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docker41 [41]
2 years ago
13

Keiko, Dale, and Tony sent a total of 95 text messages during the weekend. Dale sent 7 fewer messages than Kelko. Tony sent 4 ti

mes as many messages as
Keiko. How many messages did they each send?
Mathematics
1 answer:
mylen [45]2 years ago
4 0

Answer:

Keiko sent 17 messages, Dale sent 10 messages, and Tony sent 68 messages

Step-by-step explanation:

Let x represent the number of messages that Keiko sent.

Since Dale sent 7 less than Keiko, his number can be represented by x - 7

Since Tony sent 4 times as many as Keiko, his number can be represented by 4x

Using these variables, create an equation:

(x) + (x - 7) + (4x) = 95

Add like terms and solve for x:

6x - 7 = 95

6x = 102

x = 17

So, Keiko sent 17 messages.

Subtract 7 from this to find how many Dale sent:

17 - 7

= 10

Multiply it by 4 to find how many Tony sent:

17(4)

= 68

So, Keiko sent 17 messages, Dale sent 10 messages, and Tony sent 68 messages

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A local company is concerned about the number of days missed by its employees due to ill ness. A Random Sample of 10 employees i
sukhopar [10]

Answer:

The incentive program does not cuts down on the number of days missed by employees.

Step-by-step explanation:

The dependent t-test (also known as the paired t-test or paired samples t-test) compares the two means associated groups to conclude if there is a statistically significant difference amid these two means.

A paired <em>t</em>-test would be used to determine whether the incentive program cuts down on the number of days missed by employees.

The hypothesis for the test can be defined as follows:

<em>H₀</em>: The incentive program does not cuts down on the number of days missed by employees, i.e. <em>d</em> ≥ 0.

<em>Hₐ</em>: The incentive program cuts down on the number of days missed by employees, i.e. <em>d</em> < 0.

From the information provided the data computed is as follows:

 n=10\\\bar d=-1.1\\SD_{d}=2.99

Compute the test statistic value as follows:

 t=\frac{\bar d}{SD_{d}/\sqrt{n}}

   =\frac{-1.1}{2.99/\sqrt{10}}\\\\=-1.16

The test statistic value is -1.16.

Decision rule:

If the p-value of the test is less than the significance level then the null hypothesis will be rejected and vice-versa.

Compute the p-value of the test as follows:

p-value=P(t_{n-1}

*Use a t-table.

The p-value of the test is 0.1379.

The p-value of the test is very large for all the commonly used significance level. The null hypothesis will not be rejected.

Thus, there is not enough evidence to support the claim.

Conclusion:

The incentive program does not cuts down on the number of days missed by employees

4 0
3 years ago
Please help with this question?!?
Charra [1.4K]

Answer:

50.3

Step-by-step explanation:

area for circle formula=πr^2

r=4

π4^2 which is 50.3 rounded

4 0
2 years ago
Read 2 more answers
Let a be a real number and n a positive integer . show that x-a is a factor of x^n- a^n
nikklg [1K]

Answer:

steps below

Step-by-step explanation:

x-a=0

x=a   plug in xⁿ - aⁿ

xⁿ - aⁿ = aⁿ - aⁿ = 0

(x-a) must be a factor of xⁿ - aⁿ

6 0
2 years ago
2x1/8 trying get help it’s hard for me I have difficulty doing these problems
dmitriy555 [2]

Answer:

1/4

2 x 1/8 is also 1/8 + 1/8 and that is then 2/8 and after that when you simplify you get 1/4.

7 0
3 years ago
The four angles of a quadrilateral are in the ratio 2:3:5:8. Find the angles
sp2606 [1]

Answer:

Step-by-step explanation: let 2:3:5:8 be 2x,3x,5x,8x respectively .

*angles in a quadrilateral is 360 degree

*2x+3x+5x+8x=360

*18x=360

*x=360/18

*x=20

now substitute x in these:

2x=2x20=40

3x=3x20=60

5x=5x20=100

8x=8x20= 160

so these are the following angles: 40,60,100 and 160

8 0
3 years ago
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