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3 years ago

Please Help, need this in detail. Simplify 4 (x + 7) using the distributive property

Mathematics

2 answers:

gogolik [260]3 years ago

8 0

Answer:

The answer is 4x+28.

Step-by-step explanation:

Using distributive property, what you do on one side you do to the other.

4(x+7) is a multiplication problem, so you have to multiply 4 by x and 4 by 7.

4*x=4x

4*7=28.

STALIN [3.7K]3 years ago

7 0

Answer:

Step-by-step explanation:

4 (x + 7)

4x + 28

This would be your final answer. You are just multiplying 4 and x. Then 4 and 7.

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You have several pieces of bar stock 11 feet long. You need 12 short pieces to complete your installation. How many pieces of ba

Zielflug [23.3K]

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8 0

2 years ago

A random sample of n = 45 observations from a quantitative population produced a mean x = 2.5 and a standard deviation s = 0.26.

oee [108]

Answer:

P-value (t=2.58) = 0.0066.

Note: as we are using the sample standard deviation, a t-statistic is appropiate instead os a z-statistic.

As the P-value (0.0066) 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 population mean μ exceeds 2.4.

Step-by-step explanation:

This is a hypothesis test for the population mean.

The claim is that the population mean μ exceeds 2.4.

Then, the null and alternative hypothesis are:

$H_0: \mu=2.4\\\\H_a:\mu> 2.4$

The significance level is 0.05.

The sample has a size n=45.

The sample mean is M=2.5.

As the standard deviation of the population is not known, we estimate it with the sample standard deviation, that has a value of s=0.26.

The estimated standard error of the mean is computed using the formula:

$s_M=\dfrac{s}{\sqrt{n}}=\dfrac{0.26}{\sqrt{45}}=0.0388$

Then, we can calculate the t-statistic as:

$t=\dfrac{M-\mu}{s/\sqrt{n}}=\dfrac{2.5-2.4}{0.0388}=\dfrac{0.1}{0.0388}=2.58$

The degrees of freedom for this sample size are:

$df=n-1=45-1=44$

This test is a right-tailed test, with 44 degrees of freedom and t=2.58, so the P-value for this test is calculated as (using a t-table):

$P-value=P(t>2.5801)=0.0066$

As the P-value (0.0066) 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 population mean μ exceeds 2.4.

7 0

2 years ago

Find the value of x in the below complementary angle 3x(5x+2)

Natali [406]

Answer:

The value of x is 11

Step-by-step explanation:

<em>Two angles are complementary if the sum of their measures is 90°</em>

Let us use this rule to solve our question

∵ The angle of measure (3x)° and the angle of measure (5x + 2)°

are complementary angles

→ That means their sum equals 90°

∴ 3x + 5x + 2 = 90

→ Add the like terms in the left side

∵ (3x + 5x) + 2 = 90

∴ 8x + 2 = 90

→ Subtract 2 from both sides to move 2 from the left side to the right side

∵ 8x + 2 - 2 = 90 - 2

∴ 8x = 88

→ Divide both sides by 8 to find x

∵ 8x/8 = 88/8

∴ x = 11

∴ The value of x is 11

7 0

2 years ago

Points are: A= (-2,7)B= (3,5)C= (1,0) To show that the triangle is a right triangle, show that the sum of the squares of the len

Gala2k [10]

The sum of the squares of the lengths is 58

The square of length of the hypotenuse is 58

From the question, we have

AB² = (-2-3)² +(7-5)²= 25+4 =29

BC² = (3-1)²+(5-0)²=4+25=29

AC² = (-2-1)²+(7-0)² = 9+49 = 58

Here we can see that,

AB²+BC² = AC²

The sum of the squares of the lengths of two sides (the legs) equals the square length of the third side (hypotenuse).

the sum of the squares of the lengths = AB²+BC² =29+29 = 58

the square of length of the hypotenuse= 58

Pythagoras Theorem:

In a right-angled triangle, the square of the hypotenuse side is equal to the sum of the squares of the other two sides, according to Pythagoras's Theorem. These triangle's three sides are known as the Perpendicular, Base, and Hypotenuse. Due to its position opposite the 90° angle, the hypotenuse in this case is the longest side. When the positive integer sides of a right triangle (let's say sides a, b, and c) are squared, the result is an equation known as a Pythagorean triple.

To learn more about pythagoras theorem visit: brainly.com/question/343682

#SPJ9

5 0

9 months ago

what is the probability of drawing a silver marble from a bag that contains 4 blue marbles, 7 silver marbles, and 5 green marble

umka21 [38]

Answer:

7 out of 16

Step-by-step explanation:

Well there are 16 marbles in total, and only 7 silver marbles. So the probability of getting a silver marble is 7/16

3 0

3 years ago