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3 years ago

What is the value of x and how do you know

Mathematics

2 answers:

Oduvanchick [21]3 years ago

6 0

Step-by-step explanation:

$180 - 110 = 60 - 2 = 30 \\ so \: x = 30$

Nookie1986 [14]3 years ago

5 0

Answer:

x=35°

Step-by-step explanation:

So first, recall that the interior angles of a triangle must total 180°.

The sum of the angles for the given triangle can be described by:

$110+x+x\\=2x+110$

Since the total must equal 180°, set the expression equal to 180°.

$2x+110=180$

To find the value of x, we just need to solve for x.

To start, subtract 110 from both sides. The 110s on the left cancels:

$(2x+110)-110=(180)-110\\2x=70$

Now, divide both sides by 2. The 2s on the left cancel.

$\frac{(2x)}{2}=\frac{(70)}{2}\\ x=35 \textdegree$

Therefore, the value of x is 35°.

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Solve for b.

andriy [413]

It's -18.

-1/6b=3

Multiply the reciprocal of -1/6 to both sides, this will get x by itself

(-6/1)*-1/6b=3*(-6/1)

b= -18/1
b= -18

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Natalie made blueberry muffins for a bake sale. Each muffin cost her about $0.25 to make. She spent $8.75 to make all of the muf

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Answer:

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Step-by-step explanation:

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The solution set to 6 + 2n > 12 is n > 3. Which are the correct representations of this solution? Select two options.

Alina [70]

The correct representation of 6 + 2n > 12 (n > 3) is (3, ∞) and a number line with an open circle at +3 and being shaded from +3 to +5.

<h3>What is an equation?</h3>

An equation is an expression that shows the relationship between two or more numbers and variables.

Given the equation::

6 + 2n > 12

Subtracting 6 from both sides:

6 + 2n - 6 > 12 - 6

2n > 6

Dividing by 2:

n > 3

The correct representation of 6 + 2n > 12 (n > 3) is (3, ∞) and a number line with an open circle at +3 and being shaded from +3 to +5.

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1 year ago

A manufacturer produces light bulbs that have a mean life of at least 500 hours when the production process is working properly.

denpristay [2]

Answer:

We conclude that the population mean light bulb life is at least 500 hours at the significance level of 0.01.

Step-by-step explanation:

We are given that a manufacturer produces light bulbs that have a mean life of at least 500 hours when the production process is working properly. The population standard deviation is 50 hours and the light bulb life is normally distributed.

You select a sample of 100 light bulbs and find mean bulb life is 490 hours.

Let $\mu$ = population mean light bulb life.

So, Null Hypothesis, $H_0$ : $\mu \geq$ 500 hours {means that the population mean light bulb life is at least 500 hours}

Alternate Hypothesis, $H_A$ : $\mu$ < 500 hours {means that the population mean light bulb life is below 500 hours}

The test statistics that would be used here One-sample z test statistics as we know about the population standard deviation;

T.S. = $\frac{\bar X-\mu}{\frac{\sigma}{\sqrt{n} } }$ ~ N(0,1)

where, $\bar X$ = sample mean bulb life = 490 hours

σ = population standard deviation = 50 hours

n = sample of light bulbs = 100

So, the test statistics = $\frac{490-500}{\frac{50}{\sqrt{100} } }$

= -2

The value of z test statistics is -2.

Now, at 0.01 significance level the z table gives critical value of -2.33 for left-tailed test.

Since our test statistic is higher than the critical value of z as -2 > -2.33, so we have insufficient evidence to reject our null hypothesis as it will not fall in the rejection region due to which we fail to reject our null hypothesis.

Therefore, we conclude that the population mean light bulb life is at least 500 hours.

7 0

3 years ago

Help if you know thanks

Yanka [14]

Answer:

x = -1/2 x=-1

Step-by-step explanation:

2x( x+1.5) = -1

Distribute

2x^2 + 3x = -1

Add 1 to each side

2x^2 +3x+1 = 0

Factor

(2x+1) (x+1) =0

Using the zero product property

2x+1 = 0 x+1=0

2x = -1 x=-1

x = -1/2 x=-1

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