What are the four answers?

Answer:  a + ( 2a - 7 ) = 41

Explanation:

Let be "a" the Nicci's age and "s" the Nicci's sister.

You know that the sum of Nicci's age and her sister's age is 41. This can be represented with the following equation:

a + 8 = 41

And knowing that Nicci's sister is 7 years less than twice Nicci's age, you can write another equation to represent this:

8 = 2a - 7

Now, substitute the second equation into the first equation in order to find the equation that represents this relationship.

Then, this is:

a + ( 2a - 7 ) = 41

Hope it helps...

Answer:

Step-by-step explanation:

B( 3, -3) given the figure

B' ( 3, 3) because the x-axis intersects the mid point between B and B'

A) (x, y) reflected across x-axis becomes ( x, -y)

B) (x, y) reflected across y-axis becomes ( -x, y)

Answer:

Hence,

a)

Test statistic [tex]X^{2}[/tex] = 9.269.  

p value = 0.148

b)

Sunday=  15.23%, Monday= 12.62%, Tuesday= 13.10%, Wednesday=11.67%,

Thursday= 13.10%, Friday= 16.19%, Saturday= 18.09%.

Step-by-step explanation:

a)

                    relative observed    Expected       Chi square

Category   frequency(p)      [tex]O_{i}[/tex]    Ei=total*p    [tex](O-E)^{2}[/tex] [tex]R^{2}_{i} =(O_{i} -E_{i} )^{2} /E_{i}[/tex]

     1           0.142857143      64.0         60.00    16.00          0.267

    2           0.142857143      53.0       60.00     49.00         0.817

    3           0.142857143      55.0         60.00     25.00        0.417

    4           0.142857143      49.0       60.00     121.00        2.017

    5           0.142857143      55.0         60.00     25.00        0.417

    6           0.142857143      68.0         60.00     64.00        1.067

    7           0.142857143      76.0         60.00    256.00        4.267

  Total         1.000      420        420             556       9.269

Test statistic [tex]X^{2}[/tex] = 9.269.  

p value = 0.148 from excel: chidist(9.269,6)  

b)

Percentage %= Frequency of traffic occur on category x 100 / Total number of frequency given.

Category          Percentage%

Sunday                   15.23%

Monday                    12.62%

Tuesday                   13.10%

Wednesday           11.67%

Thursday           13.10%

Friday                   16.19%

Saturday                   18.09%

Answer:

She has 90.96 miles of the trail to hike.

Step-by-step explanation:

Length of the trail:

The length of the trail is of 113.7 miles.

On the first day she hiked of 1/10 the distance of the trail.

Thus:

[tex]\frac{1}{10(113.7) = 11.37[/tex]

On the first day she hiked 11.37 miles.

On the second day she hiked the same distance as the first day.

Also 11.37 miles on the second day, and thus, 2*11.37 = 22.74 miles on the first two days.

How much of the trail does she have left to hike?

113.7 - 22.74 = 90.96

She has 90.96 miles of the trail to hike.

Answer:

nnmb cgchmfxmgfmv vb  ,  mnio qrstuvwxyz

abcdefghijklmnoprstuvxxyz

Step-by-step explanation:

now i know my abcs next time wont you sing with me

Answer:

-3

Step-by-step explanation:

Answer: Yes

Step-by-step explanation:

Answer:

6111 km/hr

Step-by-step explanation:

Given

Distance travels by plane d=22,000 km

time taken t=3.6 hours

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

Answer: 24 years

Step-by-step explanation:

Based on the information given, we've been given,

Principal = #250

Interest = #120

Interest rate = 2%

Time = Unknown

Interest = PRT/100

120 = (250 × 2 × Time)

Cross multiply

120 × 100 = (250 × 2 × T)

12000 = 500T

Time = 12000/500

Time = 24

It will take 24 years.

Answer:

[tex]A * B = \left[\begin{array}{ccc}10&-6\\8&5\\19&-10\end{array}\right][/tex]

Step-by-step explanation:

Given

[tex]A =\left[\begin{array}{cc}2&-2\\3&4\\4&-3\end{array}\right][/tex]

[tex]B = \left[\begin{array}{cc}4&-1\\-1&2\end{array}\right][/tex]

Required

[tex]AB[/tex]

To do this, we simply multiply the rows of A by the column of B;

So, we have:

[tex]A * B = \left[\begin{array}{ccc}2*4 + -2*-1&2*-1+-2*2\\3*4+4*-1&3*-1+4*2\\4*4-3*-1&4*-1-3*2\end{array}\right][/tex]

[tex]A * B = \left[\begin{array}{ccc}10&-6\\8&5\\19&-10\end{array}\right][/tex]

Answer:

A= ~2.55

Step-by-step explanation:

Using Pemdos, or gemdos, you can find you do the exponent first

4^2 = 16

then to everything else in left to right order since they're all multiplication or division

22/7 = ~3.14 * 13 = ~40.86/16 = ~2.55

(I'm using "~" to mean about/rounded to)

The study conducted in the scenario above is an experimental study because the subjects were given treatment.

Observational study involves monitoring the relationship between variables through observation without giving any treatment during the course of the study.

Experimental study on the other hand involves the introduction of a treatment or intervention in other to study the cause and effect or relationship between the variables.

In the scenario above, the research intends to demonstrate the effectiveness of a treatment(magnets) for back pain. The presence of a treatment in this research study makes it an experimental study.

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Answer:

1/6 + 2/6 + 3/6 = 6/6 = 1

1/7 + 2/7 + 4/7 = 7/7 = 1

1/8 + 2/8 + 3/8 = 6/8 = 0.75

1/9 + 2/9 + 3/9 = 6/9 = 2/3 = 0.66  (repeater dot above first 6)

1/10 + 2/10 + 3/10 = 6/10 = 3/5 = 0.6

1/12 + 2/12 + 3/12 = 6/12 = 1/2 = 0.5

All numerators in consecutive form 1, 2, 3 adds up to 6

Where 7/7 as a numerator is easier to work with than 6/7 as 6/7 does not leave a whole number as easy as 7/7 does leave whole number = 1.

We notice just 8 and 9 does not leave to 1 decimal point when adding the first consecutive numerators of that whole.

Where 10.and 12 does leave to 1dp as these numbers are not prime numbers like co prime numbers 7 and 11.

Step-by-step explanation:

The value of the money including inflation after 6 years will be $6510.64.

The rate at which prices grow over a specific time period is known as inflation. Inflation is often measured in broad terms, such as the general rise in prices or the rise in a nation's cost of living. But it may also be computed more precisely for some products, like food, or for services, like a haircut, for instance. In any situation, inflation refers to how much more costly the pertinent collection of products and/or services has grown over a predetermined time frame, most frequently a year.

Given that, Inflation is running at 1.1% per year when you deposit $5,000 in an account earning 4.4% compounded continuously.

deposit amount (P) = $ 5000

Rate (r) = 4.4 %

Time (t) = 6 years

Compound continuously

Amount (A)= 5000 e⁰°⁰⁴⁴ˣ ⁶

A = $ 6,510.64098

A = $ 6510.64

Total accumulated money after 6 years = $ 6,510.64

value of money decreases due to inflation

The real value of money after n years with the rate of inflation i = 1.1%

yₙ = A( 1 / (1+i) )ⁿ

y₆ = 6510.64 (1 / ( 1 + 0.011))⁶

y₆ = 6,097.008

Real value of money = $ 6,097.01

Therefore, after 6 years real value of the money including inflation will be $ 6,097.01.

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Answer:

the answer to this question is 36.86989°

Answer:

About 34% of the weights are between 3280 grams and 3720 grams.

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Mean of 3500 grams, standard deviation of 500 grams.

This means that [tex]\mu = 3500, \sigma = 500[/tex]

About 34% of the weights are between what two values?

Between the 50 - (34/2) = 33rd percentile and the 50 + (34/2) = 67th percentile.

33rd percentile:

X when Z has a p-value of 0.33, so X when Z = -0.44.

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]-0.44 = \frac{X - 3500}{500}[/tex]

[tex]X - 3500 = -0.44*500[/tex]

[tex]X = 3280[/tex]

67th percentile:

X when Z has a p-value of 0.67, so X when Z = 0.44.

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]0.44 = \frac{X - 3500}{500}[/tex]

[tex]X - 3500 = 0.44*500[/tex]

[tex]X = 3720[/tex]

About 34% of the weights are between 3280 grams and 3720 grams.

Answer:

Limit=0

Converges

Absolutely converges

Step-by-step explanation:

If [tex]a_n=\frac{2^n n!}{(3n+4)!}[/tex]

then [tex]a_{n+1}=\frac{2^{n+1} (n+1)!}{(3(n+1)+4)!}[/tex].

Let's rewrite [tex]a__{n+1}[/tex] a little.

I'm going to hone in on (3(n+1)+4)! for a bit.

Distribute: (3n+3+4)!

Combine like terms (3n+7)!

I know when I have to find the limit of that ratio I'm going to have to rewrite this a little more so I'm going to do that here. Notice the factor (3n+4)! in [tex]a_n[/tex]. Some of the factors of this factor will cancel with some if the factors of (3n+7)!

(3n+7)! can be rewritten as (3n+7)×(3n+6)×(3n+5)×(3n+4)!

Let's go ahead and put our ratio together.

[tex]a_{n+1}×\frac{1}{a_n}[/tex]

The second factor in this just means reciprocal of [tex]{a_n}[/tex].

Insert substitutions:

[tex]\frac{2^{n+1} (n+1)!}{(3(n+1)+4)!}×\frac{(3n+4)!}{2^nn!}[/tex]

Use the rewrite for (3(n+1)+4)!:

[tex]\frac{2^{n+1} (n+1)!}{(3n+7)(3n+6)(3n+5)(3n+4)!}×\frac{(3n+4)!}{2^nn!}[/tex]

Let's go ahead and cancel the (3n+4)!:

[tex]\frac{2^{n+1} (n+1)!}{(3n+7)(3n+6)(3n+5)}×\frac{1}{2^nn!}[/tex]

Use 2^(n+1)=2^n × 2 with goal to cancel the 2^n factor on top and bottom:

[tex]\frac{2^{n}2(n+1)!}{(3n+7)(3n+6)(3n+5)}×\frac{1}{2^nn!}[/tex]

[tex]\frac{2(n+1)!}{(3n+7)(3n+6)(3n+5)}×\frac{1}{n!}[/tex]

Use (n+1)!=(n+1)×n! with goal to cancel the n! factor on top and bottom:

[tex]\frac{2(n+1)×n!}{(3n+7)(3n+6)(3n+5)}×\frac{1}{n!}[/tex]

[tex]\frac{2(n+1)}{(3n+7)(3n+6)(3n+5)}×\frac{1}{1}[/tex]

Now since n approaches infinity and the degree of top=1 and the degree of bottom is 3 and 1<3, the limit approaches 0.

This means it absolutely converges and therefore converges.

Answer: 56 - 42

Step-by-step explanation: She gave 2 to EACH of her 21 students. So 2 * 21 = 42. 56 - 42

Work Shown:

cos(angle) = adjacent/hypotenuse

cos(64) = x/28

x/28 = cos(64)

x = 28*cos(64)

x = 12.2743921100941

x = 12.27

Answer:

f(x) = x/8

Step-by-step explanation:

f(x) = y

y = 8x

switch the x and y

x = 8y

solve for y

Answer:

Uuuzu7ggijjrudidjdiwisiwiwieie

Answer:

√-2 ≈ 1.41i

Step-by-step explanation:

√-2 = i√2 = i × 1.414.. ≈ 1.41i

Answer:

53 degrees

Step-by-step explanation:

tan(theta)=8/6,

theta= [tex]tan^{-1} (\frac{8}{6} )=53.13 degree[/tex]

Answer: 2 days

Step-by-step explanation:

M   D   W

4    3   12

6    2   12

Answer:

7+½ = (7*2+(1))/2=15/2

Step-by-step explanation:

2+½ =5/2 and. (15/2)/(5/2)=3. this means %33.3333

Answer:

2

Step-by-step explanation:

Value = 80

Mean = 70

Variance = 25

Standard deviation=root(Variance)=root(25)=5

z score = (value - mean)/standard deviation

            = (80-70)/5

            = 10/5

            = 2

z-score using mean 70 and variance 25 is 2

Given :

A final statistics exam had a mean of 70 and a variance of 25

First we find out standard deviation using variance

standard deviation =[tex]\sqrt{variance} =\sqrt{25} =5[/tex]

Now we find out z-score

[tex]z-score =\frac{value - mean}{standard \; deviation }[/tex]

value =80

mean=70 and standard deviation =5

substitute all the values

[tex]z-score = \frac{80-70}{5} =2[/tex]

So, his z-score using mean and variance is 2

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Answer:

B. How many total customers were at the story today?

Step-by-step explanation:

Option 'B' is not a statistical question because there is not more than one answer.

There is only one answer to this question.

Option 'A,' 'C,' and 'D' are statistical questions because there is more than one answer.

What amounts did each person at the store spend on their purchase?

This question has more than one answer.

How long did each customer spend shopping at the store?

What are the heights of each customer who entered the store?

These questions have more than one answer as well.

Statistical questions are questions that have more than one answer. This means you can collect data.

I, therefore, believe that option 'B' is not a statistical question.

Answer:

6x50=300

Step-by-step explanation:

because math

Answer:

6*50

HOPE THIS HELPS

- Todo ❤️

Step-by-step explanation:

6*5=30*10=300

Answer:

It's C, they both cancel each other out