Answer:
The dimensions of the iphone are 2 inches by 7 inches.
Step-by-step explanation:
Given that,
The dimensions of an iPhone are x – 2 and x + 3.
The area of an iphone is 14 sq inches
We need to find the dimensions of the iPhone. It is in the shape of a rectangle. Its area is given by :
[tex]A=l\times b\\\\(x-2)(x+3)=14\\\\x^2-2x+3x-6=14\\\\x^2+x-6-14=0\\\\x^2+x-20=0\\\\x^2+5x-4x-20=0\\\\x(x+5)-4(x+5)=0\\\\(x-4)(x+5)=0\\\\x=4\ and\ x=-5[/tex]
Neglecting negative value
First dimension = (x-2) = (4-2) = 2 inches
Other dimension = (x+3) = (4+3) = 7 inches
Hence, the dimensions of the iphone are 2 inches by 7 inches.
add 2 please add
[tex]2 \frac{3}{4} + 5 \frac{4}{5} = [/tex]
Answer:
Step-by-step explanation:
19/4 + 29/5
2.75 + 5.8
= 8.55
Which one is correct?
In ΔSTU, the measure of ∠U=90°, UT = 80, SU = 39, and TS = 89. What ratio represents the tangent of ∠S?
Answer:
[tex]\frac{80}{39}[/tex]
Step-by-step explanation:
SOHCAHTOA
O =Opposite
A = Adjacent
H = Hpotenuse
If we draw it out we can see that the opposite side is the UT and adjacent side is SU for ∠S.
When an angle is asked for like here is S so the opposite side of the angle is the opposite side. and the angle close to it is the adjacent. The biggest side is the hypotenuse.
PLEASE HELP ME!!!!!!!!!ASAP!!!!!
Write down three integers, all less than 25, whose range is 8 and mean is 11.
Answer:
11,15,7
Step-by-step explanation:
11+15+7=33 33/3=11 the mean
then 15-7=8 the range
if y varies inversely as x and y=3 when x=14, find x when y=6
Find the coefficient of the x^3 in the expansion of (2x-9)^5
Use the binomial theorem:
[tex]\displaystyle (2x-9)^5 = \sum_{k=0}^5 \binom5k (2x)^{5-k}(-9)^k = \sum_{k=0}^5 \frac{5!}{k!(5-k)!} 2^5 \left(-\frac92\right)^k x^{5-k}[/tex]
The x ³ terms occurs for 5 - k = 3, or k = 2, and its coefficient would be
[tex]\dfrac{5!}{2!(5-2)!} 2^5 \left(-\dfrac92\right)^2 = \boxed{6480}[/tex]
An elephant can travel 30 km in 2 hours. How fast is the elephant moving?
Find the area of this trapezoid:
Answer:
Pls add the image
Step-by-step explanation:
If l || m, determine what type of angles they are and find the value of x.
8
Determine the area
of the shaded
region.
2 ft
7.6.4
Answer:
3.44 ft ^2
Step-by-step explanation:
the box area is 4x4 =16
the circle is 4π = 12.57
16-12.57 = 3.46 this is rounded so 3.44 would work too
Access the hourly wage data on the below Excel Data File (Hourly Wage). An economist wants to test if the average hourly wage is less than $29.
Hourly EDUC EXPER AGE Gender
Wage
37.85 11 2 40 1
21.72 4 1 39 0
34.34 4 2 38 0
21.26 5 9 53 1
24.65 6 15 59 1
25.65 6 12 36 1
25.45 9 5 45 0
20.39 4 12 37 0
29.13 5 14 37 1
27.33 11 3 43 1
28.02 8 5 32 0
20.39 9 18 40 1
24.18 7 1 49 1
17.29 4 10 43 0
15.61 1 9 31 0
35.07 9 22 45 0
40.33 11 3 31 1
20.39 4 14 55 0
16.61 6 5 30 1
16.33 9 3 28 0
23.15 6 15 60 1
20.39 4 13 32 0
24.88 4 9 58 1
23.88 5 4 28 0
37.65 6 5 40 1
15.45 6 2 37 0
26.35 4 18 52 1
19.15 6 4 44 0
16.61 6 4 57 0
18.39 9 3 30 1
25.45 5 8 43 0
28.02 7 6 31 1
23.44 4 3 33 0
17.66 6 23 51 1
26.33 4 15 37 0
34.34 4 9 45 0
35.45 6 3 55 0
37.43 5 14 57 0
35.89 9 16 36 1
20.39 4 20 60 1
31.81 4 5 35 0
35.45 9 10 34 0
37.66 5 4 28 1
23.87 6 1 25 0
36.35 7 10 43 1
25.45 9 2 42 1
23.67 4 17 47 0
26.02 11 2 46 1
23.15 4 15 52 0
24.18 8 11 64 0
a) Choose the null and the alternative hypotheses for the test.
A. H0:μ≥29;HA:μ<29
B. H0:μ=29;HA:μ≠29
C. H0:μ≤29;HA:μ>29
b) Use the Excel function Z. TEST to calculate the p-value. Assume that the population standard deviation is $6.
c) At α = 0.01 what is the conclusion?
A. Do not reject H0; the hourly wage is not less than $29.
B. Do not reject H0; the hourly wage is less than $29.
C. Reject H0; the hourly wage is not less than $29.
D. Reject H0; the hourly wage is less than $29.
Answer:
A. H0:μ≥29;HA:μ<29
Pvalue < 0.01
D. Reject H0; the hourly wage is less than $29
Step-by-step explanation:
The null hypothesis will negate the claim which will be the hypothesis to be tested. Therefore, since the claim is to test if hourly wage is less Than 29 ; then the null will be that hourly wage is equal to or greater than 29
H0:μ≥29;HA:μ<29
The Pvalue measure the probability that the extremity of our finding against a certain α level. The Pvalue obtained using the Excel function should be 0.00058
When Pvalue is < α ; We reject the null hypothesis
Hence, Reject H0; the hourly wage is less than $29 and conclude that hourly wage is less Than $29
Pls help
If a varies jointly as b and c, find a when b = 4 and c = -3.
a = -96 when b = 3 and c = -8
a=
Answer:
a=4bc
a=4(4)(-3)=-48
a= - 48 when b equals to 3 is equals to - 8
The required answer by direct variation a is equal to 96. In other words, when b = 4 and c = -3, the value of a is 96.
When a variable varies jointly as two other variables, it means that the relationship between the variables can be expressed using direct variation. In this case, we have that "a varies jointly as b and c."
To find the value of a when b = 4 and c = -3, we can set up the proportion based on the direct variation relationship:
a/bc = k
where k is the constant of variation.
Substituting the given values:
a/(4)(-3) = k
Simplifying, we have:
a/-12 = k
Now, we can find the value of a when b = 4 and c = -3 by substituting these values into the equation and solving for a:
a/(-12) = k
a/(-12) = -96/-12 (since k = -96 when b = 3 and c = -8)
a = 96
Therefore, the required answer by direct variation a is equal to 96. In other words, when b = 4 and c = -3, the value of a is 96.
Learn more about direct variation here:
https://brainly.com/question/29150507
#SPJ2
brainiest exchange give me and I will give you 2+2
Answer:
4
Step-by-step explanation:
and sure
Answer:
4
Step-by-step explanation:
plssssss helppp last diagnostic
Answer:
9/20 square miles
Step-by-step explanation:
9/10× 1/2= 9/20 square miles
At 3:30 p.m., you have 15 megabytes of a movie. At 3:45 p.m., you have 75 megabytes. What is the download rate in megabytes per minute?
please help me I've been asking for this question for a while and I keep getting those spam messages please help me 15pts
How would you go about finding the confidence interval of say 90% or 95% for any given distribution scenario?
Answer:
You'd want to divide.
Step-by-step explanation:
Let's say you got a 9/10 on a test.
You'd do 9 divided by 100 and multiply it by 10 to get 90%
That is how you solve a percentage problem
FORMAT IN LESS DETAILED EXPLANATION:
9/100x10=90%
Nine divided by one-hundred times ten equals ninety percent
the ratio of the corresponding sides of two similar triangles is 2:5 the sides of the smaller triangle is 6mm 8mm and 12mm what is the perimeter of the larger triangle?
Answer:
65
Step-by-step explanation:
using the ratio we can find the side lengths of the other triangle.
since it is 2:5
6:x=2:5
so x = 15(first side)
8:x=2:5
so x = 20(second side)
12:x=2:5
x=30(third side)
so then we add them up
15+20+30
65
hope this was helpful
A bag of 33 tulip bulbs contains 11 red tulips, 12 yellow tulips, and 10 purple tulips. Suppose two tulip bulbs are randomly selected without replacement from the bag. What is the probability that two randomly selected tulip bulbs are both red
Solve for the letter t
What is the mode of this
data?
5, 3, 3, 6, 7, 9, 10
uh help
Answer:
3
Step-by-step explanation:
3 appears the most (twice)
The rest of the numbers only appear once
A and B are similar solid cylinders base area of A : base area of B = 9 : 25
complete these ratios
curved surface area of A : curved surface area of B : = ? : ?
height of A : height of B = ? : ?
Answer:
Two figures are similar if the figures have the same shape but different sizes.
Then if we have two figures X and X'
Such that one dimension of X is D, the correspondent dimension on X' will be:
D' = k*D
Such that k is the scale factor that relates the figures.
1:k
Because all the dimensions will be rescaled by the same scale factor k, we can conclude that any surface on X will be related to the same surface in X' by:
S' = k^2*S
then the ratio of the surfaces is:
1:k^2
While the relation between the volumes will be:
V' = k^3*V
Here the ratio is:
1:k^3
Ok, in this case we have two cylinders
We know that the ratio between the base area ( a surface) is:
9:25
a) We want to find the ratio: curved surface area of A : curved surface area of B
Because again we have a surface area, the ratio should be exactly the same as before, 9:25
b) height of A : height of B
In this case, we have a single dimension.
Because in the rescaling of a surface we need to use k^2, then we can conclude that the ratios:
9:25
is related to k^2
Then the ratio, in this case, is given by applying the square root to both sides of the previous ratio, so we get:
√9:√25
3:5
This is the ratio of the heights.
Also from this we could get the value of k, that is the right value when we leave the left value equal to 1, we can get that if we divide both sides by 3.
(3/3):(5/3)
1:(5/3)
Then:
k = 5/3
write an expression that represents the quotient of a number and 3 multiplied by 4
Answer:
N (3×4) or (N×3) 4
Step-by-step explanation:
Please helppp!!!
what is the perimeter of the triangle?
what is the area or the triangle?
Answer:
The perimeter is 27 km
The area is 21 km^2
Step-by-step explanation:
The perimeter of a triangle will just be all of the sides added up.
12 + 9 + 6 = 27 km
The area of a triangle is:
A = 1/2 * base * height
The base is 6 km, and the height is 7 km. Substituting the values in and solving, we get:
A = 1/2 * 6 * 7
A = 3 * 7
A = 21 km^2
Historically, about 53% of the population of a certain country believed that the planet's temperature was rising ("global warming"). A March 2010 poll wanted to determine whether this proportion had changed. The poll interviewed adults in the population, and said they believed that global warming was real. (Assume these adults represented a simple random sample.)
Required:
a. What percentage in the sample believed global warming was real in 2010?
b. Is this more or less than the historical 57%?
Answer:
(a) The proportion is 61.23%
(b) It is more than the historical 57%
Step-by-step explanation:
This question has missing details, and they are:
[tex]n = 926[/tex] ---- The Sample Adults
[tex]x = 567[/tex] -- Those that believe global warming was real
Solving (a): The proportion of those that believe.
This is calculated as:
[tex]p = \frac{x}{n}[/tex]
Substitute values for x and n
[tex]p = \frac{567}{926}[/tex]
[tex]p = 0.6123[/tex]
Express as percentage
[tex]p = 0.6123 * 100\%[/tex]
[tex]p = 61.23\%[/tex]
Solving (b) More or less than 57%
By comparison:
[tex]61.2\% > 57\%[/tex]
Hence, it is more than the historical 57%
A pair of weak earthquakes is modeled by a system of inequalities. One earthquake occurred roughly 20 km east and 14 km north of the center of Columbia, NC. The quake could be felt from 25 km away. A couple days later, another earthquake occurred 8 km west and 3 km north of the center of Columbia and could be felt from 14 km away. If Columbia is located at (0, 0) on a coordinate grid, the system of inequalities represents this scenario.
StartLayout Enlarged left-brace first row (x minus 20) squared + (y minus 14) squared less-than-or-equal-to 625 second row (x + 8) squared + (y minus 3) squared less-than-or-equal-to 196 EndLayout
Which location relative to Columbia felt both earthquakes?
4 km west and 12 km south
6 km west and 4 km north
2 km east and 10 km north
6 km east and 8 km north
Answer:
2 km east and 10 km north
Step-by-step explanation:
I did the activity and got the right answer.
By evaluating the inequalities, we will see that the correct option is: 2 km east and 10 km north
Which location will feel both earthquakes?
Here we have the inequalities:
(x - 20)^2 + (y - 14)^2 ≤ 625
(x + 8)^2 + (y - 3)^2 ≤ 196
Where, x is the distance due east, and y is the distance due north.
So we just need to find which of the given options makes both inequalities true, for example, for the first one we have:
x = -4
y = -12
Replacing that on the first inequality we get:
(-4 - 20)^2 + (-12 - 14)^2 ≤ 625
1,252 ≤ 625
This is false, so this option is not correct.
Now we just need to check the other options. Particularly for the third we have:
x = 2
y = 10
Replacing that in both inequalities we get:
(2 - 20)^2 + (10 - 14)^2 ≤ 625
340 ≤ 625 (true).
(2 + 8)^2 + (10 - 3)^2 ≤ 196
149 ≤ 196 (true)
So at 2km east and 10km north of Columbia, the two earthquakes can be felt.
If you want to learn more about inequalities, you can read:
https://brainly.com/question/18881247
5(2 + 2m). Simplify the expression
Answer:
10m+10
Step-by-step explanation:
5x2=10
5x2m=10m
10m+10
Ann races her bicycle for 58m. A wheel of her bicycle turns 29 times as the bicycle travels the distance. What is the diameter of the wheel
Answer:
0.637 m or 63.7 cm
Step-by-step explanation:
Formula
d = n * pi di
Givens
di = diameter and is unknown
n = 29 times
d = 58 meters
Solution
58 = 29 * 3.14 * di
2 = 3.14 * di
2/3.14 = di
d = 0.637 meters
or
d = 63.7 cm
Find the point on a circle that has a radius of 8 with an angle of rotation of 130 degrees centered at (-3,5)?
please help (no links) or i will report you i just need answers
Answer:
15.) 104 ... I hope angles are not drawn to scale
16.) 144
17.) 37
Step-by-step explanation:
15.)
3x + 10 = 4x -12
22 = x
so 3x +10 = 76
180 - 76 = t = 104
16.)
2(21) + 36 + 90 + bcd + a = 360
a = 90 - 21 = 69
360 - (2(21) + 36 + 90 + 69) = bcd
bcd = 360 - 237 = 123
angle acd = 21 + bcd = 21 + 123 = 144
17.)
(5x - 7) + 90 + (3x + 1) = 180
8x -6 = 90
8x = 96
x = 12
so 5x - 7 = 53
90 - 53 = angle lmn = 37
Explain what the vertical line test is and how it is used.
What is the range of the given function?
{(–2, 0), (–4, –3), (2, –9), (0, 5), (–5, 7)}
{x | x = –5, –4, –2, 0, 2}
{y | y = –9, –3, 0, 5, 7}
{x | x = –9, –5, –4, –3, –2, 0, 2, 5, 7}
{y | y = –9, –5, –4, –3, –2, 0, 2, 5, 7}
✧ [tex] \underline{ \underline{ \pink{\large{ \tt{E \: X \: P \: L\: A \: N \: A \: T \: I \: O \: N}}}}}: [/tex]
Part 1 :
☃ [tex] \underline{ \large{ \sf{Vertical \: Line \: Test}}} : [/tex] ⇾ All the relations are not functions. We can determine ( identify ) whether a relation is function or not by drawing a vertical line intersecting the graph of the relation. This is called the vertical line test.
If the vertical line intersects the graph of a relation at one point , the relation is a function.If it cuts at more than one point , it is not a function. It means that if there are more points of the graph of a relation of a vertical line , same first component ( pre - image ) has more images ( second component ) which is not the function by definition.( See the attached picture )
In the picture ' 1 ' , The vertical line ( dotted line ) cuts the graph at one point ( P ). Thus the graph represents a function.In the picture ' 2 ' , The vertical line ( dotted line ) cuts the graph at two points P & Q. So, the graph does not represent a function.Part 2 :
☂ The set of all the images of the elements of domain under the function ' f ' is called the range of a function. In other words , the set of second components of a function is called range. We are given the function :
{(–2, 0), (–4, –3), (2, –9), (0, 5), (–5, 7)}The above numbers [ in bold ] are the range of given function. Now, If we arrange these numbers in ascending order, we get ( -9 , -3 , 0 , 5 , 7 ).
Hence , Choice B [ {y | y = –9, –3, 0, 5, 7} ] is correct.
♕ Hope I helped! ♡
☄ Have a wonderful day / night ! ☼
✎ [tex] \underbrace{ \overbrace{ \mathfrak{Carry \: On \: Learning}}}[/tex] ☥
▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁
Sample Response:
The vertical line test is a way to determine if a relation is a function. This test determines if one input has exactly one output on the graph. If any vertical line passes through more than one point on the graph, then the relation is not a function because two different outputs have the same input.
