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4 years ago

Solve for x : 2x−3 = 5

Mathematics

2 answers:

neonofarm [45]4 years ago

3 0

Answer:

x=4

Step-by-step explanation:

2x-3=5

Add 3 to both sides

2x=8

divide both sides by 2

x=4

777dan777 [17]4 years ago

3 0

$2x - 3 = 5$

$2x = 5 + 3$

$2x = 8$

$x = 8 \2( transposing known value to one side to get the value of x)$

$x = 4(bringing it to lowest term)$

You might be interested in

The diameter of a single human hair is .000025 meters. rewrite this number in scientific notation.

enyata [817]

Answer:

2.5 * 10^-5

Step-by-step explanation:

2.5 * 10^-5

If the number is between 1 and -1 excluding 0. Then

count the number of zeros

add 1 more

write the notation of where you put the decimal place

The power is minus and equal to the number of zeros + 1

0.000025

zeros: the number of zeros = 4

Add 1: 4 + 1 = 5

Decimal goes between the 2 and the 5

2.5

Power: = - 5

Answer: 2.5 * 10^-5

4 0

3 years ago

PLEASE ANSWER QUICKLY I WILL GIVE BRAINLYEST

Agata [3.3K]

Answer:

a) 17

b) 45

Step-by-step explanation:

a) $9+3 x 2^{2} - 1 x 4$

use pemdas first,

$2^{2}\\$ = 4

3x4 = 12

1x4 = 4

now the equation is $9+12 - 4$

9+12 = 21

that makes the equation 21-4

21-4 = 17

a) 17

now for b

the equation would then be $9+3 x (2^{2} - 1) x 4$

so youd use pemdas as always

start in the parenthases

$2^{2}$ = 4

4-1 = 3

the equation is now $9+3 x 3 x 4$

now, multiply 3x3x4

3x3 = 9

9x4 = 36

now the equation is 9+36

9+36 is 45

b) 45

hope this helped!

4 0

2 years ago

A marketing consultant observed 50 consecutive shoppers at a supermarket. One variable of interest was how much each shopper spe

Diano4ka-milaya [45]

Answer:

a. $\\ \mu = USD\;51.34$ ; b. The 95% interval is USD [45.82, 56.86].

Step-by-step explanation:

The mean amount a customer spends at the grocery store

The mean is the sum of all of the data divided by the number of observations for this case, that is, n = 50.

The sum of all of the data is: 5.24+11.97+13.59+15.52+15.69+19.96+20.54+22.59+27.25+27.29+28.25+30.00+31.63+33.01+37.21+40.36+40.90+42.83+45.66+46.67+47.49+49.32+50.12+51.71+52.2 1+53.57+56.16+56.36+56.88+58.65+59.42+60.20+60.48+62.23+62.50+67.95+70.45+73.08+74.15+74.48+74.78+75.75+76.27+76.47+78.92+84.09+84.91+85.06+88.45+88.91 = 2567.17.

The mean $\\ \mu$ is

$\\ \mu = \frac{2567.17}{50}$

$\\ \mu = \frac{2567.17}{50} = 51.34$

Then, the mean amount a customer spends at the grocery store is USD 51.34.

The 95% confidence interval for the mean amount spent

For the 95% confidence interval for the mean, we have the value for the mean = 51.34, as we have just found, the value for the standard deviation is already given as USD 20.00. There are 50 observations, so n = 50.

Moreover, for a 95% confidence, the value for the corresponding z-score is z = 1.96 (this is the confidence coefficient). Then, the formula for finding the "limits" values for the confidence interval is as follows:

For the upper limit

$\\ \overline{X} + 1.96*\frac{\sigma}{\sqrt{n}}$

$\\ 51.34 + 1.96*\frac{20}{\sqrt{50}}$

$\\ 51.34 + 5.52$

$\\ 56.86$

For the lower limit

$\\ \overline{X} - 1.96*\frac{\sigma}{\sqrt{n}}$

$\\ 51.34 - 1.96*\frac{20}{\sqrt{50}}$

$\\ 51.34 - 5.52$

$\\ 45.82$

Thus

The 95% confidence is USD [45.82, 56.86].

Mathematically

$\\ P(45.82 \leq \mu \leq 56.86) = 0.95$

There is a probability of 0.95 that the values are between [45.82, 56.86], both inclusive.

We have to remember here that we are dealing with a sample. This sample has a standard deviation, called standard error of the sample, and is $\\ \frac{20}{\sqrt{50}} \approx 2.83$ .

So, the population mean is, with a 95% confidence, between the values [45.82, 56.86], both inclusive.

We can see the graph below that represents the former.

3 0

3 years ago

Study island Jack Russell high school 96 students plan on going to end in State College and 58 students plan on going to an out

Daniel [21]

Answer:

48:29

Step-by-step explanation:

So lets find the ratio without simplest form: the ratio is 96:58

When writing the ratio we write the one mention first

Now lets write it in simplest form practically reducing it to its lowest term

$\frac{96}{58}$ ( we first write it as a fraction)

$\frac{96}{58}$ ÷ $\frac{2}{2}$ =48:29

So the answer is 48:29

HOPE IT HELPED

3 0

3 years ago

I am having a hard time figuring this out can some one please help!1

aniked [119]

Answer:

$y=500\cdot 0.658^{\frac{x}{2}}$

Step-by-step explanation:

Express the weight as the exponential function of months

$y=a\cdot b^{\frac{x}{2}}$

When $x=0,$ then

$500=a\cdot b^{\frac{0}{2}}\\ \\500=a\cdot b^0\\ \\500=a$

Hence,

$y=500\cdot b^{\frac{x}{2}}$

When $x=2,$ then

$329=500\cdot b^{\frac{2}{2}}\\ \\329=500b^1\\ \\329=500b\\ \\b=\dfrac{329}{500}=0.658$

Therefore,

$y=500\cdot 0.658^{\frac{x}{2}}$

Check the rest values:

$x=4: \ y=500\cdot 0.658^{\frac{4}{2}}=500\cdot 0.658^2\approx 216\\ \\x=6:\ y=500\cdot 0.658^{\frac{6}{2}}=500\cdot 0.658^3\approx 142\\ \\x=8:\ y=500\cdot 0.658^{\frac{8}{2}}=500\cdot 0.658^4\approx 93\\ \\x=10:\ y=500\cdot 0.658^{\frac{10}{2}}=500\cdot 0.658^5\approx 61\\ \\x=12:\ y=500\cdot 0.658^{\frac{12}{2}}=500\cdot 0.658^6\approx 40$

7 0

3 years ago