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2 years ago

Solve the formula for the specified variable. D=1/2fk for f f=

1 answer:

4 0

We are asked to solve the formula $D=\frac{1}{2}fk$ for $f$ . Starting off, we can divide both sides by $k$ , so we are left with only the variable $f$ on the right-hand side. Next, we need to multiply the reciprocoal of $\frac{1}{2}$ , which is $2$ to both sides. This gives us $2*\frac{D}{k}=f$ , which, when simplified, gives us $\boxed{f=\frac{2D}{k}}$ . Hope this helped and have a phenomenal day!

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Given triangle JKL find m

timama [110]

I would set all 3 given measures equal to 180.
13x-9+4x+11+2x+7 = 180
19x +9 = 180
19x = 171
x= 9

angle l = 4 (9) + 11= 47
answer = 47

3 0

2 years ago

Express 0.009238 to 3 significant figures

adell [148]

Answer: = 9.238 * 10 ^ 3

6 0

2 years ago

The gross income of Maurice Vaughn is $785 per week.His deductions are $42.25,FICA tax,$90.33,income tax,2% state tax,1% city ta

boyakko [2]

Gross income : 785 per week

deductions are :
FICA : 42.25
income tax : 90.33
2% state tax : 0.02(785) = 15.70
1% city tax : 0.01(785) = 7.85
3% retirement : 0.03(785) = 23.55
total deductions are : 42.25+90.33+15.70+7.85+23.55 = 179.68

gross pay - deductions = net pay
785 - 179.68 = net pay
605.32 = net pay <====

7 0

2 years ago

Read 2 more answers

the center of a circular sunflower with a diameter of 4 centimeters is (-2,1). Which equation represents the sunflower?

BigorU [14]

The standard equation the circle is given by:
(x-xo) ^ 2 + (y-yo) ^ 2 = r ^ 2
Where,
(xo, yo): coordinates of the center of the circle
r: radius of the circle
Substituting values we have:
(x - (- 2)) ^ 2 + (y-1) ^ 2 = (4/2) ^ 2
Rewriting:
(x + 2) ^ 2 + (y-1) ^ 2 = 4
Answer:
An equation that represents the sunflower is:
(x + 2) ^ 2 + (y-1) ^ 2 = 4

6 0

2 years ago

Let us suppose we have data on the absorbency of paper towels that were produced by two different manufacturing processes. From

maksim [4K]

Answer:

The 95% CI for the difference of means is:

$-155.45 \leq \mu_1-\mu_2 \leq -44.55$

Step-by-step explanation:

<em>The question is incomplete:</em>

<em>"Find a 95% confidence interval on the difference of the towels mean absorbency produced by the two processes. Assumed that the standard deviations are estimated from the data. Round to two decimals places."</em>

Process 1:

- Sample size: 10

- Mean: 200

- S.D.: 15

Process 2:

- Sample size: 4

- Mean: 300

- S.D.: 50

The difference of the sample means is:

$M_d=M_1-M_2=200-300=-100$

The standard deviation can be estimated as:

$\sigma_d=\sqrt{\frac{\sigma_1^2}{n_1}+\frac{\sigma_2^2}{n_2}}\\\\\sigma_d=\sqrt{\frac{15^2}{10}+\frac{50^2}{4}} =\sqrt{22.5+625}=\sqrt{647.5}=25.45$

The degrees of freedom are:

$df=n_1+n_2-2=10+4-2=12$

The t-value for a 95% confidence interval and 12 degrees of freedom is t=±2.179.

Then, the confidence interval can be written as:

$M_d-t\cdot \sigma_d\leq \mu_1-\mu_2 \leq M_d+t\cdot \sigma_d\\\\-100-2.179*25.45\leq \mu_1-\mu_2 \leq -100+2.179*25.45\\\\-100-55.45 \leq \mu_1-\mu_2 \leq -100+55.45\\\\ -155.45 \leq \mu_1-\mu_2 \leq -44.55$

8 0

2 years ago