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siniylev [52]
3 years ago
12

What would be the simplified expression AFTER the first step in this expression: 10–5+3×9÷3

Mathematics
1 answer:
dmitriy555 [2]3 years ago
6 0

Answer:

10-5+3×3

Step-by-step explanation:

that what you get when you first work out the division sign

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Find the area of the figure.
andriy [413]

Answer:

3404800

Step-by-step explanation:

7 x 4 x 4 x 10 x 10 x 8 x 19 x 2 = 3404800

Hope this helps!!!

6 0
3 years ago
Can someone please help me, I'll appreciate it:)
attashe74 [19]
Well it woulnt be parallel because its not a 180 or 360 rotation. the only reasonable answer would be the same length
5 0
3 years ago
In a simple random sample of 300 boards from this shipment, 12 fall outside these specifications. Calculate the lower confidence
Lyrx [107]

Answer:

The 95% confidence interval for the percentage of all boards in this shipment that fall outside the specification is (1.8%, 6.2%).

Step-by-step explanation:

In a random sample of 300 boards the number of boards that fall outside the specification is 12.

Compute the sample proportion of boards that fall outside the specification in this sample as follows:

\hat p =\frac{12}{300}=0.04

The (1 - <em>α</em>)% confidence interval for population proportion <em>p</em> is:

CI=\hat p\pm z_{\alpha/2}\sqrt{\frac{\hat p(1-\hat p)}{n}}

The critical value of <em>z</em> for 95% confidence level is,

z_{\alpha/2}=z_{0.05/2}=z_{0.025}=1.96

*Use a <em>z</em>-table.

Compute the 95% confidence interval for the proportion of all boards in this shipment that fall outside the specification as follows:

CI=\hat p\pm z_{\alpha/2}\sqrt{\frac{\hat p(1-\hat p)}{n}}\\=0.04\pm1.96\sqrt{\frac{0.04(1-0.04)}{300}}\\=0.04\pm0.022\\=(0.018, 0.062)\\\approx(1.8\%, 6.2\%)

Thus, the 95% confidence interval for the proportion of all boards in this shipment that fall outside the specification is (1.8%, 6.2%).

6 0
3 years ago
The length of a rectangle is 5 units more than the width. The area of the rectangle is 36 units. What is the width, in units, of
PIT_PIT [208]

Answer:

4

Step-by-step explanation:

Let y be the width of the rectangle

The length of the rectangle is 5 unit more than the width. This is written as:

Length = y + 5

Area = 36

Recall:

Area of rectangle = length x width

36 = (y + 5) x y

36 = y^2 + 5y

Rearrange the expression

y^2 + 5y — 36 = 0

To solve this problem by factorization, multiply the first term (i.e y^2) and last term ( i.e — 36) together. This gives — 36y^2

Next, find two factors of —36y^2 such that when we add them together it will result to the second term (5y). These factors are —4y and 9y. Now we substitute —4y and 9y in place of 5y in the equation. This is illustrated below:

y^2 + 5y — 36 = 0

y^2 —4y + 9y — 36 = 0

We factorize as follows:

y(y — 4) + 9(y —4) = 0

(y + 9) (y — 4) =0

y + 9 = 0 or y — 4 = 0

y = —9 or y = 4

Since the measurement can not be negative, therefore y (i.e the width) is 4

4 0
3 years ago
20% of 250 students ate pizza for lunch how many students ate pizza
Svetlanka [38]

Answer:

The answer would be 50

Step-by-step explanation:

.20 x 250 = 50

7 0
3 years ago
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