Answer:
Reese read 26 pages on Sunday.
Step-by-step explanation:
If she read twice the amount on Saturday than she read on Sunday, then you can replace the days with variables. 2x for Saturday and x for Sunday. That leaves you with 2x + x = 78. This can be simplified to 3x = 78. We can solve this by dividing both sides by 3. This leaves you with x = 26. If x represents the pages read on Sunday then Reese read 26 pages on Sunday.
A county commissioner must vote on a resolution that would commit substantial resources to the construction of a sewer in an outlying residential area. Her fiscal decisions have been criticized in the past, so she decides to take a survey of residents in her district to find out whether they favor spending money for a sewer system. She will vote to appropriate funds only if she can be reasonably sure that a majority of the people in her district favor the measure. What hypotheses should she test?
Answer:
Step-by-step explanation:
This is a hypothesis testing involving population proportion. The null hypothesis would be that fewer than or 50% of the people would favor spending money for a sewer system. Since she will vote to appropriate funds only if she can be reasonably sure that a majority of the people in her district favor the measure, then the alternative hypothesis which she should test is that more than 50% of the people would favor spending money for a sewer system.
What is (x+2)(x+5) in polynomial standard form
Answer:
=x^2+7x+10
Step-by-step explanation:
Simplify: xx+5x+2x+2.5: x+7x+10
Add similar elements: 5x+2x= 7x
=xx+7x+2.5
xx=x2
2.5=10
=x+7x+10
Answer: =x^2+7x+10
Hope this helps.
visible light comes from which one of the sun's layers
Answer:
pHotOsPHerE
Step-by-step explanation:
Answer:
Photosphere
Step-by-step explanation:
Write out the sample space for the given experiment. Use the following letters to indicate each choice: Y for yellow, B for blue, W for white, G for gray, T for teak, and U for unfinished. While renovating your house, you have a choice of paint colors for your game room: yellow, blue, or white. You also have the following options for the finish on your entertainment center: gray, teak, or unfinished.
Answer:
YG, YT, YU, BG, BT, BU, WG, WT and WU
Step-by-step explanation:
The sample space are all the posibles options that you can take, so the sample space in these case is:
YG, YT, YU, BG, BT, BU, WG, WT and WU
Where, for example, YG means that you choose Yellow for your game room and Green for your entertainment center and BU means that you chosse Yellow for your game room and Unfinished for your entertainment center.
Please answer this correctly
Answer:
12.49 ft²
Step-by-step explanation:
The straight parts of P are both r,
So 2r + 2πr / 4 = 14.28
r (2 + π/2) = 14.28
r = 14.28 / 3.57 = 4
the area will be πr²/4 ≈ 12.56 ft²
Answer: 12.56 ft²
Step-by-step explanation:
Perimeter of a circle is known as the circumference.
C = 2π·r where r is the radius.
Perimeter of the curve of the quarter circle + both sides
[tex]Perimeter=\dfrac{1}{4}Circumference+2\ sides\\\\\\P = \dfrac{1}{4}2\pi \cdot r+2r\\\\\\14.28=\dfrac{\pi\cdot r}{2}+2r\\\\\\28.56=\pi \cdot r+4r\\\\\\28.56=r(\pi +4)\\\\\\\dfrac{28.56}{\pi +4}=r[/tex]
A = π·r²
[tex]\dfrac{1}{4}A=\dfrac{1}{4}\pi \cdot r^2\\\\\\.\quad =\dfrac{1}{4}\pi \bigg(\dfrac{28.56}{\pi +4}\bigg)^2\\\\\\.\quad =\dfrac{1}{4}(3.14)\bigg(\dfrac{28.56}{7.14}\bigg)^2\\\\\\.\quad = \large\boxed{12.56}[/tex]
A triangular prism has a triangular base with dimensions of 3" by 4" by 5"
and a volume of 210 in? What is the surface area of the triangular prism?
Answer:
432in²Step-by-step explanation:
Volume of a triangular based prism = [tex]Base\ area * height[/tex]
Base area = Area of the triangle = 1/2 * base of the triangle * height of the triangle
Since the triangular base has dimensions of 3" by 4" by 5", then it is a right angled triangle with base of 4in and height of 3in
Base Area = 1/2 * 3 * 4
Base Area = 6in²
Substituting the volume and the base area value in the formula to get the height of the prism we have;
210 = 6H
H = 210/6
H = 35in
Surface area of the triangular prism = bh + pH
b= base of the triangle = 4in
h- height of the triangle = 3in
p= perimeter of the triangle = 3+4+5 = 12in
H= height of the prism = 35in
Surface area of the triangular prism = 4(3)+12(35)
Surface area of the triangular prism = 12+420in
Surface area of the triangular prism = 432in²
ASAP! GIVING BRAINLIEST! Please read the question THEN answer CORRECTLY! NO guessing. I say no guessing because people usually guess on my questions.
Answer:
A. G(x) = x - 9
Step-by-step explanation:
For the function F(x) to shift right, there needs to be a negative number being subtracted. In this case, only answer "A," fits. This is because 9 is being subtracted, making the function shift to the right 9 units.
Which equation represents this number sentence?
Two less than one-fourth of a number is 10.
Answer:
1/4n-2=10
Step-by-step explanation:
Given tan θ = 2 and sin θ < 0. Find cos(θ +pi/4)
Answer:
√10 / 10
Step-by-step explanation:
tan θ > 0 and sin θ < 0, so θ is in quadrant III. That means cos θ < 0.
cos(θ + π/4)
Use angle sum formula.
cos θ cos(π/4) − sin θ sin(π/4)
½√2 cos θ − ½√2 sin θ
Factor.
½√2 cos θ (1 − tan θ)
½√2 cos θ (1 − 2)
-½√2 cos θ
Write in terms of secant.
-½√2 / sec θ
Use Pythagorean identity (remember that cos θ < 0).
-½√2 / -√(1 + tan²θ)
-½√2 / -√(1 + 2²)
½√2 / √5
√10 / 10
Lance needs 50 cups of water for the runners in a race. Convert the volume to gallons.
Answer:
Lance would need 3.125 gallons of water.
Step-by-step explanation:
Divide the value by 16
After converting the volume into gallons, Lance needs 3.125 gallons of water for the runners in a race.
What is Division method?Division method is used to distributing a group of things into equal parts. Division is just opposite of multiplications. For example, dividing 20 by 2 means splitting 20 into 2 equal groups of 10.
Given that;
Lance needs 50 cups of water for the runners in a race.
We know that;
⇒ 1 gallons = 16 cups
⇒ 1 cups = 1/16 gallons
Here, Lance needs 50 cups of water for the runners in a race.
Hence, We get;
⇒ 50 cups = 50 × 1/16 gallons
= 3.125 gallons
Learn more about the divide visit:
https://brainly.com/question/28119824
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The equation of a circle is given below.
(x+12)^{2}+(y-9)^{2} = 35(x+12)
2
+(y−9)
2
=35left parenthesis, x, plus, 12, right parenthesis, squared, plus, left parenthesis, y, minus, 9, right parenthesis, squared, equals, 35
What is its center
Answer:
Center is [tex](-12,9)[/tex]
Step-by-step explanation:
Given: Equation of a circle is [tex](x+12)^2+(y-9)^2=35[/tex]
To find: center of the circle
Solution:
A circle is a locus of all points which are at equidistant from the fixed point (center).
Equation of a circle is of form [tex](x-a)^2+(y-b)^2=r^2[/tex] where [tex](a,b)[/tex] represents center of the circle and r denotes radius of the circle.
Given equation is [tex](x+12)^2+(y-9)^2=35[/tex]
[tex]\left [ x-(-12) \right ]^2+(y-9)^2=35[/tex]
Compare this equation with [tex](x-a)^2+(y-b)^2=r^2[/tex]
Center is [tex](a,b)=(-12,9)[/tex]
Answer:
The raidus is 5.92
Step-by-step explanation:
please help me, i dont understand
Answer:
OK so we can see that when x increases y does too. The answer is C
A car bought for RS 1,000,000 depreciates each year by 5%.what is the insurance premium paid in the first year , second year , and the third year of purchase?
Answers soon!!
Answer:
1st year = RS 50,0002nd year = RS 47,5003rd year = RS 45,125Step-by-step explanation:
Given the cost of a car to be RS 1,000,000, if the car depreciates yearly by 5%, then the insurance premium paid which is the operating expenses eacg year will be calculated as thus;
In the first year;
insurance premium paid = 5% of RS 1,000,000
= 5/100 * 1,000,000
= RS50,000
cost of the car after the first year of usage = 1,000,000-50,000
= RS 950,000
In the second year;
Insurance premium paid in the second year = 5% of RS 950,000
= 5/100 * 950,000
= 5*9,500
= RS 47,500
cost of the car at the end of second year = 950,000-47,500 = RS 902,500
In the third year;
Insurance premium paid in the third year = 5% of RS 902,500
= 5/100 * 902,500
= 5*9,025
= RS 45,125
Question 7 of 10
2 Points
Which number produces a rational number when multiplied by 0.5%
A. V
C. -1.73205089
O D. 0.54732814
BUBMIT
A recent study reported that 22% of adults in France admitted to texting or e-mailing while driving. A random sample of 110 French adults was randomly selected. What is the probability that 26 or more of these adults admitted to admitted to texting or e-mailing while driving?
Answer:
Step-by-step explanation:
ported that 22% of adults in France admitted to texting or e-mailing while driving. A random sample of 110 French adults was randomly selected. What is the probability that 26
Using a binomial distribution with mean = n*p = 110*0.22 = 24.2 and variance = n*p*(1-p) = 24.2*(1-0.22) = 18.876
Approximating it to a normal distribution,
[tex]P(x\geq 26)\\\\=P(Z\geq \frac{26-24.2}{\sqrt{18.876} } )\\\\=P(Z\geq 0.41)\\\\=0.3481[/tex]
Write the following sentence as an equation.
The quotient of 120 and twice 20 is equal to 3.
Answer:
Check the answer. 1. ... 5 times a number plus 8 is equal to 3 times the number minus 4. 7 times a ... Twice a number is equal to 5 times the sum of the number and 6. The product ... If the equation is an identity, write the answer as “All real numbers.
Step-by-step explanation:
QUESTION OF
Factor y2 - 12y + 36
А
(y + 6)(y-6)
(y + 6)(y + 6)
(y-6)(y + 6)
(y-6)(y-6)
Answer:
(y-6)(y-6)
Step-by-step explanation:
y^2 - 12y + 36= y^2-2*6y+6^2= (y-6)^2= (y-6)(y-6)
Answer:
[tex](y-6)(y-6)[/tex]
Step-by-step explanation:
[tex]y^2 - 12y + 36[/tex]
[tex]y^2-6y-6y+36[/tex]
[tex]y(y-6)-6(y-6)[/tex]
[tex](y-6)(y-6)[/tex]
permutations and combination question ^^
Answer: choice B
Step-by-step explanation:
50C40
=50C10
=50!/40!*10!
Gabriel started to calculate the area of the triangle. His work is shown.
A =
1
2
bh
=
1
2
(
1
2
) (
3
4
)
Answer:
Like for black lives
Step-by-step explanation:
black lives matter yeahhhhhh
What is the square root of a triangle
Answer:
30 60 90
Step-by-step explanation:
Here is a quote from a Gallup report: "According to a 2018 Gallup poll, 5% of U.S. adults consider themselves to be vegetarian. Nonwhite Americans (9%) are three times as likely as white Americans (3%) to describe themselves as vegetarian." This statement is based on a random sample of 1033 American adults interviewed in July 2018, in which 270 respondents identified as "nonwhite" and 742 as "white."
The cited value 5% is part of the:___________.
A. Experimental,
B. Conditional,
C. Observational,
D. Anecdotal,
E. Marginal
distribution of the
A. Ethnicity, given diet choice,
B. Diet choice, given ethnicity,
C. Ethnicity,
D. Diet
The cited value 9% is part of the:________.
A. conditional
B. observational
C. anecdotal
D. marginal
E. experimental
distribution of:__________
1. diet choice, given ethnicity
2. ethnicity, given diet choice
3. ethnicity, diet choice.
Which math symbol represents the cited value 5%?
Answer:
Options C, D
Options E, 1
Step-by-step explanation:
The cited value 5% is part of the observational distribution of the diet
The cited value 9% is part of the experimental distribution of diet choice, given ethnicity
The math symbol that represent the 5% is P- the population proportion.
Classify the following triangle. Check ALL that apply.
.If 3x+ 6 = 5x -10,then the value of x is
Answer:
X=8
Step-by-step explanation:
3x+ 6 = 5x -10
6+10=5X-3X
16=2X
X=8
Please answer please it’s pweety ez
Answer:
67 feet^2
Step-by-step explanation:
Surface Area = 2×(4×2.6 + 4×3.5 + 2.6×3.5) = 67 feet^2
Answer:
67 feet^2
Step-by-step explanation:
Surface Area = 2×(4×2.6 + 4×3.5 + 2.6×3.5) = 67 feet^2
the square root of 20 is between what two whole numbers
Answer:
4 - 5
Step-by-step explanation:
square root of 20 is 4.472135955 therefore the two whole numbers it is between are 4 and 5.
All numbers from 1 to 100 are written in a row. How many times does each digit appear in this row:
Answer:
20
Step-by-step explanation:
10 for each for their being in the tens place, and ten for the ones place.
You stand a known distance from the base of the tree, measure the angle of elevation the top of the tree to be 15◦ , and then compute the height of the tree above eye level. Use the appropriate linear approximation to estimate the maximum possible error in your measurement of the angle (measuered in degrees) to be sure that your computation of the height has a relative error of at most ±p%. Give an exact answer, simplified as much as possible. Do not use a calculator. Assume p ∼ 0.
Answer:
The maximum possible error of in measurement of the angle is [tex]d\theta_1 =(14.36p)^o[/tex]
Step-by-step explanation:
From the question we are told that
The angle of elevation is [tex]\theta_1 = 15 ^o = \frac{\pi}{12}[/tex]
The height of the tree is h
The distance from the base is D
h is mathematically represented as
[tex]h = D tan \theta[/tex] Note : this evaluated using SOHCAHTOA i,e
[tex]tan\theta = \frac{h}{D}[/tex]
Generally for small angles the series approximation of [tex]tan \theta \ is[/tex]
[tex]tan \theta = \theta + \frac{\theta ^3 }{3}[/tex]
So given that [tex]\theta = 15 \ which \ is \ small[/tex]
[tex]h = D (\theta + \frac{\theta^3}{3} )[/tex]
[tex]dh = D (1 + \theta^2) d\theta[/tex]
=> [tex]\frac{dh}{h} = \frac{1 + \theta ^2}{\theta + \frac{\theta^3}{3} } d \theta[/tex]
Now from the question the relative error of height should be at most
[tex]\pm p[/tex]%
=> [tex]\frac{dh}{h} = \pm p[/tex]
=> [tex]\frac{1 + \theta ^2}{\theta + \frac{\theta^3}{3} } d \theta = \pm p[/tex]
=> [tex]d\theta = \pm \frac{\theta + \frac{\theta^3}{3} }{1+ \theta ^2} * \ p[/tex]
So for [tex]\theta_1[/tex]
[tex]d\theta_1 = \pm \frac{\theta_1 + \frac{\theta^3_1 }{3} }{1+ \theta_1 ^2} * \ p[/tex]
substituting values
[tex]d [\frac{\pi}{12} ] = \pm \frac{[\frac{\pi}{12} ] + \frac{[\frac{\pi}{12} ]^3 }{3} }{1+ [\frac{\pi}{12} ] ^2} * \ p[/tex]
=> [tex]d\theta_1 = 0.25 p[/tex]
Converting to degree
[tex]d\theta_1 = (0.25* 57.29) p[/tex]
[tex]d\theta_1 =(14.36p)^o[/tex]
A box of books weighs 26lb. Convert the weight to kilograms. Round to the nearest tenth.
Answer:
26 lb is 11.8 kg.
Step-by-step explanation:
A pound (lb) is a unit of mass used in the imperial and US customary systems of measurement.
A kilogram (kg) is the base unit of mass in the International System of Units (SI).
To convert 26 lb to kg.
First, use the conversion factor between pounds and kilograms.
1 kg = 2.2046 lb
Next, write the following equation to find the weight in kg:
weight in kg = weight in lb x (1 kg / 2.2046 lb)
The pounds cancel out, leaving kilograms.
weight in kg = 26 lb x (1 kg / 2.2046 lb)
weight in kg = 11.7935 kg
Rounding to the nearest tenth.
weight in kg = 11.8 kg
I need help one question 10 A to E
Answer:
Answers are below
Step-by-step explanation:
10a) Find how many multiples of 3 there are 4/12 = 1/3
10b) Find how many factors of 12 there are 6/12 = 1/2
10c) Find how many prime numbers there are 5/12
10d) 3/12 = 1/4
10e) Find how many numbers are less than 12 11/12
Evaluate 3x^3 +2x^2-2x+6 at x=4
Answer:
It should be 222
Step-by-step explanation:
Answer:
222
Step-by-step explanation:
3x^3+2x^2-2x+6
x=4
=3(4)^3+2(4)^2-2(4)+6
=192+32-8+6
=224-2
=222
