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3 years ago

Use compatible numbers to solve the problem 326 divided by 44.

1 answer:

muminat3 years ago

5 0

Compatible numbers are close to actual numbers, but easier to solve.
So instead of: 326 : 44,
we will do: 320 : 40 = 8
And we know that the real result is:
326 : 44 = 7.4
Answer:
B ) 320 divided by 40 is 8.

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The endpoints of ab are a(1,4) and b(6,-1). If point c divides ab in the ratio 2:3, the coordinates of c are ?. If point d divid

Pachacha [2.7K]

Answer:

The coordinate C:(3,2) and coordinate $D:\left ( \dfrac{11}{5},\dfrac{14}{5}, \right )$

Step-by-step explanation:

1. The endpoints of AB are A(1,4) and B(6,-1)

If point C divide AB in the ratio 2:3

Formula:

$\text{Section formula}(x,y)=\left ( \dfrac{mx_2+nx_1}{m+n},\dfrac{my_2+ny_1}{m+n}, \right )$

Where,

$(x_1,y_1)\rightarrow A(1,4)$

$(x_2,y_2)\rightarrow B(6,-1)$

$m:n\rightarrow 2:3$

$C:(x,y)$

$C:\left ( \dfrac{2\cdot 6+3\cdot 1}{2+3},\dfrac{2\cdot -1+3\cdot 4}{2+3}, \right )$

$C:\left ( \dfrac{12+3}{5},\dfrac{-2+12}{5}, \right )$

$C:(3,2)$

2. The endpoints of AC are A(1,4) and B(3,2)

If point D divide AC in the ratio 3:2

$(x_1,y_1)\rightarrow A(1,4)$

$(x_2,y_2)\rightarrow C(3,2)$

$m:n\rightarrow 3:2$

$D:(x,y)$

$D:\left ( \dfrac{3\cdot 3+2\cdot 1}{2+3},\dfrac{3\cdot -1+2\cdot 4}{2+3}, \right )$

$D:\left ( \dfrac{9+2}{5},\dfrac{6+8}{5}, \right )$

$D:\left ( \dfrac{11}{5},\dfrac{14}{5}, \right )$

Hence, The coordinate C:(3,2) and coordinate D: $\left ( \dfrac{11}{5},\dfrac{14}{5}, \right )$

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4 years ago

Read 2 more answers

15.5+(-10.5) i need help now

Alekssandra [29.7K]

Answer:

Step-by-step explanation:

8 0

4 years ago

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The equation of circle having a diameter with endpoints (-3, 1) and (5, 7) is

nydimaria [60]

The equation of a circle:
$(x-h)^2+(y-k)^2=r^2$
(h,k) - the coordinates of the center
r - the radius

The center is the midpoint of the diameter.
$(-3,1) \\
x_1=-3 \\ y_1=1 \\ \\
(5,7) \\
x_2=5 \\ y_2=7 \\ \\
\hbox{the midpoint: } (\frac{x_1+x_2}{2},\frac{y_1+y_2}{2}) \\
\frac{x_1+x_2}{2}=\frac{-3+5}{2}=\frac{2}{2}=1 \\
\frac{y_1_y_2}{2}=\frac{1+7}{2}=\frac{8}{2}=4 \\
\Downarrow \\
(1,4) \\ h=1 \\ k=4$

The radius is half the diameter, or the distance from one of the endpoints to the center.
$r=\sqrt{(x_1-h)^2+(y_1-k)^2}=\sqrt{(-3-1)^2+(1-4)^2}=\\
=\sqrt{(-4)^2+(-3)^2}=\sqrt{16+9}=\sqrt{25}=5 \\ \Downarrow \\
r^2=5^2=25$

The equation of the circle:
$\boxed{(x-1)^2+(y-4)^2=25}$

8 0

3 years ago

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A researcher estimates the 90% CI for a sample with a mean of M = 8.9 and a standard error (sigma_M) of 2.1. What is the confide

Shalnov [3]

Answer:

The confidence interval at this level of confidence is between 5.4455 and 12.3545.

Step-by-step explanation:

We have that to find our $\alpha$ level, that is the subtraction of 1 by the confidence interval divided by 2. So:

$\alpha = \frac{1-0.9}{2} = 0.05$

Now, we have to find z in the Ztable as such z has a pvalue of $1-\alpha$ .

So it is z with a pvalue of $1-0.05 = 0.95$ , so $z = 1.645$

Now, find M as such

$M = z*s$

In which s is the standard deviation of the sample, which is also called standard error. So

$M = 1.645*2.1 = 3.4545$

The lower end of the interval is the sample mean subtracted by M. So it is 8.9 - 3.4545 = 5.4455

The upper end of the interval is the sample mean added to M. So it is 8.9 + 3.4545 = 12.3545

The confidence interval at this level of confidence is between 5.4455 and 12.3545.

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4 years ago

Sofia wishes to make 0.5 of a recipe. If the original recipe calls for 3.75 cups of flour, how many cups should she use

timofeeve [1]

1.875. u take .5 times 3.75

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3 years ago