Answer:
-1+i
Step-by-step explanation:
(2+5i)+(-3-4i)
=(2-3)+i(5-4)
=-1+i
Answer:
[tex]−1+i[/tex]
Step-by-step explanation:
[tex](2+5i)+(−3−4i)[/tex]
[tex]2+5i−3−4i[/tex]
[tex]−1+5i−4i[/tex]
[tex]−1+i[/tex]
Hope it is helpful.....Shift parabolas
f(2)=z²
g(x) = (x+4)^2 - 1
We can think of g as a translated (shifted) version of fi
Complete the description of the transformation.
Use nonnegative numbers.
To get the function g, shift f up/down
by
units and to the right/left
by
units.
What is the value of tan(π6)
A manufacturer claims that the mean lifetime,u , of its light bulbs is 51 months. The standard deviation of these lifetimes is 7 months. Sixty bulbs are selected at random, and their mean lifetime is found to be 53 months. Can we conclude, at the 0.1 level of significance, that the mean lifetime of light bulbs made by this manufacturer differs from 51 months?
Perform a two-tailed test. Then fill in the table below.
Carry your intermediate computations to at least three decimal places, and round your responses as specified in the table. (If necessary, consult a list of formulas.)
the null hypothesis:
The alternative hypotehsis:
The type of test statistic (choose Z, t, Chi-square, or F)
The value of the test statistic (round to at least three decimal places:
Can we conclude that the mean lifetime of the bulbs made by this manufacture differ from 51 months?
Answer:
We reject H₀, and conclude thet the mean lifetime of the bulbs differ from 51 month
Step-by-step explanation:
Manufacturing process under control must produce items that follow a normal distribution.
Manufacturer information:
μ = 51 months mean lifetime
σ = 7 months standard deviation
Sample Information:
x = 51 months
n = 60
Confidence Interval = 90 %
Then significance level α = 10 % α = 0.1 α/2 = 0,05
Since it is a manufacturing process the distribution is a normal distribution, and with n = 60 we should use a Z test on two tails.
Then from z- table z(c) for α = 0,05 is z(c) = 1.64
Hypothesis Test:
Null Hypothesis H₀ x = μ
Alternative Hypothesis Hₐ x ≠ μ
To calculate z statistics z(s)
z(s) = ( x - μ ) / σ /√n
z(s) = ( 53 - 51 ) / 7 /√60
z(s) = 2 * 7.746 / 7
z(s) = 2.213
Comparing z(s) and z(c)
z(s) > z(c) then z(s) is in the rejection region
We reject H₀, and conclude thet the mean lifetime of the bulbs differ from 51 month
You roll a 6-sided die.
What is P(odd)?
Write your answer as a percentage.
%
Submit
Answer:
it is 50%
Step-by-step explanation:
>:( im doing ixl and im in paine but here is the answer ok
Consider the function f(x) = 2^x
and function g
g(x) = f(x) + 6
How will the graph of function g differ from the graph of function ?
Answer:
The graph of function g is the graph of function f shifted 6 units up
Step-by-step explanation:
If you plug in the values, [tex]g(x) = 2^{x} + 6[/tex]. If the 6 was added or subtracted from the x in the exponent, it would shift horizontally (left and right), but adding 6 to f(x) separately moves the graph vertically (up and down). Hope this helps.
The following function represents exponential growth or decay.
P= 2.9(1.05)^t
a. The initial quantity is :_______________
b. The initial quantity is :__________
c. Is the quantity growing or decaying?
Answer:
a) The initial quantity is 2.9.
b) The initial quantity is 2.9.
c) The multiplier is 1.05 > 1, and thus, the quantity is growing.
Step-by-step explanation:
Exponential equations:
Have the following format:
[tex]A(t) = A(0)(k)^t[/tex]
In which A(0) is the initial amount and k is the multiplier.
If k > 0, the quantity is growing.
If k < 0, the quintity is decaying.
In this question:
[tex]P(t) = 2.9(1.05)^t[/tex]
a, b. The initial quantity is
P(0). So
[tex]P(0) = 2.9(1.05)^0 = 2.9*1 = 2.9[/tex]
The initial quantity is 2.9.
c. Is the quantity growing or decaying?
The multiplier is 1.05 > 1, and thus, the quantity is growing.
Only answer if you're very good at Math.
Given f(x) = x + 1 and g(x) = x ^2, what is
( g o f) (x)?
A: ( g o f) ( x) = x^2 ( x + 1)
B: ( g o f) (x) = x^2 + 1
C: ( g o f) (x) = x^2 + x + 1
D: ( g o f) (x) = ( x + 1) ^2
Question: Given f(x) = x + 1 and g(x) = x ^2, what is
( g o f) (x)?
Answer: (C)---(g o f) (x) = x^2 + x + 1
Why? I just took this quiz on Plato and this was the correct answer.
Hope this help's!!!
~Kenzie~
Answer:
Solution given:
f(x) = x +1 and g(x) = x²,
now
(gºf)(x) =g(fx)=g(x+1)=(x+1)²
D) (gºf)(x) = (x + 1)^2
In the year 2000, the average car had a fuel economy of 22.6 MPG. You are curious as to whether the average in the present day is less than the historical value. What are the appropriate hypotheses for this test
Answer:
The appropriate null hypothesis is [tex]H_0: \mu = 22.6[/tex]
The appropriate alternative hypothesis is [tex]H_1: \mu < 22.6[/tex]
Step-by-step explanation:
The average car had a fuel economy of 22.6 MPG. Test if the current average is less than this.
At the null hypothesis, we test if the current average is still of 22.6 MPG, that is:
[tex]H_0: \mu = 22.6[/tex]
At the alternative hypothesis, we test if the current mean has decreased, that is, if it is less than 22.6 MPG. So
[tex]H_1: \mu < 22.6[/tex]
HELLLLLLLPPPPPPPPPPPP
Answer:
250
5:15
true
i already helped you
Answer:
9- 4 hours 30 minutes
10- 250
11- False
What are the coordinates of the point plotted on this graph?
The answer is C: (-1, -8)
A house on the market was valued $234,000. After several years, the value decreased by 9%. By how much did the house's value decrease in dollars? What is the current value of the house?
The price decreases by $288,000*(0.19)=$54,720
The current value is then $233,280.
can someone please help me solve?
Answer:
0.75
Step-by-step explanation:
d = FE = 4
e = DF = 3
f = ED = 5
f/sin(F) = e/sin(E)
5/sin(90) = 3/sin(E)
5 = 3/sin(E)
sin(E) = 3/5 =0.6
E = asin(0.6) = 36.869898... degrees
tan(E) = tan(36.869898...) = 0.75
help help please help help
Answer:
The range is 5.
Step-by-step explanation:
You can deduce this by concluding all other statements are true, or by calculating the range. 10 - 1 = 9
Part B: Find an irrational number that is between 9.5 and 9.7. Explain why it is irrational. Include the decimal approximation of the irrational number to the nearest hundredth. (3 points)
Answer: Part A: Find a rational number that is between 9.5 and 9.7. Explain why it is rational.
Step-by-step explanation:
Part B: Find an irrational number that is between 9.5 and 9.7. Explain why it is irrational. Include the decimal approximation of the irrational number to the nearest hundredth
Deshaun has scored 86, 83, 93, and 79 on her previous four tests. What score does he need on his next test so that his average (mean) is 86?
Answer:
89
Step-by-step explanation:
341 ( total of previous 4 tests) + 89= 430
Divide 430 by 5 ( number of tests)
The work shows how to use long division to find (x2 + 3x –9) ÷ (x – 2).
Answer:
x+5+\frac{1}{x-2}
X + 5 + 1/( x - 2)
Step-by-step explanation:
I would recomend using Symbolab to help you understand math like this in an easy step-by-step manner. It will take a while to explain so you can see how to solve these problems through that!
If the mean of a normal distribution is 26, what is the median of the distribution? O A. 22 O B. 14 C. 26 D. 18 SUB
Answer:
B
Step-by-step explanation:
26 divides by 2 = 13
13+2=14
someone help please I'm stuck and frustrated,?????
Answer:
The area of the circle in terms of π is:
9/64 π in^2Step-by-step explanation:
To find the area of that circle, you can use the equation:
Area of a circle = [tex]\pi * \frac{D^{2}}{4}[/tex]Where:
D = Diameter (3/4 in)Now, we can replace the given measurement in the equation:
Area of a circle = [tex]\pi * \frac{(\frac{3}{4}in) ^{2}}{4}[/tex]Area of a circle = [tex]\pi * \frac{\frac{9}{16}in ^{2}}{4}[/tex]Area of a circle = [tex]\pi * \frac{9}{64} in^{2}[/tex]That result is the same that to write:
Area of a circle = [tex]\frac{9}{64}\pi in^{2}[/tex]By this reason, the result is 9/64 π in^2, giving the result in terms of π.
Find the area of the kite with diagonals a= 12 and b=9
A) 30
B) 72
C) 54
D) 108
maybe 108 is the answer.
Please help, I’m so lost question in picture
Jared bought a new amplifier for his guitar by borrowing the money from his mom. The amplifier cost $235. Jared is paying his mom back $18 each week. If Jared still owes his mom $73, how many weeks has he been paying her back?
Answer:
9 weeks
235 -73=162 (this is the amount he paid)
162/18=9 (he has been paying his mom for 9 weeks)
Answer:
9 weeks
Step-by-step explanation:
235-73 = 162 (how much he has paid her thus far)
162/18 (how many times he payed her) = 9
Cuánto es 1/4 mas 1/4
Answer:
0.5
Step-by-step explanation:
don't mind the yt but how/?
r = 44
12 = r -(34-2)
12 = r -(32)
12 = r-32
r = 32+12
r = 44
Find the value of x
(it needs to be 20 characters so don’t mind the extra ness ………..)
What is the solution to
3x*2-2x+4=0
Answer:
Step-by-step explanation:
[tex]3x^2 - 2x + 4 = 0[/tex]
a = 3, b = -2, c = 4
[tex]x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a} \\\\x = \frac{2 \pm \sqrt{2^2 - (4 \times3 \times 4} )}{2 \times 3}\\\\x = \frac{2 \pm \sqrt{4 - 48} }{6}\\\\x = \frac{2 \pm \sqrt{-44} }{6}\\\\x =\frac{2 \pm 2i \sqrt{11} }{6}\\\\x =\frac{1 + i \sqrt{11} }{3}\ , x =\frac{1 - i \sqrt{11} }{3}\\\\\\\\[/tex]
Help please I don’t know how to do this
[tex]\sqrt[3]{a^2+b^2} = (a^2+b^2)^{\frac{1}{3}}[/tex]
if △ABC = △DEF, which side is congruent to EF?
A. AB
B. BC
C. AC
Answer:
BC
Step-by-step explanation:
BECAUSE BC IT'S EQUAL TO EF
Answer:
B. BC
Step-by-step explanation:
By SSS rule in ∆ ABC and DEF,
AB = DEBC = EFCA = FD
I need help asp please!!
Answer:
337.5 g
Step-by-step explanation:
mass=volume x density=112.5 x 3=337.5
.A national survey of companies included a question that asked whether the company
had at least one bilingual telephone operator. The sample results of 90 companies follow (Y
denotes that the company does have at least one bilingual operator; N denotes that it does
not).
Use this information to estimate with 95% confidence the proportion of the population that does have at least one bilingual operator.
Answer:
The 95% confidence the proportion of the population that does have at least one bilingual operator is (0.2359, 0.4307).
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.
[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In which
z is the z-score that has a p-value of [tex]1 - \frac{\alpha}{2}[/tex].
90 companies. 30 have at least one billingual operator.
This means that [tex]n = 90, \pi = \frac{30}{90} = 0.3333[/tex]
95% confidence level
So [tex]\alpha = 0.05[/tex], z is the value of Z that has a p-value of [tex]1 - \frac{0.05}{2} = 0.975[/tex], so [tex]Z = 1.96[/tex].
The lower limit of this interval is:
[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.3333 - 1.96\sqrt{\frac{0.3333*0.6667}{90}} = 0.2359[/tex]
The upper limit of this interval is:
[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.3333 + 1.96\sqrt{\frac{0.3333*0.6667}{90}} = 0.4307[/tex]
The 95% confidence the proportion of the population that does have at least one bilingual operator is (0.2359, 0.4307).
3. Mrs. Baumgartner draws a pair of supplementary angles and tells the class that
the angle measures are (4x +30)' and (2x + 6).
a. Write an equation to determine the value of x. Solve for x. SHOW ALL WORK
Answer:
Equation: 4x + 30 + 2x + 6 = 180
Answer: x = 24
Step-by-step explanation:
The sum of the measures of supplementary angles is 180 deg.
Equation:
4x + 30 + 2x + 6 = 180
Solution:
4x + 30 + 2x + 6 = 180
Add like terms on the left side.
6x + 36 = 180
Subtract 36 from both sides.
6x = 144
x = 24
Answer:
X=24
Step-by-step explanation:
Supplementary angles = 180°
4x+30+2x+6=180
Combine like terms> 4x+2x=6x
Add: 30+6=36
6x+36=180.
Subtract 36 on both sides. > 36-36=0. 180-36=144.
Drop what you have left> 6x 144
Divide by 6. > 6/6= 1. 144/6=24.
X=24
