Answer:
[tex]x-9[/tex]
Step-by-step explanation:
[tex]side_1=2x+5\\side_2=x+3\\side_3=\phi\\perimeter=\displaystyle\sum_{i=1}^3side_i=(2x+5)+(x+3)+\phi=4x-1\\\phi=4x-1-x-3-5-2x=x-9[/tex]
The length of the third side in terms of x is x+1.
What is the perimeter of the triangle?The perimeter of a triangle is the sum of all its three sides.
We can work out the perimeter using the following formula:
The perimeter of a triangle is = sum of all three sides.
The length of the third side in terms of x is given by;
[tex]\rm Perimeter \ of \ triangle = Side \ a + Side \ b + Side \ c[/tex]
Substitute all the values in the formula
[tex]\rm Perimeter \ of \ triangle = Side \ a + Side \ b + Side \ c\\\\4x-1=2x-5+x+3+Side \ c\\\\4x-1=3x-2+Side \ c\\\\Side \ c=4x-3x-1+2\\\\Side \ c=x+1[/tex]
Hence, the length of the third side in terms of x is x+1.
Learn more about triangles here;
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A materials engineer wants to test whether or not a certain device spends an average of more than 30 seconds soaking a component part in solution. Therefore, she goes out and takes a simple random sample of n =16 parts, and finds that the sample mean is 33.4 seconds with a sample standard deviation of s =8.0 seconds.
At α= 0.05, the Shapiro-Wilk Test for Normality has a p-value of p = 0.0667.
Suppose the engineer goes back and she selects a 17th sample unit. Using a 95% confidence level, provide the lower end point of a two-tailed interval that would be used to predict the range of values that this 17th sampled unit would be in with respect to seconds soaking a component part in solution.
Answer:
Using a 95% confidence level, the lower end point of a two-tailed interval that would be used to predict the range of values that this 17th sampled unit would be in with respect to seconds soaking a component part in solution is of 29.137 seconds.
Step-by-step explanation:
We have the standard deviation for the sample, which means that the t-distribution is used to solve this question.
The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So
df = 16 - 1 = 15
95% confidence interval
Now, we have to find a value of T, which is found looking at the t table, with 15 degrees of freedom(y-axis) and a confidence level of [tex]1 - \frac{1 - 0.95}{2} = 0.975[/tex]. So we have T = 2.1315
The margin of error is:
[tex]M = T\frac{s}{\sqrt{n}} = 2.1315\frac{8}{\sqrt{16}} = 4.263[/tex]
In which s is the standard deviation of the sample and n is the size of the sample.
The lower end of the interval is the sample mean subtracted by M. So it is 33.4 - 4.263 = 29.137 seconds.
Using a 95% confidence level, the lower end point of a two-tailed interval that would be used to predict the range of values that this 17th sampled unit would be in with respect to seconds soaking a component part in solution is of 29.137 seconds.
PLEASE HELP ME ITS DUE SOON
1 less than the square of a number.
3 is the only number which is one less than a square...
Find the x and y intercepts of the equation. Express your answers as points. 5 x + 7 y = − 140
Answer:
x-intercept(s): (-28, 0)
y-intercept(s): (0, -20)
Step-by-step explanation:
Try This Answer.
Evaluate the following integral over the ellipse
The underlying vector field,
F(x, y) = -y/(4x ² + 9y ²) i + x/(4x ² + 9y ²) j,
is conservative, so any integral of F over a closed path is 0.
To establish that F is conservative, we want to find a scalar function f(x, y) whose gradient is equal to F(x, y), which entails solving
[tex]\dfrac{\partial f}{\partial x}=-\dfrac y{4x^2+9y^2}[/tex]
[tex]\dfrac{\partial f}{\partial y}=\dfrac x{4x^2+9y^2}[/tex]
Integrating the first equation with respect to x yields
[tex]f(x,y)=-\dfrac16\arctan\left(\dfrac{2x}{3y}\right)+g(y)[/tex]
and differentiating with respect to y gives
[tex]\dfrac x{4x^2+9y^2}=\dfrac x{4x^2+9y^2}+\dfrac{\mathrm dg}{\mathrm dy} \implies \dfrac{\mathrm dg}{\mathrm dy}=0 \implies g(y)=C[/tex]
Susan’s ribbon is 3.8 metres long.
What is the length of her ribbon in millimetres?
Answer:
the answer is 3800mm.because 1m is 1000mm
You choose a marble at random from a bag contains 12 red 10 blue 5 green 4 yellow and 29 black marbles. The marble is red.
Step-by-step explanation:
P(red) = 12/(12+10+5+4+29)
= 12/60
= 1/5
= 0.2
= 20%
5.6x10^11-1.12x10^10=
Answer:
548800000000
Step-by-step explanation:
5.6 × 10¹¹ - 1.12 × 10¹⁰
560000000000 - 11200000000
548800000000
The scatterplot shows the time spent playing a video game and the number of points scored by several students.
Based on the scatterplot, which is the best prediction of the number of points scored by a student who spends 45 minutes playing the video game?
It seems you havent posted a graph
An analyst tested the null hypothesis µ ≥ 30 against the alternative hypothesis that µ < 30. The analyst reported a p-value of 0.07. For what significance level of will the null hypothesis would be rejected?
Answer:
For significance levels lower than 0.07, the null hypothesis would be rejected.
Step-by-step explanation:
Decision regarding the null hypothesis:
The decision depends on the p-value of the test.
If the p-value of the test is less than the significance level, the null hypothesis is reject.
If the p-value of the test is more than the significance level, the null hypothesis is not reject.
The analyst reported a p-value of 0.07. For what significance level of will the null hypothesis would be rejected?
From the theory above, for significance levels lower than 0.07, the null hypothesis would be rejected.
Find the volume of a prism
Answer:
10x7x5=350. Your answer is B! heart it if it was good!
Step-by-step explanation:
Answer:
to find the volume of a prism you need to multiply its 3 dimensions: length x width x height. The volume is expressed in cubic units.
Step-by-step explanation:
Write the equation of the line that passes through the points (1, -7) and (-6, -9).
Put your answer in fully reduced point-slope form, unless it is a vertical or horizontal
line.?
Answer:
y = 2/7 x - 51/7
Step-by-step explanation:
Equation of the line
(y-y1)/(y2-y1) = (x-x1)/(x2-x1)
(y-(-7)/(-9-(-7) = (x-1)/(-6-1)
(y+7)/-2 = (x-1)/-7
(-y-7)/2 = (-x+1)/7
-y-7 = -2/7 x + 2/7
-y = -2/7x +2/7 + 7
y = 2/7 x - 2/7 - 7
y = 2/7 x + (-2-49)/7
y = 2/7 x - 51/7
what is 4/7 x 13/9 I need help please
Answer:
0.825
Step-by-step explanation:
Answer:
52/63
hope this helps
have a good day :)
Step-by-step explanation:
Use the synthetic division to find the real zeros of f(x)=2x3 +7x2+2x-3
Answer:
[tex]f(x) = {2x}^{3} + {7x}^{2} + 2x - 3 \\ f( \frac{1}{2} ) = 0 \\ f( - 3) = 0 \\ zeros \: = > 0 \: \: and \: \: - 3[/tex]
I'm kinda lost here, what do I do when the quadrant is given? CanI have some of these solved at least with steps?
Answer:
See Explaination
Step-by-step explanation:
According To Question
In Quadrant-1 (0* to 90*) ( All the Trignometry Functions are Positive )In Quadrant-2 (90* to 180*) (Only Sine & Cosecant are Positive)In Quadrant-3 (180* to 270*) (Only Tangent & Cotangent Are Positive)In Quadrant-4 (270* to 360*) ( Only Cosine & Secant Are Positive)(Diagram, Please Find In Attachment)
Question 38 . Cos ∅ = 12/13 ∅ in Quadrant-4(Where only Cos & Sec are Positive all other Functions Are Negative in this Quadrant)
Now ∅ Represent a Right Angle Triangle with Base=12 Perpendicular=5 & Hypothenese=13
other Five Trignometry Functions Are as FollowSin∅ = -5/13 , Cosec∅=-13/5 , Tan∅=-5/12 , Cot∅=-12/5 & Sec∅=13/12
Question 39 . SinX=-3/4 X Lies in Quadrant-3(Where only Tan & Cot are Positive all other Functions Are Negative in this Quadrant)
Now For Other Trignometry FunctionsFind By Using Basic Formulas
[tex]SinX^{2}+CosX^{2}=1[/tex] ↔ Put Value of Sin∅=-3/4
We get CosX= ±[tex]\frac{\sqrt{5} }{4}[/tex] (but X Lies in Quadrant-3 Where Cosine Is Negative , So Neglect CosX= +[tex]\frac{\sqrt{5} }{4}[/tex])
So CosX= -[tex]\frac{\sqrt{5} }{4}[/tex] ...... now you get the point . All Questions Will Solve like This .
It is believed that 25% of U.S. homes have a direct satellite television receiver. How large a sample is necessary to estimate the true population of homes which do with 95% confidence and within 3 percentage points?
Answer:
A sample of 801 is needed.
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.
[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In which
z is the z-score that has a p-value of [tex]1 - \frac{\alpha}{2}[/tex].
The margin of error is of:
[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
95% confidence level
So [tex]\alpha = 0.05[/tex], z is the value of Z that has a p-value of [tex]1 - \frac{0.05}{2} = 0.975[/tex], so [tex]Z = 1.96[/tex].
25% of U.S. homes have a direct satellite television receiver.
This means that [tex]\pi = 0.25[/tex]
How large a sample is necessary to estimate the true population of homes which do with 95% confidence and within 3 percentage points?
This is n for which M = 0.03. So
[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
[tex]0.03 = 1.96\sqrt{\frac{0.25*0.75}{n}}[/tex]
[tex]0.03\sqrt{n} = 1.96\sqrt{0.25*0.75}[/tex]
[tex]\sqrt{n} = \frac{1.96\sqrt{0.25*0.75}}{0.03}[/tex]
[tex](\sqrt{n})^2 = (\frac{1.96\sqrt{0.25*0.75}}{0.03})^2[/tex]
[tex]n = 800.3[/tex]
Rounding up:
A sample of 801 is needed.
I need help immediately 156 1/42- 55 1/6
Answer:
100 6/7
Step-by-step explanation:
156 1/42-55 1/6
= 156 1/42 - 55 7/42
=100 36/42
=100 6/7
Answer:
100 6/7
Step-by-step explanation:
156 1/42-55 7/42
=100 36/42
=100 6/7
Which graph best represents the equation f(x) = 2(5)^x
Answer:
H
Step-by-step explanation: 6 4 17 30
if x = 0 f(0) = 2×5^0
= 2 × 5
= 10
H is the only graph that equals 10 at x=0
Answer:
See the image below for the answer:)
Step-by-step explanation:
Hope this was helpful.
Evaluate n^2 -m. If you n=-5 and m=3
Answer:
22
Step-by-step explanation:
n² - m =
-5² - 3 =
25 - 3 = 22
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
Answer:
22
Step-by-step explanation:
(-5)^2- 3
two negatives make a positive which would be 25 then minus the 3
=25-3
then you get your total
=22
I’ll give brainliest if you answer this right
Answer:
$16 per hour
Step-by-step explanation:
He earns $16 per hour as shown in the figure
PLZ SOLVE. DONT BE WRONG PLEASEEEE I NEDD ED THIS
Answer:
288
Step-by-step explanation:
Take the area of every individual section, and add them together.
24
24
100
80
60
What is the equation of the graph shown above
What is photosynthesis?
▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓[tex]\pmb{\qquad{\qquad{\underline{\green{\underline{\sf{Photosynthesis}}}}}}}[/tex]
Photosynthesis is the process by which green plants take in carbon dioxide and water, in the presence of chlorophyll by using sunlight to make their own food. Oxygen is released as a by product.
Chemical Reaction for PHOTOSYNTHESIS:
[tex]\sf 12H_2O + 6CO_2 \underset{chlorophyll}{\xrightarrow{Sunlight}} C_6H_{12}O_6 + 6H_2O + 6O_2 \uparrow[/tex]▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓
The circumference of a circle is 36 cm.
What is the radius of the circle?
Answer:
The radius is 6 cm rounded
Step-by-step explanation:
[tex]C[/tex] stands for circumference
[tex]r[/tex] stands for radius
here's the formula to find the radius: [tex]r=\frac{C}{2\pi }[/tex]
[tex]r=\frac{36}{6.283}[/tex]
[tex]r=5.729[/tex]
Hope this helps
Answer:
r = 18/pi or approximately 5.732484076 cm
Step-by-step explanation:
The circumference of a circle is given by
C = 2 * pi *r
36 = 2*pi*r
Divide each side by 2 pi
36 / (2pi) = 2pi r/ (2pi)
18/ pi = r
Using 3.14 for pi
18/ 3.14 = r
5.732484076 = r
A jar contains 6 red marbles numbered 1 to 6 and 8 blue marbles numbered 1 to 8. A marble is drawn at random from the jar. Find the probability the marble is red or odd numbered.
Answer:
[tex]P(R\ or\ odd\ Numbered)=5/7[/tex]
Step-by-step explanation:
From the question we are told that:
Number of Red Marble [tex]n_r=6[/tex]
Number of Blue Marble [tex]n_b=8[/tex]
Sample size [tex]n=n_r+n_b[/tex]
[tex]n=6+8[/tex]
[tex]n=14[/tex]
And
No of red or Odd numbered [tex]x= 6+4 = 10[/tex]
Generally the equation for probability the marble is red or odd numbered. is mathematically given by
[tex]P(R or odd Numbered)=x/n[/tex]
[tex]P(R or odd Numbered)=10/14[/tex]
[tex]P(R\ or\ odd\ Numbered)=5/7[/tex]
Medida de la base de un triángulo que tiene un area de 65 m2 y de altura 13 m
Answer:
10 metros.
Step-by-step explanation:
Para determinar la medida de la base de un triángulo que tiene un área de 65 metros cuadrados y una altura de 13 metros se debe realizar el siguiente cálculo, sabiendo que el área de un triangulo es igual a multiplicar su base por su altura, y dividir dicho resultado por 2:
(X x 13) / 2 = 65
X x 13 = 65 x 2
X = 130 / 13
X = 10
Por lo tanto, la base del triángulo es de 10 metros.
What set or sets does negative squareroot of 20 belong to? is it a real number, rational, integer, whole number, irrational, or natural?
Answer:
Real number and Irrational number
Step-by-step explanation:
Given
[tex]-\sqrt{ 20[/tex]
Required
The set it belongs to
First, solve the expression
[tex]-\sqrt{ 20} = -4.472136[/tex]
The above number is not an integer and it is not whole or natural because it has decimal points
It is not a rational number because it cannot be expressed as a simple fraction
However, the number can be categorized as either irrational or real because of the level of the decimal point in the result
One afternoon the water park sold 525 tickets for a total of $13,545. Child tickets cost $19 each, and adult tickets cost $40 each. How many of each kind of ticket were sold?
Answer:
c = 355 ; a = 170
Step-by-step explanation:
c = children
a = adults
c + a = 525
19c + 40a = 13545
19c + 19a = 9975
19c + 40a = 13545
-21a = - 3570
a = 170
c + 170 = 525
c = 355
Can someone help me please !
Work out the size of angle x
Answer:
[tex]x=47^{\circ}[/tex]
Step-by-step explanation:
By definition, parallelograms have two pairs of parallel sides. Therefore, AD and BC are parallel, and the angles marked with [tex]x[/tex] and [tex]47^{\circ}[/tex] are alternate interior angles. Since alternate interior angles are equal, we have [tex]x=\boxed{47^{\circ}}[/tex]