Answer:
Step-by-step explanation:
angle P=angle R(being vertically opposite angle)
angle P=38 degree
angle P + angle Q=180 degree(given they are supplementary angles)
38 + angle Q=180
angle Q=180-38
angle Q=142 degree
The mean daily production of a herd of cows is assumed to be normally distributed with a mean of 36 liters, and standard deviation of 7 liters.
A) What is the probability that daily production is less than 23.4 liters? Use technology (not tables) to get your probability.
Answer=
(Round your answer to 4 decimal places.)
B) What is the probability that daily production is more than 45.7 liters? Use technology (not tables) to get your probability.
Answer=
(Round your answer to 4 decimal places.)
Answer:
A) 0.0359
B) 0.0829
Step-by-step explanation:
A) Using normalcdf on your calculator, or using something online, you can plug (-1000, 23.4, 36, 7) to represent the lower bound, upper bound, mean, and standard deviation respectively. The probability that daily production is less than 23.4 liters is 0.0359
B) Similarly, we can plug (45.7, 1000, 36, 7) in as the upper bound is infinity, and the lower bound if 45.7. Our answer is then 0.0829
One side of triangle is 5x-2 another side is 6x+7 and t is the length of third side then what is true about length of t
Answer:
[tex]t = \sqrt{ {(5x - 2) {}^{2} + (6x + 7)}^{2} } [/tex]
100 POINTS
Solve for x.
−12x+13>35
Drag and drop a number or symbol into each box to correctly complete the solution.
Answer:
answer is <-8/5
and x <-22/12
(a+4)(a-2) please help
Answer:
a²+2a-8
Step-by-step explanation:
Simplify the expression:
7–3p+4p
Answer:
7 + p
Step-by-step explanation:
Solve:
7 - 3p + 4p
Simplify using like terms
Wrote problem using addition
7 + ( -3p + 4p)
7 + 1p or 7 + p
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
Answer and Step-by-step explanation:
The simplified expression is:
7 + p
because we subtract 3p from 4p.
#teamtrees #PAW (Plant And Water)
It is believed that 25% of U.S. homes have a direct satellite television receiver. How large a sample is necessary to estimate the true population of homes which do with 95% confidence and within 3 percentage points?
Answer:
A sample of 801 is needed.
Step-by-step explanation:
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]1-\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]1 - \frac{\alpha}{2}[/tex].
The margin of error is of:
[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
95% confidence level
So [tex]\alpha = 0.05[/tex], z is the value of Z that has a p-value of [tex]1 - \frac{0.05}{2} = 0.975[/tex], so [tex]Z = 1.96[/tex].
25% of U.S. homes have a direct satellite television receiver.
This means that [tex]\pi = 0.25[/tex]
How large a sample is necessary to estimate the true population of homes which do with 95% confidence and within 3 percentage points?
This is n for which M = 0.03. So
[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
[tex]0.03 = 1.96\sqrt{\frac{0.25*0.75}{n}}[/tex]
[tex]0.03\sqrt{n} = 1.96\sqrt{0.25*0.75}[/tex]
[tex]\sqrt{n} = \frac{1.96\sqrt{0.25*0.75}}{0.03}[/tex]
[tex](\sqrt{n})^2 = (\frac{1.96\sqrt{0.25*0.75}}{0.03})^2[/tex]
[tex]n = 800.3[/tex]
Rounding up:
A sample of 801 is needed.
What would this shape be folded?
It would be a rectangular prism
Study the given data set. {77,4,62,10,45,9,38,80,2}. What is the standard deviation of the data?
Answer:
29.7 is the standard deviation :)
Which of the following is a sinusoid? A. y = cos(x) - 2 B. x^2 + y^2 = 1 C. y = 3sqrtx D. x^2/3+y^2/6=1
Answer:
A. y = cos(x) - 2
Step-by-step explanation:
The word "sinusoid" means the graph has a shape of the sine function that smoothly goes up and down.
However, the cosine function also has the same shape but the only thing is that it is horizontally translated. Thus, the cosine function is the sinusoid.
Using the image find the slope of the lineReduce all fractions and enter using a forward slash (i.e. "/). If the slope is undefined, enter "undefined."
Answer:
2
Step-by-step explanation:
find the slope of a line from a graph following those steps
-pick any two points on the graph that belong to the line,
for example (1,1) and (2,3)
-find out how did you get from one point to the other
to get from (1,1) to (2,3) I went 2 up (rise) and 1 to the right (run)
slope= rise /run = 2/1 =2
Few things to keep in mind:
-To find the slope, always move vertical first (y-axis) and than horizontal( x-axis) , because m=change in y/change in x
-For vertical movement, moving up is positive , moving down is negative
For horizontal movement, moving right is positive , moving left is negative
The girls in Lana’s troop set a goal to sell 1,000 boxes of cookies this year. There are 13 girls in the troop. At least how many boxes of cookies should each girl sell to reach their goal?
Answer:
77
Step-by-step explanation:
Each girl would have to sell at least 77 boxes of cookies to get over 1,000.
1000 boxes divided by 13 girls is 76.9230... but round up to 77.
Check answer by multiplying 13 by 77 and you get 1,001.
:) ur welcome
Answer:
77 boxesStep-by-step explanation:
Let each cell x boxes, then the sum is:
13x ≥ 1000x ≥ 1000/13x ≥ 76.9 ≈ 77A system of linear equations is graphed. Which ordered pair is the best estimate for the solution to the system? (0, −2) (−412, 212) (−4, 212) (0, 7)
Answer:
(0,-2)
Step-by-step explanation:
It would be (0,-2) because that is the only one in the solution range,. Solution range is everything above the intersection that is not outside line.
The solution of graphed equations is (-4, 2 1/2).
What is Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
From the graph, we have the following highlights.
The x-coordinate of the point of intersection is close to 4
The y-coordinate of the point of intersection is close to 2 1/2.
So, the coordinates can be estimated to be -4 and 2 1/2
Learn more about system of equations here:
brainly.com/question/14677018
#SPJ5
The diameter of our solar system (depending on how you define “solar system”) is about 8,980,000,000,000 kilometers. The distance from our solar system to the nearest star, Proxima Centauri, is about 39,900,000,000,000,000 kilometers. A light-year is the distance light travels in one year, and it is equal to about 9,460,000,000,000 kilometers. a) Write each of these numbers in scientific notation. Explain how you got your answers, and explain why you know that your method works. b) You’d like to both know the end-to-end distance within the solar system and the distance to Proxima Centauri in light-years. Using your scientific notation numbers, convert these distances. What is the ratio of the solar system’s length to the Proxima Centauri distance? c) Light travels at 300,000 kilometers per second. Write this rate in scientific notation. When Proxima Centauri sends out light at that speed, how long does it take to reach our solar system? Can you convert to minutes, hours, days, or years? Does your answer in years correspond to the distance in light-years from our solar system to Proxima Centauri? Why or why not?
Answer:
Step-by-step explanation:
Place a decimal point to the right of the first real number. write the real number with decimal point
Then count the number of places after the decimal point and this with the power of ten. For example, in diameter of solar system, after keeping decimal after 8, there are 12 places. so power of 10 is 12
a) 8,980,000,000,000 kilo meters. = 8.98 * 10¹² km
39,900,000,000,000,000 kilo meters = 3.99* 10¹⁶ km
9,460,000,000,000 kilo meters = 9.46 * 10¹² km
b)the distance to Proxima Centauri in light-years = 3.99* 10¹⁶ 9.46 * 10¹²
= 0.4218 * 10⁽¹⁶⁻¹²) = 0.4218 * 10⁴
= 4.218 * 10³ light year
c) Speed of light= 3 * 10⁵ km per second
Help! Possess I will give brainiest!!!!!!!!!!!!!!!!!!!!!!!
Answer:
[tex]\frac{2}{9}[/tex]
Step-by-step explanation:
Since both fractions have a different denominator, we need to look for a common denominator.
[tex]\frac{1}{3}=\frac{3}{9}[/tex] Multiply 3 in both numerator and denominator
[tex]\frac{5}{9} -\frac{3}{9} =\frac{2}{9}[/tex]
Hence, 2/9 is the answer
i need help identifying solutions
Answer:
3,1 I'm pretty sure lol....
Which of the following points would be a solution to the system of inequalities shown below
y>2x+1
y<-3/4x-2
A. (0,1)
B. (-5, -3)
C. (5,-3
Answer:
the answer would be C
Step-by-step explanation:
if you replace y with 5 and x with -3 they should make the equations "solvable"
(easy math question please help) find the value of x question #8
Answer:
X = 2
Step-by-step explanation:
44 + 104 + (18+7x) = 180
Simplify
The measures of the angles in triangle UVW are shown in the diagram below.
Answer:
(B) 39°
Step-by-step explanation:
30° + 24° + (3x -9°) = 180°
3x = 180° - 30° - 24° + 9°
3x = 117°|:3
x = 39°
The difference between two positive numbers is 18.
Answer:
9+9=18
Step-by-step explanation:
as they are positive numbers so by adding it we get 18
A girl work a works a basic week of 40 hours,and her basic rate is 6.25per hour .calculate her basic wage for that week
Answer:
250
Step-by-step explanation:
Basic wage is 40 * 6.25
Answer:
40x6.25=250
Step-by-step explanation:
She makes 6.25 per hour
she works 40 hours
Multiply the two to find how much she made in a week, not a day
someone knows thiss?
Find the slope of the line passing through the points (3,16) (8,18)
A) 2/5
B)-5/2
C)5/2
D)-2/5
Answer:
2/5
Step-by-step explanation:
Slope of line is also called the gradient of line.
The formula of gradient of a straight line is always (y1-y2)/(x1-x2)
A cyclist rides at a constant speed, traveling 52 miles in 2.25 hours. Write a proportion that gives the number x of hours it takes the cyclist to ride 114 miles. I’ll give 30 points
Answer:
4h55m57.69ssss
Step-by-step explanation:
2,25×114÷52
Can someone help me please I need the mode, median, range and the mean.?
Answer:
First the mode. Since 5 popped up the most, 5 is the mode.
Next is the median. I crossed 1 dot from each side until it shows the last dot, and 5 was the last one.
After that the range. 9-2=7
Finally the worst, the mean... 2+2+3+3+3+4+5+5+5+5+5+6+6+6+8+9+9+9+9
=104/19=5.47
SO, Mode=5 Median=5 Range=7, and the mean is 5.47 (rounded nearest hundred)
if the coordinates are ( -1 , 5) and moved 9 units to the left what is the final answer?
Answer:
Directions: Write the new coordinates for each point or figure.
Sample Question:
Point F has the coordinates (-9,6). What are the coordinates of its image point after the translation of six units down and three units to the left?
Answer:
The coordinates of its image point after the translation are (-12, 0).
Explanation: When you look at an ordered pair the x number comes first, followed by the y number (x,y). Moving a point left or right changes the x number. Moving a point up or down changes the y number. Left and down require subtraction, while right and up require addition. In the sample, we had to go 3 units to the left, -9 - 3 = -12. We also had to go 6 units down, so 6 - 6 = 0.
Point Q has the coordinates (9,5). What are the coordinates of its image point after a translation of six units up and three units to the right?
Point P has the coordinates (3,4). What are the coordinates of its image point after a translation of 8 units down and 5 units to the left?
Point Z has the coordinates (10,7). What are the coordinates of its image point after a translation of six units down and three units to the right?
Point Y has the coordinates (0,-4). What are the coordinates of its image point after a translation of 10 units up and 3 units to the left?
Point X has the coordinates (3,-8). What are the coordinates of its image points after a translation of 11 units down and 10 units to the right?
Answer:
(-10,5)
Step-by-step explanation:
Does anyone know how to solve this equation?
9514 1404 393
Answer:
$80
Step-by-step explanation:
You are given the formula ...
P = I/(rt)
and the values I = 20, r = 0.05, t = 5.
Put the numbers in place of the corresponding variables and do the arithmetic.
P = 20/(0.05·5) = 20/0.25 = 80
The amount $80 will generate $20 in interest over 5 years at 5% per year.
Determine the distance between the points (2,7) and (-4,15)
Answer:
option C
Step-by-step explanation:
[tex]distance = \sqrt{(x_2-x_1)^2 + (y_2-y_1)^2}[/tex]
[tex]=\sqrt{(-4-2)^2+(15-7)^2} \\\\=\sqrt{(-6)^2 + 8^2}\\\\=\sqrt{36 + 64 }\\\\= \sqrt{100} \\\\= 10[/tex]
2. Denise took out a $16 000.00 loan from the bank to help pay for university. The bank offered an
annual interest rate of 5.6% compounded quarterly over a 3-year term. The entire loan is repaid
at the end of the 3-year term. Determine the total amount that Denise had to pay back.
Fernando invested money in a 5-yr CD (certificate of deposit) that returned the equivalent of 3.3% simple interest. He invested S1000 less in a 18-month CD
that had a 2% simple interest return. If the total amount of interest from these investments was $945.00, determine how much was invested in each CD.
Answer:
Fernando invested $ 5000 on the 5-year CD and $ 4000 on the 18-month CD.
Step-by-step explanation:
Since Fernando invested money in a 5-yr CD (certificate of deposit) that returned the equivalent of 3.3% simple interest, and the invested $ 1000 less in a 18-month CD that had a 2% simple interest return, if the total amount of interest from these investments was $ 945.00, to determine how much was invested in each CD the following calculation must be performed:
3.3 x 5 = 16.5
2 x 1.5 = 3
4000 x 0.165 + 3000 x 0.03 = 750
6000 x 0.165 + 5000 x 0.03 = 1140
5000 x 0.165 + 4000 x 0.03 = 945
Therefore, Fernando invested $ 5000 on the 5-year CD and $ 4000 on the 18-month CD.
The points (-6, r)
and
(6,3) lie on a line with slope 3/4. Find the missing coordinate r.
Answer:
r = -6
Step-by-step explanation:
Equation of a line:
The equation of a line has the following format:
[tex]y = mx + b[/tex]
In which m is the slope and b is the y-intercept.
Slope 3/4
This means that [tex]m = \frac{3}{4}[/tex], and thus:
[tex]y = \frac{3}{4}x + b[/tex]
(6,3)
This means that when [tex]x = 6, y = 3[/tex]. We use this to find b. So
[tex]y = \frac{3}{4}x + b[/tex]
[tex]3 = \frac{3}{4}(6) + b[/tex]
[tex]b = 3 - \frac{18}{4} = \frac{12}{4} - \frac{18}{4} = -\frac{6}{4}[/tex]
So
[tex]y = \frac{3}{4}x - \frac{6}{4} = \frac{3x - 6}{4}[/tex]
(-6, r)
r is y when [tex]x = -6[/tex]. So
[tex]y = \frac{3(-6) - 6}{4} = -6[/tex]
So r = -6.
