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STALIN [3.7K]
3 years ago
9

Seth bought a 12 ounce jar of peanut butter for $ 3.60. What is the unit price?

Mathematics
1 answer:
svetlana [45]3 years ago
7 0

Answer:

30

Step-by-step explanation:

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Heights​ (cm) and weights​ (kg) are measured for 100 randomly selected adult​ males, and range from heights of 133 to 193 cm and
yawa3891 [41]

Answer:

The weight of an adult male who is 172 cm tall is 89.36 kg.

Step-by-step explanation:

The regression equation representing the relationship between height and weight of a person is:

\hat y=-105+1.13x

Here

<em>y</em> = weight of a person

<em>x</em> = height of a person

The information provided is:

\bar x=167.90\ cm\\\bar y=81.47\ kg\\r (X, Y) = 0.228\\p-value=0.023\\\alpha =0.05

The hypothesis to test the significance of the correlation between height and weight is:

<em>H₀</em>: There is no relationship between the height and weight, i.e. <em>ρ</em> = 0.

<em>Hₐ</em>: There is a relationship between the height and weight, i.e. <em>ρ </em>≠ 0.

Decision rule:

If the <em>p</em>-value of the test is less than the significance level, then the null hypothesis will be rejected and vice-versa.

According to information provided:

<em>p</em>-value = 0.023 < <em>α</em> = 0.05

The null hypothesis was rejected at 5% level of significance.

Thus, concluding that there is a relationship between the height and weight.

Compute the weight of an adult male with height, <em>x</em> = 172 cm as follows:

\hat y=-105+1.13x

  =-105+(1.13\times 172)\\=-105+194.36\\=89.36

Thus, the weight of an adult male who is 172 cm tall is 89.36 kg.

5 0
3 years ago
You randomly pick two numbers from 1 to 9 (including 1 and 9). A number that is chosen once could be chosen again. If at least o
Mnenie [13.5K]
Assume that you only include whole numbers (1,2,3,4,5,6,7,8,9) and not 3.5 and such
so if 1 is odd and less than 5 then it is
1 or 3, since 5 isn't included
then the other number, to be less than 5 when added,
must be
1+x<5
3+x<5
solve each
1+x<5
subtract 1
x<4
set of answers are 1,2,3

3+x<5
subtract 3
x<2
set of answer is 1
so the possible numbers are
1,2,3
that is 3 numbesr out of 9 so
probability=(total desired outcomes)/(total possible outcomes) so
disred outcomes=3
total possible=9
3/9=1/3
the probabiltiy is 1/3
7 0
3 years ago
An artist mixes yellow an blue paint to make the perfect shade of green. she uses 2 ounces of blue paint for every 7 ounces of y
Julli [10]

Answer:

14 ounces of blue paint

Step-by-step explanation:

The ratio of blue to yellow is 2:7

To solve this problem we can make a proportion:

2/7=x/49

the numerator represents the blue paint, the denominator represents the yellow paint

To solve the proportion you have to cross multiply:

2*49=7*x

x=14

She needs to add 14 oz of blue paint

I hope this helps :)

6 0
2 years ago
A cube has volume 216cm find total surface area of cube​
Katena32 [7]

Answer:

Answer: 216 cm2 (square centimetres cm^{2}, in your question you had to put cm3, cubic centimetres, it's IMPORTANT )

Step-by-step explanation:

A perfect cube by definition has 3 equal dimensions, as an immediate rule: volume and total surface are equal, only the unit of measure changes (cubic for the volume, square for surface).

But let's calculate it anyway:

Volume  = Edge * Edge * Edge = length * width * depth = Edge^{3}  (remember: all edges are equal in this case)

so Edge = \sqrt[3]{Volume}

in your example Edge = \sqrt[3]{216} = 6cm

So the surface of one side is 6*6 = 36cm^{2}

There are 6 sides in total, so the total surface is 6*36 = 216 cm^{2}

Note: I call them "edges" but in case of a cube most say just "length"

3 0
3 years ago
35=7x. please help me fasttt
AlladinOne [14]

Answer:

x=5

Step-by-step explanation:

35 divided by 7 is 5, so in that case, 7 times 5 is 35.

3 0
3 years ago
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