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katen-ka-za [31]
2 years ago
15

Tua wanted to teach his pet raven to count because they are very smart birds. He used various fruits and nuts to represent numbe

rs. A peanut = 1 A grape = 2 peanuts 14 is represented by an acorn and 3 grapes. An acorn is worth half a plum. What is the value in fruits and nuts, of two plums and a peanut, divided by a grape and a peanut?
Mathematics
1 answer:
Tresset [83]2 years ago
6 0

The value of two plums and a peanut, divided by a grape and a peanut is 11

<h3>How to solve the expression?</h3>

The given parameters are:

  • Peanut = 1
  • Grape = 2
  • Acorn + 3 grapes = 14
  • Acorn = 1/2 Plum

Substitute Grape = 2  in Acorn + 3 grapes = 14

Acorn + 3 *2  = 14

Acorn + 6  = 14

Subtract 6 from both sides

Acorn  = 8

Substitute Acorn  = 8 in Acorn = 1/2 Plum

8 = 1/2 Plum

Multiply both sides by 2

Plum = 16

So, we have:

Peanut = 1

Grape = 2

Acorn  = 8

Plum = 16

The value of two plums and a peanut, divided by a grape and a peanut is:

(2 plums + peanut)/(grape + peanut)

This gives

(2 * 16 + 1)/(2+ 1)

Evaluate

11

Hence, the value of two plums and a peanut, divided by a grape and a peanut is 11

Read more about expressions at:

brainly.com/question/723406


#SPJ1

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vladimir2022 [97]

Answer:

1. Null Hypothesis, H_0 : \mu \leq  70 mph

  Alternate Hypothesis<u>,</u> H_A : \mu > 70 mph

2. Value of test statistics is 2.652.

Step-by-step explanation:

We are given that Kansas Highway Patrol recorded the speed of 450 interstate vehicles and found the mean speed of 70.2 mph with standard deviation 1.6 mph.

We have to conduct a hypothesis test at significance level 0.01 to decide whether or not to reduce the money sent to Kansas.

<em><u>Let </u></em>\mu<em><u> = true mean speed of all vehicles on the Kansas interstate highway system.</u></em>

SO, <u>Null Hypothesis</u>, H_0 : \mu \leq  70 mph   {means that the federal government will not reduce the amount of funding it provides as the speed limit is less than or equal to 70 mph}

<u>Alternate Hypothesis,</u> H_A : \mu > 70 mph   {means that the federal government will reduce the amount of funding it provides as the speed limit exceed 70 mph}

The test statistics that will be used here is <u>One-sample t test statistics</u> as we don't know about the population standard deviation;

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

where, \bar X = sample mean speed limit of 450 interstate vehicles = 70.2 mph

             s = sample standard deviation = 1.6 mph

             n = sample of vehicles = 450

So, <em><u>test statistics</u></em>  =   \frac{70.2-70}{\frac{1.6}{\sqrt{450} } }  ~ t_4_4_9

                               =  2.652

<u><em>Hence, the value of test statistics is 2.652.</em></u>

5 0
3 years ago
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SVETLANKA909090 [29]

Answer:

Option (4)

Step-by-step explanation:

Let x = \sqrt[4]{7}

\sqrt[4]{7}\times \sqrt[4]{7}\times \sqrt[4]{7}\times \sqrt[4]{7} = (x)(x)(x)(x)

                                 = x^{1+1+1+1}

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Now we substitute the value x = \sqrt[4]{7}

x⁴ = (\sqrt[4]{7})^4

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Therefore, Option (4) will be the answer.

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Vikki [24]

Answer:

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Step-by-step explanation:

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6 0
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Answer:

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Step-by-step explanation:

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<h2>Answer:</h2>

A) A net is a two-dimensional pattern for a solid.

<h2>Step-by-step explanation:</h2>

In fact, a net is a two-dimensional pattern for a solid. But what is a solid? They are three-dimensional shapes. Prisms, cubes, pyramids, among others, are examples of solids. For example, the first figure below is a net because is a two dimensional patter for a pyramid which is shown in the second figure. As you can see, the first figure is a two-dimensional patter for this three-dimensional shape. Hence, by unfolding the pyramid we get the net or, in other word, by folding the net we get the pyramid.

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