Answer:
Step-by-step explanation:
b = 44
When parallel lines is cut by a transversal, alternate exterior angles are congruent
1/2r = 7/2. solve for r
Answer:
r = 7
Step-by-step explanation:
hope this was helpful let me know you need the steps! :)
Answer: 1.75 or 1 3/4
Step-by-step explanation:
Because first you need to get R by it’s self by dividing it by 1/2 then if you divided it by one side you have to divide it by the other side so you get r=1.75 or 1 3/4.
) [7 − 2x + 5y − (x − y)] − (5x + 3y − 7)
Answer:
[7-2x+5y-(x-y) -[5x+3y-7]
= 7-2x+5y-x+y-5x-3y+7
=7+7-2x-x-5x+5y+y-3y
=14-8x+3y
=-8x+3y+14
Step-by-step explanation:
Answer:
The answer is 14!
Step-by-step explanation:
A farmer is purchasing hay for his cows. Before tax, one ton of hay costs $130. The farmer wants to know the total price, including a 6% sales tax.
Answer:
t-120(30
Step-by-step explanation:
Answer:
idek this one was confusing for me to
Suppose that there are two types of tickets to a show: advance and same-day. Advance tickets cost 25$ and same-day tickets cost 20$ . For one performance, there were 50 tickets sold in all, and the total amount paid for them was 1150$ . How many tickets of each type were sold?
Answer:
Number of advance tickets sold = 30
Number of same-day tickets sold = 20
Step-by-step explanation:
Let,
x be the number of advance tickets sold
y be the number of same-day tickets sold
According to given statement;
x + y = 50 Eqn 1
25x + 20y = 1150 Eqn 2
Multiplying Eqn 1 by 25
25(x+y=50)
25x + 25y = 1250 Eqn 3
Subtracting Eqn 2 from Eqn 3
(25x+25y)-(25x+20y) = 1250 - 1150
25x + 25y - 25x - 20y = 100
5y = 100
Dividing both sides by 5
[tex]\frac{5y}{5}=\frac{100}{5}\\y=20[/tex]
Putting y = 20 in Eqn 1
x + 20 = 50
x = 50 - 20
x = 30
Hence,
Number of advance tickets sold = 30
Number of same-day tickets sold = 20
Ricardo and Tammy practice putting golf balls. Ricardo makes 47% of his putts and Tammy makes 51% of her putts. Suppose that Ricardo attempts 25 putts and Tammy attempts 30 putts. Let R = the proportion of putts Ricardo makes and T = the proportion of putts Tammy makes. What is the probability that Ricardo makes a higher proportion of putts than Tammy?
Find the z-table here.
Answer:
0.3821 = 38.21% probability that Ricardo makes a higher proportion of putts than Tammy.
Step-by-step explanation:
To solve this question, we need to understand the normal distribution, the central limit theorem, and subtraction of normal variables.
Normal probability distribution
When the distribution is normal, we use the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
Central Limit Theorem
The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean [tex]\mu = p[/tex] and standard deviation [tex]s = \sqrt{\frac{p(1-p)}{n}}[/tex]
Subtraction of normal variables:
When we subtract normal variables, the mean of the subtraction will be the subtraction of the means, while the standard deviation will be the square root of the sum of the variances.
Ricardo makes 47% of his putts, and attempts 25 putts.
By the Central Limit Theorem, we have that:
[tex]\mu_R = 0.47, s_R = \sqrt{\frac{0.47*0.53}{25}} = 0.0998[/tex]
Tammy makes 51% of her putts, and attempts 30 putts.
By the Central Limit Theorem, we have that:
[tex]\mu_T = 0.51, s_T = \sqrt{\frac{0.51*0.49}{30}} = 0.0913[/tex]
What is the probability that Ricardo makes a higher proportion of putts than Tammy?
This is the probability that the subtraction of R by T is larger than 0. The mean and standard deviation of this distribution are, respectively:
[tex]\mu = \mu_R - \mu_T = 0.47 - 0.51 = -0.04[/tex]
[tex]s = \sqrt{s_R^2 + s_T^2} = \sqrt{0.0998^2 + 0.0913^2} = 0.1353[/tex]
This probability is 1 subtracted by the pvalue of Z when X = 0. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
By the Central Limit Theorem
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{0 - (-0.04)}{0.1353}[/tex]
[tex]Z = 0.3[/tex]
[tex]Z = 0.3[/tex] has a pvalue of 0.6179
1 - 0.6179 = 0.3821
0.3821 = 38.21% probability that Ricardo makes a higher proportion of putts than Tammy.
Answer:
A (.384)
Step-by-step explanation:
EDGE2021! :)
What is the slope of a line passing through (0,6) and (15,
21)?
Answer:
The slope is 1 :)
Step-by-step explanation:
You'd like to purchase a new car when you graduate and start working. The car that you would really like costs $40,000. You've
checked with the bank and based on your income, you would qualify for a car loan with an annual interest rate of 5.64% with a 3-year repayment period. What would be your monthly car loan payment?
Answer:
1210.36
Step-by-step explanation:
40,000=pv
5.64/12=0.47% is interest
3*12=36 periods
I have used a financial calculator
image
A.
T
(
−
1,0
)
B.
T
(
1,0
)
C.
T
(
0,
−
1
)
D.
T
(
0,1
)
I need help with this
Answer:ooop
Step-by-step explanation:
Shshjaasksk
Answer:
3 to the 5th power would be 243.
Express the difference of 5.023 x 10^-2 and 4.6 x 10^-4 in scientific notation.
How much is it 2 % from 50
Answer: 4%
Convert fraction (ratio) 2 / 5
Jim is 5 feet, 8 inches (5.7) ft tall. He casts a shadow that is 6 feet, 4 inches (6.3ft) long. A tree casts a shadow that is 19 feet long. How tall is the tree?
Answer:20-24 feet
Step-by-step explanation:
express x²+4x-7 in the form (x+a)²-b where a and be are integers
Answer:
(x + 2)^2 - 11.
Step-by-step explanation:
f(x) = x^2 + 4x - 7
So x^2 + 4x = (x + 2)^2 - 4 so we have:
f(x) = (x + 2)^2 - 4 - 7
f(x) = (x + 2)^2 - 11.
I need help with this I will mark u as brainliest
Answer:
table 2
Step-by-step explanation:
im not fully sure if this is correct
Translate the algebraic expression shown below into a verbal expression. (3 points) Fraction with variable x in numerator and 4 in the denominator. Group of answer choices The sum of four and some number The product of some number and four The difference of four and some number The quotient of some number and four
the answer is x/4
Step-by-step explanation:
i did the test!
mr. rodriguez has 49 rulers and 35 calculators that he wants to put in baskets for his students. all baskets will have an equal number of rulers. All bags will have an equal number of calculators. What is the greatest number of baskets he can make and have no rulers and calculators left over?
Answer:
7
Step-by-step explanation:
Please let me know if you want me to add an explanation as to why this is the answer. I can definitely do that, I just wouldn’t want to write it if you don’t want me to :)
what is -40 - ___ = 48
Answer:
-40 - 8 = 48
Step-by-step explanation:
what is 8(2x - 3) simplified.
Answer:
16x - 24
Step-by-step explanation:
Use distributive property to find the product of 8 and 2 and the product of 8 and 3 since x is unknown leave it as x by the 16 and subtract 24
Two fishing boats leave a marina at the same time. One boat travels north at a speed of 12 miles per hour. The other boat heads east at a speed of 9 miles per hour. Approximately how far apart are the two boats 15 minutes after they leave the marina?
Answer:
5.25 miles
Step-by-step explanation:
15 min=1/4 of hour
12/4=3
9/4=2.25
3+2.25=5.25
Answer:
d = 4.59 miles
Step-by-step explanation:
Distance Between Two Points in the Plane
Given two points A(x,y) and B(w,z), the distance between them is:
[tex]d=\sqrt{(z-y)^2+(w-x)^2}[/tex]
The fishing boats leave the marina in perpendicular directions. The first boat travels north at v=12 mph for t=15 minutes. Converting to hours t=15/60=0.25 hours.
The distance covered by this boat is
d1 = 12*0.25 = 4 miles
The boat ends up at the point (0,4).
The second boat travels east at v=9 mph for the same time t=0.25 hours. The distance is:
d2= 9*0.25 = 2.25 miles
This boat ends up at the point (2.25,0)
The distance between them is
[tex]d=\sqrt{(4-0)^2+(0-2.25)^2}=\sqrt{16+5.0625}=\sqrt{21.0625}[/tex]
Calculating the square root:
d = 4.59 miles
The table shows the lowest elevations in some countries.
A 2-column table with 5 rows. Column 1 is labeled Country with entries Dominican Republic, France, Hungary, India, Japan. Column 2 is labeled Elevation (meters) with entries negative 46, negative 2, 78, 0, negative 4.
If you plotted these elevations on a vertical number line, which would be the only country with a lowest elevation above 0?
Dominican Republic
France
Hungary
India
Answer:
THE ANSWERE IS C!!!!!!!
Step-by-step explanation: it says above 0 so its not India it has 0
its not Dominican Republic or france and japan cause it is negetive the oly chose is hurgay
Answer:
THE ANSWER IS CStep-by-step explanation:
Emma bought a carpet for $40. Later that carpet was marked down by 20%. By how much has the value been decreased?
Answer:
$8
Step-by-step explanation:
I always take 10% first cause it's easy to do, 10% of $40 is $4, plus another 10% would make it $8
Which expression is equivalent to 10x + 20y?
Answer:12=0
Step-by-step explanation:
Step-by-step explanation:
10*x=10
20*y=20
20+10=30
Find the inverse of the equation y = –4x – 8.
y = 4x +8
Step-by-step explanation:
Just take the signs of the integers and switch them around! -4 becomes +4, and -8 becomes +8. Note that you should not switch multiplication to division, this only works for addition and subtraction signs.
The table shows the relationship between the depth, in meters, of a submarine and
the time, in minutes, since it started a dive.
Submarine Depth
Time (minutes) Depth (meters)
2
100
4
180
09
260
8
340
Part B
Determine whether the relationship is proportional or not. Explain how the relationship
shown in the table supports your answer. Explain how your graph supports your answer.
Enter your answer and your explanations in the space provided.
9514 1404 393
Answer:
not proportional -- the y-intercept is not zero
Step-by-step explanation:
A quick check of table values shows the relationship is not proportional:
100/2 = 50 ≠ 45 = 180/4
That is, the ratios of table values are not constant.
__
When the values are graphed, the line through the points does not intersect the origin. This is further indication the relationship is not proportional.
True or false 7 ÷ 1/4 is the same as 7*4
A. True
B. False
Answer:
False
Step-by-step explanation:
Answer:
A. True
Step-by-step explanation:
7 divided by 1/4 flip it it equals 28
7 x 4 -= 28
help me pls thank you alot!
The surface area of this sphere is 20,096 square centimeters. What's the volume of this sphere please help me
Answer:
Step-by-step explanation:
The trick is to find the radius. The surface area does that.
A =4* pi * r^2
20096 = 4 * 3.14 * r^2
20096 / 4 = 3.14 * r^2
5024 = 3.14 * r^2
5024 / 3.14 = r^2
r^2 = 1600
√r^2 = √1600
r = 40
Now all you do is use r to find the Volume
V = (4/3) * 3.14 r^3
V = (4/3) * 3.14 * 40^3
V = 1.333 * 3.14 * 64000
V = 26796.67
David has 6 blue shirts and 4 red shirts. Write the ratio of David's red shirts to
total shirts as a fraction in simplest form.
ASAP!!!!
Answer:
4/10= 2/5
Step-by-step explanation:
Answer:
red shirts : total
4 : 10= 4/10
Find the perimeter of the polygon.
9514 1404 393
Answer:
30 in
Step-by-step explanation:
The enclosing rectangle is 4 by 10, so has a perimeter of ...
P = 2(L+W) = 2(10+4) = 28
The notch adds 2 inches to the perimeter, so the total of all side lengths is ...
28 +2 = 30 . . . inches
Sandra orders a box of cube-shaped beads. The beads are neatly stacked in layers, with the same number of beads in each layer. Each layer is12 beads across and 7 beads wide. There are 4 layers. How many beads does she receive
Answer: 336 beads
Step-by-step explanation:
To find how many beads are in each layer, use the equation 12 x 7 = 84
Then multiply the amount of beads by each layer: 84 x 4 = 336