Answer: x=-1
5x+9=4
-9 -9
_______
5x= -5
/5 /5
x= -1
[tex]\huge{\boxed{\sf{x=-1}}}[/tex]
[tex]\huge{\pink{Given \: Equation:}}[/tex]
Step 1:
[tex]5x + 9 = 4[/tex]
Step 2:
[tex]⇒5x = 4 - 9[/tex]
Step 3:
[tex]⇒5x = - 5[/tex]
Step 4:
[tex]⇒x = \frac{ - 5}{5} [/tex]
Step 5:
[tex]⇒x = - 1✓[/tex]
[tex]\huge{\blue{Verification:}}[/tex]
Step 1:
[tex]5x+9=4.[/tex]
Step 2:
[tex]⇒5 \times - 1 + 9 = 4[/tex]
Step 3:
[tex]⇒ - 5 + 9 = 4[/tex]
Step 4:
[tex]\red{⇒4 = 4}[/tex]
[tex]\huge{†Hence \: Vertified†}[/tex]
A poll conducted the day before the student- body presidential election at a midwestern university showed that 53.9 percent favored Mario, the rest favoring Yin Ling. The margin of error was 4.2 percentage points. Should Yin Ling have conceded the election?
Answer:
No
Step-by-step explanation:
The confidence interval of the percentage of people that favored Mario = number of votes favoring Mario ± Margin of error
The confidence interval = 53.9% ± 4.2% = (49.7%, 58.1%)
This means that between 49.7% to 58.1% of the people would have voted for Mario.
Hence Yin Ling would not have won the election, since there is a probability that 50% would have voted for Mario
Which graph represents the solution set for the compound inequality below?
Answer:
Option 1
Step-by-step explanation:
First inequality:
-x/3>=-3 => x<9
Second inequality:
x>=17
What are rational numbers
Answer:
In mathematics, a rational number is a number that can be expressed as the quotient or fraction p/q of two integers, a numerator p and a non-zero denominator q. Since q may be equal to 1, every integer is a rational number.
Any number that can be written as a fraction with integers is called a rational number . For example, 17 and −34 are rational numbers
Answer:
C. it cannot be a whole number
Step-by-step explanation:
You start at (-2, 2). You move up 1 unit and left 3 units. Where do you end?
Answer:
(-5, 3)
Step-by-step explanation:
Moving up one will give you (-2, 3) and moving left three brings you to (-5, 3).
SOME 1 HELP WITH 11 PLZZZZ
Answer: Tiffany got 45 questions right! Hope this helped.
Step-by-step explanation:
In Level 1, Nora earned 16 points because her bridge passed inspection. Then, she lost 25 points because part of her bridge collapsed! What was Nora's score at the end of Level 1?
Answer:
-9 points
Step-by-step explanation:
PLEASE HELP ASAP, WILL MARK BRAINLIEST
Answer:
[tex] \sqrt{5} < 2.9 \\ = true \\ \\ 4 > \sqrt{23} \\ = false \\ \\ \frac{ \sqrt{30} }{5} < \frac{7}{5} \\ = true[/tex]
Hopes it helps you ☺️☺️Thank you ☺️☺️
Can someone help please?
Answer:
It’s either A or C. However I’m mostly going with C. For C tells us 2 hours and 23 minutes have passed. I hope this helps.
Step-by-step explanation:
Please correct me if I am wrong.
Jane and Jillian are hiking around a hill and one complete circle is 8 miles long. They start together but hike in opposite directions. Both start to hike at 8:00 AM. Jane's hiking speed is 3 mph and Jillian's hiking speed is 5 mph. How long will it take before they meet? At what time will they meet? In how many hours? What time will they meet at?
Answer:
It will tale 1 hour before they meet and they will meet agin at 9 :00 AM.
Step-by-step explanation:
Speed of Jane, [tex]v_1=3[/tex] mph
and the speed of Jillian, [tex]v_2= 5[/tex] mph.
Length of one complete circle = 8 miles.
Both are moving in the opposite direction, let the starting point is at O, and met at the point P after time, t, as shown in the figure.
Let the length covered by Jane via path OAP= x miles.
[tex]\Rightarrow x= 3t[/tex] [as distance= speed x time]
[tex]\Rightarrow t=x/3 \cdots(i)[/tex]
The length covered by Jillian via path OBP [tex]= 8-x[/tex] miles
[tex]\Rightarrow 8-x= 5t[/tex] [as distance = speed x time]
[tex]\Rightarrow t=(8-x)/5 \cdots(i)[/tex]
Now from equation (i) and (ii),
[tex]\frac{x}{3} = \frac{8-x}{3}[/tex]
[tex]\Rightarrow 5x=3(8-x)[/tex]
[tex]\Rightarrow 5x+3x=24[/tex]
[tex]\Rightarrow x=3[/tex]
So, the distanc covered by Jane = 3 miles and
the distanc covered by Jillian = 8-3=5 miles
From equation (i), time taken, t = 3/3= 1 hour.
So, it will tale 1 hour before they meet.
As the startion time was 8:00 AM, so the will agin meet at 9 :00 AM.
Find the distance between V (4.4) and X (5.8). Round to the nearest tenth, if necessary. about units
Answer:
V= 5 X=6
Step-by-step explanation:
PLEASE HELP HELP PLEASEEEEEEEEEEEEE
Answer:
D
Step-by-step explanation:
So it needs to go down because its negative. So B and C are out. Now if you look at the y intercept (4), you just have to look at which graph has a y intercept that's positive. So that's D
I promise u your gonna have a bright future if u help me with this ! and I'll brainlist
11. A) x = 0
y = 2x + 5
=> y = 2 * 0 + 5
=> y = 0 + 5 = 5
=> y = 5 (First blank)
x = 1
y = 2x + 5
=> y = 2 * 1 + 5
=> y = 2 + 5 = 7
=> y = 7 (Second blank)
x = 2
y = 2x + 5
=> y = 2 * 2 + 5
=> y = 4 + 5
=> y = 9 (Third blank)
x = 3
y = 2x + 5
=> y = 2 * 3 + 5
=> y = 6 + 5
=> y = 11 (Fourth blank)
x = 4
=> y = 2x + 5
=> y = 2 * 4 + 5
=> y = 8 + 5
=> y = 13 (Fifth blank)
11. B) x = 0
=> y =
=> y = 3 * 0 * 0 + 1
=> y = 0 + 1
=> y = 1 (First blank)
x = 1
=> y =
=> y = 3 * 1 * 1 + 1
=> y = 3 + 1
=> y = 4 (Second blank)
x = 2
=> y =
=> y = 3 * 2 * 2 + 1
=> y = 12 + 1
=> y = 13 (Third blank)
x = 3
=> y =
=> y = 3 * 3 * 3 + 1
=> y = 27 + 1
=> y = 28 (Fourth blank)
x = 4
=> y =
=> y = 3 * 4 * 4 + 1
=> y = 48 + 1
=> y = 49 (Fifth blank)
For more info, here's a picture,
If my answer helped, kindly mark me as the Brainliest!!
Thank You!!
A company ships two different products, one in smaller packages that weighs 12 pounds and the other in a 20-pound package. A shipment of nine packages weighs a total of 124 pounds. What is
the total weight of the smaller packages?
Answer:
The total weight of the smaller packages is 84 lb
Equivalent ratio word problems (basic)
Ingredient
Amount
Graham crackers
2
Chocolate squares
8
Marshmallows
3
How many s'mores can Kora make if she has 20 graham crackers?
Repo
Stuck? Watch a video or use a hint.
The heights of American men aged 18 to 24 are approximately Normally distributed with a mean of 68 inches and a standard deviation of 2.5 inches. Only about 5% of young men have heights outside the range
(Hope that helps (= The given says the height distribution is normally distributed with the mean height equal to 68 inches. In this case, the bell-shaped curve has a vertical symmetry at 68 inches. This means, half of the mean exceeds 68 inches while the other half has height below 68 inches.
The height range out of which only 5% of the young American men (from age 18 to 24) lie is [63.35, 72.65] (in inches)
How to get the z scores?If we've got a normal distribution, then we can convert it to standard normal distribution and its values will give us the z score.
If we have
[tex]X \sim N(\mu, \sigma)[/tex]
(X is following normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex] )
then it can be converted to standard normal distribution as
[tex]Z = \dfrac{X - \mu}{\sigma}, \\\\Z \sim N(0,1)[/tex]
(Know the fact that in continuous distribution, probability of a single point is 0, so we can write
[tex]P(Z \leq z) = P(Z < z) )[/tex]
Also, know that if we look for Z = z in z tables, the p value we get is
[tex]P(Z \leq z) = \rm p \: value[/tex]
For this case, let we take:
X = height of American men from age 18 to 24[a,b] = range of height (the values of X) outside which there lies only 5% of American men.Then, according to the given data, we have:
[tex]X \sim N(\mu = 68, \sigma = 2.5)[/tex]
where [tex]\mu[/tex] is mean value of X and [tex]\sigma[/tex] is standard deviation of X (both in inches).
Also, we can write:
[tex]P(X < a) + P(X > b) = 5\% = 0.05[/tex]
Since normal distribution is symmetric about its mean, we can take a and b equidistant from the mean, so as to get a symmetric range which makes much more sense than taking an asymmetric range which doesn't comply with the nature of values of X.
Thus, we have:
[tex]\mu - a = b - \mu\\b = 2\mu - a[/tex]
From this result and [tex]P(X < a) + P(X > b) = 5\% = 0.05[/tex], we get:
[tex]P(X < a) + P(X > 2\mu -a) = 0.05[/tex]
Converting X to Z(the standard normal distribution), we get;
[tex]Z = \dfrac{X - \mu}{\sigma}[/tex]
[tex]P(X < a) + P(X > 2\mu -a) = 0.05\\\\P(Z < z = \dfrac{x-\mu}{\sigma} = \dfrac{a-68}{2.5}) + P(Z > \dfrac{2(68) - a - 68}{2.5}) = 0.05\\\\P(Z < \dfrac{a-68}{2.5}) + P(Z > \dfrac{68-a}{2.5}) = 0.05\\\\P(Z < \dfrac{a-68}{2.5}) + P(Z > -\dfrac{a-68}{2.5}) = 0.05\\\\P(Z < \dfrac{a-68}{2.5}) + P(Z \leq \dfrac{a-68}{2.5}) = 0.05 \: \: \: \: (\because P(Z > -k) = P(Z \leq k))\\\\2P(Z < \dfrac{a-68}{2.5}) = 0.05\\\\P(Z < \dfrac{a-68}{2.5}) = 0.025[/tex]
Using the z-tables, we get the value of Z for which p-value is 0.025 as
-1.96
Thus, we get:
[tex]\dfrac{a-68}{2.5} = -1.96\\\\a = 68 + (-1.96 \times 2.5)\\a = 63.35[/tex]
Thus, we get: [tex]b = 2\mu - a = 2(68) - 63.35 = 72.65[/tex]
Thus, the range is [a,b] = [63.35, 72.65]
Thus, the height range out of which only 5% of the young American men (from age 18 to 24) lie is [63.35, 72.65] (in inches)
Learn more about standard normal distribution here:
https://brainly.com/question/10984889
Vera ordered a soup, salad, and sandwich to share with her friends. The probabilities of each item being ready first are as follows: \text{P(Soup ready first}) = \dfrac15P(Soup ready first)= 5 1 start text, P, left parenthesis, S, o, u, p, space, r, e, a, d, y, space, f, i, r, s, t, end text, right parenthesis, equals, start fraction, 1, divided by, 5, end fraction \text{P(Salad ready first}) = 0.45P(Salad ready first)=0.45start text, P, left parenthesis, S, a, l, a, d, space, r, e, a, d, y, space, f, i, r, s, t, end text, right parenthesis, equals, 0, point, 45 \text{P(Sandwich ready first}) = 35\%P(Sandwich ready first)=35%
Photons of red light have a wavelength of approximately $7\times 10^{-7}$ meters. The energy of a photon is inversely proportional to its wavelength. A photon with 2000 times the energy as a photon of red light will have a wavelength that can be written as $a\cdot 10^b$ meters, where $1\le a < 10$. (In other words, in scientific notation.) What is $a+b$ written as a decimal?
Answer:2.97 ×10 − 19 J
When you flip a biased coin the probability of getting a tail is 0.46.
Find the probability of getting a head.
Answer:
54%
Step-by-step explanation:
Getting a head or a tail are two mutually exclusive events. Thus, given that probability of getting a tail is 0.46, the probability of getting a head is 0.54.
What are mutually exclusive events?Two events are mutually exclusive or disjoint if they cannot both occur at the same time.
P(getting a head) + P(getting a tail) = 1
(Getting a head and getting a tail are mutually exclusive events. This implies that when we toss a coin, we either get a head or a tail.)
P(getting a head) + 0.46 = 1
P(getting a head) = 1 - 0.46 = 0.54
Learn more about mutually exclusive events here
https://brainly.com/question/5492865
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HELPPP 16 POINTS. It was estimated that 325 people would attend game night, but 315 people actually attended.
What is the percent error, to the nearest percent, of the estimate? Enter the answer in the box.
Answer:
3%
Step-by-step explanation: 315/325 as a percent would be 96.92%. After finding that, we would do 100 - 96.92, yielding 3.08, 3.08 to the nearest percent would result in 3%
Answer:
the answer to the nearest percent is 3%
How do you calculate the x-intercept of a line written in Standard Form?
Due in 3 minutes please help
Answer:
1847 - 24% decrease
1848 - 68.42% increase
Hope this helps.
Your answer should be a polynomial in standard form. ( d^2 +3) (d^2 +2d +1)
Answer:d^4+2d^3+4d^2+6d+3
Step-by-step explanation:
need help!! 40 points !!
The triangles shown below must be congruent.
Answer:
The question asks if they must be congruent, so the answer is false
Step-by-step explanation:
All the angles are equal
47 = 47
62=62
71=71
The side between the 62 and 71 equals 7 on the left, we are not given the side between the 62 and the 71 on the right so we do not know if the triangles are congruent. We need to have one of the sides be equal for the triangles to be congruent.
The question asks if they must be congruent, so the answer is false
Answer:
FALSE
Step-by-step explanation:
ap3x
The solution of 12x+12=8x is?
Answer:
x = - 3
Step-by-step explanation:
Solve by isolating x on one side of the equation.
12x+12=8x
-12 -12
12x=8x-12
-8x
4x=-12
4x/4=-12/4
x = - 3
Given: Triangle ABC is right isosceles. X is the
midpoint of AC. AB = BC
Prove: Triangle AXB is isosceles.
Answer:
Step-by-step explanation:
From the figure attached,
Point X is the midpoint of line AC.
Since coordinates of the midpoint of the segment joining endpoints [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] is given by,
[tex](\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})[/tex]
Therefore, coordinates of the point X will be,
= [tex](\frac{0+2a}{2},\frac{2a+0}{2})[/tex]
= (a, a)
From triangle AXB,
Length of AB = 2a
Length of AX = [tex]\sqrt{(a-0)^2+(a-2a)^2}[/tex]
= [tex]a\sqrt{2}[/tex]
Length of BX = [tex]\sqrt{(a-0)^2+(a-0)^2}[/tex]
= [tex]a\sqrt{2}[/tex]
Length of AX = BX = [tex]a\sqrt{2}[/tex]
Therefore, triangle AXB is an isosceles triangle.
only 1 question!
Please help I’ll mark brainliest!!!
Answer:
Wouldn’t y be 4 and x be 1?
Answer:
Y = -1X + 5
Step-by-step explanation:
I just solved it, it was a long problem, I don't wanna talk you through it. I think I'm correct.
Hope this helps! Let me know!
The exact same experiment was conducted 16 times. How many times
should the results have been similar for them to be valid?
A. 8
B. 10
C. 7
D. 16
the town of sharon hill is a perfect squre with an area of 9 squares miles the length of each side of town measure how long ?
Answer:
2.25
Step-by-step explanation:
Since its a perfect square and you know the area, all you have to do it divide 9 by 4
two in 1 more points
Answer:
Your photo wont show up
Step-by-step explanation:
Answer:
Hello
1. B. 2.35 * 10^11
2. A. 3 * 10^-2
Look at the triangle show on the right. The Pythagorean Theorem states that the sum of the squares of the legs of a right triangle is equal to the square of the hypotenuse. Margaret uses this theorem to simplify and rewrite the expression (b/r)^2 + (a/r)^2 using the triangle shown. Which trigonometric identity can she prove with her expression? *
Answer:
[tex]cos^2\theta + sin^2\theta = 1[/tex]
Step-by-step explanation:
Given
[tex](\frac{b}{r})^2 + (\frac{a}{r})^2[/tex]
Required
Use the expression to prove a trigonometry identity
The given expression is not complete until it is written as:
[tex](\frac{b}{r})^2 + (\frac{a}{r})^2 = (\frac{r}{r})^2[/tex]
Going by the Pythagoras theorem, we can assume the following.
a = Oppositeb = Adjacentr = HypothenuseSo, we have:
[tex]Sin\theta = \frac{a}{r}[/tex]
[tex]Cos\theta = \frac{b}{r}[/tex]
Having said that:
The expression can be further simplified as:
[tex](\frac{b}{r})^2 + (\frac{a}{r})^2 = 1[/tex]
Substitute values for sin and cos
[tex](\frac{b}{r})^2 + (\frac{a}{r})^2 = 1[/tex] becomes
[tex]cos^2\theta + sin^2\theta = 1[/tex]