How is harry styles so photosynthesis.

Suppose the ages of multiple birth (3 or more babies) are normally distributed with a mean age of 31.7 years and a standard devi

artcher [175]

Answer:

The percent of these mothers are between the ages 30-35 is 36.53%

Step-by-step explanation:

we are given

mean of age =31.7 years

$\mu=31.7$

standard deviation of 5.2 years

$\sigma=5.2$

For age=30 years:

x=30

we can find z-score

$z=\frac{x-\mu}{\sigma}$

we can plug values

$z=\frac{30-31.7}{5.2}$

$z=-0.32692$

For age=35 years:

x=35

we can find z-score

$z=\frac{x-\mu}{\sigma}$

we can plug values

$z=\frac{35-31.7}{5.2}$

$z=0.63462$

now, we can use normal distribution table

$P(-0.32692$

now, we can find percentage

$=0.3653\times 100$

=36.53%

4 0

3 years ago

Jeremy can stand on one leg for 3.8 minutes. Express that time in seconds.

Salsk061 [2.6K]

Answer:

He can stand on one leg for 228 seconds.

Step-by-step explanation:

You multiply the 3.8 seconds by 60.

So, 3.8 * 60 = 228

Hope this helps :)

7 0

3 years ago

Read 2 more answers

Write the equation of the line that has a slope of -1/2 and a y-intercept at (0,6).

Evgesh-ka [11]

Answer:

Step-by-step explanation:

Use the slope- intercept formula:

$y = mx + b$

where m = slope and b = y-intercept.

Since we are told the slope is -1/2, this means m = -1/2

We are also told the y-intercept is at (0, 6) this means b = 6

So now we have the equation:

y = -1/2x + 6

7 0

4 years ago

Help evaluating the indefinite integral

Dafna11 [192]

Answer:

$\displaystyle \int {\frac{x}{\sqrt{4 - x^2}}} \, dx = \boxed{ -\sqrt{4 - x^2} + C }$

General Formulas and Concepts:
Calculus

Differentiation

Derivatives
Derivative Notation

Derivative Property [Multiplied Constant]:
$\displaystyle (cu)' = cu'$

Derivative Property [Addition/Subtraction]:
$\displaystyle (u + v)' = u' + v'$
Derivative Rule [Basic Power Rule]:

f(x) = cxⁿ
f’(x) = c·nxⁿ⁻¹

Integration

Integrals

Integration Rule [Reverse Power Rule]:
$\displaystyle \int {x^n} \, dx = \frac{x^{n + 1}}{n + 1} + C$

Integration Property [Multiplied Constant]:
$\displaystyle \int {cf(x)} \, dx = c \int {f(x)} \, dx$

Integration Methods: U-Substitution and U-Solve

Step-by-step explanation:

Step 1: Define

Identify given.

$\displaystyle \int {\frac{x}{\sqrt{4 - x^2}}} \, dx$

Step 2: Integrate Pt. 1

Identify variables for u-substitution/u-solve.

Set u:
$\displaystyle u = 4 - x^2$
[u] Differentiate [Derivative Rules and Properties]:
$\displaystyle du = -2x \ dx$
[du] Rewrite [U-Solve]:
$\displaystyle dx = \frac{-1}{2x} \ du$

Step 3: Integrate Pt. 2

[Integral] Apply U-Solve:
$\displaystyle \int {\frac{x}{\sqrt{4 - x^2}}} \, dx = \int {\frac{-x}{2x\sqrt{u}}} \, du$
[Integrand] Simplify:
$\displaystyle \int {\frac{x}{\sqrt{4 - x^2}}} \, dx = \int {\frac{-1}{2\sqrt{u}}} \, du$
[Integral] Rewrite [Integration Property - Multiplied Constant]:
$\displaystyle \int {\frac{x}{\sqrt{4 - x^2}}} \, dx = \frac{-1}{2} \int {\frac{1}{\sqrt{u}}} \, du$
[Integral] Apply Integration Rule [Reverse Power Rule]:
$\displaystyle \int {\frac{x}{\sqrt{4 - x^2}}} \, dx = -\sqrt{u} + C$
[u] Back-substitute:
$\displaystyle \int {\frac{x}{\sqrt{4 - x^2}}} \, dx = \boxed{ -\sqrt{4 - x^2} + C }$