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Savatey [412]
3 years ago
12

Mr. Parker asked his students to draw and label a solid figure. He gave these directions: . Use two rectangular prisms e The vol

ume should be 544 cubic centimeters Lana drew the solid figure betow. 4 cm 7 cm 5 cm 8 cm 12 cm Part A Did Lana draw a correct figure? Explain your reasoning.
Mathematics
1 answer:
Anastaziya [24]3 years ago
6 0

jkaa[kakskskawz82xb2b2jdw

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A field is a rectangle with a perimeter of 1110 feet. The length is 100 feet mora than the width. Find the width and length of t
asambeis [7]

Answer:

W: 455 ft

L :.655 ft

Step-by-step explanation:

I did the math if it's wrong I'm so sorry but I'm 99.9% sure it's right.

7 0
2 years ago
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4 0
3 years ago
At what value of x does graph of the following function f(x) have a vertical asymptote? F(x)= 1/x+3
kirill115 [55]

Answer:

A

Step-by-step explanation:

Given

f(x) = \frac{1}{x+3}

The denominator of f(x) cannot be zero as this would make f(x) undefined.

Equating the denominator to zero and solving gives the value that x cannot be and if the numerator is non zero for this value then it is a vertical asymptote.

x + 3 = 0 → x = - 3 is the vertical asymptote

7 0
3 years ago
An automobile company wants to determine the average amount of time it takes a machine to assemble a car. A sample of 40 times y
aksik [14]

Answer:

A 98% confidence interval for the mean assembly time is [21.34, 26.49] .

Step-by-step explanation:

We are given that a sample of 40 times yielded an average time of 23.92 minutes, with a sample standard deviation of 6.72 minutes.

Firstly, the pivotal quantity for finding the confidence interval for the population mean is given by;

                               P.Q. =  \frac{\bar X-\mu}{\frac{s}{\sqrt{n} } }  ~ t_n_-_1

where, \bar X = sample average time = 23.92 minutes

             s = sample standard deviation = 6.72 minutes

             n = sample of times = 40

             \mu = population mean assembly time

<em> Here for constructing a 98% confidence interval we have used a One-sample t-test statistics because we don't know about population standard deviation. </em>

<u>So, a 98% confidence interval for the population mean, </u>\mu<u> is; </u>

P(-2.426 < t_3_9 < 2.426) = 0.98  {As the critical value of z at 1%  level

                                               of significance are -2.426 & 2.426}  

P(-2.426 < \frac{\bar X-\mu}{\frac{s}{\sqrt{n} } } < 2.426) = 0.98

P( -2.426 \times {\frac{s}{\sqrt{n} } } < {\bar X-\mu} < 2.426 \times {\frac{s}{\sqrt{n} } } ) = 0.98

P( \bar X-2.426 \times {\frac{s}{\sqrt{n} } } < \mu < \bar X+2.426 \times {\frac{s}{\sqrt{n} } } ) = 0.98

<u>98% confidence interval for</u> \mu = [ \bar X-2.426 \times {\frac{s}{\sqrt{n} } } , \bar X+2.426 \times {\frac{s}{\sqrt{n} } } ]

                                     = [ 23.92-2.426 \times {\frac{6.72}{\sqrt{40} } } , 23.92+2.426 \times {\frac{6.72}{\sqrt{40} } } ]  

                                    = [21.34, 26.49]

Therefore, a 98% confidence interval for the mean assembly time is [21.34, 26.49] .

7 0
3 years ago
Which ordered pair is a solution to this equation? y = 2x + 1 A. (0, 1) B. (1, 4) C. (2, 6) D. (3, 6)
grandymaker [24]

Answer:

The answer is A

If x = 0 then y = 1

Step-by-step explanation:

6 0
3 years ago
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