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iogann1982 [59]

2 years ago

9

Y is directly proportional to x2 If y = 12 when X = 2 find X when y = 300

2 answers:

diamong [38]2 years ago

7 0

3djbdbdndjdbdbhdndnd

Trava [24]2 years ago

4 0

80 I hope this helps

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Evaluate the function f(x)=3x-7if x=6

notka56 [123]

Answer:

if x=6, then f(6)=11

8 0

3 years ago

Read 2 more answers

A bird traveled 4 miles north before stopping to rest. The bird then flew 2,640 yards south in search of food. Finally, it flew

ra1l [238]

7 and 1/2 mile because 2,640=1.5 miles
4-1.5=2.5+5=7.5

8 0

2 years ago

A spinner has 12 equal sections:5 red 4 green and the rest are black. In 921 spins how many times can you expect to spin black?

Komok [63]

Answer:

230

Step-by-step explanation:

12 sections total

5 red, 4 green, the rest black

12-5-4 = 3 sections are black

3/12 = 1/4 of the sections are black

1/4 represents the probability of landing on black for one spin

(1/4)*921 = 230.25 which rounds to 230

We expect to land on a black section about 230 times out of 921 times total.

8 0

3 years ago

A resident of Bayport claims to the City Council that the proportion of Westside residents

Kazeer [188]

Answer:

The test statistics is $z = -1.56$

The p-value is $p-value = 0.05938$

Step-by-step explanation:

From the question we are told

The West side sample size is $n_1 = 578$

The number of residents on the West side with income below poverty level is $k = 76$

The East side sample size $n_2=688$

The number of residents on the East side with income below poverty level is $u = 112$

The null hypothesis is $H_o : p_1 = p_2$

The alternative hypothesis is $H_a : p_1 < p_2$

Generally the sample proportion of West side is

$\^{p} _1 = \frac{k}{n_1}$

=> $\^{p} _1 = \frac{76}{578}$

=> $\^{p} _1 = 0.1315$

Generally the sample proportion of West side is

$\^{p} _2 = \frac{u}{n_2}$

=> $\^{p} _2 = \frac{112}{688}$

=> $\^{p} _2 = 0.1628$

Generally the pooled sample proportion is mathematically represented as

$p = \frac{k + u}{ n_1 + n_2 }$

=> $p = \frac{76 + 112}{ 578 + 688 }$

=> $p =0.1485$

Generally the test statistics is mathematically represented as

$z = \frac{\^ {p}_1 - \^{p}_2}{\sqrt{p(1- p) [\frac{1}{n_1 } + \frac{1}{n_2} ]} }$

=> $z = \frac{ 0.1315 - 0.1628 }{\sqrt{0.1485(1-0.1485) [\frac{1}{578} + \frac{1}{688} ]} }$

=> $z = -1.56$

Generally the p-value is mathematically represented as

$p-value = P(z < -1.56 )$

From z-table

$P(z < -1.56 ) = 0.05938$

So

$p-value = 0.05938$

3 0

3 years ago

Please help me solve this

Nataly_w [17]

Answer:

x = 24

Step-by-step explanation:

using the rule of exponents

$a^{m}$ × $a^{n}$ = $a^{(m +n)}$

consider left side

$5^{\frac{x}{6} }$ × $5^{\frac{x}{2} }$

= $5^{\frac{x}{6} }$ × $5^{\frac{3x}{6} }$

= $5^{\frac{4x}{6} }$

then

$5^{\frac{4x}{6} }$ = $5^{16}$

since the bases on both sides are equal, both 5 then equate exponents

$\frac{4x}{6}$ = 16 ( multiply both sides by 6 )

4x = 96 ( divide both sides by 4 )

x = 24

8 0

2 years ago