Answer:
There are 10 digits and 6 numbers so the answer is 10 * 10 * 10 * 10 * 10 * 10 = 10⁶ = 1,000,000.
Determine the function which corresponds to the given graph. (3 points) a natural logarithmic function crossing the x axis at negative two and y axis at one. The asymptote is x = -3
Answer:
[tex]y=\log_3{(x+3)}[/tex]
Step-by-step explanation:
The parent log function has a vertical asymptote at x=0, so the asymptote at x=-3 indicates a left shift of 3 units.
The parent log function crosses the x-axis 1 unit to the right of the vertical asymptote, which this one does, indicating there is no vertical shift.
The parent log function has an x-value equal to its base when it has a y-value of 1. Here, the y-value of 1 corresponds to an x-value 3 units to the right of the vertical asymptote, so the base of this logarithm is 3.
The function is ...
[tex]\boxed{y=\log_3{(x+3)}}[/tex]
[tex](2 + 6)(2 + 3)[/tex]
Answer:
40 because (8)(5)=40 when you add the numbers inside the parenthesis
Step-by-step explanation:
Look at my picture for the written work for ANOTHER method
To solve this problem, you use the method called FOIL.
F= multiply the FIRST terms
O= multiply the OUTTER terms
I= multiply the INNER terms
L= multiply the LAST terms
Please rate this the brainlist if this helped, thanks!
Answer:
[tex]40[/tex]
Step-by-step explanation:
[tex](2+6)(2+3)[/tex]
Solve brackets.
[tex](8)(5)[/tex]
Multiply.
[tex]=40[/tex]
Kendra can make 120 soccer kicks in 3 minutes. Jovani can make 100 soccer kicks in 4 minutes. How long will it take them to make 1300 soccer kicks together?
The time it takes them to make 1300 soccer kicks together is 51 minutes
Let the number of soccer kicks be yLet the time taken be x
Writing this as a coordinate (x, y). If Kendra can make 120 soccer kicks in 3 minutes and Jovani can make 100 soccer kicks in 4 minutes, this can be written in a coordinate form as (3, 120) and (4, 100)
The standard linear equation is given as y = mx + b
Get the slope:
m = 100-120/4-3
m = -20/1
m = -20
Get the y-intercept:
Recall that y = mx + b
120 = -20(3) + b
120 = -60 + b
b = 180
The required equation is g(x) = -20x + 180
To determine the time it will take them to make 1300 soccer kicks together, substitute g(x) = 1300 and find "x"
1300 = -20x + 180
20x = 1200 - 180
20x = 1020
x = 51 minutes
Hence the time it takes them to make 1300 soccer kicks together is 51 minutes
Learn more on equations here: https://brainly.com/question/11408596
Which of the following are exterior angles? Check all that apply.
Answer:<5 and <4 are exterior angles
Step-by-step explanation:
Because they are the only ones outside it they are the only ones that are exterior angles!
<!> Brainliest is appreciated! <!>
Answer:
for AL Its 3 and 4
Support requests arrive at a software company at the rate of 1 every 30 minutes. Assume that the requests arrive as events in a Poisson process.
a) What is the probability that the number of requests in an hour is between 2 and 4 inclusive? Give your answer to four decimal places.
b) What is the expected number of requests in a 10 hour work day? Give an exact answer.
c) What is the probability that the number of requests in a 10 hour work day is between 20 and 24 inclusive? Give your answer to four decimal places.
d) What is the standard deviation of the number of requests in a 10 hour work day? Give your answer to four decimal places.
Answer:
a. 0.5413
b. 20
c. 0.3724
d. 4.4721
Step-by-step explanation:
Solution:-
- We will start by defining a random variable X.
X : The number of support requests arrived
- The event defined by the random variable ( X ) is assumed to follow Poisson distribution. This means the number of request in two distinct time intervals are independent from one another. Also the probability of success is linear within a time interval.
- The time interval is basically the time required for a poisson event to occur. Consequently, each distributions is defined by its parameter(s).
- Poisson distribution is defined by " Rate at which the event occurs " - ( λ ). So in our case the rate at which a support request arrives in a defined time interval. We define our distributions as follows:
X ~ Po ( λ )
Where, λ = 1 / 30 mins
Hence,
X ~ Po ( 1/30 )
a)
- We see that the time interval for events has been expanded from 30 minutes to 1 hour. However, the rate ( λ ) is given per 30 mins. In such cases we utilize the second property of Poisson distribution i.e the probability of occurrence is proportional within a time interval. Then we scale the given rate to a larger time interval as follows:
λ* = [tex]\frac{1}{\frac{1}{2} hr} = \frac{2}{1hr}[/tex]
- We redefine our distribution as follows:
X ~ Po ( 2/1 hr )
- Next we utilize the probability density function for poisson process and accumulate the probability for 2 to 4 request in an hour.
[tex]P ( X = x ) = \frac{e^-^l^a^m^b^d^a . lambda^x}{x!}[/tex]
- The required probability is:
[tex]P ( 2 \leq X \leq 4 ) = P ( X = 2 ) + P ( X = 3 ) + P ( X = 4 )\\\\P ( 2 \leq X \leq 4 ) = \frac{e^-^2 . 2^2}{2!} + \frac{e^-^2 . 2^3}{3!} + \frac{e^-^2 . 2^4}{4!}\\\\P ( 2 \leq X \leq 4 ) = 0.27067 + 0.18044 + 0.09022\\\\P ( 2 \leq X \leq 4 ) = 0.5413[/tex] Answer
b)
We will repeat the process we did in the previous part and scale the poisson parameter ( λ ) to a 10 hour work interval as follows:
λ* = [tex]\frac{2}{1 hr} * \frac{10}{10} = \frac{20}{10 hr}[/tex]
- The expected value of the poisson distribution is given as:
E ( X ) = λ
Hence,
E ( X ) = 20 (10 hour work day) .... Answer
c)
- We redefine our distribution as follows:
X ~ Po ( 20/10 hr )
- Next we utilize the probability density function for poisson process and accumulate the probability for 20 to 24 request in an 10 hour work day.
[tex]P ( X = x ) = \frac{e^-^l^a^m^b^d^a . lambda^x}{x!}[/tex]
- The required probability is:
[tex]P ( 20 \leq X \leq 24 ) = P ( X = 20 ) + P ( X = 21 ) + P ( X = 22 )+P ( X = 23 ) + P ( X = 24 )\\\\P ( 20 \leq X \leq 24 ) = \frac{e^-^2^0 . 20^2^0}{20!} + \frac{e^-^2^0 . 20^2^1}{21!} + \frac{e^-^2^0 . 20^2^2}{22!} + \frac{e^-^2^0 . 20^2^3}{23!} + \frac{e^-^2^0 . 20^2^4}{24!} \\\\P ( 20 \leq X \leq 24 ) = 0.0883 +0.08460 +0.07691 +0.06688+0.05573\\\\P ( 20 \leq X \leq 24 ) = 0.3724[/tex] Answer
c)
The standard deviation of the poisson process is determined from the application of Poisson Limit theorem. I.e Normal approximation of Poisson distribution. The results are:
σ = √λ
σ = √20
σ = 4.4721 ... Answer
In October 1945, the Gallup organization asked 1,487 randomly sampled Americans, "Do you think we can develop a way to protect ourselves from atomic bombs in case other countries tried to use them against us?" Did a majority of Americans feel the United States could develop a way to protect itself from atomic bombs in 1945? Use the α = 0.05 level of significance.
Answer:
Yes. There is enough evidence to support the claim that the proportion of Americans feel the United States could develop a way to protect itself from atomic bombs in 1945 is significantly greater than 0.5.
Step-by-step explanation:
The question is incomplete:
In October 1945, the Gallup organization asked 1487 randomly sampled Americans, "Do you think we can develop a way to protect ourselves from atomic bombs in case other countries tried to use them against us?" with 788 responding yes. Did a majority of Americans feel the United States could develop a way to protect itself from atomic bombs in 1945? Use the α=0.05 level of significance.
This is a hypothesis test for a proportion.
The claim is that the proportion of Americans feel the United States could develop a way to protect itself from atomic bombs in 1945 is significantly greater than 0.5.
Then, the null and alternative hypothesis are:
H_0: \pi=0.5\\\\H_a:\pi>0.5
The significance level is 0.05.
The sample has a size n=1487.
The sample proportion is p=0.53.
[tex]p=X/n=788/1487=0.53[/tex]
The standard error of the proportion is:
[tex]\sigma_p=\sqrt{\dfrac{\pi(1-\pi)}{n}}=\sqrt{\dfrac{0.5*0.5}{1487}}\\\\\\ \sigma_p=\sqrt{0.000168}=0.013[/tex]
Then, we can calculate the z-statistic as:
[tex]z=\dfrac{p-\pi-0.5/n}{\sigma_p}=\dfrac{0.53-0.5-0.5/1487}{0.013}=\dfrac{0.03}{0.013}=2.288[/tex]
This test is a right-tailed test, so the P-value for this test is calculated as:
[tex]\text{P-value}=P(z>2.288)=0.011[/tex]
As the P-value (0.011) is smaller than the significance level (0.05), the effect is significant.
The null hypothesis is rejected.
There is enough evidence to support the claim that the proportion of Americans feel the United States could develop a way to protect itself from atomic bombs in 1945 is significantly greater than 0.5.
If x ∥ y and y ∥ z, then _____
Answer:
x ║ z
Step-by-step explanation:
Lines parallel to the same line are parallel to each other.
x and z are both parallel to y, so are parallel to each other:
x ║ z
Michelle, a student studying music, randomly sampled fellow music majors and asked whether they listen to music while they study. The resulting confidence interval for the proportion of music students who listen to music while studying is (0.09,0.26). What is the margin of error?
Answer:
The margin of error of this confidence interval is MOE=0.085.
Step-by-step explanation:
The confidence interval bounds are usually calculated from a sample statistic substracting (for the lower bound) or adding (for the upper bound) the margin of error. This margin of error depends on the confidence level, the standard deviation and the sample size.
Then, if the lower and upper bound are calculated this way, we can calculate the margin of error as:
[tex]LB=p-MOE\\\\UB=p+MOE\\\\UB-LB=(p+MOE)-(p-MOE)=2\cdot MOE\\\\\\MOE=\dfrac{UB-LB}{2}=\dfrac{0.26-0.09}{2}=\dfrac{0.17}{2}=0.085[/tex]
Plz answer what is in the screen shot!
Answer:
([tex]\sqrt{15}[/tex])/7
Step-by-step explanation:
Let b be the tird side of the triangle
tanθ= b/c
using the pythagorian theorem we get :
a²+b²= c² ⇒ b²= c²-a²= 8²-7²=15 ⇒b=√15
so: tanθ= √15/7
hey one more for my friend :)
Answer:
Third graph from the top
Step-by-step explanation:
A proportional relationship is a straight line that goes through the point (0,0)
Answer:
The third graphStep-by-step explanation:
The third straight graph, since a proportion is a relationship in which a second variable is changed by a same value all the time (linear).
Hope this helps, if not, tell me and I shall try again
pls help me pls pls pls
Answer: 1x + 2y = 4
Step-by-step explanation:
The equation of the line is y = -1/2x + 2.
First, let's make 4 on one side of the equation. First, bring x to the left. y + 1/2x = 2. Then multiply the whole equation by two. Thus, 1x + 2y = 4.
Hope it helps <3
Help me pls pls pls pls
Answer:
Inequality Form:
x≥130
Step-by-step explanation:
isolate the variable by dividing each side by factors that don’t contain the variable.
[tex](\sqrt{5})(\sqrt[3]{5})[/tex] answers [tex]6\frac{5}{6}\\5\frac{1}{6}\\5\frac{2}{3}\\5\frac{7}{6}[/tex]
Answer:
A : [tex]5^{\frac{5}{6} }[/tex]
Step-by-step explanation:
Because you're multiplying two numbers with the same base, you can add their exponents:
[tex]\sqrt{5} = 5^{\frac{1}{2} } = 5^{\frac{3}{6} } \\\sqrt[3]{5} =5^{\frac{1}{3} } = 5^{\frac{2}{6} }[/tex]
[tex]5^{\frac{3}{6} } * 5^{\frac{2}{6} } = 5^{\frac{5}{6} }[/tex]
Tublu buys a cylindrical water tank of height 1.4m and diameter 1.1m to catch rainwater off his roof. He has a full 2 litres tin of paint in his store and decides to paint the tank (not the base). If he uses 250 ml to cover 1 , will he have enough paint to cover the tank with one layer of paint? [take ] [15 marks] (b) At a DBE lecture of 100 students, there are 29 women and 23 men. Out of these students, 4 are teachers and 24 are either men or teachers. Find the number of women teachers attending the lecture.
12 teachers...
Hope this helps.....
I NEED HELP PLEASE, THANKS! :)
Write 18(cos169° + isin169°) in rectangular form. Round numerical entries in the answer to two decimal places. (Show work)
Answer:
-17.67 +3.43i
Step-by-step explanation:
Carry out the indicated math:
18 cis 169° = (18·cos(169°) +i·18·sin(169°)) = (18·(-0.9816) +i·18·0.1908)
= -17.67 +i·3.43
Answer:
The rectangular form is z = -17.67 + i 3.43
Step-by-step explanation:
2. Write an equation of a line in slope-intercept form
that passes through a point (4,-6) and has a slope of -3.
Answer:
y = -3x+6
Step-by-step explanation:
The slope intercept form of a line is given by
y = mx+b where m is the slope and b is the y intercept
y = -3x +b
Substitute the point into the equation
-6 = -3*4+b
-6 =-12+b
Add 12 to each side
-6+12 =-12+12+b
6=b
y = -3x+6
4(x+1)=16 HELP MEEEEEE
Answer:
4(x + 1) = 16
x + 1 = 4 (Divide equation by 4)
x = 3 (subtract 1)
Answer:
x = 3
Step-by-step explanation:
4(x + 1)=16
Expand the brackets.
4x + 4 = 16
Subtract 4 on both sides.
4x + 4 - 4 = 16 - 4
4x = 12
Divide both sides by 4.
4x/4 = 12/4
x = 3
Stacy goes to the county fair with her friends. The total cost of ride tickets is given by the equation c = 3.5t, where c is the total cost of tickets and t is the number of tickets. If Stacy bought 15 tickets, she would spend $
Answer:
She would spend $52.50.
Step-by-step explanation:
c = 3.5t
c = 3.5(15)
c = $52.50
Hope this helped! :)
Answer:
328.48
Step-by-step explanation:
What is the length of AC?
Answer:
16Option A is the right option
Step-by-step explanation:
BO is bisector of line AC
so,
AB=BC
AC=AB+BC
=8+8
= 16
Hope this helps...
Good luck on your assignment....
Answer:
16
Step-by-step explanation
BD is perpendicular bisector of AC so BC is 8.
8+8=16
What is the average rate of change of the function over the interval x = 0 to x = 6? f(x)=2x−1 3x+5 Enter your answer, as a fraction, in the box.
Answer:
-11
Step-by-step explanation:
Our function is 2x-13x+5
2x-13x+5= -11x+5 F(0)= 5 and F(6)= -11*6+5 = -61 let m be the average change : m= (-61-5)/6= -11what is the answer to the problem i need help with?
Answer:
C
Step-by-step explanation:
Recall the equation for a circle:
[tex](x-h)^2+(y-k)^2=r^2[/tex], where the center is (h,k) and the radius is r.
The given equation is:
[tex](x+5)^2+(y+7)^2=21^2[/tex]
Another way to write this is:
[tex](x-(-5))^2+(y-(-7))^2=21^2[/tex]
Thus, we can see that h=-5 and k=-7.
The center is at (-5, -7).
What is the solution of 4x > 36?
Answer:
x > 9
Step-by-step explanation:
Simply divide both sides by 4:
4x/4 > 36/4
x > 36/4
x > 9
━━━━━━━☆☆━━━━━━━
▹ Answer
x > 9
▹ Step-by-Step Explanation
4x > 36
--- --- → x > 9
4 4
Hope this helps!
- CloutAnswers ❁
Brainliest is greatly appreciated!
━━━━━━━☆☆━━━━━━━
a lorry is travelling at 13.5 m/s along a road whereto speed limit is 50km/h. She that the lorry is travelling below the speed limit
Answer:
First, convert 13.5 m/s to km/hr
13.5 x 3.6 = 48.6 km/hr
This is below the speed limit of 50 km/hr
Answer:
48600/hour × 1/1000= 48.6km/h
Step-by-step explanation:
What will happen (other things being equal) if you increase the sample size used to construct a given confidence interval?
Answer:
So if you increase the sample size used to construct a given confidence interval, the confidence interval will be narrower, that is, more precise.
Step-by-step explanation:
The sample size is important to find the margin of errror of a confidence interval.
The margin of error is given by a formula in the following format:
[tex]M = \frac{c*s}{\sqrt{n}}[/tex]
In which c is the critical value(depends on the distribution used, can be T or Z), s is the standard deviation(of the sample or the population) and n is the size of the sample.
As n increases, M decreases, which leads to a lower margin of error.
The lower the margin of error, the more precise the interval is.
So if you increase the sample size used to construct a given confidence interval, the confidence interval will be narrower, that is, more precise.
Evaluate the expression ( 1 + 2 i ) ( − 2 − 1 i ) and write the result in the form a + b i .
Answer:
- 5i.
Step-by-step explanation:
( 1 + 2 i ) ( − 2 − 1 i )
= 1 * -2 + 1*-1i + 2i*-2 - 2i*1i
= -2 - i - 4i - 2i^2 i^2 = -1 so we have:
-2 - 5i +2
= 0 - 5i
= -5i.
how many are 5 x 5 ?
Find the missing side. Round your answer to the nearest tenth.
Answer:12.4
Step-by-step explanation:
hyp=16,opp=x
sin 51°=[tex]\frac{x}{16}[/tex]
cross multipy
sin 51° x 16 = x
x=0.7771 x 16
x≅12.4
how to simplify -8+5w=27
Answer:
w=7
Step-by-step explanation:
1. -8+5w=27
2. add 8 to both sides: 8+-8+5w=27+8
3. Simplify: 5w=35
4. Divide both sides by 5: 5w/5=35/5
5. w=7
Hope This Helps :)
Answer:
w = 7
Step-by-step explanation:
-8 + 5w = 27
Add 8 on both sides.
-8 + 5w + 8 = 27 + 8
5w = 35
Divide both sides by 5.
5w/5 = 35/5
w = 7
Ahmad makes compost by mixing 0.5 kg of sand with 2 kg of peat. Write the ratio of sand to peat. Give your answer in its simplest form.
Answer:
0.5kg
2kg
0.7kg
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Find the circumference of a circle with a radius of 15 centimeters. Round your answer to the nearest centimeter
Answer:
94 cm
Step-by-step explanation:
The formula for finding the circumference of a circle is;
Circumference = 2πr
where π = [tex]\frac{22}{7}[/tex] or 3.14 and
r = radius
Here radius is 15 cm so;
Circumference = [tex]2 * \frac{22}{7} * 15[/tex]
= [tex]\frac{660}{7}[/tex]cm
= 94.28cm
= 94 cm ( rounded to the nearest centimetre )