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Stella [2.4K]
3 years ago
13

Please answer the following:

Mathematics
1 answer:
Mnenie [13.5K]3 years ago
7 0

Answer:

Conner's work is correct

Jana's work is incorrect

Step-by-step explanation:

Explanation: While Multiplying, exponents of the same bases gets added and not multiplied.

Here, CONNOR HAS ADDED THE EXPONENTS WHEREAS JANA HAS MULTIPLIED THE EXPONENTS.

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Find the values of the pronumerals in this diagram. Write down the reason in each case.
timofeeve [1]

Answer:

see explanation

Step-by-step explanation:

a and 85 form a straight angle and are supplementary, thus

a + 85 = 180 ( subtract 85 from both sides )

a = 95

b and 85 are vertical angles and are congruent, thus

b = 85

c and 85 are corresponding angles and congruent, thus

c = 85

c and d are vertical angles and congruent, thus

d = 85

In conclusion

a = 95, b = 85, c = 85, d = 85

5 0
2 years ago
Make an approximate conversion from English to metric. <br><br> 9 ft to meters
Anna71 [15]

Answer:

2.7 meters

Step-by-step explanation:

I hope this helped

4 0
3 years ago
Plot point C(2,7). If M is the midpoint of CD , what are the coordinates of D?
Y_Kistochka [10]

Answer:

The coordinates of D is (-4,-9)

Step-by-step explanation:

Given

C = (2,7)

<em>M=(-1,-1)  ----- Missing part of question</em>

Required

Determine the coordinates of D

<em>Let the coordinates of D be (x₂,y₂)</em>

<em>We'll solve this question using mid point formula;</em>

<em></em>M(x,y) = (\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})<em></em>

<em>Where</em>

C(x_1,y_1) = (2,7)    and     M(x,y) = (-1,-1)

Put these values in the formula

(-1,-1) = (\frac{2+x_2}{2},\frac{7+y_2}{2})

By comparison;

-1 = \frac{2+x_2}{2}  and -1 = \frac{7+y_2}{2}

-1 = \frac{2+x_2}{2}

Multiply both sides by 2

-2 = 2 + x_2

Subtract 2 from both sides

-2 -2 = x_2

x_2 = -4

-1 = \frac{7+y_2}{2}

Multiply both sides by 2

-2 = 7 + y_2

Subtract 7 from both sides

-2 - 7 = y_2

y_2 = -9

<em>Hence, the coordinates of D is (-4,-9)</em>

4 0
3 years ago
8+a=21 plssssssssssssszzzz​
attashe74 [19]

Answer:

13

Step-by-step explanation:

because a is the missing number. Well, 21 minus or -  8 is equal to 13.

8 0
3 years ago
Intravenous fluid bags are filled by an automated filling machine. Assume that the fill volumes of the bags are independent, nor
kenny6666 [7]

Answer:

a) 0.0167

b) 0

c) 5.948

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 6.16 ounces

Standard Deviation, σ = 0.08 ounces

We are given that the distribution of fill volumes of bags is a bell shaped distribution that is a normal distribution.

Formula:

z_{score} = \displaystyle\frac{x-\mu}{\sigma}

a) Standard deviation of 23 bags

\displaystyle\frac{S.D}{\sqrt{23}} = \frac{0.08}{\sqrt{23}} = 0.0167

b) P( fill volume of 23 bags is below 5.95 ounces)

P(x < 5.95)

P( x < 5.96) = P( z < \displaystyle\frac{5.95 - 6.16}{0.0167}) = P(z < -12.57)

= 1 - P(z < 12.57)

Calculation the value from standard normal z table, we have,  

P(x < 5.95) = 1 - 1 = 0

c) P( fill volume of 23 bags is below 6 ounces)  = 0.001

P(x < 6)  = 0.001

P( x < 6) = P( z < \displaystyle\frac{6 - \mu}{0.0167})

Calculation the value from standard normal z table, we have,  

P( z \leq -3.09) = 0.001

\displaystyle\frac{6 - \mu}{0.0167} = -3.09\\\\\mu = 6 + (0.0167\times -3.09) = 5.948

If the mean will be 5.948 then the probability that the average of 23 bags is below 6.1 ounces is 0.001.

7 0
3 years ago
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