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maria [59]
2 years ago
13

What’s the answer to this question ?

Mathematics
2 answers:
Nady [450]2 years ago
7 0
Answer:

2

Step-by-step explanation:

3/4 x 2 2/3 =

Convert 2 2/3 into a improper fraction!

Step 1. Multiply denominator by whole number.

2 2/3 = 3 • 2

Step 2. Add the numerator to the expression!

2 2/3 = 3 • 2 + 2

Step 3. Add the denominator after the expression.

2 2/3 = 3 • 2 + 2 / 3

Step 4. Solve

2 2/3 = 6 + 2 / 3

2 2/3 = 8 / 3
______________________________
Now instead of using 2 2/3 we are going to use 8/3!

Then we can start multiplying the two fractions (3/4 x 8/3)

Step 1. Multiply the numerator by numerator over denominator by denominator!

3/4 x 8/3 = 3 • 8/4 • 3

Step 2. Solve

3/4 x 8/3 = 24/12

Simplify 24/12

24/12 = 2
Rainbow [258]2 years ago
4 0

Answer:

Step-by-step explanation:

\frac{3}{4} x \frac{8}{3} =2

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Q 4.19: To verify whether there are negative consequences of taking a new type of medicine, 3000 tests were conducted. Assume th
tiny-mole [99]

Answer:

The p-value obtained is less than the significance level at which the test was performed at, hence, we reject the null hypothesis, accept the alternative hypothesis & say that there is enough evidence to conclude that the the new medicine is potentially harmful.

Step-by-step explanation:

The null hypothesis plays the devil's advocate and usually takes the form of the opposite of the theory to be tested. It usually contains the signs =, ≤ and ≥ depending on the directions of the test.

While, the alternative hypothesis usually confirms the the theory being tested by the experimental setup. It usually contains the signs ≠, < and > depending on the directions of the test.

For this question, the null hypothesis is that the new medicine has no negative effects and the alternative hypothesis is that the new medicine is potentially harmful

Mathematically,

The null hypothesis is represented as

H₀: p = 0

The alternative hypothesis is represented as

Hₐ: p > 0

To do this test, we will use the z-distribution because although no information on the population standard deviation is known, the sample size is large enough.

So, we compute the test statistic

z = (x - μ)/σₓ

x = sample proportion = (31/3000) = 0.0103

μ = p₀ = 0

σₓ = standard error = √[p(1-p)/n]

where n = Sample size = 3000

σₓ = √[0.0103×0.9897/3000] = 0.0018462936 = 0.0018463

z = (0.0103 - 0) ÷ 0.0018463

z = 5.60

checking the tables for the p-value of this test statistic

Significance level = 1% = 0.01

The hypothesis test uses a one-tailed condition because we're testing only in one direction.

p-value (for z = 5.60, at 0.01 significance level, with a one tailed condition) = < 0.00001

The interpretation of p-values is that

When the (p-value > significance level), we fail to reject the null hypothesis and when the (p-value < significance level), we reject the null hypothesis and accept the alternative hypothesis.

So, for this question, significance level = 0.01

p-value = < 0.00001

p-value < 0.00001 < 0.10

Hence,

p-value < significance level

This means that we reject the null hypothesis, accept the alternative hypothesis & say that there is enough evidence to conclude that the the new medicine is potentially harmful.

Hope this Helps!!!

6 0
3 years ago
Write the equation of the line that passes through the point (3, -5) and is perpendicular to the line x = 4.
Nadya [2.5K]

Answer:

Step-by-step explanation:

slope of line perpendicular to x=4 is 0

reqd. eq. of line is y=-5

7 0
3 years ago
2/4 = y/10 what is y?
beks73 [17]

Answer:

5

Step-by-step explanation:

2/4=y/10

=> 2x10=yx4

=> 20=yx4

=>y=5

3 0
3 years ago
The central angle of an arc measures 120° The radius of the circle measures 3 cm what is the area of the sector to the nearest h
jeka57 [31]

Answer:

The area of the sector should be 9.42cm^2 .

Step-by-step explanation:

-The formula for finding the area of a sector:

A = \frac{Arc}{360} \pi r^2

-Next use the arc measure and the radius in order to solve and get the answer:

A = \frac{120\textdegree}{360\textdegree}\pi 3^2

-Solve:

A = \frac{120\textdegree}{360\textdegree}\pi 3^2

A = \frac{120\textdegree}{360\textdegree}\pi \times3^2

A = \frac{1}{3} \pi \times 3^2

A = \frac{1}{3} \pi \times 9

A = 3\pi \approx 9.424

-Round to the nearest hundredth:

A \approx 9.42

8 0
3 years ago
HELPP! QUICKKKK! Lol
Lerok [7]

Answer:

Child ticket = $16.

Step-by-step explanation:

Let adult tickets = a;

child ticket = c.

2a + c = 94 — eq no. 1,

2a + 2c = 110 — eq no. 2,

then,from eq 1,

c = 94 - 2a. —eq no. 3.

Substitute eq 3 into eq 2,

2a + 2(94 - 2a) = 110

2a - 4a = 110 - 188

-2a /-2 = -78 / -2

a = 39.

Substitute value of a into eq 3,

c = 94 - 2(39)

= 94 - 78

c = 16.

Thus, child ticket = $16.

3 0
2 years ago
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