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fomenos
3 years ago
11

"how many four​-digit odd numbers are possible if the leftmost digit cannot be​ zero"

Mathematics
1 answer:
Oxana [17]3 years ago
3 0
1123 will be a good answer
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What value has a z-score of -0.67, if the mean is 18 and the standard deviation is 1.68?
uranmaximum [27]
The data point is 1.6 standard deviations above the mean.
Step-by-step explanation:
Z-score
It is the number of standard deviations from the mean that a data point is. It's a measure of how many standard deviations below or above the population mean a raw score is.
A Z-score is also known as a standard score and it can be placed on a normal distribution curve.
As in this case the Z-score is +1.6, so it means the data point is 1.6 standard deviations above the mean. Hope this helps I am kinda knew to this so I hope I helped you
7 0
2 years ago
A manufacturer of running shoes knows that the average lifetime for a particular model of shoes is 15 months. Someone in the res
Alexus [3.1K]

Answer:

Step-by-step explanation:

Hello!

So you have a new type of shoe that lasts presumably longer than the ones that are on the market. So your study variable is:

X: "Lifetime of one shoe pair of the new model"

Applying CLT:

X[bar]≈N(μ;σ²/n)

Known values:

n= 30 shoe pairs

x[bar]: 17 months

S= 5.5 months

Since you have to prove whether the new shoes last more or less than the old ones your statistical hypothesis are:

H₀:μ=15

H₁:μ≠15

The significance level for the test is given: α: 0.05

Your critical region will be two-tailed:

Z_{\alpha /2} = Z_{0.025}= -1.96

Z_{1-\alpha /2} = Z_{0.975}= 1.96

So you'll reject the null Hypothesis if your calculated value is ≤-1.96 or if it is ≥1.96

Now you calculate your observed Z-value

Z=<u>x[bar]-μ</u> ⇒ Z=<u>    17-15     </u> = 1.99

     σ/√n              5.5/√30

Since this value is greater than the right critical value, i.e. Zobs(1.99)>1.96 you reject the null Hypothesis. So the average durability of the new shoe model is different than 15 months.

I hope you have a SUPER day!

5 0
3 years ago
Please answer math question
slavikrds [6]

Answer:

y = -4x + 9

O.R. y = 9- 4x

(both answers are equivalent, the same)

Step-by-step explanation:

1. finding gradient of perpendicular line to the equation given.

2. use the point provided in the wuestion and substitute it into the linear form of your slope-intercept form, which in my country is called the linear form, meaning straight line graph.

3. get answers by finding the y-intercept of the equation wanted.

note:

y = mx + c is how and what i use in my school as the linear form, altho every school is different and I understand that, so do check again with your teacher if it is how you do such type of questions.

5 0
3 years ago
Given the diagram below, what is the length of segment EF
bekas [8.4K]
Let x = length of segment EF.

Assume that
(a) line segments AD,  EF, and BC are parallel, and
(b) the vertical distance between AD and EF is equal to the vertical distance between EF and BC.

Then from similarity between geometric shapes, we can write
\frac{2.2}{x} = \frac{x}{4.8}
x^{2} =(2.2)(4.8)=10.56
x=3.2   (nearest tenth)

Answer: B. 3.2
6 0
2 years ago
Read 2 more answers
At the beginning of each year for 14 years, Sherry Kardell invested $400 that earns 10% annually. What is the future value of Sh
Naddik [55]
Hmm if I'm not mistaken, is just an "ordinary" annuity, thus 

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\bf \begin{cases}&#10;A=&#10;\begin{array}{llll}&#10;\textit{original amount}\\&#10;\textit{already compounded}&#10;\end{array} &&#10;\begin{array}{llll}&#10;&#10;\end{array}\\&#10;pymnt=\textit{periodic payments}\to &400\\&#10;r=rate\to 10\%\to \frac{10}{100}\to &0.1\\&#10;n=&#10;\begin{array}{llll}&#10;\textit{times it compounds per year}\\&#10;\textit{annually, so once}&#10;\end{array}\to &1\\&#10;&#10;t=years\to &14&#10;\end{cases}&#10;\\\\\\&#10;A=400\left[ \cfrac{\left( 1+\frac{0.1}{1} \right)^{1\cdot 14}-1}{\frac{0.1}{1}} \right]&#10;
3 0
3 years ago
Read 2 more answers
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