by free style swimmer

Speed of swimmer =  50 / 21.34

Speed of swimmer = 2.34 m/s (Approx.,)

The first part where he mentions "The distribution is skewed right" is correct. The tail on the right hand side is pulled longer than it should be, or longer compared to the left tail. "Right skew" or "skewed right" is the same as "positively skewed". They all mean the same thing.

The portion where Maurice says "This implies that the mean is less than the median" is incorrect. This is where his error is located. The reason for the error is because it should be "The mean is greater than the median" when we have right-skewed data like this.

Here's one example to see why this is the case. Consider the distribution {1,2,3,4,5}. We can see that the median is 3 since it's directly in the center. The mean is also 3 since we add up all the values and divide by 5. Symmetric data has mean = median. Now, we'll replace the '5' with something much larger to get a large outlier. Let's say we have the set {1,2,3,4,55}. The median is still 3. The outlier doesn't pull on the median. However, the mean has changed and it is (1+2+3+4+55)/5 = 65/5 = 13. The mean went from 3 to 13. Therefore, mean > median here. The mean is affected by outliers. Think of it like the outlier is pulling on the mean in a sort of magnetic way. This outlier makes the mean larger than it should be. If the outlier is extreme enough, then it sometimes makes sense to consider the trimmed mean as opposed to the regular arithmetic mean. The trimmed mean is the mean of the main cluster of values ignoring the outlier(s).

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

To recap:

If we have right skewed data, then mean > median

As you can probably guess, if we had left-skewed data, then mean < median. In symmetric data, mean = median.

Answer and Step-by-step explanation:

Divide both sides by 2 to get y.

2y > 4

y > 2

y > 2 is the answer.

#teamtrees #PAW (Plant And Water)

Answer:

If Jack adopted half of the spaniel puppies, and there are 4 spaniel puppies, that means that he adopted 2 puppies.

If Carmen adopted half of the beagle puppies, and there are 6 beagle puppies, then Carmen adopted 3 puppies. This means that Carmen adopted more puppies than Jack.

Step-by-step explanation:

1/2 of 4 = 2

1/2 of 6 = 3

Carmen adopted more puppies that is 3 and Jack adopted 2 puppies.

In Mathematics, fractions are represented as a numerical value, which defines a part of a whole. A fraction can be a portion or section of any quantity out of a whole, where the whole can be any number, a specific value, or a thing.

Given that, a shelter had 4 spaniel puppies and 6 beagle puppies.

Jack adopted 1/2 of the spaniel puppies.

That is, 1/2 ×4 =2

Carmen adopted 1/2 of the beagle puppies.

That is, 1/2 ×6 =3

Therefore, Carmen adopted more puppies that is 3 and Jack adopted 2 puppies.

To learn more about the fraction visit:

brainly.com/question/1301963.

#SPJ2

Answer:

D

Step-by-step explanation:

the first one is 3.15 and the second one is 630

Answer:

1/10 or 3kids

Step-by-step explanation:

First you want to take 3/5 into 10nths so you do 3/5 times two and you get 6/10 then you add up 6/10 and 3/10 and you get 9/10. 30÷ 9/10 is 27 so 3 kids are having other things

Answer:

The value of x would equal 9

Step-by-step explanation:

129 - 12 = 117

117/13 = 9

Step-by-step explanation:

step 1. a diagram is important and can be uploaded. you will get a quicker answer with a diagram

step 2. triangle RST is a right triangle so we can use trigonometry to find <S

step 3. the adjacent side of <S is ST and the hypotenuse is RS so we will use cos

step 4. cosS = adj/hyp = ST/RS = 2.7/4.9

step 5. <S = 56.6° using inverse cos.

Answer:

42.43

Step-by-step explanation:

This is because you had to divbide by 3

Answer:

2/5

Step-by-step explanation:

1/5 · 2/1 = 2/5

Good luck, I hope this helps :)

Answer:

59

Step-by-step explanation:

3*20-1=59

Answer:

a-b/c

or

0.6-0.2/.5

0.6-0.4

0.2

I got

[tex]0.75 + 2\pi \times n[/tex]

[tex]5.28 + 2\pi \times n[/tex]

[tex]1 + 2\pi \times n[/tex]

5.53+2pi times n

WORK:

[tex](3 \sin(2x) + 3 \cos(2x) )) {}^{2} = 9[/tex]

[tex] \sin(2x) + \cos(2x) {}^{2} = 3[/tex]

[tex] \sin(x) + \cos(4 {x}^{2} ) = 3[/tex]

[tex]4 {x}^{2} + x = 3[/tex]

[tex]4 {x}^{2} + x - 3 = 0[/tex]

[tex](4x {}^{2} + 4x - 3x - 3 = 0[/tex]

[tex]4x(x + 1) - 3(x + 1) = 0[/tex]

[tex](4x - 3)(x + 1)[/tex]

Solve for x

[tex]4x - 3 = 0[/tex]

[tex]4x = 3[/tex]

[tex]x = \frac{3}{4} [/tex]

[tex]x + 1 = 0[/tex]

[tex]x = - 1[/tex]

While -1 is a solution, it isn't within the interval of 0,2pi.

However, we can use the reference angle identity

[tex] \cos(x) = \cos(x + 2\pi) [/tex]

So some more possible points are

[tex] - 1 + 2\pi[/tex]

Since it on a interval, it must be less than 2 pi or 6.28.

Let find some more points

[tex] - 1 + 2\pi = 5.28[/tex]

So 5.28 is a point,

[tex] \frac{3}{4} + 2\pi = 7.03[/tex]

That is too big since -6.28 is smaller than 7.03

We can use the identity

[tex] \cos(x) = \cos( - x) [/tex]

[tex] \cos( - 1) = \cos( 1 ) [/tex]

1 is smaller than 2pi so it is true.

[tex] \cos( \frac{3}{4} ) = \cos( - \frac{3}{4} ) [/tex]

Negative 3/4 is smaller than zero so it not a solution.

[tex]0.75[/tex]

[tex]5.28[/tex]

[tex] 1[/tex]

Make sure to include

[tex]2\pi \times n[/tex]

so

[tex]0.75 + 2\pi \times n[/tex]

[tex]5.28 + 2\pi \times n[/tex]

[tex]1 + 2\pi \times n[/tex]

We can also -3/4 plus 2 pi.

Which is about 6

5.53.

Answer:

50 minutes

Step-by-step explanation:

2gal×4 qt in a gallon= 8 qt

8qt× 2pt in a qt= 16pt

16pt÷6 pt= 2.66

2.66×30= 80 min

80min-30min= 50 minutes

Answer:

If not treated, the probability of at least 75 percent of 1400 students being infected is approximately equal to 1.

Step-by-step explanation:

Let Y be the no. of infections

The number of students who have been exposed to whooping cough is as follows:

n = 1400

n = 1400  and p = 0.8

nm = 1400 x 0.8

nm = 1120

n(1-m) = 1400 x (1-0.8)

n(1-m) = 280

Here,

Both nm and n(1-m) are greater than or equal to 10. So, we use normal distribution.

The mean and standard deviation of number of new infections is:

u = np

u =1400 x 0.8

u = 1120 = mean

SD = Standard Deviation  

SD = [tex]\sqrt{1120(1-0.8)}[/tex]

SD = 14.966

The number of infections is distributed in an approximately normal way

N(1120,14.966)

75% of 1400 means 0.75  x 1400 = 1050

So,

Probability required.

P (Y[tex]\geq[/tex] 1050) = P (Y [tex]\geq[/tex] 1050 - 0.5)    (Continuity Correction)

P (Y[tex]\geq[/tex] 1050) = P([tex]\frac{Y - u}{SD} \geq \frac{1049.5 - 1120}{14.966}[/tex])

P (Y[tex]\geq[/tex] 1050) =  P(Z [tex]\geq[/tex] -4.71)

P (Y[tex]\geq[/tex] 1050) = P(Z [tex]\leq[/tex] 4.71)

Using the z table:

P (Y[tex]\geq[/tex] 1050) ≈ 1

Hence,

If not treated, the probability of at least 75 percent of 1400 students being infected is approximately equal to 1.

Answer:

1 speaker is $91.48

3 speakers = $91.48 × 3

= $274.44

1 tire is 9$2.55

5 tires = $92.55 × 5

= $462.75

8, 100 bills = $800

The cost for the 3 speakers and 5 tires = $274.44 + $462.75

= $737.19

Therefore, the change that Jason got was = $800 - $737.19

= $62.81

Answer:

10

Step-by-step explanation: