Answer:
There is enough evidence to support the claim that students in the California state university system take significantly longer to graduate than students enrolled in private universities (P-value = 0.0007).
Step-by-step explanation:
This is a hypothesis test for the difference between populations means.
The claim is that students in the California state university system take significantly longer to graduate than students enrolled in private universities.
Then, the null and alternative hypothesis are:
[tex]H_0: \mu_1-\mu_2=0\\\\H_a:\mu_1-\mu_2> 0[/tex]
The significance level is α=0.05.
The sample standard deviation is take into account and performed a two sample t-test. The 100 students are considered to be divided equally between state and private.
The sample 1 (state), of size n1=50 has a mean of 4.5 and a standard deviation of 0.8.
The sample 2 (private), of size n2=50 has a mean of 4.1 and a standard deviation of 0.3.
The difference between sample means is Md=0.4.
[tex]M_d=M_1-M_2=4.5-4.1=0.4[/tex]
The estimated standard error of the difference between means is computed using the formula:
[tex]s_{M_d}=\sqrt{\dfrac{\sigma_1^2+\sigma_2^2}{n}}=\sqrt{\dfrac{0.8^2+0.3^2}{50}}\\\\\\s_{M_d}=\sqrt{\dfrac{0.73}{50}}=\sqrt{0.015}=0.121[/tex]
Then, we can calculate the t-statistic as:
[tex]t=\dfrac{M_d-(\mu_1-\mu_2)}{s_{M_d}}=\dfrac{0.4-0}{0.121}=\dfrac{0.4}{0.121}=3.3104[/tex]
The degrees of freedom for this test are:
[tex]df=n_1+n_2-1=50+50-2=98[/tex]
This test is a right-tailed test, with 98 degrees of freedom and t=3.3104, so the P-value for this test is calculated as (using a t-table):
[tex]\text{P-value}=P(t>3.3104)=0.0007[/tex]
As the P-value (0.0007) 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 students in the California state university system take significantly longer to graduate than students enrolled in private universities.
Find two consecutive even integers whose sum is -50. Which of the following equations could be used to solve the problem? A) 2 x + 2 = -50 B) 2 x = -50 C) 2 x + 1 = -50 D) x^2 + 1= -50
Answer:
[tex]2x+2=-50[/tex]
Step-by-step explanation:
[tex]x+2=y\\x+y=-50\\x+x+2=-50\\2x+2=-50[/tex]
The equation that can be used to find out [tex]x[/tex] and [tex]y[/tex] is [tex]2x+2=-50[/tex]
Answer:
[tex]\mathrm{A}[/tex]
Step-by-step explanation:
Two consecutive even integers.
The first integer is even and can be as [tex]x[/tex]
The second integer is also even and can be as [tex]x+2[/tex]
Their sum is [tex]-50[/tex]
[tex]x+x+2=-50[/tex]
[tex]2x+2=-50[/tex]
Pleassseee hhheeelllppp
Answer/Step-by-step explanation:
When solving problems like this, remember the following:
1. + × + = +
2. + × - = -
3. - × + = -
4. - × - = +
Let's solve:
a. (-4) + (+10) + (+4) + (-2)
Open the bracket
- 4 + 10 + 4 - 2
= - 4 - 2 + 10 + 4
= - 6 + 14 = 8
b. (+5) + (-8) + (+3) + (-7)
= + 5 - 8 + 3 - 7
= 5 + 3 - 8 - 7
= 8 - 15
= - 7
c. (-19) + (+14) + (+21) + (-23)
= - 19 + 14 + 21 - 23
= - 19 - 23 + 14 + 21
= - 42 + 35
= - 7
d. (+5) - (-10) - (+4)
= + 5 + 10 - 4
= 15 - 4 = 11
e. (-3) - (-3) - (-3)
= - 3 + 3 + 3
= - 3 + 9
= 6
f. (+26) - (-32) - (+15) - (-8)
= 26 + 32 - 15 + 8
= 26 + 32 + 8 - 15
= 66 - 15
= 51
log 3=.4771 log 5=.6990 find the value of log 150
Answer:
2.17609
Step-by-step explanation:
Easiest and fastest way is to just directly plug log base 10 of 150 into the calc, as it is a nasty decimal.
HELP ME PWEASEE
Fifteen grams of chemical A is used to produce 3 grams of chemical B. Write an
equation for the amount of chemical B, measured in grams of chemical A, b = f(a), as a function of the amount of chemical, a.
Answer:
[tex]b=\dfrac{1}{5}a[/tex].
Step-by-step explanation:
We need to write an equation for the amount of chemical B as a function of the amount of chemical A.
[tex]b=f(a)[/tex]
[tex]b\propto a[/tex]
[tex]b=ka[/tex] ...(1)
where, k is constant of proportionality.
It is given that fifteen grams of chemical A is used to produce 3 grams of chemical B. It means a=15 and b=3.
Substitute a=15 and b=3 in (1).
[tex]3=k(15)[/tex]
[tex]k=\dfrac{3}{15}=\dfrac{1}{5}[/tex]
Substitute [tex]k=\dfrac{1}{5}[/tex] in (1).
[tex]b=\dfrac{1}{5}a[/tex]
Therefore, the required function is [tex]b=\dfrac{1}{5}a[/tex].
The height of the triangle is 10 cm. It is decreased by 25%. Calculate the new height.
Decreased height = 10 x [tex]\frac{100 - 25}{100}[/tex]
= 10 x [tex]\frac{75}{100}[/tex]
= [tex]\frac{750}{100}[/tex]
= 7.5 cm
Answer:
7.5 cm
Step-by-step explanation:
Decreased height = 25% of 10
[tex]=\frac{25}{100}*10\\\\=0.25*10\\=2.5[/tex]
New height = 10 - 2.5 = 7.5 cm
The scores on the Wechsler Adult Intelligence Scale are approximately Normal with \muμ = 100 and \sigmaσ = 15. If you scored 130, your score would be higher than approximately what percent of adults?
Answer:
Your score would be higher than 97.72% of adults, that is, higher than approximately 98% of adults.
Step-by-step explanation:
When the distribution is normal, we use the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
In this question, we have that:
[tex]\mu = 100, \sigma = 15[/tex]
If you scored 130, your score would be higher than approximately what percent of adults?
To find the proportion of scores that are lower than, we find the pvalue of Z when X = 130. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{130 - 100}{15}[/tex]
[tex]Z = 2[/tex]
[tex]Z = 2[/tex] has a pvalue of 0.9772
0.9772*100 = 97.72%.
Your score would be higher than 97.72% of adults, that is, higher than approximately 98% of adults.
Write 7^4 as a multiplication expression
Answer:
Exponents are simply repeated multiplication so the answer is 7 * 7 * 7 * 7.
100 pts. This is an assignment because multiple people asked this question. Find the sum of the digits of the number 6+66+666+6666 + ... +666...66, where the last number contains 100 digits.
The answer is attached.
Answer:
(20/27)(10^100 - 1) -200/3
In the multiplication sentence below, which numbers are the factors? Check
all that apply.
10 x 8 = 80
A. 80
B. 8.
I C. 10
Answer:
10 and 8
Step-by-step explanation:
10 and 8 are the factors in this equation because factors are the numbers that are mutiplied together to get the product (The answer to a mutiplication problem) Therefore the factors in this equation are 10 and 8 because those are the numbers that are mutiplied together to get the product.
Expand 2x(5x-2)
Help please ?
Answer: 10x^2 - 4x
Step-by-step explanation:
To expand, you are not simplifying, so multiplying out is the answer here. To do this, use the distributive property. The distributive property in this case means that if you are multiplying one number by a whole expression inside parenthesis, multiply the one number by each term in the expression:
2x(5x - 2)
= 2x(5x) + 2x(-2)
= 10x^2 - 4x
The product of the expression is equivalent to -
10x² - 4x.
What is expression?In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.Mathematical symbols can designate numbers (constants), variables, operations, functions, brackets, punctuation, and grouping to help determine order of operations and other aspects of logical syntax.Given is the expression as follows -
2x(5x - 2)
The given expression is -
2x(5x - 2)
10x² - 4x
Therefore, the product of the expression is equivalent to -
10x² - 4x.
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Luke and skylar work at furniture store. Luke is paid $180 per week plus 5% of his total sales in dollars ,x,which can be represented by g(x)=180+0.05x. Skylar is paid $104 per week plus 7% of her total sales in dollars which can be represented by f(x)=104+0.07x. Determine the value of x in dollars that will make their weekly pay the same
Answer:
The total sales in dollars to make their pay equal is: $ 3800
Step-by-step explanation:
Since we need to find the number of sales that make both function equal in value, we equal both expressions, and solve for 'x":
[tex]180+0.05 \,x=104+0.07 \,x\\180-104=0.07\,x-0.05\,x\\76=0.02x\\x=\frac{76}{0.02} \\x=3800[/tex]
A jar of marbles contains the following: two purple marbles, four white marbles, three blue marbles, and two green marbles. What is the probability of selecting a white marble from a jar of marbles?
Answer:
4/11
Step-by-step explanation:
Total number of marbles = 2(purple) + 4(white) + 3(blue) + 2(green)
= 11
Number of white marbles = 4
Probability of selecting a white marble =
number of white marbles/total number of marbles in the jar
= 4/11
The probability of selecting a white marble from a jar of marbles is 4/11.
What is Probability?Probability refers to potential. A random event's occurrence is the subject of this area of mathematics.
The range of the value is 0 to 1. Mathematics has incorporated probability to forecast the likelihood of various events.
The degree to which something is likely to happen is basically what probability means.
Given:
Purple Marbles = 2
White Marbles = 4
Blue Marbles = 3
Green Marbles = 2
Total marbles= 2+ 4+ 3+ 2= 11
So, the probability of selecting a white marble from a jar of marbles
= 4/11
Hence, the probability is 4/11.
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The time a student sleeps per night has a distribution with mean 6.3 hours and a standard deviation of 0.6 hours. Find the probability that average sleeping time for a randomly selected sample of 42 students is more than 6.5 hours per night. Answer: (round to 4 decimal places)
Answer:
0.0154 = 1.54% probability that average sleeping time for a randomly selected sample of 42 students is more than 6.5 hours per night.
Step-by-step explanation:
To solve this question, we need to understand the normal probability distribution and the central limit theorem.
Normal probability distribution
When the distribution is normal, we use the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
Central Limit Theorem
The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
In this question, we have that:
[tex]\mu = 6.3, \sigma = 0.6, n = 42, s = \frac{0.6}{\sqrt{42}} = 0.0926[/tex]
Find the probability that average sleeping time for a randomly selected sample of 42 students is more than 6.5 hours per night.
This is 1 subtracted by the pvalue of Z when X = 6.5.
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
By the Central Limit Theorem
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{6.5 - 6.3}{0.0926}[/tex]
[tex]Z = 2.16[/tex]
[tex]Z = 2.16[/tex] has a pvalue of 0.9846
1 - 0.9846 = 0.0154
So
0.0154 = 1.54% probability that average sleeping time for a randomly selected sample of 42 students is more than 6.5 hours per night.
3z/10 - 4 = -6
someone help?
Answer:
[tex]z=-\frac{20}{3}[/tex]
Step-by-step explanation:
[tex]\frac{3z}{10}-4=-6\\\\\frac{3z}{10}-4+4=-6+4\\\\\frac{3z}{10}=-2\\\\\frac{10\cdot \:3z}{10}=10\left(-2\right)\\\\3z=-20\\\\\frac{3z}{3}=\frac{-20}{3}\\\\z=-\frac{20}{3}[/tex]
Best Regards!
Please answer this correctly
Description:
As we that that 3 of the students voted for counting .
4 Students voted for sorting
6 Students voted for shapes
7 Students voted for addition
Answer:
Counting - 3%
Sorting - 4%
Shapes- 6%
Addition- 7%
Please mark brainliest
Hope this helps.
Answer:
Counting: 15%
Sorting: 20%
Shapes: 30%
Addition: 35%
Step-by-step explanation:
Counting: [tex]\frac{3}{3+4+6+7} =\frac{3}{20} =\frac{15}{100} =[/tex] 15%
Sorting: [tex]\frac{4}{3+4+6+7} =\frac{4}{20} =\frac{20}{100} =[/tex] 20%
Shapes: [tex]\frac{6}{3+4+6+7} =\frac{6}{20} =\frac{30}{100} =[/tex] 30%
Addition: [tex]\frac{7}{3+4+6+7} =\frac{7}{20} =\frac{35}{100} =[/tex]35%
The waiting time in line at an ice cream shop has a uniform distribution between 3 and 14 minutes. What is the 75th percentile of this distribution? (Recall: The 75th percentile divides the distribution into 2 parts so that 75% of area is to the left of 75th percentile) _______ minutes Answer: (Round answer to two decimal places.)
Answer:
The 75th percentile of this distribution is 11 .25 minutes.
Step-by-step explanation:
The random variable X is defined as the waiting time in line at an ice cream shop.
The random variable X follows a Uniform distribution with parameters a = 3 minutes and b = 14 minutes.
The probability density function of X is:
[tex]f_{X}(x)=\frac{1}{b-a};\ a<X<b;\ a<b[/tex]
The pth percentile is a data value such that at least p% of the data-set is less than or equal to this data value and at least (100-p)% of the data-set are more than or equal to this data value.
Then the 75th percentile of this distribution is:
[tex]P (X < x) = 0.75[/tex]
[tex]\int\limits^{x}_{3} {\frac{1}{14-3}} \, dx=0.75\\\\ \frac{1}{11}\ \cdot\ \int\limits^{x}_{3} {1} \, dx=0.75\\\\\frac{x-3}{11}=0.75\\\\x-3=8.25\\\\x=11.25[/tex]
Thus, the 75th percentile of this distribution is 11 .25 minutes.
What type of angle is angle M?
c.
L
in
Practice
с
s in
- Space of
M
P.
nes and
O A. obtuse
and Proofs
O Bright
of
rap-Up
O C. acute
OD. straight
Answer:
B
Step-by-step explanation:
right
have a good day, hope this helps
Find one positive angle and one negative angle that is coterminal with the given angle of 300 degrees
Step-by-step explanation:
positive angle =300+180=480.
negative angle = 300 -180=120
Find the midpoint of the segment with the given endpoints.
(-8,9) and (- 5.8)
whats the midpoint
[tex]answer \\ = (6.5 \: 8.5) \\ please \: see \: the \: attached \: picture \: for \: full \: solution \\ hope \: it \: helps[/tex]
Nikki used the calculations shown to determine whether a carton of 12 eggs or a carton of 18 eggs was the better buy.
A carton of 12 eggs cost $2.39, and a carton of 18 eggs cost $3.39. Unit price of the 12-egg carton = ($2.39)(12 eggs) = $28.68 per egg Unit price of the 18-egg carton = ($3.39)(18 eggs) = $61.02 per egg The 12-egg carton has the lower unit cost, so it is the better buy.
What was her first error?
A. She should have divided the cost of the carton by the number of eggs to find the price per egg.
B. She should have divided the number of eggs by the cost of the carton to find the price per egg.
C. She made a computational error when multiplying to find the unit price of the two cartons.
D She made an error in choosing the eggs with the lower unit cost to be the better buy.
Answer:
A
Step-by-step explanation:
Her first error is,
C. She made a computational error when multiplying to find the unit price of the two cartons.
We have to given that,
Nikki used the calculations shown to determine whether a carton of 12 eggs or a carton of 18 eggs was the better buy.
Here, A carton of 12 eggs cost $2.39, and a carton of 18 eggs cost $3.39.
And, A carton of 12 eggs cost $2.39, and a carton of 18 eggs cost $3.39.
Unit price of the 12-egg carton = ($2.39)(12 eggs) = $28.68 per egg
Unit price of the 18-egg carton = ($3.39)(18 eggs) = $61.02 per egg
The 12-egg carton has the lower unit cost, so it is the better buy.
Here, It's first error is,
She made a computational error when multiplying to find the unit price of the two cartons.
Instead of dividing the cost of the 18-egg carton by the number of eggs, she multiplied the cost by 18, which resulted in an incorrect unit price.
Hence, It's first error is,
She made a computational error when multiplying to find the unit price of the two cartons.
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Please help mehhh please!!
Answer:
1
Step-by-step explanation:
The mean is the average of the sum of all integers in a data set.
Caroline has 2 pieces of cheese, Samuel has 4 pieces of cheese, Abby has 4 pieces of cheese, and Jason has 2 pieces of cheese
2 + 4 + 4 + 2 = 12
12 divides by 4, since there are 4 people, to equal the mean
12 / 4 = 3
Now since we have the mean, find the distance from the mean to each number
3 - 2 = 1
4 - 3 = 1
4 - 3 = 1
3 - 2 = 1
1 + 1 + 1 + 1 = 4
4 / 4 = 1
Lacey is thinking of a number. Her number is a factor of 30, and a composite number. Which of these could be Lacey's number?
30
8
5
15
Answer:
(A)30
(D)15
Step-by-step explanation:
Factors of 30 are 1,2,3,5,6,10,15 and 30
A composite number is any number that is not prime.
From the given options, the factors of 30 are 30, 5 and 15.
However, 5 is not a composite number.
Therefore, the number that Lacey could be thinking of will either be 30 or 15.
I need help please ASAPPP!
Answer:
16
Step-by-step explanation:
Please see attached photo for diagrammatic explanation.
Note: r is the radius
Using pythagoras theory, we can obtain the value of 'x' in the attached photo as shown:
|EB|= x
|FB| = 10
|EF| = 6
|EB|² = |FB|² – |EF|²
x² = 10² – 6²
x² = 100 – 36
x² = 64
Take the square root of both side.
x = √64
x = 8
Now, we can obtain line AB as follow:
|AB|= x + x
|AB|= 8 + 8
|AB|= 16
Therefore, line AB is 16
Joe wants to saw a wooden plank into 3/4 -meter pieces. The length of the wooden plank is 15/4meters. How many 3/4 -meter pieces can Joe saw from the wooden plank?
Answer:
3 wooden plank he can saw
Answer:
he can saw 3 wooden planks
Step-by-step explanation:
A portfolio has average return of 13.2 percent and standard deviation of returns of 18.9 percent. Assuming that the portfolioi's returns are normally distributed, what is the probability that the portfolio's return in any given year is between -43.5 percent and 32.1 percent?
A. 0.950
B. 0.835
C. 0.815
D. 0.970
Answer:
B. 0.835
Step-by-step explanation:
We can use the z-scores and the standard normal distribution to calculate this probability.
We have a normal distribution for the portfolio return, with mean 13.2 and standard deviation 18.9.
We have to calculate the probability that the portfolio's return in any given year is between -43.5 and 32.1.
Then, the z-scores for X=-43.5 and 32.1 are:
[tex]z_1=\dfrac{X_1-\mu}{\sigma}=\dfrac{(-43.5)-13.2}{18.9}=\dfrac{-56.7}{18.9}=-3\\\\\\z_2=\dfrac{X_2-\mu}{\sigma}=\dfrac{32.1-13.2}{18.9}=\dfrac{18.9}{18.9}=1\\\\\\[/tex]
Then, the probability that the portfolio's return in any given year is between -43.5 and 32.1 is:
[tex]P(-43.5<X<32.1)=P(z<1)-P(z<-3)\\\\P(-43.5<X<32.1)=0.841-0.001=0.840[/tex]
Which is the graph |3x-6|=21
Answer:
it should look like this
In a sample of 1200 U.S.​ adults, 191 dine out at a resaurant more than once per week. Two U.S. adults are selected at random from the population of all U.S. adults without replacement. Assuming the sample is representative of all U.S.​ adults, complete parts​ (a) through​ (d). ​Required:a. Find the probability that both adults dine out more than once per week. b. Find the probability that neither adult dines out more than once per week. c. Find the probability that at least one of the two adults dines out more than once per week. d. Which of the events can be considered unusual? Explain.
Answer:
a) The probability that both adults dine out more than once per week = 0.0253
b) The probability that neither adult dines out more than once per week = 0.7069
c) The probability that at least one of the two adults dines out more than once per week = 0.2931
d) Of the three events described, the event that can be considered unusual because of its low probability of occurring, 0.0253 (2.53%), is the event that the two randomly selected adults both dine out more than once per week.
Step-by-step explanation:
In a sample of 1200 U.S. adults, 191 dine out at a restaurant more than once per week.
Assuming this sample.is a random sample and is representative of the proportion of all U.S. adults, the probability of a randomly picked U.S. adult dining out at a restaurant more than once per week = (191/1200) = 0.1591666667 = 0.1592
Now, assuming this probability per person is independent of each other.
Two adults are picked at random from the entire population of U.S. adults, with no replacement, thereby making sure these two are picked at absolute random.
a) The probability that both adults dine out more than once per week.
Probability that adult A dines out more than once per week = P(A) = 0.1592
Probability that adult B dines out more than once per week = P(B) = 0.1592
Probability that adult A and adult B dine out more than once per week = P(A n B)
= P(A) × P(B) (since the probability for each person is independent of the other person)
= 0.1592 × 0.1592
= 0.02534464 = 0.0253 to 4 d.p.
b) The probability that neither adult dines out more than once per week.
Probability that adult A dines out more than once per week = P(A) = 0.1592
Probability that adult A does NOT dine out more than once per week = P(A') = 1 - P(A) = 1 - 0.1592 = 0.8408
Probability that adult B dines out more than once per week = P(B) = 0.1592
Probability that adult B does NOT dine out more than once per week = P(B') = 1 - P(B) = 1 - 0.1592 = 0.8408
Probability that neither adult dines out more than once per week = P(A' n B')
= P(A') × P(B')
= 0.8408 × 0.8408
= 0.70694464 = 0.7069 to 4 d.p.
c) The probability that at least one of the two adults dines out more than once per week.
Probability that adult A dines out more than once per week = P(A) = 0.1592
Probability that adult A does NOT dine out more than once per week = P(A') = 1 - P(A) = 1 - 0.1592 = 0.8408
Probability that adult B dines out more than once per week = P(B) = 0.1592
Probability that adult B does NOT dine out more than once per week = P(B') = 1 - P(B) = 1 - 0.1592 = 0.8408
The probability that at least one of the two adults dines out more than once per week
= P(A n B') + P(A' n B) + P(A n B)
= [P(A) × P(B')] + [P(A') × P(B)] + [P(A) × P(B)]
= (0.1592 × 0.8408) + (0.8408 × 0.1592) + (0.1592 × 0.1592)
= 0.13385536 + 0.13385536 + 0.02534464
= 0.29305536 = 0.2931 to 4 d.p.
d) Which of the events can be considered unusual? Explain.
The event that can be considered as unusual is the event that has very low probabilities of occurring, probabilities of values less than 5% (0.05).
And of the three events described, the event that can be considered unusual because of its low probability of occurring, 0.0253 (2.53%), is the event that the two randomly selected adults both dine out more than once per week.
Hope this Helps!!!
A graph has points (3, 9), (4, 13.5), and (5, 18). Given the graph of a linear function, identify the steps used to find the initial value. Check all that apply. Find the rate of change using rise over run. Find corresponding y values when x = 6, x = 7, and x = 8. Then plot the points to finish the line. Find corresponding y values when x = 2, x = 1, and x = 0. Then plot the points to finish the line. The initial value corresponds to the y value when x = 1. The initial value corresponds to the y value when x = 0.
Answer:
its A, C, E on edg
Step-by-step explanation:
Answer:
a c e
Step-by-step explanation:
what is the Y intercept of the quadratic function f(x)=(x-6)(x+3)
Answer:
(0,-24)Option C is the correct option.
Solution,
Given that,
[tex]f(x) = (x - 8)(x + 3)[/tex]
put f(x)=y
[tex]y(x - 8)(x + 3) - - > equation \: (i)[/tex]
For finding y- intercept
put x=0
We get,
[tex]y = (0 - 8)(0 + 3) - - > from \: {eq}^{n} \: (i)[/tex]
[tex]y = ( - 8) \times 3 \\ y = - 24 \\ y - intercept = (0 ,- 24)[/tex]
hope this helps...
Good luck on your assignment..
A courier service claims that 5% of all of its deliveries arrive late. Assuming the claim is true and deliveries are independent, a sample of 10 deliveries is randomly selected. What is the probability that more than 2 of the sample deliveries arrive late
Answer:
The probability that more than 2 of the sample deliveries arrive late = 0.0115
Step-by-step explanation:
This is a binomial distribution problem
A binomial experiment is one in which the probability of success doesn't change with every run or number of trials.
It usually consists of a fixed number of runs/trials with only two possible outcomes, a success or a failure. The outcome of each trial/run of a binomial experiment is independent of one another.
The probability of each delivery arriving late = 5% = 0.05
- Each delivery is independent from the other.
- There is a fixed number of deliveries to investigate.
- Each delivery has only two possible outcomes, a success or a failure of arriving late.
Binomial distribution function is represented by
P(X = x) = ⁿCₓ pˣ qⁿ⁻ˣ
n = total number of sample spaces = number of deliveries we're considering = 10
x = Number of successes required = number of deliveries that we expect to arrive late = more than 2 = > 2
p = probability of success = probability of a delivery arriving late = 0.05
q = probability of failure = probability of a delivery NOT arriving late = 0.95
P(X > 2) = 1 - P(X ≤ 2)
P(X ≤ 2) = P(X = 0) + P(X = 1) + P(X = 2)
= 0.59873693924 + 0.31512470486 + 0.07463479852
= 0.98849644262
P(X > 2) = 1 - P(X ≤ 2)
= 1 - 0.98849644262
= 0.01150355738
= 0.0115
Hope this Helps!!!