Need help on this one problem plz!​

Answer:

(11.242 ; 12.958)

Step-by-step explanation:

The confidence interval is obtained using the relation :

C. I = xbar ± Zcritical * s/√n

Given that ::

xbar = 12.1 ;

Standard deviation, s = 16.6

n = 1012

C. I = 12.1 ± 1.645 * (16.6/√1012)

C.I = 12.1 ± 0.8583881

C. I = 11.242 ; 12.958

Solve for the number of days \(d\) such that

\(3\cdot2^d = 1500\)

\(\implies 2^d = 500\)

\(\implies \log_2(2^d) = \log_2(500)\)

\(\implies d = \log_2(500) \approx \boxed{8.96578}\)

Answer:is 1

identity property of 0 the definition is adding 0 to any number results in the number itself. and one 1 is have the same but other 3 is not.

Answer:

Both, Diana and Paul are correct. The change in the temputare is 3.9 f. The new 12pm temperature is 3(-0.5) = 2.5 F. which is on the opposite side of  OAS the GAM temputare -1.4.

Answer:

They are both correct and the change of the temperature is -1.4

Answer:

See below

Step-by-step explanation:

20.  15 miles per hour   and  1320 feet per minute

330 feet per 15 seconds.  Use conversions to find feet per minute then miles per hour.

330 ft           60 sec

----------  x  ---------------  =  

15 sec           1 min

330 x 60 / 15  or  19800/15  is  1320 ft/min

Since you now know 330ft/sec is the same as 1320 ft/min, convert that to miles per hour.

1320 ft        60 min         1 mile            miles

-----------  x -------------  x  ---------------  = ----------------

min               1 hour         5280 ft          hour

1320 x 60 / 5280 = 15 miles/hour

21.  Convert all to miles per hour

cheetah

3080 ft      60 sec       60 min      1 mile

----------   x  ----------  x  ------------  x ------------  =  70 mph

30 sec        1 min         1 hour         5280 ft

elk

2970 ft     60 sec    60 min      1 mile

----------- x ----------- x ----------- x -----------  =  45 mph

45 sec       1 min       1 hour       5280 ft

lion

4400 ft     60 sec     60 min     1 mile

----------- x ------------ x ---------- x -----------    =  50 mph

60 sec      1 min          1 hour     5280 ft

quarter horse

6050 ft    60 sec      60 min       1 mile

----------- x ----------- x ------------- x -----------   =   55 mph

75 sec       1 min        1 hour        5280 ft

Cheetah has fastest rate of speed

Answer:

7

Step-by-step explanation:

32 servings mean two 16 servings. 3.5 times 2 is 7.

Answer:

32/16=2 so you have to multiply the entire recipe by 2.

so 3 1/2 x 2 = 7 cups of sugar

Answer:

55 yds squared

Step-by-step explanation:

Square = 20

Both rectangles = 35

Note/Disclaimer: My explanation may not help you understand, but I used the explanation area to place my notes down... I use mental math.

Answer: A

Step-by-step explanation:

The first thing we need to do is to make sure our equation is in standard form. The given equation is not in standard form.

3x²-2x=0

Now that the equation is in standard form, we can find our A, B, C to see which quadratic equation is correct.

A=3

B=-2

C=0

We can automatically eliminate D because the first value is -3 when it is supposed to be -(-2). Also, the denominator is supposed to be 2a. We know that A=3. The denominator should be 2(3), not 2(-2).

Next, we can eliminate B and C. For the 4ac, we know it has to be 4(3)(0) because A=3 and C=0. B and C have given 4(3)(2) and 4(3)(1), respectively. This does not match A=3 and C=0.

Therefore, A is the correct answer.

The final result of the integral is:

∫ (log(1 + x²) / (x + 1)²) dx = log(x + 1) - 2 (log(x + 1) / x) - 2Li(x) + C,

where Li(x) is the logarithmic integral function and C is the constant of integration.

We have,

To solve the integral ∫ (log(1 + x²) / (x + 1)²) dx, we can use the method of substitution.

Let's substitute u = x + 1, which implies du = dx. Making this substitution, the integral becomes:

∫ (log(1 + (u-1)²) / u²) du.

Expanding the numerator, we have:

∫ (log(1 + u² - 2u + 1) / u²) du

= ∫ (log(u² - 2u + 2) / u²) du.

Now, let's split the logarithm using the properties of logarithms:

∫ (log(u² - 2u + 2) - log(u²)) / u² du

= ∫ (log(u² - 2u + 2) / u²) du - ∫ (log(u²) / u²) du.

We can simplify the second integral:

∫ (log(u²) / u²) du = ∫ (2 log(u) / u²) du.

Using the power rule for integration, we can integrate both terms:

∫ (log(u² - 2u + 2) / u²) du = log(u² - 2u + 2) / u - 2 ∫ (log(u) / u³) du.

Now, let's focus on the second integral:

∫ (log(u) / u³) du.

This integral does not have a simple closed-form solution in terms of elementary functions.

It can be expressed in terms of a special function called the logarithmic integral, denoted as Li(x).

Therefore,

The final result of the integral is:

∫ (log(1 + x²) / (x + 1)²) dx = log(x + 1) - 2 (log(x + 1) / x) - 2Li(x) + C,

where Li(x) is the logarithmic integral function and C is the constant of integration.

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Answer:

Hmm graph 3, i think.

Step-by-step explanation:

Answer:

In geometric sequence you divide the terms. As I will show you the calculations step by step. Hopefully this becomes clear and helpful to you

Step-by-step explanation:

-2187÷6561

= -0.3333...

a8=a1 r^8-1

=(4374)(-0.3)^8-1

=(4374)(-0.3)^7

=(4374)(-4.572473708×10^-4)

=-2

Therefore a8= -2

Answer:

The circle's circumference is approximately 106.81 centimeters.

Explanation:

The formula for the circumference of a circle is C = 2πr, where C is the circumference, π is pi (approximately 3.14), and r is the radius of the circle.

So, for a circle with a radius of 17 centimeters, its circumference can be found by:

C = 2πr

C = 2 x 3.14 x 17

C ≈ 106.81 cm

Therefore, the circumference of the circle is approximately 106.81 centimeters.

Answer:

44

Step-by-step explanation:

Answer:

use the pythagorean theorem to solve for the sides and the degree for both triangles so your using cos sin or tan im not sure which one

Step-by-step explanation:

i really hope this helps the question is really vague im sorry if this wasnt a help

sin(θ) = Opposite / Hypotenuse

cos(θ) = Adjacent / Hypotenuse

tan(θ) = Opposite / Adjacent

Answer:

True

False

True

False

True

A statistical hypothesis test does test the researcher’s hypothesis.

In most research situations, the goal is to reject the null hypothesis, not to fail to reject it.

A decision to reject the null hypothesis means that the data do provide evidence of a treatment effect: the independent variable did have an effect on the dependent variable.

If the data do not provide convincing evidence that the treatment does have an effect, then the correct statistical decision is to fail to reject the null hypothesis, not to reject it.

For a hypothesis test, the critical region is defined as the set of test statistics that are very unlikely (very low probability) of being obtained if the null hypothesis is true.

Step-by-step explanation:

Answer:

104

Step-by-step explanation:

You would do this by diving 65 by 5, you get 13 then multiple that by 8.

Answer: $8.25

Step-by-step explanation: 33 divided by 4 (find unit rate)

Answer: $8.25

Step-by-step explanation:

Simply divide $33.00 by 4. 33/4 = 8.25

Answer:

I believe your answer is 10! :)

Answer:

Step-by-step explanation:

So, here are some examples: 56 is equivalent to 1012 because 5 x 12 = 6 x 10 = 60. 1518 is equivalent to 1012 because 15 x 12 = 18 x 10 = 180. 2024 is equivalent to 1012 because 20 x 12 = 24 x 10 = 240.

The teacher can thus use social sciences as a vehicle to develop mathematical skills by facilitating the development of skills such as data interpretation and analysis.

As an instructor, I would use social sciences to develop mathematical skills in the following manner:Consider a social science topic like demography. In this case, a teacher could use mathematics to assist students in interpreting population statistics.

Teachers might guide students to gather information about population size, growth rate, and geographical distribution from various countries and then use statistics to analyze the data.

For example, a teacher could give students graphs or charts to help them understand population growth rates. They can be asked to make comparisons and identify trends.

In this way, students' understanding of the population is improved, as is their mathematical reasoning.Aside from using mathematics to interpret population statistics,

the teacher can also incorporate mathematical skills development in social sciences by using methods that involve understanding and analysis of data. In other words, students learn how to use data to reach conclusions and make decisions.

They learn how to interpret data and how to extract information from it.This method of teaching creates opportunities for the use of the same skills in different contexts and areas of learning.

It enables students to see connections between subjects and fosters an integrated approach to learning.

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Answer:

60

x^3

Step-by-step explanation:

3x^-4 (8x + 12x)

apply exponential rule:

= 3 * 1/x^4 *(8x + 12x)

add similar elements

= 3 * 20 * (1/x^4) x

multiply fractions:

= 1 * 3 * 20x

        x^4

simplify:

= 60x

    x^4

finally = 60

             x^3

Collect like terms

3x^-4×(8x+12x)

=3x^-4 * 20x

=60x^-3

=60 * 1/x^3

\( \frac{60}{ x {}^{3} } \)

Answer:

hypothetically it would but I am not sure :(

Step-by-step explanation:

Answer:

$40

Step-by-step explanation:

400x0.10=40

Suppose :

2^x = t ..**&**.. 3^y = u

_____________________________

t + u = 9 × 3 3t + 3u = 27

=====》

2t - 3u = 8 2t - 3u = 8

+ __________

5t = 35

5 × t = 5 × 7

t = 7

&

u = 2

________________________________

Thus :

2^x = 7 ===》 x = Log _ 2 { 7 }

3^y = 2 ===》 y = Log _ 3 { 2 }

Answer:

54, 486, 154

Step-by-step explanation:

x+9x+100+x= 694

11x= 694-100

11x=594

x= 54

54×9=486

54+100= 154

54+486+154=694.