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3 years ago

Which number from the set {5, 10, 15, 18} makes the equation true?

Mathematics

2 answers:

Ganezh [65]3 years ago

6 0

Answer:

Step-by-step explanation:

Given the equation 2x + 3(x + 4) = 37, to find x we will make x the subject of the formula. To do that, we need to first open the bracket of the equation to have;

2x+3x+12=37

5x+12 = 37

Taking +12 to the other side of the equation will change the sign to negative i.e -12 to give;

5x = 37-12

5x = 25

Dividing both sides the coefficient of x which is 5, we will have;

5x/5 = 25/5

x = 5

Since 5 is an element of the given set, 5 is therefore the element of the set that makes the equation true.

Vlada [557]3 years ago

3 0

Answer

Letter B

Step-by-step explanation

x=10 because

2x{ 10}+ 3 =23

X{10} + 4= 14

23+ 14= 37

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a discount of 15% is given on all t-shirt how much less is paid on such a T-shirt which ordinary cost $85

Juli2301 [7.4K]

Answer:

$72.25

Step-by-step explanation:

85 x 15/100

85 x 0.15= 12.75

85- 12.75=

72.25

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3 years ago

4. A book club earns $230 for its meetings. They want to divide the money to pay for 7 meetings. When the treasurer types

Mariulka [41]

nearest cent so so 32.86 but since its money and 32.86 times 7 is 230.02 it should be rounded down so the answer will be 32.85

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3 years ago

Dean purchased a box of cereal Which of these measurements BEST describes the volume of the box?

ozzi

Answer:

Step-by-step explanation:

You don't measure cereal in the others because feet, meters and millimeters are too big. Hope this helps.

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2 years ago

6.3.6. Among the early attempts to revisit the death postponement theory introduced in Case Study 6.3.2 was an examination of th

kakasveta [241]

Answer:

So the Null hypothesis is rejected in this case

Step-by-step explanation:

The number of celebrities is n = 348

So to solve this we would assume that p is the percentage of people that died on the month preceding their birth month

Generally if there is no death postponement then p will be mathematically evaluated as

$p = \frac{1}{12}$

This implies the probability of date in one month out of the 12 months

Now from the question we can deduce that the hypothesis we are going to be testing is

$Null Hypothesis \ \ H_0 : p = 0.083$

This is a hypothesis is stating that a celebrity dies in the month preceding their birth

$Alternative \ Hypothesis H_1 : p < 0.083$

This is a hypothesis is stating that a celebrity does not die in the month preceding their birth

is c is the represent probability for each celebrity which either c = 0 or c = 1

Where c = 0 is that the probability that the celebrity does not die on the month preceding his/ her birth month

and c = 1 is that the probability that the celebrity dies on the month preceding his/ her birth month

Then it implies that

for

n= 1 + 2 + 3 + .... + 348 celebrities

Then the sum of c for each celebrity would be $c_s = 16$

i.e The number of celebrities that died in the month preceding their birth month

We are told that the significance level is $\alpha = 0.05$ , the the z value of $\alpha$ is

$z_{\alpha } = 1.65$

This is obtained from the z-table

Since this test is carried out on the left side of the area under the normal curve then the critical value will be

$z_{\alpha } = - 1.65$

So what this implies is that $H_o$ will be rejected if

$z \le -1.65$

Here z is the test statistics

Now z is mathematically evaluated as follows

$z = \frac{c - np}{\sqrt{np_o(1- p_o)} }$

$z = \frac{16 - (348 *0.083)}{\sqrt{348*0.083 (1- 0.083)} }$

$z =-2.50$

From our calculation we see that the value of z is less than $-1.65$ so the Null hypothesis will be rejected

Hence this tell us that the evidence provided is not enough to conclude that 16 celebrities died a month to their birth month

8 0

2 years ago

The perimeter of a square is 32 cm what is the length of a diagonal

Dafna1 [17]

First you should draw yourself a square.Since you know it is a square you can find each side by dividing it by 4. 32/4 = 8. Since it is a square you know that both the length and width are 8. If you draw in the diagonal that is a right triangle. Use the Pythagorean theorem a^2 + b^2= c^2 to find the length of the diagonal.
8^2 + 8^2 = c^2

3 0

3 years ago