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3 years ago

What is 3x + 5 = 10.4

Mathematics

2 answers:

ZanzabumX [31]3 years ago

8 0

Answer:

=1.8

Step-by-step explanation:

i think

ratelena [41]3 years ago

6 0

Answer:

x = 1.8

Step-by-step explanation:

10.4 - 5 = 5.4 (subtract 5 from each side)

to isolate the variable, x, divide each side by 3

5.4/3 = 1.8

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Find the slope.make sure to reduce

butalik [34]

Answer : Hallway - black shirt = girl ......

7 0

2 years ago

Give a 98% confidence interval for one population mean, given asample of 28 data points with sample mean 30.0 and sample standar

klio [65]

We have a sample of 28 data points. The sample mean is 30.0 and the sample standard deviation is 2.40. The confidence level required is 98%. Then, we calculate α by:

$\begin{gathered} 1-\alpha=0.98 \\ \alpha=0.02 \end{gathered}$

The confidence interval for the population mean, given the sample mean μ and the sample standard deviation σ, can be calculated as:

$CI(\mu)=\lbrack x-Z_{1-\frac{\alpha}{2}}\cdot\frac{\sigma}{\sqrt[]{n}},x+Z_{1-\frac{\alpha}{2}}\cdot\frac{\sigma}{\sqrt[]{n}}\rbrack$

Where n is the sample size, and Z is the z-score for 1 - α/2. Using the known values:

$CI(\mu)=\lbrack30.0-Z_{0.99}\cdot\frac{2.40}{\sqrt[]{28}},30.0+Z_{0.99}\cdot\frac{2.40}{\sqrt[]{28}}\rbrack$

Where (from tables):

$Z_{0.99}=2.33$

Finally, the interval at 98% confidence level is:

$CI(\mu)=\lbrack28.94,31.06\rbrack$

4 0

1 year ago

Find the missing terms in each arithmetic sequence <br> 1,__,__,-17<br> 2,__,__,20

Galina-37 [17]

Answer:

-5,-11

8,14

Step-by-step explanation:

Let 's say r the commun difference

1,1+r,1+2r,1+3r=-17

1+3r=-17

3r=-18

r=-6

Sequence is 1,-5,-11,-17

2,2+r,2+2r,2+3r=20

2+3r=20

3r=18

r=6

Sequence is 2,8,14,20

4 0

2 years ago

Ivan's gas tank is 1/5 full. After he buys 7 gallons of gas, it is 7/10 full. How many gallons can Ivan's tank hold?

blondinia [14]

Answer: 14 gallons of gas.

Step-by-step explanation: For the fractions, find a common denominator, which would be 10. To get 1/5 to have a denominator of 10, multiply each number by 2. You would get 2/10. 7 gallons fills his tank from 2/10 to 7/10. Subtract the two fractions.

7/10 - 2/10 = 5/10.

7 gallons filled his tank half way. We are trying to find the amount to fill his tank all the way. So multiply 7 by 2.

7 x 2 = 14

14 gallons of gas will fill his tank all the way.

I hope this helps!

6 0

3 years ago

You invest 1,600 in an account that pays an interest rate of 6.5% compounded continuously calculate the balance after 6 years

tangare [24]

The amount A when the principal P is compounded continuously is given by the formula :

$A=P E^{rt}$

Here r is rate of interest and t is time .

In the question P=1600 ,r=6.5%=0.065 ,t= 6 years

Substituting these values in the formula

$A=(1600) e^{0.065 times 6}$

A= 1600(1.48)

A=2363.17

Balance after 6years is $2363.17

6 0

3 years ago