Answer:
P ( snowboard I ski) = 0.5714
Step-by-step explanation:
Conditional Probability
We use the conditional probability formula to solve this question. It is
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]
In which
P(B|A) is the probability of event B happening, given that A happened.
[tex]P(A \cap B)[/tex] is the probability of both A and B happening.
P(A) is the probability of A happening.
In this question:
Event A: Ski
Event B: Snowboard.
28 out of 120 students ski:
This means that [tex]P(A) = \frac{28}{120} = 0.2333[/tex]
16 out of 120 do both:
This means that [tex]P(A \cap B) = \frac{16}{120} = 0.1333[/tex]
P ( snowboard I ski)
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.1333}{0.2333} = 0.5714[/tex]
So
P ( snowboard I ski) = 0.5714
Jamie practices singing for 45 minutes every day. Which equation represents the relationship between the total number of minutes (t ) and the number of days (d ) Jamie has practiced?
Answer:
t = 45d
Step-by-step explanation:
Number of days = d
Number of minutes = t
Number of minutes per day = 45 minutes
Total number of minutes of practice after d number of days will be :
t = number of minutes per days * Number of days
t = 45 * d
t = 45d
Note: Enter your answer and show all the steps that you use to solve this problem Find the area. The figure is not drawn to scale
Answer:
area=13.8cm^2
Step-by-step explanation:
What can I easily tell about a parabola (just by looking at its function) if it's written in a factored form
Answer:
you can tell the solutions when y = 0, if its y = k(x-a)(x-b), the solutions are x= a, b
Step-by-step explanation:
A $120.00 pair of shoes at your nearby department store is marked up 4% and then is offered at 45% off. If sales tax is 13%, what is the total amount of tax that must be paid for this pair of shoes?
i need answer ASAP
Answer:
$26
Step-by-step explanation:
0.8(X - 3) = 18.4
X - 3 = 23
X = 26
22/33 = a/24 sovle the proportion
A cognitive psychologist believes that a particular drug improves short-term memory. An experiment is conducted in which 8 randomly selected participants are given the drug and then given a short time to memorize a list of 10 words. Participants are then tested for retention 15 minutes after the memorization period. The number of words correctly recalled by each participant is as follows: 8, 9, 10, 6, 8, 7, 9, 7.
Over the past few years, the psychologist has collected a lot of data using this task with similar subjects. Although he has lost the original data, he remembers that the mean was 6 words correctly recalled and that the data were normally distributed.
Required:
a. On the basis of these data, what can we conclude about the effect of the drug on short-term memory? Use α = 0.05.
b. Determine the size of the effect.
Answer:
We can conclude that there is significant evidence that the drug improves short term memory.
Step-by-step explanation:
Given the sample data : 8, 9, 10, 6, 8, 7, 9, 7.
The sample mean, xbar = Σx / n
Sample standard deviation :
√Σ(x - xbar)²/ n-1)
Xbar = 8
Sample size, n = 8
Standard deviation, s = 1.31
H0 : μ = 6
H0 : μ > 6
The test statistic :
(xbar - μ) ÷ (s/√(n))
(8 - 6) / (1.31 / √8)
2 /0.4631549
Test statistic = 4.318
Decision region :
Reject H0 ; if Pvalue < α
α = 0.05
Pvalue from Tscore calculator :
df = n - 1 ; 8 - 1 =7
Pvalue(4.318, 7) = 0.001744
Pvalue < α ; We reject H0 ; and conclude that there is significant evidence that the drug improves short term memory.
use a flowchart to prove if the triangles in each pair are congruent. NO LINKS!!!!
9514 1404 393
Answer:
see attached
Step-by-step explanation:
It isn't clear what is supposed to go in the various blanks. We have elected to identify the corresponding congruent parts, and name the congruent triangles. The postulate supporting the conclusion is also shown.
In most cases, corresponding parts are marked congruent. The exception is the vertical angles in figure 22.
the answer is x=4 4(2×8)
HELP ME PLEASEEEEEEEEEEEEEEEEEEE
Answer:
the last one :)
Step-by-step explanation:
What is p(3) and p(3) when spinning the spinner shown at the right twice (fraction) ?
Answer:
1/49
Step-by-step explanation:
There are 7 possible outcomes, so the probability that the spinner lands on 3 twice is (1/7) * (1/7) = 1/49
• What is the difference? Complete the equation.
–30 – (-10) =
?
Solve for x
x ^2 +3x−4=0
Answer:
= 1
= − 4
Step-by-step explanation:
Answer:
The solution set is {-4, 1}.
Step-by-step explanation:
x^2 + 3x − 4 = 0
(x + 4)(x - 1) = 0
x = -4, 1.
Pwease help i will give you brain thing if its correct ♡
Answer:
1. 54 = 0.6x
2. 90 dollars (see below)
Step-by-step explanation:
54 = 0.6x
0.6 is the decimal equivalent of 60%
Divide both sides by 0.6:
54/0.6 = 0.6x/0.6
90 = x
Constant of Variation
State the relationship between the graphs of f(x) and g (x)
f(x) = -5/x, g )x) 5/x
a. f and g are reflections of each other about the y-axis.
b. f and g are reflections of each other about the x-axis.
c. g is shifted to the left 5 units relative to f, otherwise they are the same.
d. g is shifted to the right 5 units relative to f, otherwise they are the same.
Please select the best answer from the choices provided.
Answer:
B. f and g are reflections of each other about the y-axis.
Step-by-step explanation:
I calculated it logically
Quiz
Active
2.
Which net can be folded to form a pyramid?
Answer:
Where are the options?
PLease Help help Help
Answer:
98.1 square units
Step-by-step explanation:
know you need it quick
Help Give brainliest quickly
Answer:
I think the answer is forth one
The nutritional content per ounce of three foods is presented in the table below. If a meal consisting of the three foods allows exactly
1800 calories, 75 grams of protein, and 5650 milligrams of vitamin C, how many ounces of each kind of food should be used?
Food A
Food B
Food C
Calories
100
500
200
Protein
(in grams)
5
6
11
Vitamin C
(in milligrams)
400
2050
400
Food A:
OZ
Food B:
OZ
Food C:
OZ
Answer:
A = 5 ounces
B = 1 ounces
C = 4 ounces
Step-by-step explanation:
The 3 foods contain exactly 1800 calories but food A is 100 calories, food B is 500 calories and food C is 200 calories. Thus;
100A + 500B + 200C = 1800 - - - (eq 1)
The 3 meals allows exactly 75 grams of protein while A is 5 grams, B is 6 grams, C is 11 grams.
Thus;
5A + 6B + 11C = 75 - - - (eq 2)
The 3 meals allows exactly 5650 milligrams of vitamin C while A is 400 mg, B is 2050 mg and food C is 400 mg. Thus;
400A + 2050B + 400C = 5650 - -(eq 3)
Solving the 3 equations simultaneously online, we have;
A = 5 ounces
B = 1 ounces
C = 4 ounces
Food A is 5 ounces, Food B is 1 ounce, and Food C is 4 ounces and this can be determined by forming the linear equation in three variables.
Given :
The nutritional content per ounce of three foods is presented in the given table.A meal consisting of the three foods allows exactly 1800 calories, 75 grams of protein, and 5650 milligrams of vitamin C.Let the total amount of Food A be 'A', total amount of Food B be 'B', and the total amount of Food C be 'C'.
The linear equation that represents total calories in each food is:
100A + 500B + 200C = 1800
[tex]\rm A =\dfrac{ 1800 - 500B-200C}{100}[/tex]
[tex]\rm A =18 - 5B-2C[/tex] --- (1)
The linear equation that represents total protein in each food is:
5A + 6B + 11C = 75 ---- (2)
The linear equation that represents total Vitamin C in each food is:
400A + 2050B + 400C = 5650 --- (3)
Now, substitute the value of 'A' in equation (2).
[tex]\rm 5(18-5B-2C)+6B+11C=75[/tex]
Simplify the above equation.
90 - 25B - 10C + 6B + 11C = 75
C - 19B = -15
C = 19B - 15 ---- (4)
Now, substitute the value of 'C' in equation (1).
A = 18 - 5B - 2(19B - 15)
A = 18 - 5B - 38B + 30
A = 48 - 43B --- (5)
Now, substitute the value of A and C obtains in equations (4) and (5) in equation (3).
A = 5 ounces
B = 1 ounce
C = 4 ounces
For more information, refer to the link given below:
https://brainly.com/question/2263981
Jeremy was saving $8 per week.
How many weeks would it take him to save $124?
set n as the value of weeks jeremey needs to save
so jeremy needs to save 8n = 128
so n =[tex]\frac{128}{8}[/tex] = 16 weeks
PLZ HELP FIRST RIGHT GETS BRAINLEST
A summer camp has 20 boys and 20 girls. Each day, all camper names are put in a hat, and one name is drawn to receive a prize. What are the odds in favor of boys names being drawn on three out of three nights?
Answer:
[tex]\frac{1}{8}[/tex] or [tex]\frac{9}{78}[/tex]
(see explanation)
Step-by-step explanation:
This problem is asking about compound probability, what is the probability of this even happening three times in a row.
Since there are 20 boy's names and 20 girl's names in the hat, one can say that half of the names in the hat. Assume that after drawing it from the hat, the name is put back into the hat. Therefore, on each night, there is a half-chance of the event happening. To find the probability of the event, one must multiply ([tex]\frac{1}{2}[/tex]) by itself (3) times,
[tex](\frac{1}{2})(\frac{1}{2})(\frac{1}{2})\\=\frac{1}{8}[/tex]
In this case, assume that after each drawing the name is not replaced into the hat. This means that after every draw, one must subtract (1) from both the numerator and denominator of the fraction when the fraction is in the un-simplified form.
[tex](\frac{1}{2})(\frac{19}{39})(\frac{18}{38})[/tex]
Simplify,
[tex](\frac{1}{2})(\frac{19}{39})(\frac{9}{19})[/tex]
[tex]\frac{9}{78}[/tex]
9. Given a circle with a radius of 6, determine its sector area with an angle measure of 120°.
Answer:
2160 square units
Step-by-step explanation:
Given data
Radius= 6 units
Angle= 120°
Area of the sector is given as
Area of sector= r^2* ∅/2
Area of sector= 6^2*120/2
Area of sector= 36*60
Area of sector= 2160 square units
The two-way table shows the results of a recent study on the effectiveness of the flu vaccine.
A 4-column table has 3 rows. The first column has entries Vaccinated, not vaccinated, total. The second column is labeled Positive with entries 465, 485, 950. The third column is labeled Negative with entries 771, 600, 1,371. The fourth column is labeled Total with entries 1,236, 1,085, 2,321.
What is the probability that a randomly selected person who tested positive for the flu is vaccinated?
StartFraction 465 Over 2,321 EndFraction
StartFraction 465 Over 1,236 EndFraction
StartFraction 465 Over 950 EndFraction
StartFraction 465 Over 485 EndFraction
The probability that a randomly selected person who tested positive for the flu is vaccinated is 465/2321.
What is the probability?
Probability determines the chances that an event would happen. The odds the event occurs is 1 and the odds that the event does not occur is 0.
The probability that a randomly selected person who tested positive for the flu is vaccinated = number of people who tested positive and have been vaccinated / total number of people
465/2321
To learn more about probability, please check: https://brainly.com/question/13234031
#SPJ2
Answer:
its 465 Over 950 on edge 2022
Step-by-step explanation:
A field biologist collects 220 butterflies and moths. He collects 4 butterflies for every moth. How many butterflies and how many moths does he collect?
I need help with this
Answer:
65*
Step-by-step explanation:
All angles in a triangle = 180 degrees.
20. Given circle C with radius r and circle D with radius
s, what is an appropriate first step when proving
circle C is similar to circle D?
O A. Transform circle C with a dilation that has center
Cand scale factors.
B. Transform circle C with a dilation that has center
C and scale factor r.
O C. Transform circle C with the translation that maps
point Conto point D.
OD. Transform circle C with the translation that maps
point onto point C.
Answer:
A. Transform circle C with a dilation that has center C and scale factor s.
Step-by-step explanation:
Given
Circle C
[tex]radius = r[/tex]
Circle D
[tex]radius = s[/tex]
Required
Map C to D
From the question, we can assume that:
[tex]r \ne s[/tex]
This implies that options c and d are false because when an object is translated from one point to another, the size of the object remains unchanged.
To map C onto D,
1) C has to be dilated from its own center C
2) The scale of dilation will be equal to the radius of D (i.e. s)
Hence, (A) is correct
Answer:
It's C
Transform circle C with the translation that maps point Conto point D.
The value of a car that depreciates over time can be modeled by the function
M(t) = 18000(0.8)^3t. Write an equivalent function of the form M(t) = ab^t.
Answer:
t=0
Step-by-step explanation:
What is got was 0
Match the equation below with the following graph.
Which measure of center is most appropriate, and what
is the value of the measure of center?
As a quality inspector for an automobile manufacturer,
you record the gap between adjacent side panels on
several cars as follows: 6,7, 6:1, 6:2, 6.7, 6.5, 6.4, 6.3,
and 6.1 millimeters. The standard deviation of these data
is 0.23, and the range is 0.6.
mean; 6.375
median; 6.375
mean; 6.4
median; 6.6
mode; 6.7
Answer:
The mean is 6.41428571429
Step-by-step explanation:
So C would be the answer
Does (3,8) make the Equation y=x-5 true?
Answer:
no
Step-by-step explanation:
Tessellations
Rotate the parallelogram 180° clockwise about point Q.
Please select the best answer from the choices provided
Answer:
D.
Step-by-step explanation:
I calculated it logically
Tell whether the ordered pair is a solution of the inequality.
3x + 3y 5 -6: (-1,-4)
step by step explanation
help
Answer:
(-1, -4) is a solution
Step-by-step explanation:
3x + 3y ≤ -6
plug in point (-1, -4)
3(-1) + 3(-4) ≤ -6
-3 + -12 ≤ -6
-15 ≤ -6 true
(-1, -4) is a solution