The life expectancy in the US is 75 with a standard deviation of 7 years. A random sample of 49 individuals is selected. What is the probability that the same mean will be larger than 77 years?
Answer:
0.02275
Step-by-step explanation:
We use this z score formula to solve for this question
z-score is is z = (x-μ)/σ/√n
where x is the raw score
μ is the population mean
σ is the population standard deviation
From the above question,
x = 77
μ = 75
σ = 7
number of samples = 49
Hence, the z score = 77 - 75/ (7/√49)
= 2/(7/7)
= 2/1
= 2
Hence, the z score = 2
Using the z table to find probability
P(x<77) = 0.97725
P(x>77) = 1 - P(x<77)
= 1 - 0.97725
= 0.02275
Therefore, the probability that the same mean will be larger than 77 years
is 0.02275
Which ordered pair is a solution of y = 4x? a. (3, 10) b. (-5, -20) c. (-20, -5) d. (1.5, 6)
Answer:
YOUR CORRECT OPTION IS B
B) (-5,-20)
y=4x
x= -5
y= -20
Putting values
-20 = 4(-5)
= -20 = -20
Thus, the correct answer is B
Answer:
b (-5,-20)
Step-by-step explanation:
the first number in an ordered pair is the x value and the second is y so when you substitute in these values you get -20= 4(-5) which is true
How do you know if a given relation is a function or not a function?
Answer:
You can determine whether each element of the domain is paired with exactly one element of the range. For example, if given a graph, you could use the vertical line test; if a vertical line intersects the graph more than once, then the relation that the graph represents is not a function
Steve needs to ship a box of dice, each of which is a cube with a volume of 1 cubic centimeter. How many dice can Steve fit in this box? A. 39 B. 270 C. 972 D. 1,944
Answer:
D. 1,944
Step-by-step explanation:
the box's size is missing, so I looked for a similar question:
the box measures:
base (12 cm) width (9 cm) height (18 cm)total volume of the box = 12 x 9 x 18 = 1,944 cm³
since each dice occupies a volume of 1 cm³, then you can fit 1,944 dices in each box.
a baker made 260 cupcakes last week of 55% were chocolate how many cupcakes were chocolate
Fifty five percent times two hundred and sixty equal one hundred and forty three
Three times the sum of a number and 12.
Answer:
3(x + 12)
Step-by-step explanation:
"the sum of a number and 12"
x + 12
"Three times the sum of a number and 12"
3(x + 12)
What interval includes all possible values of x, where -3(6 - 2x) >4x + 12
O (-00, -3]
OF-3,00)
0 (0o, 15]
O [15,00)
Step-by-step explanation:
-3(6 - 2x) > 4x + 12
-18 + 6x > 4x + 12
2x > 30
x > 15
The solution set is (15, ∞).
The interval that includes all possible values of x that satisfy the inequality is (15, infinity), which can be written as [15, oo) in interval notation.
The answer is (d) [15,00)
What are intervals?The intervals are numbers or values between two given point
The intervals are denoted as:
Closed intervals = [a, b]
This interval includes a and b.
Open intervals = (a, b)
This interval does not include a and b.
We have,
We can solve the inequality as follows:
-3(6 - 2x) > 4x + 12
Distribute the -3 on the left side:
-18 + 6x > 4x + 12
Subtract 4x from both sides:
2x > 30
Divide both sides by 2:
x > 15
Therefore,
The interval that includes all possible values of x that satisfy the inequality is (15, infinity), which can be written as [15, oo) in interval notation.
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What type of slope is demonstrated by the line below?
(5,5)
(5,-5)
O A. Zero slope
O B. Negative slope
O C. Undefined slope
D. Positive slope
Solve: -3x + 12 = -18
Answer:
x=2
Step-by-step explanation:
-3x+12=-18
-3x=-18+12
-3x=-6
x=-6/-3
x=2
Answer:
x=10
Step-by-step explanation:
We are given the equation:
[tex]-3x+12= -18[/tex]
and asked to solve for x. Therefore, we must isolate x on one side of the equation.
12 is being added to -3x. The inverse of addition is subtraction. Subtract 12 from both sides of the equation.
[tex]-3x+12-12= -18 -12[/tex]
[tex]-3x= -18-12[/tex]
[tex]-3x=-30[/tex]
x is being multiplied by -3. The inverse of multiplication is division. Divide both sides of the equation by -3.
[tex]-3x/3=-30/-3[/tex]
[tex]x= -30/-3[/tex]
[tex]x=10[/tex]
Let's check our solution. Plug 10 in for x and solve.
[tex]-3x+12=-18[/tex]
[tex]-3(10)+12=-18[/tex]
Multiply -3 and 10.
[tex]-30+12=-18[/tex]
Add 12 to -30.
[tex]-18=-18[/tex]
This checks out, so we know our solution is correct.
The solution -3x+12=-18 is x=10.
What is 24 times 1 billion divided over by 2346
Answer: 10,230,179.02813299
Step-by-step explanation:
That would be your answer
Answer:
uh
Step-by-step explanation:
Solve for x. Image is below.
Answer:
(2x +5) + 3x = 90
5x + 5 = 90
5x = 85
x = 17
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the sum of three consecutive integers is 267. What is the largest integer?
Answer: 90
Step-by-step explanation:
We first need to find three consecutive numbers that adds up to 267. We know that the numbers will be somewhat close to 100 because the sum needs to be past 250.
Let's try 85,86,87.
85+86+87=258
258 is very close to 267. We know that we need to increase our numbers.
Let's try 88,89,90.
88+89+90=267
88,89, and 90 added together gives us 267. The question asks for the largest integer. In 88, 89, 90, 90 is the largest integer.
I NEED HELP PLEASE !!!!
Answer:
1st choice 9 to the power of 4 times 8 to the power of 4 times
Step-by-step explanation:
(9 times 8) to the power of 4 means
9*8*9*8*9*8*9*8 which is also equal to 9*9*9*9*8*8*8*8
and that is 9 to the power of 4 times 8 to the power of 4 times
Answer:
A
Step-by-step explanation:
Because (9*8)^4 equals 26873856
and 9^4*8^4 equals 26873856
To determine whether
(-1,4) is a solution to the equation 3x + 8y =
29, substitute
for x —
and
for y — .
Answer:
(- 1, 4 ) is a solution to the equation
Step-by-step explanation:
Substitute x = - 1 and y = 4 into the left side of the equation and if the value obtained is equal to the right side then it is a solution
Given
3x + 8y = 29, then
3(- 1) + 8(4) = - 3 + 32 = 29 = right side
Thus (- 1, 4 ) is a solution of the equation
30 = −5(6n + 6) multi step equation show all steps pls
The solution to the equation is n = -2.
To solve the equation 30 = -5(6n + 6) step-by-step, follow these procedures:
Step 1: Distribute the -5 on the right side:
30 = -5 * 6n - 5 * 6
Step 2: Simplify the right side:
30 = -30n - 30
Step 3: Move constant term to one side:
30 + 30 = -30n
Step 4: Combine like terms:
60 = -30n
Step 5: Divide both sides by -30 to isolate 'n':
n = 60 / -30
Step 6: Simplify the right side:
n = -2
The solution to the equation is n = -2.
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Solve for x.
6(x - 1) = 9(x + 2)
x=-8
O x=-3
O x = 3
O x = 8
How many terms are there in the following expression: 3a + 3ab + 7b – 4d?
A term is a single constant or variables that have non-zero coefficients.
Since there are 4 terms with non-zero coefficients in the following expression, there are 4 terms.
Hope this helps.
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I need help help me please
Which expression is equivalent to 5x + 2 - x + 10?
Answer:
4x +12
Step-by-step explanation:
[tex]5x + 2 - x + 10\\\\\mathrm{Group\:like\:terms}\\=5x-x+2+10\\\\\mathrm{Add\:similar\:elements:}\:5x-x=4x\\=4x+2+10\\\\\mathrm{Add\:the\:numbers:}\:2+10=12\\=4x+12[/tex]
To what percent should the taxes for each service be
rounded in order to make reasonable estimates?
Restaurant Server:
v%
Florist:
v%
Cab Fare:
%
v%
Dog Groomer:
Answer:
Restaurant Server: 10%
Florist: 10%
Cab Care: 0%
Dog Groomer: 5%
Step-by-step explanation
I took the test and got the question right!!!Also, in the question it says round to make a more resonable number for example in the chart for the resturant it says the cost is $40 dollars and the gratuity is 18% and the tax is 8.5% with this you round 18% to 20% and the tax 8.5% to 9% and round that to 10% and when you round the tax to 10% that is your anwser. Then with all the other numbers on the chart do the same thing and there is all of your anwsers.
Hope I Helped ;)Restaurant Server: 8%
Florist: 12%
Cab Fare: 0%
Dog Groomer: 6%
Restaurant Server:
The cost is $40 and the gratuity is 18%.
To calculate the tax, you multiply the cost by the tax rate, which is 8.5% (or 0.085).
The tax amount would be $40 × 0.085 = $3.40. Rounding this to the nearest whole number would be $3.
Therefore, the tax estimate for the restaurant service would be 8%.
Florist:
The cost is $94 and the gratuity is 12%.
The tax rate for the florist service is 12% (or 0.12).
Calculating the tax amount would be $94 × 0.12 = $11.28. Rounding this to the nearest whole number would be $11.
Hence, the tax estimate for the florist service would be 12%.
Cab Fare:
The cost is $32, and the gratuity is 20%.
The tax for cab fares is mentioned as 0%, which means there is no tax applicable. In this case, rounding is not necessary as the tax amount is already 0%.
Dog Groomer:
The cost is $62, and the gratuity is 26%. The tax rate for the dog groomer service is 5.75% (or 0.0575).
Calculating the tax amount would be $62 × 0.0575 = $3.57.
Rounding this to the nearest whole number would be $4.
Thus, the tax estimate for the dog groomer service would be 6%.
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To what percent should the taxes for each service be
rounded in order to make reasonable estimates?
Service cost Gratuity Tax
Restaurant $40 18% 8.5%
Florist $94 12% 12%
Cab fare $32 20% 0%
Dog groomer $62 26% 5.75%
Restaurant Server:
Florist:
Cab Fare:
Dog Groomer:
Find the difference between 7/10 and 14/15
Answer:
the difference between the two fractions is 1/10
Step-by-step explanation:
when solving this problem you must switch the denominators to the same number. in this case thats 30. so 10*3 is 30 and 15*2 is 30. so then we multiply 7*3 to get 21 and 14*2 to get 24. so now we have 21/30 and 24/30, so then we compare. and we end up with 3/30, we simplify the answer to 1/10.
The product of 6 and x is less than or equal to -37
Answer:
Step-by-step explanation:
6x≤-37
x≤-37/6
x≤ -6 1/6
how can you find the value of the expression -5 + 12 + 10 - 7
Answer:
10
Step-by-step explanation:
Please help! alg 1! I really need a explaintion fastttt
Answer:
y = -5x +10(0, 10)(1, 5)see attachedStep-by-step explanation:
1. Subtract 5x from both sides to put the equation in slope-intercept form:
y = -5x +10
__
2. The y-intercept is the point corresponding to x=0. The y-value when x=0 is the constant in the equation: 10. Then the point is ...
(x, y) = (0, 10)
You may notice this is one of the points listed in part 4, and is also used in question 3.
__
3. The x-value computed is 1; the y-value computed is 5. The point is ...
(x, y) = (1, 5)
You may notice this is one of the points listed in part 4.
__
4. See attached
Answer:
1. y = -5x +10
2. (0, 10)
3. (1, 5)
4. see attached
Step-by-step explanation:
1. Subtract 5x from both sides to put the equation in slope-intercept form:
y = -5x +10
__
2. The y-intercept is the point corresponding to x=0. The y-value when x=0 is the constant in the equation: 10. Then the point is ...
(x, y) = (0, 10)
You may notice this is one of the points listed in part 4, and is also used in question 3.
__
3. The x-value computed is 1; the y-value computed is 5. The point is ...
(x, y) = (1, 5)
You may notice this is one of the points listed in part 4.
__
4. See attached
Add. Express your answer as a fraction. Do not include spaces in your answer.
5 1/4 + 15.5
Answer:
20 3/4
Step-by-step explanation:
First, add together the whole numbers:
5 + 15
= 20
Then, add the fractions and decimals together:
Convert 1/4 to a decimal, which is 0.25
Add the decimals together:
0.25 + 0.5
= 0.75
Convert this to a fraction:
0.75 = 3/4
Then, add together 20 and 3/4
20 + 3/4
= 20 3/4
Answer:
83/4
Step-by-step explanation:
This is the right answer.
Use the following image to answer the questions below.
Answer: Choice A
Ray PL and ray PQ
=======================================================
Explanation:
Opposite rays always have the same endpoint in common. So opposite rays start with the same letter.
Opposite rays also lay on the same geometric line. This means they point in complete opposite directions. Gluing together two opposite rays forms a line that extends forever in both directions.
Ray PQ points in one direction while ray PL points in the opposite direction. These are opposite rays.
Saying "ray PQ" is different from saying "ray QP". The order matters. This is because the first letter tells you the endpoint while the second letter is where the ray is aimed at (and where it goes off forever).
Use the difference quotient to calculate the average rate of change across the following intervals. Difference quotient of d(t): 3t^2 + 5th – 2
The interval 2 to 3:
The interval 2 to 2.5:
The interval 2 to 2.1:
Answer:
Ok, we have:
d(t) = 3*t^2 + 5*t - 2.
The first interval is:
(2, 3)
and remember that, for an interval (a,b), the difference quotient is:
D = (f(b) - f(a))/(b -a)
Then in this first interval we have:
[tex]d = \frac{d(3) - d(2)}{3-2} = \frac{3*3^2 + 5*3 - 2 - (3*2^2 + 5*2 - 2)}{1} = 20[/tex]
So the average rate of change in (2,3) is 20.
now, in (2, 2.5) we have:
[tex]d = \frac{d(2.5) - d(2)}{3-2} = \frac{3*2.5^2 + 5*2.5 - 2 - (3*2^2 + 5*2 - 2)}{1} = 9.25[/tex]
So here the rate of change is 9.25
And in the interval (2, 2.1) we have:
[tex]d = \frac{d(2.1) - d(2)}{3-2} = \frac{3*2.1^2 + 5*2.1 - 2 - (3*2^2 + 5*2 - 2)}{1} = 1.73[/tex]
So in this interval the rate of change is 1.73
Answer:
2 to 3 is 20
2 to 2.5 is 15
2 to 2.1 is 11
Step-by-step explanation:
I got this question right on EDGE 2023
what is 3x-15+6x+2=45
Answer:
x=58/9 fraction x=6 4/9
Step-by-step explanation:
Answer:
x = 6.44 (rounded)
Step-by-step explanation:
First, combine like terms:
3x + 6x + 2 - 15 = 45
(3x + 6x) + (2 - 15) = 45
(9x) + (-13) = 45
9x - 13 = 45
Isolate the variable, x. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS.
PEMDAS is the order of operation, and is:
Parenthesis
Exponents (& Roots)
Multiplication
Division
Addition
Subtraction
First, add 13 to both sides:
9x - 13 (+13) = 45 (+13)
9x = 45 + 13
9x = 58
Next, divide 9 from both sides:
(9x)/9 = (58)/9
x = 58/9
x = 6.44
Help with question on Complementary and Supplementary Angles
Step-by-step explanation:
Right angle = 90°
(x + 3) + (x - 1) + (x + 1) = 90
3x + 3 = 90, x = 29.
Supplementary angles = Angles that add up to 180°.
x + (x + 104) = 180
2x = 76, x = 38.
The value of x in fig.1 is 29 .
The value of x in fig.2 is 38 .
Given,
Figures having different angles .
1)
Right angle = 90°
(x + 3) + (x - 1) + (x + 1) = 90
3x + 3 = 90
x = 29.
2)
Supplementary angles = Angles that add up to 180°.
x + (x + 104) = 180
2x = 76
x = 38.
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If angle vuw = 4x+6 and wut = 6x+10 what is the measure of wut
Answer:
C, 38°
Step-by-step explanation:
ray UW is the angle bisector of ∠VUT
--> m∠VUW = m∠WUT = 1/2 m∠VUT
<=> 4x + 6 = 6x - 10
<=> 6 + 10 = 6x - 4x
<=> 2x = 16
<=> x = 8
So, the measure of m∠WUT is: 6x - 10 = 6 . 8 - 10 = 48 - 10 = 38°