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alexandr402 [8]
3 years ago
7

mrs. henein is purchasing cupcakes for her homeroom class. of each cupcake costs $2.25 and she has 31 students in her homeroom c

lass, how much will she spend?
Mathematics
2 answers:
sergiy2304 [10]3 years ago
6 0
The tecaher will spend $69.75
explanation:
you times the cost to the amount of students so 2.25 x 31= 69.75 thus that is how much she needs to spend
Luda [366]3 years ago
5 0

Answer:

$69.75

Step-by-step explanation:

Multiply $2.25 by 31 students

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The sum of two numbers is 18 the sum of greater numbers and twice the smaller numbers is 25 the numbers
Gnoma [55]

Answer:

  the numbers are 7 and 11

Step-by-step explanation:

If you add the smaller to the sum of numbers, you have the sum of the greater and twice the smaller. That is ...

  18 + smaller = 25

  smaller = 25 -18 = 7

  larger = 18 -7 = 11

The two numbers are 7 and 11.

_____

If you like, you can write two equations. Let x and y represent the smaller and larger numbers, respectively.

  x + y = 18

  2x + y = 25

Subtract the first equation from the second:

  (2x +y) -(x +y) = (25) -(18)

  x = 7

  y = 18-x = 18-7 = 11

The numbers are 7 and 11.

7 0
3 years ago
PLEASE SOLVE! Also how do you properly solve them ( please include steps)
Marizza181 [45]
1) 2x+3 = 5
-3 -3
2x =2
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2) -x + 8 = 5
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-x = -3
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6 0
3 years ago
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can some one explain how to get the answer to this : the record for the most amount of rain in the shortest periodontal time in
Vlad [161]
Do 42 divided by 15 then divided 12 by the awnser. And you do 42 divided by 28 and divided that by 12 I think I'm pretty sure
8 0
3 years ago
The diameter of steel rods manufactured on two different extrusion machines is being investigated. Two random samples of sizes
devlian [24]

Answer:

(a) There is no evidence to support the claim that the two machines produce rods with different mean diameters.

P-value is 0.818

(b) 95% confidence interval for the difference in mean rod diameter is (-0.17, 0.27).

This interval shows that the difference in mean is between -0.17 and 0.27.

Step-by-step explanation:

(a) Null hypothesis: The two machines produce rods with the same mean diameter.

Alternate hypothesis: The two machines produce rods with different mean diameter.

Machine 1

mean = 8.73

variance = 0.35

n1 = 15

Machine 2

mean = 8.68

variance = 0.4

n2 = 17

pooled variance = [(15-1)0.35 + (17-1)0.4] ÷ (15+17-2) = 11.3 ÷ 30 = 0.38

Test statistic (t) = (8.73 - 8.68) ÷ sqrt[0.38(1/15 + 1/17)] = 0.05 ÷ 0.218 = 0.23

degree of freedom = n1+n2-2 = 15+17-2 = 30

Significance level = 0.05 = 5%

Critical values corresponding to 30 degrees of freedom and 5% significance level are -2.042 and 2.042.

Conclusion:

Fail to reject the null hypothesis because the test statistic 0.23 falls within the region bounded by the critical values -2.042 and 2.042.

There is no evidence to support the claim that the two machines produce rods with different mean diameters.

Cumulative area of test statistic is 0.5910

The test is a two-tailed test.

P-value = 2(1 - 0.5910) = 2×0.409 = 0.818

(b) Difference in mean = 8.73 - 8.68 = 0.05

pooled sd = sqrt(pooled variance) = sqrt(0.38) = 0.62

Critical value (t) = 2.042

E = t×pooled sd/√n1+n2 = 2.042×0.62/√15+17 = 0.22

Lower limit of difference in mean = 0.05 - 0.22 = -0.17

Upper limit of difference in mean = 0.05 + 0.22 = 0.27

95% confidence interval for the difference in mean rod diameter is between a lower limit of -0.17 and an upper limit of 0.27.

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3 years ago
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Inessa [10]

Step-by-step explanation:

1.

true

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false

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yes

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A

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2 years ago
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