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nikdorinn [45]
3 years ago
5

-4 + (-8) - (-2) + 4

Mathematics
2 answers:
SCORPION-xisa [38]3 years ago
7 0

Answer:

Hi there!

The answer to this question is -6.

Step-by-step explanation:

-4 + -8 = -12

-12 - (-2) is equivalent to -12 + 2 which equals -10

then -10 + 4 equals -6

therefore the final answer is -6

melisa1 [442]3 years ago
3 0

Answer:

-6

Step-by-step explanation:

-4+ -8 = -12 +2 = -10 +4 = -6

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The price of a technology stock has risen to $9.82 today. Yesterday's price was $9.71. Find the percentage increase. Round your
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Answer:

9.71 ÷ 9.82 = .9987 or 1% .

5 0
3 years ago
In a right triangle with acute angle of measure theta, sintheta=1 /2. What is the value of costhetatheta? Draw a diagram as part
Stells [14]

Answer:

0.866

Step-by-step explanation:

By definition

sin \theta = \frac{Opposite}{Hypotenuse}

cos \theta = \frac{Adjacent}{Hypotenuse}

We know that sin \theta = 0.5. Inverse of sine is arcsin, so, angle \theta is computed as

\theta=arcsin(0.5)=30

Therefore, cosine of \theta is  

cos (30°) = 0.866

3 0
4 years ago
A sign at a bakery show s8 cookies for $10 and 12 cookies for $16. Find the unit price to the nearest cent (hundtreth) for each
Alja [10]

Answer:

8 cookies: 1 cookie =$1.25

12 cookies: 1 cookie =$1.33

Step-by-step explanation:

The formula for price per unit is : \frac{price}{unit}

Lets first work out the price per unit for the 8 cookies. You can do this by dividing the price of 10 by the amount of 8, this gives you $1.25. This means that the price per cookie is $1.25.

Now to work out the price per cookie for 12 cookies. You can do this by dividing the price of 16 by the amount of 12, this gives you $1.33. This means that the price per cookie for this offer is $1.33.

1) Divide 10 by 8.

10/8=1.25

2) Divide 16 by 12.

16/12=1.33

3 0
4 years ago
A restaurant chef ordered product to make a stew. He ordered 4 pounds of beef at 9.25 per pound, 6 pounds of potatoes at $6.75 a
Svetlanka [38]

ok so. A restaurant chef ordered product to make a stew. He ordered 4 pounds of beef at 9.25 per pound, 6 pounds of potatoes at $6.75 a pound, and 5 pounds of carrots at $9.80 per pound. If the stew serves 30 people and he charges $12.50 per serving, how much profit will he make?

6 0
4 years ago
Read 2 more answers
Bottles filled by a certain machine are supposed to contain 12 oz of liquid. In fact the fill volume is random with mean 12.01 o
stepan [7]

Answer:

27.43% probability that the mean volume of a random sample of 144 bottles is less than 12 oz.

Step-by-step explanation:

To solve this problem, it is important to understand the normal probability distribution and the central limit theorem.

Normal probability distribution

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a random variable X, with mean \mu and standard deviation \sigma, a large sample size can be approximated to a normal distribution with mean \mu and standard deviation s = \frac{\sigma}{\sqrt{n}}

In this problem, we have that:

\mu = 12.01, \sigma = 0.2, n = 144, s = \frac{0.2}{\sqrt{144}} = 0.0167

What is the probability that the mean volume of a random sample of 144 bottles is less than 12 oz

This is the pvalue of Z when X = 12

Z = \frac{X - \mu}{\sigma}

By the Central Limit Theorem

Z = \frac{X - \mu}{s}

Z = \frac{12 - 12.01}{0.0167}

Z = -0.6

Z = -0.6 has a pvalue of 0.2743.

So there is a 27.43% probability that the mean volume of a random sample of 144 bottles is less than 12 oz.

4 0
3 years ago
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