Answer:
The probability is of selecting a green shirt is 8
Step-by-step explanation:
24 - 4 = 20
20 - 12 = 8
The probability of not selecting a white shirt is 2/3.
What is Probability?It is a branch of mathematics that deals with the occurrence of a random event.
Given that a laundry basket has 24 t-shirts 4 are navy 12 are red and the rest are white
We have to find the probability of not selecting a white shirt
Total number of shirt's= 24
navy = 4
red = 12
white = 24 - ( 4+12)= 8 white shirts
number of shirts that are not white = 16
Therefore the probability of not selecting a white shirt = 16/24
= 2/3
Hence, the probability of not selecting a white shirt is 2/3.
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A laundry basket has 24 t-shirts 4 are navy 12 are red and the rest are white what is the probability of not selecting a white shirt
A standard working day is 8 hours. If you were to work 125% of a normal day, how many total hours would you work?
Answer:
10
Step-by-step explanation:
Whenever we see "of" we know its multiplication
125% x a normal day
125% x 8
\(\frac{125}{100}\) x 8
10
:)
7.Select the correct answer from each drop down menu
An amusement park prices tickets at $55 and sells an average of 500 tickets daily. The management finds, over multiple increases in ticket pricing, that a $2 increase in the price of a ticket leads to an average of 20 fewer tickets being sold in a day.
1. daily earnings of the amusement park after one $2 increase
daily earnings before any $2 increases
number of tickets sold before any $2 increases
2. price of a ticket after x increases of $2
number of tickets sold after x increases of $2
number of tickets sold before any $2 increases
Note: (If you give me a silly or absurd answer I will report you)
1. Daily earnings of an amusement park before any 2$ increases
2. Number of tickets sold after x increases of 2$
Hopefully this helps!
The answers are daily earnings of the amusement park before any $2 increases and the number of tickets sold after x increases of $2.
What is polynomial?Polynomial is the combination of variables and constants systematically with "n" number of power in ascending or descending order.
\(\rm a_1x+a_2x^2+a_3x^3+a_4x^4..........a_nx^n\)
The question is incomplete.
The complete question is in the picture, please refer to the attached picture.
We have:
An amusement park prices tickets at $55 and sells an average of 500 tickets daily.
From the question, we have a polynomial that represents the daily earnings of the amusement park.
P(x) = -40x² - 100x + 27,500
The constant of the polynomial expression represents the daily earnings of the amusement park before any $2 increases.
And (500 - 20x) represents the number of tickets sold after x increases of $2
Thus, the answers are daily earnings of the amusement park before any $2 increases and the number of tickets sold after x increases of $2.
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7. |-7) - 131 =
a. - 4
b. 4
C. 10
d. - 10
Answer:
Step-by-step explanation:
If the question is - 7 - 131 = - 138
Solve the equation.
3y + 11 = -16
Answer:
y= -9
Step-by-step explanation:
Answer:
y = -9
Step-by-step explanation:
Algebra:
3y + 11 = -16
-11 -11
3y = -27
÷ 3 ÷ 3
y = -9
solve for t
–9.96 + 9.9t = 1.54 + 7.7t + 7.2t
Answer: -2.3
Step-by-step explanation:
–9.96 + 9.9t = 1.54 + 7.7t + 7.2t
–9.96 + 9.9t = 1.54 + 14.9t
-9.96 - 5t = 1.54
-5t = 11.5
t = -2.3
Question 6 (5 points)
Which of the following pairs of triangles can be proven similar through SSS
similarity?
The pairs of triangles can be proven similar through SSS similarity is given by Third pair.
We know that the SSS similarity criteria will have the ratio of three corresponding sides of both triangles congruent.
1. KL / EG = HL / DG = HK / DE
3/6 = 6.5/13 ≠ 4/10
Thus, SSS similarity does not follow.
2. KL / EG = HL / DG = HK / DE
3/10 ≠ 6.5/13 ≠ 4/10
Thus, SSS similarity does not follow.
3. KL / EG = HL / DG = HK / DE
3/6 = 6.5/13 = 5/10
Thus, SSS similarity follow.
4. All three angles are congruent.
Thus, SSS similarity does not follow.
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A sample was taken of the salaries of four employees from a large company. The following are their salaries (in thousands of dollars) for this year. 33 31 24 36 The variance of their salaries is A. 5.1. B. 31. C. 26.
The variance of the four employees' salaries is 5.1, meaning that the difference in their salaries is 5.1 thousand dollars.
Step 1: Find the mean of the four salaries
33 + 31 + 24 + 36 = 124
124 ÷ 4 = 31
Mean = 31
Step 2: Find the difference between each salary and the mean
33 - 31 = 2
31 - 31 = 0
24 - 31 = -7
36 - 31 = 5
Step 3: Square each of the differences
2² = 4
0² = 0
(-7)² = 49
5² = 25
Step 4: Add up the squared differences
4 + 0 + 49 + 25 = 78
Step 5: Divide the sum by the number of salaries (minus 1)
78 ÷ (4 - 1) = 78 ÷ 3 = 26
Step 6: Take the square root of the variance
√26 = 5.1
Variance = 5.1
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What is the answer to this problem?
Answer:
(-√6+√2)/4
Step-by-step explanation:
we'll use the addition identity of cos which is cos(a+b)=cos(a)*cos(b)+sin(a)*sin(b)
and the numbers we'll use are 180 and 75 since they add up to make 255 and they have some fixed values so we'll add them up
cos(75+180)= cos(75)*cos(180)+sin(75)*sin(180)
and the answer we get is (\(-\sqrt{6} +\sqrt{2}\))/4
basically, just write this in fraction form without the brackets (the 4 is dividing both of them so write it in the middle)
I hope I get this write as this is the first time I'm solving questions like these
and one thing to remember is that for cosine try to use numbers under 180 or 180 itself as the range of the cosine function is from -180 to 180 so even if we use like 181 it goes into negative and decimal similarly for sine its -90 to 90
Question 1 1.1. Express each of the ratios below in the simplest form. Show all you steps and calculations. 1.1.1. 75: 125 1.1.2. 3mm: 3m 1.1.3. 7500g: 2 Kg 1.1.4.250ml: 21 1.1.5. 250 kg: 2 tonnes bank fo
The ratio of 75:125 is 3:5.
The ratio 3 mm : 3000 mm is 1:1000.
The ratio of 7500g:2 Kg is 3.75:1.
The ratio of 250ml:2l is 1:8.
How to calculate the ratioTo simplify this ratio, we need to find the greatest common factor (GCF) of 75 and 125, and divide both terms by it.
The factors of 75 are: 1, 3, 5, 15, 25, 75.
The factors of 125 are: 1, 5, 25, 125.
The GCF is 25.
Dividing both terms by 25, we get:
75 ÷ 25 = 3
125 ÷ 25 = 5
Therefore, the simplified ratio is 3:5.
1.1.2. 3mm:3m
To simplify this ratio, we need to convert the units so that they are the same.
1 m = 1000 mm
So, 3 m = 3000 mm
Now, the ratio is 3 mm : 3000 mm.
We can simplify this ratio by dividing both terms by 3:
3 mm ÷ 3 = 1 mm
3000 mm ÷ 3 = 1000 mm
Therefore, the simplified ratio is 1:1000.
1.1.3. 7500g:2 Kg
To simplify this ratio, we need to convert either grams to kilograms or kilograms to grams so that both terms have the same unit.
7500 g = 7.5 kg (since 1 kg = 1000 g)
Now, the ratio is 7.5 kg : 2 kg.
We can simplify this ratio by dividing both terms by 2:
7.5 kg ÷ 2 = 3.75 kg
2 kg ÷ 2 = 1 kg
Therefore, the simplified ratio is 3.75:1.
1.1.4. 250ml:21
To simplify this ratio, we need to convert milliliters to a whole number.
We can convert 250 ml to 250/21 ml by dividing both terms by 21:
250 ml ÷ 21 = 11.9 ml (rounded to one decimal place)
Now, the ratio is 11.9 ml : 21.
We can simplify this ratio by dividing both terms by 0.1:
11.9 ml ÷ 0.1 = 119 ml
21 ÷ 0.1 = 210
Therefore, the simplified ratio is 119:210.
1.1.5. 250 kg:2 tonnes
To simplify this ratio, we need to convert either kilograms to tonnes or tonnes to kilograms so that both terms have the same unit.
1 tonne = 1000 kg
So, 2 tonnes = 2000 kg
Now, the ratio is 250 kg : 2000 kg.
We can simplify this ratio by dividing both terms by 250:
250 kg ÷ 250 = 1 kg
2000 kg ÷ 250 = 8 kg
Therefore, the simplified ratio is 1:8.
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What is the equation of the line that is perpendicular to y = 3x + 3 and passes through the point (-6, 9)?
y=-1/3x+3
y=-1/3x+7
y=3x-33
y = 3x + 27
Answer:
y = - \(\frac{1}{3}\) x + 7
Step-by-step explanation:
the equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = 3x + 3 ← is in slope- intercept form
with slope m = 3
given a line with slope m then the slope of a line perpendicular to it is
\(m_{perpendicular}\) = - \(\frac{1}{m}\) = - \(\frac{1}{3}\) , then
y = - \(\frac{1}{3}\) x + c ← is the partial equation
to find c substitute (- 6, 9 ) into the partial equation
9 = - \(\frac{1}{3}\) (-6) + c = 2 + c ( subtract 2 from both sides )
7 = c
y = - \(\frac{1}{3}\) x + 7 ← equation of perpendicular line
Write the equation of the line that passes through (7,-4) and (-1,2) in slope-intercept form
Given: Z2 and Z4 are vertical angles.
Prove: Z2 = Z4
Step-by-step explanation:
we know about vertical angels that are equal
so <2=<4
(in fact they are congruent angles)
we found those only from the definition of vertical angles.
There are 900 3-digit integers, the integers between 100 and 999, inclusive. What percent of these integers contain only odd digits
Each digit can be one of {1, 3, 5, 7, 9}, so there are 5 choices for each. Then there are 5•5•5 = 5³ = 125 integers containing only odd digits, which means they make of 125/900 ≈ 14% of them.
A barista uses the following amounts of milk in three
cups of hot beverages: 57mL, 69mL and 53mL. If there
were 2L of milk to begin with, how much would be left?
Amount used in 3 cups
57+69+53110+69179mLBegan milk=2L
2(1000)2000mLMilk left
2000-1791821mLAnswer:
1821 mL or 1.821 L
Step-by-step explanation:
Converting L to mL :
Unit rate : 1 L = 1000 mL
⇒ 2L = 2000 mL
Now three amounts of 57 mL, 69 mL, and 53 mL are used. They need to be subtracted from the total.
⇒ Remaining = 2000 - [57 + 69 + 53]
⇒ Remaining = 2000 - 179
⇒ Remaining = 1821 mL or 1.821 L
HELP ME PLEASE!!!!!!
ZEARN!!!!
The expression 1 2/5 + 2 2/3 using fifteenths is 3 + 6/15 + 10/15
How to rewrite the expression using fifteenthsFrom the question, we have the following parameters that can be used in our computation:
1 2/5 + 2 2/3
3 + 2/5 + 2/3
To rewrite the expression using fifteenths, we multiply the numerator and the denominator of the fractions by the same number
In this case, we use 3 and 5
So, we have
3 + 2/5 * 3/3 + 2/3 * 5/5
Evaluate the products
3 + 6/15 + 10/15
Hence, the expression using fifteenths is 3 + 6/15 + 10/15
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Carpetland carpet installers incur an average cost of $300 for each carpet installed. Joan Chin, the firm’s vice president, proposes a new procedure for installations, which she hopes will be more efficient. Joan plans to run a trial and hopes that the results of a trial period will enable her to conclude with a level of significance of 0.05 that the new procedure reduces the average cost to install a carpet. If Joan's hypothesis test results in a Type II error, what would this mean?
Answer:
A Type II error happens when the null hypothesis failed to be rejected, although it is false and the alternative hypothesis is true.
In this context, would be that the test does not give enough evidence to support the claim that the new procedure reduces the average cost, although it really does reduces it.
The new procedure is effective, but the sample does not give enough evidence.
Step-by-step explanation:
What is the cost of a pair of shoes if they retail for $18.50, have a tax of 6%, and you have a coupon for 20% off after taxes
Answer:
$15.69
Step-by-step explanation:
multiply the retail price by 1.06 to get the price after taxes.
find the discounted price by multiplying the price after taxes(19.61) by 0.8 since it is 20% off to get the answer
I need help ASAP plzz
Step-by-step explanation:Well u need to try but if not i will help
Currently it is estimated that 3 out of every 1000 Californians are infected with
coronavirus. The so-called rapid "antigen" test for coronavirus has a very low false
positive.rate of just 0.05, but has a high false negative rate of 0.2.
What is the probability that an antigen test comes back positive?
The probability that an antigen test comes back positive is approximately 0.05225, or about 5.225%.
We have,
To find the probability that an antigen test comes back positive, we need to consider both the true positive rate (probability of a positive test given that the person is infected) and the false positive rate.
Now,
Prevalence of coronavirus in California: 3 out of 1000
False positive rate of the antigen test: 0.05 (5 out of 100)
Let's calculate the probability of a positive test result.
The true positive rate can be calculated as 1 minus the false negative rate (probability of a negative test given that the person is infected):
True positive rate = 1 - 0.2 = 0.8 (or 80 out of 100)
The probability of a positive test result can be calculated using Bayes' theorem:
P(Positive test) = P(Positive test | Infected) x P(Infected) + P(Positive test | Not Infected) x P(Not Infected)
P(Positive test) = (0.8 x 3/1000) + (0.05 x 997/1000)
P(Positive test) = 0.0024 + 0.04985
P(Positive test) = 0.05225
Therefore,
The probability that an antigen test comes back positive is approximately 0.05225, or about 5.225%.
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The probability of rain on a particular day is 0.4. If it rains, the probability that Pablo goes jogging is 0.15. If it does not rain, the probability that he goes jogging is 0.85. What is the probability that Pablo goes jogging on that day?
The probability that Pablo goes jogging on that day is 0.57 or 57%.
Given that,
The probability of rain on a particular day is 0.4.
When it rains, the probability that Pablo goes jogging is 0.15.
And, it does not rain, the probability that he goes jogging is 0.85.
Now, The probability for Pablo goes jogging on that day is find as,
The probability that it rains and Pablo goes jogging,
0.4 x 0.15 = 0.06
And, The probability that it does not rain and Pablo goes jogging,
0.6 x 0.85 = 0.51
Therefore, the total probability that Pablo goes jogging on that day is:
0.06 + 0.51 = 0.57
Thus, the probability that Pablo goes jogging on that day is 0.57 or 57%.
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For example, for a circle of diameter 4 cm, the circumference is approximately
cm.
Answer:
the diameter is 4 cm which means the radius is 2 cm. Diameter divided by two will give you the radius. The formulae for circumference is 2 π⋅r. So the circumference would be 4 π.
Step-by-step explanation:
At a store, socks are sold with a different number of socks in each package. Which package has the lowest price per pair of socks?
Group of answer choices
12 pairs for $15.99
8 pairs for $8.99
4 pairs for $4.99
6 pairs for $7.99
The lowest price per pair of socks will be 8 pairs for $8.99 among the given options thus, option (B) is correct.
What is the arithmetic operator?Arithmetic operators are four basic mathematical operations in which summation, subtraction, division, and multiplication involve.,
Division = divide any two numbers or variables called division.
For example 4/8
As per the given,
Cost per pair of 12 pairs for $15.99 ⇒ 15.99/12 = $1.33
Cost per pair of 8 pairs for $8.99 ⇒ 8.99/8 = $1.12
Cost per pair of 4 pairs for $4.99 ⇒ 4.99/4 = $1.24
Cost per pair of 6 pairs for $7.99 ⇒ 7.99/6 = $1.33
Since $1.12 is the lowest among all thus, 8 pairs for $8.99 will be the lowest.
Hence "The lowest price per pair of socks will be 8 pairs for $8.99".
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Estimation Suppose the original quantity is $30 and the new quantity is $39. Estimate the percentchange. Is this an example of a percent increase or a percent decrease?Which of these is the best estimate for the percent change?OA. 100%OB. 90%OC. 30%OD. 60%
STEP - BY - STEP EXPLANATION
What to find?
Percentage change.
Given:
original quantity = $30
New quantity = $39
Step 1
Recall the formula for percentage change.
\(\text{ \% change=}\frac{new\text{ quantity-original quantity}}{original\text{ quantity}}\times100\text{ \%}\)Step 2
Substitute the values.
\(\text{ \% change=}\frac{39-30}{30}\times100\text{ \%}\)\(=\frac{9}{30}\times100^\text{ \%}\)\(=30\text{ \%}\)Hence, we have a 30% percentage increase.
ANSWER
C. 30%
Absolute value of sqrt(5) - 2.2
0.03607
Step-by-step explanation:Absolute value is the distance of a number from zero. Since distance is always positive, the absolute value is the same number but positive.
Please note, for this problem I have rounded to 5 decimal points because the answer is irrational.
Subtracting
There are 2 different ways to approach this problem. You can either estimate the square root of 5 or plug this question straight into a calculator.
First, we can estimate \(\sqrt{5}\) and round to 5 decimal places.
\(\sqrt{5}\) ≈ 2.23607Then, take this value and subtract.
2.23607 - 2.2 = 0.03607Absolute Value
Now that we have solved the subtraction problem we have to find the absolute value. As stated above, the easiest way to find absolute value is to simply make the number positive. Since the answer is already positive, this is the final answer.
|0.03607| = 0.03607Solve the inequality 3x + 4 < 22
Answer:
3х<18
х<6
хє(-infinity ;6);
Answer:
x<6
Step-by-step explanation:
3x+4<22
First, subtract 4 from both sides of the inequality.
3x-4<22-4
This cancels out the 4, so the 3x is isolated
3x/3<18/3
Finally, simplify to get the answer.
x<6
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4. Analyzing the effects of a trade deficit
You have just been hired by the U.S. government to analyze the following scenario. Suppose the U.S. automobile industry is concerned about foreign car producers exporting their goods to the United States, a practice that hurts domestic producers. Lobbyists claim that implementing a quota on imports would shrink the size of the trade deficit. The following exercise will help you to analyze this claim.
The following graph shows the demand and supply of U.S. dollars in a model of the foreign-currency exchange market.
If the government decided to apply the quota, the most likely thing to occur to the supply curve would be a reduction in the import of foreign vehicles to the United States.
If there is an influx of foreign vehicles in the United States, it would hurt local production and a quota on imports means that at a certain point, imports on foreign cars would be capped.
What is a Supply Curve?This refers to the graphical representation between the price of a good or service and the quantity supplied for a given period of time.
Hence, we can see that if the government decided to apply the quota, the most likely thing to occur to the supply curve would be a reduction in the import of foreign vehicles to the United States.
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Which statement describes a cause of screwed data
a sample that excludes subjects that are not part of the population being measured.
Find the value of y.
Answer:
y = \(\sqrt{55}\)
Step-by-step explanation:
using the Altitude- on- Hypotenuse theorem
(altitude)² = product of parts of hypotenuse
then
y² = 11 × 5 = 55 ( take square root of both sides )
y = \(\sqrt{55}\)
The students in Class A and Class B were asked how many pets they each have. The dot plots below show the
results
Students in Class A
Number of Pets
Students in Class B
What is the difference between the ranges in the dot plot
Answer:
The answer is 2
Step-by-step explanation:
The range of class A is 5-0 = 5
The range of class B is 3-0 = 3
the difference between 3 and 5 is 2.
Does this table represent a function? Why or why not
Answer:
No
Step-by-step explanation:
This table does not represent a function. The domain(x) can have only one range(y) in order for a set of data to represent a function. However, the domain value 2 has the range of both 1 and 4. Therefore, the table does not represent a function.