Answer:
4-5x+x=27
Step-by-step explanation:
5x+x =27+4
=5x+x=31
x+x=31/5
2x=31/5
2x=6.2
x= 6.2/2
x=3.1
PLS ANSWER ASAP THANKS
Answer:
x=54°
Step-by-step explanation:
x+36°=90°
x=90°-36°
x=54°
HOPE IT HELPS U
HAVE A GREAT DAY
HELP what's the distance for this question?
Answer:
[tex]Distance = 38.57ft[/tex]
Step-by-step explanation:
Given
[tex]Base = 60[/tex]
[tex]\theta = 50[/tex]
Required
The distance between the top and John
The distance is calculated using:
[tex]sin\alpha = \frac{Distance}{Base}[/tex]
Where
[tex]\alpha = 90 - \theta[/tex] --- the angle between the diagonal line and the vertical line
[tex]\alpha = 90 - 50[/tex]
[tex]\alpha = 40[/tex]
So, we have:
[tex]Sin(40) = \frac{Distance}{60}[/tex]
[tex]Distance = 60 * sin(40)[/tex]
[tex]Distance = 60 * 0.6428[/tex]
[tex]Distance = 38.57ft[/tex]
[tex]Distance = 986 * tan(38)[/tex]
[tex]Distance = 986 * 0.7812[/tex]
[tex]Distance = 770ft[/tex] --- approximated
If v = u + 3t find v when u = −12 and t = 3
1. -3
2. -2
3. 8
4. -4
What is 12 1/2 - 7 6/7?
Answer:
4 9/14
Step-by-step explanation:
Answer:
The answer is 4 9/14
pls do this showing your work <3
Answer:
Step-by-step explanation:
pls do this showing your work <3
Area of a sector = Ф/360 * πr²
Question 60/62 (3.p.)
KAH
ht
w
2011
Solve and choose the correct answer.
A water tank is in the form of a cylinder whose radiusis 2 m and length is
3.5 m. The quantity of water in litres that can be stored in the tank is
..
Answer:
Capacity of tank = 44,000 l
Step-by-step explanation:
Given:
Height of tank = 3.5 m
Radius = 2 m
Find:
Capacity of tank
Computation:
Volume of cylinder = πr²h
Volume of cylinder = (22/7)(2)²(3.5)
Volume of cylinder = 44 m³
1m³ = 1000 l
So,
Capacity of tank = 44 x 1,000
Capacity of tank = 44,000 l
A sphere has a volume of 36(pi) in^3. What is the surface area in terms of Pi
Answer:
la verdad que depende de la situación
The farm raises some rabbits and native chickens. The number of native chickens is six times the number of rabbits, with a total of 560 feet. farm
Raised ? rabbit.
The farm raises some rabbits and native chickens. The number of native chickens is six times the number of rabbits, with a total of 560 feet. farm
Raised ? rabbit.
Find the discriminant and the num
x2 + 2x + 7 = 0
A. 28; two real roots
Answer:
Discriminant = -24, no real roots.
Step-by-step explanation:
The discriminant is what's inside the square root in the quadratic formula.
The quadratic formula is:
[tex]\frac{-b+\sqrt{b^2-4ac} }{2a}[/tex] and [tex]\frac{-b-\sqrt{b^2-4ac} }{2a}[/tex]
a = 1
b = 2
c = 7
The question wants the discriminate, we can just focus on the square root part.
When we plug in the parts we got, it becomes:
[tex]\sqrt{4-4(1)(7)}\\\sqrt{4-28} \\\sqrt{-24}[/tex]
Since the inside of the square root is negative, there are no real roots.
I got 49 will someone double check me please?!
Answer:
m<YVX = 49°
Step-by-step explanation:
Given:
m<YVZ = 52°
m<ZVW = 36°
m<XVU = 43°
m<YVX + m<YVZ + m<ZVW + m<XVU = 180° (angles in a straight line)
m<YVX + 52 + 36 + 43 = 180 (substitution)
m<YVX + 131 = 180
m<YVX = 180 - 131
m<YVX = 49°
I need help plz I can’t cuaet well understand it
Answer:
so basically all u have to do is multiply the length, width, and height.
that's literally it to find the volume of this
so the answer would be 37 1/8 I think
hope this helped
What property of equality is illustrated by the following statement?
If 3 x = y and y = 4x - 5 then 3x = 4x - 5.
A Distributive property
B Reflexive property
C Transitive property
D Symmetric property
Answer:
A. Distributive Property
Step-by-step explanation:
Both 3x and 4x-5 equal y therfore both expressions equal each other.
Which of the following ordered pairs would lie on the same line of direct variation as (16,4)? Select all correct answers.
Answer:
FFFFF
Step-by-step explanation:
FFFFFFFFF
Answer:
Not sure, sorry
Step-by-step explanation:
At a graduation dinner, an equal number of guests were seated at each of 12 large tables, and 8
late-arriving guests were seated at a smaller table. There were 128 guests in all. If n represents the
number of people seated at each of the large tables, what equation could you use to find the value
of n?
A. 12n - 8 = 128
B. 12n +8 = 128
C. 8n + 12 = 128
D. 8n - 12 = 128
does anyone know the answer to this? 5x-(4+3x)
Answer:
2x-4
Step-by-step explanation:
5x-(4+3x)
5x-4-3x
5x-3x-4
2x-4
The mean of a population is 74 and the standard deviation is 15. The shape of the population is unknown. Determine the probability of each of the following occurring from this population. Appendix A Statistical Tables a. A random sample of size 36 yielding a sample mean of 78 or more b. A random sample of size 150 yielding a sample mean of between 71 and 77 c. A random sample of size 219 yielding a sample mean of less than 74.2Incorrect. The mean of a population is 74 and the standard deviation is 15. The shape of the population is unknown. Determine the probability of each of the following occurring from this population. Appendix A Statistical Tables a. A random sample of size 36 yielding a sample mean of 78 or more b. A random sample of size 150 yielding a sample mean of between 71 and 77 c. A random sample of size 219 yielding a sample mean of less than 74.2
Answer:
a) 0.0548 = 5.48% probability of a random sample of size 36 yielding a sample mean of 78 or more.
b) 0.9858 = 98.58% probability of a random sample of size 150 yielding a sample mean of between 71 and 77.
c) 0.5793 = 57.93% probability of a random sample of size 219 yielding a sample mean of less than 74.2
Step-by-step explanation:
To solve this question, we need to understand the normal probability distribution and the central limit theorem.
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
Central Limit Theorem
The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
The mean of a population is 74 and the standard deviation is 15.
This means that [tex]\mu = 74, \sigma = 15[/tex]
Question a:
Sample of 36 means that [tex]n = 36, s = \frac{15}{\sqrt{36}} = 2.5[/tex]
This probability is 1 subtracted by the pvalue of Z when X = 78. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
By the Central Limit Theorem
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{78 - 74}{2.5}[/tex]
[tex]Z = 1.6[/tex]
[tex]Z = 1.6[/tex] has a pvalue of 0.9452
1 - 0.9452 = 0.0548
0.0548 = 5.48% probability of a random sample of size 36 yielding a sample mean of 78 or more.
Question b:
Sample of 150 means that [tex]n = 150, s = \frac{15}{\sqrt{150}} = 1.2247[/tex]
This probability is the pvalue of Z when X = 77 subtracted by the pvalue of Z when X = 71. So
X = 77
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{77 - 74}{1.2274}[/tex]
[tex]Z = 2.45[/tex]
[tex]Z = 2.45[/tex] has a pvalue of 0.9929
X = 71
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{71 - 74}{1.2274}[/tex]
[tex]Z = -2.45[/tex]
[tex]Z = -2.45[/tex] has a pvalue of 0.0071
0.9929 - 0.0071 = 0.9858
0.9858 = 98.58% probability of a random sample of size 150 yielding a sample mean of between 71 and 77.
c. A random sample of size 219 yielding a sample mean of less than 74.2
Sample size of 219 means that [tex]n = 219, s = \frac{15}{\sqrt{219}} = 1.0136[/tex]
This probability is the pvalue of Z when X = 74.2. So
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{74.2 - 74}{1.0136}[/tex]
[tex]Z = 0.2[/tex]
[tex]Z = 0.2[/tex] has a pvalue of 0.5793
0.5793 = 57.93% probability of a random sample of size 219 yielding a sample mean of less than 74.2
11. Together, Andy and Ben can re-roof a certain house in six days. When Ben works alone, it takes him 9 days longer than when Andy works by himself. How long does it take each person to re-roof the same house independently?
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What is sinK?
A. 12/13
B.13/12
C.5/13
D.5/12
Answer:
A. 12/13
Step-by-step explanation:
Remember SOH, CAH, TOA.
In this situation, the function is sine so sine= opposite/hypotenuse.
The side opposite of K is 12.
The hypotenuse is the longest side so it will be 13.
Therefore, sineK= 12/13(a)
Answer:
12/13
Step-by-step explanation:
5 divide 1/6 in simplest form
Answer:
30
Step-by-step explanation:
Attached belw ::
I hope im right!!
True or false. Explain.
The volumes of a rectangular-based pyramid and a triangular-based pyramid with congruent heights and equal base areas are equal
Answer:
true
Step-by-step explanation:
Solve for the area of the part shaded in purple
Answer:
area of a trapezium
1/2 ( a+b)h
1/2 (15+9)15
1/2 *24*15
12*15
=180
Answer:
180 cm
Step-by-step explanation:
this is because if you find the correct area of the purple rectangular shape first, you would have the equation 15 x 9. this equation will give us an answer of 135 mm. our next step would be to find the area of the triangle.
our equation for this will be 15 x 6. this will give us our answers of 90. but because it is a triangle, we will have to divide by two. given is 45. our new equation will now be 135 + 45 given us our sum of 180 cm for the assumed area.
Explain why the denominator does not change when you are counting by the
unit fraction 1
··4
to reach 3
··4 .
Answer: Your splitting 1 into 4 parts and I don't think anything here tells me you need to simplify bc then it would be, 1/2, which is not 3/4. It's like having one quarter that equals 25c, 50, 75, a 1.00, but it's 0.25 and 0.75?
Step-by-step explanation:
please help me asap!!!!
Answer:
there's no picture info here...
Step-by-step explanation:
PLEASE HELP WILL MARK BRAINLIEST!!
rewriting exponential equations using the same base?
Answer:
[tex] \large1) \sf {2}^{8x} = {2}^{5 x+ 15} [/tex]
[tex] \large \: 2)\sf {2}^{ - 4x} = {2}^{2x + 2} [/tex]
Step-by-step explanation:
to understand thisyou need to know about:law of exponentPEMDASlet's solve:[tex] \sf rewrite \: 16 \: as \: {2}^{4} : \\ \sf {2}^{4(2x)} = {32}^{x + 3} [/tex][tex] \sf rewrite \: 32 \: as \: {2}^{5} : \\ {2}^{4(2x)} = {2}^{5(x + 3)} [/tex][tex] \sf distribute : \\ \sf {2}^{8x} = {2}^{5 x+ 15} [/tex]let's figure out the second one:
[tex] \sf rewrite \: \frac{1}{16} \: as \: {2}^{ - 4} : \\ \sf {2}^{ - 4(x)} = {4}^{x + 1} [/tex][tex] \sf rewrite \: 4 \: as \: {2}^{2} : \\ \sf {2}^{ - 4(x)} = {2}^{2(x + 1)} [/tex][tex] \sf distribute : \\ {2}^{ - 4x} = {2}^{2x + 2} [/tex]Jada was at the state fair from 8:45 am until 11:00 am. How much time did Jada spend at the state fair?
Answer:
Jada spent 3 hours and 15 minutes at the state fair.
Step-by-step explanation:
She started at 8:45 am and left at 11:00 am.
So 8:45 to 9 is 15 minutes.
So how far away is 9 am to 11 am?
11 - 9 = 3
3 hour difference
But remember to add the 15 minutes from the 8:45 to 9
Jada spent 3 hours and 15 minutes at the state fair.
use the quadratic formula to find the solution to the question
3x^2-10x+5=0
Answer:
[tex]x_{1} =[/tex] [tex]\frac{5 + \sqrt{10} }{3}[/tex] and [tex]x_{2} =[/tex] [tex]\frac{5 - \sqrt{10} }{3}[/tex]
Step-by-step explanation:
3x^2-10x+5=0
[tex]x_{1}[/tex] = [tex]\frac{10 + \sqrt{10^{2}-4*3*5 } }{2*3}[/tex] [tex]x_{2} =[/tex] [tex]\frac{10 - \sqrt{10^{2}-4*3*5 } }{2*3}[/tex]
[tex]x_{1} =[/tex] [tex]\frac{10 + \sqrt{100-60} }{6}[/tex] [tex]x_{2} =[/tex] [tex]\frac{10 - \sqrt{100-60} }{6}[/tex]
[tex]x_{1} =[/tex] [tex]\frac{10 + \sqrt{40} }{6}[/tex] [tex]x_{2} =[/tex] [tex]\frac{10 - \sqrt{40} }{6}[/tex]
[tex]x_{1} =[/tex] [tex]\frac{10 + 2\sqrt{10} }{6}[/tex] / 2 [tex]x_{2} =[/tex] [tex]\frac{10 - 2\sqrt{10} }{6}[/tex] / 2
[tex]x_{1} =[/tex] [tex]\frac{5 + \sqrt{10} }{3}[/tex] [tex]x_{2} =[/tex] [tex]\frac{5 - \sqrt{10} }{3}[/tex]
Will mark Brainliest! What is the value of P. Thank you!
Answer:
question of number 10 is 3
Two cars start towards each other from points 200 miles apart. One car travels at 40 miles
per hours and the other travel at 35 miles an hour. How far apart will the two cars be after
four hours of continuous travelling?
(a) 20
(b) 40
(c) 75
(d) 100
Answer:
D) 100
Step-by-step explanation:
Solution: After four hours, one car travels 40 x 4 = 160 km, and the other car travels 35 x 4 = 140 km. Therefore, the two cars are 160 + 140 - 200 = 100 km apart
THANK YOU
Peggy took a timed 30
question test. She answered
60% of the questions and
skipped the rest. How many
did she answer?
Answer: 18 questions
Step-by-step explanation:
First we want to make 60% a decimal so we divide by 100.
This gives us 0.6
Then we multiply 30*0.6=18
18 questions
[tex]b + \sqrt{b} \: \: \: \: - 12[/tex]
factorize it