1) Juan purchased 3.4 pounds of nails at a cost of $4.50 per pound. What
was the cost of the nails? *
Answer:
the answer is 15.3. hope this helps:)
Step-by-step explanation:
Select the correct answer.
Pat and Quentin collect trading cards. They each began the year with cards already in their collection and buy more cards every month.
The number of cards in Pat’s collection, x months after the start of the year, is modeled by function p:
p(x) = 34 + 16x.
The number of cards in Quentin’s collection, x months after the start of the year, is modeled by function q:
q(x) = 28 + 12x.
Which function correctly represents how many more cards Pat has in her collection than Quentin has in his collection, x months after the start of the year?
A.
(p − q)(x) = 62 + 4x
B.
(p − q)(x) = 6 + 4x
C.
(p − q)(x) = 6 + 28x
D.
(p − q)(x) = 62 + 28x
The expression that represents how many more cards Pat has in her collection than Quentin has in his collection is B. (p − q)(x) = 6 + 4x
What is a expression?An expression simply refers to the mathematical statements which have at least two terms which are related by an operator and contain either numbers, variables, or both.
Pat's collection is represented as p(x) = 34 + 16x.
Quentin's collection is represented as q(x) = 28 + 12x.
The difference will now be:
= 34 + 16x - (28 + 12x)
= 34 + 16x - 28 - 12x
= 6 + 4x
Therefore, the correct option is B.
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A data set is made up of these values.
3, 3, 4, 5, 6, 7, 10
Find the interquartile range.
A. 3 - 3 = 0
B. 10 - 7 = 3
C. 7 - 3 = 4
D. 10 - 3 = 7
Answer:
C. 7 - 3 = 4
Step-by-step explanation:
Given
[tex]Dataset: 3, 3, 4, 5, 6, 7, 10[/tex]
Required
The IQR
The IQR is calculated using:
[tex]IQR = Q_3 - Q_1[/tex]
Where:
[tex]Q_3 \to[/tex] Median of the upper [tex]half[/tex]
[tex]Q_1 \to[/tex] Median of the lower [tex]half[/tex]
The dataset has 7 values, so the median is: (7 + 1)/2 =8/2 = 4th position.
Split to two, we have:
[tex]Lower \to 3, 3, 4[/tex]
[tex]Median \to 5[/tex]
[tex]Upper \to 6, 7, 10[/tex]
The lower half has 3 data; So, the median is the 2nd position.
Hence:
[tex]Q_1 = 3[/tex]
The upper half has 3 data; So, the median is the 2nd position.
Hence:
[tex]Q_3 = 7[/tex]
So, the IQR is:
[tex]IQR = Q_3 - Q_1[/tex]
[tex]IQR = 7 - 3[/tex]
[tex]IQR = 4[/tex]
Find the 30th term of the following sequence. 1, 7, 13, 19, ...
Answer:
175
Step-by-step explanation:
a30 = a1 + f × (n-1)
f= difference between numbers
For a sample of 9 automobiles, the mileage (in 1000s of miles) at which the original front brake pads were worn to 9% of their original thickness was measured, as was the mileage at which the original rear brake pads were worn to 9% of their original thickness. The results were as follows: Car Rear Front 1 40.6 32.5 2 35.4 27.1 3 46.6 35.6 4 47.3 35.6 5 38.7 30.3 6 51.2 41.1 7 50.6 40.7 8 45.9 34.3 9 47.2 36.5 Send data to Excel Part: 0 / 20 of 2 Parts Complete Part 1 of 2 (a) Construct a 99.5% confidence interval for the difference in mean lifetime between the front and rear brake pads. Let d represent the mileage of the rear pads minus the mileage of the front ones. Use tables to find the critical value and round the answers to at least two decimal places. A 99.5% confident that the mean difference in lifetime between front and rear brake pads is
Answer:
CI =[- 4.588; 15.4]
Since the calculated value of t= 4.244 falls in the critical region so we reject H0 and conclude that we are not confident that the mean difference in lifetime between front and rear brake pads is 99.5%
Step-by-step explanation:
The given data is
Car Rear Front d= rear- front
1 40.6 32.5 8.1
2 35.4 27.1 8.3
3 46.6 35.6 11
4 47.3 35.6 11.7
5 38.7 30.3 8.4
6 51.2 41.1 10.1
7 50.6 40.7 9.9
8 45.9 34.3 11.6
9 47.2 36.5 10.7
∑ = 89.8
Let the hypotheses be
H0: ud= 0 against the claim Ha: ud ≠0
The degrees of freedom = n-1= 9-1= 8
The significance level is 0.05
The test statistic is
t= d`/sd/√n
The critical region is ║t║≤ t (0.025,8) = ±2.306
Sd= 7.05434553
d`=∑d/n= 89.8/9= 9.978
Therefore
t= d`/ sd/√n
t= 9.978/ 7.054/√9
t= 4.244
1) Since the calculated value of t= 4.244 falls in the critical region so we reject H0 and conclude that we are not confident that the mean difference in lifetime between front and rear brake pads is 99.5%
2) the confidence interval for the difference of two samples can be calculated by
d ` ± td sd/√n
9.978 ±2.306* 7.054/√9
- 4.588; 15.4
THIS IS URGENT! I NEED THE ANSWER ASAP!! I don’t really understand how to do this. I need the answer but I’d like a detailed explanation as well! Thank you!
Question:
A map is drawn using the scale 2cm : 100 mi. On the map town B is 3.5 cm from town a, and town see is 2 cm past town B. How many miles apart are Town A and Town C?
Answer choices:
275 Miles
200 Miles
1,100 Miles
550 Miles
Thank you!
Step-by-step explanation:
yeah its A. because i aakes my math teacher.
PLS HELP WILL GIFT 50+ POINTS TO THE FIRST PERSON WHO WILL ANSER ANSER AND EXPLAIN THROUGHLY PLZ HELP!!!
Answer: it is invalid
Step-by-step explanation: it is invalid because the data table has 30 out of 100 people stating that they prefer to view movies in theater. This does not have the same ratio as 300 out of 400, and would only work had he said 300 out of 1000. Thus, he is incorrect in his inference.
A teacher has 50 tests to grade. She can grade 4 tests in 6
minutes. How long will it take her to grade all of the tests?
(A) 12.5 minutes
(B) 24 minutes
(C) 75 minutes
(D) 300 minutes
Answer:
c: 75 minutes
Step-by-step explanation:
50/4 = 12.5
6 x 12.5 = 75
Two fair dice are rolled. Determine the following probability
P(one number is a multiple of 3 and the other is a multiple of 5)
The probability that one number is a multiple of 3 and the other is a multiple of 5 is
A custodian plans to repaint some classroom bookcases. She has 5 1/4 gallons of paint. All of the bookcases are the same size and each requires 3/4 gallons of paint. How many bookcases will the custodian be able to repaint with that amount of paint?
Answer:
7 bookcases
Step-by-step explanation:
Find how many bookcases the custodian can repaint by dividing 5.25 by 0.75:
5.25/0.75
= 7
So, the custodian will be able to repaint 7 bookcases
what percent of the population has an IQ score between 115 and 130?
Answer:
68% of the individuals in the population have an IQ between 85 and 115. 95% of the population has IQ scores between 70 and 130. 99.7% of the population has IQ scores between 55 and 145.
Step-by-step explanation:
Write and solve using a proportion to find the missing length
Answer:
n = 2.6
Step-by-step explanation:
6.5 : 5
n : 2
6.5/5 = 1.3
2 x 1.3 = 2.6
n = 2.6
i hope this helps
5/6 x=12 what is x??????????
Answer:
=72/5
Step-by-step explanation:
Combine multiplied terms into a single fraction
Multiply all terms by the same value to eliminate fraction denominators
Cancel multiplied terms that are in the denominator
a point
Find the equation of a line when given the slope and a point on the line.
Question:
What is the equation of the line that has a slope of -7 and passes through the point (4,8)?
A
+ 7y = 60
B
7x + y = 36
С
2 - 7y = -52
D
72- y = 20
Answer:
7x + y =36
Step-by-step explanation:
( y- y1) = m(x - x1)
y - 8 = -7( x - 4)
y- 8 =-7x +28
y = -7x +36
7x + y =36
Write sin 53° in terms of cosine.
Answer:
cos(37°)
Step-by-step explanation:
sin(53°) = cos(90° - 53°)
sin(53°) = cos(37°)
ANSWER ASAP DONT SEND A FILE WHATS THE TRANSFORMATION??
Answer:
2nd one.
Step-by-step explanation:
A triangle has height 4ft and an area 64ft square What is the length of its base?
Answer:the answer is 60
Step-by-step explanation:
The question is “what is the length” so what I think we are supposed to do is to add since the height is 4 and the area is 64 so the length has to be 6
Hope I helped
PLZ ANSWER AND SHOW WORK TY :D
Answer:
[tex]-\frac{\sqrt{21}}{2}[/tex]
Step-by-step explanation:
ASTC (I use a sentence to memorize: All Students Take Calculus):
Q1 - All functions are positive
Q2 - Sine is positive (Cosecant is positive as well) (all others negative)
Q3 - Tangent is positive (Cotangent is positive as well) (all others negative)
Q4 - Cosine is positive (Secant is positive as well) (all others negative)
Applying ASTC:
Secant is negative, so it can't be in quadrant 1, and quadrant 4.
Quadrant 2 - Sine and Quadrant 3 - Tangent are left.
Cosecant is positive so it can't be in quadrant 3.
Therefore, angle x is in Quadrant 2 or QII
Secant is hypotenuse / adjacent
5 = hypotenuse (hypotenuse is never a negative number)
-2 = adjacent
use pythagorean theorem to solve for opposite (bc tan = opp / adj)
[tex](-2)^2+o^2=5^2;4+o^2=25;o^2=21;o=\sqrt{21}[/tex]
tanx = [tex]\frac{\sqrt{21}}{-2}=-\frac{\sqrt{21}}{2}[/tex]
What is the probability that a randomly chosen student is a boy that prefers comedy movies?
I NEED HELPPO ASAP
Answer:
12/35
Step-by-step explanation:
i don’t know the decimal but you can figure that out quickly
Lola had $235.00 in her savings account. Three months later, Lola had
$136.30 in her account. What was the percent decrease of Lola's savings
account?
Answer: decreased by 42%
Step-by-step explanation:
Do you guys know this?
Answer:
yeah it's B
hope this helps
have a good day :)
Step-by-step explanation:
Answer:
answer is d
Step-by-step explanation:
4+3=7
2i+I=3i
NEED HELP FAST PLS CLICK TO SEE
Select the correct answer. The function g(x) = x2 is transformed to obtain function h: h(x) = g(x) + 1. Which statement describes how the graph of h is different from the graph of g? A. The graph of h is the graph of g horizontally shifted left 1 unit. B. The graph of h is the graph of g vertically shifted down 1 unit. C. The graph of h is the graph of g vertically shifted up 1 unit. D. The graph of h is the graph of g horizontally shifted right 1 unit.
Answer:
your answer should be, B
Gretchen measured the length of her toaster, to the nearest half inch to be 9 inches. Steve measured the toaster to the nearest quarter inch and found it measured 9 1/4 inches. Who used a more precise measurement?
39kg 756g + 52kg 670g
Answer:
1517g or 1.517kg
Step-by-step explanation:
A group of 8 students was asked, "How many hours did you watch television last week?" Here are their responses:
4, 7, 9, 16, 20, 19, 5, 14
Find the median and mean number of hours for these students.
If necessary, round your answers to the nearest tenth.
Median:
Х
5
?
hours
Mean: hours
Answer:
Median= 14
Mean= 90
Step-by-step explanation:
Median:
Put the numbers in order,
4, 7, 9, 14, 16, 19, 20 Then after that you find the number exactly in the middle. That number ends up to be 14.
Mean:
Add up all of the numbers and then round it to the nearest tenth: 90
Median= 14
Mean= 90
I don’t know what I’m doing
Answer:
lol
Step-by-step explanation:
5. Given: SR and ST are straight lines.
SX = SY
XR =YT
Prove: RSY = TSX
:) help me
Answer:
. Bisector cut a segment into 2 ≅ parts. 3. Intersect lines form vertical ∠ ... Prove: EC ≅ FB ... Prove: AD ≅ CB ... or SR ≅ ST Side ... SX + XR ≅ SY + YT.
Step-by-step explanation:
In the given triangles, as per given conditions ΔRSY≅ Δ TSX by SAS (Side Angle Side) theorem.
What is triangle?" Triangle is defined as the two dimensional geometrical shape with three vertices , three sides, and three angles enclosed in it."
Theorem used
SAS theorem ( Side angle side)
In given triangles, corresponding sides and included angle of one triangle is equals to corresponding sides and included angle of another triangle , then triangles are said to be congruent.
According to the question,
Given,
In a triangles,
SX ≅ SY ______ [tex]( 1)[/tex]
XR ≅ YT ______[tex]( 2 )[/tex]
Add [tex](1)[/tex] and [tex](2)[/tex] we get,
SX + XR ≅ SY + YT
⇒SR ≅ ST ____[tex](3)[/tex]
In triangle ΔRSY and ΔTSX,
SY ≅ SX ( given)
∠RSY ≅∠TSX ( Common angle)
SR ≅ ST (from [tex](3)[/tex] )
By SAS theorem (side angle side theorem ) stated above we get,
ΔRSY≅ Δ TSX
Hence, ΔRSY≅ Δ TSX by SAS theorem as per the given condition of a triangle.
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What is the value of x?
Answer:
98 degrees
Step-by-step explanation:
first find angle G
53 + 45 + G = 180
subtract 45 and 53 from both sides
G = 82
angle g is supplementary (add up to 180) to x
x +82 = 180
subtract 82 from both sides
x = 98
Answer:
x = 98°
Step-by-step explanation:
There are 180° in a triangle, and 180° on a line.
180° - 53° - 45° = 82°
180° - 82° = 98°
Some values of the linear function f are given in the table shown. What is the value of f(100)?
Answer:
f(100) = 160.
Step-by-step explanation:
Linear function:
The equation of a linear function has the following format:
[tex]y = mx + b[/tex]
In which m is the slope(how much f(x) changes when x changes by 1) and b is the y-intercept(value of f(x) when x = 0).
Finding the slope:
Suppose we have two points. The slope is the change in the output divided by the change in the input.
In this question, we have points (45,50) and (60,80).
Change in the output: 80 - 50 = 30
Change in the slope: 60 - 45 = 15
Slope: 30/15 = 2
So
[tex]y = 2x + b[/tex]
Point (45,50)
This means that when [tex]x = 45, y = 50[/tex]. We use this to find the value of b.
[tex]y = 2x + b[/tex]
[tex]50 = 2(45) + b[/tex]
[tex]b = -40[/tex]
So
[tex]y = 2x - 40[/tex]
With y = f(x)
What is the value of f(100)?
This is y when x = 100. So
[tex]f(100) = 2(100) - 40 = 200 - 40 = 160[/tex]
f(100) = 160.