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3 years ago

Perform the indicated operation 14-(-10)

Mathematics

2 answers:

stepan [7]3 years ago

7 0

Answer:

Step-by-step explanation:

Because two negatives make a positive. 14 minus negative 10. Its like, 14 +10.

lukranit [14]3 years ago

4 0

24. two negatives become a positive

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Find the slope of a line through the points (-1,-9) and (4,-2).

sveticcg [70]

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You have used the Distributive Property totransform numerical expressions such as (5)(3) +(2)(3) to (5 + 2)(3). How would you tr

barxatty [35]

We have the expression

$5x+2x$

We have to convert the expression in a single-term expression. We apply the distributive property:

$5x+2x=(5+2)\cdot x=7x$

b) We have to substitute five different values into the expressions 5x+2x and 7x-1.

The first expression is equal to 5x+2x=7x.

We then can predict that the difference between 7x and 7x-1 is 1.

For example, for x=2, we have 7x=7*2=14 and 7x-1=7*2-1=14-1=13.

We can calculate if the two expressions can be equal, we write:

$\begin{gathered} 5x+2x=7x=7x-1 \\ 7x=7x-1 \\ 7x-7x=-1 \\ 0=-1\longrightarrow\text{False} \end{gathered}$

There is no value that can make both expressions equal.

Both equations have a difference of 1 for any value of x.

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2 years ago

The perimeter of the scalene triangle is 88 cm.Which equation can be used to find the value of b if side a measures 12.5 cm?

Mariulka [41]

Answer:

A scalene triangle is one whose sides are all a different length. So there is no way you can find the length of b when you are only given the length of a and the perimeter.

Step-by-step explanation:

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3 years ago

a university is interested in promoting graduates of its honors program by establishing that the mean GPA of these graduates exc

shusha [124]

Answer:

Step-by-step explanation:

We would set up the hypothesis test.

For the null hypothesis,

µ ≥ 3.5

For the alternative hypothesis,

µ < 3.5

It is a left tailed test.

Since the population standard deviation is given, z score would be determined from the normal distribution table. The formula is

z = (x - µ)/(σ/√n)

Where

x = sample mean

µ = population mean

σ = population standard deviation

n = number of samples

From the information given,

µ = 3.5

x = 3.6

σ = 0.4

n = 36

z = (3.6 - 3.5)/(0.4/√36) = 1.5

Looking at the normal distribution table, the probability corresponding to the z score is 0.933

The p value gotten is to the right of the normal curve. Since it is a left tailed test, we need the p value to the left of the curve. Therefore,

p = 1 - 0.933 = 0.067

Since alpha, 0.05 < than the p value, 0.067, then we would fail to reject the null hypothesis. Therefore, At a 5% level of significance, there is no significant evidence that mean GPA of these graduates does not exceed 3.50

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4 years ago