All categories

3 years ago

Could you help I'm clueless

Mathematics

1 answer:

nikklg [1K]3 years ago

6 0

Answer:

j = 2s

Step-by-step explanation:

j is for juice

s is for seltzer

1j = 2s This could be simplified to j = 2s

You might be interested in

Can someone please help me with this question

dalvyx [7]

Answer:

a) 6/9 shaded.

b) About 67% is shaded. (66.6% repeating rounded to 67%)

5 0

3 years ago

What is the solution to the system of linear equations?

Rudik [331]

6x + 7y = 59...multiply by -4
4x + 5y = 41...multiply by 6

7 0

4 years ago

Read 2 more answers

What is the value of x?

Rashid [163]

Answer:

X=98°

Step-by-step explanation:

53° + 45° = 98

98-180= 82

every triangle is always equal o 180°

so... 53°+ 45°+ 82° = 180

to find x you need to subtract 82 from 180 which is 98

remember its important to find the inner degree before the outer.

7 0

3 years ago

A researcher wishes to estimate the average blood alcohol concentration (BAC) for drivers involved in fatal accidents who are f

Mnenie [13.5K]

Answer:

A 90% confidence interval for the mean BAC in fatal crashes in which the driver had a positive BAC is [0.143, 0.177] .

Step-by-step explanation:

We are given that a researcher randomly selects records from 60 such drivers in 2009 and determines the sample mean BAC to be 0.16 g/dL with a standard deviation of 0.080 g/dL.

Firstly, the pivotal quantity for finding the confidence interval for the population mean is given by;

P.Q. = $\frac{\bar X-\mu}{\frac{s}{\sqrt{n} } }$ ~ $t_n_-_1$

where, $\bar X$ = sample mean BAC = 0.16 g/dL

s = sample standard deviation = 0.080 g/dL

n = sample of drivers = 60

$\mu$ = population mean BAC in fatal crashes

Here for constructing a 90% confidence interval we have used a One-sample t-test statistics because we don't know about population standard deviation.

So, a 90% confidence interval for the population mean, $\mu$ is;

P(-1.672 < $t_5_9$ < 1.672) = 0.90 {As the critical value of t at 59 degrees of

freedom are -1.672 & 1.672 with P = 5%} P(-1.672 < $\frac{\bar X-\mu}{\frac{s}{\sqrt{n} } }$ < 1.672) = 0.90

P( $-1.672 \times {\frac{s}{\sqrt{n} } }$ < ${\bar X-\mu}$ < $1.672 \times {\frac{s}{\sqrt{n} } }$ ) = 0.90

P( $\bar X-1.672 \times {\frac{s}{\sqrt{n} } }$ < $\mu$ < $\bar X+1.672 \times {\frac{s}{\sqrt{n} } }$ ) = 0.90

90% confidence interval for $\mu$ = [ $\bar X-1.672 \times {\frac{s}{\sqrt{n} } }$ , $\bar X+1.672 \times {\frac{s}{\sqrt{n} } }$ ]

= [ $0.16-1.672 \times {\frac{0.08}{\sqrt{60} } }$ , $0.16+1.672 \times {\frac{0.08}{\sqrt{60} } }$ ]

= [0.143, 0.177]

Therefore, a 90% confidence interval for the mean BAC in fatal crashes in which the driver had a positive BAC is [0.143, 0.177] .

7 0

3 years ago

These roots of the polynomial equation x^4-4x^3-2x^2+12x+9=0 are 3,-1,-1. Explain why the fourth root must be a real number. Fin

Alex787 [66]

Roots with imaginary parts always occur in conjugate pairs. Three of the four roots are known and they are all real, which means the fourth root must also be real.

Because we know 3 and -1 (multiplicity 2) are both roots, the last root $r$ is such that we can write

$x^4-4x^3-2x^2+12x+9=(x-3)(x+1)^2(x-r)$

There are a few ways we can go about finding $r$ , but the easiest way would be to consider only the constant term in the expansion of the right hand side. We don't have to actually compute the expansion, because we know by properties of multiplication that the constant term will be $(-3)(1)(1)(-r)=3r$ .

Meanwhile, on the left hand side, we see the constant term is supposed to be 9, which means we have

$3r=9\implies r=3$

so the missing root is 3.

Other things we could have tried that spring to mind:

- three rounds of division, dividing the quartic polynomial by $(x-3)$ , then by $(x+1)$ twice, and noting that the remainder upon each division should be 0

- rational root theorem

4 0

3 years ago

Read 2 more answers

Could you help I'm clueless​

Could you help I'm clueless