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klio [65]
3 years ago
7

Can somebody please solve this and explain it with steps?

Mathematics
1 answer:
Rina8888 [55]3 years ago
5 0
The lateral surface area consists of 2 sides with 11 unit long and 4 unit high, and 2 sides with 8 unit long and 4 unit high. Each side is a rectangle. So basically you use area of rectangle to determine the lateral surface area
lat sa = 2 × area of rectangle + 2 × area of rectangle

In this case, it will be
lat sa = (2 × l × h) + (2 × w × h)
lat sa = (2 × 11 × 4) + (2 × 8 × 4)
lat sa = 88 + 64
lat sa = 152

The lateral surface area is 152 squares unit
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Identify the type of hypothesis test below. H0:X=10.2, Ha:X>10.2 Select the correct answer below: The hypothesis test is two-
Ganezh [65]

Answer:

The hypothesis test is right-tailed

Step-by-step explanation:

To identify a one tailed test, the claim in the case study tests for the either of the two options of greater or less than the mean value in the null hypothesis.

While for a two tailed test, the claim always test for both options: greater and less than the mean value.

Thus given this: H0:X=10.2, Ha:X>10.2, there is only the option of > in the alternative claim thus it is a one tailed hypothesis test and right tailed.

A test with the greater than option is right tailed while that with the less than option is left tailed.

4 0
3 years ago
Martina starting playing video games as soon as she got home from school. She played video games for 15 minutes. Then Martina he
VLD [36.1K]

Answer:

3:30PM

Step-by-step explanation:

Martina starting playing video games as soon as she got home from school. She played video games for 15 minutes. Then Martina helped clean the kitchen for 45 minutes. After the kitchen was clean, it took Martina 15 minutes to finish her homework. When Martina finished her homework, it was 4:45 P.M. What time did Martina get home from school?

Step 1

We add up the minutes it took her to do things

= Minutes for video games + Minutes for cleaning the kitchen + Minutes for doing homework

= 15 minutes + 45 minutes + 15 minutes

= 75 minutes

= 1 hour 15 minutes

Step 2

When Martina finished her homework, it was 4:45 P.M. What time did Martina get home from school?

This is calculated be subtracting 1 hour 15 minutes from 4:45 PM

= 4:45 PM - 1 : 15

= 3:30PM

Therefore, Martha got home from school by 3:30 PM

3 0
3 years ago
64, –48, 36, –27, ...<br><br> Which formula can be used to describe the sequence?
nordsb [41]

Answer:

\boxed{a_n \:  =  \: 64 \:  \times  \: ( -  \frac{3}{4} ) ^{n \:  -  \: 1} }

Step-by-step explanation:

  • We first compute the ratio of this geometric sequence.

r \:  =  \:  \frac{ - 48}{64}  \\  \\ r   \:  =  \:  \frac{36}{ - 48}  \\  \\  r \:  =  \:  \frac{ - 27}{36}

  • We simplify the fractions:

r \:  =  \:   -  \frac{3 }{4}   \\  \\ r   \:  =  \:   -  \frac{3 }{4}  \\  \\  r \:  =  \:    -  \frac{3 }{4}

  • We deduce that it is the common ratio because it is the same between each pair.

r \:  =  \:  -  \frac{3 }{4}

  • We use the first term and the common ratio to describe the equation:

a_1 \:  =  \: 64; \: r \:  =  \:  -  \frac{3 }{4}

<h3>We apply the data in this formula:</h3>

\boxed{a_n \:  =  \: a_1 \:   \times  \:  {r}^{ n \:  -  \: 1} }

_______________________

<h3>We apply:</h3>

\boxed {\bold{a_n \:  =  \: 64 \:   \times  \:  {( -  \frac{3}{4} )}^{ n \:  -  \: 1} }}

<u>Data</u>: The unknown "n" is the term you want

<h3><em><u>MissSpanish</u></em></h3>
4 0
2 years ago
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