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padilas [110]
3 years ago
9

Factor completely: 21a+27

Mathematics
1 answer:
Lina20 [59]3 years ago
8 0

Answer:

3(7a + 9)

Step-by-step explanation:

21a + 27

3(7a + 9)

When you expand

3 x 7a + 3 x 9

21a + 27

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The owner of a fish market has an assistant who has determined that the weights of catfish are normally​ distributed, with mean
LiRa [457]

Answer:

P(X\geq 3.4)=0.0228

Step-by-step explanation:

Given the mean is 3.2, standard deviation is 0.8 and the sample size is 64.

-We calculate the  probability of a mean of 3.4 as follows:

#First determine the z-value:

z=\frac{\bar X -\mu}{\sigma/\sqrt{n}}\\\\=\frac{3.4-3.2}{0.8/\sqrt{64}}\\\\=2.000

#We then determine the corresponding probability on the z tables:

Z(X\geq 3.4)=1-P(X

Hence, the probability of obtaining a sample mean this large or​ larger is 0.0228

8 0
2 years ago
Daniella made gift bows from 8 yards of ribbon. The bows are all the same size. If she made 16 bows, how much ribbon did she use
solniwko [45]

Answer:

1.5 feet

Step-by-step explanation:

there are three feet in a yard, so 8*3= 24, and 24/16=1.5 feet of ribbon used for each bow

4 0
3 years ago
Geometry (10th grade ) Circles<br> 7 POINTS<br> How do I solve this ?
klasskru [66]
I think it’s 65 sorry if it’s wrong
7 0
3 years ago
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What is the inverse of the function h(x)=\dfrac{5}{2}x+4h(x)= 2 5 ​ x+4h, left parenthesis, x, right parenthesis, equals, start
Phantasy [73]

Answer:

The inverse of the function h(x) is h^{-1}(x)=\frac{2}{5}x-\frac{8}{5}.

Step-by-step explanation:

The given function is

h(x)=\dfrac{5}{2}x+4

Replace h(x) by y.

y=\dfrac{5}{2}x+4

Interchange x and y.

x=\dfrac{5}{2}y+4

Subtract 4 from both sides to isolate variable y,

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Divide both sides by 5.

\frac{2}{5}x-\frac{8}{5}=y

Replace y by h⁻¹(x).

h^{-1}(x)=\frac{2}{5}x-\frac{8}{5}

Therefore the inverse of the function h(x) is h^{-1}(x)=\frac{2}{5}x-\frac{8}{5}.

6 0
3 years ago
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3. Show how √5 can be represented on the number line.​
asambeis [7]

Answer:

Take a line segment AB = 2 units (consider 1 unit = 2 cm) on x-axis.

Draw a perpendicular on B and construct a line BC = 1 unit length.

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The line segment AC represents √5 unit

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3 years ago
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