[tex]8:16\implies \cfrac{8}{16}\implies \cfrac{1}{2}\implies 1:2 \\\\[-0.35em] ~\dotfill\\\\ \cfrac{16}{31}\qquad \bigotimes~\hfill \cfrac{1}{3}\qquad \bigotimes~\hfill \cfrac{1}{2}\qquad \textit{\large \checkmark}~\hfill \cfrac{12}{24}\implies \cfrac{1}{2}\qquad \textit{\large \checkmark}[/tex]
Answer:
1/2. and 12/24
they are both halves just as the ratio is half of the given number
In an honors math class of 25 students, 15 are boys and 10 are girls. On the final exam, 6 boys and 3 girls received a grade of A. If a student is chosen at
random from this class, what is the probability of choosing a girl or a student who did not receive an A on the exam?
1
0.76
2
0.64
3
0.40
0.28
Submit Answer
Answer:
Step-by-step explanation:
b=boy
a= a on the exam
b=15
b∩a=6
b'∩a=3
b'∪a'=?
b'∪a'= b'+a'-b'∩a'
a= b∩a+b'∩a (law of total probability) = 9
a'= 25-9 = 16
b'= 25-15= 10
16+10-7=19
19/25= .76
Andrea has 1 hour to spend training for an upcoming race. She completes her training by running full speed the distance of the race and walking back the same distance to cool down. If she runs at a speed of 9mph and walks back at a speed of 3mph, how long should she plan to spend walking back?
Answer:
3/4 hour
Step-by-step explanation:
The ratio of speeds going : coming is 9 : 3 = 3 : 1. The ratio of times will be the inverse of this: 1 : 3.
The time spent walking back is 3/(1+3) = 3/4 of the total, or 3/4 hour.
Andrea should plan on walking back for 3/4 hour.
What is the equation (y=mx+b) for the points (3,-1) and (4,7) PLZ SHOW HOW YOU GOT THE Y-INTERCEPT
Answer:
[tex]y=8x-25[/tex]
Step-by-step explanation:
The first thing to do is to find the slope. The slope is the difference in Y divided by the difference in x, or:
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
Here (3, -1) is going to be (x1, y1) and (4, 7) will be (x2, y2):
[tex]m=\frac{7--1}{4-3}=\frac{8}{1}=8[/tex]
The slope is 8. Now, you can plug that into the formula. To find the y-intercept, plug in any point on the line and solve for b:
[tex]y=mx+b\\-1=8(3)+b\\-1=24+b\\b=-25[/tex]
Now we have both the slope and the y-intercept so you can write the equation for the line:
[tex]y=8x-25[/tex]
You can test that either by checking y for some value of x, or by graphing.
Please look at picture for question.
Answer:
The answer is D ane B
Step-by-step explanation:
The expression [tex](8z-4)(-7)[/tex] you would have to distribute -7 to get [tex]-56z+28[/tex]
The same goes for 40 in the expression [tex](-1.4z+0.7)*40[/tex]
1,200×30%×25%×3% lempiras
Answer:
2.7
Step-by-step explanation:
1200x 30/100×25/100×3/100=2.7
Calculate percentage to the nearest 0.1%.
The markup on desserts in a restaurant is 70% of the menu price. The restaurant is adding key lime pie to its dessert list.
The cost to the restaurant works out to $1.25 per slice.
Determine:
a. The menu price of a slice of pie. (Round your answer to the nearest cent.)
Price
$
b. The rate of markup on cost. (Round your answer to one decimal place.)
Rate
%
9514 1404 393
Answer:
a. $4.17
b. 233.3%
Step-by-step explanation:
a. The proportion the markup (m) is to the total (t) is ...
m : t = 7 : 10
The total is the cost (c) plus the markup, so we have ...
m : t = 7 : 10 = m : (m +c) = 7 : 7 +3
Then the ratio of total price to cost is ...
t : c = 10 : 3
The menu price of the pie slice will be ...
$1.25 × 7/3 ≈ $4.17
__
b. The ratio of markup to cost is ...
m : c = 7 : 3 ≈ 2.333 = 233.3%
please help 368.9 − 234.78
Answer:
134.12
Step-by-step explanation:
Subtraction.
Tell me if you want a step by step.
Hope this helped. :)
Multiply or divide. write fractions in simplest form.
-2/7 divided by (-8/21)
please help with this problem i will mark you brainliest :)
Answer:
3/4
Step-by-step explanation:
(-2/7) / (-8/21)
When dividing by a fraction flip it over and multiply
(-2/7) * (-21/8)
Cancel 2 and 8
(-1/7) * (-21/4)
Cancel 7 and 21
(-1/1) * (-3/4)
multiply
3/4
Find the product -5.5(-1/5)?
a. -1.1
b. 2.75
c. 1.1
d. -0.275
Answer:
c. 1.1
Step-by-step explanation:
-5.5(-1/5) = 5.5/5 = 1.1
Triangle PQR, triangle RST and two angle measures are shown below
Line segment QT intersects line segment PS at point R.
What is the value of x?
(look at picture to get a better understanding)
Answer:
x=50
Step-by-step explanation:
60+70=130
180-130=50
according to vertical angles x equals 50 degrees
what is 3/4 ÷ 1/6 plz help
Answer:
4.5
Step-by-step explanation:
Rewrite as equivalent rational expressions with denominator (5c+9)(c−3)(c−8): 8/5c2−6c−27,2c/5c2−31c−72
Rational expressions are expressions that can be represented as a quotient
The equivalent rational expression of [tex]\mathbf{\frac{(5c + 9)(c - 3)}{c - 8}}[/tex] is [tex]\mathbf{\frac{5c^2 -6c-27}{c - 8}}[/tex]
The expression is given as:
[tex]\mathbf{\frac{(5c + 9)(c - 3)}{c - 8}}[/tex]
Expand the numerator as follows
[tex]\mathbf{\frac{(5c + 9)(c - 3)}{c - 8} = \frac{(5c \times c -5c \times 3 + 9\times c -9 \times 3)}{c - 8}}[/tex]
Multiply the factors on the numerator
[tex]\mathbf{\frac{(5c + 9)(c - 3)}{c - 8} = \frac{(5c^2 -15c+ 9c -27)}{c - 8}}[/tex]
Collect and evaluate like terms
[tex]\mathbf{\frac{(5c + 9)(c - 3)}{c - 8} = \frac{(5c^2 -6c-27)}{c - 8}}[/tex]
Remove the brackets
[tex]\mathbf{\frac{(5c + 9)(c - 3)}{c - 8} = \frac{5c^2 -6c-27}{c - 8}}[/tex]
This means that:
[tex]\mathbf{\frac{5c^2 -6c-27}{c - 8}}[/tex] and the given expression [tex]\mathbf{\frac{(5c + 9)(c - 3)}{c - 8}}[/tex] are equivalent
Hence, the equivalent rational expression of [tex]\mathbf{\frac{(5c + 9)(c - 3)}{c - 8}}[/tex] is [tex]\mathbf{\frac{5c^2 -6c-27}{c - 8}}[/tex]
Read more about rational expressions at:
https://brainly.com/question/25292194
What is the solution of the system of inequalities y>x^2+6x+10 y<-x^2-8x-14
Answer: hopefully this helps!
A groundhog starts out in its burrow 6.2 feet below the surface of the ground. It digs straight up at a rate of 0.8 feet per
How long does it take for the groundhog to reach a depth of
-2.6 feet?
Answer:
4.5
Step-by-step explanation:
I took the test and got it right
Tt takes 20.15 minutes for the groundhog to reach a depth of -2.6 feet.
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, a groundhog starts out in its burrow 6.2 feet below the surface of the ground.
It digs straight up at a rate of 0.8 feet per minute.
Here, rate =6.2/0.8
= 7.75 feet per minute
Now, the time is 2.6×7.75
= 20.15 minutes
Therefore, it takes 20.15 minutes for the groundhog to reach a depth of
-2.6 feet.
To learn more about the unitary method visit:
brainly.com/question/22056199.
#SPJ2
"Your question is incomplete, probably the complete question/missing part is:"
A groundhog starts out in its burrow 6.2 feet below the surface of the ground. It digs straight up at a rate of 0.8 feet per minute. How long does it take for the groundhog to reach a depth of −2.6 feet?
a stand at the farmer's market sells different types of apples as shown in
the table. Which type of apple costs the least per pound?
Answer:
C
Step-by-step explanation:
In a survey, 13 people were asked how much they spent on their child's last birthday gift. The results were roughly bell-shaped with a mean of $50 and standard deviation of $14. Construct a confidence interval at a 98% confidence level.
Answer:
21
Step-by-step explanation:
Alexis baked 87 dozen brownies. How many brownies does she have
Answer:
1,044
Step-by-step explanation:
Answer:
Step-by-step explanation:
1044
A radio station runs a promotion at an auto show with a money box with 12 $100 tickets, 11 $50 tickets, and 11 $25 tickets. The box contains an additional 20
"dummy" tickets with no value. Three tickets are randomly drawn. Find the probability that exactly two $100 prizes and no other money winners are chosen.
Answer:
I wanna have fun sike lol
Step-by-step explanation:
(b) If the population doubled in size over 30 months and the current population is 20,000, what will the population be 4 years from now?
Answer:
The population will be 160,000 in 3 years.
Step-by-step explanation:
hii, i need help with this word problem :)
Multiply the amount per week by the number of weeks (x) and add that to the starting amount they had. Set those to equal each other and solve for x:
222 + 10x = 148 + 12x
Subtract 10x from both sides:
222 = 148 + 2x
Subtract 148 from both sides
74 = 2x
Divide both sides by 2
X = 37
Answer: 37 weeks
From a large number of actuarial exam scores, a random sample of scores is selected, and it is found that of these are passing scores. Based on this sample, find a confidence interval for the proportion of all scores that are passing. Then find the lower limit and upper limit of the confidence interval. Carry your intermediate computations to at least three decimal places. Round your answers to two decimal places.
Supposing 60 out of 100 scores are passing scores, the 95% confidence interval for the proportion of all scores that are passing is (0.5, 0.7).
The lower limit is 0.5.The upper limit is 0.7.In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]\alpha[/tex], we have the following confidence interval of proportions.
[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In which
z is the z-score that has a p-value of [tex]\frac{1+\alpha}{2}[/tex].
60 out of 100 scores are passing scores, hence [tex]n = 100, \pi = \frac{60}{100} = 0.6[/tex]
95% confidence level
So [tex]\alpha = 0.95[/tex], z is the value of Z that has a p-value of [tex]\frac{1+0.95}{2} = 0.975[/tex], so [tex]z = 1.96[/tex].
The lower limit of this interval is:
[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.6 - 1.96\sqrt{\frac{0.6(0.4)}{100}} = 0.5[/tex]
The upper limit of this interval is:
[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.6 + 1.96\sqrt{\frac{0.6(0.4)}{100}} = 0.7[/tex]
The 95% confidence interval for the proportion of all scores that are passing is (0.5, 0.7).
The lower limit is 0.5.The upper limit is 0.7.A similar problem is given at https://brainly.com/question/16807970
a man walks for 45 minutes at a rate of 3 mi/h then jogs for 75 minutes at a rate of 5 mi/h then rests for 30 minutes and finally walks for 90 minutes at a rate of 3 mi/h. Write a piecewise-defined function expressing the distance he traveled as a function of time.
Answer:
Sorry need points
Step-by-step explanation:
Hello, is there anyone here a pharmacy technician?
please help! will mark brainlist
Answer:
Step-by-step explanation:
Group B, lower values of dots, with lower amounts of dots.
is 0.045 greater than 0.00195
Answer:
yes
Step-by-step explanation:
0.045 is greater than 0.00195
Plz help I need help
Answer:
a is 4 because 4 x 16=20 i hope this help
a + 16 = 20
a = ?
a = 20 + 16
a = 36
a = 36 ✔️
The deepest point in the world is the Mariana Trench in the western Pacific Ocean. It is 36,198 ft below sea level. What integer represents this depth?
Answer:
-36,198 feet below sea level
Step-by-step explanation:
5b + 6 - 6b + 2 = 19
Answer:
i got b= -11
Step-by-step explanation:
Answer:
b=-11Step-by-step explanation:
5b + 6 - 6b + 2 = 19
5b-6b+6+2=19
-b+8=19
b=8-19
b=-115(-11) + 6 - 6(-11) + 2 = 19
-55 + 6 + 66 + 2 = 19
-55+74=19
19=19
You exchange 50 AED, and receive 12 Euro. How many Euros would you receive for 1 AED? Please explain step by step on how you solved the problem. (Using equations like multiplication, devision, adding, subtracting.)
Answer:
Step-by-step explanation:
if 50 AED= 12 Euro
for 1 AED ? Euro
50AED/1AED= 12Euro/x
cross multiplication:
50*x=12*1
50*x=12
x=12/50
x=0.24 Euro
so for 1AED you will get 0.26 Euro
sunny earns $12 per hour delivering cakes. She worked for x hours this week. Unfortunately, she was charged $15 for a late delivery on Tuesday ?
Answer:
12x-15 dollars
Step-by-step explanation:
She worked for x hours, and earned $12 for every hour. This would be 12x. Then, she got charged $15 dollars, so -15. It would then be 12x-15 dollars.