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2 years ago

What is the value of the missing exponent in the equation 7.4 ÷ 10= 0.074?

Mathematics

1 answer:

KiRa [710]2 years ago

7 0

the answer is 0.74 not 0.074

Step-by-step explanation:

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The pair of points (g, -1) and (2, 5) lie on a line with a slope of 3/2. What is the value of g?

Sliva [168]

Answer:

$\huge{ \boxed{ \bold{g = - 2}}}$

Step-by-step explanation:

In order to find g we have to use the formula for finding the slope of the line passing through two points that's

$m = \frac{y_2 -y_ 1}{x_2 -x_1 } \\$

where

(x1 , y1) and (x2 , y2) are the points

From the question the points are (g, -1) and (2, 5) and m = 3/2

We substitute it into the equation and find g

That's

$\frac{3}{2} = \frac{5 - - 1}{2 - g} \\ \frac{3}{2} = \frac{5 + 1}{2 - g } \: \: \: \: \: \: \: \frac{3}{2} = \frac{6}{2 - g} \\ \\ 3(2 - g) = 6(2) \\ 6 - 3g = 12 \\ - 3g = 12 - 6 \\ - 3g = 6 \\ \\ \frac{ - 3g}{ - 3} = \frac{6}{ - 3} \\ \\ g = - 2$

We have the final answer as

Hope this helps you

7 0

1 year ago

HELP PLEASE NO LINKS TELL ME WHAT OPTION

IgorLugansk [536]

Answer:

I think it is "The length of each shape will be an even number.

Step-by-step explanation:

"The square cuboid, square box, or right square prism (also ambiguously called square prism) is a special case of the cuboid in which at least two faces are squares."

4 0

2 years ago

Read 2 more answers

1. Is the square root of 2 between 1.3 and 1.4? How do you know?

VikaD [51]

Answer:

Step-by-step explanation:

1st . 1.3^2= 1.69

1.4^2= 1.96

It's not bettween 1.3 & 1.4

2. 1.4^2=1.96

1.5^2= 2.25

it's betteen 1.4 & 1.5

3 . 1.4 & 1.5 so it's eqaul 1.4

3 0

2 years ago

Read 2 more answers

Draw and label a rectangular prism that has a surface area of 96 square meters.

Mashcka [7]

Basically what you need to do is draw 4 congruent rectangles and 2 comgriemt squares (The six sides of a rectangular prism). The sum of the area of these six quadrilaterals should equal 96. This would be my thought process.

Step 1: Sketch a Rectangular Prism

Step 2: Make some educated guesses on some possible side measurements for the quadrilaterals that form the prism.

Step 3: Guess and Check until the amount equals 96.

So we can guess that the sides of the rectangle might equal 2 and 3 units.

This would be 6 for the area. Times 4 for each of the 4 Rectangles. (24) and add the area of the ends of the prism (2*2*2) which is 8 and you will get 32.

Since we are looking for a surface area of 96 and not 32, we can assume that a 3*2*2 prism is not what we need. So we can try again with other values.

Let's try 6*3*3. 6*3*4 for the four rectangles plus 3*3*2 for the ends.

3 0

3 years ago

Each item produced by a certain manufacturer is independently of acceptable quality with probability 0.95. Approximate the proba

Diano4ka-milaya [45]

Answer:

The probability that at most 10 of the next 150 items produced are unacceptable is 0.8315.

Step-by-step explanation:

Let X = number of items with unacceptable quality.

The probability of an item being unacceptable is, P (X) = p = 0.05.

The sample of items selected is of size, n = 150.

The random variable X follows a Binomial distribution with parameters n = 150 and p = 0.05.

According to the Central limit theorem, if a sample of large size (n > 30) is selected from an unknown population then the sampling distribution of sample mean can be approximated by the Normal distribution.

The mean of this sampling distribution is: $\mu_{\hat p}= p=0.05$

The standard deviation of this sampling distribution is: $\sigma_{\hat p}=\sqrt{\frac{ p(1-p)}{n}}=\sqrt{\frac{0.05(1-.0.05)}{150} }=0.0178$

If 10 of the 150 items produced are unacceptable then the probability of this event is:

$\hat p=\frac{10}{150}=0.067$

Compute the value of $P(\hat p\leq 0.067)$ as follows:

$P(\hat p\leq 0.067)=P(\frac{\hat p-\mu_{p}}{\sigma_{p}} \leq\frac{0.067-0.05}{0.0178})=P(Z\leq 0.96)=0.8315$

*Use a z-table for the probability.

Thus, the probability that at most 10 of the next 150 items produced are unacceptable is 0.8315.

5 0

2 years ago