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Answer:
1.767 gal/min
Step-by-step explanation:
The flow rate in gallons per minute is found by dividing gallons by minutes.
(10.6 gal)/(6 min) ≈ 1.767 gal/min
help, please!
find x
This shape consists of two primary special triangles, 30-60-90 and 45-45-90.
the side with the 60° will be half of the hypotenuse because 30° is across from it.
the side with the 30° will be 5.5√3 because 60° is across from it, and any sides that has 60° across from it is associated with a √3.
x is 5.5√6 because any sides that is "below" the 45° angles are associated with a √2 times the side that's above the 45°
Help me out!! Anyone
Answer:
4:10
Step-by-step explanation:
if they have to wait for plane B and it arrives every 10 mins then 4:10 is the anser
Kevin baked 44 cookies. His family ate d of them. Using d, write an expression for the number of cookies that remained
Answer:
44-d
Step-by-step explanation:
Take the total number of cookies and subtract the number eaten. That is the number remaining
44-d
4) (20 pts) A box contains 5 apples and 6 oranges. Four children each receive a fruit from the box, one after the other, randomly chosen, without replacement. What is the probability that all four children receive the same fruit
Answer:
Probability of an event = Number of outcomes favourable to that event/ Number of all possible outcomes.
The set of all possible outcomes is called the sample space and is denoted by S.
Any 3 fruits out of 11 in the box can be randomly selected in 11C3= (11x10 x 9)/(1 x 2x3) = 165 ways. Hence n(S) = 165.
We want the desired event E that the 1 fruit of each type is chosen. Now 1 apple out of 5 can be chosen in 5C1 = 5 ways, 1 out of 4 oranges in 4C1 = 4 and 1 banana out of 2 in 2C1 = 2 ways. Therefore, by fundamental counting principle, one of each type of fruit can be chosen in 5x4x2 = 40 ways So n(E) = 40.
Hence the probability of getting three fruits one of each type is = n(E)/ n(S) = 40/165 = 8/33.
The probability that all four children receive the same fruit is 2/33.
What is Probability?Probability refers to potential. A random event's occurrence is the subject of this area of mathematics.
The range of the value is 0 to 1. Mathematics has incorporated probability to forecast the likelihood of various events.
The degree to which something is likely to happen is basically what probability means.
Given:
We have 5 apples and 6 oranges.
So, if we choose 4 apples then the probability can be
= 5 /11 x 4/10 x 3/9 x 2/8
= 120/ 7920
and, if we choose 4 oranges then the probability can be
= 6/11 x 5/10 x 4/9 x 3/8
= 360/ 7920
Thus, the combined probability
= 120/7920 + 360/7920
= 480/ 7920
= 2/33
Learn more about Probability here:
https://brainly.com/question/11234923
#SPJ6
Select the line segment.
O A.
P
OB.
R
S
Ос.
M
N
OD.
G
H
Answer: Choice A
Explanation: A segment (or line segment) is whenever we have two endpoints connected with a straight line. It does not go on forever in either direction.
Answer:
Step-by-step explanation:
B is a ray. One of its ends is stationary.
C is an arc which means it bends
D is a line.
That means that A is the answer. Both its ends are stationary.
Find the sum of the first 274 natural numbers.
Answer:
37675
Step-by-step explanation:
ummm what is did was
274/2 = 137
and then times that by 275
because
274+1 = 275
273+2 = 275
...
137+137 = 275
so the ans is 137(275) which is equal to 37675
Where r is the radius of the cone's base and h is the height of the cone. Find the approximate volume of a
cone when r is 4 inches and his 3 inches.
Use volume of cone formula
Answer:
The volume of this cone is V = 50 (~50.27)
(I'm assuming that 'his' is height?)
Answer: 50
Step-by-step explanation:
Find x (round to the nearest tenth)
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Answer:
x = 8
Step-by-step explanation:
By AA similarity, ΔABD ~ ΔCDE. So, corresponding sides are proportional.
AB/BD = CD/DE
x/12 = 4/6
x = 12(4/6)
x = 8
A study was performed to determine the percentage of people who wear life vests while out on the water. A researcher believed that the percentage was different for those who rode jet skis compared to those who were in boats. Out of 400 randomly selected people who rode a jet ski, 86.5% wore life vests. Out of 250 randomly selected boaters, 92.8% wore life vests. Using a 0.10 level of significance, test the claim that the proportion of people who wear life vests while riding a jet ski is not the same as the proportion of people who wear life vests while riding in a boat. Let jet skiers be Population 1 and let boaters be Population 2.
Step 2 of 3:
Step 1 of 3:
State the null and alternative hypotheses for the test. Fill in the blank below.
H0Ha: p1=p2: p1⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯p2H0: p1=p2Ha: p1_p2
Step 3 of 3:
Draw a conclusion and interpret the decision.
Compute the value of the test statistic. Round your answer to two decimal places.
From the test the person wants, and the sample data, we build the test hypothesis, find the test statistic, and use this to reach a conclusion.
This is a two-sample test, thus, it is needed to understand the central limit theorem and subtraction of normal variables.
Doing this:
The null hypothesis is [tex]H_0: p_1 - p_2 = 0 \rightarrow p_1 = p_2[/tex]The alternative hypothesis is [tex]H_1: p_1 - p_2 \neq 0 \rightarrow p_1 \neq p_2[/tex]The value of the test statistic is z = -2.67.The p-value of the test is 0.0076 < 0.05(standard significance level), which means that there is enough evidence to conclude that the proportion of people who wear life vests while riding a jet ski is not the same as the proportion of people who wear life vests while riding in a boat.-------------------
Central Limit Theorem
The Central Limit Theorem establishes 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 between normal variables:
When two normal variables are subtracted, the mean is the difference of the means, while the standard deviation is the square root of the sum of the variances.
-------------------------------------
Proportion 1: Jet-ski users
86.5% out of 400, thus:
[tex]p_1 = 0.865[/tex]
[tex]s_1 = \sqrt{\frac{0.865*0.135}{400}} = 0.0171[/tex]
Proportion 2: boaters
92.8% out of 250, so:
[tex]p_2 = 0.928[/tex]
[tex]s_2 = \sqrt{\frac{0.928*0.072}{250}} = 0.0163[/tex]
------------------------------------------------
Hypothesis:
Test the claim that the proportion of people who wear life vests while riding a jet ski is not the same as the proportion of people who wear life vests while riding in a boat.
At the null hypothesis, it is tested that the proportions are the same, that is, the subtraction is 0. So
[tex]H_0: p_1 - p_2 = 0 \rightarrow p_1 = p_2[/tex]
At the alternative hypothesis, it is tested that the proportions are different, that is, the subtraction is different of 0. So
[tex]H_1: p_1 - p_2 \neq 0 \rightarrow p_1 \neq p_2[/tex]
------------------------------------------------------
Test statistic:
The test statistic is:
[tex]z = \frac{X - \mu}{s}[/tex]
In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, and s is the standard error.
0 is tested at the null hypothesis.
This means that [tex]\mu = 0[/tex]
From the samples:
[tex]X = p_1 - p_2 = 0.865 - 0.928 = -0.063[/tex]
[tex]s = \sqrt{s_1^2 + s_2^2} = \sqrt{0.0171^2 + 0.0163^2} = 0.0236[/tex]
The value of the test statistic is:
[tex]z = \frac{X - \mu}{s}[/tex]
[tex]z = \frac{-0.063 - 0}{0.0236}[/tex]
[tex]z = -2.67[/tex]
The value of the test statistic is z = -2.67.
---------------------------------------------
p-value of the test and decision:
The p-value of the test is the probability that the proportion differs by at at least 0.063, which is P(|z| > 2.67), given by 2 multiplied by the p-value of z = -2.67.
Looking at the z-table, z = -2.67 has a p-value of 0.0038.
2*0.0038 = 0.0076.
The p-value of the test is 0.0076 < 0.05(standard significance level), which means that there is enough evidence to conclude that the proportion of people who wear life vests while riding a jet ski is not the same as the proportion of people who wear life vests while riding in a boat.
A similar question is found at https://brainly.com/question/24250158
I need help with the questions that are blank
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Answer:
TRIANGLES
Possible
4) Yes
Unique
1) No
2) No
3) Yes
3D SHAPES
Step 2: triangle area 8.75 ft²; total area 52.5 ft²
Step 3: TOTAL AREA = 52.5 ft² + 31.5 ft² = 84 ft²
Step-by-step explanation:
TRIANGLESPossible Triangles
The requirement on side lengths is that the sum of the short two exceed the longest.
4) 5 + 6 = 11 > 7 . . . . Yes, can form a triangle
__
Unique Triangles
The available congruence theorems are a good starting point for determining if a triangle is unique. If you have side and angle definitions that correspond to AAS, ASA, SAS, SSS, or HL, then the triangle is uniquely determined.
You will notice that SSA is not on this list. However, there are special cases where SSA can be used. If the given angle is opposite the longest given side, then the triangle is uniquely determined. (You will notice that this is the case in an HL triangle, where the given H side is opposite the right angle.)
1) SSA; angle is opposite the short side — triangle is not unique
2) AAA; no side is given — triangle is not unique
3) SAS; — triangle is unique
__
3D SHAPESStep 2: The area is 1/2bh = 1/2(3.5 ft)(5 ft) = 8.75 ft². The area of all triangles together is 6×8.75 ft² = 52.5 ft².
Step 3: TOTAL AREA = 52.5 ft² + 31.5 ft² = 84 ft².
0.3,1/5,1/2,0.706,7/8,57.1%
Place following in ascending order
Answer:
the answer is 0.31/ 5.1/8.57.1% /207067
Step-by-step explanation:
ascending order from the smallest to the largest
PLEASE HELP
Solve the equation for y. Identify the slope and y-intercept then graph the equation.
Y=-3x+1
Y=
M=
B=
Please Include a picture of the graph and show your work if you can
The equation is already solved for y
It's in y = mx+b form where
m = -3 = slope
b = 1 = y intercept
The graph is shown below. It's a straight line through the two points (0,1) and (1,-2).
Note that (0,1) is the y intercept. We use the slope = -3 = -3/1 to move 3 units down and 1 unit to the right to arrive at (1,-2).
How many times greater is
3.8 X 10^5 than
1.9 X 10^2
2
20
200
2000
Answer:
2 * 10^3 = 2000.
Step-by-step explanation:
3.8/1.9 * 10^5/10^2
= 2 * 10^3
in a fruit punch drink,the 3 ingredients are apple juice,orange juice and cramberry juice.if 3/4 of the drink is apple juice and 1/10 is orange juice then write the ratio of cranberry juice to apple juice to orange juice in its simplest form
Answer:
3 : 15 : 2
Step-by-step explanation:
Let cranberry juice = x,
3/4 + 1/10 + x = 1
x = 3/20
Ratio = cranberry : apple : orange
= 3/20 : 3/4 : 1/10
= 3 : 15 : 2 (Times everything with 20)
Indigo Company had cash sales of $78,120 (including taxes) for the month of June. Sales are subject to 8.5% sales tax. how to record the sale ?
Answer:
Step-by-step explanation:
Sales revenue x (100%+sales tax rate) = total sales including tax
sales revenue x 1.085 (100% + 8.5%) = 78120
sales revenue = 78120/1.085
sales revenue = 72000
total sales including tax - sales revenue = sales tax
78120 = 72000 = 6120
Journal entry:
cash. 78120
Sales revenue. 72000
Sales tax payable. 6120
Company A charges a $125 annual fee plus $7 per hour car share fee.
Company B charges $110 plus $10 per hour. What is the minimum number of
hours that a car share needs to be used per year to make company A a better
deal?
A. 6
O Ο Ο
B. 5
C. 9
D. 11
SUBMIT
PREVIOUS
Answer:
6 hours
Step-by-step explanation:
A: y=125+7x
B: y=110+10x
for A to be a better deal than B, 125+7x<110+10x has to be true
subtract 7x from both sides and subtract 110 from both sides of the inequality: 15<3xdivide by 3: 5<xso x has to be greater than 5, im pretty sure it's 6 hours but it might also be 5 depending on how it's taught for youAnswer:
B 5
Step-by-step explanation:
Company A
total cost = 125+7h where h is the number of hours
Company B
total cost = 110 + 10h where h is the number of hours
125 + 7h < 110 + 10h
Subtract 7 h from each side
125 + 7h-7h<110+10h-7h
125 < 110+3h
Subtract 110 from each side
125-110< 110+3h
15 <3h
Divide by 3
15/3 <3h/3
5 <h
More than 5 hours
What is the range of the function?
{(1.2, 11.6), (3.6, 11.5), (1.9, 11.4), (2.7, 11.5)}
Answer:
Range: 10.4
Step-by-step explanation:
Range = maximum(xi) - minimum(xi), where xi represents the set of values
= 11.6 - 1.2
= 10.4
Answer:
Range-
{
11.6
,
11.5
,
11.4
}
Step-by-step explanation:
Don’t understand this problem
Answer: I'm not Einstein sorry
Step-by-step explanation:
Have to be smart as Einstein.................Which I'm not
Josh has 4 times as many pears as leya, who has one half as many pears as amy. If josh has 32 pears how many does amy have?
Answer:
josh = 32
leya = 8
amy =4
Step-by-step explanation:
32 pears
Josh = 4l
leya = a/2
Amy = ?
L =8
A = 4
Check answer:
josh = 32
leya = 8
amy =4
Josh has 4 times as Leya True
Leya has half as many pears as Amy True
Step-by-step explanation:
Let J represent the number of pears Josh has.
Let L represent the number of pears Leya has.
Let A represent the number of pears Amy has.
From the question given above,
Josh (J) = 4 × Leya (L)
J = 4L ....... (1)
Leya (L) = ½ × Amy (A)
L = ½A ........ (2)
Next, we shall determine the number of pears Leya has. This can be obtained as follow:
From equation 1
J = 4L
But
Josh (J) = 32 pears
Thus,
32 = 4L
Divide both side by 4
L = 32 / 4
Leya (L) = 8 pearsFinally, we shall determine the number pears Amy has. This can be obtained as follow:
From equation 2
L = ½A
But
Leya (L) = 8 pears
Thus,
8 = ½A
Cross multiply
A = 8 × 2
Amy (A) = 16 pearsTherefore, Amy has 16 pears.
Learn more: https://brainly.com/question/20971657
Can anyone help me with this answer?
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Answer:
D
Step-by-step explanation:
Do this multiplication the same way you would for integers. The "place value" of a column is the power of x for that column.
The sum of partial products matches answer choice D.
_____
Additional comment
We used a spreadsheet because it provides a nice grid for aligning rows and columns. If you want to have the spreadsheet do the multiplication and sum, you need to leave out the variables. Here, we did the multiplication and sum mentally and used the spreadsheet simply to record the result.
What is the y value when x is -5? What about 5?
I’ve done all three functions and the answers are -9, 24 and -4 but I don’t know which one to answer as the y value with. Please help.
Solve by completing the square. 2x^2 – 2x – 4 = 0
Step-by-step explanation:
Factor out 2,
x² - x - 2 = 0
x² - x = 2
x² - x + (-1/2)² = 2 + (-1/2)²
(x - 1/2)² = 9/4
x = ±3/2 + 1/2
x = 2 or x = -1
10 cows, 26 horses and 4 goats are in a paddock. What is the percentage of animals that are horses?
Answer:
10+26+4=40
in total there is 40 animals
because there is in total for 40 animals then that mean 40 animals is 100%
now we see that there are 26 horses we only need to divid ( but remember you have to divid the percent and the number of animals together)
40 ÷ 20 = 2. 2 x 13 = 26
100% ÷ 20 = 5%. 5% x 13 = 65%
the answer for this question:
the percentage of animals that are horses is 65%
Point g is located at (3,6) on the coordinate plane. Point G is reflected over the x-axis to create point G'. Point G' is then reflected over the y-axis to create point G''. What ordered pair describes the location of G''.
-Answer:
(-3. -6)
Step-by-step explanation:
G (3,6)
x axis reflect
G' (3, -6)
y axis reflect
G'' (-3. -6)
Which of the following theorems verifies that ANPO- AXYZ?
Pls halppppppppppppppp
Answer:
-6 + 14
8
Step-by-step explanation:
Given: Hank is -6 below feet. He rises +14 feet above level.
-6 + 14 = 8
Addition expression: -6 + 14
Sum: 8
Hope this helped.
I think of number I add 14 to the number and multiply the result by 3 if my final answer is 51 what number did I think of
Answer:
-1
Explanation:
Let the number be x.
Then the equation will be:
3(x+18) = 51
=> 3x + 54 = 51
=> 3x = 51 - 54
=> 3x = -3
=> x = -3/3
=> x = -1
So, the number you thought of is -1.
Answer:
The number is 3.
Step-by-step explanation:
[tex]3(14+x)=51\\42+3x=51\\3x=9\\x=3[/tex]
The length of a rectangle is 2 cm less than twice the width. The area of the rectangle is 112 cm2. Find the length and width of the rectangle.
Let breadth be x
Length=2x-2We know
[tex]\boxed{\sf Area=Length\times Breadth}[/tex]
[tex]\\ \sf\longmapsto 112=x(2x-2)[/tex]
[tex]\\ \sf\longmapsto 2x^2-2x-112=0[/tex]
[tex]\\ \sf\longmapsto x=-7\:or\:x=8[/tex]
Ignore negative valueNow
[tex]\\ \sf\longmapsto Length=2x-2=2(8)-2=16-2=14[/tex]
[tex]\\ \sf\longmapsto Breadth=8[/tex]
.........................................................
Answer:
..............................what this
Find the inequality represented by the graph.
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Answer:
y < 3x -4
Step-by-step explanation:
The boundary line has a slope (rise/run) of 3/1 = 3. It has a y-intercept of -4. The shaded area is below the line and the solution does not include the line. The relevant inequality can be written ...
y < 3x -4
