Answer:
C. 3a + 2
Step-by-step explanation:
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5. [Statistical independence] Consider a month consisting of exactly 28 days, split into four weeks of seven days each, such that the first of the month is a Monday. One of the 28 days will be selected uniformly at random (so that each day has probability 1/28 of being selected). Event A is that the selected day is a Monday or Wednesday. Event B is that the selected day falls either in the first or third weeks of the month. Are A and B independent or not? Show your work.
Answer:
They are independent events
Step-by-step explanation:
For independent events;
Pr(A & B) = Pr(A) × Pr(B)
Given that:
A = day is Monday or Wednesday
Since we have four weeks and each week will have one Monday and Wednesday each,
Pr(A) = (8/28)
B = day falls in the first or third week
Since, first and the third week has a total of 14 days,
Pr(B) = 14/28
Therefore;
Pr(A) × Pr(B) = 8/28 * 14/28
Pr(A) × Pr(B) = 1/7
Now, A and B = day is either Monday or Wednesday, and it is in the first or third week
There are four such days, Thus Pr(A and B) = 4/28 = 1/7
Since, Pr(A and B) = Pr(A) * Pr(B),
A and B are independent events
The lengths of the sides of a triangle are 15 cm, 20 cm, and 30 cm. What are the sides of the lengths of a similar triangle tat has a perimeter of 26 cm?
Answer:
6 cm, 8 cm, 12cm
Step-by-step explanation:
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Simplify the Expression:
[tex]\sqrt{9a^{2} }[/tex], if a<0
[tex]\sqrt{9a^{2}}=\sqrt{9}\sqrt{a^{2}}=3|a|[/tex]
As [tex]a < 0[/tex], [tex]|a|=-a[/tex], so [tex]3|a|=\boxed{-3a}[/tex]
Does this matrix have an inverse?why or why not ?
Answer:
C. No, because it's determinant is zero
Step-by-step explanation:
[tex]A= \begin{bmatrix} 16 & - 4\\\\ 8 & - 2\end{bmatrix} [/tex]
[tex] det(A) =\begin{vmatrix} 16 & - 4\\\\ 8 & - 2\end{vmatrix} [/tex]
[tex] det(A) = 16\times (-2)-(-4)\times 8[/tex]
[tex] det(A) = -32+32[/tex]
[tex] det(A) = 0[/tex]
This matrix have no inverse, because it's determinant is zero.
It is given a 2*2 matrix of order 2.
To find this matrix have an inverse or not.
What is determinant?
A quantity obtained by the addition of products of the elements of a square matrix according to a given rule.
The given matrix is
A= [tex]\left[\begin{array}{ccc}16&-4\\8&-2\\\end{array}\right][/tex]
det A=16*(-2)-(-4)*8=0
det A=0
So, this matrix have no inverse, because it's determinant is zero.
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Write the fraction as a decimal
4 -8
11
4 , and 8 over 11
Answer: 52
Step-by-step explanation:
11×4=44+8=52
Answer:
I'm pretty sure its 4.727
Patricia added 1 1/4 of salsa to a pot of her homemade chili. With the salsa the pot held 2 1/2 quarts of chili how many cups of salsa are in on quart of chili
A 1/2
B 2
C 5/8
D 1 & 1/4
A mercury thermometer records a temperature of 10°F at 9 a.m. If the temperature drops by 3°F every hour, what will be the temperature by 2 p.m.?
Answer:
No
Step-by-step explanation:
16 liters to quarts (dry measure)
Answer:
16 litres =14.53 US qt dryStep-by-step explanation:
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Step 3: Applying linear functions
Grace and Claire’s parents are saving money now for their college education. Function 1 shows the growth of baby Grace’s college fund over time. Function 2 shows growth of baby Claire’s college fund over time.
a) If Grace and Claire’s parents each invested $7,600 into a college saving account when the girls were born, how much money will each girl have for college when she turns 18? Explain. (2 points)
b) Do the functions show a positive or negative correlation between time and the amount of money saved? Explain. (1 point)
Answer:
For A
For grace the x would be the number 18
y = 1000 (18) + 7600
y= 18000 = 7600
and that would mean y = 25600
Now for Claire you have to use the method rise over run
The equation for claire is y=800x + 7600
11600-10000/3=800
---------------------------------------
y= 800(18) + 7600
y= 14,400 + 7600
y= 22,000
This shows that Claire would have $22,000 when shes 18 and Grace would have $25,600 when she is 18.
4 1/3 Divided by 1/2
Which set of ordered pairs does not represent a function? O {(-3,-9), (7,9), (9, 1), (7,3)} O {(-3,8),(-6,5), (-5, -6), (1,-6)} O {(3,1),(-2,-9), (6,-9),(4,6)} o {(4,3), (-4,4),(-2,-5), (6,4)}
Answer:
The first set of ordered pairs is not a function.
Step-by-step explanation:
The X value of 7 repeats, which means that it is not a function
15 people are expected for a dinner. Three ounces of corn serves one person. A can of corn is nine ounces. How many cans of corn should be bought for the dinner?
Answer:
5 cans need to be bought
Step-by-step explanation:
In each can, 3 people can be served. 3 × 5= 15
How many Rubles are 40 cents? I will give Brainliest to the correct answer
Answer:
30.34
Step-by-step explanation:
Answer:
40 cents = 30.34 rubles
Step-by-step explanation:
1 us $ is 75.86 RUB ₽
0.40 * 75.86 = 30.34
For the right triangle shown, which equation is correct?
1. all answers are correct
2. cos(53) = x/16
3. cos(53) = sin(37)
4. sin(37) = 16/x
Answer:
3.37
Step-by-step explanation:
x+37+16+90=180
x+143=180
×=180-143
x = 37
EMERGENCY PLEASE HELP! Which set of ordered pairs does not represent a function?
A. {(1,2), (7,8)}
B. {(-4,4),(-2,2),(-1, 1)}
C. {(1,1),(1,2)
D. {(-5,-4),(3,6)}
E. {(0,1),(1, 1), (2, 1)}
Answer:
c.
Step-by-step explanation:
The X value 1 is repeated
The administrators at the University of Oklahoma wonder if Oklahoma residents or non-Oklahoma residents differ in their excitement to go home for the holidays following final exams. They randomly select 100 Oklahoma residents and 100 non-Oklahoma residents for their study. They then ask all participants to rate their excitement level on a scale of 1-10. The mean excitement level for Oklahoma residents was 7.745, while the mean excitement level for non-Oklahoma residents was 7. They create the following 95% confidence interval for the mean difference: -1.78 to 3.27. Which of the following is the best way to interpret their results based on their confidence interval?
a. The administrators are 95% confident that Oklahoma residents are significantly more excited than non-Oklahoma residents to go home for the holidays.
b. The administrators are 95% confident that Oklahoma residents are significantly less excited than non-Oklahoma residents to go home for the holidays.
c. The administrators are 95% confident that Oklahoma residents significantly differ from non-Oklahoma residents in their excitement to go home for the holidays because their interval covers 0.
d. The administrators are unable to tell if there is a true difference between Oklahoma and non-Oklahoma residents in their excitement to go home for the holidays because their interval covers 0.
Answer:
d. The administrators are unable to tell if there is a true difference between Oklahoma and non-Oklahoma residents in their excitement to go home for the holidays because their interval covers 0.
Step-by-step explanation:
The confidence interval refers to a rabje of statistically calculated values used in establishing a certain level of confidence in the outcome of a data.
The confidence interval is calculated thus :
Mean ± (Zcritical * Error)
The ± sign ensures we have the lower and upper boundary of our confidence level.
From the confidence level given in the question : -1.78 to 3.27
Since 0 is contained in the confidence interval range given, then it can be concluded that the difference in excitement between Oklahoma and non oklahoma residents cannot be adequately established.
Select all the expressions that are equivalent to 9 + 7x – 3y.
Answer:
9 – (–7)x – 3y
Step-by-step explanation:
because - * - = +
so 9 – (–7)x – 3y = 9+7x -3y
Will give brainliest
Answer:
B
Step-by-step explanation:
I just know it.
A function f is onto if and only if, each element in the codomain of f is the image of at _____ one element in the domain of f
Answer:
A function f is onto if and only if, each element in the codomain of f is the image of at least one element in the domain of f.
Step-by-step explanation:
A function f is onto if and only if, each element in the codomain of f is the image of at least one element in the domain of f.
Let us consider a function f which maps the elements of X to each element in the domain of f, such that
f(1) = D
f(2) = B
f(3) = C
f(4) = C
From here, we can determine the domain and range, so
Domain X of f = {1, 2, 3, 4}
Domain Y of f = {D, B, C}
Therefore, it is clear that every element in the codomain of f is the image of at least one element in the domain of f.
find 59.2% of 250...................................
Answer:
148
Step-by-step explanation:
just searched it up good luck sorry if its wrong
estimate the quotients 123.8 divide by 62=
Answer:
Step-by-step explanation:
What is a unit rate? *
items of different measures being compared
a ratio in which the second value is one
a comparison of two quantities by division
0 This is a required question
Answer:
a ratio in which the second value is one
Step-by-step explanation:
Hope this helps!
Answer: How much of something per 1 unit of something else. Examples: • 100 cars pass by in 2 hours. The unit rate is 50 cars per hour. • You can paint 3 boards in half an hour. The unit rate is 6 boards per hour. • 200 sausages were eaten by 50 people. The unit rate is 4 sausages per person. • They need 5 m of thread to make 2 cm of cloth.
Step-by-step explanation: Just wanted to give a example if that doesn't help go to google and watch a video or do some reading about it!
Picture below................................
Answer:0.02 aka 2%
Step-by-step explanation:
2%
Step-by-step explanation:use formula below :
S.I=P×R×T/100
Make the unknown variable subject of the formula
100×S.I/P×T=Rate (R)
R=Rate
S.I =Simple interest
P=principal
T=Time
100×8/200×2=800/400=2%
Problem: According www.textrequest, an American between 18-24 sends and receives about 128 text messages per day. Assume that the population standard deviation is 30 for this age group. To get an idea about the true population mean you take a survey of 100 adults in that age group and find that their average is 135. Create a 90% confidence interval for the population average for this age group.
Answer:
(130.08, 139.92)
Step-by-step explanation:
Given that:
Mean (m) = 135
Standard deviation (σ) = 30
Sample size (n) = 100
α = 90%
The confidence interval value is obtained using the relation:
Mean ± Zcritical * (standard deviation / sqrt(n))
Zcritical at 90% = 1.64
standard deviation / sqrt(n) = 30 / sqrt(100)
= 30 / 10 = 3
Hence,
135 ± 1.64 * (3)
Lower limit : 135 - (1.64 * 3) = 130.08
Upper limit : 135 + (1.64 * 3) = 139.92
Hence,
Confidence interval = (130.08, 139.92)
Aaliyah had some candy to give to her four children she first took 10 pieces of herself and then evenly divided the raise among her children each to receive two pieces with how many pieces did she start
Answer:
she started with 18
Step-by-step explanation:
2(4)+ 10= 18
What is 25% of 8. ??????????????????
Answer:
2
Step-by-step explanation:
1/4 of 8 = 25%
25% = 1/4
8 / 4 = 2
1
For every 2 teaspoons of white vinegar in a jar of homemade glue, there are 5 tablespoons of
cornstarch. How many teaspoons of white vinegar are there for every tablespoon of cornstarch?
A. 1
5
В.
C 1
D. 5
The number of teaspoons of white vinegar are there for every tablespoon of cornstarch is 0.4.
What is the unitary method?The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.
Given that, for every 2 teaspoons of white vinegar in a jar of homemade glue, there are 5 tablespoons of cornstarch.
The number of teaspoons of white vinegar are there for every tablespoon of cornstarch = 2/5
= 0.4
Therefore, the number of teaspoons of white vinegar are there for every tablespoon of cornstarch is 0.4.
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Find the quotient for 3/2 divided by 3/5
Answer:
2.5
Step-by-step explanation:
Answer:
5/2
Step-by-step explanation:
To divide fractions, you flip the second fractions and change it to multiplication.
(3/2) / (3/5) =
(3/2) x (5/3)
To multiply them, you just multiply their numerators together to get the new numerator and multiply the denominators together to get the new denominator.
(3/2) x (5/3) =
(3 x 5) / (2 x 3) =
15/6
This can be reduced to:
5/2
I need help finding witch one is right
Answer:
I believe it's B!
Step-by-step explanation:
y=mx+b
y intercept is b
slope is m
y intercept is positive 5
slope is down 2 to the right 3
y= -2/3x+5
Answer:
The answer is B.
Step-by-step explanation:
In a slope form equation, y = mx + b where m represents gradient and b is y-intecept. In the graph above, the line shows a negative gradient and the y-intercept is 5. So the possible option is B.
What is the perimeter of a rectangle with a height of 4 units and a length of 21 units?
A 75 units
B 44 units
С 25 units
D 50 units
Answer:
С 25 units
Step-by-step explanation:
hope this help
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Answer:D
Step-by-step explanation: