Answer:
24 is the whole desposited. unless you are not counting the money she spent to open it. then it would be $23.50
a normal distribution has a mean of 56 and a standard deviation of 8. Find the percentage of data values that are in the given interval. Use the curve to aid you.
Answer:
12) Between 40 and 64 = 0.815
13) Between 32 and 40 = 0.0235
14) Between 56 and 64 = 0.34
15) At most 56 = 0.515
16) At least 72 = 0.025
17) At most 64 = 0.855
Explanation:
To answer this, we will convert each of the values into their standardized form to make this easier.
The standardized score for any value is the value minus the mean then divided by the standard deviation.
z = (x - μ)/σ
x = Each value
μ = Mean = 56
σ = Standard deviation = 8
12) Between 40 and 64
For 40,
z = (x - μ)/σ = (40 - 56)/8 = (-16/8) = -2
For 64
z = (x - μ)/σ = (64 - 56)/8 = (8/8) = 1
So,
Between 40 and 64 = Between -2 and 1
From the curve, noting that the central point is the mean, with standard score of 0, the lines before it move in step of 1 standard deviation towards the negative side, that is, -1, -2, etc. And the lines before the central point move towards the positive side, that is, 1, 2, 3, etc.
So,
Between -2 and 1 = 0.135 + 0.34 + 0.34 = 0.815
13) Between 32 and 40
For 32,
z = (x - μ)/σ = (32 - 56)/8 = (-24/8) = -3
For 40,
z = (x - μ)/σ = (40 - 56)/8 = (-16/8) = -2
So,
Between 32 and 40 = Between -3 and -2 = 0.0235
14) Between 56 and 64
For 56,
z = (x - μ)/σ = (56 - 56)/8 = (0/8) = 0
For 64,
z = (x - μ)/σ = (64 - 56)/8 = (8/8) = 1
Between 56 and 64 = Between 0 and 1 = 0.34
15) At most 56
For 56,
z = (x - μ)/σ = (56 - 56)/8 = (0/8) = 0
At most 56 = At most 0 = 0.0015 + 0.0235 + 0.15 + 0.34 = 0.515
All the regions before z = 0)
16) At least 72
For 72,
z = (x - μ)/σ = (72 - 56)/8 = (16/8) = 2
At least 72 = At least 2 = 0.0235 + 0.0015 = 0.025
(All the regions from z = 2 to the end)
17) At most 64
For 64,
z = (x - μ)/σ = (64 - 56)/8 = (8/8) = 1
At most 64 = At most 1 = 0.0015 + 0.0235 + 0.15 + 0.34 + 0.34 = 0.855
(All the regions before z = 1)
Hope this Helps!!!
Columbia County needs 757 pieces of pipe to repair some water lines. If each box contains 3 pieces of pipe, how many boxes should the county buy?
Answer:
253 boxes
Step-by-step explanation:
757/3 = 252.33
Determine whether the lines x+ 7y= −3 and y = 7x + 25 are parallel, perpendicular, or neither. Justify your answer by showing all the needed work.
Answer:
perpendicular
Step-by-step explanation:
Rewrite the equations
y = (-1/7)x - 3/7 -- L1
y = 7x + 25 -- L2
Slope of L1 x Slope of L2 = -1/7 x 7 = -1
As a result, the two lines are perpendicular
8.97-4.22= trying to explain round up or down to my child she wants to round 4.22 down to 3
Answer:
You would round down, but not to 3. You would round it down to 4.
Step-by-step explanation:
If a decimals last digits are five or more, you would round up. But 4.22 would be rounded down because its less than 5.
What is 94,353 in expanded form?
[tex] \large \color{lightblue}Answer:[/tex]
94,353 = 90,000 + 4,000 + 300 + 50 + 3Hope it helps..
Answer:
90000 + 4000 + 300 + 50 + 3 = 94353
Find -12.75-5.25=
Write your answer as a decimal
Answer:
-18.00
Step-by-step explanation:
-12.75-5.25
Its going to be a negative number since the greatest number is a negative.
Since its both negative signs you add
12.75+5.25=18.00
Now make it negative.
-18.00
Hope this helps!!!
Have a great day!!! :)
aylor states that 2,800,000 in scientific notation is 2.8 × 10-6 because the number has six places to the right of the 2. Is Taylor’s reasoning correct?
Answer:
2.8+1232adwasdf 232=999
Step-by-step explanation:
If c varies directly as the square root of d, and c=14, when d = 64, find c when d= 324
Answer:
c = 31.5
Step-by-step explanation:
Given c varies directly as [tex]\sqrt{d}[/tex] then the equation relating them is
c = k[tex]\sqrt{d}[/tex] ← k is the constant of variation
To find k use the condition c = 14 when d = 64, then
14 = k ×[tex]\sqrt{64}[/tex] = 8k ( divide both sides by 8 )
1.75 = k
c = 1.75[tex]\sqrt{d}[/tex] ← equation of variation
When d = 324 , then
c = 1.75 × [tex]\sqrt{324}[/tex] = 1.75 × 18 = 31.5
Ryan needs $100 for a new bike. He already has $28 and will make $12 per day working for his grandfather. Write an inequality to find the number of days he must work to make enough money for the bike.
Answer:
100 ≥ 12x + 28
Step-by-step explanation:
He needs $100 for the new bike but already has the $28 so you also have to add 12x because thats what you need to find. X represents the amount of days he has to work.
33) Name four congruent angles that are acute angles.
Answer:
Angles 2, 3 and 6,7 are acute angles
Answer:
∠2≅∠3
∠6≅∠7
∠3≅∠6
∠2≅∠7
Step-by-step explanation:
Hello There!
Acute angles have to have an angle that measures less then 90 degrees. This can simply be determine by looking at the angle and seeing if it makes a smaller angle or a larger angle
∠2 and∠3 are vertical angles which have congruent measures
∠6 and∠7 are also vertical angles
∠3 and∠6 are alternate interior angle which are can be known for being congruent
∠2 and ∠7 are alternate exterior angles which are also congruent
so angles 2, 3, 6 and 7 are all congruent
Meals are cooked in a process with two resources. The first resource has a capacity of 28 meals per hour. The capacity of the second resource is 24 meals per hour. The first resource has 9 workers and the second resource has 8 workers. Demand for this process is 31 meals per hour. Wages are $24 per hour. Instruction: Round your answer to four decimal places. What is the cost of direct labor (in $s)? _____________ per unit
Answer:
The cost of direct labor (in $s) is $7.85 per unit.
Step-by-step explanation:
First resource total wages per hour = Number of workers in first resource * Wages per hour = 9 * $24 = $216
Second resource total wages per hour = Number of workers in second resource * Wages per hour = 8 * $24 = $192
Total wages of the process per hour = First resource total wages + Second resource total wages = $216 + $192 = $408
Cost of direct labor per unit = Total wages of the process per hour / (Capacity of first resource + Capacity of second resource) = $408 / (28 + 24) = $7.85
Therefore, the cost of direct labor (in $s) is $7.85 per unit.
The surface area of one cube is twice the surface area of a second cube.
What is the ratio of their volumes?
Answer:
[tex]2\sqrt{2} :1[/tex]
Step-by-step explanation:
This question was linked from another one regarding the lengths of the cubes, you can find it here: https://brainly.com/question/22396279
That question gave you the ratio of the lengths, which is [tex]\sqrt{2} :1[/tex]. Now in geometry, a general rule about solids is that if they are similar, the ratio of their volumes is the cube of the ratio of their edges. In a cube's case, every single cube known to mankind is similar as all the edges are the same length.
So the ratio of volumes would be [tex]\sqrt{2} ^3:1^3[/tex], which can be simplified as [tex]2\sqrt{2} :1[/tex].
Solve for xy^m=yx^2 for m
Answer:
[tex]m = \frac{ln(xy)}{ln(y)} [/tex]
Step-by-step explanation:
divide both sides by x
simplify
apply exponent rules: mln(y)=ln(xy)
m=ln(xy)/ln(y)
The members of a basketball team are selling T-shirts during spirit week. The cost is $20 for the design and $1.50 to print each T-shirt. The cost, y, to print x T-shirts is y=1.5x+20. Interpret the slope and the y-intercept.
Answer:
Slope of 1.5 means that the printing of each new t-shirt is of $1.50.
The y-intercept of 20 means that the fixed cost, that is, the cost without printing the t-shirts, only the design, is of $20.
Step-by-step explanation:
Equation of a line:
An equation of a line has the following format:
[tex]y = mx + b[/tex]
In which:
m is the slope, which is the increase in y when x increases by 1.
b is the y-intercept, which is the value of y when x = 0.
The cost, y, to print x T-shirts is y=1.5x+20.
Slope of 1.5 means that the printing of each new t-shirt is of $1.50.
The y-intercept of 20 means that the fixed cost, that is, the cost without printing the t-shirts, only the design, is of $20.
Find the value of x.
Plsss help
Answer:
x=6
Step-by-step explanation:
7x+5+13x-8+11x-3=180
31x-6=180
31x=186
x=186÷31
x=6
I wrote the wrong answer so I erased it
Two planes intersect in a line
O always
O sometimes
O never
Answer:
B.) Sometimes
Step-by-step explanation:
m + m + m + m = 4 + m
Answer:
4m=4+m
4m-m=4
3m=4
m=4/3
hope this helps:)))
HELP ASAP!!!hahahahsna s densllalsjdnd dnsksk
Answer:
A = (-7,6)
B = (2,4)
C = (-6,0)
Step-by-step explanation:
A = (-9 + 2, 2 + 4)
B = (0 + 4, 0 + 4)
C = (-8 + 2, -4 + 4)
i need help ASAP
Show your work: x - 8 = 12
Answer:
x = 20
Step-by-step explanation:
x - 8 = 12 Add 8 to both sides
x -8 + 8 = 12 + 8 Add -8 and 8; add 12 and 8
x = 20
Answer: x=20
Step-by-step explanation: Just do 12 + 8, addition is the opposite of subtraction so if you need to find the answer just do it backwards, 12 + 8 = 20. Hope this helps
Which of these groups of values plugged into the TVM Solver of a graphing calculator will give the monthly payment for a 30-year loan for $265,000 at 5.9% interest, compounded monthly? A. N=360; 1% = 5.9; PV=0; PMT=; FV=-265000; P/Y=12; C/Y=12; PMT END O B. N=30; 1% = 5.9; PV=0; PMT= ; FV=-265000; P/Y=12; C/Y=12; PMT:END O C. N=360, 1% = 5.9; PV=-265000; PMT=; FV=0; P/Y=12; C/Y=12; PMT:END D. N=30; 1% = 5.9; PV=-265000; PMT=; FV=O; P/Y=12; C/Y=12; PMT:END
The groups of values plugged into the TVM Solver of a graphing calculator will give the monthly payment for a 30-year loan for $265,000 at 5.9% interest, compounded monthly are,
N=360, 1% = 5.9; PV=-265000; PMT=; FV=0; P/Y=12; C/Y=12; PMT:END.
The correct option is C.
What is compound interest rate?Compound interest is computed as interest on the principle of an account plus any accrued interest.
Compound interest can be calculated using the following formula:
x = P (1+r/n
,where x = compound interest
P = principal (the initial deposit or loan amount)
r = annual interest rate
n = the number of compounding periods per unit of time
t = the number of time units the money is invested or borrowed for
Given:
TVM Solver of a graphing calculator will give the monthly payment for a 30-year loan for $265,000 at 5.9% interest, compounded monthly.
Then,
N: The overall amount of payments. Calculating this is simple if you multiply the P/Y by the number of years.
I%: Interest rate per year. Enter this rate as a percentage at all times!
Present Value, or PV: This is the sum of your investment or the loan.
PMT: The sum due.
Future Value (FV): This is your desired level of savings or, if you are calculating loans, your projected loan balance at maturity.
P/Y: The quantity of payment intervals per year.
C/Y: The quantity of compounding cycles each year.
N=360, 1% = 5.9; PV=-265000; PMT=; FV=0; P/Y=12; C/Y=12; PMT:END
Therefore, N=360, 1% = 5.9; PV=-265000; PMT=; FV=0; P/Y=12; C/Y=12; PMT:END.
To learn more about the compound interest rate;
https://brainly.com/question/13307568
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Maria solved a math homework problem incorrectly.
Given 7(3x + 4 + x) - 4x + 8
Step 1: 7(4x + 4) - 4x + 8
Step 2: 28x + 4- 4x + 8
Step 3: 28x - 4x + 4 + 8
Step 4: 24x + 12
Between which two steps is Maria's first mistake seen?
Given and Step 1
Step 1 and Step 2
Step 2 and Step 3
Step 3 and Step 4
The first mistake in Maria's solution is seen in between Step 1 and Step 2
Given that Maria solved math homework problem incorrectly
the steps of the procedure followed by Maria is given as follows
Given 7(3x + 4 + x) - 4x + 8
Step 1: 7(4x + 4) - 4x + 8
Step 2: 28x + 4- 4x + 8
Step 3: 28x - 4x + 4 + 8
Step 4: 24x + 12
According to the given expression we can write the solution in the following steps
[tex]\rm Given \; \; 7(3x +4+x) -4x +8 \\ Step\; 1 :\; \; 7(4x +4) -4x +8 \\Step\; 2 : \; \; 28x+28 -4x +8 \\Step \; 3 :\; \; 24x + 28 + 8 \\Step\; 4 : \; \; 24x + 36[/tex]
On comparing with given steps of the question we can clearly say that the first mistake in Maria's solution is seen in between Step 1 and Step 2
For more information please refer to the link given below
https://brainly.com/question/19126818
GIVING OUT BRAINLEST ANSWER !! TO WHOEVER GIVES THE CORRECT ANSWERRRR HELPPPPPPP PLSSSSSSSS
Answer:
Your answer would be
X= 5
PLS HELP ME
The smallest hummingbird is the Bee hummingbird. It has a mass of about 1
1
4
grams. The mass of a larger type of hummingbird is about 6 times the mass of the Bee hummingbird.
What is the mass of the larger hummingbird?
Answer:
The mass of the larger hummingbird is 7 1/2 or 15/2.
Step-by-step explanation:
Bee hummingbird = 1 1/4g
Larger hummingbird = 6x that
So,
1 1/4 x 6 = 7.5
7.5 as fraction = 7 1/2 or 15/2
NEED HELP PLEASE
We described numbers in this lesson using both powers of 10 and using standard decimal value. For example, the speed of light through ice can be written as a multiple of a power of 10, such as (2.3)⋅108 meters per second, or as a value, such as 230,000,000 meters per second. Use the number line to answer questions about points A and B.
Describe point B as:
a. A multiple of a power of 10
____ x 10 ^ ____
b. A value
_______
Describe point A as:
a. A multiple of a power of 10
_____ x 10 ^ _____
b. A value
______
Answer:
Step-by-step explanation:
B = 2×10⁸
A = 3×10⁸
STD 10
maths
If the ratio of areas of two similar triangles is 9 : 4, then the ratio of its corresponding sides is .
(a) 9 : 4 (b) 4 : 9 (c) 3 : 2 (d) 81 : 16
Answer:
The answer is c
Step-by-step explanation:
If the area of the two triangles are similar, then Area of ∆ 1 : Area of ∆ 2 =
(Side of ∆ 1)² : (Side of ∆ 2)²
____________________________
Since the area of each triangle is equal to the corresponding side squared.
Area of ∆ = (Side of ∆)² →
√(Area of ∆) = Side of ∆ →
Side of ∆ = √(Area of ∆).
Therefore:
9 : 4 → √9 : √4 = 3 : 2
Write the equation of b with center b(-2,3) and radius 10.
Answer:
(x+2)^2+(y-3)^2=100
Step-by-step explanation:
so the equation is (x-h)^2+(y-k)^2=r^2
(h,k)=center
r^2=radius
in this case (h,k)=(-2,3)
r^2=r^2
10^2=100
(x-(-2))^2+(y-3)^2=100
Hope fully that helps :)
Which situation can be solved using the expression shown?
(30)
of the 30 students in the class,
are wearing jackets. How many students in the class are wearing jackets?
of the 30 students in the class, brought their lunch. How many students in the class did not bring their lunch?
In a survey, 2 out of 3 people chose Product A over Product B. If 30 people were surveyed, how many people chose Product B?
In a bag of marbles, 2 out of every 3 marbles are red. If there are 30 red marbles in the bag, what is the total number of marbles in the bag?
Answer:
h
Step-by-step explanation:
I will mark you brainalist
Answer:
-3,3 this is because that is where both of the lines intersect making them both a solution for both equations.
Step-by-step explanation:
Answer:
B. (-3, 3)
Step-by-step explanation:
Point of intersection of both the lines is the solution to both the equations.
Both the lines are intersecting each other at point (-3, 3)
So, ordered pair of solution is (-3, 3)
Let X and Y be the following sets:
X = {10,20,30}
Y = {5, 10, 15, 20}
Which of the following is the set XY?
Answer:
{10;20}
Step-by-step explanation:
X & Y = {10;20}
What is the resulting cross section if the cheesecake was sliced parallel to its points?
Answer:
Step-by-step explanation:
??What is parallel to a point?
If the cut is parallel to the cut-off point, the cross-section is a rectangle.