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ioda
2 years ago
13

You are 330 from home and you are driving home and you are driving toward home at an average of 55mph. Wr Try and equation to re

present the situation and find the domain and range of the function
Mathematics
1 answer:
DochEvi [55]2 years ago
8 0
Wouldn't that be 330 miles?  Units are important.

Let d represent your distance from home.  At the beginning you're 330 miles away, driving home at 55 mph (average).  If x represents the number of hours you've driven, then

d(x) = 330 miles - (55 mph)x
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(1.5×10^3)+(2.5×10^2) in standard form​
Tcecarenko [31]

Answer: 2.65·10^-2

Step-by-step explanation. : 1.5·10^-3= 0.0015 and 2.5·10^-2= 0.025.

Sum is 0.0265

7 0
3 years ago
A spherical boulder is 18 ft in diameter and weighs almost 8 tons. Find the volume. Use 3.14 for piπ.
vampirchik [111]

Answer:

Volume, V=3052.08\ ft^3

Step-by-step explanation:

It is given that,

Diameter of spherical boulder is 18 ft

Weight of spherical boulder is 8 tons.

We need to find the volume of spherical boulder. The formula of the volume of sphere is given by :

V=\dfrac{4}{3}\pi r^3

r is radius of spherical boulder, r = 9 ft

Substituting all values in above formula :

V=\dfrac{4}{3}\times 3.14\times (9)^3\\\\V=3052.08\ ft^3

The volume of spherical boulder is 3052.08\ ft^3.

7 0
3 years ago
In the flowering plant, white flowers (B) are dominant over red flowers (b), and short plants (E) are dominant over tall flower
lutik1710 [3]

<u>Question Completion</u>

(a)What is your null hypothesis?

(b)What is your expected phenotypic ratio based on Mendelian inheritance?

(c)Calculate the expected number of flowers you should have gotten based on the Mendelian inheritance. Then calculate a chi-square value, degrees of freedom, and a p-value.

  • Chi-square statistic: _____
  • Degrees of freedom (# phenotypes -1):
  • P-value:

(d)Interpret your results. Do you reject it or fail to reject your null hypothesis (please restate the null)?

Answer:

(a)H_0:$The given data fit the predicted phenotype

(b)9:3:3:1

(c)

  • Chi-square statistic: 3.8914
  • Degrees of freedom (# phenotypes -1) =3
  • P-value:  0.2734

(d)We fail to reject the null hypothesis.

Step-by-step explanation:

In the flowering plant, white flowers (B) are dominant over red flowers (b), and short plants (E) are dominant over tall flowers (e). An F2 generation was created by crossing two F1 individuals (each BbEe).

(a)The null hypothesis is:

H_0:$The given data fit the predicted phenotype

(b)The gametes are BE, Be, bE and be.

The offsprings are presented in the table below:

\left|\begin{array}{c|cccc}&BE&Be&bE&be\\--&--&--&--&--\\BE&BE&BE&BE&BE\\Be&BE&Be&BE&Be\\bE&BE&BE&bE&bE\\be&BE&Be&bE&be\end{array}\right|

The expected phenotypic ratio based on Mendelian inheritance

BE:Be:bE:be=9:3:3:1

(c)

\left|\begin{array}{c|c|c|c|c|c}$Phenotype&Observed&$Expected&O-E&(O-E)^2&\dfrac{(O-E)^2}{E} \\-----&--&--&--&--&--\\$White short(BE)&206&\frac{9}{16}*404 \approx 227 &-21&441&1.9427\\$Red, short(bE)&83&\frac{3}{16}*404 \approx 78 &5&25&0.3205\\$White, tall(Be)&85&\frac{3}{16}*404 \approx 78 &7&49&0.6282\\$Red, tall(be)&30&\frac{1}{16}*404 \approx 25 &5&25&1\\-----&--&--&--&--&--\\$Total&404&--&--&--&3.8914\end{array}\right|

Therefore:

  • Chi-square statistic: 3.8914
  • Degrees of freedom (# phenotypes -1):  4-1 =3
  • P-value:  0.2734

(d) Our null hypothesis is:

H_0:$The given data fit the predicted phenotype

Since p>0.05, the given data fit the predicted phenotypic ratio.

We, therefore, fail to reject the null hypothesis.

The difference in the observed and expected are sosmall that they can be attributed to random chance.

8 0
3 years ago
Which system of equations represents the matrix shown below?
weqwewe [10]

Answer:

I don't know how to do it...

7 0
2 years ago
Read 2 more answers
Oliver had m dollars to spend on a backpack for the new school year. The expression below represents the amount of money he had
xxMikexx [17]

Answer:

Option A

Step-by-step explanation:

Y is the amount of back pack

The total amount is represented by m

If Y is the cost of back pack purchased by Oliver, then 0.7 Y is the tax applicable on the purchase of back pack

Hence, the remaining cost would be total amount with Oliver minus the cost of back pack and the tax applicable on the purchase of back pack

Remaining cost  = m - (y + 0.07y)

Hence, option A is correct

6 0
2 years ago
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