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4 years ago

8

talia went to the pet store to mealworms for her lizard. her mom told her to buy more than 6, but less than 10. how many mealwor

ms should talia buy?

1 answer:

tatiyna4 years ago

6 0

Talia could by the following amount of mealworms:

7
8
9

So, that’s cool.

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Data were collected on the amount spent by 64 customers for lunch at a major Houston restaurant. These data are contained in the

galina1969 [7]

Answer:

a. The margin of error is 2.29.

b. 19.23 to 23.81

Step-by-step explanation:

The sample size is n=64.

We start by calculating the sample mean and standard deviation with the following formulas:

$M=\dfrac{1}{n}\sum_{i=1}^n\,x_i\\\\\\s=\sqrt{\dfrac{1}{n-1}\sum_{i=1}^n\,(x_i-M)^2}$

The sample mean is M=21.52.

The sample standard deviation is s=6.89.

We have to calculate a 99% confidence interval for the mean.

The population standard deviation is not known, so we have to estimate it from the sample standard deviation and use a t-students distribution to calculate the critical value.

When σ is not known, s divided by the square root of N is used as an estimate of σM:

$s_M=\dfrac{s}{\sqrt{N}}=\dfrac{6.89}{\sqrt{64}}=\dfrac{6.89}{8}=0.861$

The degrees of freedom for this sample size are:

$df=n-1=64-1=63$

The t-value for a 99% confidence interval and 63 degrees of freedom is t=2.656.

The margin of error (MOE) can be calculated as:

$MOE=t\cdot s_M=2.656 \cdot 0.861=2.29$

Then, the lower and upper bounds of the confidence interval are:

LL=M-t \cdot s_M = 21.52-2.29=19.23\\\\UL=M+t \cdot s_M = 21.52+2.29=23.81

The 99% confidence interval for the mean is (19.23, 23.81).

5 0

3 years ago

2kg of chicken<br> 61.5 g left<br> How many kg of chicken were eaten

denis23 [38]

Answer:

1.9385 kilograms were eaten

5 0

3 years ago

Read 2 more answers

weekly wages at a certain factory are normally distributed with a mean of $400 and a standard deviation of 50. find the probabil

GalinKa [24]

Answer:

47.5%

Step-by-step explanation:

Find the z-scores:

z = (x − μ) / σ

z₁ = (300 − 400) / 50 = -2

z₂ = (400 − 400) / 50 = 0

300 is 2 standard deviations below the mean, and 400 is 0 standard deviations from the mean.

From the empirical rule, 95% of a normal distribution is between -2 and +2 standard deviations. Since normal distributions are symmetrical, that means half of that is between -2 and 0 standard deviations.

95% / 2 = 47.5%

3 0

3 years ago

The scale on a blueprint indicates that ½ " equals 10 feet. What would be the ratio for this blueprint?

max2010maxim [7]

Answer:

the ratio for this blueprint is 1:20

Step-by-step explanation:

The scale on a blueprint indicates that ½ " equals 10 feet

The ratio is in the form of a:b

Here from the given information

the value of 'a' is 1/2 and the value of b is 10

so the ratio a:b becomes

$\frac{1}{2} : 10$

Multiply both sides of the ratio by 2 to remove fraction

$1:20$

so the ratio for this blueprint is 1:20

6 0

3 years ago

What is an equation of the line that passes through the point (-1, -3) and is

Soloha48 [4]

Answer:

y = 4x + 1

Step-by-step explanation:

1. Solve given equation for y

4x-y=2

4x=y+2

y=4x-2

2. Parallel in linear equations means the new line will have the same slope, so your new equation so far is

y=4x+b (formula being used is linear function y=mx+b)

3. (-1,-3) is a coordinate (x,y), so plug those values in for x and y so the only variable in your equation is b, the y-intercept

-3=4(-1)+b Solve for b

-3=-4+b

1=b

4. Rewrite your new equation with the m and b you now know

y=4x+1

7 0

3 years ago