Answer:
Average is 82
Step-by-step explanation:
88 + 73 + 81 + 83 + 79 + 73 + 97 = 574
Count of numbers = 7
574/7 = 82
A random sample of 130 students is chosen from a population of 4,500 students. The mean IQ in the sample is 120, with a standard deviation of 5. Using a margin of error of 1.13%, what is the 99% confidence interval for the students' mean IQ score?
Answer:
[tex]120-2.614\frac{5}{\sqrt{130}}=118.85[/tex]
[tex]120+2.614\frac{5}{\sqrt{130}}=121.15[/tex]
Step-by-step explanation:
Information given
[tex]\bar X= 120[/tex] represent the sample mean
[tex]\mu[/tex] population mean (variable of interest)
s=5 represent the sample standard deviation
n=130 represent the sample size
For this case we can't set a margin of error just with a % since they not specify 1.13% respect to something for this case we can omit this value
Confidence interval
The confidence interval for the mean is given by the following formula:
[tex]\bar X \pm t_{\alpha/2}\frac{s}{\sqrt{n}}[/tex] (1)
The degrees of freedom are given by:
[tex]df=n-1=130-1=129[/tex]
The Confidence level is 0.99 or 99%, the significance would be [tex]\alpha=0.01[/tex] and [tex]\alpha/2 =0.005[/tex], and the critical value would be [tex]t_{\alpha/2}=2.614[/tex]
And replacing we got:
[tex]120-2.614\frac{5}{\sqrt{130}}=118.85[/tex]
[tex]120+2.614\frac{5}{\sqrt{130}}=121.15[/tex]
A sales girl is paid a basic wage of $225 per week. In addition she is paid a commission of 5% on the value of goods she sells. How much commission will she be paid on sales amounting to $1,525 and what is her gross wage for the week?
Answer:
Commission = $76.25
Gross wage = $301.25
Step-by-step explanation:
First, we know her commission is 5% of her sales which means the commission she will receive is;
5% * $1525
[tex]\frac{5}{100} * 1525[/tex]
= $76.25
∴ Her total wage for the week will be;
$225 + $76.25
= $301.25
A force of 76 N is applied to an area of 490 cm2. Calculate the pressure in N/m2. Give your answer to the nearest integer.
Answer:
Given
Hope it helps
Step-by-step explanation:
Pressure is the force per unit perpendicular area over which the force is applied
p=F/A
Where f is force and a is area
So P
= F/A
= 76N / 0.049m2
= (76/0.049) Nm2
= 76000/49
= 1551.02
Or 1551 N/m2
Angle EMG is equal to 120 degrees. The measure of angle EMF is 60 degrees.
What is the measure of angle FMG?
Trapezoid EFGH is given. M is the midpoint of side GH. Points E and F are joined to M to form 3 equal triangles EHM, EMF and MFG.
Answer:
[tex]\angle FMG=60^{\circ}[/tex]
Step-by-step explanation:
Given: [tex]\angle EMG=120^{\circ}\,,\,\angle EMF=60^{\circ}[/tex]
To find: [tex]\angle FMG[/tex]
Solution:
A trapezoid is a quadrilateral in which one pair of opposite sides is parallel. A trapezoid in which opposite angles are supplementary is known as an isosceles trapezoid. In any isosceles trapezoid, two opposite sides are parallel, and the two other sides are equal to each other.
Consider the figure:
[tex]\angle FMG=\angle EMG-\angle EMF\\=120^{\circ}-60^{\circ}\\=60^{\circ}[/tex]
If f(x) = 3x + 10 and g(x) = 2x - 4, find (f-9)(x).
Answer:
work is pictured and shown
What are the solutions of x^2+6x-6=10
Answer:
x=2 and x= -8
What is the slope of the line through the points (0,0) and (2,6)
Answer:
3
Step-by-step explanation:
The slope of a line can be found by dividing the amount that the line "rises" over a certain amount of "run". In this case, the line rises 6 units while moving 2 units to the right. 6/2=3, meaning that the slope of this line is 3. Hope this helps!
Can someone answer this question please please help me I really need it if it’s correct I will mark you brainliest .
The answer is < RQO and < STV
Hope it helps
Good luck on your assignment ..
3x+4=3x+4
what is x?
All real numbers because any value of x works
f(x) = x2. What is g(x)?
f(x)
g(x)
(2.2)
15
Answer:
the answer is g (x)=2x2
Answer:g(x)= -1/2x2
Step-by-step explanation:
This is the correct answer just took the quiz
How to solve.
34x-21x=9+85
Answer:
7 3/13
Step-by-step explanation:
34x-21x= 9+85
13x=94
x= 94/13
x=7 3/13
What percent is 18 out of 60
Answer:
The percent of 18 out of 60 is 30%
Step-by-step explanation: If you multiply 18/60 x 100% the answer will equal to 30%.
Hope this helps :)
Point s is not on line k. How many different planes contain both point s and line k?
[tex]the \: answer \: is \: one \\ explanation \\ there \: is \: only \: one \: such \: plane \: which \: \\ will \: have \: these \: two \: points. \: these \\ two \: points \: will \: satisfy \: only \: one \: pl - \\ ane \: equation \: because \: they \: doesnot \\ lie \: in \: a \: single \: line. \\ hope \: it \: helps[/tex]
Answer:
c
Step-by-step explanation:
one
Quinn tried to evaluate an expression step by step. which step did she do wrong there is a selection for not mistake
Answer:
Quinn did not make a mistake. This is because everything she did is correct and also if we calculate the expression without doing anything she did, we see that she has the right answer.
Answer:
she didn't make any mistake
Step-by-step explanation:
She has expressed it correctly and if we calculate, the multiplication is also correct
Please help!
Find the product AB, if possible. Explain if it's not possible.
Answer: c
Step-by-step explanation:
When multiplying matrices, multiply ACROSS with the left matrix and DOWN with the right matrix.
[tex]\text{Example}:\left[\begin{array}{cc}a&b\\c&d\end{array}\right] \times \left[\begin{array}{c}x\\y\end{array}\right] =\left[\begin{array}{c}ax+by\\cx+dy\\\end{array}\right][/tex]
[tex]\left[\begin{array}{cc}5&2\\3&-1\end{array}\right] \times \left[\begin{array}{c}2\\3\end{array}\right] =\left[\begin{array}{c}5(2)+2(3)\\3(2)-1(3)\\\end{array}\right] = \left[\begin{array}{c}16\\3\end{array}\right][/tex]
what is the linear function ?
Answer:
f(x)= 5x+2
Step-by-step explanation:
Slope is 5, y intercept is (0,2)
In the triangle below x=? Round to the nearest tenth.
Answer:
Third angle = 70 degrees
tan (70) = 10 / x
x = 10 / tan (70)
x = 10 / 2.7475
x = 3.6396724295
x = 3.6 cm (rounded)
Step-by-step explanation:
i really hate maths at the moment
Answer:
80 kg
Step-by-step explanation:
[tex]x \times (1+10/100)=88[/tex]
[tex]1.1x=88[/tex]
[tex]x=88/1.1[/tex]
[tex]x=80[/tex]
The graph of function f(x) =3x-6 is shown below.
What is the zero of the function?
A) 3
B) 2
C) -2
D) -6
Answer:
B) 2
Step-by-step explanation:
f(x) = 3x - 6
0 = 3x - 6
3x = 6
x = 2
i think of a number, multiply it by itself and then add 6 to the result
Answer:
x²+6
Step-by-step explanation:
Let the number be x
⇒ Multiplying it by itself makes x × x = x²
⇒ Adding 6 makes it x²+6
Answer:
[tex] {x}^{2} + 6[/tex]
Step-by-step explanation:
thinked number = x
multiply by itself = x *x
[tex]x \times x \\ = {x}^{2} [/tex]
add 6 =+6
[tex] {x}^{2} + 6[/tex]
hope this helps
brainliest appreciated
good luck! have a nice day!
If F(x)=3x^2-2 find (-3) x f (x)
Answer:
-9x²+6
Step-by-step explanation:
f(x)=3x^2-2
g(x)=(-3) x f (x)
g(x)= -3*3x²-3*(-2)= -9x²+6g(x)= -9x²+6Round to the nearest hundredth : 8.113
plz help :)
Answer:
[tex]8.11[/tex]
Step-by-step explanation:
Rounded to nearest hundredth.
After Round to the nearest hundredth value of number is,
⇒ 8.11
We have to given that;
A number is,
⇒ 8.113
And, We an Round to the nearest hundredth.
Since, Rounding numbers refers to changing a number's digits such that it approximates a value.
Here, In number 8.113,
Digit in thousandth place is 3 which is less thn 5.
Hence, After Round to the nearest hundredth value of number is,
⇒ 8.11
Learn more about the rounding number visit:
brainly.com/question/27207159
#SPJ6
In a village the number of houses and the number of flats are in the ration9:5 the number of flats and the number pf bungalows are in the ratio 10:3 there are 30 bungalows in the village. How many houses are there in the village?
Answer: 180 houses
Step-by-step explanation:
From the question, we are informed that in a village the number of houses and the number of flats are in the ratio 9:5 while the number of flats and the number of bungalows are in the ratio 10:3 and that there are 30 bungalows in the village.
Since the ratio of the number of flats and the number of bungalows are in the ratio 10:3 and there are 30 bungalows in the village, the number of flats will be:
= 10/3 × 30
= 10 × 10
= 100 flats
Since we are told that the ratio of the number of houses to the number of flats are in the ratio 9:5 and we've gotten the number of flats as 100, then the number of houses will be:
= 9/5 × 100
= 9 × 20
= 180 houses
For f(x) = 2x + 1 and g(x) = x^2- 7, find (f - g)(x). ?
Answer:
(f-g)(x)=-x^(2)+2x+8
the solutions are:
x=4 or x=-2
Step-by-step explanation:
(f-g)(x)=2x+1-(x^(2)-7)
(f-g)(x)=-x^(2)+2x+1+7
(f-g)(x)=-x^(2)+2x+8
does this help or should I solve for the zeros/solutions of this quadratic equation?
then:
-x^(2)+2x+8=0
-(x^(2)-2x-8)=0
x^(2)-2x-8=0
(x-4)(x+2)=0
x=4 or x=-2
Answer:
The required answer is: -x^2+2x+8
Step-by-step explanation:
We have been given the two function:
f(x)=2x+1
And g(x)=x^2-7
We have to find (f-g)(x):
(f-g)(x)=f(x)-g(x)
(2x+1)-(x^2-7)
2x+1-x^2+7
-x^2+2x+8
Hence, the required answer is: -x^2+2x+8
5
.
John, Peter and Mary shared a sum of
money in the ratio 2:4:9. John and Peter
together received $360. How much money
in all was shared?
(A) $480
(B) $540
(C) $600
(D) $900
Answer:
D
Step-by-step explanation:
Here, we want to know the total amount of money shared
Total ratio is 2 + 4 + 9 = 15
Now, John and Peter with ratios 2 and 4 equals $360
If we combine their ratios, what we have would be
6:9
Let the amount shared be x
Now, mathematically
6/15 * x = 360
6x = 15 * 360
x = (15 * 360)/6
x = $900
Having some trouble with this equation can someone help?
Answer:
A
Step-by-step explanation:
Given
a = [tex]\frac{b+c}{d}[/tex] ( multiply both sides by d to clear the fraction )
ad = b + c ( subtract b from both sides )
ad - b = c → A
a carpenter can make 30 chairs, 25 tables and 15 beds in a month. what proportion of the carpenter's output is bed.
Answer:
3/14
Step-by-step explanation:
Express the beds as a fraction of the total output.
Beds = 15
Total output = 30 + 25 + 15 = 70
Proportion that is beds = 15/70
15/70 = 3/14
Find all the real zeros
f(x)=-2x^2-6x-1
Answer:
Step-by-step explanation:
real zeros -----> where f(x) = 0
[tex]-2x^{2} - 6x - 1 = 0\\[/tex] * (-1)
[tex]2x^{2} + 6x + 1 = 0\\[/tex]
Δ = [tex]6^{2} - 4 * 2 * 1[/tex] = 36 - 8 = 28
vΔ = 2[tex]\sqrt{7}[/tex]
x' = [tex]\frac{-6 + 2\sqrt{7} }{2 * 2} = \frac{-6 +2\sqrt{7} }4}[/tex]
x'' = [tex]\frac{-6 - 2\sqrt{7} }{2 * 2} = \frac{-6 -2\sqrt{7} }4}[/tex]
someone figure this one out
Answer:
c
Step-by-step explanation:
We see that for x≤2 y = x + 2 so the answer is C.
PLEASE HELP ILL MARK YOU BRAINLIEST
Part A: Create a fourth-degree polynomial with three terms in standard form. How do you know it is in standard form?
Part B: Explain the closure property as it relates to addition of polynomials. Give an example.
Answer:
Part A: x⁴ + x³ + x²
Part B: (4·x + 2) + (-5·x + 6) = -x + 8
Step-by-step explanation:
Part A:
We note that standard form means that the terms of the polynomial are arranged in order starting from the the largest exponential of the polynomial to the smallest exponent
Therefore, we have
x⁴ + x³ + x² is a fourth-degree polynomial with three terms in standard form
It is known that the above polynomial is in standard form based on its ordered arrangement from the largest exponential to the smallest exponential
Part B:
Polynomial are closed under addition, that is when two polynomials are added only the coefficients change as the exponents and variables remain unchanged as follows;
(4·x + 2) + (-5·x + 6)
= 4·x + 2 - 5·x + 6
= 4·x - 5·x + 2 + 6
= -x + 8 which is a polynomial with the same variable and exponent.