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3 years ago

Alicia wants to bake a cake with ⁹/10 grams of flour.However,she only has ⅓ grams of flour she needs.How much does she have?

Mathematics

1 answer:

natali 33 [55]3 years ago

6 0

Answer:

We know that:

She needs 9/10 grams of flour for the cake (this quantity does not make a lot of sense, maybe is written incorrectly, but is the only info we have, so let's solve the problem with this)

She only has 1/3 of the amount she needs.

How much flour does she have?

Well, she needs 9/10 grams, and she has one-third of that.

Then she has (1/3) times (9/10) grams, this is:

F = (1/3)*(9/10) grams

F = (1*9)/(3*10) grams

F = 9/30 grams

That is the amount of flour that she has.

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Use the quadratic formula to solve x2 – 5x + 3 = 0.

Anit [1.1K]

Answer:

x is 4.30 and 0.697

Step-by-step explanation:

Quadratic formular:

$x = \frac{ - b± \sqrt{ {b}^{2} - 4ac } }{2a} \\$

a » 1

b » -5

c » 3

$x = \frac{ - ( - 5)± \sqrt{ {( - 5)}^{2} - (4 \times 1 \times 3)} }{(2 \times 1)} \\ \\ x = \frac{5± \sqrt{13} }{2}$

Therefore, values of x :

$x = \frac{5 + \sqrt{13} }{2} \: \: and \: \: \frac{5 - \sqrt{13} }{2} \\ \\ x = 4.30 \: \: and \: \: 0.697$

7 0

3 years ago

A point that is between 50 and 60 units away from (7,-2) and state the distance between the points

Inessa05 [86]

Answer:

the distance formula is just the pythagorean theorem, A^2+B^2=C^2, or the distance, C=sqrt(A^2+B^2). In order to find any point between 50 and 60 units away, simply choose a set of coordinates that will satisfy the equation using the given point, (7, -2), where abs(7-x) is A and abs(y-2) is B. for example, let x =60 and y=0, then C=sqrt(53^2+(-2)^2) =52.96 ish. which is between 50 and 60.

Step-by-step explanation:

7 0

3 years ago

in 2010 the population of rhode island was approximately 1053000. if the population decrease was 0.3% find the population of rho

maks197457 [2]

1049841 1053000x.003=3159 1053000-3159=1049841

4 0

3 years ago

Sasha’s daily tips this work week were $43, $32, $65, $88, $50, and $72. Is Sasha correct in thinking that the mean accurately r

mezya [45]

Answer:

Yes, Sasha is correct. The mean amount she makes is $58.33 in a day.

Step-by-step explanation:

Given that Sasha’s daily tips this work week were $43, $32, $65, $88, $50, and $72

Let us arrange in ascending order

32, 43,50,65,72,88

There are 6 entries hence 3rd and 4th are middle entries

Median = (50+65)/2=115/2=57.5

Sum of all entries = 350

No of entries =6

Mean amount = average = sum/6

=350/6

=58.33

Hence mean = 58.33

Out of 4 options we get I option only right

Yes, Sasha is correct. The mean amount she makes is $58.33 in a day.

8 0

3 years ago

Data collected over time on the utilization of a computer core (as a proportion of the total capacity) were found to possess a r

Marianna [84]

Answer:

The probability that the proportion of the core being used at any particular time will be less than 0.10 is 0.08146

Step-by-step explanation:

$\mu =\frac{\alpha }{\alpha +\beta } = \frac{1}{1 + \frac{\beta}{\alpha} }$ 1/3 0.33 = 33.33 %

The Probability of that the proportion of the core being used at any particular time will be less than 0.10 is given by

PDF = $\frac{x^{\alpha -1} (1-x)^{\beta -1} }{\int\limits^1_0 {u^{\alpha -1} (1-u)^{\beta -1}} \, du }$

where x = 0.1

α = 2 and β = 4

PDF = $\frac{0.0729 }{\int\limits^1_0 {u^{\alpha -1} (1-u)^{\beta -1}} \, du }$ = 1.458

CDF = $\frac{\int\limits^{0.1}_0 {t^{\alpha -1} (1-t)^{\beta -1}} \, du }{\int\limits^1_0 {u^{\alpha -1} (1-u)^{\beta -1}} \, du }$ = 0.08146

The probability that the proportion of the core being used at any particular time will be less than 0.10 = 0.08146.

3 0

4 years ago