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quester [9]
3 years ago
14

Select the correct answer.

Mathematics
1 answer:
Tasya [4]3 years ago
3 0
A a certicle coalition
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A scientist wishes to estimate the mean breaking strength of a certain type of steel rod within 3.0 psi with 95% confidence. Bas
yaroslaw [1]

Answer:97 rods

Step-by-step explanation:

The number of steel rods for 95% confidence level

n=\left ( \frac{Z_\frac{\alpha }{2}\times \hat{\sigma }}{E} \right )^2

Z_\frac{\alpha }{2}=1.96

E=3

\hat{\sigma }=15

Substituting values

n=\left ( \frac{1.96\times 15}{3}\right )^2

n=96.04\approx 97

Thus 97 rods is tested

6 0
3 years ago
PLEASE HELP I NEED THIS ASAP<br> Find the vertex of y=x^2-7x+4
Goshia [24]

Answer:

\mathrm{Minimum}\space\left(\frac{7}{2},\:-\frac{33}{4}\right)

Step-by-step explanation:

y=x^2-7x+4\\\mathrm{The\:vertex\:of\:an\:up-down\:facing\:parabola\:of\:the\:form}\:y=ax^2+bx+c\:\mathrm{is}\:x_v=-\frac{b}{2a}\\\mathrm{The\:parabola\:params\:are:}\\a=1,\:b=-7,\:c=4\\x_v=-\frac{b}{2a}\\x_v=-\frac{\left(-7\right)}{2\cdot \:1}\\\mathrm{Simplify}\\x_v=\frac{7}{2}\\\mathrm{Plug\:in}\:\:x_v=\frac{7}{2}\:\mathrm{to\:find\:the}\:y_v\:\mathrm{value}\\y_v=\left(\frac{7}{2}\right)^2-7\cdot \frac{7}{2}+4\\

\mathrm{Simplify\:}\left(\frac{7}{2}\right)^2-7\cdot \frac{7}{2}+4:\quad -\frac{33}{4}\\y_v=-\frac{33}{4}\\Therefore\:the\:parabola\:vertex\:is\\\left(\frac{7}{2},\:-\frac{33}{4}\right)\\\mathrm{If}\:a0,\:\mathrm{then\:the\:vertex\:is\:a\:minimum\:value}\\a=1\\\mathrm{Minimum}\space\left(\frac{7}{2},\:-\frac{33}{4}\right)

6 0
3 years ago
Mr. Smith received a phone call from the bank manager. His bank balance had dropped to - $15 (he had overdrawn his account by $1
Pani-rosa [81]

Answer:

$10

Step-by-step explanation:

(-15) + 25 = 10

6 0
3 years ago
Read 2 more answers
Leader is a stockbroker 14% commission each week last week she said $7200 worth of stocks how much did she make last week interm
Feliz [49]

Answer:

$1,008 weekly,  $52,416 annually

Step-by-step explanation:

14% of $7200 is 7200 multiplied by .14 (% is decimal multiplied by 100)

.14 of 7200 = 1008

Since you specified the year, I'm going to assume that you need the annual salary based on the weekly salary that she gets from commissions.

$1008 per week, 52 weeks in a year

52 * 1008 = $52416, her commission in 2011

4 0
3 years ago
Luzon has 8 fish, 3 cats, and 2 dogs. Write two equivalent expressions using the Associative Property that can be used to find t
ohaa [14]
8 + 3 + 2 = 13 I hope this helps
8 0
3 years ago
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