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3 years ago

What is the value of x? 1 3 x + 1 = 1 6 (2x + 3) A) 3 4 B) 4 3 C) - 3 4 D) no solution

Mathematics

1 answer:

frosja888 [35]3 years ago

7 0

Answer: If those spaced numbers are fractions, The answer is D.

Step-by-step explanation:

There are no values of X that make the equation true.

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Can someone please help me with b, d, and 9-13? I already drew a number line, thanks in advance! :)

inessss [21]

B)
$\frac{3}{13} = s$
d)
$\frac{5}{4} = s$
9) I'm not really sure how to answer it, but I guess like 2.1, 2.2, 2.5, etc.,

10)
${2}^{2} = 4$
${3}^{2} = 9$
so {5, 6, 7, 8} is the answer

11) for some reason it won't let me insert a picture but put place
$\sqrt{4}$
above 2, and then place
$\sqrt{9}$
above 3, and then place
$\sqrt{7}$
in between 2 and 3, but place it a little closer to three since
$\sqrt{7} = 2.65$
12) place
$\sqrt{5}$
between 2 and three, but closer to two since
$\sqrt{5} = 2.24$
and also
$\sqrt{5} < \sqrt{7}$
and for number 13) the square root of 144 is 12, and the square root of 169 is 13, so any numbers between 12 and 13 will work.

I hope this helped and if not, message me and ill try to explain!

8 0

2 years ago

Fatima wants to find the value of sine theta, given cotangent theta = four-sevenths. which identity would be best for fatima to

horsena [70]

Answer:

Step-by-step explanation:

From the right triangle with cot theta = 4/7 = (adjacent side / opposite side), Fatima can find the length of the hypotenuse using Pythagoras. This gives a value of 8.0823. So cos theta = 4 / 8.0823 = 0,49614,

Then she could find the values of sin theta using

sine squared theta + cos squared theta = 1.

6 0

1 year ago

NEED HELP ASAP<br>algebra 2

Luden [163]

Answer:

x = sqrt(17)

Step-by-step explanation:

Since this is a right triangle we can use the Pythagorean theorem

a^2 + b^2 = c^2

Let the unknown side be x

8^2 + x^2 = 9^2

64 + x^2 = 81

Subtract 64 from each side

x^2 = 81-64

x^2 =17

Taking the square root of each side

x = sqrt(17)

3 0

3 years ago

Read 2 more answers

Factor the polynomial FULLY?

Sloan [31]

Step-by-step explanation:

4x²-64

(2x)²-(8)²

a²-b²=(a+b)(a-b)

=(2x+8)(2x-8)

Therefore, the factors are -4 and 4.

4 0

2 years ago

Read 2 more answers

Suppose the Acme Drug Company develops a new drug, designed to prevent colds. The company states that the drug is equally effect

matrenka [14]

Answer:

a) Null hypothesis: the drug is equally effective for men and women (company's claim)

Alternative hypothesis: the drug effectiveness significantly differs for men and women.

$H_0: \pi_1-\pi_2=0\\\\H_a:\pi_1-\pi_2\neq 0$

b) If the P-value is smaller than the significance level, the null hypothesis is rejected. If not, the null hypothesis failed to be rejected.

c) In the explanation.

d) As the P-value (0.0342) is smaller than the significance level (0.05), the effect is significant.

The null hypothesis is rejected.

There is enough evidence to support the claim that the drug effectiveness significantly differs for men and women.

The company's claim is rejected.

Step-by-step explanation:

This is a hypothesis test for the difference between proportions.

The claim of the company, will be stated in the null hypothesis. We will test if there is evidence against that claim to reject it or not.

Then, the test claim is that the drug effectiveness significantly differs for men and women.

The null and alternative hypothesis are:

$H_0: \pi_1-\pi_2=0\\\\H_a:\pi_1-\pi_2\neq 0$

The significance level is 0.05.

The sample 1 (women), of size n1=100 has a proportion of p1=0.38.

The sample 2 (men), of size n2=200 has a proportion of p2=0.51.

The difference between proportions is (p1-p2)=-0.13.

$p_d=p_1-p_2=0.38-0.51=-0.13$

The pooled proportion, needed to calculate the standard error, is:

$p=\dfrac{X_1+X_2}{n_1+n_2}=\dfrac{38+102}{100+200}=\dfrac{140}{300}=0.467$

The estimated standard error of the difference between means is computed using the formula:

$s_{p1-p2}=\sqrt{\dfrac{p(1-p)}{n_1}+\dfrac{p(1-p)}{n_2}}=\sqrt{\dfrac{0.467*0.533}{100}+\dfrac{0.467*0.533}{200}}\\\\\\s_{p1-p2}=\sqrt{0.002489+0.001244}=\sqrt{0.003733}=0.061$

Then, we can calculate the z-statistic as:

$z=\dfrac{p_d-(\pi_1-\pi_2)}{s_{p1-p2}}=\dfrac{-0.13-0}{0.061}=\dfrac{-0.13}{0.061}=-2.1276$

This test is a two-tailed test, so the P-value for this test is calculated as (using a z-table):

$P-value=2\cdot P(z$

As the P-value (0.0342) is smaller than the significance level (0.05), the effect is significant.

The null hypothesis is rejected.

There is enough evidence to support the claim that the drug effectiveness significantly differs for men and women.

6 0

3 years ago