9514 1404 393
Answer:
x = 8
y = 4sqrt(3)
Step-by-step explanation:
Your knowledge of special triangles tells you the side ratios of a 30°-60°-90° right triangle are ...
1 : √3 : 2 = 4 : y : x
Multiplying the reduced ratios by 4 gives ...
4 : y : x = 4 : 4√3 : 8
That is, ...
x = 8
y = 4√3
A pet store is selling dogs for $140 and cats for $70. If 28 pets were sold and the
receipts were $3360, how many cats were sold?
Answer:
x+y=28. 70x+140y=3360. 8 cats, 20 dogs were sold.
Step-by-step explanation:
hope it helps :)
A math teacher has a number cube with faces numbered 1 through 6. He will roll the number cube 400 times. Which of the following ranges contains the best prediction for the number of times the number cube will land with a 1 or a 4 on the top face?
A. 30-35
B. 65-70
C. 130-135
D. 265-270
Answer:
Step-by-step explanation:
B?
A vehicle owner interested in her vehicle’s fuel economy calculated the gas mileage in miles per gallon (mpg) each time she filled her tank, for several years. Here are the mpg values for a random sample of 20 of these records. Suppose that the standard deviation is known to be σ = 3.5 mpg.
Required:
Find the 95% confidence interval for the mean of gas mileage for this vehicle.
Answer:
The 95% confidence interval for the mean of gas mileage for this vehicle is (S - 1.53, S + 1.53), in which S is the mean of the sample of 20.
Step-by-step explanation:
We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:
[tex]\alpha = \frac{1 - 0.95}{2} = 0.025[/tex]
Now, we have to find z in the Ztable as such z has a pvalue of [tex]1 - \alpha[/tex].
That is z with a pvalue of [tex]1 - 0.025 = 0.975[/tex], so Z = 1.96.
Now, find the margin of error M as such
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.
[tex]M = 1.96\frac{3.5}{\sqrt{20}} = 1.53[/tex]
The lower end of the interval is the sample mean subtracted by M. So it is S - 1.53.
The upper end of the interval is the sample mean added to M. So it is S + 1.53.
The 95% confidence interval for the mean of gas mileage for this vehicle is (S - 1.53, S + 1.53), in which S is the mean of the sample of 20.
Use the graph to help you answer this question
4
6
Point A(2, 1) partitions OR in the ratio of 3 to 2. The coordinates of point Q are (-4,-5). What are the coordinates of point R?
(-2,-3)
0 (4,3)
(6,5)
(0-2)
Answer:
Coordinates of point R = (6,5)
Step-by-step explanation:
Given;
Point A(2 , 1)
Q(-4 , -5)
m1:m2 = 3 : 2
Find:
Coordinates of point R
Computation:
X = [(m1)(x2) + (m2)(x1)] / (m1 + m2)
2 = [(3)(x2) + (2)(-4)] / (3 + 2)
2 = [3x2 - 8] / (5)
10 = [3x2 - 8]
3x2 = 18
x2 = 6
Y = [(m1)(y2) + (m2)(y1)] / (m1 + m2)
1 = [(3)(y2) + (2)(-5)] / (3 + 2)
1 = [3x2 - 10] / (5)
5 = [3x2 - 10]
3y2 = 15
y2 = 5
Coordinates of point R = (6,5)
the sum of 2 numbers is 65 and the difference is 7
Answer:
Hello There!!
Step-by-step explanation:
The answer is=>The sum is x + y = 65
The difference is x - y = 7 .....x = 7 + y
7 + y + y = 65
7 + 2y = 65
2y = 58
y = 29
x + y = 65
x + 29 = 65
X = 36
The Sum: 36 + 29 = 65
The Difference: 36 - 29 = 7
hope this helps,have a great day!!
~Pinky~
Answer:
36 and 29
Step-by-step explanation:
The sum of the two numbers is 65 and their difference is 7. What are the two numbers? Let's start by calling the two numbers we are looking for x and y.
The sum of x and y is 65. In other words, x plus y equals 65 and can be written as equation A:
x + y = 65
The difference between x and y is 7. In other words, x minus y equals 7 and can be written as equation B:
x - y = 7
Now solve equation B for x to get the revised equation B:
x - y = 7
x = 7 + y
Then substitute x in equation A from the revised equation B and then solve for y:
x + y = 65
7 + y + y = 65
7 + 2y = 65
2y = 58
y = 29
Now we know y is 29. This means that we can substitute y for 29 in equation A and solve for x:
x + y = 65
x + 29 = 65
X = 36
Summary: The sum of two numbers is 65 and their difference is 7. What are the two numbers? Answer: 36 and 29 as proven here:
Sum: 36 + 29 = 65
Difference: 36 - 29 = 7
Randy took a standardized test that is normally distributed. He scored a 105 on the test. The nationwide mean score on the test was 94 and the standard deviation was 6.2. What percent of the tested population scored higher than Randy on the test? Round to the nearest whole percent.
Answer:
4% of the tested population scored higher than Randy on the test
Step-by-step explanation:
P(X>105) = normalcdf(105,1e99,94,6.2) = 0.0380155219 ≈ 0.038 ≈ 3.8% ≈ 4%
Therefore, about 4% of the tested population scored higher than Randy on the test.
KAJSKSKSKWKWKSKSKSKSKSKSKSKSKR
Answer:
ok
Step-by-step explanation:
y=x+5
please help me with this problem I'm really struggling to answer the question.
Answer:12
Step-by-step explanation:just know i did it and got it right
Triangle ABC has vertices A(1, 3), B(–2, –1) and C(3, –2). What are the coordinates of the triangle after the reflection over the line x = y?
Answer:
a(3,1)
b(-1,-2)
c(-2,3)
Step-by-step explanation:
Is this triangle acute, right, or obtuse?
NEED HELP WITH THIS!!!!!! 50 points!!!!!!
A. Acute
B. Right
C. Obtuse
Answer:
acute
hope this helps
have a good day :)
Step-by-step explanation:
9. When the sun makes an angle of o above the horizon, a building casts a shadow 17 feet long
What function models the height of the building?
How high is the building if 0 = 38°
(pic included) pls help me
Answer:
A. tan 38° = opposite/adjacent
opposite = (tan 38°)(adjacent)
opposite = (0.31)(17 ft)
opposite = 5.27 ft
B. height is = 5.27 ft
The models the height of the building is y = 17 tanθ and if θ=38° then the height is 13.28 feet
ModelA mathematical model is a linguistic and mathematical concepts-based description of a system. Mathematic modeling is the process of creating a mathematical model.
How to find the model?(A) Give the building and is shadow is 17 feet and make θ.
then the relation is tanθ =y/17
So y = 17 tanθ
(B) If the is angle is 38°
then
tan38° =y/17
0.7813 = y/17
y = 13.28 feet
Hence the model is tanθ and when the angle is 38° the value of y is 13.28 feet.
Learn more about the model here- brainly.com/question/24448358
#SPJ2.
My usual workout consists of running 10 laps around a 400 meter track. If I go to a track that is only 250 meters long, how many laps will I need to run to get the same workout?
100 POINT QUESTION!!!
Answer:
16 laps
Step-by-step explanation:
400x10=4000
4000÷250=16
How many solutions does the equation 2x -1 = x + x -1 have ?
Answer:
Infinite solutions
Step-by-step explanation:
2x -1 = x + x -1
2x=x+x
2x=2x
50 POINTS !!
PLEASE HELP !! ILL GIVE BRAINLIEST TO THE RIGHT ANSWERS.
Answer:
c = 6.4
Step-by-step explanation:
need help with this one too
Answer:
B.
Step-by-step explanation:
Don't doubt me... jwust twust me
50+50+8x+8=180
180-108=8x
x=9
Ur lucky... I explained
Pweeeeeeeeeeeeese mwake me da bwainliestttttttttttt
3 Select the correct answer. Which measure of center is the most appropriate for this data set? 20, 6, 42, 13, 15, 10, 9, 12, 12
A mean
B median
C mode
D mean absolutely median
Answer:
B median
Step-by-step explanation:
The median is the center of any data set
9). Four friends earned $4.20 for washing a car. They decided to split the money equally. How much money did each friend get?
Answer:
1.05
Step-by-step explanation:
Answer: $1.05
Step-by-step explanation:
I think this answer is correct because, all we have to do here is divide 4.20 by 4 (because there is 4 friends and they each get an equal amount.) So 4.20 divided by 4 equals 1.05.
Hope This Helps!
Lee Ran 100 meteres in 28.45 seconds. Jackie ran 100 meters in 30.29 seconds. How Much Longer did it take jackie than lee to run 100 meters?
Will Mark Brainliest if someone answer’s ,No Link’s
Answer:
1.84 meters
Step-by-step explanation:
Jackie: 30.29 meters - Lee: 28.45 meters = 1.84 meters
PLS HELP WILL ONLY GIVE BRAINLY IF STEPS ARE INCLUDED
(2x-2)(2x-2)(2x-2)
Answer:
8^3−24^2+24−8
Step-by-step explanation:
If you search the equation up it tells you the answer is 8^3−24^2+24−8 and shows you the steps. (I’m sorry. I just didn’t have the patience to write out all the steps.)
Find the base of a parallelogram with height 11.8 millimeters and an area of 151.04 square millimeters.
Answer:
12.8
Step-by-step explanation:
D What is the constant rate of change shown in the graph below?
2
3
0.5
1
Answer: 3
Step-by-step explanation:
HELP please!!!!!!!!!!!
Answer:
Step-by-step explanation:
Explain what circumference and area have in common
and how they are different.
Answer:
They both have pie in the formula
Step-by-step explanation:
Answer:
Circumference is the distance around a circle, or the perimeter. Area is the space inside the circle. Area has square units, circumference does not. They both have π in the formula.
A scalar pipeline has 4 pipeline stages A, B, C, D. An operand entering this pipeline must be processed by the four units A-> B -> C -> D. Suppose that units A, B , D takes 2 ns to process an operand, and unit C takes 3 ns to process an operand. How many ns does it take for this scalar pipeline to process 1000 independent operations?
Answer:
The answer is "3006 ns"
Step-by-step explanation:
The time is taken by [tex]a,b, D = 2\ ns[/tex]
taking time [tex]= 3 \ ns[/tex]
first taking time [tex]= 2\times 3+3= 6+3=9[/tex]
Calculating the Rest taking 3 ns to process
For 1000:
[tex]= 9+ 3\times 999\\\\= 9+2997\\\\=3006\ ns[/tex]
Please help me I need to pass this
Answer:
5
-7
36
Step-by-step explanation:
if the center is (5,-7) the first part must look like
(x-5)²+(y+7)²
to find the raidus plug in 5 for x and -1 for y
(5-5)²+(-1+7)²
0²+6²=36
36
At which value in the domain does f(x) = 0?
2
2
4
Answer:
4
Step-by-step explanation:
factor the expression 8q^6r^3+27s^6t^3
Answer:
(2q^2r+3s^2t)(4q^4r^2-6q^rs^2t+9s^4t^2)
Step-by-step explanation:
app said so... 0_0
Bob and Lashonda want to find the mean weight of cats at their local pet adoption center. So they each randomly select cats at the shelter and measure the weights.
The results are shown below (in pounds). Use the data to answer the questions.
Bob's sample:
15, 8, 20, 9, 12, 19
Lashonda's sample:
8, 6, 10, 11
(a) What is the sample size for Bob's sample?
(b) What is the sample size for Lashonda's sample?
(c) Suppose you had to choose one sample to estimate the mean.
Which sample is more likely to give a good estimate of the mean?
A: Bob's sample
B: Lashonda's sample
Why?
A: It has the smaller mean.
B: It has the larger mean.
C It has the smaller sample size.
D It has the larger sample size.
Answer:
(a): 6. (b): 4. (c). Bob's sample, as it has a larger sample size.
Can someone answer this please I don’t understand
Answer:
3x+2x+a=180 degree(being linear pair)
5x+25=180
5x=180-25
x=155/5
x=31
Step-by-step explanation:
I NEED HELP it's due today! Giving out BRAINLIEST & 30 POINTS!
~Rules~
a. SHOW WORK/CHECK ANSWER
b. NO FILES/LINKS
c. NO SILLY ANSWER
~Hocus Pocus
Answer:
see below
Step-by-step explanation: 5 20 21 02
There are 5 areas to calculate
Top = LW = (20)(17)
Bottom = LW = (20)(15)
Back = LW = (20)(8)
2 Triangular Ends = One square = LW = (8)(15)
Total Surface Area = (20)(17) + (20)(15) + (20)(8) + (8)(15)
= (20)(17 + 15 + 8) + (8)(15)
= (20)(40) + (8)(15)
= 800 + 120
= 920 ft²