What is the percent of change from 100 to 14

Brennan took a total of 16 pages of notes during 8 hours of class. After attending 10 hours of class, how many total pages of no

Nezavi [6.7K]

We use unitary method over here. To find out the number pages he writes in 1 hour we should;
16÷8 = 2.
So Brennan writes 2 pages in 1 hour.
Hence, in 10 hours he writes;
2 × 10 = 20.
∴ in ten hours Brennan writes 20 pages.

6 0

2 years ago

In a simple random sample of 300 boards from this shipment, 12 fall outside these specifications. Calculate the lower confidence

Lyrx [107]

Answer:

The 95% confidence interval for the percentage of all boards in this shipment that fall outside the specification is (1.8%, 6.2%).

Step-by-step explanation:

In a random sample of 300 boards the number of boards that fall outside the specification is 12.

Compute the sample proportion of boards that fall outside the specification in this sample as follows:

$\hat p =\frac{12}{300}=0.04$

The (1 - α)% confidence interval for population proportion p is:

$CI=\hat p\pm z_{\alpha/2}\sqrt{\frac{\hat p(1-\hat p)}{n}}$

The critical value of z for 95% confidence level is,

$z_{\alpha/2}=z_{0.05/2}=z_{0.025}=1.96$

*Use a z-table.

Compute the 95% confidence interval for the proportion of all boards in this shipment that fall outside the specification as follows:

$CI=\hat p\pm z_{\alpha/2}\sqrt{\frac{\hat p(1-\hat p)}{n}}\\=0.04\pm1.96\sqrt{\frac{0.04(1-0.04)}{300}}\\=0.04\pm0.022\\=(0.018, 0.062)\\\approx(1.8\%, 6.2\%)$

Thus, the 95% confidence interval for the proportion of all boards in this shipment that fall outside the specification is (1.8%, 6.2%).

6 0

2 years ago

6 ( x - 1 ) = 9( x - 4 ) solve for x I'm giving points pls answer fast

Alex

Answer:

x = 10

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Equality Properties

Step-by-step explanation:

Step 1: Define

6(x - 1) = 9(x - 4)

Step 2: Solve for x

Distribute: 6x - 6 = 9x - 36
Subtract 6x on both sides: -6 = 3x - 36
Isolate x term: 30 = 3x
Isolate x: 10 = x
Rewrite: x = 10

Step 3: Check

Plug in x into the original equation to verify it's a solution.

Substitute in x: 6(10 - 1) = 9(10 - 4)
Subtract: 6(9) = 9(6)

Here we see that the 2 expressions are exactly the same.

∴ x = 10 is the solution to the equation.

6 0

2 years ago

Lilia wants to rewrite 10/25 as a percent she decided to represent 10/25 first in a picture a.)how many sets of 25 will she need

neonofarm [45]

Answer:

4 sets of 25

Step-by-step explanation:

100/25 = 4

Not sure what you are asking in the end.

7 0

2 years ago

Find the value of 216m³ - 8n³ if 6m - 2n=0 and mn=12

mestny [16]

Answer:

0

Step-by-step explanation:

Given that,

6m - 2n=0

=>6m=2n

=>n=3m [divide both side by 2]

& mn=12

Now,

216c - 8n³

= 216m³- 8(3m)³

=216m³- 8 .27m³

=216m³- 216m³

=0

6 0

2 years ago