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2 years ago

Kerry and Tya are sharing a pack of stickers. Each girl gets 11 stickers. Write and solve a

Mathematics

2 answers:

Greeley [361]2 years ago

5 0

x/2=11

(x/2)*2=(11)*2

x=22

22 total stickers

padilas [110]2 years ago

3 0

Answer:

x/2=11

Please mark brainliest if you can

Step-by-step explanation:

x= total number of stickers

Each girl gets 11 stickers

x/2=11

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A public bus company official claims that the mean waiting time for bus number 14 during peak hours is less than 10 minutes. Kar

ch4aika [34]

Answer:

We conclude that the mean waiting time is less than 10 minutes.

Step-by-step explanation:

We are given that a public bus company official claims that the mean waiting time for bus number 14 during peak hours is less than 10 minutes.

Karen took bus number 14 during peak hours on 18 different occasions. Her mean waiting time was 7.8 minutes with a standard deviation of 2.5 minutes.

Let $\mu$ = mean waiting time for bus number 14.

So, Null Hypothesis, $H_0$ : $\mu \geq$ 10 minutes {means that the mean waiting time is more than or equal to 10 minutes}

Alternate Hypothesis, $H_A$ : $\mu$ < 10 minutes {means that the mean waiting time is less than 10 minutes}

The test statistics that would be used here One-sample t test statistics as we don't know about the population standard deviation;

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

where, $\bar X$ = sample mean waiting time = 7.8 minutes

s = sample standard deviation = 2.5 minutes

n = sample of different occasions = 18

So, test statistics = $\frac{7.8-10}{\frac{2.5}{\sqrt{18} } }$ ~ $t_1_7$

= -3.734

The value of t test statistics is -3.734.

Now, at 0.01 significance level the t table gives critical value of -2.567 for left-tailed test.

Since our test statistic is less than the critical value of t as -3.734 < -2.567, so we have sufficient evidence to reject our null hypothesis as it will fall in the rejection region due to which we reject our null hypothesis.

Therefore, we conclude that the mean waiting time is less than 10 minutes.

5 0

3 years ago

HELP ME PLEASEEEEEEEEEEEEEEEE

hoa [83]

90 mm ..................

5 0

3 years ago

Read 2 more answers

Classify the sequence arithmetic , geometric, or neither

Feliz [49]

Answer:

Geometric

Step-by-step explanation:

Given terms are {3, -1, 1/3, -1/9............}

If we have common difference between the terms then it is arithmetic

If we have common ratio between the terms then it is Geometric

Difference of 3 and -1 is 4

Difference of 1/3 and -1 is -4/3

Common difference it not same so it is not Arithmetic

Now we check common ratio

we divide second term by first term

first term is 3 and second term is -1

$\frac{-1}{3}$

now we check with next two terms

$\frac{\frac{1}{3}}{-1}=\frac{-1}{3}$

common ratio is -1/3

So this is Geometric

8 0

3 years ago

Read 2 more answers

How do I write an equation for each parabolas?

fredd [130]

Step-by-step explanation:

In the first parabola it opens on the left and the equation of parabola can be expressed as,

in vertical component (y)² = (-) a (x-h)² + k

cause the parabola is horizontal and it opens on the left.

2. In the second parabola the vertex opens on the right and hence the equation cane be given as,

in vertical component (y)² = a (x-h)² + k

cause the parabola is horizontal and opens on the right.

3. the third equation is given as,

in horizontal component (x²) = (-) a (x-h)² + k

since the parabola is vertical and opens down.

4. the fourth equation is given as,

in the horizontal component (x)² = a (x-h)² + k

since the parabola is vertical and opens up.

7 0

2 years ago

Changing Bases to Evaluate Logarithms In Exercise, use the change-of-base formula and a calculator to evaluate the logarithm.

Ymorist [56]

Answer:

$\frac{3}{2}$

Step-by-step explanation:

Changing Bases to Evaluate Logarithms

$log_{16}(64)$

Apply change of base formula'

$log_b(a)= \frac{log a}{log b}$

log term should be the numerator and denominator is the log base

$log_{16}(64)$

$log_{16}(a)= \frac{log 64}{log 16}$

64 is 4^3 and 16 is 4^2

$log_{16}(a)= \frac{log 4^3}{log 4^2}$

Move the exponent before log

$\frac{3log 4}{2log 4}$

top and bottom has same log so cancel it out

$\frac{3}{2}$

3 0

3 years ago