Answer:
The answer is below
Step-by-step explanation:
Given that:
mean (μ) = $212.45, standard deviation (σ) = $38.92 and sample size (n) = 20 students.
a) Confidence (C) = 99% = 0.99
α = 1 - C = 1 - 0.99 = 0.01
α/2 = 0.01/2 = 0.005
The z score of α/2 is the same as the z score of 0.495 (0.5 - 0.005) which is equal to 2.576. This means that Z(α/2) = 2.576
The margin of error (E) is given as:
[tex]E=Z_{\frac{\alpha}{2} }*\frac{\sigma}{\sqrt{n} } \\\\Substituting:\\\\E=2.576*\frac{38.92}{\sqrt{20} } \\\\E=8.7[/tex]
The confidence interval = (μ ± E) = (212.45 ± 8.7) = (203.75, 221.15)
Hence the 99% confidence interval is between 203.75 and 221.15.
b) The population mean is the same as the sample mean. Hence the population mean = $212.45
About 3/5th of the registered voters participated in 2016 election. California has 25 million registered voters. Find the number of registered voters who participated in 2016 election.
Answer:
Step-by-step explanation: 3x5=7056 = x25 2016
Help don’t understand
Can you help me with this math problem? Im having a hard time with it, if you can explain it too that would help a lot. attachment below
Answer:
[tex]3^{-3}\cdot \:\:8^{-3}=\frac{1}{24^3}[/tex]
Thus, the equivalent expression is: [tex]\frac{1}{24^3}[/tex]
Step-by-step explanation:
Given the expression
[tex]3^{-3}\cdot 8^{-3}[/tex]
[tex]\mathrm{Apply\:exponent\:rule}:\quad \:a^{-b}=\frac{1}{a^b}[/tex]
[tex]=8^{-3}\cdot \frac{1}{3^3}[/tex]
[tex]\mathrm{Apply\:exponent\:rule}:\quad \:a^{-b}=\frac{1}{a^b}[/tex]
[tex]=\frac{1}{3^3}\cdot \frac{1}{8^3}[/tex]
[tex]\mathrm{Multiply\:fractions}:\quad \frac{a}{b}\cdot \frac{c}{d}=\frac{a\:\cdot \:c}{b\:\cdot \:d}[/tex]
[tex]=\frac{1\cdot \:1}{3^3\cdot \:8^3}[/tex]
[tex]=\frac{1}{24^3}[/tex]
Thus,
[tex]3^{-3}\cdot \:\:8^{-3}=\frac{1}{24^3}[/tex]
Thus, the equivalent expression is: [tex]\frac{1}{24^3}[/tex]
Write an recursive rule for the sequence 7,14,21,28
A manufacturer of handcrafted wine racks has determined that the cost to produce x units per month is given by C=0.3X^2+8,000. How fast is the cost per month changing when production is changing at the rate of 14 units per month and the production level is 70 UNITS?
Costs are ___ at the rate of $___ per month at this production level.
Answer:
Costs are changing at the rate of $588 per month at this production level.
Step-by-step explanation:
From the question, we have:
C = 0.3X^2 + 8,000 ........................ (1)
Differentiating equation (1) with respect to time, t, we have:
dC/dt = (0.3 * 2) X (dX/dt)....................... (2)
Where;
X = 70
dX/dt = 14
Substituting this into equation (2), we have:
dC/dt = (0.3 * 2) * 70 * 14
dC/dt = 588
This implies that costs are changing at the rate of $588 per month at this production level.
Can someone help pls !
Answer:
(B). [tex]A_{y}[/tex] = [tex]\left[\begin{array}{cc}12&7\\17&-51\end{array}\right][/tex]
Step-by-step explanation:
12x - 13y = 7
17x - 22y = - 51
A = [tex]\left[\begin{array}{cc}12&-13\\17&-22\end{array}\right][/tex]
[tex]A_{x}[/tex] = [tex]\left[\begin{array}{cc}7&-13\\-51&-22\end{array}\right][/tex]
[tex]A_{y}[/tex] = [tex]\left[\begin{array}{cc}12&7\\17&-51\end{array}\right][/tex]
Find f(-2)for f(x)-3 . 2^x
Express the area of the entire rectangle.
Your answer should be a polynomial in standard form.
Answer:
x^2 + 11x + 24
Step-by-step explanation:
x^2 + 3x + 8x + 24 =
= x^2 + 11x + 24
sally has 2/8 cookies in a jar she ate 1/4 how many dose she have left :explain
Answer:
1.5 cookies if 2/8 is like 2 cookies out of 8, 1/16 if its like 2/8 of a cookie
Step-by-step explanation: \
1.5: 2 x 3/4 (already ate 1/4) = 1.5
1/16= 1/4 (2/8 reduced) x 1/4
slope m=-2, point: (4,3)
Answer:
Step-by-step explanation:
(y - 3) = -2(x - 4)
y = -2x + 8 + 3
y = -2x + 11
pls give brainliest
Answer:
The the linear equation in point-slope form is
[tex]y-3 = -2 (x-4)[/tex]
Step-by-step explanation:
Given
slope = m = -2point (4, 3)We know that the point-slope form of the line equation is
[tex]y-y_1=m\left(x-x_1\right)[/tex]
Here:
m is the slope(x₁, y₁) is the pointsubstituting the values m = -2 and the point (4, 3) in the point-slope form
[tex]y-y_1=m\left(x-x_1\right)[/tex]
[tex]y-3 = -2 (x-4)[/tex]
Thus, the the linear equation in point-slope form is
[tex]y-3 = -2 (x-4)[/tex]
Note: This equation could be further simplified to write it in the slope-intercept form
[tex]y=mx+b[/tex]
where m is the slope and b is the y-intercept
so writing the equation in the slope-intercept form
[tex]y-3 = -2 (x-4)[/tex]
[tex]y-3 = -2x+8[/tex]
[tex]y=-2x+8+3[/tex]
[tex]y=-2x+11[/tex]
Thus, the equation is the slope-intercept form is
[tex]y=-2x+11[/tex]Given f(x) = 2x2 – 3x + 7, find f(2.5)
Answer:
f(2.5)=3.5
Step-by-step explanation:
f(x)=2×2-3x+7
So,
f(2.5)=2×2-3×2.5+7
=4-7.5+7
=11-7.5
=3.5
Hope it will help you