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masha68 [24]
3 years ago
14

Calculate the Average of...

Mathematics
2 answers:
Leno4ka [110]3 years ago
6 0
The average of a group of numbers can be found by dividing their sum by the size of the group. In this case, each problem involves two numbers, so the pair would be added and then halved.

a. 3 + 43 = 46
46 / 2 = 23
b. (-7.5) + 7.5 = 0
0 / 2 = 0
c. (-8) + 7 = (-1)
(-1) / 2 = (-1/2)
lesantik [10]3 years ago
3 0
You add them and then divide by how many numbers there are.

a. (3+43)/2 = 23
b. 0
c. -1
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3 years ago
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A tennis ball travels at a speed of 120 miles per hour. what is the rate in feet per second?​
LUCKY_DIMON [66]

Answer:176

Step-by-step explanation:

7 0
3 years ago
Pablo simplified the expression (2 Superscript negative 4 Baseline) Superscript negative 2 as shown.
Lady_Fox [76]

Answer:

<h3>He should have found 8 as the exponent, not –8.</h3>

Step-by-step explanation:

Given the expression simplified by Pablo as (2^{-4})^{-2}

On simplification we have;

According to one of the law of indices (a^{m})^{n} = a^{mn}

Applying this law to the question will give;

(2^{-4})^{-2}\\=2^{-4*-2}  \\\= 2^{8}

Based on the calculation above, the exponent of 2 is 8 which means that Pablo should have found 8 as the exponent, not –8.

7 0
3 years ago
Mrs. Barnett has 5 cups of sugar. A batch of cookies uses 1/3 cup of sugar.
MakcuM [25]

Answer:

15 batches of cookies

Step-by-step explanation:

We need to find out how many third cups do into 5 cups. We can do this by 5 ÷ 1/3

When dividing fractions, use KFC:

  • Keep the first fraction the same
  • Flip the second fraction
  • Change the sign from ÷ to ×

Therefore, 5 ÷ 1/3 = 5 × 3/1 which is 15 batches of cookies

Hope this helps!

7 0
2 years ago
The makers of a smartphone have received complaints that the face recognition tool often doesn't work, or takes multiple attempt
cupoosta [38]

Answer:

Step-by-step explanation:

This is a test of 2 population proportions. Let 1 and 2 be the subscript for the new version and the old version. The population proportion of the time that the tool works for the new and old version would be p1 and p2 respectively.

p1 - p2 = difference in the proportion of the times that the tool works for the new and old version

The null hypothesis is

H0 : p1 = p2

p1 - p2 = 0

The alternative hypothesis is

H1 : p1 > p2

p1 - p2 > 0

it is a right tailed test

Sample proportion = x/n

Where

x represents number of success

n represents number of samples

For new version

p1 = 70/100 = 0.7

n1 = 80

x1 = n1p1 = 80 × 0.7 = 56

For old version,

p2 = 56/100 = 0.56

n2 = 75

x2 = n2p2 = 75 × 0.56 = 42

The pooled proportion, pc is

pc = (x1 + x2)/(n1 + n2)

pc = (56 + 42)/(80 + 75) = 0.63

1 - pc = 1 - 0.63 = 0.37

z = (p1 - p2)/√pc(1 - pc)(1/n1 + 1/n2)

z = (0.7 - 0.56)/√(0.63)(0.37)(1/80 + 1/75) = 0.14/0.07759993557

z = 1.8

Since it is a right tailed test, we will look at the area to the right of the z score on the normal distribution table to determine the p value. Therefore,

p = 1 - 0.9641 = 0.04

By using the p value,

Since 0.1 > 0.04, we would reject the null hypothesis. Therefore, at a significance level of 0.1, it can be concluded that the new version is performing better.

7 0
3 years ago
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