Casey said that 40 people were surveyed. Is his answer reasonable?

Answers

Answer 1

Answer: If 40 people were surveyed then it is reasonable

Answer 2

Answer: It depends on your population size, and if your sample is biased. If your sample was 40 out of 100, then yes, it would be reasonable. But if your sample was 40 out of 1000, then no because the sample is too small.

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Simplify. [6.6 ÷ (–5 + 3)] • (–1)

Solve each questions by taking square roots1.k²=76
2.k²=16
3.x²=21
4.a²=40
5.x²+8=28
6.2n²=-144
7.-6m²=-414
8.7x²=-21
9.m²+7=88
10.-5x²=-500
11.-7n²=-448
12.-2k²=-162
13.x²-5=73
14.16n²=49

Answers

$1.\ k^2=76\n\nk=\pm√(76)\n\nk=\pm√(4\cdot19)\n\nk=\pm2√(19)\n-------------\n2.\ k^2=16\n\nk=\pm√(16)\n\nk=\pm4\n-------------\n$
$3.\ x^2=21\n\nx=\pm√(21)\n-------------\n4.\ a^2=40\n\na=\pm√(40)\n\na=\pm√(4\cdot10)\n\na=\pm2√(10)\n-------------\n5.\ x^2+8=28\ \ \ /-8\n\nx^2=20\n\nx=\pm√(20)\n\nx=\pm√(4\cdot5)\n\nx=\pm2\sqrt5\n-------------\n$
$6.\ 2n^2=-144\ \ \ \ /:2\n\nn^2=-72-no\ real\ solutions\n-------------\n7.\ -6m^2=-414\ \ \ \ /:(-6)\n\nm^2=69\n\nm=\pm√(69)\n-------------\n8.\ 7x^2=-21\ \ \ \ /:(-7)\n\nx^2=-3-no\ real\ solutions\n-------------\n$
$9.\ m^2+7=88\ \ \ \ /-7\n\nm^2=88-7\n\nm^2=81\n\nm=\pm√(81)\n\nm=\pm9\n-------------\n10.\ -5x^2=-500\ \ \ \ /:(_5)\n\nx^2=100\n\nx=\pm√(100)\n\nx=\pm10\n-------------\n$
$11.\ -7n^2=-448\ \ \ \ /:(-7)\n\nn^2=64\n\nn=\pm√(64)\n\nn=\pm8\n-------------\n12.\ -2k^2=-162\ \ \ \ /:(-2)\n\nk^2=81\n\nk=\pm√(81)\n\nk=\pm9\n-------------\n$
$13.\ x^2-5=73\ \ \ \ /+5\n\nx^2=78\n\nx=\pm√(78)\n-------------\n14.\ 16n^2=49\ \ \ \ /:16\n\nn^2=(49)/(16)\n\nn=\pm\sqrt(49)/(16)\n\nn=\pm(√(49))/(√(16))\n\nn=\pm(7)/(4)$

Which ordered pair in the form (a, b) is a solution of this equation?3a – 4b = 21

A.
(–3, –2)

B.
(0, 7)

C.
(–2, –3)

D.
(7, 0)

Answers

3(7)-4(0)=21
3*7=21-0=21
the answer is D

substitute the first number in the ( ) for a and the second for b
3(-3)-4(-2)
-9+8 does not =21

B. 3(0)-4(7)
0-28 does not = 21

C. 3(-2)-4(-3)
-6+12 does not =21

D. 3(7)-4(0)= 21 yeah

answer is D (7,0)

hope this helps

Really really need help A six-sided number cube is rolled. Find the probability of rolling a 3 or a number greater than 4.

A.1/8
B.1/6
C.1/2
D.2/3

Answers

Well, there are 6 sides.

There are also 6 numbers: 1, 2, 3, 4, 5, 6

Okay, so the probability of rolling a 3 is 1/6 because that is just one number of the 6.

Okay, number greater than four are 5 and 6, and if you add 3 to that you get 3/6, or 3 out of 6 numbers.

If you simplify 3/6 you get 1/2.

Hope this helps!

There are 6 sides and numbers in the cube. (1,2,3,4,5,6)
Probability of rolling a 3 or a number greater than 4: there are 2 numbers greater than 4 (5 and 6) and one other number (3). In total, there are 3 numbers here.

So the probability of rolling 3 numbers out of 6 is 3/6, which can be simplified to 1/2.

The equation y = 55x + 85 describes the amount of money a plumber charges, where y is the total amount he charges and x is the number of hours he works. The table shows the total amount of money an electrician charges.How much does each charge per hour?

Number of hours worked 1 2 4 7
Total amount charged 115 180 310 505

the plummer charges $___ per hour
the electrician charges $___ per hour

Answers

If you would like to know how much does each charge per hour, you can calculate this using the following steps:

x ... the number of hours
a plumber: y = 55x + 85 = 55 * 1 + 85 = 55 + 85 = $140 per hour
an electrician: y = $115 per hour

The correct result would be: the plumber charges $140 per hour and the electrician charges $115 per hour.

Help number 5. It would mean a lot.

Answers

Hi there!

This gets pretty easy once you understand how to do these kinds of problems. Let's look at the words in the question.

Adison earned 25$. We can push that to the side.
She loaned her friend 18$, which means she took some money away from her first part of it.

25 - 18 = 7$. Now she has 7$ left. (A calculator would be useful to answer these!)

Now, let's put the 7 to the side and check out the rest of the equation. Looks like Adison's grandmother gave her 50 more dollars, and we know that more means to add.

50 + 7 = 57$.

Now, the final part of the question says she ended up with 86$ because she had money before she earned more. To see how much money she had originally, we can subtract 86 from 57.

86 - 57 = 29$.

We now understand that Adison originally had 29$ before earning anymore money.

Hope this helps!

Jari invests in a CD with an annual interest rate of 5.45% compounded quarterly. How many years will it take for Jari's investment to double. Round your answer 4 decimal places and include a label (written in lowercase)

Answers

It will take 12.8047 years for Jari's investment to double

Step-by-step explanation:

The formula for compound interest, including principal sum is

$A=P(1+(r)/(n))^(nt)$ , where:

A is the future value of the investment/loan, including interest
P is the principal investment amount (the initial deposit or loan amount)
r is the annual interest rate (decimal)
n is the number of times that interest is compounded per unit t
t is the time the money is invested or borrowed for

Jari invests in a CD with an annual interest rate of 5.45% compounded quarterly. We need to find how many years it will take for Jari's investment to double.

∵ The annual interest rate is 5.45%

∴ r = 5.45% = 5.45 ÷ 100 = 0.0545

∵ The interest rate is compounded quarterly

∴ n = 4

∵ The Jari's investment is doubled in t years

∴ A = 2P

- Substitute these values in the rule above

∵ $2P=P(1+(0.0545)/(4))^(4t)$