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
WILL MARK BRAINLEST
Examine the algebra tiles.
Which equation is being modeled?
4x + 3 = 4x + 5
–3x + (–3) = 4x + 5
4x + (–3) = 5x + 4
–3x + 4 = 5x + 4
Answer:
3rd one
Step-by-step explanation:
Answer:
4x + (–3) = 5x + 4
Step-by-step explanation:
right on edge
In a girl's bank, there is a collection of nickels, dimes, and quarters which amounts to $9.50. There are four times as many quarters as nickels, and 3 more dimes than nickels. How many coins of each kind are there?
Answer:
Step-by-step explanation:
Let the amount of nickels be x
Let the amount of dimes be y
Let the amount of quarters be z
If the total collection amounts to $9.50, then;
x+y+z = 9.50 ..... 1
If there are four times as many quarters as nickels, then;
z = 4x .... 2
Also if there are 3 more dimes than nickels then;
y = x+3 .... 3
Substitute 2 and 3 into 1;
x + x+3 + 4x = 9.50
6x = 9.50 -5
6x = 4.50
x = 4.50/6
x = $0.75
Since y = x +3
y = 0.75 + 3
y = $3.75
Also, z = 4x
z = 0.75(5)
z = $3.0
Hence there are
Suppose the national average dollar amount for an automobile insurance claim is $758.83. You work for an agency in Michigan and you are interested in whether or not the state average is less than the national average. The hypotheses for this scenario are as follows. Null Hypothesis: μ ≥ 758.83, Alternative Hypothesis: μ < 758.83. You take a random sample of claims and calculate a p-value of 0.0349 based on the data, what is the appropriate conclusion? Conclude at the 5% level of significance.
A. The true average claim amount is significantly higher than $758.83.
B. The true average claim amount is higher than or equal to $758.83.
C. We did not find enough evidence to say the true average claim amount is less than $758.83.
D. The true average claim amount is significantly different from $758.83.
E. The true average claim amount is significantly less than $758.83.
Answer:
The correct option is E
Step-by-step explanation:
From the question we are told that
The population mean is [tex]\mu = \$ 758.83[/tex]
The null hypothesis is [tex]H_o : \mu \ge 758.83[/tex]
The alternative hypothesis is [tex]H_a : \mu < 758.83[/tex]
The p-value is [tex]p-value = 0.0349[/tex]
The level of significance is [tex]\alpha = 0.05[/tex]
Generally from the value given we see that the p-value < [tex]\alpha[/tex] hence
The decision rule is
Reject the null hypothesis
The conclusion is
The true average claim amount is significantly less than $758.83.
Mark can type 20 words per minute. Carol can type 22 words per minute. Mark starts typing at 1:00 pm and Carol starts typing 6 minutes later. At 1:15 pm, both Mark and Carol stop typing. Together, how many words did Mark and Carol type between 1:00 and 1:15 pm?
Answer:
C. 498
Step-by-step explanation:
Total number of words typed by both Mark and Carol is 498.
Rate of typing by Mark = 20 word per minute
Rate of typing by Carol = 22 words per minute
Since, Mark starts typing at 1:00 pm and stop at 1:15 pm.
So, time taken by Mark is 15 minute.
number of words typed by Mark = [tex]20*15=300[/tex]
Since, Carol starts typing 6 min late , i.e. at 1:06 pm and stop at 1:15 pm.
So, time taken by Carol is 9 minute.
number of words typed by Carol =[tex]22*9=198[/tex]
Total number of words typed by both Mark and Carol = [tex]300+198=498[/tex] words.
Learn more:
https://brainly.com/question/23145277
a cube has edge length 3 in. What is its volume
Answer:
27 in3
Step-by-step explanation:
Answer:
56inches
Step-by-step explanation:
formula: Area x 6.
a cube has 6 sides. For 1 side, since the length is 3, we multiply by 3 to get the area to get 9. Thats only 1 side, so we multiply 9 by the 6 sides to get 56.
Help please.
Which of the following answers has simplified the following expression by combining like terms correctly? 6b - 2a + 9 - b + 5a Group of answer choices
A 7a + 7b + 9
B 3a + 5b + 9
C 17ab
D none of these answers are correct
Answer:
B is the correct answer
Step-by-step explanation:
You have to do 6b- 1b 5b
-2a+5a= 3a
9
Rebecca wants to buy a bracelet that is $69.99 but today she can buy it for 20% off the price. What is the amount she will save?
Answer:
$13.99
Step-by-step explanation:
20% of $69.99 is $13.998
We get this by taking 69.99 X .2 = 13.998
Technically she would save $14 if we rounded up. But most stores will round down in order to save more money.
Which number can be written on the line to make the inequality true?
3.91 less-than blank less-than 4.23 less-than 4.44
A number line going from 3.9 to 4.5 in increments of 0.1.
3.7... 3.9....4.1.... or 4.3 PLEASE HURRY JUST AWNSER
Answer:
3.91 < 4.1 < 4.23 < 4.44
Step-by-step explanation:
Answer:
c
Step-by-step explanation:
a) What are the coordinates of A?
b) What are the coordinates of B?
Answer:
A (-2.5, -1.5)
B (4.5, -3.5)
PLEASEE HELPPPppppppp
Answer:
The answer is C
Step-by-step explanation:
Answer:
Answer it yourself buddy (:
Step-by-step explanation:
The square below represents one whole.
Express the shaded area as a fraction, a decimal, and a percent of the whole.
Fraction:
Decimal:
Percent:
Answer:
Below.
Step-by-step explanation:
10 rectangles, 2 are shaded in.
Fraction: 1/5
Decimal: 0.2
Percent: 20%
Write an equation of the line below
Answer:
ok.
Step-by-step explanation:
y=-1/1x+4. hope this helped :))
Answer: y= -8/8x + 4
or y=-x+4
Step-by-step explanation:
rewrite using a single positive exponent 5^6/5^4
Answer:
5²Step-by-step explanation:
We can divide exponents by subtract 4 from 6. So, now we have 5^2 or 25.
The other way to solve to check our answer is to do the math.
5^6 = 15625
5^4 = 625
15625/625 = 25
So, we know we have the correct answer.
Simplify.
16wxy
72xy
Answer: 1152wx^2y^2
Step-by-step explanation:
Dad gave his son 60 euros to buy wallpaper. In the store, it turned out that the price for one roll wallpaper increased by 3 euros, and because of this, the son was able to buy 1 roll of wallpaper less than he needed. How many rolls of wallpaper could he buy and how much did one roll cost? Did he do the right thing to buy the wallpaper?
Answer:
$92.296
Step-by-step explanation:
no, he did not make the right decision that's $19.096 over the budget.
god loves you!!!!!!!!!
Answer:
He loves you too!!
Step-by-step explanation:
Given
f
(
x
)
=
−
x
−
3
f(x)=−x−3, solve for
x
x when
f
(
x
)
=
−
2
f(x)=−2.
Answer:
-5
Step-by-step explanation:
Substitute every part of the equation where x appears with the value of x, which is -2
f(-2)=-2-3
f(-2)=-5
So, f(x)=-5
Select the expression that represents the operations shown on the number line.
A 4n - n - 7n
B 8n - 2n - 14n
C 2n- în - 3žn
D 16 - 4n - 28n
Answer:
b
Step-by-step explanation:
The table below shows the cost of comic books.
Number of comic books, 3, 4, 7, 10, Total cost, in dollars, 3.75, 5, 8.75, 12.50.
Based on the information in the table, which is the best prediction of the cost of 12 comic books?
$12
$9.60
$15
$16.25
Deborah spent $70 on food and clothes she spent $26 more on clothes then on food Brighton solve a system of equations to find how much Debra spent on each
Answer:
Step-by-step explanation:
You know the total will be $70.
She bought food, let's call that "F"
She spent $26 more on clothes than food. So her clothes purchase is "F+26".
So let's set-up the equation this way:
food + clothing = Total Spent
F + F + 26 = 70
2F + 26 = 70 (subtract 26 from both sides of the = sign)
2F = 44 (Divide both sides so you find out how much was spent on "F" or food.)
F = 22 (But the question doesn't stop there.)
Deborah spent $22 on food. (Remember, she spent $26 more on clothes, so we have to use our "clothes" equation? ) Deborah spent $48 on clothes. She spent a total of $70 on her purchases.
Do any of you guys know the answers to these! Need help
Answer:
(16) 0 (17) 36
Step-by-step explanation:
8-3 = 5
5x5 = 25
25 / 25 = 1
1 - 1 = 0
and 81 / 9 x 4 = 9 x 4 = 36
Answer:
0 and 36
Step-by-step explanation:
16
25 ÷ (8 - 3)² - 1 ← evaluate parenthesis
= 25 ÷ 5² - 1 ← evaluate exponent
= 25 ÷ 25 - 1 ← evaluate division
= 1 - 1
= 0
17
[tex]\frac{4}{9}[/tex] × 81 = 4 × 9 = 36
What power of 10 makes number 3 equal 3,000
Answer:
3 power of 10 makes number 3 equal 3000
Step-by-step explanation:
10*10*10=1000
3*1000=3000
Answer:
3 x 10^3
Step-by-step explanation:
3 x 10^3
3 x 1000
3000
hope this helps, pls mark brainliest :D
Ahmed is saving up his money to buy a iPad that costs $319.50. Right now he has $21.95, and can save $63.00 each week. How many weeks will it take for Ahmed to have enough money to buy the iPad?
Answer:
5 weeks
Step-by-step explanation:
319.50-21.95=297.55
297.55/63.00=4.72
Since he can't wait for those many weeks, you would round it to 5 so he has enough money
The Council of American Beet Farmers estimate that 60% of Americans love beets.
Based on this estimation, determine the probability for each of the following scenarios. Round your answers to three decimal places.
In a survey of 22 Americans, exactly 15 of them will respond that they love beets.
Answer: 13% or 0.1314
Step-by-step explanation: Binomial PDF on the calculator or by hand its
22 nCr 15 (0.60)^15(1-0.6)^7 = 0.131378
The probability in a survey of 22 Americans where exactly 15 of them will respond that they love beets given that 60% of American love beets is 0.131.
What is probability?It is the chance of an event to occur from a total number of outcomes.
The formula for probability is given as:
Probability = Number of required events / Total number of outcomes.
We have,
The binomial probability distribution:
[tex]^nC_r p^r (1 - p)^{n - r}[/tex]
Now,
p = 60% = 60/100 = 0.6
1 - p = 1 - 0.6 = 0.4
n = 22
r = 15
Now,
[tex]^nC_r p^r (1 - p)^{n - r}[/tex]
= [tex]^{22}C_{15}(0.6)^{15} (0.4)^{22 - 15}[/tex]
= [tex]^{22}C_{15}(0.6)^{15} (0.4)^7[/tex]
= 0.1313
Thus,
The probability is 0.131.
Learn more about probability here:
https://brainly.com/question/14099682
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Use the figure below to find the length of the midsegment.
68
54
4x + 6
68
54
4x + 44
Answer:
38
Step-by-step explanation:
4x + 6 = ½(4x + 44) (midsegment theorem)
Multiply both sides by 2
2(4x + 6) = 4x + 44
8x + 12 = 4x + 44
Collect like terms
8x - 4x = -12 + 44
4x = 32
Divide both sides by 4
x = 8
Length of midsegment = 4x + 6
Plug in the value of x
Midsegment = 4(8) + 6
= 32 + 6
= 38
-45 + s = -105, s = ?
Answer:
s = - 60
Step-by-step explanation:
-45 + s = -105
s = -105 + 45
s = - 60
Exercice1
1. Montrer que 5 et-3 sont des diviseurs de -15.
2. Montrer que pour tout entier naturel n, l'entier naturel n + 1 est un diviseur de l'entier n? - 1.
Exercice2
Pour tout entier relatif p, N = 2p? +4p-16 est-il un entier pair?
Exercice3
Sur le site touristique de Carnac, trois parcours en train sont proposés : circuit
court de 12 min en train vert, circuit standard de 21 min en train bleu, circuit long de
42 minutes en train rouge. Le départ se fait simultanément à 14 h. Une famille nom-
breuse ne réussit pas à trouver de la place ensemble et décide d'attendre la prochaine
occasion de prendre un train au choix.
Aquelle heure faut-il revenir au plus tôt pour avoir à nouveau le choix des trois trains ?
Svp aidez moi !
Step-by-step explanation:
step by step step by step step by step by step by step step by step 352 Part 8 International natural + 11 exercise to fork out
Solve the following equation for the value for x.
7(0.3x - 0.9) = 6x-0.6 (18 +4x)
Evaluate: 12 divided by y+9d if y = 5 and d = 7
Answer:
0.25
12/5+(7x5)
Step-by-step explanation:
12/5+(7x5)
12/5+35
12/40
Which symbol will make the number sentence true? 6/7 0.85
Answer:
6/7 > 0.85
hope this help
6/7 （） 0.85
=6/7 () 85/100
=6/7 （） 17/20
=120/140 () 119/140
∵120/140>119/140
∴6/7>0.85