Find the volume of each prisim

Theach me long division how do you do it in South Africa gr 6

JulsSmile [24]

Answer:

Step-by-step explanation:

Hi there,

We divide numbers where each of the hundreds, tens, and ones digits are evenly divisible by the divisor. The GOAL in this first, easy step is to get students used to two things:

To get used to the long division "corner" so that the quotient is written on top.

To get used to asking how many times does the divisor go into the various digits of the dividend.

Example problems for this step follow. Students should check each division by multiplication.

In this step, students also learn to look at the first two digits of the dividend if the divisor does not "go into" the first digit:

4 √ 248

4 does not go into 2. You can put zero in the quotient in the hundreds place or omit it. But 4 does go into 24, six times. Put 6 in the quotient.

Explanation:

The 2 of 248 is of course 200 in reality. If you divided 200 by 4, the result would be less than 100, so that is why the quotient won't have any whole hundreds.

But then you combine the 2 hundreds with the 4 tens. That makes 24 tens, and you CAN divide 24 tens by 4. The result 6 tens goes as part of the quotient.

Check the final answer: 4 × 62 = 248.

6 0

2 years ago

Find the x-intercepts of the parabola with the vertex (4,-1) and y-intercpet (0,15). write your answer in this form, (x1,y1)(x2.

Ilya [14]

If you fit the vertex and the y-intercept into that form of the parabola, what you get is this:
$a(0-4) ^{2} =(15+1)$ and
$a(-4) ^{2} =16$ and 16a=16. Solve that a to get that a = 1. Now you have your true parabola equation in vertex form, which is:
$1(x-4) ^{2} =y+1$ or just
$(x-4) ^{2} =y+1$
Follow my work here to find the x-intercepts:
$(x-4) ^{2} -1=y$
(x-4)(x-4)-1=y and $x^{2} -8x+16-1=y$
Simplifying by combining like terms gives you this parabola:
$x^{2} -8x+15=y$
In order to find the x-intercepts, or the roots of the parabola as they are also known as, you have to set y equal to 0 (because the x-intercepts are found when y = 0, right?)
$x^{2} -8x+15=0$
Factoring that gives you (x-5)(x-3)=0 and that x-5=0 and x-3=0. Solving each of those simple equations gives you x=5 and x=3 when y=0. So the roots, in the form you require them, are (5, 0) and (3, 0)

8 0

3 years ago

The line 2x + 3y = 8 meets the curve 2x² + 3y² = 110 at the points of A and B. Find the coordinates of A and B.

iren [92.7K]

From (1), we get x = (8 - 3y) / 2 ––(3)

Substitute (3) into (2),

2 [(8 - 3y) / 2]² + 3y² = 110

(8 - 3y)² + 3y² = 220

15y² - 48y - 156 = 0

Therefore y = 5.2, then x = (8 - 3×5.2) / 2 = -3.8

OR y = -2, then x = [8 - 3×(-2)] / 2 = 7

The cordinates of A and B are (-3.8, 5.2) and (7, -2).

7 0

3 years ago

Read 2 more answers

In 2011, 51% of cell phone owners in a country reported that their cell phone was a smartphone. The following year, the research

Dovator [93]

Answer:

The calculated value Z = 1.5950 < 1.96 at 0.05 level of significance

The null hypothesis is accepted at a 0.05 level of significance

The proportion of cell phone owners in that country who have a smartphone has not increased over time

Step-by-step explanation:

Step(i):-

Given that the random sample size 'n' = 934

Given that the population proportion P = 0.51

Q= 1-P

Q = 1- 0.51 = 0.49

The sample proportion

$p = \frac{x}{n} = \frac{501}{934} = 0.5364$

Level of significance = 0.05

Critical value Z₀.₀₅ = 1.96

Step(ii):-

Null hypothesis: P < 0.51

Alternative Hypothesis : P > 0.51

Test statistic

$Z = \frac{p-P}{\sqrt{\frac{PQ}{n} } }$

$Z = \frac{0.536-0.51}{\sqrt{\frac{0.51 x 0.49}{934} } }$

Z = 1.5950

Final answer:-

Given that P-value 0. 0532

P-value > 0.05

Rejected Alternative Hypothesis and accepted null hypothesis

( OR)

The calculated value Z = 1.5950 < 1.96 at 0.05 level of significance

The null hypothesis is accepted at a 0.05 level of significance

The proportion of cell phone owners in that country who have a smartphone has not increased over time

3 0

3 years ago

Suppose a certain candy is made up of red, yellow, green, blue, and orange pieces. a) If you draw one piece of candy, are th

riadik2000 [5.3K]

Answer:

(a) Disjoint

(b) Independent

(c) No

Explanation:

(a) Disjoint events are those events that are mutually exclusive or we can say that the two events can not occur at the same instant.

Thus in a single draw we can not get both yellow and green ball.

(b) Those events in which the probability of the occurrence of one event does not affect the probability of the happening of another event in any way.

Thus the two pieces drawn are from the infinite supply does not affect one another and hence are independent.

(c) No, since after one event has occurred the occurrence of the other one is not possible.

3 0

3 years ago