Solve the following problems. It may be helpful to set up an equation. The sum of two numbers is 13, the difference is 4. What are the numbers? pls help

Answers

Answer 1

Answer:

y = 4 1/2

x = 8 1/2

Step-by-step explanation:

x + y = 13

x - y = 4

substitution method:  let x = 4+y

4+y + y = 13

2y = 9

y = 4 1/2

x = 8 1/2


Related Questions

HIiiiiiiiiiiiiiiiiiiiiiiiii

Answers

Answer:

hi the answer is 7.3

Step-by-step explanation:

hope it helps you have a good day

What are the coordinates for the vertex of the parabola represented by the quadratic equation
y=1/2(x + 4)^2 – 2?

Answers

Answer:

(-4, -2).

Step-by-step explanation:

Compare y = (1/2)(x + 4)^2 – 2 to the standard equation:

                y =    a(x - h)^2 + k       whose vertex is at (h, k).  

We see that h = -4 and k = -2.  Thus, the vertex of the vertex of the given parabola are (-4, -2).

The manager of a fleet of automobiles is testing two brands of radial tires and assigns one tire of each brand at random to the two rear wheels of eight cars and runs the cars until the tires wear out. The data (in kilometers) follow. Find a 99% confidence interval on the difference in the mean life.
Car Brand 1 Brand 2
1 36663 33866
2 43509 41829
3 36240 35500
4 32100 31950
5 37210 38015
6 48360 47800
7 38200 37810
8 33500 33215
a) Calculate SD =
b) Calculate a 99% two-sided confidence interval on the difference in mean life.
c) Which brand would you prefer? (brand 1/ no difference /brand 2)_____

Answers

Answer:

a) σ  =  4933,64

b) CI 99%  = ( - 5746  ;  7194 )

c) No difference in brands

Step-by-step explanation:

Brand 1:

n₁   =  8

x₁   = 38222

s₁   = 4974

Brand 2:

n₂  = 8

x₂  = 37498

s₂  = 4893

As n₁  =  n₂  = 8       Small sample  we work with t -student table

degree of freedom      df  = n₁  +  n₂  - 2    df = 8 +8 -2  df = 14

CI = 99 %   CI  =  0,99

From  t-student table we find   t(c)  = 2,624

CI  =   (  x₁  -  x₂ ) ±  t(c) * √σ²/n₁   +  σ²/n₂

σ² = [( n₁  -  1 ) *s₁² +  ( n₂  -  1  ) * s₂² ] / n₁ +n₂ -2

σ² = 7* (4974)² + 7*( 4893)² / 14

σ² = 24340783       σ  =  4933,64

√ σ²/n₁  +  σ²/n₂     =  √ 24340783/8   +  24340783/8

√ σ²/n₁  +  σ²/n₂     =  2466

CI 99%  =  (  x₁  -  x₂ ) ± 2,624* 2466

CI 99%  =   724  ± 6470

CI 99%  = ( - 5746  ;  7194 )

As we can see CI 99% contains 0 and that means that there is not statistical difference between mean life of the two groups

GIVING OUT BRAINLIEST ANSWER !! PLS HELP ME OUT !! (last minute)

Answers

Answer:

.7880

Step-by-step explanation:

Answer:

pretty sure it's 0.7880 !!! good luck, this stuff is super tough :(

Step-by-step explanation:


Find the volume. Round to the nearest tenth if necessary.

Answers

Answer:

120

Step-by-step explanation:

Since you have to find volume you have to multiply all the numbers.

So, 4*5*6 = 120

Answer:

120cm2

Step-by-step explanation:

Volume= length times width times the height. So.. 6×5×4= 120cm2 (btw the 2 means squared)

Find sin 0
15
A.
B.
c. 15
D.

Answers

The answer is D, good luck ;)

The scores of individual students on the ACT Exam are modeled as normally distributed with a mean of19.6 and a standard deviation of 5.0. At Voldemort High, 64 seniors take the test. Assume the individualscores at this school are modeled using the same distribution as national scores. What is the samplingdistribution of the sample average score for this random sample of 64 students

Answers

Answer:

The sampling distribution of the sample average score for this random sample of 64 students is approximately normal, with mean 19.6 and standard deviation 0.625.

Step-by-step explanation:

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.

Mean of 19.6 and a standard deviation of 5.0.

This means that [tex]\mu = 19.6, \sigma = 5[/tex]

What is the sampling distribution of the sample average score for this random sample of 64 students?

By the Central Limit Thoerem, the sampling distribution of the sample average score for this random sample of 64 students is approximately normal, with mean 19.6 and standard deviation [tex]s = \frac{5}{\sqrt{64}} = \frac{5}{8} = 0.625[/tex]

How many odd numbers are in 10 to 50?

Answers

Answer:

20

Step-by-step explanation:

11,13,15,17,19,21,23,25,27,29,31,33,35,37,39,41,43,45,47,49

Verify the conclusion of Green's Theorem by evaluating both sides of the equation for the field F= -2yi+2xj. Take the domains of integration in each case to be the disk. R: x^2+y^2 < a^2 and its bounding circle C.

Answers

Answer:

hello your question is incomplete below is the complete question

verify the conclusion of Green's Theorem by evaluating both sides of the equation for the field F= -2yi+2xj. Take the domains of integration in each case to be the disk. R: x^2+y^2 < a^2 and its bounding circle C: r(acost)i+(asint)j, 0<t<2pi. the flux is ?? the circulation is ??

answer :  attached below

Step-by-step explanation:

Attached below is the required verification of the conclusion of Green's Theorem

In the attached solution I have  proven that Green's theorem ( ∫∫c F.Dr ) .

i.e. ∫∫ F.Dr = ∫∫r ( dq/dt - dp/dy ) dx dy = 4πa^2

               


1. One of the acute angles of a right triangle is 28°, the other acute angle is?

Answers

Answer:

no idea

Step-by-step explanation:

cuz I don't

Abigail ordered a 32 oz steak that cost $60.
(cost to weight)

Answers

$1.9 I’m pretty sure

If you do 1.9 times 32 you get 60 plus 8 cents

Or it can be 1.8 times 32 which is 57

(a) For real applications, the normal distribution has two potential drawbacks: (1) it can be negative, and (2) it isn’t symmetric. Choose some continuous random numeric outcomes of interest to you. Are either potential drawbacks really drawbacks for your random outcomes? If so, which is the more serious drawbacks and why?

(b) Many basketball players and fans believe strongly in the “hot hand.” That is, they believe that players tend to shoot in streaks, either makes or misses. If this is the case, why does the binomial distribution not apply, at least not exactly, to the number of makes in a given number of shots? Which assumption of the binomial model is violated, the independence of successive shots, or the constant probability of success on each shot? Or can you tell? Explain your reasoning.

(c) Your company needs to make an important decision that involves large monetary consequences. You have listed all of the possible outcomes and the monetary payoffs and costs from all outcomes and all potential decisions. You want to use the EMV criterion, but you realize that this requires probabilities and you see no way to find the required probabilities. What can you do?

(d) If your company makes a particular decision in the face of uncertainty, you estimate that it will either gain $10,000, gain $1000, or lose $5000, with probabilities 0.40, 0.30, and 0.30, respectively. You (correctly) calculate the EMV as $2800. However, you distrust the use of this EMV for decision-making purposes. After all, you reason that you will never receive $2800, you will receive $10,000, $1000, or lose $5000. Discuss this reasoning.

(e) In the previous question, suppose you have the option of receiving a check for $2700 instead of making the risky decision described. Would you make the risky decision, where you could lose $5000, or would you take the sure $2700? What would influence your decision?

(f) A potentially huge hurricane is forming in the Caribbean, and there is some chance that it might make a direct hit on Hilton Head Island, South Carolina, where you are in charge of emergency preparedness. You have made plans for evacuating everyone from the island, but duh n evacuation is obviously costly and upsetting for all involved, so the decision to evacuate shouldn’t be made lightly. Discuss how you make such a decision. Is EMV a relevant concept in this situation? How would you evaluate the consequences of uncertain outcomes?

(g) You often hear about the trade-off between risk and reward. Is this trade-off part of the decision making under uncertainty when the decision-maker uses the EMV criterion? For example, how does this work in investment decisions?

(h) Under what conditions would you prefer a simple exponential smoothing model to the moving averages method for forecasting a time series? Explain your reasoning!

Answers

hello all today's people are in the class of all the dues and then you will be able and send your friends and family members from your side of your home and get it right

A lab technician is tested for her consistency by making multiple measurements of the cholesterol level in one blood sample. The target precision is a standard deviation of 1.1 mg/dL or less. If 20 measurements are taken and the standard deviation is 1.6 mg/dL, is there enough evidence to support the claim that her standard deviation is greater than the target, at α = 0.01?

Answers

Answer:

We Do not have enough evidence

Step-by-step explanation:

H0 : σ² ≤ 1.1

H0 : σ² > 1.1

The test statistic (X²) :

χ² = [(n - 1) × s²] ÷ σ²

n = sample size, = 20

s² = 1.6

σ² = 1.1

α = 0.01

χ² = (19 * 1.6) / 1.1

χ² = 27.64

Pvalue :

Using the Pvalue from Chisquare score calculator ; χ² = 27.64 ; df = 19

Pvalue = 0.091

If Pvalue < α ; Reject H0

0.091 > 0.01

Hence, Pvalue > α ; Thus we fail to reject H0.

We thus conclude that, we do not have enough evidence to support the claim that her standard deviation is greater than the target.

Help please and thanks <33

Answers

Answer:

The 4th one (bottom)

Step-by-step explanation:

[tex]\frac{2}{3}x - 5 > 3\\\frac{2}{3}x > 3 + 5\\\frac{2}{3}x > 8\\x > 8 / \frac{2}{3} \\x > 12\\[/tex]

> sign means an open circle over 12, shaded/pointing to the right. The 4th option is your answer

what is the smallest subset of the number -8,546,999 belong to

Answers

Answer:

its 4

Step-by-step explanation:

Quadrilateral K is the image of Quadrilateral K under a dilation

Answers

What is the question
I’m confused

What is m ZPQR?
R
(x + 3)
(3x + 5)
S.
Р

Answers

Answer:

3 x 2 − 2 x -5

Step-by-step explanation:

An isosceles triangle has an angle that measures 116°. Which other angles could be in that isosceles triangle? Choose all that apply.

Answers

Answer:

Step-by-step explanation:

since we know that triangles have 180° we know that 116° is two much if it's doubled  2*116 = 232° so that angle has to be the single angle and the left over of 180 - 116  is the left over amount that is even divided into the last two angles so   180 - 116 = 64 / 2 = 32°  so the triangle is made up of  116 + 32 + 32 degree angles

please help ..................

Answers

Answer:

xxyy2578

Step-by-step explanation:

Somebody help me with the question

Answers

Answer is 3
Step by step exploration

(MATH) (6) ((PHOTO))
label is m​

Answers

Multiply the length by the height:

6.5 x 2 = 13

The width is the volume divided by 13

Width = 52/13 = 4 m

Ethan purchased a new cell phone for $75.00. The costs of the phone is included in his first month's bill. His cell phone plan charges $0.06 for each minute used.

if Ethan has $90.00 to spend on his first month's bill, what is the maximum number of minutes he can use?

A. 80 minutes
B. 250 minutes
C. 1,250 minutes
D. 1,500 minutes​

Answers

Answer:1,250

Step-by-step explanation:

A piecewise function is given.

Find f(-4)

Answers

Answer:

3

Step-by-step explanation:

For x<=0, f is constant: f(x) =3

-4<0, so f(-4)=3

A store pays $35 for a fish tank. The markup is 20%. What is the selling price?

Answers

The selling price is $42

When graphed on a coordinate plane Beth’s house is located at (4, 3) and the coffee shop is located at the point (–2, –1).
What is the distance from Beth’s house to the coffee shop? Each grid line on the coordinate plane represents 1 mile.
10 miles
square root of 8
square root of 52
52 miles

Answers

Answer:

the answer is c square root 52

Step-by-step explanation:

just got a 100

The distance from Beth’s house to the coffee shop, which are graphed on a coordinate plane is √(52) units.

What is a distance formula?

The distance formula is used to measure the distance between the two points on a coordinate plane.

Let the two coordinate  point on a coordinate plane is ([tex]x_1,y_1[/tex]) and ([tex]x_2,y_2[/tex]). Thus, the distance between these two can be given as,

[tex]d=\sqrt{(x_1-x_2)^2+(y_1-y_2)^2}[/tex]

When graphed on a coordinate plane Beth’s house is located at (4, 3) and the coffee shop is located at the point (–2, –1).

Here, each grid line on the coordinate plane represents 1 mile.

Using the distance formula for these point, the distance from Beth’s house to the coffee shop can be given as,

[tex]d=\sqrt{(4-(-2)^2)+(3-(-1))^2}\\d=\sqrt{6)^2+(4)^2}\\d=\sqrt{36+16}\\d=\sqrt{52}[/tex]

Hence, the distance from Beth’s house to the coffee shop, which are graphed on a coordinate plane is √(52) units.

Learn more about the distance formula here;

https://brainly.com/question/661229

what is the slope of the line.

Answers

Answer:

1 ..................or 1/1

Answer:

-1 is the slope

..................

The function g(x) is a transformation of the quadratic parent function, f(x)
What function is g(x)?

Answers

Answer:

Option A.

Step-by-step explanation:

The parent function is the quadratic function, that is:

[tex]f(x) = x^2[/tex]

Function g:

The function g is the function f concave down, that is, -f.

Also, for the parent function, we have that y = 1 when x = 1. On the function g, otherwise, we have that when x = 1, y = -1/3. So:

[tex]g(x) = -\frac{1}{3}f(x) = -\frac{1}{3}x^2[/tex]

The correct answer is given by option A.

-3x^2


just did it and it’s correct. Your welcome <3

HELP ASP!!!! PLS?!!!!! #15

Answers

Answer:

you need the farmula lol lol lol lol lol lol lol

Step-by-step explanation:

What is the value of d/dx sin (2x-Pi/3) at x= Pi

Answers

Answer:

1/2 at x=pi

Step-by-step explanation:

d/dx sin(x) = cos(x)

Therefore:

d/dx sin(2pi-pi/3) = cos(5pi/3) = 1/2

find the area of this trapezoid. Include the correct unit in your answer.
I need help understanding this and how to do it :)​

Answers

Answer:

[tex] \displaystyle A _{ \text{trapezoid}} = 70 {m}^{2} [/tex]

Step-by-step explanation:

we are given a trapezoid

we want to figure out the area

remember that,

[tex] \displaystyle A _{ \text{trapezoid}} = \frac{a + b}{2} h[/tex]

where a and b represent the parallel lines and h represents the height

we get from the pic that a and b are 5 and 15 respectively and h is 7

so substitute:

[tex] \displaystyle A _{ \text{trapezoid}} = \frac{5 + 15}{2} \times 7[/tex]

simplify addition:

[tex] \displaystyle A _{ \text{trapezoid}} = \frac{20}{2} \times 7[/tex]

simplify division:

[tex] \displaystyle A _{ \text{trapezoid}} = 10\times 7[/tex]

simplify multiplication:

[tex] \displaystyle A _{ \text{trapezoid}} = 70[/tex]

since we multiply two same units we of course have to use square unit

hence,

[tex] \displaystyle A _{ \text{trapezoid}} = 70 {m}^{2} [/tex]

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