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vagabundo [1.1K]
3 years ago
12

Raheem made 14 ounces of curry sauce which contained (among other things), 3.25 ounces of spices. He wants to make a larger batc

h for a family dinner and decides he will need a total of 84 ounces of sauce altogether. How many ounces of spices will he need to complete his recipe?
Mathematics
1 answer:
wolverine [178]3 years ago
6 0

Answer:

19.5 ounces of spices

Step-by-step explanation:

Raheem made 14 ounces of curry sauce which contained (among other things), 3.25 ounces of spices. He wants to make a larger batch for a family dinner and decides he will need a total of 84 ounces of sauce altogether. How many ounces of spices will he need to complete his recipe?

The question above is calculated as:

14 ounces of sauce = 3.25 ounces of spices

84 ounces of sauce = x ounces of spices

Cross Multiply

14x = 84 × 3.25

x = 84 × 3.25/14

x = 19.5 ounces of spices

Hence, for 84 ounces of curry sauce he would need 19.5 ounces of spices

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A right rectangular container is 10 cm wide and 24 cm long and contains water to a depth of 14cm. A stone is placed in the water
Simora [160]

Answer:

1356cm3

Step-by-step explanation:

when the stone is dropped in to the water the new height is 17.4cm(14+3.4)

find the volume when the height is 14cm and when the height is 17.4cm

24*14*17.4=4716

24*14*14=3360

then subtract the two volumes

4716-3360=1356cm3

4 0
3 years ago
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A.$454.75<br> B.$502.75<br> C.$327.75<br> D.$327.25<br> E.None of These
ehidna [41]

Answer:

D. 327.25

Step-by-step explanation:

You start out with a gross pay of $415.00. When you have a deduction from your gross pay, it means it gets subtracted. So subtract the deductions of 48, 31.25, and 8.50 from 415 and it leaves you with 327.25.

415 48-31.25-8.50 = 327.25

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3 years ago
A supermarket reduced the price per pound whole chicken by 20%. How many pounds of chicken can now be purchased for the amount o
nignag [31]

Answer:

25 pounds

Step-by-step explanation:

Let us assume that initially, 1 pound of whole chicken costs x.

So, initially 20 pounds of whole chicken costs 20x.

Now, the price is reduced by 20%.

That means that 1 pound of whole chicken now costs  x[1-\frac{20}{100} ]=0.8x

Therefore, with a 0.8x amount of money, we can now purchase 1 pound of the whole chicken.  

Hence, with a 20x amount of money, we can now purchase \frac{20x}{0.8x}=25 pounds of the whole chicken.

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4 years ago
survey on televisions requiring repairs within four years was conducted. Nineteen out of 200 televisions from company A and 25 o
Fudgin [204]

Answer:

z=\frac{0.095-0.125}{\sqrt{0.11(1-0.11)(\frac{1}{200}+\frac{1}{200})}}=-0.959    

p_v =P(Z    

Comparing the p value with the significance level assumed\alpha=0.05 we see that p_v>\alpha so we can conclude that we have enough evidence to to FAIL to reject the null hypothesis, and we can't conclude that company A are more reliable than televisions from company B at 5% of significance.

Step-by-step explanation:

Data given and notation    

X_{1}=19 represent the number of tvs who need a repair for A

X_{2}=25 represent the number of tvs who need a repair for B

n_{1}=200 sample 1 selected  

n_{2}=200 sample 2 selected  

p_{1}=\frac{19}{200}=0.095 represent the proportion estimated for the sample A  

p_{2}=\frac{25}{200}=0.125 represent the proportion estimated for the sample B

\hat p represent the pooled estimate of p

z would represent the statistic (variable of interest)    

p_v represent the value for the test (variable of interest)  

\alpha=0.05 significance level given  

Concepts and formulas to use    

We need to conduct a hypothesis in order to check if company A are more reliable than televisions from company B (that means p1<p2) , the system of hypothesis would be:    

Null hypothesis:p_{1} \geq p_{2}    

Alternative hypothesis:p_{1} < p_{2}    

We need to apply a z test to compare proportions, and the statistic is given by:    

z=\frac{p_{1}-p_{2}}{\sqrt{\hat p (1-\hat p)(\frac{1}{n_{1}}+\frac{1}{n_{2}})}}   (1)  

Where \hat p=\frac{X_{1}+X_{2}}{n_{1}+n_{2}}=\frac{19+25}{200+200}=0.11  

z-test: Is used to compare group means. Is one of the most common tests and is used to determine whether the means of two groups are equal to each other.    

Calculate the statistic  

Replacing in formula (1) the values obtained we got this:    

z=\frac{0.095-0.125}{\sqrt{0.11(1-0.11)(\frac{1}{200}+\frac{1}{200})}}=-0.959    

Statistical decision  

Since is a left sided test the p value would be:    

p_v =P(Z    

Comparing the p value with the significance level assumed\alpha=0.05 we see that p_v>\alpha so we can conclude that we have enough evidence to to FAIL to reject the null hypothesis, and we can't conclude that company A are more reliable than televisions from company B at 5% of significance.    

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3 years ago
what is the smallest value of N that will make each number rational from this equation square root of 76+n and square root of 2n
gladu [14]

Answer:

For the smallest common denominator 76+n=2n+25, n would be 51

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