The point which would lie on the graph of f(x) = log2x is; (1, 0.301).
Which point would lie on the graph of f(x) = log2x?Since it follows from the task content that the given point (–1, 0.5) lies on the graph of f –1(x) = 2x.
The subsequent graph of f(x) = log2x would result from taking logarithms in which case, we have the graph passing through points determined as follows;
f(x) = log2^x
f(x) = x log2
Hence, when x = 1;
f(1) = 1log 2
Hence, we have point; (1, 0.301).
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Which equations are examples of the Distributive Property of Multiplication over Addition? (Choose 2)
Answer: 5(5 + 9). This expression can be solved by multiplying 5 by both the addends. So, 5(5) + 5(9) = 25 + 45 = 70.
Step-by-step explanation:
The stemplot below represents the number of bite-size snacks grabbed by 10 students in an activity for a statistics class. A stemplot titled number of snacks. The stems are 1, 2, 3, 4. The first column of leaves is 5, 0, 2, 2. Column 2 is 6, 1, blank, blank, Column 3 is 6, 3, blank, blank. Column 4 is 7, blank, blank, blank, Column 5 is 9, blank, blank, blank. Key 2 slash 4 is a student who grabbed 24 snacks. What is the correct set of data for the stemplot? 15, 16, 17, 19, 20, 21, 23, 32, 42 15, 16, 16, 17, 19, 21, 23, 32, 42 15, 16, 16, 17, 19, 20, 21, 23, 32, 42 15, 15, 16, 17, 19, 20, 21, 23, 32, 42
The correct set of data are 15, 16, 16, 17, 19, 20, 21, 23, 32, 42.
According to the question
Using the key: 2|4 = 24, the following are the set of data represented by the stem-and-leaf plot showing:
Row one, 1| 5 6 6 7 9 :
This means there are 5 data set for the first row which are:
15, 16, 16, 17, 19
Row two, 2|0 1 3 :
There are 3 data here, which are:
20, 21, 23
Row 3, 3|2: = 32
Row 4, 4|2: = 42
So, The correct set of data are 15, 16, 16, 17, 19, 20, 21, 23, 32, 42.
Correct option is C.
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write the whole number as an equivalent fraction with the given denominator.
3= 4
Answer: 12/4
Step-by-step explanation: whole number = 3. given denominator = 4. 4/4 = 1. 1 times 3 = 3. 4 plus 4 plus 4 = 12. therefore answer is 12/4
120 increased by d percent and increased by 25 percent. what is the result?
Using proportions, the expression for the final amount is:
150(1+d).
What is a proportion?A proportion is a fraction of a total amount, and the measures are related using a rule of three.
For this problem, we have that:
The increase of d% is equivalent to a multiplication by (1 + d).The increase of 25% is equivalent to a multiplication by 1.25.Hence the equivalent expression is:
120 x 1.25 x (1 + d) = 150(1+d).
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Assume a firm reports net income of 84,000 prior to making adjusting entries for expired rent $6400, depreciation 7600 and supplies used 3,000
Assume that the entries have not been made What effect do these errors have on the reported net income
Assume that the entries have not been made. The effect that these errors have on the reported net income is: Net income will be overstated by $17,000.
Net incomeUsing this formula
Net income=Expired rent+Depreciation+Supplies
Let plug in the formula
Net income=$6400+$7600+$3000
Net income=$17,000 (Overstated)
Therefore the net income will be overstated by $17,000.
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A shop has this offer.
£5 reduction if you spend more than £100
or
£10 reduction if you spend more than £140
or
£20 reduction if you spend more than £180
At the shop, shirts cost £49 each.
Tim buys 3 shirts
Craig buys 5 shirts
How much more than Tim does Craig pay?
Optional working
Answer: £
+
The amount of money Craig paid more than Tim if the shop has an offer of reduction if a particular amount is spent is £88.
How much more than Tim does Craig pay?The shop discount:
£5 reduction if you spend more than £100
or
£10 reduction if you spend more than £140
or
£20 reduction if you spend more than £180
Cost of a shirt = £49
Tim buys 3 shirts
Total cost of Tim's shirt = £49 × 3
= £147
Amount Tim paid = £147 - £10
= £137
Craig buys 5 shirts
Total cost of Craig's shirt = £49 × 5
= £245
Amount Craig paid = £245 - £20
= £225
Difference between Tim and Craig's pay = £225 - £137
= £88
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suppose you are conducting a survey about the amount grocery store baggers are tipped for helping customers to their cars .for a similar simulated population with 50 respondents the population mean is $1.73 and the standard deviation is $0.657
about 68% of the sample mean fall with in the intervals $_______ and $________
about 99.7% of the sample mean fall with in the intervals of $-------- and $
Using the Empirical Rule and the Central Limit Theorem, we have that:
About 68% of the sample mean fall with in the intervals $1.64 and $1.82.About 99.7% of the sample mean fall with in the intervals $1.46 and $2.What does the Empirical Rule state?It states that, for a normally distributed random variable:
Approximately 68% of the measures are within 1 standard deviation of the mean.Approximately 95% of the measures are within 2 standard deviations of the mean.Approximately 99.7% of the measures are within 3 standard deviations of the mean.What does the Central Limit Theorem state?By the Central Limit Theorem, the sampling distribution of sample means of size n has standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].
In this problem, the standard deviation of the distribution of sample means is:
[tex]s = \frac{0.657}{\sqrt{50}} = 0.09[/tex]
68% of the means are within 1 standard deviation of the mean, hence the bounds are:
1.73 - 0.09 = $1.64.1.73 + 0.09 = $1.82.99.7% of the means are within 3 standard deviations of the mean, hence the bounds are:
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Answer:
About 68% of the sample means fall within the interval $1.64 and $1.82.
About 99.7% of the sample means fall within the interval $1.45 and $2.01.
Step-by-step explanation:
To verify the given intervals, we need to calculate the standard error of the mean (SE) for a sample size of 50 using the population mean and standard deviation provided.
The standard error of the mean (SE) can be calculated as:
SE = population standard deviation / √(sample size)
Given that the population mean is $1.73 and the population standard deviation is $0.657, and the sample size is 50:
SE = $0.657 / √50 ≈ $0.09299 (rounded to 5 decimal places)
Now, we can calculate the intervals:
For the interval where about 68% of the sample means fall:
Interval = (Mean - 1 * SE, Mean + 1 * SE)
Interval = ($1.73 - $0.09299, $1.73 + $0.09299)
Interval ≈ ($1.63701, $1.82299)
So, about 68% of the sample means fall within the interval $1.64 and $1.82, which matches the given statement.
For the interval where about 99.7% of the sample means fall:
Interval = (Mean - 3 * SE, Mean + 3 * SE)
Interval = ($1.73 - 3 * $0.09299, $1.73 + 3 * $0.09299)
Interval ≈ ($1.54703, $1.91297)
So, about 99.7% of the sample means fall within the interval $1.55 and $1.91, which is different from the given statement.
The correct interval for about 99.7% of the sample means, rounded to the nearest hundredth, is $1.55 and $1.91, not $1.45 and $2.01 as mentioned in the statement.
Name the figure below in two different ways!
Need help fast!
Answer:
IM and YM
Step-by-step explanation:
not sure about the symbol part, but it's a ray !!
Answer: IM and YM
Step-by-step explanation:
It can be broken down into to different rays
A procedure has an 81% success rate. The procedure is tried on 12 patients what is the probability that at least 8 patients show improvement
The probability that at least 8 patients show improvement is; 0.94
How to use Binomial Probability Distribution?The formula for Binomial Probability Distribution is;
P(X = r) = nCr * p^(r) * (1 - p)^(n - r)
where;
n = number of trials
r = number of specific events you wish to obtain
p is probability of success
From the question, we have;
n = 12
r = 8
p = 81% = 0.81
The probability that at least 8 patients show improvement is expressed as;
P(X ≥ 8) = P(X = 8) + P(X = 9) + P(X = 10) + P(X = 11) + P(X = 12)
Using online binomial probability calculator gives us;
P(X ≥ 8) = 0.11954 + 0.22649 + 0.28967 + 0.22453 + 0.07977
P(X ≥ 8) = 0.94
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Find the root of the function f(x)=−4x+1.
Answer: A
Step-by-step explanation:
[tex]-\frac{4}{x}+1=0\\\\1=\frac{4}{x}\\\\x=4[/tex]
You have customers of the following ages, what is the median age of your customer base? 20, 25, 30, 35, 40, 45, 50, 55, 60, 65, 70
The median age of your customer base = 45
What is median?The median is the value that divides a data sample, a population, or even a probability distribution's upper and lower halves in statistics and probability theory. It could be referred to as "the middle" value for a data set. The fundamental difference between the mean and the median when describing data is that the median is more representative of the "typical" value because it is not skewed by the a small proportion of extremely large or small values. Due to the fact that income distribution can be highly skewed, the median income, for instance, might be a better indicator of what is considered a "typical" income.
Mean = middle term
= 6th term
= 45
Hence, Median of age = 45.
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WILL GIVE BRAINLIEST
1. Write an expression for each of the following:
a. the sum of 6 and z
b. the difference between 20 and x
c. 8 less than the quotient of x divided by 6
d. x increased by 5 divided by 4
The expressions for each of the given statements are
a. 6 + z
b. 20 - x
c. x/6 - 8
d. x + 5/4
Writing an expressionFrom the question, we are to write an expression for each of the given statement
a. the sum of 6 and z
That is,
6 + z
b. the difference between 20 and x
That is,
20 - x
c. 8 less than the quotient of x divided by 6
That is,
x/6 - 8
d. x increased by 5 divided by 4
That is,
x + 5/4
Hence, the expressions for each of the given statements are
a. 6 + z
b. 20 - x
c. x/6 - 8
d. x + 5/4
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graph
Y=-2x-3 and y=-x+6
Answer:
here ya go :)
the black line is y=-2x-3
the lavender line is y=-x+6
ABCD is a rectangle, with M the midpoint or BC and N the midpoint of CD. If CM=4 and NC=5, what percent of the area of the rectangle is shaded
Answer:
87.5%
Step-by-step explanation:
Given:
⇒ ABCD is a rectangle, with M the midpoint of BC and N the midpoint of CD.⇒ CM = 4 and NC = 5.Area of triangle NCM
⇒ 1/2 × base × height
⇒ 1/2 × CN × CM
⇒ 1/2 × 5 × 4
⇒ 10cm²
Length of rectangle ⇒ 10
Breadth of the rectangle ⇒ 8
↓
Area of rectangle ⇒ Length × Breadth
Area of rectangle ⇒ 10 × 8 = 80cm²
Area of shaded region ⇒ Area of rectangle - Area of triangle
Area of shaded region ⇒ 80 - 10 = 80cm²
Percentage of the shaded region = Shaded/complete rectangle × 100
⇒ 70/80 × 100 = 87.5
⇒ The percent of the area of the rectangle shaded is therefore 87.5%.
Sheffield corporation shipped $20400 of merchandise on a consignment to Gooch company. Sheffield paid frieght cost of $2000. Gooch company paid $480 for local advertising wich is reimbursed from Sheffield . By year end 62% of the merchandise had been sold for $21500.Gooch notified Sheffield , retained a 10% commission , and remitted the cash due Sheffield . Prepare sheffield journal entry when the cash is received
The appropriate journal entry when the cash is received is: Debit Cash $18,870, Debit Advertising expense $480, Debit Commission expense $2,150, Credit Revenue from consignment sales $21,500.
Journal entrySheffield corporation entries
Debit Cash $18,870
[$21500-($480+ ($21500×10%))]
Debit Advertising expense $480
Debit Commission expense $2,150
(21,500×10%)
Credit Revenue from consignment sales $21,500
Debit Cost of goods sold $13,888
[($20400+$2000)×62%]
Credit Inventory on consignment $13,888
Therefore journal entry when the cash is received is: Debit Cash $18,870, Debit Advertising expense $480, Debit Commission expense $2,150, Credit Revenue from consignment sales $21,500.
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3. A line with a slope of passes through the point (10,-5).
The equation of the line in slope intercept form
can be given by the formula y = mx + b
where m=
and b =
√x
The equation of the line is y = -3/2x + 10
How to determine the line equation?The given parameters are:
Slope, m = -3/2
Point, (x, y) = (10, -5)
The line equation is represented as
y = mx + b
Substitute the given parameters in the equation
-5 = -3/2 * 10 + b
This gives
-5 = -15 + b
Add 15 to both sides
b = 10
So, we have:
y = -3/2x + 10
Hence, the equation of the line is y = -3/2x + 10
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f f(x) = 3x + 2 and g(x) = x2 + 1, which expression is equivalent to (f circle g) (x)?
hi
f°g mean apply g(x) and then use result of g(x) as "x" in f(x)
so as g(x) = x² +1 and f(x) = 3x+2
so if we call g(x) X we have
f( X) = 3 X +2
now we replace " X" for it's value
f(X) = 3 ( x² +1) +2
f(X) = 3x² +3 +2
f(X) = 3x² +5
so f°g = 3x² +5
I need help with this geometry question asap!
Answer: Answer C is correct, 50.9.
Write equation for horizontal line and vertical lines passing through the point of 0 and 7
Answer:
Step-by-step explanation:
for horizontal line slope m=0
eq. of horizontal line at (0,7) with slope 0 is
y-7=0(x-0)
y-7=0
or
y=7
slope of vertical line=∝
eq of vertical line through (0,7) is
y-7=∝(x-0)
or
x-0=0(y-7)
x-0=0
or
x=0
DATE PAGE No. Demand 10 a) A ratio of two number is equal to 3:8. If the smaller number is 12, find the greater number:
From ratio concept, the greater number number is 32 .
What is the greater number from concept of ratio ?A ratio exists as an ordered pair of numbers a and b, written a / b where b does not equivalent to 0. A proportion exists in an equation in which two ratios stand set equal to each other. For example, if there exists 1 boy and 3 girls you could write the ratio as 1 : 3 (for every one boy there exist 3 girls)
Let the greater number be x .
The ratio given is 3:8 .
Thus, by the concept of ratio -
⇒ 3/8 = 12/x
⇒ x = (8/3 * 12)
∴ x = 32
Therefore, from ratio concept, the greater number number is 32 .
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I forgot how to find the range of values of x and I will be very much appreciated if I could get a step by step clear solution to get the answers!
The quadratic equation has the following results: (p, q) = (8, 15), minimum point: (h, k) = (1, 4), range of values: - 4 < x < - 3
How to analyze quadratic equations
In this question we have a quadratic equation of the form y = x² + p · x + q , whose missing coefficients can be found by solving on the following system of linear equations:
- 5 · p + q = - 25
- 3 · p + q = - 9
(p, q) = (8, 15)
The vertex represents the minimum point, which is found by changing the form of the equation from standard form into vertex form:
y = x² + 8 · x + 15
y + 1 = x² + 8 · x + 16
y + 1 = (x + 4)²
(h, k) = (1, 4)
And lastly we must solve for x in the following inequality:
x² + 8 · x + 15 < x + 3
x² + 7 · x + 12 < 0
(x + 3) · (x + 4) < 0
- 4 < x < - 3
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Give the opposite of each number. a. 3 b. –9 c. –5 d. 12 Solve each of the following problems. a. 9 + (–6) = ? b. (–5) + 8 = ? c. (–12) + (–6) = ? d. 10 – (–8) = ? e. (–4) – (+2) = ? f. –9 – (–5) = ? Solve each problem. Be sure to include the correct sign in your answer. a. 8 × 3 = ? b. –7 × 5 = ? c. –6 × (–9) = ? d. 8 ÷ (–2) = ? e. –24 ÷ (–3) = ? f. –36 ÷ 6 = ?
Answer:
Give the opposite of each number : a. -3; b. 9; c. 5; d. -12
Solve each of the following problems : a. 3; b. 3; c. -18; d. 18; e. -6; f. -4
Solve each problem. Be sure to include the correct sign in your answer :
a. 24; b. -35; c. 54; d. -4; e. 8; f. -6
Answer:
Step-by-step explanation:
1.a. –3
b. 9
c. 5
d. –12
2. a. 9 + (–6) = 3
b. (–5) + 8 = 3
c. (–12) + (–6) = –18
d. 10 – (–8) = 18
e. (–4) – (+2) = –6
f. –9 – (–5) = –4
3. a. 8 × 3 = 24
b. –7 × 5 = –35
c. –6 × (–9) = 54
d. 8 ÷ (–2) = –4
e. –24 ÷ (–3) = 8
f. –36 ÷ 6 = –6
5. Multiply the service charge by the number of months in a year.
12 × 7 = $84
Answer: $84 is deducted per year.
6. Add the balance of each year to determine the closing balance.
–$1500 + (–$1200) = –$2700
penn foster
The functions f(x) and g(x) are described using the following equation and table: f(x) = −6(1.05)x x g(x) −4 −9 −2 −6 0 −3 2 2 Which equation best compares the y-intercepts of f(x) and g(x)? The y-intercept of f(x) is equal to the y-intercept of g(x). The y-intercept of f(x) is equal to 2 times the y-intercept of g(x). The y-intercept of g(x) is equal to 2 times the y-intercept of f(x). The y-intercept of g(x) is equal to 2 plus the y-intercept of f(x). Question 12(Multiple Choice Worth 1 points) (01.04 MC) A store manager can spend at most $1,000 a day for operating costs and payroll. It costs $100 each day to operate the store and $30 dollars a day for each employee. Use the following inequality to determine how many employees the manager can afford for the day, at most: 30x + 100 ≤ 1000 x ≥ 30 x ≥ 33 x ≤ 33 x ≤ 30 Question 13(Multiple Choice Worth 1 points) (02.01 LC) Which of the following tables represents a function? x 1 −1 4 −4 y 8 8 10 10 x 2 2 3 3 y 6 −6 7 7 x 5 −5 5 −5 y 10 11 12 13 x 2 2 7 7 y 2 3 4 5 Question 14(Multiple Choice Worth 1 points) (01.06 LC) Joy needs 8 feet of fabric for a project she is working on, but the store only sells the fabric in meters. One meter of fabric costs $1.15. How much will the fabric cost? [1 ft = 0.305m] $9.20 $2.12 $2.81 $30.16 Question 15(Multiple Choice Worth 1 points) (04.02 LC) What is the solution to the following system of equations? x − 3y = 5 2x + y = 10 (5, 0) (0, 5) (7, 0) (0, 7) You must check the box below prior to submitting your exam! Check this box to indicate you are ready to submit your exam Instructors monitor ALL areas of a student's account Student e-mail accounts are to be used for FLVS course-related email only and not for general introductions or spamming of people in your address book. Please remember to click the Logoff link when you have completed your work in the course. FDK191.12
Based on our examination of the y-intercepts, we can deduce that the y-intercept of function f(x) is equivalent to two times the y-intercept of function g. (x)
What is the examination of the y-intercept?The value of the function at the point where the value of x is equal to zero is known as the y-intercept.
f(x)=-6(1.05)^x
Considering x
x=0
f(0)=-6(1.05)^0
f(0)=-6(1)
f(0)=-6
Therefore, the y-intercept is point (0,-6)
Generally, the equation for the function of the y-intercept of g(x) is mathematically given as
From table
at x=0
The y-intercept is the point (0,-3)
Based on our examination of the y-intercepts, we can deduce that the ty-intercept of function f(x) is equivalent to two times the y-intercept of function g. (x)
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Find the vertex, focus and diretrix of x^2+4x-12y=-64
It needs to be in (x-h)^2=4p(y-k) form
Vertex of the equation is (-2, 5)
Focus of the equation is (-2, 8)
Directrix of the equation is 2
What is a Quadratic curve?
A quadratic curve is a parabolic curve is a graph of the points which define a quadratic function. It shows how a function behaves in the cartesian plane.
Quadratic curve may bend upwards, or downwards depending on the gradient of the curve.
Analysis:
setting the equation in the form, [tex]x^{2}[/tex] +4x -12y = -64 in the form [tex](x-h)^{2}[/tex] = 4p(y-k)
Firstly we take -12y to the right hand side
[tex]x^{2}[/tex] +4x = 12y - 64
Making the left hand side a perfect square expression, we square both sides with -2
[tex]x^{2}[/tex] +4x + [tex](2)^{2}[/tex] = 12y -64 + [tex](2)^{2}[/tex]
[tex](x+2)^{2}[/tex] = 12y -60
[tex](x+2)^{2}[/tex] = 12(y - 5)
comparing with the other equation
-h = , h = -2, -k = - 5 k = 5, 4p = 12, p = 3
Vertex is (h, k) = (-2, 5)
Focus is (h, k+p) = (-2, 5+3) = (-2, 8)
Directrix is y = k-p = 5 - 3 = 2
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spent a total of $5.58 for carrots, priced at $0.90 per pound. How many pounds of
carrots did Trina buy?
Answer:
6.2 pounds
Step-by-step explanation:
$5.58 / $.9 = 6.2 pounds of carrots bought
p% of m change into an algebraic expression.
The expression p% of m changed into an algebraic expression is pm/100
Percentagep% of m
= p% × m
= p/100 × m
= (p × m) / 100
= pm/100
Therefore, the expression p% of m changed into an algebraic expression is pm/100
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m∠ __ +m∠BPD=180∘
what is the blank for Linear Pairs
The blank space to form a linear pair with m∠BPD is m∠APD.
What are linear pair angles?Linear pair of angles are formed when two lines intersect each other at a single point.
Linear pair angles are adjacent to each other.
Therefore, the sum of a linear pair angles is equals to 180 degrees.
This means linear pair angles are supplementary.
Hence,
m∠APD + m∠BPD = 180°
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What is the value of z in the equation 4(2z + 3) = 12?
−13
12
0
12
Answer:
0
Step-by-step explanation:
8z +12 = 12
8z = 0
z =0
Answer:
The answer is 0
Step-by-step explanation:
4(2z+3)=12?=
We use the distributive property to distribute the 4 into the 2.
8z=3=12?=
8 + 3 is 12 so the z has no part to play in this.
z=0
You could also have divided from both sides of the equation, but doing it this way is easier for me.
HELLO! I need aid with my assignment please, all the equations and to be solved. Please!
By using excel sheet we can get the answers for the difference t test.
The two kinds of formula are used in the excel . One from the data analysis the t test assuming equal variances as nothing was mentioned.
But if the t test for the means is used there might be slight variation in the values.
The other formula was of descriptive statistics.
The data was
No of feedback (sec) Feedback (sec) Difference
45 54 9
33 50 17
59 58 -1
32 38 6
30 42 12
27 35 8
29 38 9
59 66 7
64 65 1
38 55 17
For values between 3.6 and 13.2 we are 95% confident that there is no difference between the means of two given data values.
The null hypothesis is accepted because t stat= -1.322 is less than t critical which is t critical= ±2.119 and lies in the acceptance region.
The p- value is 2.04 which is greater than alpha= 0.05
The t stat for 0.01= 4.561578674 and t Critical two-tail 3.249835541
The t stat is greater than t critical at alpha 0.01 so it is rejected.
The difference t test gives
Count=N 9 9
Mean 41.2 49.67
Mean Difference 8.4
Standard Deviation 14.967 11.97
Variance 223.944 143.25
Standard Error 2.0824
t = -1.322
df = 16
t Critical two-tail 2.119905285
Confidence Level(95.0%) 4.802039614
Lower CI (95.0%) = 3.6
Upper CI(95.0%)= 13.2
t stat for 0.01= 4.561578674
t Critical two-tail 3.249835541
Confidence Level(99.0%) 6.055710988
Lower CI (99.0%) = 2.345
Upper CI(99.0%)= 14.457
For values between 3.6 and 13.2 we are 95% confident that there is no difference between the means of two given data values.
The null hypothesis is accepted because t stat= -1.322 is less than t critical which is t critical= ±2.119 and lies in the acceptance region.
The p- value is 2.04 which is greater than alpha= 0.05
The t stat for 0.01= 4.561578674 and t Critical two-tail 3.249835541
The t stat is greater than t critical at alpha 0.01 so it is rejected.
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Explain the difference between using area and volume with 2-D and 3-D figures.
The difference between using Area and Volume with 2D and 3D figures is that Area is a measure of square units while Volume is a measure of cubic units.
What is the difference between Area and Volume?The area of an object is the measure of space occupied by the two-dimensional object (flat) in a plane. Volume on the other hand is the quantity of space occupied by the object, 3-dimensional object in this case. The unit of area is in square units. The unit of volume is in cubic units.
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