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Natali [406]
3 years ago
5

Determine whether a quadratic model exists for each set of values. If so, write the model.

Mathematics
1 answer:
zvonat [6]3 years ago
6 0
 Yes, a quadratic model does exist and its equation is f(x)=4x^2
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A university researcher wants to estimate the mean number of novels that seniors read during their time in college. An exit surv
lys-0071 [83]

Answer:

Population mean = 7 ± 2.306 × \frac{2.29}{\sqrt{9} }

Step-by-step explanation:

Given - A university researcher wants to estimate the mean number

            of  novels that seniors read during their time in college. An exit

            survey was conducted with a random sample of 9 seniors. The

            sample mean was 7 novels with standard deviation 2.29 novels.

To find - Assuming that all conditions for conducting inference have

              been met, which of the following is a 94.645% confidence

              interval for the population mean number of novels read by

              all seniors?

Proof -

Given that,

Mean ,x⁻ = 7

Standard deviation, s = 2.29

Size, n = 9

Now,

Degrees of freedom = df

                                = n - 1

                                = 9 - 1

                                = 8

⇒Degrees of freedom = 8

Now,

At 94.645% confidence level

α = 1 - 94.645%

   =1 - 0.94645

  =0.05355 ≈ 0.05

⇒α = 0.5

Now,

\frac{\alpha}{2} = \frac{0.05}{2}

  = 0.025

Then,

t_{\frac{\alpha}{2}, df }  = 2.306

∴ we get

Population mean = x⁻ ± t_{\frac{\alpha}{2}, df } ×\frac{s}{\sqrt{n} }

                           = 7 ± 2.306 × \frac{2.29}{\sqrt{9} }

⇒Population mean = 7 ± 2.306 × \frac{2.29}{\sqrt{9} }

3 0
3 years ago
Read 2 more answers
Draw a model to write 30/4 as a mixed number
miss Akunina [59]
The answer will be 7 and 2 fourths
5 0
3 years ago
Read 2 more answers
4. How many lines of symmetry does a popsicle stick have?
san4es73 [151]

Answer: 2

Step-by-step explanation:

6 0
2 years ago
Read 2 more answers
What is 8j - 3k + 6 - 7j + 3k - 4 simplified
Sauron [17]

Answer:

j+2

Step-by-step explanation:

combine like terms

3k - 3k = 0

8j - 7j = 1j or j

6 - 4 = 2

put it all together

j + 2

8 0
2 years ago
Read 2 more answers
sara quiere guardar 48 manzanas y 36 duraznos en cajas con el mismo numero de frutas de cada tipo en cada caja cuantas cuantas f
coldgirl [10]

Answer:

Se requiere 12 cajas con 4 manzanas y 3 duraznos cada una.

Step-by-step explanation:

Se requiere el menor número posible de manzanas y duraznos para obtener el mayor número de cajas. Puesto que no se considera cortar fruta alguna en porciones y sabiendo que hay más manzanas que duraznos, se determina la razón mínima de manzanas por duraznos:

x = \frac{48\,manzanas}{36\,duraznos}

x = \frac{4 manzanas}{3\,duraznos}

Se requiere 4 manzanas por cada 3 duraznos. Entonces, cada caja debe contener 3 duraznos y 4 manzanas. El número máximo de cajas es:

n = \frac{48\,manzanas}{4\,\frac{manzanas}{caja} } = \frac{36\,duraznos}{3\,\frac{duraznos}{caja} }

n = 12\,cajas

Se requiere 12 cajas con 4 manzanas y 3 duraznos cada una.

7 0
3 years ago
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