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2 years ago

:) stay safe out there

Mathematics

1 answer:

Alchen [17]2 years ago

7 0

Answer:

Step-by-step explanation:

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Whats 23/4 as a mixed fraction?

Misha Larkins [42]

The Answer is:
5 and 3/4

4 0

3 years ago

The figure shows a cylinder of diameter 12cm and height = 15cm. A hole in the shape of cone is bored into one of its end. If the

Lisa [10]

Answer:

$\bold{495\pi} \approx \bold{1555.088 cm^3}$

Step-by-step explanation:

There was no figure but the question is clear

Volume of a cylinder is given by the formula $\bold{\pi r^2h}\\$

where r is radius of base of cylinder, h is the height

Volume of a cone is given by $\bold{\frac{1}{3} \pi r^2 h}$

where r is the radius of base of cone, h is the height

The radius of the cylinder = $\frac{1}{2}$ (diameter) = $\frac{1}{2}$ (12) = 6cm

Height of cylinder = 15cm

Volume of cylinder $V_{cyl} = \pi (6)^2 15 = \pi (36)15 = \bold{540\pi}$

Radius of cone = $\frac{1}{2}$ (radius of cylinder) = $\frac{1}{2}$ (6) = 3 cm

Height of cone same as height of cylinder = 15cm

Volume of cone, $V_{cone} = \frac{1}{3}\pi r^2 h = \frac{1}{3}\pi (3)^2 15 = \frac{1}{3}(9)15\pi = \bold{45\pi}\\$

Difference is the volume of the remaining solid

$V_{cyl} - V_{cone} = 540\pi - 45\pi = \bold{495\pi} \approx \bold{1555.088 cm^3}$

5 0

1 year ago

-2y^2-19y+33 trail and error

Alexandra [31]

Answer: (-2y+3)(y+11)

Step-by-step explanation:

33 is 3×11 so expect something like

(y+3)(y+11) = y^2+14y+33

leading term has coefficient -2 so

one factor is like (-2y+__)

Try (-2y+3)(y+11) = -2y^2-19y+33

which happens to be the answer

7 0

3 years ago

One of your friends is testing the effect of drinking coffee on the duration of cold symptoms. The common cold lasts, on average

Goshia [24]

Answer: 0.0930

Step-by-step explanation:

As per given , we have

H0: μcoffee = 6

Ha: μcoffee < 6

She finds z = −1.68 with one-sided P-value P = 0.0465.

The P-value for two-tailed test is calculated by :

$2P(Z>|z|)$

For z= -1.68 , we have

$2P(Z>|-1.68|)=2P(Z>1.68)$

$=2(1-P(z\leq1.68))\ \ [\because\ P(Z>z)=1-P(Z\leq z)]$

$=2(1-0.9535213)\ \ \ [\text{ NORM.S.DIST(z, TRUE}]\\\\=2( 0.0464787)=0.0929573\approx0.0930$

Hence, the correct two-sided P-value for z = −1.68 is 0.0930 .

3 0

3 years ago

. If y varies directly with x, and y = -35 and x=7, what is x when y = -85?

sertanlavr [38]

Answer:

x = 17

Step-by-step explanation:

Direct variation is given by

y = kx where k is the constant of variation

-35 = k*7

-35/7 = k

-5 = k

y = -5x

We know y = -85

-85 = -5x

Divide each side by -5

-85/-5 = x

17 =x

3 0

3 years ago