Diego and Luke weigh a combined 95 pounds. If Diego weighs 1.5 times as much as Luke does, how much does Luke weigh, in
pounds?

Answers

Answer 1

Answer:

38 pound

STEP  BY STEP


Related Questions

If 43x-2=4 x+1, then x

Answers

Answer:

Step-by-step explanation:

Picture has the answer, not a bad picture I promise.

Step-by-step explanation:

43x-4x=1+2

39x/39=3/39

x=0.076

With double-digit annual percentage increases in the cost of health insurance, more and more workers are likely to lack health insurance coverage (USA Today, January 23, 2004). The following sample data provide a comparison of workers with and without health insurance coverage for small, medium, and large companies. For the purposes of this study, small companies are companies that have fewer than 100 employees. Medium companies have 100 to 999 employees, and large companies have 1000 or more employees. Sample data are reported for 50 employees of small companies, 75 employees of medium companies, and 100 employees of large companies.
Health Insurance
Size of Company Yes No Total
Small 33 17 50
Medium 68 7 75
Large 88 12 100
Conduct a test of independence to determine whether employee health insurance coverage is independent of the size of the company. Use = .05.
1. Compute the value of the 2 test statistic (to 2 decimals).
2. The p value is :_____.
a. less than .005
b. between .005 and .01
c. between .01 and .025
d. between .025 and .05
e. between .05 and .10
f. greater than .10
3. What is your conclusion?
a. health insurance coverage is not independent of the size of the company
b. Cannot reject the assumption that health insurance coverage and size of the company are independent
4. The USA Today article indicated employees of small companies are more likely to lack health insurance coverage. Calculate the percentages of employees without health insurance based on company size (to the nearest whole number).
Small %
Medium %
Large %

Answers

Answer:

1.  χ² =  15.3902

2. The p value is :_____.a. less than .005

3.  Conclusion

a. health insurance coverage is not independent of the size of the company

4. The percentages of employees

Small %=   33/50= 0.66

Medium %= 68/75 = 0.91

Large %= 88/100= 0.88

Step-by-step explanation:

1) We set up our null and alternative hypothesis as

H0: the employee health insurance coverage is independent of the size of the company

against the claim

Ha: the employee health insurance coverage is not independent of the size of the company

2) the significance level alpha is set at 0.05

3) the test statistic under H0 is

χ²= ∑ (O - E)²/ E where O is the observed and E is the expected frequency

which has an approximate chi square distribution with ( 3-1) (2-1)=  2 d.f

4) Computations:

Under H0 , the observed frequencies are :

Observed       Expected E        (O-E)         (O-E)²             (O-E)²/E

33                   42                      -9               81                    1.928  

68                  63                         5              25                  0.3968

88                  84                         4               16                  0.1904

17                    8                           9              81                  10.125

7                     12                          -5             21                    1.75

12                    16                         -4              16                     1              

                                                                                          15.3902    

Expected Values are calculated using the formula :

Row Total * Column Total / sample size

E1= (33+17) (33+ 68+88)/ 50+75+100= 42

E4= (33+17) (17+ 7+ 12)/ 50+75+100=8

E2= (68+7) (33+ 68+88)/ 50+75+100= 63

E5= (68+7)  (17+ 7+ 12)/ 50+75+100= 12

E3= (88+12) (33+ 68+88)/ 50+75+100= 84

E6= (88+12)  (17+ 7+ 12)/ 50+75+100= 16

5) The critical region is χ² ≥ χ² (0.05)2 = 5.99

6) Conclusion:

The calculated χ² =  15.3902    falls in the critical region χ² ≥  5.99  so we reject the null hypothesis that the employee health insurance coverage is NOT independent of the size of the company.

2. The p value is :_____.

a. less than .005

The p-value is .000385.

3.  Conclusion

a. health insurance coverage is not independent of the size of the company

4. The percentages of employees

Small %=   33/50= 0.66

Medium %= 68/75 = 0.91

Large %= 88/100= 0.88

The area of each triangular face is 30 square feet true or false

Answers

Answer:

Step-by-step explanation:

true it is true true true

Seismologists use the Richter scale to express the energy, or magnitude, of an earthquake. The Richter magnitude of an earthquake, M, is related
energy released in ergs E shown by the formula
M
flog (10)
A recent earthquake in Peru registered a 4.0 on the Richter scale. How much energy in ergs was released by this earthquake?
(Enter you answer in terms of 10 and use Shift 6^ for exponents)
ergs

Answers

Answer:

10¹⁸ ergs

Step-by-step explanation:

From the question,

Using the expression

M = [tex]\frac{4}{5}[/tex]log(E/10¹³)................. Equation 1

Where M = Richter magnitude of earth quake, E = Energy released in ergs.

Given: M = 4.0

Substitute into equation 1 amd solve for E

4 = [tex]\frac{4}{5}[/tex]log(E/10¹³)

Log(E/10¹³) = (4×5)/4

Log(E/10¹³) = 5

E/10¹³ = 10⁵

E = 10⁵×10¹³

E = 10⁵⁺¹³

E = 10¹⁸ ergs

How do you solve 31.2 - 5.73

Answers

Step-by-step explanation:

hey the answer is 25.47 .....

Answer:

25.47

Step-by-step explanation:

subtract using long subtraction

Line up the decimal points and add 0's as placeholders

put 31.20 on top of 05.73

31.20

-05.73

work from right to left

The perimeter of the base of a right square pyramid is 32 cm. The height of the pyramid is 8 cm. What is the volume of the pyramid?

Answers

The formula is V = 0.5 X b X a X h.
Plug in numbers X is a multiplication sign

HS: Algebra 2A [M] (Prescriptive) (GP)/ 5 Quadratic Functions
2. Determine whether the function is linear or quadratic. Identify the quadratic, linear, and constant terms.
y=(x - 5)(5x+4)-5x?
linear function
linear term: 15x
constant term: -25
quadratic function
quadratic term: 5x?
linear term: 15x
constant term: -25
quadratic function
quadratic term: -5x?
linear term: -21%
constant term: -20
linear function
linear term: -21x
constant term: -20
Congratulations! You have shown o
completing one or more activities. I
unchack Hide excused activities

Answers

Answer:

Linear, the linear term is -21x and the constant term is -20. Last option is the answer

Step-by-step explanation:

We are given the following function:

[tex]y = (x - 5)(5x + 4) - 5x^2[/tex]

First we have to simplify y, before solving the question:

[tex]y = (x - 5)(5x + 4) - 5x[/tex]

Applying the distributive property:

[tex]y = 5x^2 + 4x - 25x - 20 - 5x^2[/tex]

[tex]y = 0x^2 - 21x - 20[/tex]

[tex]y = -21x - 20[/tex]

No quadratic term, so it is linear.

The linear term is -21x and the constant term is -20.

which description is paired with its correct expression

Answers

I need your descriptions and expressions to answer your question sorry

Answer:

The answer is C.

Step-by-step explanation:

8 The circle graph below shows the number of votes each candidate received in a recent student
council election.
Student Council Election
Votes Received
Jacob
60
Elias
25
Jade
40
What percentage of the votes did Jacob receive?
F 36%
G 44%
H 48%
J 60%

Answers

Answer:

60%

Step-by-step explanation:

Helpppppp plssssssss

Answers

Answer:

y^6

Step-by-step explanation:

Select two days on which mike ran a total of 6 5/6 miles.

Answers

Saturday and sunday.............

I think the first person is correct also next time add the options

4. What is the volume of the triangular pyramid?
10 in
6 in
8 in
Will Mark brainliest

Answers

Answer:

V=6240 in^3

Step-by-step explanation:

I am not sure what the base is but here is my guess:

V=13Ah

V=13(48)(10)

V=6240 in^3

Luna's dining room is 19 feet wide and 22 feet long. Luna wants to install wooden trim
around the top of the room. The trim costs $0.06 per foot. How much will it cost Luna to buy
enough trim?

Answers

9514 1404 393

Answer:

  $4.92

Step-by-step explanation:

The cost is found by multiplying the number of feet by the cost per foot. The number of feet is the perimeter of the dining room, the sum of the lengths of all the sides.

There are two sides of the rectangular room that are 19 feet, and two sides that are 22 feet, so the total length of trim is ...

  P = 2(L +W) = 2(22 ft + 19 ft) = 2(41 ft) = 82 ft

The cost is then ...

  cost = ($0.06/ft)(82 ft) = $4.92

It will cost Luna $4.92 to buy enough trim.

DO NOT PRANK!! I NEED HELP PLS (will give brainly)
Use the diagram below for this question. The angle bisectors of triangle ABC meet at G.
If m∠ ABC = (4x + 12) degrees and m∠ GBA = (3x – 4) degrees , find m∠ GBC.
A.26 degrees
B.44 degrees
C.52 degrees
D.36 degrees

Answers

Answer:

b

Step-by-step explanation:

hiiii

I had this same question on a test, I thought it was C and I ended up getting it wrong. It was between that and B and when I was doing the work they both fit so I would say your best choice is

B:44 Degrees

PLS HELP
RATIONAL EQUATION

Answers

Answer:

Decimal form

2.5,8

Mixed number form

2 1/2,8

Exact form

-5/2,8

A survey was conducted to investigate whether there is an association between a person's age and their thoughts on what a state senate should do about state parks. Participants selected from "leave state parks the way they are," "increase funding to state parks," or "completely overhaul state parks," and their age was categorized as under 30 years old, between 30 and 50 years old, and over 50 years old. The hypothesis test statistic was calculated to be 15.01. Which of the following is closest to the p- value of the test?
A. 0.0047
B. 0.0103
C. 0.0202
D. 09897
E. 0.9953

Answers

Answer:

E. 0.9953

Step-by-step explanation:

The computation of the p value is shown below:

According to the question

The participant choosen from 3 different state parks, r = 3

And there are 3 different age group, s = 3

So, degrees of freedom is

= (r-1) × (s-1)

= 2 × 2

= 4

And, the Test statistic is 15.01

Now

p-value = P(Chisq < 15.01 )

= 0.9953

In the chisquare table see the degree of freedom i.e. 4

Answer:

0.0047

Step-by-step explanation:

This is what college board says

The value 0.0047 is the probability that χ2 is greater than 15.01 in an χ2 distribution with (3−1)(3−1)=4 degrees of freedom.

Simplify, then write the answer in the standard form
(2x3 - X + 8) + (- X3 + x - 3)

Answers

Answer: x^3+5

Step-by-step explanation: You add the terms with similar exponents.

2x^3 + (-x^3) = x^3     -x+x = 0      8 + (-3) = 5

PLEASE HELP !! ILL GIVE BRAINLIEST *EXTRA 40 POINTS* DONT SKIP :(( .!

Answers

Answer:

angle 8 and 4

Step-by-step explanation:

it is shown by the picture I had just provided you

Answer:

A

Explination:

Hope this helps ^-^

Which ach represents the inequality < -1 + 2x?

Answers

Answer:

3rd one

Step-by-step explanation:

please anwser this thank you!!​

Answers

Step-by-step explanation:

v>29 or 29,infinity sign i used an app called and this is what it showed

<3<3<3<3<3<3<3<3<3<3<<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3

Answer:

v >_ 29

<3<3<3<3<3<3<3<3<3<3<<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3

which expression is equivalent to 6^4x6^3

Answers

Answer:

C - (6x6x6x6)(6x6x6)

Step-by-step explanation:

Please help me.... I didn't understand the question

Answers

19 squares are or shaded so it’s 19%

Answer:

19%

Step-by-step explanation:

the little squares are 100. the shaded squares are 19. So the answer is 19%

Help me please sjsjdjs it’s due in a few minutes

Answers

Answer:

The answer is the 3rd dot.

Step-by-step explanation:

hope this helps

Answer:

The one right below 8

Step-by-step explanation:

A game comes with a deck of cards with each card
showing one of the numbers 2, 3, 4, 5, 6, or 8. Each
card occurs one time in red, one time in purple, and
one time in blue. Given that a blue card is drawn, what
is the probability the card is a 4?
Select one:
4/9

1/18

1/3

1/6

Answers

Aasf;kbdaihhakufnsdo;fgaoudghosaugbolfbodbfaifjla;db;ihjlksabd;ohipn

Step-by-step explanation:

Answer:

k

Step-by-step explanation:

Find a value of k such that kx2 + 12x − 4 = 0 has one real-number solution. Explain.

Answers

Answer: if x is to the 2 power then

kx^2+12x-4=0         Add 4 to the both sides

kx^2+12x=4             Divide both sides by 12

kx^2=1/3x                square root the both sides

k=0.6x

Step-by-step explanation:

The answer is 0.6!

Explanation

LOOK AT THE PHOTO HELP ME PLEASE

Answers

Answer:

30°

Step-by-step explanation:

[tex] m\angle 2=m\angle 3[/tex]

(Alternate angles)

[tex] \because m\angle 3 =30\degree [/tex] (Given)

[tex] \therefore m\angle 2 =30\degree [/tex]

13/4 + c = 3/4 what’s c,?

Answers

Answer:

c = -2.5

Step-by-step explanation:

13/4 + c =3/4

2.5 + c = 0

c=-2.5

Find the area of a square with apothem of 10m.

Answers

Answer:

[tex]Area = 400m^2[/tex]

Step-by-step explanation:

Given

[tex]a = 10m[/tex] --- apothem

Required

The area of the square

The relationship between the apothem (a) and the length (L) of  1 side of a square is:

[tex]a = \frac{L}{2}[/tex]

Make L the subject

[tex]L = 2a[/tex]

Substitute [tex]a = 10m[/tex]

[tex]L = 2*10m[/tex]

[tex]L = 20m[/tex]

The area is then calculated as:

[tex]Area = L^2[/tex]

So:

[tex]Area = (20m)^2[/tex]

[tex]Area = 400m^2[/tex]

Is it monomial binomial or trinomial or non polynomial

Answers

Answer: Trinomial

Step-by-step explanation: The expression has 3 terms.

Help me plz! Thank you!

Answers

Answer:

the vertical line test proves that it is not a function because there are two y values for 1 x value

Step-by-step explanation:

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