Answer:
Sam workrate 1/5
Lucy workrate 1/3.5 = reciprocal of 7/2 = 2/7
combined workrate: 1/5 + 2/7 = 17/35
they will mow the lawn in 35/17 = 2 and 1/17 hours
2 hours 3 1/2 mins
Step-by-step explanation:
The table gives a few( x,y)pairs of a line in the coordinate plane x,y 24 -8 36 1 48 10 what is the y -intercept of the line
Answer:
-26
Step-by-step explanation:
One way to answer this question is to look at what's happening to the values of x and y.
x y
24 -8
36 1
48 10
Go down the list of x values: they are increasing by 12 at each step
Go down the list of y values: they are increasing by 9 at each step.
The y-intercept of the line is the value of y when x = 0.
Think about reversing the steps (decrease x by 12 and decrease y by 10):
x y
48 10
36 1
24 -8
12 -17
0 -26 <----- the y intercept is -26.
Note: Your book or teacher may list y intercepts as points. If so, use (0, -26)
what is
225x2 + 4 = 0
la respuesta es 454 espero que te haya ayudado aunque sea un poquito :D
What is more 7 9/10 or 7 4/5?
Answer:
7 9/10
Step-by-step explanation:
568,924,126 each digit stands for what
Answer:
500,000,00060,000,0008,000,000900,00020,0004,000100206Step-by-step explanation:
To find what a digit stands for, make all the other digits zero.
This is substantially what we do when we write the number in "expanded form."
568,924,126
= 500,000,000 +60,000,000 +8,000,000 +900,000 +20,000 +4,000 ...
... +100 +20 +6
The list of numbers in the sum is the list of numbers the digits stand for.
At SeptemberFest, the first dance of the year, the Students’ Council charged $3 for couples and $2 for singles. If 365 tickets were sold and the total receipts were $925, how many single tickets were sold? Write you answers as a number only.
A study was conducted to determine if the salaries of librarians from two neighboring cities were equal. A sample of 15 librarians from each city was randomly selected. The mean from the first city was $28,900 with a standard deviation of $2300. The mean from the second city was $30,300 with a standard deviation of $2100. Construct a 95% confidence interval for mu 1minusmu 2.
Answer:
For the first city, the 95% confidence interval would be:
28,900 +/- 2300 x 3 = 28,900 +/-6900$
For the second city, the 95% confidence interval would be:
30,300 +/- 2100 x 3 = 30,300 +/- 6300$
What’s the correct answer for this?
Answer:
A
Step-by-step explanation:
Suppose p = 6 and b = 8, so that tan x is 6/8
Then the hypotenuse is sq rt (6x6 + 8x8) = sq rt (36 + 64) = sq rt (100) = 10
So sin x = p / h = 6 / 10
And cos x = b / h = 8 / 10
So A is the answer
Answer:
A. sin x = 6/10 and cos x = 8/10.
Step-by-step explanation:
If tan x is 6/8 the opposite side to x = 6 and the adjacent side = 8.
So the hypotenuse of the triangle = √(6^2 + 8^2)
= √100
= 10.
So sin x = 6/10 and cos x = 8/10.
Geraldine is picking a four-digit password by using the digits 0 through 9. She can use each digit only once. How many different passwords are possible? 34 40 5,040 10,000
Answer:
5040 different combinations
Step-by-step explanation:
0-9 = 10 numbers
1st digit can be 1 0f 10
2nd digit can be 1 of 9
3rd digit can be 1 of 8
4th digit can be 1 of 7
10×9×8×7=5040
On Tuesday, the bottles of iced tea filled in a plant were supposed to contain an average of 20 ounces of iced tea. Quality control inspectors sampled 50 bottles at random from the days production. These bottles contained an average of 19.6 ounces of iced tea
Identify the population
Identify the parameter
Identify the sample
Identify the statistic
Answer:
i) The bottles of iced tea filled in a plant is the Population
ii) The Average of Population μ = 20 is called Parameter
iii) The sample size 'n' = 50
iv) The mean of the sample 'x⁻ = 19.6 ounces
Step-by-step explanation:-
Population:-
The total number of observations which we are concerned , whether this number be finite or infinite is called Population.
In Given data
The bottles of iced tea filled in a plant is the Population
Parameter:-
The statistical constants of the Population namely mean and variance are usually refereed to as Parameters.
The Average of Population μ = 20 is called Parameter
Sample:-
A sample is a subset of population
given data sample size n=50 bottles at random from the days of production
Statistics
The sample mean x⁻ and variance S² is called statistics
Given data
These bottles contained an average of 19.6 ounces of iced tea
x⁻ = 19.6 ounces
For the arithmetic sequence beginning with the terms {9, 14, 19, 24, 29, 34 ...}, what is the sum of the first 23 terms?
Answer:
1472
Step-by-step explanation:
The sum of n terms of an arithmetic sequence is
[tex]S_{n}[/tex] = [tex]\frac{n}{2}[/tex] [ 2a₁ + (n - 1)d ]
where a₁ is the first term and d the common difference
Here a₁ = 9 and d = 19 - 14 = 5 , thus
[tex]S_{23}[/tex] = [tex]\frac{23}{2}[/tex] [ (2 × 9) + (22 × 5) ]
= 11.5 (18 + 110) = 11.5 × 128 = 1472
The desired percentage of Silicon Dioxide (SiO2) in a certain type of aluminous cement is 5.5. To test whether the true average percentage is 5.5 for a particular production facility, 16 independently obtained samples are analyzed and a sample mean of 5.25 was obtained. Suppose that the percentage of SiO2 in a sample is normally distributed with a sigma of 0.3. Does this indicate conclusively that the true average is smaller than 5.5? Carry the procedure at a 0.01 significance level. Use only the P-Value approach. State H0 and Ha
Answer:
a) Null hypothesis : H₀ : μ = 5.5
Alternative Hypothesis : H₁ : μ < 5.5
b) The test statistic
|t| = |-3.33| = 3.33
c) P - value lies between in these intervals
0.001 < P < 0.005
Step-by-step explanation:
Step( i ):-
Given data the Population mean 'μ' = 5.5
The small sample size 'n' = 16
The sample mean (x⁻) = 5.25
Given the percentage of SiO2 in a sample is normally distributed with a sigma of 0.3.
Null hypothesis : H₀ : μ = 5.5
Alternative Hypothesis : H₁ : μ < 5.5
Level of significance ∝ = 0.01
Step(ii):-
The test statistic
[tex]t = \frac{x^{-} -mean}{\frac{S.D}{\sqrt{n} } }[/tex]
[tex]t = \frac{5.25 -5.5}{\frac{0.3}{\sqrt{16} } }[/tex]
On calculation , we get
t = -3.33
|t| = |-3.33| = 3.33
Step(iii):-
P - value
The degrees of freedom γ = n-1 = 16-1 =15
The calculated value t = 3.33 (check t-table) lies between the 0.001 to 0.005
0.001 < P < 0.005
Condition(i)
P - value < ∝ then reject H₀
Condition(ii)
P - value > ∝ then Accept H₀
we observe that 0.001 < P < 0.005
P- value < 0.01
we rejected H₀
(or)
The tabulated value = 2.60 at 0.01 level of significance with '15' degrees of freedom
The calculated value t = 3.33 > 2.60 at 0.01 level of significance with '15' degrees of freedom
The null hypothesis is rejected
Conclusion:-
Accepted Alternative hypothesis H₁
The Claim that the true average is smaller than 5.5
Find the area of the regular polygon.
Round your answer to the
nearest tenth if necessary.
Answer:
See Explanation
Step-by-step explanation:
The question is incomplete as the dimension of the polygon is not given.
However, I'll give a general explanation of how to calculate the area of a regular polygon.
If you follow these simple steps, you'll arrive at your answer.
The area of a polygon is calculated as thus;
A = ½(nbh)
Where A represent the area
n represents the number of sides
b represents the length of the base
h represent the height of the polygon
Take for instance, the polygon is a regular pentagon.
This means n = 5.
Also assume that the base and the height are 5cm and 7cm respectively.
This means that
Area = ½ * (5 * 5 * 7)
Area = ½ * 175
Area = 87.5cm²
Hence, the area of the polygon is 87.5cm²
877+100=__+258help me
Answer:
719 = x
Step-by-step explanation:
877+100=_x_+258
Combine like terms
977 = x+258
Subtract 258
977 -258 = x+258-258
719 = x
The expression below can be used to find the area of a triangle with a base of 4.5 in. and a height of 2.1 in. One-half (n) (2.1) What number should go in place of n to find the area of the triangle?
Answer:
Step-by-step explanation:
4.5
Answer:
4.5
Step-by-step explanation:
i did the test
Brainliest to whoever gets this CORRECT.
Answer:
30 > x
Step-by-step explanation:
-13 > x-43
Add 43 to each side
-13+43 > x-43+43
30 > x
Andre hit 46 balls at practice. He hit no fewer than 20 less than double the number of hits Jason had. Which inequality represents the situation if j represents the number of hits Jason had?
46 minus 20 less-than 2 j
2 j minus 20 less-than-or-equal-to 46
46 minus 20 less-than-or-equal-to 2 j
2 j minus 20 greater-than-or-equal-to 46
Answer:
2j -20 ≤ 46
Step-by-step explanation:
"20 less than double the number Jason [hit]" can be represented by 2j-20.
We are told that 46 is no fewer than this value, so it is greater than or equal to this value:
46 ≥ 2j -20
2j -20 ≤ 46 . . . . . swapping sides to match answer choices
Answer:
2j -20 ≤ 46
Step-by-step explanation:
if Logan(3)=5, what is the value of a^5?
Answer:
[tex]a^5=3[/tex]
Step-by-step explanation:
When it comes to exponential expressions and logarithms, the following relationship applies:
[tex]\log_b{(x)}=a\ \leftrightarrow\ b^a=x[/tex]
Here, it means ...
[tex]\boxed{a^5=3}[/tex]
Answer:
[tex] \huge \purple { \boxed{{a}^{5} = 3}}[/tex]
Step-by-step explanation:
[tex] log_{a}(3) = 5 \\ 3 = {a}^{5} \\ \huge \red { \boxed{{a}^{5} = 3}}[/tex]
fourteen less then the product of five and nine in numerical expression
pls help
Answer:
( 5 x 9 ) - 14
Which equals 31
Answer:
31
Step-by-step explanation:
5 x 9- 14 is 31
The area of a rectangular swimming pool is 360 square feet. If the length of the pool is 9 feet more than it’s width, find the length of the pool
Answer:
The length of the pool is [tex]L=24\:ft[/tex].
Step-by-step explanation:
The area of a rectangle is given by [tex]A=L\cdot W[/tex] where L is the length, W is the width.
If the length of the pool is 9 feet more than it’s width, this means that [tex]L=9+W[/tex]
We know that the area of a rectangular swimming pool is 360 [tex]\:ft^2[/tex]. So we simple insert the length ([tex]L=9+W[/tex]), width ( [tex]W[/tex]) and area (360) into the formula and solve the resulting equation.
[tex]360=\left(9+W\right)W\\\\360=9W+W^2\\\\9W+W^2=360\\\\W^2+9W-360=0[/tex]
[tex]\mathrm{Solve\:with\:the\:quadratic\:formula}\\\\\mathrm{For\:a\:quadratic\:equation\:of\:the\:form\:}ax^2+bx+c=0\mathrm{\:the\:solutions\:are\:}\\\\x_{1,\:2}=\frac{-b\pm \sqrt{b^2-4ac}}{2a}[/tex][tex]\mathrm{For\:}\quad a=1,\:b=9,\:c=-360:\quad W_{1,\:2}=\frac{-9\pm \sqrt{9^2-4\cdot \:1\left(-360\right)}}{2\cdot \:1}\\\\W=\frac{-9+\sqrt{9^2-4\cdot \:1\left(-360\right)}}{2\cdot \:1}= 15[/tex]
[tex]W=\frac{-9-\sqrt{9^2-4\cdot \:1\left(-360\right)}}{2\cdot \:1}= -24[/tex]
A length cannot be negative. So [tex]W=15[/tex] and the length of the pool is [tex]L=9+15=24\:ft[/tex]
Manuel had 7.8 grams of pepper. Then he used 0.7 grams of pepper to make some scrambled eggs.how much pepper does Manuel have left
Greetings, Brianna!
In this problem, we need to figure out how many grams of pepper Manuel has left after subtracting or taking away 0.7 grams from his original amount of 7.8 grams.
1. First of all, when subtracting decimals, the easiest thing to do is make sure your equations are lined up nicely. For example, if one number has a decimal point but the other doesn't we need to make it so the one that doesn't have a decimal point gets one. We can do this by adding .0, so we don't change the value, but rather make the subtraction process easier. Additionally, having a whole number and a decimal that is less than 1 can be tricky to subtract when lining up, so we could add a zero before the decimal. As you can see, there is no change we could make (similar to my examples), so the numbers are ready to subtract.
2. Because we know Manuel is taking the smaller number from the larger number, we will line it up as so:
7.8
-0.7
3. From there, it's quite simple: we subtract just as if it were a normal (vertical) subtraction problem, from right to left, top to bottom. Pretend the decimals aren't there (refer to text below with the matching asterisk)*.
[tex]8 - 7 = 1[/tex]
[tex]7 - 0 = 7[/tex]
7.8
-0.7
71
4. Surely that's impossible; getting 71 grams as your answer. Heck, we never started anywhere close to that! But we're not done there!
Now we have to add our decimal point. Because you are subtracting, put it in the same place as the numbers before. If you prefer just adding it as you go, refer to step #3. Place the decimal in the under the answer bar, directly underneath the other points. Don't pay much attention to it.
*Important: This is different for other operations, but when it comes to adding and subtracting decimals, the decimal will be in the same place. That's why it is important we line up the numbers exactly!
7.8
-0.7
7.1
Therefore, our answer is 7.1 grams. Manuel has 7.1 grams of pepper left.
Please let me know if this helped! Tell me if you have any questions, and if you wouldn't mind, I'd be so grateful if you could rate me.
can someone please answer this fast, ty
Answer:
13p
Step-by-step explanation:
12p+p
Factor out the p
p(12+1)
p (13)
13p
What is the y-intercept of the line given by the equation below?
y = 8x + 7
Answer:
The y-intercept is [tex]7[/tex]
Step-by-step explanation:
Think of y=mx+b
m is the slope
b is the y-intercept
since 7 is in the b, the y-intercept is 7.
Y= - x+2 Y=3x-4
Estimate the solution to the system of equations
Answer:
[tex]x=\frac{3}{2}\\ y=\frac{1}{2}[/tex]
Step-by-step explanation:
[tex]y=-x+2\\y=3x-4[/tex]
Let's solve one of them for x.
[tex]y=3x-4[/tex]
Add 4
[tex]y+4=3x[/tex]
Divide by 3.
[tex]x=\frac{y+4}{3}[/tex]
Now, plug the value of y in the formula, or you can plug the value of x in the other equation. I'll take this one.
[tex]x=\frac{y+4}{3}[/tex]
[tex]x=\frac{(-x+2)+4}{3}[/tex]
[tex]x=\frac{-x+2+4}{3}[/tex]
[tex]x=\frac{-x+6}{3}[/tex]
Multiply by 3 to get rid of the denominator.
[tex]3x=-x+6[/tex]
add x
[tex]3x+x=6[/tex]
Combine like terms;
[tex]4x=6[/tex]
Divide by 4.
[tex]x=\frac{6}{4}[/tex]
Simplify.
[tex]x=\frac{3}{2}[/tex]
Now that you found the value of x, replace it in any of the equations to find y.
[tex]y=-x+2\\y=-(\frac{3}{2})+2\\ y=-\frac{3}{2}+2[/tex]
[tex]y=\frac{-3+2*2}{2} \\y=\frac{-3+4}{2} \\y=\frac{1}{2}[/tex]
Proof:
[tex]y=3x-4\\\frac{1}{2}=3(\frac{3}{2})-4\\\frac{1}{2}=(\frac{9}{2})-4[/tex]
[tex]\frac{1}{2}=\frac{9-4*2}{2}[/tex]
[tex]\frac{1}{2}=\frac{9-8}{2}[/tex]
[tex]\frac{1}{2}=\frac{1}{2}[/tex]
A rectangle is divided into same size squares one row covers 1/8 of the whole rectangle there are 3 squares in each row how many squares are in a whole triangle
Answer:
it is one square
Step-by-step explanation:
in the middle is room for one but anywhere else isn't
help help help help
Answer:
It isn't 100
(0.5 is 1/2)
2/0.5=4
50x4=200
Hope this helps
Step-by-step explanation:
Which method would determine the volume of the prism with dimensions 2x2x4 shown below?
2 in
4
There are 8 one-quarter cubes and 16 unit cubes so 8x
00
+16 will give the volume
-6•f (-3) - 5•g (-7) =
please help.
Answer:
-12
Step-by-step explanation:
The value of f(-3) is found by finding the point on the solid blue graph where x = -3. That point has a y-value of -3, so f(-3) = -3.
The value of g(-7) is found by finding the point on the dashed purple graph where x = -7. That point has a value of 6, so g(-7) = 6.
Putting these numbers into your expression gives ...
-6(-3) -5(6) = 18 -30 = -12
Can somebody please help with these two questions?
Answer:
#3: x is approximately 0.37, -5.37, #4: x is approximately 4.19, -1.19
Step-by-step explanation:
You can solve using the quadratic equation or by solving with the perfect square
[tex]\frac{-b+/-\sqrt{b^{2}-4ac} }{2a}[/tex] = [tex]x^{2}+5x-2=0\\ \frac{-5+/-\sqrt{5^{2}-4(1)(-2) }}{2(1)}[/tex]
x is approximately 0.37, -5.37
If
f(x) = -4x + 8 and
g(x) = √ x – 1, which statement is true?
Answer:
-3 is not in the domain of f°g
Step-by-step explanation:
f°g=f(g(x))
f(x) = -4(√x-1)+8
*Remember that √x-1 has to be larger than 0
since √-3-1 = √-4, -3 is not in the domain of f°g
14 points
At the college football game there were 48,000 people. If 77% of the
people at the game were supporters for the home team, how many
people were supporting the home team?*
11,040
36,960
62,338
36,000
Answer:
11,040 is the answer
Step-by-step explanation:
you just need to subtract
There are 36,960 people were supporting the home team.
What is the percentage?A percentage is a minimum number or ratio that is measured by a fraction of 100.
At the college football game there were 48,000 people.
If 77% of the people at the game were supporters for the home team then we need to find how many people were supporting the home team.
x/ 48000 = 77/ 100
here plugging in all our numbers gives us .
x = (77/ 100)48000
x = 36,960
Therefore, There are 36,960 people were supporting the home team.
Learn more about percentages;
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