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3 years ago

Help!!!!!

Mathematics

1 answer:

Sonbull [250]3 years ago

5 0

Answer:

Number =108

Step-by-step explanation:

2((1/4x)-7)=(1/3x)+4

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Anyone who understand this for 16 point s plz

Zielflug [23.3K]

This is pretty open-ended. How about:

$\sqrt 2$ and $\sqrt 3$ are similar because they're both irrational, meaning neither is the ratio of two integers.

$\sqrt 2$ and $\sqrt 3$ are different because $\sqrt{2} < 1.5}$ and $\sqrt{3} > 1.5$ .

5 0

3 years ago

A researcher compares the effectiveness of two different instructional methods for teaching physiology. A sample of 178 students

xxTIMURxx [149]

Answer:

critical value = 1.645

The 90% confidence interval = ( -22.62, -17.58)

Step-by-step explanation:

Given that:

the sample size $n_1$ = 178

the sample size $n_2$ = 226

the sample mean $\overline x_1$ = 54.4

the sample mean $\overline x_2$ = 74.5

population standard deviation $\sigma_1$ = 18.58

population standard deviation $\sigma_2$ = 9.52

level of significance ∝ = 1 - 0.90 = 0.10

The critical value for $Z_{\alpha/2} = Z _{0.10/2} = Z_{0.005}$ is 1.645

For the construction of our confidence interval, we use 90% since that is used to find the critical value.

∴

The margin of error = $Z \times\sqrt{\dfrac{\sigma_1^2}{n_1} + \dfrac{\sigma_2^2}{n_2}}$

$1.645 \times\sqrt{\dfrac{18.58^2}{178} + \dfrac{9.52^2}{226}}$

$1.645 \times\sqrt{\dfrac{345.2164}{178} + \dfrac{90.6304}{226}}$

$1.645 \times\sqrt{2.34042}$

$\simeq$ 2.52

The lower limit = $( \overline x_1 - \overline x_2) - (M.O.E)$

= ( 54.4-74.5) - (2.52)

= -20.1 - 2.52

= -22.62

The upper limit = $( \overline x_1 - \overline x_2) + (M.O.E)$

= ( 54.4-74.5) + (2.52)

= -20.1 + 2.52

= -17.58

The 90% confidence interval = ( -22.62, -17.58)

6 0

3 years ago

What is the value of the fourth term in a geometric sequence for which a1=15 and r=1/3

kogti [31]

Formula: an = a1(r)^n-1

n = term number

a1 = first term

r = rate

Plug our values in:

n = 4

a1 = 15

r = 1/3

a4 = 15(1/3)^4-1

a4 = 15(1/3)^3

a4 = 15(1/27)

a4 = 0.5555555556

a4 = 0.6 to the nearest tenth

5 0

4 years ago

What is the sum of the series? ∑ i=1 5 4i Enter your answer in the box.

nekit [7.7K]

We have that

the expressions is <span>∑ i=1 to 5 (4i)
for i=1-----------> (4*1)=4
</span>for i=2-----------> (4*2)=8
for i=3-----------> (4*3)=12
for i=4-----------> (4*4)=16
for i=5-----------> (4*5)=20
∑ i=1 to 5 (4i)=[4+8+12+16+20]=60

the answer is 60

7 0

3 years ago

Read 2 more answers

Given that f(x) = x^2? + 9x + 18 and g(x) = x + 3, find (f ÷ g) (x) and express the result in standard form.

lawyer [7]

Answer:

x + 6

Step-by-step explanation:

(f ÷ g)(x)

= $\frac{x^2+9x+18}{x+3}$ factorise the numerator