Answer:
1). (0, 1)
2). (1, a)
3). Above
Step-by-step explanation:
This question is not complete; here is the complete question.
The graph of an exponential function of the form y = f(x) = [tex]a^{x}[/tex] passes through the points 1). and 2). . The graph lies 3). x-axis.
1). (0.a), (0,1), (0,2), (0,-1)
2). (1,0), (1,1), (1,a), (1,-2)
3). (above), (below), (on the)
Given exponential function is f(x) = [tex]a^{x}[/tex]
1). For x = 0,
f(0) = [tex]a^{0}[/tex] = 1
Therefore, the given exponential function passes through a point (0, 1).
2). For x = 1,
f(1) = [tex]a^{1}[/tex]
f(1) = a
Therefore, graph of the exponential function passes through (1, a)
3).For y = 0
0 = [tex]a^{x}[/tex]
But for any value of 'x', f(x) will never be zero. Therefore, there is no x-intercept.
The graph lies above the x-axis.
Using the information above regarding the proportion of agenda-less meetings, choose the correct conclusion for this hypothesis test.
H0:p=0.45 ; Ha:p>0.45
The p-value for this hypothesis test is 0.025.
The level of significance is α=0.05
Select the correct answer below:
There is sufficient evidence to conclude that the proportion of agenda-less meetings is greater than 45%.
There is NOT sufficient evidence to conclude that the proportion of agenda-less meetings isgreater than 45%.
There is sufficient evidence to conclude that the proportion of agenda-less meetings is greater than 55%.
There is NOT sufficient evidence to conclude that the proportion of agenda-less meetings is greater than 55%.
Answer: There is sufficient evidence to conclude that the proportion of agenda-less meetings is greater than 45%.
Step-by-step explanation:
Given: [tex]H_0:p=0.45 \\ H_a:p>0.45[/tex]
The p-value for this hypothesis test is 0.025.
The level of significance is α=0.05
As p-value< α ∵0.025< 0.05
[if p-value< α , we reject [tex]H_0[/tex]]
then, we reject the null hypothesis.
i.e. We have sufficient evidence to support the alternative hypothesis.
Hence, the correct statement is : There is sufficient evidence to conclude that the proportion of agenda-less meetings is greater than 45%.
An article contained the following observations on degree of polymerization for paper specimens for which viscosity times concentration fell in a certain middle range:
418 421 422 422 425 429 431 434 437
439 446 447 449 452 457 461 465
Calculate a two-sided 95% confidence interval for true average degree of polymerization.
Answer:
The 95% confidence interval for true average degree of polymerization is (431, 446).
Step-by-step explanation:
The data provided for the degree of polymerization for paper specimens for which viscosity times concentration fell in a certain middle range is:
S = {418, 421, 422, 422, 425, 429, 431, 434, 437, 439, 446, 447, 449, 452, 457, 461, 465}
Compute the sample mean and sample standard deviation:
[tex]\bar x=\frac{1}{n}\sum X=\frac{1}{7}\times 7455=438.5294\\\\s=\sqrt{\frac{1}{n-1}\sum (X-\bar x)^{2}}=\sqrt{\frac{1}{17-1}\times 3594.2353}=14.988[/tex]
As the population standard deviation is not provided use the t-statistic to compute the two-sided 95% confidence interval for true average degree of polymerization.
[tex]CI=\bar x\pm t_{\alpha/2, (n-1)}\cdot\frac{s}{\sqrt{n}}[/tex]
The critical value of the t is:
[tex]t_{\alpha /2, (n-1)}=t_{0.05/2, (17-1)}=t_{0.025, 16}=2.12[/tex]
*Use a t-table.
Compute the 95% confidence interval for true average as follows:
[tex]CI=438.5294\pm 2.12\cdot\frac{14.988}{\sqrt{17}}[/tex]
[tex]=438.5294\pm 7.7065\\=(430.8229, 446.2359)\\\approx (431, 446)[/tex]
Thus, the 95% confidence interval for true average degree of polymerization is (431, 446).
3 sides of the triangle are distinct perfect squares. What is the smallest possible perimeter of the triangle?
Answer:
77
Step-by-step explanation:
At first, you would probably think that the side lengths are 1², 2², 3² = 1, 4 and 9 but these side lengths don't form a triangle. The Triangle Inequality states that the sum of the two shortest side lengths must be greater than the largest side length, and since 1 + 4 > 9 is a false statement, it's not a triangle. Let's try 2², 3², 4² = 4, 9, 16. 4 + 9 > 16 is also false so that doesn't work. 3², 4², 5² = 9, 16, 25 but since 9 + 16 > 25 is false (25 isn't greater than 25), that doesn't work either. 4², 5², 6² = 16, 25, 36 and since 16 + 25 > 36 is true, this is our triangle which means that the perimeter is 16 + 25 + 36 = 77.
Answer:
e
Step-by-step explanation:
e
Cell phone bills for residents of have a mean of $47/line with a standard deviation of $9/line. Find the probability that the average cost/line for the Math
Urelia made a deposit to her checking account. She had $104.00 in currency; $7.64 in coins; and checks for $83.29, $257.77, $1,332.68, and $3,984.05. What was her total deposit?
when using the rational root theorem, which of the following is a possible root of the polynomial function below f(x)=x^3-5x^2-12x+14
A.9
B.3
C.7
D.5
Answer:
[tex]\Large \boxed{\sf \ \ 7 \ \ }[/tex]
Step-by-step explanation:
Hello, please consider the following.
The polynomial function is
[tex]x^3-5x^2-12x+14[/tex]
The rational root theorem states that each rational solution
[tex]x=\dfrac{p}{q}[/tex]
, written in irreducible fraction, satisfies the two following:
p is a factor of the constant term
q is a factor of the leading coefficient
In this example, the constant term is 14 and the leading coefficient is 1. It means that p is a factor of 14 and q a factor of 1.
Let's proceed with the prime factorisation of 14:
14 = 2 * 7
Finally, the possible rational roots of this expression are :
1
2
7
14
and we need to test for negative ones too
-1
-2
-7
-14
From your list, the correct answer is 7.
Hope this helps.
Do not hesitate if you need further explanation.
Thank you
Answer:
the answer is C.) 7
Find the inverse of the one-to-one function. F(x) = 7x - 6
Answer:
The inverse is (x+6)/7
Step-by-step explanation:
y = 7x-6
To find the inverse, exchange x and y
x = 7y-6
Solve for y
x+6 = 7y
Divide each side by 7
(x+6)/7 = y
The inverse is (x+6)/7
Solving exponential functions
Answer:
None of these choices are correct
Step-by-step explanation:
Law of exponents
3^(x+5) = 9^(-1)
3^(x+5) = (3²)^(-1)
3^(x+5) = 3^(-2)
Same base, same power or exponents
x+5 = -2
x = -2 -5
x = -7
Identify the factors of x2 − 4x − 12.
(x + 4)(x − 3)
(x − 4)(x + 3)
(x − 2)(x + 6)
(x + 2)(x − 6)
Answer:
(x + 2)(x - 6)
Step-by-step explanation:
We are given the equation: x² - 4x - 12. Let's factor this.
First, look at the integer factor pairs of -12:
-1, 12
-2, 6
-3, 4
1, -12
2, -6
3, -4
We would like to find a pair whose sum is -4. Inspecting each pair, we realise that only the pair 2, -6 works because 2 + (-6) = -4.
Thus, our factors are:
x + 2 (from the 2)
x - 6 (from the -6)
The factored form of our given quadratic is:
(x + 2)(x - 6)
~ an aesthetics lover
What is heron's formula
Answer:
[tex]\boxed{A=\sqrt{s(s-a)(s-b)(s-c)}}[/tex]
Step-by-step explanation:
We can use Heron’s formula to determine the area of a triangle when three side lengths of a triangle are given.
[tex]s=\frac{a+b+c}{2}[/tex]
[tex]s : \mathrm{semi \: perimeter}[/tex]
[tex]A=\sqrt{s(s-a)(s-b)(s-c)}[/tex]
[tex]A : \mathrm{area}[/tex]
Answer:
Heron's formula gives the area of a triangle when the length of all three sides are known. Use Heron's formula to find the area of triangle ABC, if AB=3,BC=2,CA=4 . Substitute S into the formula . Round answer to nearest tenth.
Step-by-step explanation:
The average college lecture hall (auditorium) can seat 60 students with a standard deviation of 21. Assume that a total of 60 lecture halls are selected for a sample. What is the standard deviation for the sample mean?
Answer:
The standard deviation of the sample mean is [tex]\sigma _ {\= x } = 2.711[/tex]
Step-by-step explanation:
From the question we are told that
The mean is [tex]\= x = 60[/tex]
The standard deviation is [tex]\sigma = 21[/tex]
The sample size is [tex]n = 60[/tex]
Generally the standard deviation of the sample mean is mathematically represented as
[tex]\sigma _ {\= x } = \frac{\sigma }{\sqrt{n} }[/tex]
substituting values
[tex]\sigma _ {\= x } = \frac{ 21 }{\sqrt{60} }[/tex]
[tex]\sigma _ {\= x } = 2.711[/tex]
Find the volume of the solid that is generated when the given region is revolved as described. The region bounded by f(x)equalse Superscript negative x, xequalsln 16, and the coordinate axes is revolved around the y-axis.
Answer:
The answer is "[tex]= \frac{\pi}{8}(15-41n^2 )\\[/tex]".
Step-by-step explanation:
The radius = x
the value of height is= [tex]e^{-x}[/tex]
The Formula for the volume by the shell method:
[tex]\bold{V= \int\limits^b_a {(2\pi\ rad)(height)} \, dx }[/tex]
[tex]= 2\pi \int\limits^{In 16}_0 {xe^{-x}} \, dx\\\\\\= 2\pi {(e^{-x}[-x-1])}_{0}^{In 16}\\\\ = 2\pi {(\frac{1}{16} \times (15-41n^2 ))}\\\\ = \frac{\pi}{8}(15-41n^2 )\\[/tex]
What is the y-intercept of the logistic growth model y = c ÷ (1 + ae^-rx)? Show the steps for calculation. What does this point tell us about the population?
Answer:
The answer is "[tex]y=\frac{c}{1+a}[/tex]".
Step-by-step explanation:
Given:
[tex]\bold{y=\frac{c}{1+ae^{-rx}}}[/tex]
For the y-intercept, the value x is =0
[tex]y=\frac{c}{1+ae^{-r \times 0}}[/tex]
[tex]y=\frac{c}{1+ae^{0}}[/tex]
[tex]\therefore e^0 = 1[/tex]
[tex]y=\frac{c}{1+a\times 1}}[/tex]
[tex]\boxed{y=\frac{c}{1+a}}[/tex]
A pool that is 2.9 m tall cast a shadow that is 1.76 m long. At the Same time, a nearby building casts a shadow that is 38.25m long how tall is the building? round your answer to the nearest meter
Answer:
63m
Step-by-step explanation:
A pool that is 2.9m tall cast a shadow that is 1.76m
At the same time, a nearby building casts a shadow that is 38.25m long.
We are to find the height of the building.
If an object of length 2.9m cast an image of 1.76m ,
Then an image of 38.25m willl be cast by an object of what length?
Cross multiplying this gives:
[tex]\frac{38.25 * 2.9}{1.76}[/tex] = 63.02556818 = 63m (rounded up to nearest meter)
In 2015, the CDC analyzed whether American adults were eating enough fruits and vegetables. Let the mean cups of vegetables adults eat in a day be μ. If the CDC wanted to know if adults were eating, on average, more than the recommended 2 cups of vegetables a day, what are the null and alternative hypothesis? Select the correct answer below: H0: μ=2; Ha: μ>2 H0: μ>2; Ha: μ=2 H0: μ=2; Ha: μ<2 H0: μ=2; Ha: μ≠2
Answer:
H0: μ=2; Ha: μ>2
Step-by-step explanation:
The null hypothesis is the default hypothesis while the alternative hypothesis is the opposite of the null and is always tested against the null hypothesis.
In this case study, the null hypothesis is that adults were eating, on average, the recommended 2 cups of vegetables a day: H0: μ=2 while the alternative hypothesis is adults were eating, on average, more than the recommended 2 cups of vegetables a day Ha: μ>2.
There are 6 brooms and 4 mops in a janitor's closet. What is the fraction of the number of brooms to the number of mops?
Answer:
6/4
Step-by-step explanation:
Answer:
6/4
Step-by-step explanation:
There are 6 brooms to 4 mops.
So you would write it that way as a fraction, but you could also write it like 6:4 or 6 to 4.
HELP ME PLS! ASAP I NEED IT WILL FULL PROCESS!!
Write each equation in slope-intercept form (if not in that form). Determine the slope and identify the value where the y-axis intersects. Use these two values to graph the linear equation.
1. y= -x+2
2. 5x+15y=30
3. -50x+20y=40
4. f(x)=-2x+1
5. h(x) = -3/4x+2
Answer:
1. slope = -x, Y-intercept = 2
2. slope = -1/3,Y-intercept = 2
3. slope = 5/2, Y-intercept = 2
4. slope = -2, Y-intercept = 1
5. slope = -3/4, Y-intercept = 2
Step-by-step explanation:
To find the slope and y-intercept you have to solve the equation. You only have to solve for 2 and 3. 1, 4, and 5 already have the equations solved. For questions 1, 4, and 5 the first number is the slope and the second number is the y-intercept. For questions 2 and 5 you have to solve the equations. You have to bring the y to the right side of the equation. to do that you subtract the y. Then you have to bring the number that was already on the right side of the equation to the left side. To do this you also have to subtract that number to bring it to the other side. Now you have to get the y by its self, and to do this you divide the equation. You divide both sides of the equation. Then you can get the slope and y-intercept.
helppppppppp pleaseeeeeee
Answer:
Going from up to down
Box #1=0
Box #2=3
Box #3=5
Step-by-step explanation:
Answer:
Step-by-step explanation:
Going from up to down
Box #1=0
Box #2=3
Box #3=5
A car started from town p and travelled towards town Q at 70 km/h. at the same time a van started from town Q and travelled to town p at 60km/h after 11/4 hours they were 65 km apart ,still travelling toward each other
Answer:
422.5km
Step-by-step explanation:
Car A started from point P to point R in 11/4hrs by the speed of 70km/hr
Distance = speed × time
= 70×11/4
= 770/4
= 192.5km
Car B
Started from point R and headed to point S in 11/4 hrs by speed of 60km/hr
Distance travelled = speed × time
= 60× 11/4
= 660/4
= 165km
Distance travelled from P to Q
= PR+RS+SQ
= 192.5+65+165
= 422.5km
Convert the measurement. Use unit fractions or the metric conv
38 L to mL
38 L =
mL. (Type a whole number or a decimal.)
G(x) = 5x + 3
Find G(2b)
Answer:
G(2b) = 10b + 3
Step-by-step explanation:
To find G(2b), simply plug in 2b wherever there is an x in G(x).
G(x) = 5x + 3
G(2b) = 5(2b) + 3
G(2b) = 10b + 3
Answer:
3 + 10b maybe?
Step-by-step explanation:
The length of time, in hours, it takes a group of people, 40 years and older, to play one soccer match is normally distributed with a mean of 2 hours and a standard deviation of 0.5 hours. A sample of size 50 is drawn randomly from the population. Find the probability that the sample mean is less than 2.3 hours. g
Answer:
[tex]P(\overline X < 2.3) = 0.9999[/tex]
Step-by-step explanation:
Given that:
mean = 2
standard deviation = 0.5
sample size = 50
The probability that the sample mean is less than 2.3 hours is :
[tex]P(\overline X < 2.3) = P(Z \leq \dfrac{\overline x - \mu}{\dfrac{\sigma}{\sqrt{n}}})[/tex]
[tex]P(\overline X < 2.3) = P(Z \leq \dfrac{2.3 - 2.0}{\dfrac{0.5}{\sqrt{50}}})[/tex]
[tex]P(\overline X < 2.3) = P(Z \leq \dfrac{0.3}{0.07071})[/tex]
[tex]P(\overline X < 2.3) = P(Z \leq 4.24268)[/tex]
[tex]P(\overline X < 2.3) = P(Z \leq 4.24)[/tex]
From z tables;
[tex]P(\overline X < 2.3) = 0.9999[/tex]
HELP! WILL GIVE BRAINLIEST!
Answer:
Her eye discourses; I will answer it.
I am too bold; ’tis not to me she speaks:
Two of the fairest stars in all the heaven,
Having some business, do entreat her eyes
To twinkle in their spheres till they return.
Step-by-step explanation:
Write as an algebraic expression and simplify if possible:
A number that is 20% greater than b
Answer:
1.2b
Step-by-step explanation:
When we say, "a number that is 20% greater than b," we're talking about a number that is ...
b + 20%×b
= b + 0.20b
= b(1 + 0.20)
= 1.2b
Solve: 0.1m−1.3m=−2.1−2.7.
Answer:4
Step-by-step explanation:
Simplify what you can which is 0.1m-1.3m
you end up getting -1.2m
Now do the other side of the equation which is 2.1-2.7 which is -4.8
Divide -4.8 by -1.2 to get m=4
Answer: m=4
Step-by-step explanation:
[tex]0.1m-1.3m=-2.1-2.7[/tex]
add like terms
[tex]-1.2m=-2.1-2.7[/tex]
subtract
[tex]-2.1-2.7=-4.8[/tex]
[tex]-1.2m=-4.8[/tex]
multiply both sides by 10
[tex]-12m=-48[/tex]
divide -12 on both sides
m=4
Calculate how much 30% alcohol solution and 80% alcohol solution must be mixed to end up with exactly 14 gallons of a 40% alcohol solution. You'll need ____ gallons of the 80% solution.
Answer:
You'll need 2.8 gallons of the 80% solution.
Step-by-step explanation:
Let the volume of 30% alcohol =x gallons
Then the volume of 80% alcohol =(14-x) gallons
Since we want to obtain a 40% alcohol solution, we have:
0.3x+0.8(14-x)=0.4(14)
0.3x+11.2-0.8x=5.6
0.8x-0.3x=11.2-5.6
0.5x=5.6
x=11.2
Therefore, the volume of 80% alcohol
=14-11.2
=2.8 gallons
You'll need 2.8 gallons of the 80% solution.
The difference between seven times a number and 9 is equal to three times the sum of the number and 2. Find the number
If x represents the number, which equation is correct for solving this problem?
The difference between seven times a number and 9 is equal to three times the sum of the number and 2. Find the number
If x represents the number, which equation is correct for solving this problem?
Answer:
Number:3.75
Equation:7 x-9=3(x+2)
Step-by-step explanation:
Let the number be x.
According to the question,
7 x-9=3(x+2)
7 x-9= 3 x+ 6
7 x- 3 x= 9+6
4 x= 15
x=15/4
x=3.75
If you verify the answer you will get,
11.25=11.25
Thank you!
write the reciprocol of following: a)11/9 b)5 1/8
Answer:
ans1 9/11
ans2 8/52
it is because the reciprocol means the opposite of the the give value
Answer:
a.[tex] \frac{9}{11} [/tex]b. [tex] \frac{8}{41} [/tex]Step-by-step explanation:
a.
[tex] \frac{11}{9} [/tex]
Just flip the fraction, you will get:
[tex] \frac{9}{11} [/tex]
b.
[tex]5 \frac{1}{8} [/tex]
The first thing you have to do is that convert the mixed fraction into improper fraction.
To convert mixed fraction into improper fraction, you have to rewrite the denominator which is 8 , Thenafter you have to multiply 5 and 8 and then add 1
It would be:
[tex] \frac{5 \times 8 + 1}{8} [/tex]
[tex] = \frac{40 + 1}{8} [/tex]
[tex] = \frac{41}{8} [/tex]
Now , you have to flip it in order to get reciprocal:
[tex] = \frac{8}{41} [/tex]
Sin?
Cos?
Or Tan???????????????
Answersin -> 48
Step-by-step explanation:
solve for the length of the horizontal line by doing:
sin(55)=x/58
rearrange: x = sin(55) times 58 = 47.51
round UP to 48
Consider this quote: "In a recent survey, 65 out of 100 consumers reported that they preferred plastic bags instead of paper bags for their groceries. If there is no difference in the proportions who prefer each type in the population, the chance of such extreme results in a sample of this size is about .03. Because .03 is less than .05, we can conclude that there is a statistically significant difference in preference." Give a numerical value for each of the following.
a. The p-value.
b. The level of significance, α.
c. The sample proportion.
d. The sample size.
e. The null value.
Answer:
Step-by-step explanation:
The p value (probability of obtaining results as extreme the z score if null is true) is usually the value derived to make a conclusion and in this case the p value is 0.03
The level of significance is the value usually compared with the p value which is 0.05
The sample promotion is 65 out of 100 = 65/100 = 0.65
The sample size is the total number of consumers which is 100
The null value is usually the default value. The null value would assume that there is no difference in the proportions who prefer each type in the population. There are two preferences: 100/2 = 50- 0.5 for each preference.