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Vitek1552 [10]
3 years ago
15

A gazelle runs 780 feet in 12 seconds. Angela wants to determine how far a gazelle could run in 1 minute at this rate. Explain h

ow to use equivalent fractions to find the distance a gazelle could run in 1 minute. Then write the equivalent fractions.
Mathematics
1 answer:
Hitman42 [59]3 years ago
4 0

Answer:

In 1 min a gazelle runs 3,900 ft.

As a fraction, 1/65

In order to find the solution to this problem you could use a table.

Since we are using seconds we have to convert the 1 min = 60 seconds.

<u>Sec</u><u>   |  12    |    60</u>

<u>Fts</u><u>    |  780  |    x  </u>

12 goes into 60 5 times, so we have to multiply 780 by 5 which gives us 3900.

x=3900

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The measure of the vertex angle of an isosceles triangle is 92. Find the measure of a base angle
Andrej [43]

Answer:

44°

Step-by-step explanation:

The sum of the angles in a triangle = 180°

In an isosceles triangle the base angles are equal, thus

base angle = \frac{180-92}{2} = \frac{88}{2} = 44°

6 0
3 years ago
In order for the function to be linear, what must a be and why?​
pochemuha

Answer:

213

Step-by-step explanation:

213

8 0
3 years ago
Help&amp;EXPLAIN <br><br> Don’t use for points or I’ll take it back and report
Marrrta [24]

Answer:

Step-by-step explanation:

The sum of angles in a triangle is 180 degrees. So the third angle in the triangle is

90+32+a=180

a+122=180

a=58

Now angle x is adjacent to angle a so their sum must equal 180 degrees so

x+58=180

x=122 degrees

3 0
3 years ago
In 1943​, an organization surveyed 1100 adults and​ asked, "Are you a total abstainer​ from, or do you on occasion​ consume, alc
Fynjy0 [20]

Answer:

We conclude that the proportion of adults who totally abstain from alcohol​ has changed.

Step-by-step explanation:

We are given that in 1943​, an organization surveyed 1100 adults and​ asked, "Are you a total abstainer​ from, or do you on occasion​ consume, alcoholic​ beverages?"

Of the 1100 adults​ surveyed, 429 indicated that they were total abstainers. In a recent​ survey, the same question was asked of 1100 adults and 352 in

<u><em>Let p = proportion of adults who totally abstain from alcohol.</em></u>

where, p = \frac{429}{1100} = 0.39

So, Null Hypothesis, H_0 : p = 39%      {means that the proportion of adults who totally abstain from alcohol​ has not changed}

Alternate Hypothesis, H_A : p \neq 39%      {means that the proportion of adults who totally abstain from alcohol​ has changed}

The test statistics that would be used here <u>One-sample z proportion statistics</u>;

                    T.S. =  \frac{\hat p-p}{\sqrt{\frac{\hat p(1-\hat p)}{n} } }  ~ N(0,1)

where, \hat p = sample proportion of adults who totally abstain from alcohol = \frac{352}{1100} = 0.32

           n = sample of adults surveyed = 1100

So, <u><em>test statistics</em></u>  =  \frac{0.32-0.39}{\sqrt{\frac{0.32(1-0.32)}{1100} } }  

                              =  -4.976

The value of z test statistics is -4.976.

<em>Now, at 0.10 significance level the z table gives critical values of -1.645 and 1.645 for two-tailed test.</em><em> </em>

<em>Since our test statistics doesn't lie within the range of  critical values of z, so we have sufficient evidence to reject our null hypothesis as it will fall in the rejection region due to which </em><em><u>we reject our null hypothesis</u></em><em>.</em>

Therefore, we conclude that the proportion of adults who totally abstain from alcohol​ has changed.

4 0
3 years ago
Please help on one math question
kipiarov [429]

Hello from MrBillDoesMath!

Answer:

225

Discussion:

Sum ( 2n - 1)                  from  n = 1 to 15              

= Sum(2n) - Sum(1)        from n = 1 to 15

= 2 Sum(n) - Sum(1)       from n = 1 to 15

= 2* 15(15+1)/2  - (1 + 1 + .. + 1)

The first value comes from the fact that the sum of the first n integers is  n(n+1)/2. The latter value sums 15 1's.

= 2 * 15 * 16/2 - 15                    => 2/2 = 1

= 15*16 - 15                               => 15*16 = 240

= 240 - 15

= 225

Thank you,

MrB

6 0
3 years ago
Read 2 more answers
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