Adjoa's got 4265.46 Ghc as his take home pay for the past month.
The question gave us his gross salary, which means everything he earned. At the same time, giving us a particular number as deduction. To calculate the net salary, all we have to do is to subtract the deduction from the gross salary, And thus;
4687.24 - 421.78 = 4265.46 Ghc
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If y varies directly with x and y = 6 when x = 2, what is the constant of variation, k? a. 12 c. 3 b. 2 d. 4 Please select the best answer from the choices provided A B C D
What is the length of the diagonal of the square shown below? 5 45° 5 5 90° 5 O A. 5
B. 10
C. 5
D. 5/5
E. 5.2
F. 25
The length of the diagonal of the square is d = 5√2.
Given that, the measure of the side of the square is 5.
We need to find the length of the diagonal of the square.
How to find the length of the diagonal of the square?The diagonal of a square formula is d = a√2; where 'd' is the diagonal and 'a' is the side of the square.
Now, d = 5√2
Therefore, the length of the diagonal of the square is d = 5√2.
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Assume that a simple random sample has been selected from a normally distributed population. Find the test statistic t.
Test the claim that the mean lifetime of a particular car engine is greater than 220,000 miles. Sample data are summarized as n = 23, x-bar = 226,450 and s=11,500. Use a significance level of 5%. Determine the p-value.
0.993
0.007
0.05
0.018
0.004
Using the t-distribution, it is found that the p-value of the test is 0.007.
At the null hypothesis, it is tested if the mean lifetime is not greater than 220,000 miles, that is:
[tex]H_0: \mu \leq 220000[/tex]
At the alternative hypothesis, it is tested if the mean lifetime is greater than 220,000 miles, that is:
[tex]H_1: \mu > 220000[/tex].
We have the standard deviation for the sample, thus, the t-distribution is used. The test statistic is given by:
[tex]t = \frac{\overline{x} - \mu}{\frac{s}{\sqrt{n}}}[/tex]
The parameters are:
[tex]\overline{x}[/tex] is the sample mean. [tex]\mu[/tex] is the value tested at the null hypothesis. s is the standard deviation of the sample. n is the sample size.For this problem:
[tex]\overline{x} = 226450, \mu = 220000, s = 11500, n = 23[/tex]
Then, the value of the test statistic is:
[tex]t = \frac{\overline{x} - \mu}{\frac{s}{\sqrt{n}}}[/tex]
[tex]t = \frac{226450 - 220000}{\frac{11500}{\sqrt{23}}}[/tex]
[tex]t = 2.69[/tex]
We have a right-tailed test(test if the mean is greater than a value), with t = 2.69 and 23 - 1 = 22 df.
Using a t-distribution calculator, the p-value of the test is of 0.007.
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Cual es el ángulo que equivale a 4 ángulos rectos?
ayus lng ako hahaha hshshs
The grocery store is having a sale on frozen vegetables. 3 bags are being sold for $10.35. At this rate, what is the cost of 7 bags?
Answer:
24.15
Step-by-step explanation:
10.35 x 2 = 20.7 But you still need 1 bag 1/3 of 10.35 = 3.45 Add all of them up = 24.15
I have to write something here to send a question)
Answer:
how many children do you have?
Step-by-step explanation:
you said ask a question
The product of the Roots of the quadratic equation 2x² + 5x - 7 = 0 is
Product of roots
[tex]\\ \sf \longmapsto \dfrac{c}{a}[/tex]
[tex]\\ \sf \longmapsto \dfrac{-7}{2}[/tex]
Can someone help me understand this and give me the answer?
Given that the function graphed is ƒ(x), what is ƒ(1)?
A) −2
B) −1
C) 1
D) 2
Answer: -2
Step-by-step explanation:
OMG I NEED HELP BADLY RN
In which quadrant does the point (3 , 19) lie?
A.
Quadrant I
B.
Quadrant II
C.
Quadrant IV
D.
Quadrant III
Answer:
Quadrant I
Step-by-step explanation:
There are four quadrants that go like this.
Quadrant I = Top Right
Quadrant II = Top Left
Qudrant III = Bottom Left
Quadrant IV = Bottom Right
As long as you can graph an equation you just need to remember the quadrants.
Which equation matches the graph?
Answer:
Option C): f(x) = 3x - 4.
Step-by-step Explanation:
What is a Linear Function in Slope-intercept Form?A linear function in slope-intercept form is given by f(x) = mx + b where:
"m" represents the slope, which is the measure of steepness and orientation of a nonvertical line. "b" represents the y-coordinate of the y-intercept, (0, b). The y-intercept is the point on the graph where the line intersects the y-axis. It is also the point where the x-coordinate equals to zero.How to solve for the slope?We can solve for the slope by using the following formula:
[tex]\displaystyle\mathsf{Slope\:(m)\:=\:\frac{Rise}{Run}\:=\Bigg(\frac{y_2-y_1}{x_2 - x_1}\Bigg)}[/tex]
Choose two points from the graph and substitute their values into the slope formula.
(x₁, y₁) = (2, 2)(x₂, y₂) = (0,-4)[tex]\displaystyle\mathsf{Slope\:(m)\:=\Bigg(\frac{y_2-y_1}{x_2 - x_1}\Bigg)\:=\:\Bigg(\frac{2-(-4)}{2-0}\Bigg)\:=\:\Bigg(\frac{2+4}{2}\Bigg)\:=\:\frac{6}{2}\:\:=\:3}[/tex]
Therefore, the slope of the line is 3.
How to find the y-intercept (b)?As defined in the previous section of this post, the y-intercept (0, b) is the point on the graph where it crosses the y-axis. We can see that the line intersects the y-axis at point (0, -4). This means that the value of our y-intercept, b, is -4.
Finding the y-intercept algebraically.Alternatively, we can solve for the y-intercept (b) by choosing a point on the graph and substitute its values into the slope-intercept form.
We will use and substitute the values of (x₁, y₁) and the slope into the function to solve for b.
(x₁, y₁) = (2, 2)Slope (m ) = 3f(x) = mx + b
⇒ 2 = 3(2) + b
⇒ 2 = 6 + b
⇒ 2 - 6 = 6 - 6 + b
⇒ -4 = 0 + b
⇒ - 4 = b
Hence, the value of the y-intercept is: b = 4.
Final Answer:Based from our calculations, we can infer that the linear function that matches the graph is Option C: f(x) = 3x - 4.
__________________________Keywords:Linear functions
Linear equations
Slope-intercept form
_______________________________
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Answer:
f(x)=3x-4
Step-by-step explanation:
A plumber has a fixed call out rate of $80 and has an hourly rate of $60
Answer:
do FYI kkkkkkjjj ghost oh go j
The expression for the total cost will be y = 80 + 60x.
What is an expression?Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.
Given that a plumber has a fixed call-out rate of $80 and an hourly rate of $60.
The expression will be formed by assuming the hourly rate to be x dollars. The expression will be written as below:-
y = 80 + 60x
Here y is the total cost 80 is the fixed cost and x is the hourly rate.
Therefore, the expression for the total cost will be y = 80 + 60x.
The complete question is given below:-
A plumber has a fixed call-out rate of $80 and an hourly rate of $60. Write an expression for the total cost.
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Consider the following functions. f1(x) = x, f2(x) = x2, f3(x) = 2x − 4x2 g(x) = c1f1(x) + c2f2(x) + c3f3(x) Solve for c1, c2, and c3 so that g(x) = 0 on the interval (−[infinity], [infinity]). If a nontrivial solution exists, state it. (If only the trivial solution exists, enter the trivial solution {0, 0, 0}.) {c1, c2, c3} = $$ Correct: Your answer is correct. Determine whether f1, f2, f3 are linearly independent on the interval (−[infinity], [infinity]).
9514 1404 393
Answer:
(c1, c2, c3) = (-2t, 4t, t) . . . . for any value of tNOT linearly independentStep-by-step explanation:
We want ...
c1·f1(x) +c2·f2(x) +c3·f3(x) = g(x) ≡ 0
Substituting for the fn function values, we have ...
c1·x +c2·x² +c3·(2x -4x²) ≡ 0
This resolves to two equations:
x(c1 +2c3) = 0
x²(c2 -4c3) = 0
These have an infinite set of solutions:
c1 = -2c3
c2 = 4c3
Then for any parameter t, including the "trivial" t=0, ...
(c1, c2, c3) = (-2t, 4t, t)
__
f1, f2, f3 are NOT linearly independent. (If they were, there would be only one solution making g(x) ≡ 0.)
What is the median number of this data set 15,33,51,75,51?
Answer:
51
Step-by-step explanation:
1. The median of a data set is the quantity that's in the middle of the data points. Before looking what number is in the middle, you have to order them from least to greatest.
15, 33, 51, 51, 752. Now, when crossing from left to right then left to right again, you end up with 51 in the middle.
Therefore, the median number is 51.
solve pls brainliest
Answer:
17.8 is the answer
Step-by-step explanation:
89/5 (the improper fraction of 17 4/5) divided is 17.8
Answer:
first method :
⅘ in decimal is 0.8 (4/5 = 8/10 = 0.8)
17 + 0.8 = 17.8
(this is the easiest method of doing this)
second method :
(17 × 5 + 4)/5
= 89/5
and dividing this u get 17.8
(but this is a lengthy method, as it will take time to devide)
Step-by-step explanation:
brainliest plz
solve pls brainliest
Answer:
Step-by-step explanation:
3.92,
solve this i dont know how to graph it pls tell
ASAP and i will give brainliest
Answer:
straight line through (0,4) and (2,0), shade everything above it
Step-by-step explanation:
First solve the equality, which will give you a straight line.
Then check if the inequality (the > sign) means you have to shade the area above or below it.
2x + y = 4 can easily be solved by first taking x=0, then you find y=4, hence (0,4) is a solution.
Then take y=0, then you find 2x = 4 so x=2, hence (2,0) is a solution.
Plot these two points and draw a line through them.
Now, since 2x+y has to be larger than 4, all the points to the right and above the line are valid. So that's the area you have to shade.
8-2n+3p has how many coefficients and how many variables??
PLEASE HELP ASAP
Answer:
2 coefficients
Step-by-step explanation:
2n,3p Are your Coefficients because they have variables
Step-by-step explanation:
-2 and 3 are coefficients while n and p are the variables
The tickets for a figure skating performance sold out in 4 hours. If there were 40,000 tickets sold, solve the equation 40,000−4x=0 to find the number of tickets sold per hour.
Answer: look it up
Step-by-step explanation:
A parking pass is $60 for a month or $5 for a day. At what point would it make more sense to purchase the monthly pass?
A penny weighs 0.8oz A stack of 20 pennies is 4.3cm in theory, how tall is a stack on 1 ton of pennies?
Answer:
Step-by-step explanation:
16 oz = 1 lb0.8 oz = 0.05 lb = 1 penny1 ton = 2000 lbs2000 x 20 = 40,000 pennies its all about conversions#SPJ2
Write an explanation to a friend about how you
would estimate 17 1/5 / 3 4/5.
Answer:
67/5
Step-by-step explanation:
17 1/5
17x5= 85 + 1= 86/5
3 4/5
3x5=15+4= 19/5
86/5 - 19/5=
86-19= 67/5
hope this helps!
Decide whether the relation defines y as a function of x. Give the domain and range.
x+y<14
Answer:
i think it is like this. < means less than
Step-by-step explanation:
let x be a and let y be any number less than 14.
a + 5 < 14
a + 5 < 14
a + 5-5 < 14-5
a + 0 < 9
a < 9
Find the quotient when (21x2 -52x + 32) is divided by (7x - 8).
1:3x + 3
2:3x + 4
3:3x + 2
4:3x - 4
Answer:
4:3x-4
Step-by-step explanation:
If a sum invested gains 10% each year how long will it be before it has doubled its
value?
Using an exponential equation, it is found that it will be 7.3 years before the value is doubled.
The equation for an increasing exponential function is given by:
[tex]A(t) = A(0)(1 + r)^t[/tex]
In which:
A(0) is the initial amount.r is the growth rate, as a decimal.In this problem:
Gains 10% each year, thus [tex]r = 0.1[/tex].The doubling time is t for which [tex]A(t) = 2A(0)[/tex], then:
[tex]A(t) = A(0)(1.1)^t[/tex]
[tex]2A(0) = A(0)(1.1)^t[/tex]
[tex](1.1)^t = 2[/tex]
[tex]\log{(1.1)^t} = \log{2}[/tex]
[tex]t\log{1.1} = \log{2}[/tex]
[tex]t = \frac{\log{2}}{\log{1.1}}[/tex]
[tex]t = 7.3[/tex]
It will be 7.3 years before the value is doubled.
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Pls help I’ll brainlest
The cat is not hungry, or doesn't like the can of tuna food, which is why they refused to eat it when it was given to them.
Try to give the cat the food again and see their reaction, if that fails, try to give the cat other foods and note the reaction to determine if the cat just doesn't like the tuna in a can or just wasn't hungry at the moment.
Lannie has 5/12 cups of chocolate chips. She needs 1/34 cups to make one batch of chocolate chip cookies. How many batches of chocolate chip cookies can she make?
Answer:
14 batches
Step-by-step explanation:
take 5/12 and 1/34 and find the lowest common factor (204) mult 5/12 by 17
85/204 and 1/34 by 6 is 6/204 figure out how many times 6 goes into 85 about 14.17
so 14 full batches
help me asp HELPPPPPPPPP ME
Answer:
C is the answer
Step-by-step explanation:
Because he have most tresures.
Answer: deep diving dan
Step-by-step explanation: he dived 26 times and found 104 treasure boxes
Which of the following are perfect squares? 2, 4, 6, 16, 20,25, x², x³, x¹⁵, x²⁰, x²⁵
Answer:
4, 16, 25, [tex]x^{2}[/tex], [tex]x^{20}\\[/tex].
Step-by-step explanation:
Answer:
16, 4, 25, x², x ²⁰
. . . . . . . .
An amusement park sells child and adult tickets at a ratio of 8:1. On Saturday, they sold 147 more child tickets than adult tickets. How many tickets did the amusement park sell on Saturday?
9514 1404 393
Answer:
189
Step-by-step explanation:
The difference between the ratio units is 8 -1 = 7.
The difference between child and adult ticket sales was 147 tickets, so each ratio unit stands for 147/7 = 21 tickets.
The total of the ratio units is 8+1 = 9, so 9 × 21 = 189 tickets were sold on Saturday.
__
That was 168 child tickets and 21 adult tickets.