A simple random sample of eight high school students' ACT scores gave the following data: What is a point estimate for μ, the mean test score for the population? a. A point estimate cannot be computed since the data for the whole population are not available. b. 235 c. 29.38 d. 4.84

Answer:

$75.5

Step-by-step explanation:

The first step is to calculate the percentage decrease

= 100-18

= 82%

Therefore the original cost of the shirt before the discount can be calculated as follows

= 82/100 × x = 61.91

= 82x/100= 61.91

Cross multiply

82x= 100×61.91

82x= 6191

x = 6191/82

= 75.5

Hencd the original cost of the shirt is $75.5

Answer:

75.50

Step-by-step explanation:

Answer:

The null hypothesis should be [tex]H_0: \mu = 12[/tex]

The alternate hypothesis should be [tex]H_1: \mu \neq 12[/tex]

Step-by-step explanation:

You wondered if the sugar content in energy drinks is really the same as labeled in the products. The disclosure on Red Bull 12 oz.

At the null hypothesis, we test if the sugar content is the same labeled, that is:

[tex]H_0: \mu = 12[/tex]

At the alternate hypothesis, we test if the sugar context is different from the labeled, that is, different of 12.

[tex]H_1: \mu \neq 12[/tex]

Answer:

C=6.6666666666666666666666666

Answer:

[tex]D.\frac{2}{6}[/tex]

Step-by-step explanation:

√15 = 3.87298334621

11/25 = 11 ÷ 25 = 0.44

3/20 = 3 ÷ 20 = 0.15

2/6 = 2 ÷ 6 = 0.33333333333

Answer:

The confidence interval will be "41.04, 43.81".

Step-by-step explanation:

Given that,

Sample size,

n = 10

Sample total,

423.5

Sample mean,

[tex]\bar X =\frac{423.5}{10}[/tex]

   [tex]=42.35[/tex]

Sample variance,

[tex]s = \sqrt{4.5894}[/tex]

  [tex]=2.1423[/tex]

[tex]df=n-1[/tex]

   [tex]=9[/tex]

[tex]t^*=18331[/tex]

Now,

The margin of error will be:

⇒ [tex]E=\frac{s\times t^*}{\sqrt{n} }[/tex]

       [tex]=\frac{2.1423\times 1.8331}{\sqrt{9} }[/tex]

       [tex]=\frac{3.928}{3 }[/tex]

       [tex]=1.309[/tex]

hence,

The 90% confidence level will be:

= [tex](\bar X-E),(\bar X+E)[/tex]

By substituting the values, we get

= [tex](42.35-1.309),(42.35+1.309)[/tex]

= [tex](41.04),(43.81)[/tex]

Answer:

V=326.725636 or V=104[tex]\pi[/tex]

Step-by-step explanation:

V=[tex]\pi[/tex][tex]r^{2}[/tex]h

V=[tex]\pi[/tex][tex]2^{2}[/tex](26)

V=[tex]\pi[/tex]4(26)

V=326.725636

Answer:

Let's solve for x.

y=12x

Step 1: Flip the equation.

12x=y

Step 2: Divide both sides by 12.

12x /12 = y /12

x= 1 /12 y

Answer:  x= 1 /12 y

Step-by-step explanation: Hope this helps :D

Answer:

4x7

Step-by-step explanation:

4x7=28

4+4+4+4+4+4+4=28

--Answer--

4 x 7 = 28

4 + 4 = 8 <- x 3 + 4 = 28

or splitting it up in some way.

Answer:

40.84 to nearest hundredth.

Step-by-step explanation:

C = pi * d

= pi * 13

= 40.8407

Answer:  x - 4  without the absolute value bars surrounding it

=================================================

Explanation:

If x is larger than 4, then x-4 is positive. For example, if x = 5, then

x-4 = 5-4 = 1

So for cases when x > 4, the |x-4| and x-4 are the same identical expression. Try out more values of x to compare the two outputs. I recommend making a table with 3 columns. You'll have x in column 1, then |x-4| in column 2, and x-4 in column 3. You should find that the outputs for columns 2 and 3 are identical when x is larger than 4.

It's only when x < 4 is when |x-4| and x-4 differ. Instead we would say |x-4| = -(x-4). But we aren't focused on this case.

In short, when x > 4, we simply drop the absolute value bars to get the answer  x - 4

Answer:

1. a) $24, b) $36, c) $48

2. a) $18, b) $27, c) $36

3. a) $1.64, b) $2.46, c) $3.28

5. a) $30, b) $50, c) $70

6. a) $4.05, b) $6.75, c) $10.80

7. a) $14.85, b) $24.75, c) $39.60

Explanations:

Whatever we multiply the item by, we multiply the cost by. If we double the number of socks, we double the price. If we triple the number of socks, we triple the price.

1. a) 3 costs $12, and 3 x 2 = 6, so we do the same to the price: $12 x 2 = $24

b) 3 times 3 is 9, so 3 x 12 gives you that cost, $36

c) 3 x 4 = 12, so 12 x 4 = $48

2. a) 3 pairs is $9, and we need 6 pairs. 3 x 2 = 6, so we also multiply the price x 2 = $18

b) 3 x 3 = 9 pairs, multiply the cost times 3 as well. 9 x 3 = $27

c) 3 x 4 = 12, multiply the cost x 4. 9 x 4 = 36

3. 4 apples cost $0.82

a) 4 x 2 = 8 apples, $0.82 x 2 = $1.64

b) 4 x 3 = 12 apples, $0.82 x 3 = $2.46

c) 4 x 4 = 16 apples, $0.82 x 4 = $3.28

---------------------------------------------

The concept is the same for all the other questions as well. Please comment below if you need a different explanation to understand this. :)

Answer:

Step-by-step explanation:

5.

3x-1 = 4x+13

-1=x+13

12=x

3(12)-1

36-1

Answer: 35

Second 5.

I'm not completely sure what this is referring to (please tell me if there is another part for this because there isn't any numbers such as <1 shown on the picture.)

6.

90+40+x=180

130+x=180

50=x

Answer: 50

7.

x+71=90

x=19

Answer: 19

Answer:

the actual hourly percent increase is 6.823 %

Step-by-step explanation:

Given that data in the question;

rate chemical decomposes increasing continuously at 6.6 %,

r = 6.6% = 0.066

actual hourly percent increase = ?

Now,

hourly percent increase = ( [tex]e^r[/tex] - 1 ) × 100%

we substitute

hourly percent increase = ( [tex]e^{0.066[/tex] - 1 ) × 100%

hourly percent increase = ( 1.06823 - 1 ) × 100%

hourly percent increase = 0.06823 × 100%

hourly percent increase = 6.823 %

Therefore, the actual hourly percent increase is 6.823 %

Answer:

$23.25

Step-by-step explanation:

12+11.25

Answer:

candy bars = a

cupcakes = b

a=1.5$

b=2.25$

Step-by-step explanation:

candy bars = a

cupcakes = b

1)5a+2b = 12

2)3a + 3b = 11.25

We can understand

3a + 3b = 3(a+b)= 11.25

a+b = 11.25÷3 = 3.75

from No.2 equation.

than we do

(5a+2b) - 2(a+b)

and we got 3a

so

12 - 7.5 = 4.5 = 3a

a=1.5$

b=2.25$

Answer:

Step-by-step explanation:

(number of sides-2)*180 = (6-2)*180 = 720°

a= 720/6= 120°

lines form 180° angles

b= 180-120= 60°

sum of angles in a triangle is 180, and the angles are ≡

c=180/3 = 60°

c and d are supplementary angles (they add to 180)

d= 180-60 = 120°

d ≡ e+e because are vertical angles

e= 120/2 = 60°

sum of angles in a triangle is 180

f= 180 -90-60 = 30°

(number of sides-2)*180 = (5-2)*180 = 540°

g= 540/5= 108°

Answer: 3 were blue

Step-by-step explanation:

Blue  + Red  =   18....so.....

B  +  5B  =  18

6B  =  18

B   =18 /   6    =    3  blue

Answer:

The answer is B and BTW AMC STOCKS ARE RISING

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

Answer:

30 More minutes

Step-by-step explanation:

3/4 of an hour is 45

1/4 is 15

45-15 is 30

Answer:

1 hour

Step-by-step explanation:

Answer:

127

Step-by-step explanation: The total value of angles in a 6 sided figure is 720 degrees. The total value of the angles except x is 593 degrees. Subtract 593 from 720 to get your x which is 127.

Answer:

Step-by-step explanation112+133+128+100+120+x=720 x=720-593 x=127

Answer:

A

you fist have to gather your resources

Answer:

i guess D

because it is most important to understand the problem before going to any further step or conclusions.

Answer:

[tex]total = 26 + 4 = 30 \\ probability = \frac{4}{30} \\ = 0.13[/tex]

Hope This Helps!!!

Hope This Helps!!!Have a great day!!!

Answer:

H0 : the treatment has no effect

Step-by-step explanation:

The test is formulated as hypothesis . Here the test ist that whether the treatment has  affected or not . So the null hypothesis can be formulated as

H0 : the treatment has no effect

against the claim

Ha: the treatment has an effect.

The null hypothesis  is the test performed and the alternate hypothesis is the claim against the test. Therefore they are opposite of each other.

Step-by-step explanation:

Problem #1

alright, so it would be 7 1/4-6 3/8=7/8

we can check by adding:

6 3/8+7/8=7 1/4.

Problem #2

we can do the same for this one!

8 1/4-7 3/8=7/8

to check:

7/8+7 3/8=8 1/4

Answer:

Answer = A.)10

Step-by-step explanation:

The median for test A is 30 and the median for test B is 40. So you take the bigger number and subtract it by the smaller number to get the difference. 40-30 = 10

Answer: 5/13

Step-by-step explanation:

Answer:

437

Step-by-step explanation:

21850/100 * 2 = 437

Answer:

Step-by-step explanation:

2(x-2)=3x+3(2x+1)

2x-4=3x+6x+3

2x-4=9x+3

2x-9x=3+4

-7x=7

x=7/-7

x=-1