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3 years ago

HELP ASAP SHOW WORK PLZ !!! Multiply first

Mathematics

2 answers:

Ostrovityanka [42]3 years ago

6 0

-2(x + 6y = 1)

2x - 3y = 32
-2x - 12y = -2
- 15y = 30

y = -2

x + 6y = 1
x + 6(-2) = 1
x - 12 = 1

x = 13

vlada-n [284]3 years ago

4 0

solve by elimination

we can see that we can eliminate y from both equations by mulitpying the 2nd equation by 2 and adding them

x+6y=1

4x-6y=64 +

5x+0y=65

5x=65

divide both sides by 5

x=13

subsitute back

x+6y=1

13+6y=1

minus 13 both sides

6y=-12

divide by 6 both sides

y=-2

solution is x=13 and y=-2 or (13,-2) is the solution

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Use technology and the given confidence level and sample data to find the confidence interval for the population mean muμ. assum

nikitadnepr [17]

The given in this problem are:

99% confidence level

N = 61

Mean = 2.0 kg

Standard deviation = 4.8

Z value for a 9% confidence interval is 2.576

Confidence Interval = mean ± Z s/ sqrt n

= 2.0 ± 2.576(4.8/sqrt 61)

=2.0 ± 2.576 (0.6145770236779006736364371988794)

= 2.0 ± 1.5832

= 0.4168 < x < 3.5832

4 0

3 years ago

Jason made 42 christmas cookies he gave half to his teacher he ate 1 third of the cookies that were left then gave 8 cookies to

11111nata11111 [884]

Answer:

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Step-by-step explanation:

8 0

3 years ago

Find the sum of 7489, 4223 and 245

Kay [80]

Answer:

the sum of 7489, 4223 and 245 is :

11,957

Step-by-step explanation:

The word "sum" means to add so I just added it .

4 0

3 years ago

A survey of 27 randomly sampled judges employed by the state of Florida found that they earned an average wage (including benefi

Afina-wow [57]

Answer:

a) sample mean $x^{bar}$ = 63

b) 95% confidence interval for the population mean wage (including benefits) for these employees is ( 60.58, 65.42 )

c) sample size is 26

Step-by-step explanation:

given the data in the question

a) estimate of the population mean

sample mean $x^{bar}$ = ($63.00 per hour) = 63

given that; standard deviation σ = 6.11, sample size n = 27

df = n-1 = 27 - 1 = 26

now at 95% CI, t will be;

∝ = 1 - 95% = 0.05, $t_{∝/2}$ = 0.05/2 = 0.025

$t_{∝/2, df}$ = $t_{0.025, 26}$ = 2.056

Margin of Error E = $t_{∝/2, df}$ × (σ/√n)

Margin of Error E = 2.056 × (6.11/√27)

Margin of Error E = 2.056 × 1.17587

Margin of Error E = 2.4175 ≈ 2.42

CI estimate of the population mean will be; ( 95% )

$x^{bar}$ - E < μ < $x^{bar}$ + E

we substitute

63 - 2.42 < μ < 63 + 2.42

60.58 < μ < 65.42

Therefore, 95% confidence interval for the population mean wage (including benefits) for these employees is ( 60.58, 65.42 )

At 90% confidence level and Margin of Error of 2

sample size n = ?

∝ = 1-90% = 0.10, ∝/2 = 0.10/2 = 0.05

$Z_{∝/2}$ = $Z_{0.05}$ = 1.645

Sample size n = ( $Z_{∝/2}$ × σ/ / E )²

we substitute

Sample size n = (1.645×6.11 / 2)²

n = (10.05095 / 2)²

n = ( 5.025475)²

n = 25.255

number of employed judges cant be decimal,

Therefore, sample size is 26

8 0

3 years ago

A store sells ink jet printers and laser printers. On Monday, it sold a total of 100 printers. The store earns $40 profit for ea

andrew-mc [135]

Answer:

The store sold 20 more ink jet printers than laser printers.

Step-by-step explanation:

Since the store sold 100 printers, you can say that the result of adding up the numbers of each type of printers sold is equal to 100, which is:

x+y=100, where:

x is the number of ink jet printers sold

y is the number of laser printers sold

Also, you know the amount the profit the store gets for each type of printer and the total profit received on Monday which means that adding up the results of multiplying each type of printer for its price is equal to the total profit, which can be expressed as:

40x+55y=4,600

Now, you have two equations:

x+y=100 (1)

40x+55y=4,600 (2)

You have solve this system of equations to find the number of ink jet and laser printers that were sold. First, you have to solve for x in (1):

x=100-y (3)

Then, you have to replace (3) in (2) and solve for y:

40(100-y)+55y=4,600

4000-40y+55y=4,600

15y=600

y=600/15

y=40

Finally, you can replace the value of y in (3) to find the value of x:

x=100-40

x=60

Now that you know that the store sold 60 ink jet printers and 40 laser printers, you can find the difference between this numbers to be able to know how many more ink jet printers were sold:

60-40=20

According to this, the answer is that the store sold 20 more ink jet printers than laser printers.

7 0

3 years ago