Answer:
Step-by-step explanation:
Please, share the instructions that come with each problem. Thanks.
2a -a + 1 = can be simplified to a + 1.
x + y + x + 2 = cannot be simplified.
2(x + 4) + 2x =
3x + 2(x - 2) = can be expanded and then simplified:
3x + 2x - 4 = 5x - 4
Sketch the curve represented by the parametric equations (indicate the orientation of the curve), and write the corresponding rectangular equation by eliminating the parameter.
x = 3t - 5 y = 5t + 1
Answer:
(See explanation below for further details).
Step-by-step explanation:
Let be a parametric curve represented by [tex]x = 3\cdot t - 5[/tex] and [tex]y = 5\cdot t + 1[/tex], where [tex]t[/tex] is the parametric variable.
The curve is represented graphically with the help of a graphing tool, whose outcome is included in the image attached below. The corresponding rectangular equation is found by eliminating t of each equation.
[tex]t = \frac{x+5}{3}[/tex] and [tex]t = \frac{y-1}{5}[/tex]
[tex]\frac{x+5}{3} = \frac{y-1}{5}[/tex]
[tex]5\cdot (x+5) = 3\cdot (y-1)[/tex]
[tex]5\cdot x +25 = 3\cdot y - 3[/tex]
[tex]5\cdot x -3\cdot y = -28[/tex]
The parametric equations represents a linear function (first-order polynomial).
find the product of (a + b + c) and (a + b)
Answer:
a² + 2ab + b² + ac + bc
Step-by-step explanation:
(a + b + c) * (a + b) = aa + ab + ac + ba + bb + bc
= a² + 2ab + b² + ac + bc
The trick you use here is called the distributive property.
Answer:
[tex]a^2+b^2+2ab+ac+bc[/tex]
Step-by-step explanation:
[tex](a+b+c(a+b)=\\a^2+ab+ac+ab+b^2+bc=\\a^2+b^2+ab+ab+ac+bc=\\a^2+b^2+2ab+ac+bc[/tex]
please answer thank you
Answer:
Option A
Step-by-step explanation:
Given function is,
f(x) = x² + 3x + 5
We have to find the value of f(a + h) so we will substitute (a + h) in place of x, and simplify the expression.
f(a + h) = (a + h)² + 3(a + h) + 5
= a² + 2ah + h² + 3(a + h) + 5 [(a + b)² = a² + 2ab + b²]
= a² + 2ah + h² + 3a + 3h + 5
Therefore, Option A will be the answer.
Refer to the following scenario:You want to see if there is a difference between the exercise habits of Science majors and Math majors. You survey 135 science majors, and find out that 82 of them regularly exercise. You survey 92 math majors, and find out that 41 of them regularly exercise. You test your hypothesis that the proportions are different at the 1% significance level.1. Which of the following is the correct null hypothesis? A. H0 : A = 0 B. H0 : p = 0 C. H0: P1 = P2 D. H0 : H1 = 12 2. Which of the following is the correct alternative hypothesis? A. H0.: P1 + P2 B. H0 : P1 > P2 C. H0 : Pi + P2 D. H0 : M1 is not equal to M2 3. What is the pooled proportion of Science and Math majors that regularly exercise? 4. What is the p-value of your test? 5. State the conclusion of your test in context?6. What is a 99% confidence interval for the difference in the true proportions of Science and Math majors who regularly exercise?
Answer:
1. H0: P1 = P2
2. Ha: P1 ≠ P2
3. pooled proportion p = 0.542
4. P-value = 0.0171
5. The null hypothesis failed to be rejected.
At a signficance level of 0.01, there is not enough evidence to support the claim that there is significant difference between the exercise habits of Science majors and Math majors .
6. The 99% confidence interval for the difference between proportions is (-0.012, 0.335).
Step-by-step explanation:
We should perform a hypothesis test on the difference of proportions.
As we want to test if there is significant difference, the hypothesis are:
Null hypothesis: there is no significant difference between the proportions (p1-p2 = 0).
Alternative hypothesis: there is significant difference between the proportions (p1-p2 ≠ 0).
The sample 1 (science), of size n1=135 has a proportion of p1=0.607.
[tex]p_1=X_1/n_1=82/135=0.607[/tex]
The sample 2 (math), of size n2=92 has a proportion of p2=0.446.
[tex]p_2=X_2/n_2=41/92=0.446[/tex]
The difference between proportions is (p1-p2)=0.162.
[tex]p_d=p_1-p_2=0.607-0.446=0.162[/tex]
The pooled proportion, needed to calculate the standard error, is:
[tex]p=\dfrac{X_1+X_2}{n_1+n_2}=\dfrac{82+41}{135+92}=\dfrac{123}{227}=0.542[/tex]
The estimated standard error of the difference between means is computed using the formula:
[tex]s_{p1-p2}=\sqrt{\dfrac{p(1-p)}{n_1}+\dfrac{p(1-p)}{n_2}}=\sqrt{\dfrac{0.542*0.458}{135}+\dfrac{0.542*0.458}{92}}\\\\\\s_{p1-p2}=\sqrt{0.001839+0.002698}=\sqrt{0.004537}=0.067[/tex]
Then, we can calculate the z-statistic as:
[tex]z=\dfrac{p_d-(\pi_1-\pi_2)}{s_{p1-p2}}=\dfrac{0.162-0}{0.067}=\dfrac{0.162}{0.067}=2.4014[/tex]
This test is a two-tailed test, so the P-value for this test is calculated as (using a z-table):
[tex]\text{P-value}=2\cdot P(z>2.4014)=0.0171[/tex]
As the P-value (0.0171) is bigger than the significance level (0.01), the effect is not significant.
The null hypothesis failed to be rejected.
At a signficance level of 0.01, there is not enough evidence to support the claim that there is significant difference between the exercise habits of Science majors and Math majors .
We want to calculate the bounds of a 99% confidence interval of the difference between proportions.
For a 99% CI, the critical value for z is z=2.576.
The margin of error is:
[tex]MOE=z \cdot s_{p1-p2}=2.576\cdot 0.067=0.1735[/tex]
Then, the lower and upper bounds of the confidence interval are:
[tex]LL=(p_1-p_2)-z\cdot s_{p1-p2} = 0.162-0.1735=-0.012\\\\UL=(p_1-p_2)+z\cdot s_{p1-p2}= 0.162+0.1735=0.335[/tex]
The 99% confidence interval for the difference between proportions is (-0.012, 0.335).
Write In (4/9) in terms of In 2 and In 3.
A)21n 2 - 21n 3
B)4In 2 - 4In 3
C) 3(In 2 - In 3)
D)In2 2 - 4In 3
The expression ㏑(4/9) is equivalent to the expression will be 2 ㏑ 2 - 2 ㏑ 3. Then the correct option is A.
What is an equivalent expression?The equivalent is the expression that is in different forms but is equal to the same value.
Exponents can also be written as logarithms. A number base logarithm is similar to some other number. It is the exact inverse of the exponent expression.
The expression is given below.
⇒ ㏑(4/9)
Simplify the equation, then we have
⇒ ㏑(4/9)
⇒ ㏑ 4 - ㏑ 9
⇒ ㏑ (2)² - ㏑ (3)²
⇒ 2 ㏑ 2 - 2 ㏑ 3
The expression ㏑(4/9) is equivalent to the expression will be 2 ㏑ 2 - 2 ㏑ 3. Then the correct option is A.
More about the equivalent link is given below.
https://brainly.com/question/889935
#SPJ2
A survey found that the average daily cost to rent a car in Los Angeles is $102.24 and in Las Vegas is $97.35. The data were collected from two random samples of 40 in each of the two cities and the population standard deviations are $5.98 for Los Angeles and $4.21 for Las Vegas. At the 0.05 level of significance, construct a confidence interval for the difference in the means and then decide if there is a significant difference in the rates between the two cities. Let the sample from Los Angeles be Group 1 and the sample from Las Vegas be Group 2.Confidence Interval (round to 4 decimal places):
< mu1 - mu2 <
Is there a significant difference in the means?
Answer:
Step-by-step explanation:
The formula for determining the confidence interval for the difference of two population means is expressed as
Confidence interval = (x1 - x2) ± z√(s²/n1 + s2²/n2)
Where
x1 = average daily cost to rent a car in Los Angeles
x2 = average daily cost to rent a car in Las Vegas
s1 = sample standard deviation for Los Angeles
s2 = sample standard deviation for Las Vegas
n1 = number of sampled cars in Los Angeles
n2 = number of sampled cars in Las Vegas
Degree of freedom = (n1 - ) + (n2 - 1) = (40 - 1) + (40 - 1) = 38
For a 95% confidence interval, the t score from the t distribution table is 2.024
From the information given,
x1 = 102.24
s1 = 5.98
n1 = 40
x2 = 97.35
s2 = 4.21
n2 = 40
x1 - x2 = 102.24 - 97.35 = 4.89
Margin of error = z√(s1²/n1 + s2²/n2) = 2.024√(5.98²/40 + 4.21²/40) = 2.024√1.3371125
= 2.34
The 95% confidence interval is 4.89 ± 2.34
Hypothesis testing
This is a test of 2 independent groups. The population standard deviations are not known. Let μ1 be the mean average daily cost to rent a car in Los Angeles and μ2 be the the mean average daily cost to rent a car in Las Vegas
The random variable is μ1 - μ2 = difference in the mean average daily cost to rent a car in Los Angeles and the mean average daily cost to rent a car in Las Vegas
We would set up the hypothesis.
The null hypothesis is
H0 : μ1 = μ2 H0 : μ1 - μ2 = 0
The alternative hypothesis is
H1 : μ1 > μ2 H1 : μ1 - μ2 > 0
This is a two tailed test
Since sample standard deviation is known, we would determine the test statistic by using the t test. The formula is
(x1 - x2)/√(s1²/n1 + s2²/n2)
t = (102.24 - 97.35)/√(5.98²/40 + 4.21²/40)
t = 4.23
The formula for determining the degree of freedom is
df = [s1²/n1 + s2²/n2]²/(1/n1 - 1)(s1²/n1)² + (1/n2 - 1)(s2²/n2)²
df = [5.98²/40 + 4.21²/40]²/[(1/40 - 1)(5.98²/40)² + (1/40 - 1)(4.21²/40)²] = 1.78786983766/0.02552804373
df = 70
We would determine the probability value from the t test calculator. It becomes
p value = 0.00007
Since alpha, 0.05 > than the p value, 0.00007, then we would reject the null hypothesis. Therefore, at 5% significance level, there is sufficient evidence to conclude that there is a significant difference in the rates between the two cities.
Evaluate 5 + 2(x + 7)2 for x = -4.
O A. 23
O B. 13
O C. 18
O D. 63
Hey there! :)
Answer:
A. 23.
Step-by-step explanation:
Given:
5 + 2(x + 7)² for x = -4
Substitute in -4 for x in the equation:
5 + 2((-4) + 7)²
5 + 2(3)²
5 + 2(9)
5 + 18 = 23.
Therefore, the correct answer is A. 23.
Answer:
23
Step-by-step explanation:
5 + 2(x + 7)^2
Let x =-4
5 + 2 ( -4+7)^2
Parentheses first
5 +2 (3)^2
5+ 2*9
Multiply
5+18
add
23
WILL GET BRAINLIEST AND 20 POINTS!
Answer:
1) 2(x-1)^2
2) y=2(x-1)^2
Step-by-step explanation:
The 1st one is a statement in the terms of x, and the 2nd on is in the slope intercept(graphing) format
Tom, who is considering purchasing a new car, is comparing fuel efficiency between models by car-maker C1 and car-maker C2.
Answer: Car-maker C1
Explanation:
The minimum value is visually shown as the tip of the left whisker. For car-maker C1, the min value is 12. For car-maker C2, the min value is 10, which we can see is less than C1's value. So that's why C1 is the answer.
helppppppp pleassssseeeeee
Answer:
First blank is 4, second blank is 0
Step-by-step explanation:
divide it :)
Answer:
Yellow box #1=0
Yellow box #1=4
Step-by-step explanation:
If f(x)=x^2, find f(-3)
Answer: f(-3) = 9
Step-by-step explanation:
Plug in -3 for x
f(-3) = (-3)^2
Square -3
(-3)^2 = 9
Answer:
f(-3)=9
Step-by-step explanation:
f(x)=[tex]x^{2}[/tex]
To find f(-3) replace x in the function by -3
Therefore:
f(−3)=(−3)^2
=−1^2 × 3^2 =1 × 9 = 9
HOPE THIS HELPS
HAVE A GOOD DAY:)
From a group of 10 women and 15 men, a researcher wants to randomly select
women and men for a study in how many ways can the study group be selected?
O A 17,876
78,016,400
OG 105, 102,625
OD 00,000,000
WO
Answer:
The total number of ways the researcher can select 5 women and 5 men for a study is 7,56,756.
Step-by-step explanation:
The complete question is:
From a group of 10 women and 15 men, a researcher wants to randomly select 5 women and 5 men for a study in how many ways can the study group be selected?
Solution:
In mathematics, the procedure to select k items from n distinct items, without replacement, is known as combinations.
The formula to compute the combinations of k items from n is given by the formula:
[tex]{n\choose k}=\frac{n!}{k!\cdot (n-k)!}[/tex]
The number of women in the group: [tex]n_{w}=10[/tex].
The number of women the researcher selects for the study, [tex]k_{w}=5[/tex]
Compute the total number of ways to select 5 women from 10 as follows:
[tex]{n_{w}\choose k_{w}}=\frac{n_{w}!}{k_{w}!\cdot (n_{w}-k_{w})!}=\frac{10!}{5!\cdot (10-5)!}=\frac{10!}{5!\times 5!}=252[/tex]
The number of men in the group: [tex]n_{m}=15[/tex].
The number of men the researcher selects for the study, [tex]k_{m}=5[/tex]
Compute the total number of ways to select 5 men from 15 as follows:
[tex]{n_{m}\choose k_{m}}=\frac{n_{m}!}{k_{m}!\cdot (n_{m}-k_{m})!}=\frac{15!}{5!\cdot (15-5)!}=\frac{15!}{5!\times 10!}=3003[/tex]
Compute the total number of ways the researcher can select 5 women and 5 men for a study as follows:
[tex]{n_{w}\choose k_{w}}\times {n_{m}\choose k_{m}}=252\times 3003=756756[/tex]
Thus, the total number of ways the researcher can select 5 women and 5 men for a study is 7,56,756.
Single discount rate equavalent to a series of discounts 20% and 25% is
Answer:
The single discount rate equavalent is a discount of 40%.
Step-by-step explanation:
The multiplier for a increase of a% is 1 + a/100.
The multiplier for a decrease of b% is 1 - b/100.
Discount of 20%:
20% decrease:
1 - (20/100) = 1 - 0.2 = 0.8
Discount of 25%:
1 - (25/100) = 1 - 0.25 = 0.75
Series of discounts(20% and 25%):
0.8*0.75 = 0.6
1 - 0.6 = 0.4
The single discount rate equavalent is a discount of 40%.
The function g(x) is a transformation of the parent function f(x). Decide how f(x) was transformed to make (gx). Table f(x) x= -2, -1, 2, 3, 4 y= 1/9, 1/3, 9, 27, 81 Table g(x) x= -2, -1, 2, 3, 4 y= -17/9, -5/3, 7, 25, 79
I need answers this in 5min pls help!!
Answer:
f(x) translate 2 units down to get the function g(x).
Step-by-step explanation:
From the given tables it is clear that the x-values for both tables are -2,-1,2,3,4.
Difference between y-values of both functions are:
[tex]\dfrac{-17}{9}-\dfrac{1}{9}=-2[/tex]
[tex]\dfrac{-5}{3}-\dfrac{1}{3}=-2[/tex]
[tex]7-9=-2[/tex]
[tex]25-27=-2[/tex]
[tex]79-81=-2[/tex]
So, difference between y-values of both functions is constant, i.e., -2.
Now, we get
[tex]g(x)=f(x)-2[/tex]
It means function f(x) shifts 2 units down to get the function g(x).
Therefore, f(x) translate 2 units down to get the function g(x).
Answer: horizontal or vertical stretch
What is the measure of angle RST? Help!!
Answer:
62
Step-by-step explanation:
Angle Formed by Two Chords = 1/2(sum of Intercepted Arcs)
RST = 1/2 ( 47+77)
= 1/2 (124)
= 62
A company has net income of $940,000; its weighted-average common shares outstanding are 188,000. Its dividend per share is $0.85, its market price per share is $96, and its book value per share is $88.00. Its price-earnings ratio equals?
Answer:
19.2
Step-by-step explanation:
Net income $940,000
No of shares outstanding $188,000
Earning per share = Net income / no of shares outstanding
Earning per share = 940,000 / 188,000
Earning per share = 5
Market price per share = 96
Price earning ratio = Market price / Earning per share
Price earning ratio = 96 / 5
Price earning ratio = 19.2
Hui recorded the temperature at the same time each day for one month.
He found that the MAD for his data set was 4.3. What does this information tell you about the temperatures that Hui recorded?
Choose True or False for each statement.
The lowest temperature varied only 4.3 degrees from the mean temperature.
True/false
On most days the temperature varied about 4.3 degrees from the mean temperature.
Choose...
No temperature varied more than 4.3 degrees from the mean temperature.
Choose...
The highest temperature varied about 4.3 degrees from the lowest temperature.
Choose...
Answer:
The only true statement is statement 2.
On most days the temperature varied about 4.3 degrees from the mean temperature.
Step-by-step explanation:
The MAD is known as the Mean Absolute Deviation for any given dataset.
The absolute deviation is a measure of dispersion which quantifies the spread of the variables in the dataset from the mean.
It gives the only the positive value of the deviations of each variable from the mean.
The mean absolute deviation now signifies the average of the sum of all of these positive deviations of each variable from the mean.
Hence, the MAD value only gives how much the variables will varubfrom the mean on average.
Looking at the statements, it is evident that the MAD temperature value of 4.3 doesn't directly give the maximum or minimum variation from the mean temperature or the highest variation from the mean, rather it does show that 'On most days the temperature varied about 4.3 degrees from the mean temperature'.
Hope this Helps!!!
Answer:
a c e
Step-by-step explanation:
P = {4,5,8, 11, 13) and
Q = {11, 12, 13, 15, 17, 19).
a An element is selected at random from P.
What is the probability that it is odd?
Answer:
60%
Step-by-step explanation:
3 of the 5 elements in P are odd (5, 11, & 13), so the probability is 3/5 or 60% or 0.6. (Depending on the format your teacher wants it in).
Seventy-five cars sit on a parking lot. Thirty have stereo systems, 30 have air conditioners and 40 have sun roofs. Thirty of the cars have at least two of these three options, and 15 have all three.
Required:
a. How many cars on the lot have at least one of the three options?
b. How many have exactly one?
Answer:
a. 55 cars
b. 25 cars
Step-by-step explanation:
Let's call the number of cars with stereo systems N(ss), with air conditioners N(ac) and with sun roofs N(sr).
So we have that:
N(ss) = 30
N(ac) = 30
N(sr) = 40
N(ss and ac and sr) = 15
N(at least two) = 30
a.
To find how many cars have at least one option (N(at least one) or N(ss or ac or sr)), we have:
N(ss or ac or sr) = N(ss) + N(ac) + N(sr) - N(ss and ac) - N(ss and sr) - N(ac and sr) + N(ss and ac and sr)
N(ss or ac or sr) = 30 + 30 + 40 - (N(at least two) + 2*N(ss and ac and sr)) + 15
N(ss or ac or sr) = 30 + 30 + 40 - (30 + 2*15) + 15 = 55
b.
The number of cars that have only one option is:
N(only one) = N(at least one) - N(at least two)
N(only one) = 55 - 30 = 25
Which rates are equal? Choose 2.
A. $1,200 per 48 hours
B. $500 per 50 hours
c. $750 per 25 hours
D. $1,500 per 150 hours
E. $800 per 40 hours
Answer:
B, D
Step-by-step explanation:
In dollars per hour, the rates are ...
A. $1200/(48 h) = $25/h
B. $500/(50 h) = $10/h
C. $750/(25 h) = $30/h
D. $1500/(150 h) = $10/h . . . . matches B
E. $800/(40 h) = $20/h
Choices B and D are the same, at $10/hour.
Solve the system by the method of substitution.
1.5x + 0.8y = 2.3
0.3x − 0.2y = 0.1
Answer:
[tex]\boxed{\sf \ \ \ x = 1 \ \ , \ \ y = 1 \ \ \ }[/tex]
Step-by-step explanation:
hello
we can multiply by 10 both parts of the equations so this is equivalent to
(1) 15x + 8y = 23
(2) 3x - 2y = 1
and we are asked to use the method of substitution
from (2) we can write 3x = 2y + 1
and we substitute 3x in (1) as 15x = 5*3x it comes
5*(2y+1) + 8y = 23
<=> 10y + 5 + 8y = 23
<=> 18y + 5 = 23 let's subtract 5
<=> 18y = 23 - 5 = 18 let's divide by 18
<=> y = 1
and finally replace y in 3x = 2y + 1
3x = 2*1 + 1 = 3 <=> x = 1 (divide by 3)
so the solution is x = 1, y = 1
hope this helps
Answer:
(1,1)
Step-by-step explanation:
1.5x + 0.8y = 2.3
0.3x − 0.2y = 0.1
I'm going to multiply both of these equations by 10, so we can work with whole numbers.
15x+8y=23
3x-2y=1
We can simplify one of the equations to isolate a variable.
I'm going to isolate y in equation 2.
3x-2y=1
Subtract 3x from both sides.
-2y=-3x+1
Divide both sides by -2.
y=1.5x-0.5
Plug 1.5x-0.5 into the first equation for y.
15x+8(1.5x-0.5)=23
Distribute.
15x+12x-4=23
Combine like terms.
27x-4=23
Add 4 to both sides.
27x=27
Divide both sides by 27.
x=1
Plug that back into original equation to find y.
15(1)+8y=23
15+8y=23
Subtract 15 from both sides.
8y=8
Divide both sides by 8.
y=1
The solution to the system is (1,1).
The Mehta family's living room is shown in the scale drawing. Mrs. Mehta wants to carpet the room.
Which of the following could you use to find the
area?
This is a Multiple Response question. There is more than one correct answer. Choose all correct answers (and no incorrect answers) to receive
credit.
Answer:
Step-by-step explanation:
the second and last oneThe data represents the number of minutes dan spent on his homework each night 30, 35, 35, 45, 46, 52, 55, 57. Which box plot correctly represents the data
Answer:
Option C
Step-by-step explanation:
The datasets is incomplete. Here is the correct question.
The data represents the number of minutes dan spent on his homework each night 30, 35, 35, 45, 46, 46 52, 55, 57. Which box plot correctly represents the data
The question lacks the required option. Find the options in the diagram below:
To get the correct box plot to represent the data, we need to calculate the lower quartile, median and the upper quartile of the data.
Since our data is already in increasing order of magnitude we can go ahead and calculate this parameters.
To get the lower quartile, we will find Q1 first.
Q1 = N+1/4 th value.
This means we have to locate the N+1/4 the value.
N is the total number present in the dataset = 9
Q1 = 9+1/4 = 10/4
Q1 = 2.5th value
This equivalent is the third value in the dataset.
Hence, our lower quartile is 35
Median is the middle value after rearrangement.
Based on the datasets, the value at the middle is 46 by inspection.
For the upper quartile Q3,
Q3 = 3(N+1)/4 th value
Q3 = 3(9+1)/4
Q3 = 30/4
Q3 = 7.5th value
The upper quartile is the 8th value in the dataset i.e 55
Based on the box plots, the only box that correctly plots this values [35, 46 and 55] is the third option.
Answer:
A
Step-by-step explanation:
edg2020
Finding missing angles
Hope you understand :)
Answer:
x°=55°
Step-by-step explanation:
90°=35°+x°
90°-35°=x°
55°=x°
therefore, x°=55°
I need help plz someone help me solved this problem I need help ASAP! I will mark you as brainiest!
Step-by-step explanation:
P= R - C = -0,5x^2 + 70x -2100= 300
P=-0,5x^2 +70x -2400=-0,5(x^2 -140x +4800)=-0,5(x^2- 80x -60x +4800)=-0,5(x-60)(x-80)=0
so x =60 or x=80
Answer:
Total cost is 123 items selled
In the past, 75% of the tourists who visited Chattanooga went to see Rock City. The management of Rock City recently undertook an extensive promotional campaign. They are interested in determining whether the promotional campaign actually INCREASED the proportion of tourists visiting Rock City. The correct set of hypotheses is _____.
Answer:
The correct set of hypotheses is:
[tex]H_0: \pi=0.75\\\\H_a:\pi>0.75[/tex]
Step-by-step explanation:
This should be researched with a hypothesis test on the proportion of tourists visiting Rock City.
The claim that want to be tested is if the proportion has increased from the past proportion (π=0.75).
Then, the alternative hypothesis will state that the proportion is significantly higher than 0.75.
On the contrary, the alternative hypothesis will state that the proportion is not significantly different than 0.75.
This can be written as:
[tex]H_0: \pi=0.75\\\\H_a:\pi>0.75[/tex]
The angle that is a
corresponding
angle with angle 1
is angle [?]
Answer:
2
Step-by-step explanation:
A corresponding angle is in the same position on another parallel line
1 and 2 are both above the parallel line and to the left of the transversal
1 and 2 are corresponding angles
Answer: Angle 2
Step-by-step explanation:
Corresponding Angles are angles that take up the same spot at independent vertices, with the same transversal. Both angle 1 and 2 are the top left angles of their vertex.
Hope it helps <3
How large a sample should be selected to provide a 95% confidence interval with a margin of error of 4? Assume that the population standard deviation is 40. Round your answer to next whole number.
Answer:
The large sample size 'n' = 384.16
Step-by-step explanation:
Explanation:-
Given Margin of error = 4
Given Population standard deviation(σ) = 40
The margin of error is determined by
[tex]M.E = Z_{0.05} \frac{S.D}{\sqrt{n} }[/tex]
[tex]4 = 1.96 \frac{40}{\sqrt{n} }[/tex]
Cross multiplication , we get
[tex]\sqrt{n} = \frac{40 X 1.96}{4}[/tex]
√ n = 19.6
squaring on both sides , we get
n = 384.16
Final answer:-
The large sample size 'n' = 384.16
Add. Answer as a fraction. Do not include spaces in your answer. Do not include spaces in your answer.
Answer: 49/9
Step-by-step explanation: 42/9 + 7/9 = 49/9
Make first fraction into improper fraction with the same common dominator as 7/9 and add them both
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Answer:
49/9
Step-by-step explanation:
How many different 7-digit PIN codes using only the digits 0-9 are possible?
If digits can repeat and it can start with zero than there are 10 options for every digit so the answer is 10**7, or 10000000.
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Number of 7-digit PIN codes using only the digits 0-9 are possible is 9000000.
We need to find the how many different 7-digit PIN codes using only the digits 0-9 are possible.
What is combination formula?Combinations are selections made by taking some or all of a number of objects, irrespective of their arrangements.
First digit: 1,2,3,4,5,6,7,8,9 (cannot be 0 else it will be a 6-digit number) (9 choices)
2nd digit: 0,1,2,3,4,5,6,7,8,9 (10 choices)
As we go on, we realise that from the 2nd to 7th digit, we have 10 options (0,1,2,3,4,5,6,7,8,9)
Number of ways to get 7-digit numbers using 0-9 would be 9×10×10×10×10×10×10=9000000.
Therefore, number of 7-digit PIN codes using only the digits 0-9 are possible is 9000000.
To learn more about the permutation and combination visit:
https://brainly.com/question/28065038.
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