The surface area of a figure is 62cm^2 if the dimensions are multiplied by 5

Answer:

i think its B

Step-by-step explanation:

i think itd most accurate t b

Answer:

22years

Step-by-step explanation:

The sum of ages of people in the room is 40 * 5= 200

[ Remember mean = total ahead of people/ number of people]

Let the age of the 6th person be X

200+x. / 6 = 37

200 + x = 37 * 6 = 222

x = 222- 200 = 22

Answer:

m<10 = 92°

m<5 = 106° (I think because of correspondence)

m<8 =92°

m<14 = 74°

m<3 = 106°

<1 and <4 are corresponding angles

<2 and <3 are same side interior angles

<3 and <4 are vertical angles

<4 a d <6 are Alt. Interior Angles

Answer:

8 • (5x - 1)

Step-by-step explanation:

Step  1  :  See below

Step  2  : See below

Pulling out like terms/ factors

8x - 4  =   4 • (2x - 1)

Equation at the end of step  2  :

20 • (2x - 1) +  12

Step  3  :  See below

Step  4  : See below

Pull out like factors:

40x - 8  =   8 • (5x - 1)

Answer:  8 • (5x - 1)

Hope this helps.

Answer:

the correct answer for 9 is A) N 3-

Step-by-step explanation:

Answer:

Square feet of Carpeting : 136 ft^2

Step-by-step explanation:

Let us divide this figure into two shapes, each being rectangles;

Considering the first, smaller shape, with a given dimension of 7 feet we can see that the second dimensions is 13 - 9, ⇒ 4 feet

The Area of this part would thus be ⇒ 7 * 4 = 28 ft^2

Now this second figure is provided with dimensions 12 by 9 feet, so that the  area would, by definition ⇒ length * width = 12 * 9 ⇒ 108 ft^2. The total area of this figure is, by Partition Postulate : 108 + 28 ⇒ 136 square feet

If Sara plans to carpet the room, clearly the carpeting's area should be equivalent to that of the area of the room. This would mean;

Square feet of Carpeting : 136 ft^2

Answer:

Step-by-step explanation:

The hypotheses are:

Null Hypothesis

[tex]H_0 : \muafter = 0[/tex]

Alternative Hypothesis

[tex]Ha: \mu\neq 0[/tex]

Since the t-statistic score is greater than the critical t-score, so the decision is to reject the null hypothesis.

See image for detailed solution

Answer:

Step-by-step explanation:

Corresponding test scores of students before and after they completed a formal logic course.

The data for the test are the differences between the test scores.

μd = the​ score before minus score after

Score before score after diff

74 73 1

83 77 6

75 70 5

88 77 11

84 74 10

63 67 - 4

93 95 - 2

84 83 1

91 84 7

77 75 2

Sample mean, xd

= (1 + 6 + 5 + 11 + 10 - 4 - 2 + 1 + 7 + 2)/10 = 3.7

xd = 3.7

Standard deviation = √(summation(x - mean)²/n

n = 10

Summation(x - mean)² = (1 - 3.7)^2 + (6 - 3.7)^2 + (5 - 3.7)^2+ (11 - 3.7)^2 + (10 - 3.7)^2 + (- 4 - 3.7)^2 + (-2 - 3.7)^2 + (1 - 3.7)^2 + (7 - 3.7)^2 + (2 - 3.7)^2 = 220.1

Standard deviation = √(220.1/10

sd = 4.69

For the null hypothesis

H0: μd ≥ 0

For the alternative hypothesis

H1: μd < 0

The distribution is a students t. Therefore, degree of freedom, df = n - 1 = 10 - 1 = 9

The formula for determining the test statistic is

t = (xd - μd)/(sd/√n)

t = (3.7 - 0)/(4.69/√10)

t = 2.49

The test is a left tailed test. From the t distribution table, the t score corresponding to the significance level is 2.262

In order to reject the null hypothesis, the test statistic must be smaller than - 2.262 or greater than 2.262

Since - 2.49 < - 2.262 and 2.49 > 2.262, we would reject the null hypothesis.

Therefore, at 5% significance level, we can conclude that for the test scores before and after, the mean difference is lesser than zero

The options to the questions are:

A.  Taking on a job can cut into study time

B.  Paying with credit cards can end up conting more money

C.  Paying with additional loans can lead to connections and opportunities

D.  Taking on a job can make connections that lead to opportunities

Answer:

C.  Paying with additional loans can lead to connections and opportunities

Step-by-step explanation:

When faced with needing additional money during college, an individual may chose to take on job so to get extra money to finance his or her needs. However, such venture often leads to redcution in study time, as working on jobs will also needs it own time of execution.

Also, paying for financial needs during college days with credit card can lead to counting more money on the card. This implies that one can accumulate credit card rewards which can be in form of cashback, or points from certain purchases when using credit card.

More so, taking a job during college days, will definitely brings connections with different people, and thereby leads to opportunities.

However, paying with additional loans will never lead to connections and opportunities, but rather more debt, that the debtor will have to pay, which may take months or years. And it can only be a burden on the debtor.

Hence, when faced with needing additional money during college the option that is NOT true is Paying with additional loans can lead to connections and opportunities

Answer:

Correct answers are Marci's monthly payment: $227.30, and total finance charge: $455.20.

Step-by-step explanation:

24 months (2 years)

$45.46 x 5 = $227.30

$227.30 x 24 = $5,455.20

$5,455.20 - $5,000 = $455.20

Answer:

Simple interest = $600

Step-by-step explanation:

In this word problem, we will need to find the simple interest.

Formula:

I = prt or I = p x r x t

Simple interest: final answer

I = (2,000)(.02)(15) multiply.

I = 600

Simple interest: $600

Step-by-step explanation:

diameter = 2 * radius

= 2 * 44

= 88 cm (ANS)

Answer:

The diameter will be 88cm (Not a guess :P)

Step-by-step explanation:

So since we know that the radius is half the diameter we simply multiply 44*2 to get 88 as our diameter

Not hard, right? :P

Hope this helped! :)

Brainiest is most appreciated if possible

Sorry for any mistake that I made in advance

Answer:

5n+20

Step-by-step explanation:

5(n+4)

Distribute

5*n+5*4

5n+20

Answer:

B

Step-by-step explanation:

A function has at most one y value for every x value. This means that for every vertical line, there can be at most one intersection.

This example clearly doesn't satisfy this requirement.

Answer:

86.5 m

Step-by-step explanation:

Length of the string forms the hypotenuse AC of right angle triangle ABC.

C is the kite. A is the hand of the person (or, one end of the string).  CB is the perpendicular (height of the kite ) from C on the ground.  BC is the horizontal.

Sin 60° = CB/AC = √3/2

                height = 1.73/2 * AC = 0.865 * 100 m = 86.5 m

Answer:

(3,5)

Step-by-step explanation:

in order to reflect over an axis, you put a negative in front of the opposite axis's coordinate.

in this case, you reflect over the y axis so you put a negative in front of the x coordinate. (--3,5) two negatives make a positive so you get (3,5)

If your'e going to ask a question here, you might as well just use a coordinate plane

If my answer helps, please give me brainliest, it helps a lot

Answer:

(3,5)

Step-by-step explanation:

Answer:

10 meters because it can't be 1 or 10 cenemiters because that's way too short and 1 meter i ls only 12 inches so thats also too short so it has to be 10 meters

Answer:

[tex]z=\frac{0.191 -0.2}{\sqrt{\frac{0.2(1-0.2)}{6967}}}=-1.878[/tex]  

Now we can find the p value using the alternative hypothesis and with the following probability:

[tex]p_v =P(z<-1.878)=0.0302[/tex]  

We see that the p value is higher than the significance level of 0.01 so then we FAIL to reject the null hypothesis and there is NOT enough evidence to conclude that the return rate is less than​ 20% at 1% of significance

Step-by-step explanation:

Information given

n=6967 represent the random sample selected

X=1331 represent the surveys returned

[tex]\hat p=\frac{1331}{6967}=0.192[/tex] estimated proportion of return rate

tex]p_o=0.2[/tex] is the value to verify

[tex]\alpha=0.01[/tex] represent the significance level

z would represent the statistic

[tex]p_v[/tex] represent the p value

System of hypothesis

We test the claim that the return rate is less than​ 20%, then the system of hypothesis are:  

Null hypothesis:[tex]p\geq 0.2[/tex]  

Alternative hypothesis:[tex]p < 0.2[/tex]  

The statistic is given by:

[tex]z=\frac{\hat p -p_o}{\sqrt{\frac{p_o (1-p_o)}{n}}}[/tex] (1)  

Replacing the info given we got:

[tex]z=\frac{0.191 -0.2}{\sqrt{\frac{0.2(1-0.2)}{6967}}}=-1.878[/tex]  

Now we can find the p value using the alternative hypothesis and with the following probability:

[tex]p_v =P(z<-1.878)=0.0302[/tex]  

We see that the p value is higher than the significance level of 0.01 so then we FAIL to reject the null hypothesis and there is NOT enough evidence to conclude that the return rate is less than​ 20% at 1% of significance

Answer:

1. P(all are correct) =0.00000256

2. P ( all are incorrect) =  0.1677

3. P( at least one correct ) = 0.8310

c. P(r ≥ 1) = 0.8322

d. P ( half the questions are incorrect) = 0.046

Step-by-step explanation:

Let A be the event that he will choose the correct answer and there is only one correct answer out of 5 choices  so the probability of A = P(A)= 1/5

As there are 8 number of questions so n= 8

Applying the binomial theorem

P(all are correct) = ⁸C₈ (1/5)⁸ (4/5)°= 1* 1/5*5*5*5*5*5*5*5 (1)

a. P(all are correct) = 1/625 *625= 1/390625= 0.00000256

b. P ( all are incorrect) =  ⁸C₀ (1/5)° (4/5)⁸= 1* 4*4*4*4*4*4*4*4/5*5*5*5*5*5*5*5 (1)=  256*256/625 *625= 65336/390625 = 0.1677

c. P( at least one correct ) = P (one Correct) + P( 2 Correct) + P (3 correct) + P( 4 correct) + P ( 5 correct) + P ( 6  correct) + P ( 7  correct) + P ( 8  correct)

P( at least one correct ) = 0.00008192+  0.00114688+ 0.00917504 + 0.0458752 + 0.14680064 + 0.29360 +  0.335544 +0.00000256

P( at least one correct ) = 0.8310

P (one Correct) = ⁸C₇ (1/5)⁷ (4/5)= 8* 1/5*5*5*5*5*5*5  * 4/5 = 0.00008192

P( 2 Correct) = ⁸C₆ (1/5)⁶ (4/5)²= 28 * 1/5*5*5*5*5*5*  16/25=  0.00114688

P (3 correct)=⁸C5₅ (1/5)⁵ (4/5) ³= 56* 1/5*5*5*5*5*   64/125 = 0.00917504

P( 4 correct) = ⁸C₄(1/5)⁴ (4/5)⁴= 70* 1/5*5*5*5    * 256/625 = 0.0458752

P ( 5 correct) = ⁸C₃ (1/5)³ (4/5)⁵= 56 * 1/5*5*5    *1024/ 3125 = 0.14680064

P ( 6  correct)= ⁸C₂ (1/5)² (4/5) ⁶= 28* 1/5*5    * 4096 /15625= 0.29360

P ( 7  correct) = ⁸C₁ (1/5) (4/5)⁷=  8* 1/5   * 16384/78125 = 0.335544

P(r ≥ 1) = 1 − P(r = 0).

               =1- 0.1 677 = 0.8322

d. P ( half the questions are incorrect) =⁸C₄ (1/5)⁴ (4/5)⁴

= 70 * 1*1*1*1/ 5*5*5*5* 4*4*4*4/5*5*5*5 =  70 * 1/ 625* 256/625 = 0.0458= 0.046

Answer:

B. Brand B

Step-by-step explanation:

[tex]\left|\begin{array}{cccc}$Brand&$Total Sold&$Returns&$Probability of Returns\\---&---&---&---\\$Brand A&343&17&\dfrac{17}{343}=0.0496 \\\\$Brand B&180&14&\dfrac{14}{180}=0.0778 \\\\$Brand C&383&16&\dfrac{16}{383}=0.0418\\\\$Brand D&246&8&\dfrac{8}{246}=0.0325\\&&&\end{array}\right|[/tex]

We can see from the table above that the experimental probability of returns of Brand B is the highest, therefore it has the highest likelihood of being returned.

The store should consider eliminating Brand B.

Answer:

Step-by-step explanation:

Answer:

D = 22 yards

Step-by-step explanation:

D = C ÷ π

D = 69.1 ÷ 3.14

D = 22.006

D = 22 yards

Answer:

$104.27 is the amount at 3% and $20895.73  is the amount at 4.4%

Step-by-step explanation:

We are given that Josie owes $21000 in student loans.

Let x be principal at 3% rate of interest

Time = 1 year

Formula:[tex]A=P(1+r)^t[/tex]

[tex]A=x(1+0.03)^1[/tex]

A=1.03x

Interest = Amount - Principal

Interest = 1.03x-x=0.03x

So, (21000-x) is the principal at 4.4% rate of interest

Formula:[tex]A=P(1+r)^t[/tex]

[tex]A=(21000-x)(1+\frac{4.4}{100})^1[/tex]

A=21924-1.044x

Interest = 21924-1.044x-21000-x=924-2.044x

The total interest she owes for one year was $714.00

So, 0.03x+924-2.044x=714

x=104.27

So, $104.27 is the amount at 3%

The principal at 4.4% rate of interest =21000-x=21000-104.27=20895.73

Hence $104.27 is the amount at 3% and $20895.73  is the amount at 4.4%

Answer:

48/70 or24/35

Step-by-step explanation:

9/7-6/10 u find the LCD or lowest common denominator. 90/70-42/70=48/70=24/35

Answer:

24/35

Step-by-step explanation:

9/7 - 6/10

Simplify 6/10 by dividing the top and bottom by 2

9/7 - 3/5

The common denominator is 7*5 = 35

9/7 * 5/5    - 3/5 *7/7

45/35 - 21/35

24/35

Answer:

Correct option A: 0.6874

Step-by-step explanation:

Hello!

To calculate the area within the interval [-1.23; 0.83], you have to subtract to the probability accumulated till the lower value to the probability accumulated to the higher value, symbolically:

P(Z≤0.83)-P(Z≤-1.23)

You have to use the Z table to look for the corresponding values of probability. The negative value is in the left entry and the positive value is in the right entry. The first column shows the integer and first decimal value, the second decimal value is in the first row, you cross both values and find the value of probability.

P(Z≤0.83)-P(Z≤-1.23)= 0.7967 - 0.1093= 0.6874

I hope it helps!

Answer:

99cm²

Step-by-step explanation:

Area of a Triangle: [tex]A=\frac{1}{2} bh[/tex]

B- base

H- height

We are given a base of 18 cm and a height of 11cm.

[tex]A=\frac{1}{2} 18*11\\\\A=\frac{1}{2} 198\\\\\boxed{A=99}[/tex]

The area of the triangle should be 99cm².

Answer:

105/13 = x ; 64/13 = y

Step-by-step explanation:

12x + 2 = y + 94  --> 24x + 4 = 2y + 188

11x + 12 = 2y + 91 -->

13x - 8 = 97 -->

13x = 105 -->

105/13 = x -->

64/13 = y

Answer:

A.

Step-by-step explanation:

In the attached file

Answer:

  If the integer is in the range 1–15, then the weather could be declared rainy

Step-by-step explanation:

Assuming the integers are uniformly distributed 15 of them will constitute 30% of the possible integer. If the integer is in the range 1–15, then the weather could be declared rainy. That would make the probability of rain 30%, as required.

Answer:

A). Using dependent samples with paired data is generally better than using two independent samples.

Explanation:

Observational studies is the research/study design in which the investigator observes the samples collected from the population in their natural pattern to make valid inferences without any kind of manipulation or interference. While the experimental studies involves a controlled or manipulated variable in order to check its impact over the independent variable and the relation between the two.

As per the question, the design principle that is emphasized for both the studies would be 'employing dependent samples along with the paired data is usually effective than employing two independent samples' as the former concerns one set of elements that makes them 'self-evident'(as the subjects of one sample can be employed to determine the subjects of other). Thus, option A is the correct answer.

Answer:

a) (1,3)

b) x=1

Step-by-step explanation:

The general form of a parabola in vertex form is f(x)=a(x-h)^2+k, where h is the x coordinate of the vertex, and k is the y coordinate, while a indicates how "squished" the graph is, or how quickly it grows in relation to the parent graph. In this case, h is shown to be 1, and k is 3, meaning that the vertex is at (1,3). The axis of symmetry , for a vertical parabola, just runs vertically through the vertex, meaning that in this case it is at x=1. Hope this helps!

Answer:

(1,3) and y-axis

Step-by-step explanation:

The vertex is the value of x at maximum or minimum point

At maximum point

dy/ dx = 0;

dy/dx = 4(x-1)= 0

=>x= 1 and is the vertex

Y when x = 1; we substitute x=1 in the original equation.

f(x) =y =2(x-1)^2+3

y = 2(1-1)^2 +3

y = 0 + 3= 3

The vertex is (1,3)

2.

A symmetrical equation is given by

b^2 = 4ac

Looking at the equation above x has an order of 2 meaning a possibility of cutting the x axis on two values of x

Hence the axis of symmetry is the y-axis

Assuming this was the expression; the axis of rotation would have been the x-axis.

f(y)=2(y-1)^2+3